From 288b4b5b9fe88a1493f14f288d913a22b8c090d0 Mon Sep 17 00:00:00 2001
From: Ali Romman <226877337+aliromman@users.noreply.github.com>
Date: Fri, 23 Oct 2026 18:43:12 -0500
Subject: [PATCH 1/2] Prove all-length fresh-stage code separation and certify
 every negative bank

---
 .../fresh-stage-code-separation/MARKERS.json  |  117 +
 research/fresh-stage-code-separation/PROOF.md |  235 +
 .../fresh-stage-code-separation/README.md     |  115 +
 .../RESEARCH-NOTES.md                         |   55 +
 .../fresh-stage-code-separation/RESULT.json   |  868 +++
 .../fresh-stage-code-separation/SOURCES.json  |  137 +
 .../fresh-stage-code-separation/TASK.json     |   79 +
 .../fresh-stage-code-separation/VERIFY.json   |   30 +
 .../inputs/CODE.json                          |    1 +
 .../inputs/GAUGE.json                         | 4741 +++++++++++++++++
 .../inputs/GAUGE.md                           |   77 +
 .../inputs/LICENSE                            |  201 +
 .../inputs/NORMALIZERS.json                   |  126 +
 .../fresh-stage-code-separation/inputs/NOTICE |    6 +
 .../inputs/ORIGINS.json                       |   30 +
 .../inputs/TERMINAL.md                        |   74 +
 .../select_markers.py                         |   35 +
 .../fresh-stage-code-separation/verify.py     |  434 ++
 18 files changed, 7361 insertions(+)
 create mode 100644 research/fresh-stage-code-separation/MARKERS.json
 create mode 100644 research/fresh-stage-code-separation/PROOF.md
 create mode 100644 research/fresh-stage-code-separation/README.md
 create mode 100644 research/fresh-stage-code-separation/RESEARCH-NOTES.md
 create mode 100644 research/fresh-stage-code-separation/RESULT.json
 create mode 100644 research/fresh-stage-code-separation/SOURCES.json
 create mode 100644 research/fresh-stage-code-separation/TASK.json
 create mode 100644 research/fresh-stage-code-separation/VERIFY.json
 create mode 100644 research/fresh-stage-code-separation/inputs/CODE.json
 create mode 100644 research/fresh-stage-code-separation/inputs/GAUGE.json
 create mode 100644 research/fresh-stage-code-separation/inputs/GAUGE.md
 create mode 100644 research/fresh-stage-code-separation/inputs/LICENSE
 create mode 100644 research/fresh-stage-code-separation/inputs/NORMALIZERS.json
 create mode 100644 research/fresh-stage-code-separation/inputs/NOTICE
 create mode 100644 research/fresh-stage-code-separation/inputs/ORIGINS.json
 create mode 100644 research/fresh-stage-code-separation/inputs/TERMINAL.md
 create mode 100644 research/fresh-stage-code-separation/select_markers.py
 create mode 100644 research/fresh-stage-code-separation/verify.py

diff --git a/research/fresh-stage-code-separation/MARKERS.json b/research/fresh-stage-code-separation/MARKERS.json
new file mode 100644
index 0000000000..da17f5279a
--- /dev/null
+++ b/research/fresh-stage-code-separation/MARKERS.json
@@ -0,0 +1,117 @@
+{
+  "candidates": [
+    {
+      "count": 1,
+      "markers": [
+        309
+      ],
+      "peak": 1,
+      "stages": 1
+    },
+    {
+      "count": 1,
+      "markers": [
+        126614
+      ],
+      "peak": 1,
+      "stages": 2
+    },
+    {
+      "count": 1,
+      "markers": [
+        3899261
+      ],
+      "peak": 26,
+      "stages": 3
+    },
+    {
+      "count": 1,
+      "markers": [
+        506572403
+      ],
+      "peak": 23,
+      "stages": 4
+    },
+    {
+      "count": 1,
+      "markers": [
+        833124451870,
+        1265346890653
+      ],
+      "peak": 4,
+      "stages": 5
+    },
+    {
+      "count": 1,
+      "markers": [
+        408929468020584
+      ],
+      "peak": 1,
+      "stages": 6
+    },
+    {
+      "count": 1,
+      "markers": [
+        49963241663044660,
+        139458250462523461
+      ],
+      "peak": 1,
+      "stages": 7
+    },
+    {
+      "count": 1,
+      "markers": [
+        22574143951628378081
+      ],
+      "peak": 25,
+      "stages": 8
+    },
+    {
+      "count": 1,
+      "markers": [
+        3269233485147391114919,
+        4403999331618672021121
+      ],
+      "peak": 9,
+      "stages": 9
+    },
+    {
+      "count": 1,
+      "markers": [
+        1910808833422019235783220062917221040555207,
+        31138120231488384951815458939426290644375402
+      ],
+      "peak": 2,
+      "stages": 18
+    },
+    {
+      "count": 1,
+      "markers": [
+        70541796919628375671566128214651723834380243,
+        7254591141270298746910948977345352434546466706
+      ],
+      "peak": 9,
+      "stages": 19
+    },
+    {
+      "count": 1,
+      "markers": [
+        90820347916622095582518564211431716385362683871828793962635448903515985308854,
+        10473238722956155051163163647634649414165919268007979792005949676167568968016,
+        138933692058999963102023854015813076970582531981952560053409013640878614458377
+      ],
+      "peak": 6,
+      "stages": 32
+    },
+    {
+      "count": 1,
+      "markers": [
+        3343955490819597787952613139068032833544208852026367057145856864438779104667712000068790382824883088091813720035528484315720325081696655061336528118435375,
+        7805584683125670274885243387008365246617964388761818552047635448596094037468158648266415105160820519742545074469325854219248677138452069352146598005629804
+      ],
+      "peak": 41,
+      "stages": 64
+    }
+  ],
+  "seed": 5376
+}
diff --git a/research/fresh-stage-code-separation/PROOF.md b/research/fresh-stage-code-separation/PROOF.md
new file mode 100644
index 0000000000..0525058917
--- /dev/null
+++ b/research/fresh-stage-code-separation/PROOF.md
@@ -0,0 +1,235 @@
+# Fresh-stage code products retain a terminal obstruction
+
+Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0.
+The source code is from Dillon / PR4933 and Dugongue / PR4929.
+Cinna Davis / PR5065 supplied the previous two-stage support theorem.
+
+## 1. Statement and source contract
+
+Fix k >= 1, independent of f. The binary address space is the direct sum of a common line E,
+with basis vector e, and k private spaces V_s of dimension eight. Each stage
+uses E + V_s and acts as the identity on all other private spaces. Each stage
+occurs once. Its exponent a_s can be any nonzero integer. Stage order is free.
+
+The 112 signed orthogonal monomial maps K_i and the rational matrix A are
+exactly the source data in inputs/. Their binary parts G_i satisfy
+
+    G_i e = q_i,       q_i != q_j for i != j,
+    A^2 + 12 A = 13 I,       A_01 = A_10 = -1/2.
+
+All G_i are orthogonal over F2. Define, at positive tensor width f,
+
+    (C_s,f)_ij = A_ij (K_s,i^-1 K_s,j)^(tensor f),
+    Q = (1+i) I/2 + (1-i) T_e/2,
+    B_f = C_k,f^a_k ... C_1,f^a_1,
+    J_f = Q^(-tensor f) B_f Q^(tensor f).
+
+Each owner coefficient is applied once, outside the tensor power. Tensoring
+the whole owner matrix would define a different operator.
+
+**Theorem.** Any exact implementation of J_f by scalar ADD/SCALE, monomial
+address maps, COPY and CLEAR has an ADD count g with
+
+    g >= max(0, 2f - 24k).
+
+There can be arbitrary mixing between owners and arbitrary owned workspace.
+The instruction schedule is linear and does not depend on input values.
+The scalar coefficients and monomial maps can depend on f. The bound still
+excludes an ADD count that is constant in f. It also applies to B_f^-1,
+because inversion reverses the distinct stages and negates their exponents.
+It does not bound the minimum number of paid Gaussian calls.
+
+For all sixteen negative-output banks in the saved PR4933 caller, the finite
+marker certificates below give the stronger bound
+
+    g >= max(0, 2f - 6).
+
+Some banks have offset three. The previous two-stage offset two is stronger
+for its two named banks and remains valid. No new kappa follows from these
+bounds. A bound linear in f does not exclude a scalar algorithm with that
+cost, an already-paid decoder, or a different recursive target type.
+
+## 2. Ordered local binary maps have a unique factorization
+
+Let H_s be the subgroup of GL(E + direct-sum V_t, F2) obtained by extending
+GL(E + V_s, F2) by the identity. If F_s and F'_s belong to H_s and
+
+    F_k ... F_1 = F'_k ... F'_1,
+
+then F_s = F'_s for every s. To prove this, move the last factors to one side:
+
+    (F'_k)^-1 F_k = F'_(k-1) ... F'_1 F_1^-1 ... F_(k-1)^-1.
+
+The left side is supported on E + V_k. The right side is supported on E plus
+the earlier private spaces. Their intersection is GL(E,F2). This group is
+trivial because E is a binary line. The last factors are equal. Remove them
+and repeat. This argument does not assume that the stages commute.
+
+Fix an input owner j_0 and an output owner j_k. A path j_0,...,j_k has binary
+map
+
+    G_path = product_(s=k,...,1) (G_s,j_s^-1 G_s,j_(s-1)).
+
+If two paths have the same map, the local factors are equal by the lemma.
+At the last stage the output owner is fixed, so equality forces the two
+previous G matrices to be equal. Their central images q_i are distinct,
+so the previous owner is the same. Repeat backwards. Thus every owner path
+has a different complete binary map, including paths with zero coefficients.
+Signed monomial terms therefore cannot cancel after collection.
+
+This is a statement about this ordered fresh-stage domain. It is not a
+unique-factorization claim for arbitrary words in the generated groups.
+
+## 3. A nonzero path survives every integer power
+
+The polynomial for A gives, for every integer a,
+
+    A^a = alpha_a A + (1-alpha_a) I,
+    alpha_a = (1-(-13)^a)/14.
+
+This follows by evaluating at the two distinct eigenvalues 1 and -13. It is
+valid for negative a because both eigenvalues are nonzero. Alpha_a is nonzero
+when a is nonzero. The same formula holds for C_s,f, since it is a block
+monomial conjugate of A tensored with the identity on the address space.
+
+Take the path j_s = s mod 2, starting at owner zero. Its coefficient is
+
+    c = (-1/2)^k product_s alpha_a_s != 0.
+
+At its first stage the map G_1,1^-1 G_1,0 sends e to a vector different from
+e. The vector is nonzero. It therefore has a nonzero component in V_1.
+Later stages cannot change that component. The complete G_path e differs
+from e. This path has a unique binary map by Section 2.
+
+The argument works for either parity of k. For even k the witness is in
+owner block (0,0); for odd k it is in block (1,0). It need not use the same
+owner block as the two-stage predecessor.
+
+## 4. Four nonzero entries after central conjugation
+
+Let M|x> = s(x)|Gx>, where s(x) is +1 or -1, and let G e != e. Direct expansion
+gives
+
+    2 Q^-1 M Q |x>
+      = s(x)|Gx> - i s(x+e)|Gx+Ge>
+        + i s(x)|Gx+e> + s(x+e)|Gx+Ge+e>.
+
+The four destinations are distinct because e and Ge are independent.
+Every coefficient has absolute value 1/2. The inverse map also moves e,
+so application of this argument to the adjoint proves that each row has
+four nonzero entries. This is the source's one-stage support argument.
+
+Write N_path = Q^-1 M_path Q. In one fixed owner block,
+
+    J_f = sum_path c_path N_path^(tensor f).
+
+This is a finite sum for fixed k. There can be exponentially many paths.
+The next step isolates one path without assuming that this sum is a tensor
+power of its width-one value.
+
+## 5. A coordinate contraction isolates a path
+
+All binary maps G_path are orthogonal. Two such maps that agree on the
+n-1 private basis vectors also agree on e, where n=8k+1. Indeed, the image
+of e is the unique nonzero vector in the orthogonal complement of the
+other n-1 orthonormal columns.
+
+Let G_* be the selected path in Section 3. For each private basis vector
+x_l, put y_l=G_* x_l and define a linear functional on base matrices by
+
+    ell_l(N) = (Q N Q^-1)[y_l,x_l].
+
+There are m=8k functionals. For each path, ell_l(N_path) is its signed
+monomial entry M_path[y_l,x_l]. The selected path has value +1 or -1 at
+every marker. Every other path has a zero marker. Contract the first m
+tensor factors of J_f with these functionals. For f>=m the result is
+
+    c_* eta N_*^(tensor (f-m)),       eta in {+1,-1}.
+
+This is a proof operation. It is not a free physical projector or an
+instruction that the caller can execute without charge.
+
+Each ell_l is a sum of four entries of N, using at most two output indices
+and two input indices. Fix any output row in the remaining factors. The
+contraction uses at most 2^m actual rows of J_f. If each actual row has at
+most S nonzero input coordinates, the contracted row has at most 2^m S
+nonzero remaining input coordinates. Summing over marker input indices
+cannot increase this union beyond S for each fixed actual row.
+
+The isolated row has exactly 4^(f-m) nonzero entries. Consequently
+
+    S >= 4^(f-m) / 2^m = 2^(2f-3m).
+
+Every initial role row depends on at most one independent input coordinate.
+A monomial map, SCALE, COPY or CLEAR cannot increase the maximum support.
+Each binary scalar ADD increases it by at most a factor two. Thus S<=2^g,
+and g>=2f-3m=2f-24k. For f<m the stated nonnegative bound is automatic.
+This proves the theorem. It permits arbitrary cross-owner scalar work;
+no source-preserving or two-read restriction was imposed.
+
+## 6. Short certificates for the actual caller
+
+A marker need not be a basis vector. Any inputs x_1,...,x_m that isolate the
+selected path give the same bound g>=max(0,2f-3m). MARKERS.json records such
+addresses. They were found by a deterministic bounded search; their validity
+does not depend on the search or its seed.
+
+The checker counts every surviving owner path by dynamic programming. At a
+stage boundary its state is the current owner and the m central bits. Each
+private input block is already fixed by the marker input. The stage must
+produce the prescribed private output block. Those bits never change again.
+The state then records the new owner and central bits. There are at most
+112*2^m states per layer. Counts are exact nonnegative integers.
+
+The transition domain includes every nonzero A edge and every diagonal edge.
+It therefore contains the nonzero paths of every nonzero integer power,
+regardless of signs. A final count of one proves that only the selected path
+survives. A second computation runs backwards, using separately composed
+inverse matrices instead of the forward literal K lookup tables. The small
+complete path censuses check the coordinate contraction directly.
+
+Every bank length in the source endpoint has a certificate with m<=2.
+The longest negative bank has eighteen distinct stages. The source specifies
+its endpoint as E_i=Q^-1 B_i D_i and its required Gaussian job as Q^-1 D_i.
+Its unique postdecoder is Q^-1 B_i^-1 Q, which is covered by the theorem.
+The saved endpoint and its source lineage remain premises: this package does
+not replay or admit the full producer, compiler, or outer construction.
+
+The theorem concerns decoding from the emitted bank and independent extra
+inputs. Additional retained histories correlated with the original main
+inputs can change that interface. Their complete charged consumer is outside
+this theorem and remains an active research route.
+
+## 7. Two explicit boundaries of the result
+
+Repeated stages can cancel: C_s C_s^-1=I. Their factors do not have distinct
+private supports, so Section 2 does not apply. This is an exact positive
+control, not a claim that a profitable repeated-stage caller exists.
+
+Two common axes also change the lemma. On four coordinates, let the common
+space have axes 0,1, and let the two private spaces have axes 2 and 3. Put
+
+    H=(0 1),       L=(0 3),       R=(0 2).
+
+Here permutations denote binary permutation matrices. Both factorizations
+
+    L R = (L H)(H R)
+
+use the correct two local supports, but their local factors differ. More
+concretely, choose K_t,0=K_s,1=I, K_t,2=L, K_s,2=R, and
+K_t,98=L H, K_s,98=R H. The two intermediate-owner paths 2 and 98 have the
+same signed monomial L R. Their port images are distinct within each named
+stage. In the actual scalar code,
+
+    A_02 A_21 = 1/4,       A_0,98 A_98,1 = -1/4.
+
+These two terms cancel exactly, at every tensor width, even after conjugation
+by Q. Each term alone is nonmonomial after that conjugation. The control uses
+permutation lifts with sign +1, so it also checks absolute phase.
+
+This is a concrete two-path cancellation under a changed interface. It is
+not a completed 112-owner provider, a replacement for all the source port
+normalizers, or a favorable paid invoice. The additional shared axis and its
+producer, targets, restoration, and routing must all be charged. It identifies
+an algebraic mechanism that the one-line theorem excludes, rather than a
+new kappa improvement.
diff --git a/research/fresh-stage-code-separation/README.md b/research/fresh-stage-code-separation/README.md
new file mode 100644
index 0000000000..48ff1cede8
--- /dev/null
+++ b/research/fresh-stage-code-separation/README.md
@@ -0,0 +1,115 @@
+# Fresh-stage terminal codes: an all-length obstruction and a changed interface
+
+For the actual PR4933 code, a product of any fixed number of distinct fresh
+stages cannot acquire a constant-size scalar/monomial terminal decoder. This
+holds for every order, every nonzero integer stage power, arbitrary scalar
+owner mixing, and owned workspace. The proof gives
+`ADDs >= max(0, 2f - 24k)` for k stages and tensor width f.
+
+Exact short certificates cover **all sixteen negative-output banks** in the
+saved caller, including its eighteen-stage bank. They give the stronger bound
+`ADDs >= max(0, 2f - 6)` for each bank. These bounds cannot be added across
+banks. The earlier two-stage result has a better constant for its two banks.
+
+The [proof](PROOF.md) separates every owner path through the private stage
+coordinates. It then contracts a few coordinate columns to retain one
+nonmonomial term. The [receipt](RESULT.json) and [marker certificates](MARKERS.json)
+contain the finite source and caller checks. The all-length statement rests
+on the written induction, not a stage-count census.
+
+**No new kappa is claimed.** The selected conditional value at the pinned base
+is 0.0030217758. This result rejects free terminal cancellation by adding more
+distinct fresh stages. It does not reject paid decoders, a number of scalar
+operations that grows with f, correlated retained histories, repeated stages,
+changed whole-controller boundaries, or a new recursive job family.
+
+There is a constructive boundary example. With **two shared central axes**,
+two different owner paths have the same complete operator. Actual source
+coefficients +1/4 and -1/4 then cancel at every tensor width. Section 7 gives
+all maps and checks their phases. This supplies a concrete cancellation
+mechanism outside the theorem. It is only a two-path construction, not a
+complete 112-owner provider or a favorable recursive invoice.
+
+## Reproduce
+
+Use Python 3.12 and its standard library, from the repository root:
+
+```sh
+python3 -B scripts/research_package.py --package research/fresh-stage-code-separation
+```
+
+The standalone, read-only checks are:
+
+```sh
+python3 -I -B research/fresh-stage-code-separation/verify.py
+python3 -I -O -B research/fresh-stage-code-separation/verify.py
+```
+
+Expected final marker:
+
+```text
+PASS_ALL_LENGTH_FRESH_STAGE_SEPARATION_NO_NEW_KAPPA
+```
+
+A direct normal replay took 7.91 seconds on the author's CPython 3.12.13
+macOS host. This is a local measurement, not a portable performance bound.
+The checks include 57,344 signed normalizer entries, 12,544 code-polynomial
+entries, all 12,656 two/three-stage paths, 12,654 explicit killing markers,
+and forward/reverse dynamic programs for the short certificates. The larger
+path controls reach 64 stages. Exact repeated-stage cancellation and a
+two-shared-axis collision check the excluded premises.
+
+The marker proposer is separate from the verifier. To reproduce its bounded
+search, use a new output file:
+
+```sh
+python3 -B research/fresh-stage-code-separation/select_markers.py --output /tmp/fresh-markers.json
+```
+
+The verifier imports no source evaluator or proposer. Its two path evaluators
+use composed signed maps and literal lookup tables. Its two dynamic programs
+run in opposite directions with different local calculations. They share the
+source data and elementary matrix code; this is not independent human or
+proof-kernel review. No complete supplier, compiler, outer, selected cold,
+Lean or Docker replay is claimed.
+
+## Open next questions
+
+1. Complete a two-shared-axis native provider that uses the displayed
+   cancellation. Start with one two-stage pair, complete every owner map and
+   every original-input output, then price the extra central axis and lost
+   targets. The current two-path witness supplies neither that provider nor
+   a favorable cost allowance. A full optimistic bill must pass before a
+   larger search is justified.
+2. Bind one original negative bank to an available paid IDLE or to a charged
+   scalar program whose length depends on f. Check every input, return,
+   precision and movement charge. The ADD lower bound alone cannot compare
+   that complete cost with the center saving. Existing paid-history and
+   coupled-helper caller claims remain separate.
+
+## Source, credit and status
+
+The base is canonical main `1ec1119972c9aefe42525172d07b332fcff81cb4`,
+priority revision 7. [SOURCES.json](SOURCES.json) binds all copied bytes and
+retains source notices and license. The
+[canonical claim](https://github.com/CrocSwap/integer-mult-bounds/discussions/4930#discussioncomment-19156145)
+records the scope and overlap. [RESEARCH-NOTES.md](RESEARCH-NOTES.md) records
+the route decision and the failed preliminary screen.
+
+Dillon's [PR #4933](https://github.com/CrocSwap/integer-mult-bounds/pull/4933)
+supplies the physical normalizers, one-stage support argument and complete
+coded caller. Cinna Davis's
+[PR #5065](https://github.com/CrocSwap/integer-mult-bounds/pull/5065) supplies
+the two-stage marker proof and the longer-product question. Dugongue's
+[PR #4929](https://github.com/CrocSwap/integer-mult-bounds/pull/4929) supplies
+the center-free code. Cao Yifan / intqwq, Cinna Davis / 1337isnot1337, zxv,
+Jacob Alan Sussman, Ryanson Jonathan and the native/controller lineage retain
+their source credit. The inherited code, its spectrum and the one-stage
+four-point expansion are not new results here.
+
+The new contribution is ordered fresh-stage path separation, the all-length
+support bound, short exact certificates for the other caller banks, and the
+explicit two-center path cancellation. These are author-checked mathematical
+results, without a literature-priority claim. Prepared by Ali Romman with
+substantial OpenAI Codex assistance; Apache-2.0. No selected frontier change,
+merge, or change to another contributor's work is requested.
diff --git a/research/fresh-stage-code-separation/RESEARCH-NOTES.md b/research/fresh-stage-code-separation/RESEARCH-NOTES.md
new file mode 100644
index 0000000000..a95a915a64
--- /dev/null
+++ b/research/fresh-stage-code-separation/RESEARCH-NOTES.md
@@ -0,0 +1,55 @@
+# Research decisions and checks
+
+The user asked for more progress after PR5376 applied the new Clifford
+verifier to the complete selected local provider. That earlier package
+excludes fixed early/late pair fusions. It stays unchanged.
+
+The new round started from canonical main
+`1ec1119972c9aefe42525172d07b332fcff81cb4`. Current priorities retain broad
+mechanism work. The selected value is 0.0030217758. The complete direct-caller
+comparison is PR5398 / PR5400 at 0.00302728823. No claim in this package raises
+those values.
+
+A preliminary frame-contact probe rebuilt the selected word as 1,068 contact
+components and 3,298 paid edges. With original endpoints, warps and centers
+fixed, 718 components were free. Replacing one component by a neighboring
+existing frame gave no lower approximate moment at exponent 0.997. This is
+only a small discovery screen. It is not an optimum or a new contribution.
+The live overlap check found broader active frame searches, so this lane was
+left to their owners. The probe scripts and receipts are saved in the task's
+project research record.
+
+The coded-reverse proposal has separate physical and compiler gaps. The
+existing one/two-stage terminal results explicitly leave longer distinct-stage
+products open. The new question takes that released mathematical gap. It does
+not take the active native paid-history or coupled-helper caller work.
+The overlap snapshot at 23:17/23:18 UTC on 2026-10-23 covered all 354 open PR
+bodies and 4,690 Discussion records with complete remote pagination. Local
+notes were sparse. It is not an exhaustive code or literature novelty search.
+
+The first proof used 8k private basis columns as markers. This gives an
+all-length theorem without expanding the owner paths. A bounded marker search
+then found one or two columns for every bank length in the actual caller.
+Exact forward/reverse dynamic counts, rather than a random sample, check each
+saved marker set against all paths. The count domain also includes diagonal
+edges, so the certificates cover every nonzero integer stage power.
+
+The scalar code relation extends the sign cases to arbitrary nonzero integer
+powers. No source coefficient is tensor powered. This distinction is retained
+in the proof and checks.
+
+The unique factorization uses GL(1,F2)={I}. A second common binary coordinate
+removes that premise. Two actual opposite scalar coefficients then admit an
+exact path cancellation with changed permutation normalizers. This is a useful
+new algebraic direction, but no complete changed native provider was built.
+The additional central axis, all remaining owners, targets and cleanup are
+unpriced. The family expansion decision is therefore: publish the theorem and
+small exact escape mechanism; require a complete two-stage budget before a
+larger synthesis campaign.
+
+Normal/optimized registered replays, committed bytes, export checks and
+publication evidence are reported in the final public handoff. This file does
+not treat a pending hosted check as a pass. The mathematical proof and finite
+checks are distinct. Independent human and formal-kernel review remain open.
+
+Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0.
diff --git a/research/fresh-stage-code-separation/RESULT.json b/research/fresh-stage-code-separation/RESULT.json
new file mode 100644
index 0000000000..11420b222f
--- /dev/null
+++ b/research/fresh-stage-code-separation/RESULT.json
@@ -0,0 +1,868 @@
+{
+  "code_polynomial_entries": 12544,
+  "complete_path_censuses": [
+    {
+      "active_paths": [
+        53,
+        52,
+        52,
+        52
+      ],
+      "all_paths": 112,
+      "marker_columns": 16,
+      "signs": [
+        [
+          -1,
+          -1
+        ],
+        [
+          -1,
+          1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          1,
+          1
+        ]
+      ],
+      "stages": 2
+    },
+    {
+      "active_paths": [
+        1361,
+        1333,
+        1333,
+        1306,
+        1333,
+        1306,
+        1306,
+        1280
+      ],
+      "all_paths": 12544,
+      "marker_columns": 24,
+      "signs": [
+        [
+          -1,
+          -1,
+          -1
+        ],
+        [
+          -1,
+          -1,
+          1
+        ],
+        [
+          -1,
+          1,
+          -1
+        ],
+        [
+          -1,
+          1,
+          1
+        ],
+        [
+          1,
+          -1,
+          -1
+        ],
+        [
+          1,
+          -1,
+          1
+        ],
+        [
+          1,
+          1,
+          -1
+        ],
+        [
+          1,
+          1,
+          1
+        ]
+      ],
+      "stages": 3
+    }
+  ],
+  "controls": {
+    "rejection_controls": 5,
+    "repeated_stage_inverse": true,
+    "two_common_axes_collision": true
+  },
+  "literal_killing_markers": 12654,
+  "long_path_stage_counts": [
+    1,
+    4,
+    8,
+    16,
+    19,
+    32,
+    64
+  ],
+  "negative_banks": [
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        -1,
+        1
+      ],
+      "marker_columns": 1,
+      "role": 0,
+      "selected_path_coefficient": "1/52",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ]
+      ],
+      "stages": 2
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1
+      ],
+      "marker_columns": 1,
+      "role": 1,
+      "selected_path_coefficient": "-1/104",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ]
+      ],
+      "stages": 3
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 1,
+      "role": 2,
+      "selected_path_coefficient": "1/208",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ]
+      ],
+      "stages": 4
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 2,
+      "role": 3,
+      "selected_path_coefficient": "-1/416",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ]
+      ],
+      "stages": 5
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 1,
+      "role": 4,
+      "selected_path_coefficient": "1/832",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ],
+        [
+          23,
+          -1
+        ]
+      ],
+      "stages": 6
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 2,
+      "role": 5,
+      "selected_path_coefficient": "-1/1664",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ],
+        [
+          23,
+          -1
+        ],
+        [
+          21,
+          -1
+        ]
+      ],
+      "stages": 7
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 1,
+      "role": 6,
+      "selected_path_coefficient": "1/3328",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ],
+        [
+          23,
+          -1
+        ],
+        [
+          21,
+          -1
+        ],
+        [
+          19,
+          -1
+        ]
+      ],
+      "stages": 8
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1
+      ],
+      "marker_columns": 2,
+      "role": 7,
+      "selected_path_coefficient": "-1/6656",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ],
+        [
+          23,
+          -1
+        ],
+        [
+          21,
+          -1
+        ],
+        [
+          19,
+          -1
+        ],
+        [
+          17,
+          -1
+        ]
+      ],
+      "stages": 9
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        1,
+        -1
+      ],
+      "marker_columns": 1,
+      "role": 8,
+      "selected_path_coefficient": "1/52",
+      "source_word": [
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 2
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 1,
+      "role": 9,
+      "selected_path_coefficient": "-1/104",
+      "source_word": [
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 3
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 1,
+      "role": 10,
+      "selected_path_coefficient": "1/208",
+      "source_word": [
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 4
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 2,
+      "role": 11,
+      "selected_path_coefficient": "-1/416",
+      "source_word": [
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 5
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 1,
+      "role": 12,
+      "selected_path_coefficient": "1/832",
+      "source_word": [
+        [
+          9,
+          -1
+        ],
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 6
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 2,
+      "role": 13,
+      "selected_path_coefficient": "-1/1664",
+      "source_word": [
+        [
+          11,
+          -1
+        ],
+        [
+          9,
+          -1
+        ],
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 7
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 3)",
+      "decoder_execution_powers": [
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 1,
+      "role": 14,
+      "selected_path_coefficient": "1/3328",
+      "source_word": [
+        [
+          13,
+          -1
+        ],
+        [
+          11,
+          -1
+        ],
+        [
+          9,
+          -1
+        ],
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 8
+    },
+    {
+      "add_lower_bound": "max(0, 2*f - 6)",
+      "decoder_execution_powers": [
+        -1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        1,
+        -1
+      ],
+      "marker_columns": 2,
+      "role": 15,
+      "selected_path_coefficient": "1/44302336",
+      "source_word": [
+        [
+          32,
+          1
+        ],
+        [
+          31,
+          -1
+        ],
+        [
+          29,
+          -1
+        ],
+        [
+          27,
+          -1
+        ],
+        [
+          25,
+          -1
+        ],
+        [
+          23,
+          -1
+        ],
+        [
+          21,
+          -1
+        ],
+        [
+          19,
+          -1
+        ],
+        [
+          17,
+          -1
+        ],
+        [
+          15,
+          -1
+        ],
+        [
+          13,
+          -1
+        ],
+        [
+          11,
+          -1
+        ],
+        [
+          9,
+          -1
+        ],
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "stages": 18
+    }
+  ],
+  "normalizer_entries": 57344,
+  "owner_count": 112,
+  "scope": "Every nonempty product of distinct fresh stages with nonzero integer powers",
+  "selected_kappa_unchanged": "0.0030217758",
+  "short_marker_certificates": [
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 1,
+      "paths": 1,
+      "stages": 1
+    },
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 1,
+      "paths": 1,
+      "stages": 2
+    },
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 26,
+      "paths": 1,
+      "stages": 3
+    },
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 23,
+      "paths": 1,
+      "stages": 4
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 4,
+      "paths": 1,
+      "stages": 5
+    },
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 1,
+      "paths": 1,
+      "stages": 6
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 1,
+      "paths": 1,
+      "stages": 7
+    },
+    {
+      "add_offset": 3,
+      "markers": 1,
+      "maximum_states": 25,
+      "paths": 1,
+      "stages": 8
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 9,
+      "paths": 1,
+      "stages": 9
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 2,
+      "paths": 1,
+      "stages": 18
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 9,
+      "paths": 1,
+      "stages": 19
+    },
+    {
+      "add_offset": 9,
+      "markers": 3,
+      "maximum_states": 6,
+      "paths": 1,
+      "stages": 32
+    },
+    {
+      "add_offset": 6,
+      "markers": 2,
+      "maximum_states": 41,
+      "paths": 1,
+      "stages": 64
+    }
+  ],
+  "status": "PASS_ALL_LENGTH_FRESH_STAGE_SEPARATION_NO_NEW_KAPPA",
+  "theorem_add_lower_bound": "g >= max(0, 2*f - 24*k)"
+}
diff --git a/research/fresh-stage-code-separation/SOURCES.json b/research/fresh-stage-code-separation/SOURCES.json
new file mode 100644
index 0000000000..289aea3b2e
--- /dev/null
+++ b/research/fresh-stage-code-separation/SOURCES.json
@@ -0,0 +1,137 @@
+{
+  "base": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+  "inputs": [
+    {
+      "path": "inputs/CODE.json",
+      "source_path": "research/coded-native-caller/CODE.json",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "8be7f3f073b7981ec91c6af43edff0ac8a89f4824ef6026ae758c287dd6c03d0",
+      "git_blob": "03170f4a31f7a8a3db7228f1cd5a6fdcb32720ae"
+    },
+    {
+      "path": "inputs/NORMALIZERS.json",
+      "source_path": "research/coded-native-caller/NORMALIZERS.json",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "ae8aad06aa5d1811d725895b3ab5a4f4daa9dcdd88294aa0d5f723e78bb1e0da",
+      "git_blob": "bca92c222c395d3d75c047fbb678f3cd0947c60f"
+    },
+    {
+      "path": "inputs/GAUGE.json",
+      "source_path": "research/coded-native-caller/GAUGE.json",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "e99bb62b7d63136204374c4469a243f02a338ddcd26603dd7e56688ffe0bb331",
+      "git_blob": "69877f15147153322451f72f7d8ba7879c2ff6be"
+    },
+    {
+      "path": "inputs/NOTICE",
+      "source_path": "research/coded-native-caller/NOTICE",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "317b1c5e040bab50ebfc3d0cdb3a47fc30e2f872a00895f563d7931749b1cc7b",
+      "git_blob": "985b6b1bc76dacd54a9cbe9897f3b659ae93c3a4"
+    },
+    {
+      "path": "inputs/TERMINAL.md",
+      "source_path": "research/coded-native-caller/TERMINAL.md",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "49e8f958e0a43f5d0b307dbef81c81076a55e83137563d7e620c608201d6dbcc",
+      "git_blob": "213a1726761224d6f705b90affc52b6600c95676"
+    },
+    {
+      "path": "inputs/GAUGE.md",
+      "source_path": "research/coded-native-caller/GAUGE.md",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "09c4e86d99245734761569efd13473623ffdd857e9eae092bd7f54bfd2f42f06",
+      "git_blob": "13269f7b1f98535151de173477f9e7d9a0d81079"
+    },
+    {
+      "path": "inputs/LICENSE",
+      "source_path": "research/coded-native-caller/LICENSE",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4",
+      "git_blob": "261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64"
+    },
+    {
+      "path": "inputs/ORIGINS.json",
+      "source_path": "research/coded-native-caller/ORIGINS.json",
+      "commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+      "sha256": "10cf47173ca238c32adb923daae7c1137c2e9c86c7066301d68fc74442b3f4d7",
+      "git_blob": "e18a033d4de1d997f55e84d1535fc6cde20424c4"
+    }
+  ],
+  "schema_version": 1,
+  "base_commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+  "files": [
+    {
+      "path": "research/coded-native-caller/CODE.json",
+      "usage": "provenance",
+      "git_blob": "03170f4a31f7a8a3db7228f1cd5a6fdcb32720ae",
+      "sha256": "8be7f3f073b7981ec91c6af43edff0ac8a89f4824ef6026ae758c287dd6c03d0"
+    },
+    {
+      "path": "research/coded-native-caller/NORMALIZERS.json",
+      "usage": "provenance",
+      "git_blob": "bca92c222c395d3d75c047fbb678f3cd0947c60f",
+      "sha256": "ae8aad06aa5d1811d725895b3ab5a4f4daa9dcdd88294aa0d5f723e78bb1e0da"
+    },
+    {
+      "path": "research/coded-native-caller/GAUGE.json",
+      "usage": "provenance",
+      "git_blob": "69877f15147153322451f72f7d8ba7879c2ff6be",
+      "sha256": "e99bb62b7d63136204374c4469a243f02a338ddcd26603dd7e56688ffe0bb331"
+    },
+    {
+      "path": "research/coded-native-caller/NOTICE",
+      "usage": "provenance",
+      "git_blob": "985b6b1bc76dacd54a9cbe9897f3b659ae93c3a4",
+      "sha256": "317b1c5e040bab50ebfc3d0cdb3a47fc30e2f872a00895f563d7931749b1cc7b"
+    },
+    {
+      "path": "research/coded-native-caller/TERMINAL.md",
+      "usage": "provenance",
+      "git_blob": "213a1726761224d6f705b90affc52b6600c95676",
+      "sha256": "49e8f958e0a43f5d0b307dbef81c81076a55e83137563d7e620c608201d6dbcc"
+    },
+    {
+      "path": "research/coded-native-caller/GAUGE.md",
+      "usage": "provenance",
+      "git_blob": "13269f7b1f98535151de173477f9e7d9a0d81079",
+      "sha256": "09c4e86d99245734761569efd13473623ffdd857e9eae092bd7f54bfd2f42f06"
+    },
+    {
+      "path": "research/coded-native-caller/LICENSE",
+      "usage": "provenance",
+      "git_blob": "261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64",
+      "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4"
+    },
+    {
+      "path": "research/coded-native-caller/ORIGINS.json",
+      "usage": "provenance",
+      "git_blob": "e18a033d4de1d997f55e84d1535fc6cde20424c4",
+      "sha256": "10cf47173ca238c32adb923daae7c1137c2e9c86c7066301d68fc74442b3f4d7"
+    },
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "b288ae44032fd84dd5564243422836cbcd29835e",
+      "sha256": "f9ed52bb642cd1e1486cf2743557ac5fa23cf1514a3277d786a644e39a565038"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602",
+      "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72"
+    },
+    {
+      "path": "research/two-stage-coded-terminal/PROOF.md",
+      "usage": "provenance",
+      "git_blob": "228baac8d81081e32995a3596e9a913924801d9a",
+      "sha256": "5a8d0b3f6179c6b5892d55638a6cb8d58ab0135224da07ac181b6edad4cf4e8e"
+    },
+    {
+      "path": "research/two-stage-coded-terminal/README.md",
+      "usage": "provenance",
+      "git_blob": "86e7af1c02878abd03e2287fa6c87f94d3371ef1",
+      "sha256": "1547a1b5fbb4b919fa90c6b2c3e476e51e52ca8f99c39a5f6a268757eced1365"
+    }
+  ]
+}
diff --git a/research/fresh-stage-code-separation/TASK.json b/research/fresh-stage-code-separation/TASK.json
new file mode 100644
index 0000000000..e72549b291
--- /dev/null
+++ b/research/fresh-stage-code-separation/TASK.json
@@ -0,0 +1,79 @@
+{
+  "schema_version": 1,
+  "task_id": "complex-rank-shape-decoder",
+  "priority_revision": 7,
+  "base_commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+  "original_card": {
+    "id": "complex-rank-shape-decoder",
+    "question": "Can a decoder deliver the local paid mass in fewer, larger-rank children (block frame climbs instead of rank-1 to rank-3 steps)?",
+    "starting_points": [
+      "docs/research/research-family-status.md",
+      "research/complex-local-word-ceiling/README.md",
+      "research/complex-decoder-field-extension-seed44/README.md",
+      "research/complex-frame-pair-decoders/README.md",
+      "research/selected-k8-unrestricted-ends/README.md",
+      "research/eisenstein-reduction-copy-floor/README.md"
+    ],
+    "methods": [
+      "Find one exact small decoding identity whose frame path climbs in blocks, and price its complete per-call profile.",
+      "Bound the best effective child rank achievable for one fixed support alphabet, including copies, frames and restoration."
+    ],
+    "acceptance_gate": "A per-call local profile, with all copied information, frames and restoration counted, whose ceiling exceeds the selected word's by at least 5%; masked or overcomplete supports must change an assumption of the eight-term all-pairs bound. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "research/complex-local-word-ceiling/verify.py"
+      ],
+      "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING",
+      "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.",
+      "scope": "Positive control and planning budget only; this is not a new construction or full cold replay."
+    },
+    "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin. Ideal budget: rank-16 delivery is 2.31x (levers.py).",
+    "bottleneck_link": "Rank-1 children are about half of recursive cost; the selected word's effective child rank is about 3.9. Larger-rank delivery lowers recursive cost per unit of paid mass.",
+    "allowed_variations": [
+      "One masked, overcomplete or block decoder family with exact labels and supports.",
+      "A scoped lower bound on effective rank for one alphabet.",
+      "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope."
+    ],
+    "scope_change_triggers": [
+      "Repacking idle remainders of an unchanged word (covered by the packing ceiling).",
+      "Repeating the eight-term all-pairs search inside its proved scope.",
+      "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.",
+      "Searching below C=40 in the #2017 Eisenstein binary scalar-rectangle or fixed-support block-linear additive pairing model; specify a changed premise instead. This bound does not cover every complex decoder.",
+      "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts."
+    ],
+    "overlap_terms": [
+      "rank shape",
+      "block climb",
+      "masked decoder",
+      "overcomplete",
+      "effective rank"
+    ]
+  },
+  "scope_status": "changed",
+  "actual_scope": "All-length path separation and terminal support for distinct fresh code stages with one shared binary axis; short certificates for all sixteen source negative banks.",
+  "scope_change_reason": "The user requested a further structural result after the complete-provider fusion obstruction. The released two-stage handoff leaves arbitrary-length code products open.",
+  "bottleneck_link": "A center-free invoice cannot credit the old Gaussian targets until its coded output banks have a charged decoder. This result closes fixed scalar/monomial postdecoding at all distinct-stage lengths and exhibits a two-shared-axis path collision.",
+  "budget_minutes": 240,
+  "stop_rule": "Complete the all-length proof and source-bound checks. Do not take over the active paid-history, coupled-helper caller or contact-frame searches.",
+  "outcome": "negative-result",
+  "evidence": "PROOF.md, RESULT.json, MARKERS.json, verify.py",
+  "author": "Ali Romman with substantial OpenAI Codex assistance",
+  "ai_assistance": "Substantial OpenAI Codex assistance. No subagents, independent human review or proof-kernel acceptance.",
+  "open_questions": [
+    {
+      "question": "Can a two-shared-axis native provider use the exhibited path cancellation for a complete paid saving?",
+      "why_it_matters": "The one-axis separation theorem no longer applies, and two actual scalar code paths now cancel.",
+      "first_step": "Complete the remaining owner normalizers and required producer identities for one two-stage pair, then count every extra central Gaussian and lost target.",
+      "blocked_by": "Only the two-path algebraic cancellation is constructed; no complete provider or favorable cost bound is known."
+    },
+    {
+      "question": "Can an already-paid decoder or a charged width-dependent scalar program complete the original coded endpoint?",
+      "why_it_matters": "The theorem excludes fixed ADD count but does not charge or exclude these resources.",
+      "first_step": "Bind one full negative bank to its actual available paid IDLE and replay all inputs, including the bank return.",
+      "blocked_by": "A complete chronological decoder and its full paid, scalar, storage and precision bill are absent. The active coupled-helper caller claim remains separate."
+    }
+  ],
+  "canonical_claim": "https://github.com/CrocSwap/integer-mult-bounds/discussions/4930#discussioncomment-19156145"
+}
diff --git a/research/fresh-stage-code-separation/VERIFY.json b/research/fresh-stage-code-separation/VERIFY.json
new file mode 100644
index 0000000000..4edbdc9eec
--- /dev/null
+++ b/research/fresh-stage-code-separation/VERIFY.json
@@ -0,0 +1,30 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 300,
+      "checks": "Source polynomial and signed maps; all two/three-stage paths; forward/reverse marker counts; sixteen actual banks; exact scope controls"
+    },
+    {
+      "argv": [
+        "{python}",
+        "-I",
+        "-O",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 300,
+      "checks": "The same exact evidence with Python assertions disabled"
+    }
+  ]
+}
diff --git a/research/fresh-stage-code-separation/inputs/CODE.json b/research/fresh-stage-code-separation/inputs/CODE.json
new file mode 100644
index 0000000000..8cc51b82cc
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/CODE.json
@@ -0,0 +1 @@
+{"A":[["0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","1/2","1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","1/2","1/2","1/2","0","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","-1/2","0","0","0","0","0","1/2","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","-1/2","0","0","0","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2","0","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["0","0","0","0","-1/2","0","0","0","0","0","1/2","0","1/2","1/2","0","1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","1/2","1/2","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","1/2","0","1/2","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","-1/2","1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","1/2","1/2","1/2","1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","1/2","1/2","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","1/2","0","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","0","0","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","1/2","1/2","1/2","0","1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","1/2","1/2","1/2","1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","0","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["-1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","1/2","1/2","0","0","0","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","-1/2","-1/2"],["-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","0","1/2","1/2","0","0","1/2","0","0","0","1/2","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","1/2","0"],["-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","1/2","0","0","0","1/2","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","0","0","1/2"],["-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","0","1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","1/2","1/2","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","1/2","1/2","1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","1/2","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","1/2","0","0","1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","1/2","0","0","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","1/2","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","0","1/2","1/2","-1/2","-1/2"],["-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","-1/2","0","1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","1/2","0","1/2","1/2","0"],["-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2"],["-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0"],["-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","0","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","-1/2","-1/2","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","1/2","1/2","1/2","1/2","1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","1/2","0","1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["1/2","1/2","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","1/2","1/2","0","0","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","1/2","0","0","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","1/2","1/2","0","1/2","1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","1/2"],["0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0"],["0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2"],["0","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","-1/2","1/2","0","1/2","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0"],["0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","-1/2","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2"],["0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0"],["0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2"],["0","0","0","1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","1/2","-1/2","0","0","-1/2","1/2","0","-1/2","0","0","-1/2","1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","0","1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2"],["0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","0","1/2","-1/2","0","1/2","-1/2","0"]]}
diff --git a/research/fresh-stage-code-separation/inputs/GAUGE.json b/research/fresh-stage-code-separation/inputs/GAUGE.json
new file mode 100644
index 0000000000..69877f1514
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/GAUGE.json
@@ -0,0 +1,4741 @@
+{
+  "chronology": {
+    "first_unmatched_bridge": {
+      "event_index": 51,
+      "from_pair": 7,
+      "left_word": [
+        [
+          15,
+          -1
+        ],
+        [
+          13,
+          -1
+        ],
+        [
+          11,
+          -1
+        ],
+        [
+          9,
+          -1
+        ],
+        [
+          7,
+          -1
+        ],
+        [
+          5,
+          -1
+        ],
+        [
+          3,
+          -1
+        ],
+        [
+          1,
+          -1
+        ],
+        [
+          0,
+          1
+        ]
+      ],
+      "right_word": [],
+      "to_pair": 8
+    },
+    "full_calls": 18,
+    "matched_prefix_bridges": [
+      0,
+      1,
+      2,
+      3,
+      4,
+      5,
+      6
+    ],
+    "paid_idles": 15,
+    "scope": "This records the candidate per-pair gauge policy; it does not prove that every whole-word policy fails.",
+    "source_sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f"
+  },
+  "complete_gaussian_supplier": false,
+  "complete_typed_rational_caller": true,
+  "idle": {
+    "missing_stage_rejected": true,
+    "mixed_orientations": true,
+    "stages": 4
+  },
+  "local": {
+    "backward": true,
+    "forward": true,
+    "noncommuting_controls": 3,
+    "wrong_word_controls": 2
+  },
+  "noncommutative_core": {
+    "both_scalar_boundaries": true,
+    "diagonal_words": [
+      [
+        18,
+        17
+      ],
+      [
+        18,
+        17,
+        16
+      ],
+      [
+        18,
+        17,
+        16,
+        15
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11,
+        10
+      ],
+      [
+        2,
+        1
+      ],
+      [
+        3,
+        2,
+        1
+      ],
+      [
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        8,
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11,
+        10,
+        9,
+        8,
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        18,
+        17
+      ],
+      [
+        18,
+        17,
+        16
+      ],
+      [
+        18,
+        17,
+        16,
+        15
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11,
+        10
+      ],
+      [
+        2,
+        1
+      ],
+      [
+        3,
+        2,
+        1
+      ],
+      [
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        8,
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ],
+      [
+        18,
+        17,
+        16,
+        15,
+        14,
+        13,
+        12,
+        11,
+        10,
+        9,
+        8,
+        7,
+        6,
+        5,
+        4,
+        3,
+        2,
+        1
+      ]
+    ],
+    "field_roles": 32,
+    "freely_noncommuting_stage_letters": 18,
+    "matrix_entries_checked": 1024,
+    "physical_events": 154,
+    "reversed_idle_rejected": true,
+    "scope": "Independent Q=1 binding of Dugongue frame-aware-native/noncommuting-controller, crediting Cinna Davis PR4470 and Ryanson Jonathan PR4516. Not a new core theorem; physical Q-dependent boundaries remain separate."
+  },
+  "schema": "coded-native-caller-gauge/v1",
+  "status": "PASS_NONCOMMUTATIVE_CONTROLLER_CORE_AND_GAUGE_IDENTITIES",
+  "typed_caller": {
+    "A_evaluations": 34,
+    "A_inverse_evaluations": 160,
+    "code_blocks": 66,
+    "code_evaluations": 194,
+    "code_field_monomial_passes": 43456,
+    "denominator_13_realization": "Required for inverse code; fixed-precision scalar closure remains explicit.",
+    "dense_code_add_bound_each": 6048,
+    "dense_code_add_bound_total": 1173312,
+    "emission": [
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ]
+        ],
+        "field": 1,
+        "op": "CODE"
+      },
+      {
+        "backward": false,
+        "op": "CENTER_FREE_FULL",
+        "pair": 0,
+        "stage": 0
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ]
+        ],
+        "field": 0,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            1,
+            -1
+          ]
+        ],
+        "field": 1,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 0,
+        "stage": 1
+      },
+      {
+        "execution_order": [
+          [
+            1,
+            -1
+          ]
+        ],
+        "field": 0,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ]
+        ],
+        "field": 3,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 1,
+        "stages": [
+          0,
+          1
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ]
+        ],
+        "field": 2,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          0,
+          2,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          3,
+          1,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          2,
+          0,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          0,
+          2,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          3,
+          1,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            3,
+            -1
+          ]
+        ],
+        "field": 3,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 1,
+        "stage": 3
+      },
+      {
+        "execution_order": [
+          [
+            3,
+            -1
+          ]
+        ],
+        "field": 2,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ]
+        ],
+        "field": 5,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 2,
+        "stages": [
+          0,
+          1,
+          3
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ]
+        ],
+        "field": 4,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          2,
+          4,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          5,
+          3,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          4,
+          1,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          2,
+          4,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          5,
+          3,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            5,
+            -1
+          ]
+        ],
+        "field": 5,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 2,
+        "stage": 5
+      },
+      {
+        "execution_order": [
+          [
+            5,
+            -1
+          ]
+        ],
+        "field": 4,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ]
+        ],
+        "field": 7,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 3,
+        "stages": [
+          0,
+          1,
+          3,
+          5
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ]
+        ],
+        "field": 6,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          4,
+          6,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          7,
+          5,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          6,
+          2,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          4,
+          6,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          7,
+          5,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            7,
+            -1
+          ]
+        ],
+        "field": 7,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 3,
+        "stage": 7
+      },
+      {
+        "execution_order": [
+          [
+            7,
+            -1
+          ]
+        ],
+        "field": 6,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ]
+        ],
+        "field": 9,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 4,
+        "stages": [
+          0,
+          1,
+          3,
+          5,
+          7
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ]
+        ],
+        "field": 8,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          6,
+          8,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          9,
+          7,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          8,
+          3,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          6,
+          8,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          9,
+          7,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            9,
+            -1
+          ]
+        ],
+        "field": 9,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 4,
+        "stage": 9
+      },
+      {
+        "execution_order": [
+          [
+            9,
+            -1
+          ]
+        ],
+        "field": 8,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ]
+        ],
+        "field": 11,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 5,
+        "stages": [
+          0,
+          1,
+          3,
+          5,
+          7,
+          9
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ]
+        ],
+        "field": 10,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          8,
+          10,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          11,
+          9,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          10,
+          4,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          8,
+          10,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          11,
+          9,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            11,
+            -1
+          ]
+        ],
+        "field": 11,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 5,
+        "stage": 11
+      },
+      {
+        "execution_order": [
+          [
+            11,
+            -1
+          ]
+        ],
+        "field": 10,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            11,
+            -1
+          ]
+        ],
+        "field": 13,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 6,
+        "stages": [
+          0,
+          1,
+          3,
+          5,
+          7,
+          9,
+          11
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            11,
+            -1
+          ]
+        ],
+        "field": 12,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          10,
+          12,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          13,
+          11,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          12,
+          5,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          10,
+          12,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          13,
+          11,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            13,
+            -1
+          ]
+        ],
+        "field": 13,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 6,
+        "stage": 13
+      },
+      {
+        "execution_order": [
+          [
+            13,
+            -1
+          ]
+        ],
+        "field": 12,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            13,
+            -1
+          ]
+        ],
+        "field": 15,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 7,
+        "stages": [
+          0,
+          1,
+          3,
+          5,
+          7,
+          9,
+          11,
+          13
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            0,
+            1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            13,
+            -1
+          ]
+        ],
+        "field": 14,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          12,
+          14,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          15,
+          13,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          14,
+          6,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          12,
+          14,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          15,
+          13,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            15,
+            -1
+          ]
+        ],
+        "field": 15,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 7,
+        "stage": 15
+      },
+      {
+        "execution_order": [
+          [
+            15,
+            -1
+          ]
+        ],
+        "field": 14,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          14,
+          16,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          17,
+          15,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          16,
+          7,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          14,
+          16,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          17,
+          15,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            17,
+            -1
+          ]
+        ],
+        "field": 17,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 8,
+        "stage": 17
+      },
+      {
+        "execution_order": [
+          [
+            17,
+            -1
+          ]
+        ],
+        "field": 16,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          16,
+          18,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          19,
+          17,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          18,
+          8,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          16,
+          18,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          19,
+          17,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            19,
+            -1
+          ]
+        ],
+        "field": 19,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 9,
+        "stage": 19
+      },
+      {
+        "execution_order": [
+          [
+            19,
+            -1
+          ]
+        ],
+        "field": 18,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          18,
+          20,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          21,
+          19,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          20,
+          9,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          18,
+          20,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          21,
+          19,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            21,
+            -1
+          ]
+        ],
+        "field": 21,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 10,
+        "stage": 21
+      },
+      {
+        "execution_order": [
+          [
+            21,
+            -1
+          ]
+        ],
+        "field": 20,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          20,
+          22,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          23,
+          21,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          22,
+          10,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          20,
+          22,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          23,
+          21,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            23,
+            -1
+          ]
+        ],
+        "field": 23,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 11,
+        "stage": 23
+      },
+      {
+        "execution_order": [
+          [
+            23,
+            -1
+          ]
+        ],
+        "field": 22,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          22,
+          24,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          25,
+          23,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          24,
+          11,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          22,
+          24,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          25,
+          23,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            25,
+            -1
+          ]
+        ],
+        "field": 25,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 12,
+        "stage": 25
+      },
+      {
+        "execution_order": [
+          [
+            25,
+            -1
+          ]
+        ],
+        "field": 24,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          24,
+          26,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          27,
+          25,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          26,
+          12,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          24,
+          26,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          27,
+          25,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            27,
+            -1
+          ]
+        ],
+        "field": 27,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 13,
+        "stage": 27
+      },
+      {
+        "execution_order": [
+          [
+            27,
+            -1
+          ]
+        ],
+        "field": 26,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          26,
+          28,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          29,
+          27,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          28,
+          13,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          26,
+          28,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          29,
+          27,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            29,
+            -1
+          ]
+        ],
+        "field": 29,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 14,
+        "stage": 29
+      },
+      {
+        "execution_order": [
+          [
+            29,
+            -1
+          ]
+        ],
+        "field": 28,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          28,
+          30,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          31,
+          29,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "QUERY_SHEAR",
+          30,
+          14,
+          false
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          28,
+          30,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          31,
+          29,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "execution_order": [
+          [
+            31,
+            -1
+          ]
+        ],
+        "field": 31,
+        "op": "CODE"
+      },
+      {
+        "backward": true,
+        "op": "CENTER_FREE_FULL",
+        "pair": 15,
+        "stage": 31
+      },
+      {
+        "execution_order": [
+          [
+            31,
+            -1
+          ]
+        ],
+        "field": 30,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 31,
+        "op": "CODE"
+      },
+      {
+        "backward": false,
+        "op": "CENTER_FREE_FULL",
+        "pair": 15,
+        "stage": 32
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 30,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            17,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 15,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 7,
+        "stages": [
+          17,
+          19,
+          21,
+          23,
+          25,
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            17,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 14,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            19,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 17,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 8,
+        "stages": [
+          19,
+          21,
+          23,
+          25,
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            19,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 16,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 19,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 9,
+        "stages": [
+          21,
+          23,
+          25,
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            21,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 18,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 21,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 10,
+        "stages": [
+          23,
+          25,
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            23,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 20,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 23,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 11,
+        "stages": [
+          25,
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            25,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 22,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 25,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 12,
+        "stages": [
+          27,
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            27,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 24,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 27,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 13,
+        "stages": [
+          29,
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            29,
+            -1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 26,
+        "op": "CODE"
+      },
+      {
+        "execution_order": [
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 29,
+        "op": "CODE"
+      },
+      {
+        "op": "PAID_IDLE",
+        "pair": 14,
+        "stages": [
+          31,
+          32
+        ]
+      },
+      {
+        "execution_order": [
+          [
+            31,
+            -1
+          ],
+          [
+            32,
+            1
+          ]
+        ],
+        "field": 28,
+        "op": "CODE"
+      },
+      {
+        "event": [
+          "ADD",
+          30,
+          28,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          29,
+          31,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          28,
+          26,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          27,
+          29,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          26,
+          24,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          25,
+          27,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          24,
+          22,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          23,
+          25,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          22,
+          20,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          21,
+          23,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          20,
+          18,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          19,
+          21,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          18,
+          16,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          17,
+          19,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          16,
+          14,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          15,
+          17,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          14,
+          12,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          13,
+          15,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          12,
+          10,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          11,
+          13,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          10,
+          8,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          9,
+          11,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          8,
+          6,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          7,
+          9,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          6,
+          4,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          5,
+          7,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          4,
+          2,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          3,
+          5,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          2,
+          0,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "ADD",
+          1,
+          3,
+          -1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          0,
+          1
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          2,
+          3
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          4,
+          5
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          6,
+          7
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          8,
+          9
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          10,
+          11
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          12,
+          13
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          14,
+          15
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          16,
+          17
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          18,
+          19
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          20,
+          21
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          22,
+          23
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          24,
+          25
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          26,
+          27
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          28,
+          29
+        ],
+        "op": "RETAINED_EVENT"
+      },
+      {
+        "event": [
+          "SIGNED_SWAP",
+          30,
+          31
+        ],
+        "op": "RETAINED_EVENT"
+      }
+    ],
+    "endpoint": [
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 0
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 1
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 2
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 3
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 4
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 5
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 6
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            17,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19,
+          17
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 7
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 8
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 9
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 10
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 11
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 12
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 13
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            13,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          13,
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 14
+      },
+      {
+        "central_exponent": -1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            17,
+            -1
+          ],
+          [
+            15,
+            -1
+          ],
+          [
+            13,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19,
+          17,
+          15,
+          13,
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "Q^-1 B D",
+        "plain_gaussian_after_free_postdecode": false,
+        "role": 15
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 16
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 17
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 18
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 19
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 20
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 21
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 22
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            17,
+            -1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19,
+          17
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 23
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 24
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 25
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 26
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 27
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 28
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 29
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            13,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          13,
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 30
+      },
+      {
+        "central_exponent": 1,
+        "code_word_left_to_right": [
+          [
+            32,
+            1
+          ],
+          [
+            31,
+            -1
+          ],
+          [
+            29,
+            -1
+          ],
+          [
+            27,
+            -1
+          ],
+          [
+            25,
+            -1
+          ],
+          [
+            23,
+            -1
+          ],
+          [
+            21,
+            -1
+          ],
+          [
+            19,
+            -1
+          ],
+          [
+            17,
+            -1
+          ],
+          [
+            15,
+            -1
+          ],
+          [
+            13,
+            -1
+          ],
+          [
+            11,
+            -1
+          ],
+          [
+            9,
+            -1
+          ],
+          [
+            7,
+            -1
+          ],
+          [
+            5,
+            -1
+          ],
+          [
+            3,
+            -1
+          ],
+          [
+            1,
+            -1
+          ],
+          [
+            0,
+            1
+          ]
+        ],
+        "gaussian_stages": [
+          32,
+          31,
+          29,
+          27,
+          25,
+          23,
+          21,
+          19,
+          17,
+          15,
+          13,
+          11,
+          9,
+          7,
+          5,
+          3,
+          1,
+          0
+        ],
+        "operator": "B D Q",
+        "plain_gaussian_after_free_postdecode": true,
+        "role": 31
+      }
+    ],
+    "factored_code_adds_each": 896,
+    "factored_code_adds_total": 173824,
+    "factored_code_clears_total": 3104,
+    "factored_code_owned_temporaries": 8,
+    "helper_reward_multiplicity": 18,
+    "independent_helper_inputs": 7344,
+    "independent_main_inputs": 3584,
+    "left_boundary_row_parities": [
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1
+    ],
+    "positive_half_postdecode": [
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 16
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 17
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 18
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 19
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ],
+          [
+            23,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 20
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ],
+          [
+            23,
+            1
+          ],
+          [
+            21,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 21
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ],
+          [
+            23,
+            1
+          ],
+          [
+            21,
+            1
+          ],
+          [
+            19,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 22
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ],
+          [
+            23,
+            1
+          ],
+          [
+            21,
+            1
+          ],
+          [
+            19,
+            1
+          ],
+          [
+            17,
+            1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 23
+      },
+      {
+        "execution_order": [
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 24
+      },
+      {
+        "execution_order": [
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 25
+      },
+      {
+        "execution_order": [
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 26
+      },
+      {
+        "execution_order": [
+          [
+            7,
+            1
+          ],
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 27
+      },
+      {
+        "execution_order": [
+          [
+            9,
+            1
+          ],
+          [
+            7,
+            1
+          ],
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 28
+      },
+      {
+        "execution_order": [
+          [
+            11,
+            1
+          ],
+          [
+            9,
+            1
+          ],
+          [
+            7,
+            1
+          ],
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 29
+      },
+      {
+        "execution_order": [
+          [
+            13,
+            1
+          ],
+          [
+            11,
+            1
+          ],
+          [
+            9,
+            1
+          ],
+          [
+            7,
+            1
+          ],
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 30
+      },
+      {
+        "execution_order": [
+          [
+            32,
+            -1
+          ],
+          [
+            31,
+            1
+          ],
+          [
+            29,
+            1
+          ],
+          [
+            27,
+            1
+          ],
+          [
+            25,
+            1
+          ],
+          [
+            23,
+            1
+          ],
+          [
+            21,
+            1
+          ],
+          [
+            19,
+            1
+          ],
+          [
+            17,
+            1
+          ],
+          [
+            15,
+            1
+          ],
+          [
+            13,
+            1
+          ],
+          [
+            11,
+            1
+          ],
+          [
+            9,
+            1
+          ],
+          [
+            7,
+            1
+          ],
+          [
+            5,
+            1
+          ],
+          [
+            3,
+            1
+          ],
+          [
+            1,
+            1
+          ],
+          [
+            0,
+            -1
+          ]
+        ],
+        "op": "OUTPUT_CODE_INVERSE",
+        "role": 31
+      }
+    ],
+    "positive_half_postdecode_adds": 86912,
+    "positive_half_postdecode_clears": 1552,
+    "positive_half_postdecode_evaluations": 97,
+    "positive_half_postdecode_monomial_passes": 21728,
+    "recursive_delta_vs_retained_caller": {
+      "rank_8": -144
+    },
+    "right_boundary_column_parities": [
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      0,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1,
+      1
+    ],
+    "shared_owned_code_temporaries": 112,
+    "status": "EXACT_TYPED_CODED_ENDPOINT_RECIPE_NOT_GAUSSIAN_SUPPLIER_ADMISSION"
+  }
+}
diff --git a/research/fresh-stage-code-separation/inputs/GAUGE.md b/research/fresh-stage-code-separation/inputs/GAUGE.md
new file mode 100644
index 0000000000..13269f7b1f
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/GAUGE.md
@@ -0,0 +1,77 @@
+# Deferred native code: exact local transport and the actual caller junction
+
+Apache-2.0. Substantial OpenAI Codex assistance. Credit PR4929's center-free code, Cao Yifan's native/controller sources, and the retained compiler and helper lineage.
+
+The physical wrapper construction in this package supplies a real monomial-conjugate code C_s of A=I-14 P at each FULL stage s, in the common central-line convention. Write Q for the central Gaussian, D_s for that stage's fresh rank-eight Gaussian, and R_s=D_s Q. The physical gate is
+
+    [C_s,R_s]=0.
+
+Different C_s need not commute each other or Q. Each C_s is supported on the central coordinate and its own fresh block; thus it commutes D_t when t differs from s. Phase-correct native normalizers, rather than the mere binary orthogonality of a route, are needed for these exact operator statements. The raw-dual backward convention uses the stated monomial Q^2 conjugation on X.
+
+Set H(B)=diag(B,Q^-1 B Q). If B involves only earlier code stages, then [B,D_s]=0. With F_s(C)=diag(D_s,D_s)L(CQ^-1) and B_s(C)=diag(D_s,D_s)U(-QC), direct block multiplication gives
+
+    diag(C_s,I) F_s(C_s) diag(I,C_s) H(B)
+      = H(C_s B) F_s(I),
+    diag(C_s^-1,I) B_s(C_s) diag(I,C_s^-1) H(B)
+      = H(C_s^-1 B) B_s(I).
+
+All newly exposed pre-Y and post-X codes are fixed nonrecursive owner/address circuits, with the explicit local bill in PHYSICAL.md. The inverse code has the explicit coefficient 13 denominator inherited from A^-1; that coefficient's allowed implementation and precision remain part of physical closure. There is no assumption that C_s commutes Q or B.
+
+For a chronological product B_S of codes whose distinct stages comprise an already-paid IDLE D_S, the same relations give
+
+    Q^-1 B_S Q = D_S B_S D_S^-1.
+
+Pre-Y B_S and post-X B_S therefore install H(B_S) around that paid IDLE. This reuses its actual Gaussian work; it does not add an unpriced IDLE.
+
+## Exact algebraic replay
+
+`gauge.py` implements the group algebra of a semidirect product. Q, every C_s and an independent previous-code B freely generate a free group. The commuting D_s act by the automorphisms C_s -> Q^-1 C_s Q while fixing Q, other C_t and B. A canonical reduced free word and an integer D-vector represent each monomial. Thus the replay is symbolic noncommutative algebra, not a numerical matrix sample or an assumption that tensor powers preserve sums.
+
+The checker compares every block of both displayed identities, a four-stage mixed-orientation IDLE, and controls that retain [C,Q], [B,Q] and [B,C] as nonzero. Reversed update order, the wrong backward exponent and an omitted IDLE stage are rejected. The written block argument establishes applicability to every operator representation satisfying the stated relations; the symbolic checker corroborates its transcription. This is not proof-kernel acceptance.
+
+## Initial per-pair proof attempt (superseded below)
+
+The retained main `research/joint-helper-lattice/CONTROLLER.json` has 18 FULL calls at stages 0,1,3,...,31,32 and 15 paidIDLEs. Its seven initial IDLEs are on pairs 1 through 7. Under the declared per-pair gauge policy, after the backward FULL at stage 2 j+1, pairj carries
+
+    W_j=C_(2 j+1)^-1 ... C_3^-1 C_1^-1 C_0.
+
+For j=0,...,6, the already-paid initial IDLE puts pair(j+1) in the same gauge, so the next bridge has matching gauges. At j=7, pair 7 carries W_7 while pair 8 still carries I: the source has deliberately omitted that initial IDLE. The exact chronology control records that first mismatch and its two symbolic words. Tail IDLEs and the full scalar boundary remain available resources, but the local identities do not establish their complete coded endpoint.
+
+The recorded mismatch is a stopping control for this particular forward per-pair policy. It is not a lower bound for all caller designs. In particular, a bidirectional gauge, a whole-word factorization or a separately paid junction could change the conclusion. Likewise, a terminal Q^-1 B Q gauge cannot simply be declared a free output code or an independent Gaussian target. A complete favorable caller must bind the actual terminal outputs and its whole invoice before using the supplier compiler or claiming a new kappa.
+
+## Open next questions
+
+Can the 16 explicit negative-Q coded output types be admitted with their 15 matched paid IDLE types, or converted to ordinary Gaussian targets for a favorable full bill? The complete coded word below makes that question concrete. The first step is a typed completion identity on one paid-IDLE/negative-output pair; a Gaussian supplier admission and new recursive saving remain unproved.
+
+## Independent binding of the predecessor noncommuting-stage identity
+
+Dugongue's existing `research/frame-aware-native/noncommuting-controller/PROOF.md` already proves the universal p16 identity for freely noncommuting stages and a central Q, crediting Cinna Davis / 1337 isnot 1337 #4470 and Ryanson Jonathan #4516. The present Q=I calculation is an independent binding/control for that predecessor theorem, not a new noncommuting-controller theorem. Its README and proof were read during this investigation.
+
+The retained controller has the following already established algebraic property. Set Q=I, replace every one of its 18 FULL-stage diagonals by a distinct freely noncommuting letter Z_s, and implement each already-paid IDLE as its chronological ordered product. Keep all 154 physical events and both actual 32-by-32 scalar boundary matrices. The resulting 32-by-32 operator matrix is exactly diagonal. Its i-th diagonal is the chronological ordered product of precisely the stages selected by the source's i-th target word.
+
+The checker proves this finite word identity by expanding all 1,024 entries over the free associative group algebra with rational coefficients. No commutative collection of stage letters is performed. Reversing the first two-stage IDLE is a semantic mutation that fails, although a commuting specialization could miss it. A separate exact 2-by-2 matrix experiment with noncommuting integer stages was used as a discovery check; the registered result is the stronger symbolic identity.
+
+This is directly useful for the coded caller constructed below. Under H=diag(I,Q), the modified local gauge identities turn the core into scalar L/U steps with decorated stage diagonals Z_s=C_s^epsilon D_s. The core identity therefore accommodates their noncommutativity. It removes one possible obstruction to the proposed construction. It does not remove H from the two physical scalar boundaries, implement those Q-dependent boundaries for free, or establish independent Gaussian terminal jobs. The positive complete-core identity and the unresolved physical entrance/exit interface are separate statements.
+
+## Complete typed coded caller, superseding the local junction concern
+
+The direct global proof avoids requiring a separate matching gauge on each pair. Define H=diag(I,Q) on every pair. For each FULL stage s, emit the nonrecursive pre-Y code C_s^epsilon, the center-free native FULL in its actual orientation, and the nonrecursive post-X code C_s^epsilon, with epsilon=+1 for forward and -1 for backward. The resulting block is
+
+    H^-1 diag(Z_s,Z_s) L(I) H       (forward),
+    H^-1 diag(Z_s,Z_s) U(-I) H      (backward),
+    Z_s=C_s^epsilon D_s.
+
+For each of the 15 actual paid IDLEs, emit its chronological code product on Y, its unchanged paid Gaussian IDLE, and the same chronological code product on X. Since each code commutes the other stages' Gaussian factors, the result is H^-1 diag(Z_word,Z_word) H. Each retained thin query similarly conjugates to its original scalar shear. Every internal ADD bridge preserves X/Y parity, so adjacent H factors cancel. No extra initial IDLE is inserted. The earlier pair 7/pair 8 mismatch therefore identifies only a limitation of the per-pair proof strategy; it does not obstruct this global construction.
+
+The global final signed swaps are retained. The actual left boundary has pure parity rows (first 16 even, last 16 odd); the right boundary has pure parity columns (first 16 even, last 16 odd). The checker binds all 64 of these facts. Moving H through those scalar boundaries and signed swaps gives the exact 32 main operator blocks
+
+    Q^-1 B_i D_i              for i=0,...,15,
+    B_i D_i Q                for i=16,...,31.
+
+Here D_i is the chronological product of the Gaussian stages selected by the authenticated original target, and B_i is the corresponding chronological product of C_s^epsilon. The ordered words are emitted explicitly in GAUGE.json. This proves a complete *typed coupled/coded endpoint* for 3584 independent main inputs, with all 7344 independent source helpers retained once. It is not the old Gaussian endpoint. The positive-Q half can be postdecoded by B_i^-1; the negative-Q half retains its specified code between the central operation and the remaining Gaussian product.
+
+GAUGE.json emits every retained event and every inserted code block. There are 66 inserted code blocks, comprising 194 individual code evaluations: 34 A and 160 A^-1. Each code is conjugated by 112 known monomial field maps in each direction, giving 43,456 field-monomial passes before any positive-output decoding. One conservative implementation of a dense code computes (A-I)x, or (A-I)x/13, in 112 owned temporary fields and then adds the result to x. The exact A-I support has 5,936 entries, so this uses at most 6,048 scalar ADDs per code, or 1,173,312 ADDs for the 194 evaluations. The 112 owned temporaries can be reused chronologically; each evaluation initializes and clears them. These counts exclude the separately retained native scalar work, monomial primitive lowering, optional positive-output decoding, routing/storage accounting and fixed-precision realization of denominator 13. They are explicit additional finite costs, not an outer-admission certificate.
+
+The recursive paid profile differs from the retained caller by precisely 144 rank-eight calls removed. Every original IDLE and thin query remains paid. The source helpers remain independent and productive once per FULL. A new numerical moment cannot count the 16 negative-Q coded outputs as the original Gaussian jobs. Their new job family, a changed compiler/completion theorem, or an actually paid endpoint adapter is the remaining integration question.
+
+The primary finite scalar realization is the already checked eight-mode program in NORMALIZERS: 896 ADDs, 224 field-monomial passes and 16 owned-CLEAR operations per C evaluation, with 8 reusable owned temporary fields. For the complete typed caller this gives 173,824 ADDs, 43,456 field-monomial passes and 3,104 CLEARs. The dense 112-temporary implementation above is an alternative upper bound, not the primary invoice. If the positive-Q half is explicitly postdecoded to ordinary Gaussian jobs, its 16 inverse code words contain 97 additional C evaluations: 86,912 ADDs, 21,728 monomial passes and 1,552 CLEARs. GAUGE.json emits those optional output decoding words and prices them separately. The typed caller alone has 3584 coded main outputs; after that priced postdecoding 1792 of them are autonomous Gaussian jobs, while 1792 retain the exact negative-Q code. The denominator 13 fixed-precision arithmetic realization remains an explicit assumption/obligation for both recipes.
diff --git a/research/fresh-stage-code-separation/inputs/LICENSE b/research/fresh-stage-code-separation/inputs/LICENSE
new file mode 100644
index 0000000000..261eeb9e9f
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/LICENSE
@@ -0,0 +1,201 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
diff --git a/research/fresh-stage-code-separation/inputs/NORMALIZERS.json b/research/fresh-stage-code-separation/inputs/NORMALIZERS.json
new file mode 100644
index 0000000000..bca92c222c
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/NORMALIZERS.json
@@ -0,0 +1,126 @@
+{
+  "clifford_sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962",
+  "code_sha256": "8be7f3f073b7981ec91c6af43edff0ac8a89f4824ef6026ae758c287dd6c03d0",
+  "finite_checks": {"absolute_phase_mutations_rejected":112,"exact_endpoint_factor_identities":896,"gaussian_free_compiled_wrappers":896,"monomial_wrappers":896,"omitted_phase_rejections":112,"ports":112,"scalar_basis_recodings":224,"weight_congruence_addresses":57344},
+  "local_gauge_bill": {"added_recursive_calls":0,"backward_extra_monomial_field_maps_upper":448,"main_wrapper_field_maps":448,"owned_fields_reused":8,"recoding_monomial_field_maps":448,"recoding_owned_clears":32,"recoding_scalar_adds":1792,"recodings":2},
+  "mode_columns": [[1,1,1,1,1,1,1,-1,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,-1,1,-1,1,1,1,0,1,1,1,1,1,1,-1,1,-1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1,1,0,0,0,0,1,-1,0,0,0,0,1,1,1,1,1,-1,-1,-1,0,0,0,0,0,0,0,-1,-1,-1,-1,1,0,0,0,0,0,0,-1,-1,-1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1,1,0,0,-1,1,1,1,0,-1,-1,0,0,0,0,1,-1,0,0,0,0,0,1,1,1,1,-1,1,1,1,0,0,0,0,0],[1,0,1,0,0,0,0,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1,0,0],[1,0,0,1,1,1,0,1,-1,0,0,0,0,1,1,1,-1,0,0,0,0,0,-1,-1,-1,0,-1,-1,0,0,0,0,1,1,1,-1,0,0,0,0,0,-1,-1,-1,-1,-1,0,0,1,1,1,1,1,1,0,0,0,-1,0,0,0,0,0,0,-1,-1,-1,1,1,1,0,0,0,0,0,0,-1,0,1,0,1,-1,0,0,0,1,0,1,1,0,0,0,1,0,0,-1,-1,-1,1,1,0,0,0,0,-1,-1,-1,-1,-1,-1,0,0],[0,1,1,0,1,1,-1,0,0,1,0,0,0,-1,0,0,1,0,-1,-1,1,1,0,0,-1,-1,0,0,-1,0,0,0,-1,0,0,1,-1,-1,0,1,1,0,0,-1,-1,-1,-1,-1,1,0,0,1,0,0,1,1,0,0,1,0,0,-1,0,0,1,1,0,0,-1,-1,0,0,-1,0,0,-1,0,0,1,-1,0,0,1,0,0,1,1,0,0,1,0,0,0,-1,1,0,-1,-1,-1,-1,0,-1,-1,0,1,0,0,1,0,0,1,1],[0,1,0,1,0,0,-1,0,-1,0,1,1,-1,0,-1,-1,0,-1,0,0,-1,-1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,-1,-1,1,0,0,-1,-1,0,0,-1,-1,-1,-1,0,0,0,1,1,0,0,1,0,-1,0,0,0,-1,-1,0,0,1,-1,0,0,-1,-1,0,0,0,1,0,1,0,0,-1,0,-1,0,0,1,1,0,1,0,1,1,0,-1,0,-1,0,0,-1,0,-1,0,0,-1,0,1,1,-1,0,0,-1,-1],[0,0,1,1,0,0,0,0,1,-1,0,0,1,1,0,0,1,-1,0,0,1,1,-1,-1,0,-1,-1,0,0,-1,-1,-1,0,-1,-1,0,1,1,1,0,0,0,0,1,-1,0,-1,-1,0,1,1,-1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,1,-1,0,0,0,0,1,-1,-1,0,0,-1,1,-1,1,0,0,1,1,0,0,0,-1,-1,0,0,0,0,1,-1,0,0,0,-1,-1,0,0,1,-1,0,0,0,1,1,-1,-1],[0,0,0,0,1,-1,0,0,0,0,-1,1,0,0,1,-1,0,0,-1,1,1,-1,-1,1,0,0,0,0,0,1,-1,0,0,1,-1,0,-1,1,0,1,-1,-1,1,0,0,0,1,-1,0,-1,1,0,-1,1,-1,1,0,0,0,-1,1,0,1,-1,-1,1,0,0,-1,1,-1,1,0,-1,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,-1,1,0,0,0,0,-1,1,0,0,0,-1,1,0,0,-1,1,0,-1,1,1,-1]],
+  "ports": [
+    {"G_rows":[11,13,14,7,16,32,64,128,256],"K_word":[["P",[11,13,14,7,16,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]]],"Z_mask":15,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,2,0,0,0,0,0],"matrix_rows":[13,11,14,1,16,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,2,0,0,0,0,0]],["P",[13,11,14,1,16,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[11,13,14,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[11,13,14,7,16,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[11,13,14,7,16,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[11,13,14,7,16,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,0,0,0,0],"matrix_rows":[11,12,14,6,16,32,64,128,256],"offset":500,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,0,0,0,0]],["P",[11,12,14,6,16,32,64,128,256]],["X",500],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,2,0,0,0,0,0],"matrix_rows":[13,11,14,1,16,32,64,128,256],"offset":11,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,2,0,0,0,0,0]],["P",[13,11,14,1,16,32,64,128,256]],["X",11],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[11,13,14,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[11,13,14,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[11,13,14,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[11,13,14,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,0,0,0,0],"matrix_rows":[11,12,14,6,16,32,64,128,256],"offset":10,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,0,0,0,0]],["P",[11,12,14,6,16,32,64,128,256]],["X",10],["phase",2]]}},"orthogonal_transvections":[5,15],"port":0,"q":11},
+    {"G_rows":[19,21,22,8,7,32,64,128,256],"K_word":[["P",[19,21,22,8,7,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]]],"Z_mask":23,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,2,0,0,0,0],"matrix_rows":[21,19,22,8,1,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,2,0,0,0,0]],["P",[21,19,22,8,1,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[19,21,22,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[19,21,22,8,7,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[19,21,22,8,7,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[19,21,22,8,7,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,0,0,0,0],"matrix_rows":[19,20,22,8,6,32,64,128,256],"offset":492,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,0,0,0,0]],["P",[19,20,22,8,6,32,64,128,256]],["X",492],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,2,0,0,0,0],"matrix_rows":[21,19,22,8,1,32,64,128,256],"offset":19,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,2,0,0,0,0]],["P",[21,19,22,8,1,32,64,128,256]],["X",19],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[19,21,22,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[19,21,22,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[19,21,22,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[19,21,22,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,0,0,0,0],"matrix_rows":[19,20,22,8,6,32,64,128,256],"offset":18,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,0,0,0,0]],["P",[19,20,22,8,6,32,64,128,256]],["X",18],["phase",2]]}},"orthogonal_transvections":[5,23],"port":1,"q":19},
+    {"G_rows":[35,37,38,8,16,7,64,128,256],"K_word":[["P",[35,37,38,8,16,7,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]]],"Z_mask":39,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,2,0,0,0],"matrix_rows":[37,35,38,8,16,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,2,0,0,0]],["P",[37,35,38,8,16,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[35,37,38,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[35,37,38,8,16,7,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[35,37,38,8,16,7,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[35,37,38,8,16,7,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,2,0,0,0],"matrix_rows":[35,36,38,8,16,6,64,128,256],"offset":476,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,2,0,0,0]],["P",[35,36,38,8,16,6,64,128,256]],["X",476],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,2,0,0,0],"matrix_rows":[37,35,38,8,16,1,64,128,256],"offset":35,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,2,0,0,0]],["P",[37,35,38,8,16,1,64,128,256]],["X",35],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[35,37,38,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[35,37,38,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[35,37,38,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[35,37,38,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,2,0,0,0],"matrix_rows":[35,36,38,8,16,6,64,128,256],"offset":34,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,2,0,0,0]],["P",[35,36,38,8,16,6,64,128,256]],["X",34],["phase",2]]}},"orthogonal_transvections":[5,39],"port":2,"q":35},
+    {"G_rows":[67,69,70,8,16,32,7,128,256],"K_word":[["P",[67,69,70,8,16,32,7,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]]],"Z_mask":71,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,2,0,0],"matrix_rows":[69,67,70,8,16,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,2,0,0]],["P",[69,67,70,8,16,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[67,69,70,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[67,69,70,8,16,32,7,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[67,69,70,8,16,32,7,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[67,69,70,8,16,32,7,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,2,0,0],"matrix_rows":[67,68,70,8,16,32,6,128,256],"offset":444,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,2,0,0]],["P",[67,68,70,8,16,32,6,128,256]],["X",444],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,2,0,0],"matrix_rows":[69,67,70,8,16,32,1,128,256],"offset":67,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,2,0,0]],["P",[69,67,70,8,16,32,1,128,256]],["X",67],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[67,69,70,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[67,69,70,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[67,69,70,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[67,69,70,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,2,0,0],"matrix_rows":[67,68,70,8,16,32,6,128,256],"offset":66,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,2,0,0]],["P",[67,68,70,8,16,32,6,128,256]],["X",66],["phase",2]]}},"orthogonal_transvections":[5,71],"port":3,"q":67},
+    {"G_rows":[131,133,134,8,16,32,64,7,256],"K_word":[["P",[131,133,134,8,16,32,64,7,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]]],"Z_mask":135,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,2,0],"matrix_rows":[133,131,134,8,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,2,0]],["P",[133,131,134,8,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[131,133,134,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[131,133,134,8,16,32,64,7,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[131,133,134,8,16,32,64,7,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[131,133,134,8,16,32,64,7,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,2,0],"matrix_rows":[131,132,134,8,16,32,64,6,256],"offset":380,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,2,0]],["P",[131,132,134,8,16,32,64,6,256]],["X",380],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,2,0],"matrix_rows":[133,131,134,8,16,32,64,1,256],"offset":131,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,2,0]],["P",[133,131,134,8,16,32,64,1,256]],["X",131],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[131,133,134,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[131,133,134,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[131,133,134,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[131,133,134,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,2,0],"matrix_rows":[131,132,134,8,16,32,64,6,256],"offset":130,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,2,0]],["P",[131,132,134,8,16,32,64,6,256]],["X",130],["phase",2]]}},"orthogonal_transvections":[5,135],"port":4,"q":131},
+    {"G_rows":[259,261,262,8,16,32,64,128,7],"K_word":[["P",[259,261,262,8,16,32,64,128,7]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]]],"Z_mask":263,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,0,2],"matrix_rows":[261,259,262,8,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,0,2]],["P",[261,259,262,8,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[259,261,262,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[259,261,262,8,16,32,64,128,7]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[259,261,262,8,16,32,64,128,7],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[259,261,262,8,16,32,64,128,7]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,0,2],"matrix_rows":[259,260,262,8,16,32,64,128,6],"offset":252,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,0,2]],["P",[259,260,262,8,16,32,64,128,6]],["X",252],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,0,2],"matrix_rows":[261,259,262,8,16,32,64,128,1],"offset":259,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,0,2]],["P",[261,259,262,8,16,32,64,128,1]],["X",259],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[259,261,262,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[259,261,262,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[259,261,262,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[259,261,262,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,0,2],"matrix_rows":[259,260,262,8,16,32,64,128,6],"offset":258,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,0,2]],["P",[259,260,262,8,16,32,64,128,6]],["X",258],["phase",2]]}},"orthogonal_transvections":[5,263],"port":5,"q":259},
+    {"G_rows":[13,14,11,7,16,32,64,128,256],"K_word":[["P",[13,14,11,7,16,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]]],"Z_mask":15,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,2,0,0,0,0,0],"matrix_rows":[11,14,13,1,16,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,2,0,0,0,0,0]],["P",[11,14,13,1,16,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[13,14,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,11,7,16,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[13,14,11,7,16,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,10,6,16,32,64,128,256],"offset":498,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,0,0,0,0]],["P",[13,14,10,6,16,32,64,128,256]],["X",498],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,2,0,0,0,0,0],"matrix_rows":[11,14,13,1,16,32,64,128,256],"offset":13,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,2,0,0,0,0,0]],["P",[11,14,13,1,16,32,64,128,256]],["X",13],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[13,14,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[13,14,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,0,0,0,0],"matrix_rows":[13,14,10,6,16,32,64,128,256],"offset":12,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,0,0,0,0]],["P",[13,14,10,6,16,32,64,128,256]],["X",12],["phase",2]]}},"orthogonal_transvections":[3,15],"port":6,"q":13},
+    {"G_rows":[21,22,19,8,7,32,64,128,256],"K_word":[["P",[21,22,19,8,7,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]]],"Z_mask":23,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,2,0,0,0,0],"matrix_rows":[19,22,21,8,1,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,2,0,0,0,0]],["P",[19,22,21,8,1,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[21,22,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,19,8,7,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[21,22,19,8,7,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,18,8,6,32,64,128,256],"offset":490,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,0,0,0,0]],["P",[21,22,18,8,6,32,64,128,256]],["X",490],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,2,0,0,0,0],"matrix_rows":[19,22,21,8,1,32,64,128,256],"offset":21,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,2,0,0,0,0]],["P",[19,22,21,8,1,32,64,128,256]],["X",21],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[21,22,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[21,22,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,0,0,0,0],"matrix_rows":[21,22,18,8,6,32,64,128,256],"offset":20,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,0,0,0,0]],["P",[21,22,18,8,6,32,64,128,256]],["X",20],["phase",2]]}},"orthogonal_transvections":[3,23],"port":7,"q":21},
+    {"G_rows":[37,38,35,8,16,7,64,128,256],"K_word":[["P",[37,38,35,8,16,7,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]]],"Z_mask":39,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,2,0,0,0],"matrix_rows":[35,38,37,8,16,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,2,0,0,0]],["P",[35,38,37,8,16,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[37,38,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,35,8,16,7,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[37,38,35,8,16,7,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,34,8,16,6,64,128,256],"offset":474,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,2,0,0,0]],["P",[37,38,34,8,16,6,64,128,256]],["X",474],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,2,0,0,0],"matrix_rows":[35,38,37,8,16,1,64,128,256],"offset":37,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,2,0,0,0]],["P",[35,38,37,8,16,1,64,128,256]],["X",37],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[37,38,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[37,38,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,2,0,0,0],"matrix_rows":[37,38,34,8,16,6,64,128,256],"offset":36,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,2,0,0,0]],["P",[37,38,34,8,16,6,64,128,256]],["X",36],["phase",2]]}},"orthogonal_transvections":[3,39],"port":8,"q":37},
+    {"G_rows":[69,70,67,8,16,32,7,128,256],"K_word":[["P",[69,70,67,8,16,32,7,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]]],"Z_mask":71,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,2,0,0],"matrix_rows":[67,70,69,8,16,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,2,0,0]],["P",[67,70,69,8,16,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[69,70,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,67,8,16,32,7,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[69,70,67,8,16,32,7,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,66,8,16,32,6,128,256],"offset":442,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,2,0,0]],["P",[69,70,66,8,16,32,6,128,256]],["X",442],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,2,0,0],"matrix_rows":[67,70,69,8,16,32,1,128,256],"offset":69,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,2,0,0]],["P",[67,70,69,8,16,32,1,128,256]],["X",69],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[69,70,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[69,70,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,2,0,0],"matrix_rows":[69,70,66,8,16,32,6,128,256],"offset":68,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,2,0,0]],["P",[69,70,66,8,16,32,6,128,256]],["X",68],["phase",2]]}},"orthogonal_transvections":[3,71],"port":9,"q":69},
+    {"G_rows":[133,134,131,8,16,32,64,7,256],"K_word":[["P",[133,134,131,8,16,32,64,7,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]]],"Z_mask":135,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,2,0],"matrix_rows":[131,134,133,8,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,2,0]],["P",[131,134,133,8,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[133,134,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,131,8,16,32,64,7,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[133,134,131,8,16,32,64,7,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,130,8,16,32,64,6,256],"offset":378,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,2,0]],["P",[133,134,130,8,16,32,64,6,256]],["X",378],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,2,0],"matrix_rows":[131,134,133,8,16,32,64,1,256],"offset":133,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,2,0]],["P",[131,134,133,8,16,32,64,1,256]],["X",133],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[133,134,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[133,134,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,2,0],"matrix_rows":[133,134,130,8,16,32,64,6,256],"offset":132,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,2,0]],["P",[133,134,130,8,16,32,64,6,256]],["X",132],["phase",2]]}},"orthogonal_transvections":[3,135],"port":10,"q":133},
+    {"G_rows":[261,262,259,8,16,32,64,128,7],"K_word":[["P",[261,262,259,8,16,32,64,128,7]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]]],"Z_mask":263,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,0,2],"matrix_rows":[259,262,261,8,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,0,2]],["P",[259,262,261,8,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[261,262,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,259,8,16,32,64,128,7],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[261,262,259,8,16,32,64,128,7]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,258,8,16,32,64,128,6],"offset":250,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,0,2]],["P",[261,262,258,8,16,32,64,128,6]],["X",250],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,0,2],"matrix_rows":[259,262,261,8,16,32,64,128,1],"offset":261,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,0,2]],["P",[259,262,261,8,16,32,64,128,1]],["X",261],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[261,262,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[261,262,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,0,0,0,0,2],"matrix_rows":[261,262,258,8,16,32,64,128,6],"offset":260,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,0,0,0,0,2]],["P",[261,262,258,8,16,32,64,128,6]],["X",260],["phase",2]]}},"orthogonal_transvections":[3,263],"port":11,"q":261},
+    {"G_rows":[41,42,4,35,16,11,64,128,256],"K_word":[["P",[41,42,4,35,16,11,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,2,0,0,0]]],"Z_mask":43,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,2,0,0,0],"matrix_rows":[35,42,4,41,16,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,2,0,0,0]],["P",[35,42,4,41,16,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,35,16,11,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,2,0,0,0]],["P",[41,42,4,35,16,11,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,35,16,11,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,2,0,0,0]],["P",[41,42,4,35,16,11,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,34,16,10,64,128,256],"offset":470,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,2,0,0,0]],["P",[41,42,4,34,16,10,64,128,256]],["X",470],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,2,0,0,0],"matrix_rows":[35,42,4,41,16,1,64,128,256],"offset":41,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,2,0,0,0]],["P",[35,42,4,41,16,1,64,128,256]],["X",41],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,35,16,11,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,2,0,0,0]],["P",[41,42,4,35,16,11,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,35,16,11,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,2,0,0,0]],["P",[41,42,4,35,16,11,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,2,0,0,0],"matrix_rows":[41,42,4,34,16,10,64,128,256],"offset":40,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,2,0,0,0]],["P",[41,42,4,34,16,10,64,128,256]],["X",40],["phase",2]]}},"orthogonal_transvections":[3,43],"port":12,"q":41},
+    {"G_rows":[73,74,4,67,16,32,11,128,256],"K_word":[["P",[73,74,4,67,16,32,11,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]]],"Z_mask":75,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,2,0,0],"matrix_rows":[67,74,4,73,16,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,2,0,0]],["P",[67,74,4,73,16,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[73,74,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,67,16,32,11,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[73,74,4,67,16,32,11,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,66,16,32,10,128,256],"offset":438,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,2,0,0]],["P",[73,74,4,66,16,32,10,128,256]],["X",438],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,2,0,0],"matrix_rows":[67,74,4,73,16,32,1,128,256],"offset":73,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,2,0,0]],["P",[67,74,4,73,16,32,1,128,256]],["X",73],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[73,74,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[73,74,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,2,0,0],"matrix_rows":[73,74,4,66,16,32,10,128,256],"offset":72,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,2,0,0]],["P",[73,74,4,66,16,32,10,128,256]],["X",72],["phase",2]]}},"orthogonal_transvections":[3,75],"port":13,"q":73},
+    {"G_rows":[137,138,4,131,16,32,64,11,256],"K_word":[["P",[137,138,4,131,16,32,64,11,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]]],"Z_mask":139,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,0,2,0],"matrix_rows":[131,138,4,137,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,0,2,0]],["P",[131,138,4,137,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[137,138,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,131,16,32,64,11,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[137,138,4,131,16,32,64,11,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,130,16,32,64,10,256],"offset":374,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,2,0]],["P",[137,138,4,130,16,32,64,10,256]],["X",374],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,0,2,0],"matrix_rows":[131,138,4,137,16,32,64,1,256],"offset":137,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,0,2,0]],["P",[131,138,4,137,16,32,64,1,256]],["X",137],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[137,138,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[137,138,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,0,2,0],"matrix_rows":[137,138,4,130,16,32,64,10,256],"offset":136,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,2,0]],["P",[137,138,4,130,16,32,64,10,256]],["X",136],["phase",2]]}},"orthogonal_transvections":[3,139],"port":14,"q":137},
+    {"G_rows":[265,266,4,259,16,32,64,128,11],"K_word":[["P",[265,266,4,259,16,32,64,128,11]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]]],"Z_mask":267,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,0,0,2],"matrix_rows":[259,266,4,265,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,0,0,2]],["P",[259,266,4,265,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[265,266,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,259,16,32,64,128,11],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[265,266,4,259,16,32,64,128,11]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,258,16,32,64,128,10],"offset":246,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,0,2]],["P",[265,266,4,258,16,32,64,128,10]],["X",246],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,0,0,2],"matrix_rows":[259,266,4,265,16,32,64,128,1],"offset":265,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,0,0,2]],["P",[259,266,4,265,16,32,64,128,1]],["X",265],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[265,266,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[265,266,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,2,0,0,0,0,2],"matrix_rows":[265,266,4,258,16,32,64,128,10],"offset":264,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,0,0,0,0,2]],["P",[265,266,4,258,16,32,64,128,10]],["X",264],["phase",2]]}},"orthogonal_transvections":[3,267],"port":15,"q":265},
+    {"G_rows":[49,50,4,8,35,19,64,128,256],"K_word":[["P",[49,50,4,8,35,19,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]]],"Z_mask":51,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,2,0,0,0],"matrix_rows":[35,50,4,8,49,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,2,0,0,0]],["P",[35,50,4,8,49,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,35,19,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,35,19,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,34,18,64,128,256],"offset":462,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,34,18,64,128,256]],["X",462],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,2,0,0,0],"matrix_rows":[35,50,4,8,49,1,64,128,256],"offset":49,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,2,0,0,0]],["P",[35,50,4,8,49,1,64,128,256]],["X",49],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,2,0,0,0],"matrix_rows":[49,50,4,8,34,18,64,128,256],"offset":48,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,2,0,0,0]],["P",[49,50,4,8,34,18,64,128,256]],["X",48],["phase",2]]}},"orthogonal_transvections":[3,51],"port":16,"q":49},
+    {"G_rows":[81,82,4,8,67,32,19,128,256],"K_word":[["P",[81,82,4,8,67,32,19,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,2,0,0]]],"Z_mask":83,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,0,2,0,0],"matrix_rows":[67,82,4,8,81,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,0,2,0,0]],["P",[67,82,4,8,81,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,67,32,19,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,67,32,19,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,67,32,19,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,67,32,19,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,66,32,18,128,256],"offset":430,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,66,32,18,128,256]],["X",430],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,0,2,0,0],"matrix_rows":[67,82,4,8,81,32,1,128,256],"offset":81,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,0,2,0,0]],["P",[67,82,4,8,81,32,1,128,256]],["X",81],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,67,32,19,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,67,32,19,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,67,32,19,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,67,32,19,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,2,0,0],"matrix_rows":[81,82,4,8,66,32,18,128,256],"offset":80,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,2,0,0]],["P",[81,82,4,8,66,32,18,128,256]],["X",80],["phase",2]]}},"orthogonal_transvections":[3,83],"port":17,"q":81},
+    {"G_rows":[145,146,4,8,131,32,64,19,256],"K_word":[["P",[145,146,4,8,131,32,64,19,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]]],"Z_mask":147,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,0,0,2,0],"matrix_rows":[131,146,4,8,145,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,0,0,2,0]],["P",[131,146,4,8,145,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,131,32,64,19,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,131,32,64,19,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,130,32,64,18,256],"offset":366,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,130,32,64,18,256]],["X",366],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,0,0,2,0],"matrix_rows":[131,146,4,8,145,32,64,1,256],"offset":145,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,0,0,2,0]],["P",[131,146,4,8,145,32,64,1,256]],["X",145],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,0,2,0],"matrix_rows":[145,146,4,8,130,32,64,18,256],"offset":144,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,2,0]],["P",[145,146,4,8,130,32,64,18,256]],["X",144],["phase",2]]}},"orthogonal_transvections":[3,147],"port":18,"q":145},
+    {"G_rows":[273,274,4,8,259,32,64,128,19],"K_word":[["P",[273,274,4,8,259,32,64,128,19]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]]],"Z_mask":275,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,0,0,0,2],"matrix_rows":[259,274,4,8,273,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,0,0,0,2]],["P",[259,274,4,8,273,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,259,32,64,128,19],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,259,32,64,128,19]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,258,32,64,128,18],"offset":238,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,258,32,64,128,18]],["X",238],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,0,0,0,2],"matrix_rows":[259,274,4,8,273,32,64,128,1],"offset":273,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,0,0,0,2]],["P",[259,274,4,8,273,32,64,128,1]],["X",273],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,2,0,0,0,2],"matrix_rows":[273,274,4,8,258,32,64,128,18],"offset":272,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,0,0,2]],["P",[273,274,4,8,258,32,64,128,18]],["X",272],["phase",2]]}},"orthogonal_transvections":[3,275],"port":19,"q":273},
+    {"G_rows":[161,162,4,8,16,131,64,35,256],"K_word":[["P",[161,162,4,8,16,131,64,35,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]]],"Z_mask":163,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,1,0,2,0],"matrix_rows":[131,162,4,8,16,161,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,1,0,0,0,1,0,2,0]],["P",[131,162,4,8,16,161,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,131,64,35,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,131,64,35,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,130,64,34,256],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,130,64,34,256]],["X",350],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,3,0,2,0],"matrix_rows":[131,162,4,8,16,161,64,1,256],"offset":161,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,3,0,0,0,3,0,2,0]],["P",[131,162,4,8,16,161,64,1,256]],["X",161],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,2,0,2,0],"matrix_rows":[161,162,4,8,16,130,64,34,256],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,2,0]],["P",[161,162,4,8,16,130,64,34,256]],["X",160],["phase",2]]}},"orthogonal_transvections":[3,163],"port":20,"q":161},
+    {"G_rows":[289,290,4,8,16,259,64,128,35],"K_word":[["P",[289,290,4,8,16,259,64,128,35]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]]],"Z_mask":291,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,1,0,0,2],"matrix_rows":[259,290,4,8,16,289,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,1,0,0,0,1,0,0,2]],["P",[259,290,4,8,16,289,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,259,64,128,35],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,259,64,128,35]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,258,64,128,34],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,258,64,128,34]],["X",222],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,3,0,0,2],"matrix_rows":[259,290,4,8,16,289,64,128,1],"offset":289,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,3,0,0,0,3,0,0,2]],["P",[259,290,4,8,16,289,64,128,1]],["X",289],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,2,0,0,2],"matrix_rows":[289,290,4,8,16,258,64,128,34],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,2,0,0,2]],["P",[289,290,4,8,16,258,64,128,34]],["X",288],["phase",2]]}},"orthogonal_transvections":[3,291],"port":21,"q":289},
+    {"G_rows":[193,194,4,8,16,32,131,67,256],"K_word":[["P",[193,194,4,8,16,32,131,67,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]]],"Z_mask":195,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,1,2,0],"matrix_rows":[131,194,4,8,16,32,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,1,0,0,0,0,1,2,0]],["P",[131,194,4,8,16,32,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,131,67,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,131,67,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,130,66,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,130,66,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,3,2,0],"matrix_rows":[131,194,4,8,16,32,193,1,256],"offset":193,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,3,0,0,0,0,3,2,0]],["P",[131,194,4,8,16,32,193,1,256]],["X",193],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,2,2,0],"matrix_rows":[193,194,4,8,16,32,130,66,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,2,0]],["P",[193,194,4,8,16,32,130,66,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[3,195],"port":22,"q":193},
+    {"G_rows":[321,322,4,8,16,32,259,128,67],"K_word":[["P",[321,322,4,8,16,32,259,128,67]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]]],"Z_mask":323,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,1,0,2],"matrix_rows":[259,322,4,8,16,32,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,1,0,0,0,0,1,0,2]],["P",[259,322,4,8,16,32,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,259,128,67],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,259,128,67]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,258,128,66],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,258,128,66]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,3,0,2],"matrix_rows":[259,322,4,8,16,32,321,128,1],"offset":321,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,3,0,0,0,0,3,0,2]],["P",[259,322,4,8,16,32,321,128,1]],["X",321],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,2,0,2],"matrix_rows":[321,322,4,8,16,32,258,128,66],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,2,0,2]],["P",[321,322,4,8,16,32,258,128,66]],["X",320],["phase",2]]}},"orthogonal_transvections":[3,323],"port":23,"q":321},
+    {"G_rows":[385,386,4,8,16,32,64,259,131],"K_word":[["P",[385,386,4,8,16,32,64,259,131]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]]],"Z_mask":387,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,0,1,2],"matrix_rows":[259,386,4,8,16,32,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,130,0,0,0,0,0,130,0]},"word":[["D",[0,130,0,0,0,0,0,130,0],[2,1,0,0,0,0,0,1,2]],["P",[259,386,4,8,16,32,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,259,131],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,259,131]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,258,130],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,258,130]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,0,3,2],"matrix_rows":[259,386,4,8,16,32,64,385,1],"offset":385,"phase":3,"quadratic_rows":[0,130,0,0,0,0,0,130,0]},"word":[["D",[0,130,0,0,0,0,0,130,0],[2,3,0,0,0,0,0,3,2]],["P",[259,386,4,8,16,32,64,385,1]],["X",385],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,0,0,0,0,2,2],"matrix_rows":[385,386,4,8,16,32,64,258,130],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,0,0,0,0,2,2]],["P",[385,386,4,8,16,32,64,258,130]],["X",384],["phase",2]]}},"orthogonal_transvections":[3,387],"port":24,"q":385},
+    {"G_rows":[14,13,11,7,16,32,64,128,256],"K_word":[["P",[14,13,11,7,16,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]]],"Z_mask":15,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,2,0,0,0,0,0],"matrix_rows":[14,11,13,1,16,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,2,0,0,0,0,0]],["P",[14,11,13,1,16,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[14,13,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[14,13,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[14,13,11,7,16,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[14,13,11,7,16,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,0],"matrix_rows":[14,13,9,5,16,32,64,128,256],"offset":498,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,0]],["P",[14,13,9,5,16,32,64,128,256]],["X",498],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,2,0,0,0,0,0],"matrix_rows":[14,11,13,1,16,32,64,128,256],"offset":14,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,2,0,0,0,0,0]],["P",[14,11,13,1,16,32,64,128,256]],["X",14],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[14,13,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[14,13,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,0,0,0,0],"matrix_rows":[14,13,11,7,16,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,0,0,0,0]],["P",[14,13,11,7,16,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,0],"matrix_rows":[14,13,9,5,16,32,64,128,256],"offset":12,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,0]],["P",[14,13,9,5,16,32,64,128,256]],["X",12],["phase",2]]}},"orthogonal_transvections":[15],"port":25,"q":14},
+    {"G_rows":[22,21,19,8,7,32,64,128,256],"K_word":[["P",[22,21,19,8,7,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]]],"Z_mask":23,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,2,0,0,0,0],"matrix_rows":[22,19,21,8,1,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,2,0,0,0,0]],["P",[22,19,21,8,1,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[22,21,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[22,21,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[22,21,19,8,7,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[22,21,19,8,7,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,0],"matrix_rows":[22,21,17,8,5,32,64,128,256],"offset":490,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,0]],["P",[22,21,17,8,5,32,64,128,256]],["X",490],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,2,0,0,0,0],"matrix_rows":[22,19,21,8,1,32,64,128,256],"offset":22,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,2,0,0,0,0]],["P",[22,19,21,8,1,32,64,128,256]],["X",22],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[22,21,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[22,21,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,0,0,0,0],"matrix_rows":[22,21,19,8,7,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,0,0,0,0]],["P",[22,21,19,8,7,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,0],"matrix_rows":[22,21,17,8,5,32,64,128,256],"offset":20,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,0]],["P",[22,21,17,8,5,32,64,128,256]],["X",20],["phase",2]]}},"orthogonal_transvections":[23],"port":26,"q":22},
+    {"G_rows":[38,37,35,8,16,7,64,128,256],"K_word":[["P",[38,37,35,8,16,7,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]]],"Z_mask":39,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,2,0,0,0],"matrix_rows":[38,35,37,8,16,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,2,0,0,0]],["P",[38,35,37,8,16,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[38,37,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[38,37,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[38,37,35,8,16,7,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[38,37,35,8,16,7,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,0],"matrix_rows":[38,37,33,8,16,5,64,128,256],"offset":474,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,0]],["P",[38,37,33,8,16,5,64,128,256]],["X",474],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,2,0,0,0],"matrix_rows":[38,35,37,8,16,1,64,128,256],"offset":38,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,2,0,0,0]],["P",[38,35,37,8,16,1,64,128,256]],["X",38],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[38,37,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[38,37,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,2,0,0,0],"matrix_rows":[38,37,35,8,16,7,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,2,0,0,0]],["P",[38,37,35,8,16,7,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,0],"matrix_rows":[38,37,33,8,16,5,64,128,256],"offset":36,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,0]],["P",[38,37,33,8,16,5,64,128,256]],["X",36],["phase",2]]}},"orthogonal_transvections":[39],"port":27,"q":38},
+    {"G_rows":[70,69,67,8,16,32,7,128,256],"K_word":[["P",[70,69,67,8,16,32,7,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]]],"Z_mask":71,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,2,0,0],"matrix_rows":[70,67,69,8,16,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,2,0,0]],["P",[70,67,69,8,16,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[70,69,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[70,69,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[70,69,67,8,16,32,7,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[70,69,67,8,16,32,7,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,0],"matrix_rows":[70,69,65,8,16,32,5,128,256],"offset":442,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,0]],["P",[70,69,65,8,16,32,5,128,256]],["X",442],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,2,0,0],"matrix_rows":[70,67,69,8,16,32,1,128,256],"offset":70,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,2,0,0]],["P",[70,67,69,8,16,32,1,128,256]],["X",70],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[70,69,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[70,69,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,2,0,0],"matrix_rows":[70,69,67,8,16,32,7,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,2,0,0]],["P",[70,69,67,8,16,32,7,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,0],"matrix_rows":[70,69,65,8,16,32,5,128,256],"offset":68,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,0]],["P",[70,69,65,8,16,32,5,128,256]],["X",68],["phase",2]]}},"orthogonal_transvections":[71],"port":28,"q":70},
+    {"G_rows":[134,133,131,8,16,32,64,7,256],"K_word":[["P",[134,133,131,8,16,32,64,7,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]]],"Z_mask":135,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,2,0],"matrix_rows":[134,131,133,8,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,2,0]],["P",[134,131,133,8,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[134,133,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[134,133,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[134,133,131,8,16,32,64,7,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[134,133,131,8,16,32,64,7,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,0],"matrix_rows":[134,133,129,8,16,32,64,5,256],"offset":378,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,0]],["P",[134,133,129,8,16,32,64,5,256]],["X",378],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,2,0],"matrix_rows":[134,131,133,8,16,32,64,1,256],"offset":134,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,2,0]],["P",[134,131,133,8,16,32,64,1,256]],["X",134],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[134,133,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[134,133,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,2,0],"matrix_rows":[134,133,131,8,16,32,64,7,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,2,0]],["P",[134,133,131,8,16,32,64,7,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,0],"matrix_rows":[134,133,129,8,16,32,64,5,256],"offset":132,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,0]],["P",[134,133,129,8,16,32,64,5,256]],["X",132],["phase",2]]}},"orthogonal_transvections":[135],"port":29,"q":134},
+    {"G_rows":[262,261,259,8,16,32,64,128,7],"K_word":[["P",[262,261,259,8,16,32,64,128,7]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]]],"Z_mask":263,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,0,0,0,0,2],"matrix_rows":[262,259,261,8,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,1,1,0,0,0,0,0,2]],["P",[262,259,261,8,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[262,261,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[262,261,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[262,261,259,8,16,32,64,128,7],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[262,261,259,8,16,32,64,128,7]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,0,2],"matrix_rows":[262,261,257,8,16,32,64,128,5],"offset":250,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,2]],["P",[262,261,257,8,16,32,64,128,5]],["X",250],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,0,0,0,0,2],"matrix_rows":[262,259,261,8,16,32,64,128,1],"offset":262,"phase":3,"quadratic_rows":[0,6,6,0,0,0,0,0,0]},"word":[["D",[0,6,6,0,0,0,0,0,0],[2,3,3,0,0,0,0,0,2]],["P",[262,259,261,8,16,32,64,128,1]],["X",262],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[262,261,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[262,261,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,0,0,0,0,2],"matrix_rows":[262,261,259,8,16,32,64,128,7],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,0,0,0,0,2]],["P",[262,261,259,8,16,32,64,128,7]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,0,2],"matrix_rows":[262,261,257,8,16,32,64,128,5],"offset":260,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,0,2]],["P",[262,261,257,8,16,32,64,128,5]],["X",260],["phase",2]]}},"orthogonal_transvections":[263],"port":30,"q":262},
+    {"G_rows":[26,25,4,19,11,32,64,128,256],"K_word":[["P",[26,25,4,19,11,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,0,0,0,0]]],"Z_mask":27,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,2,0,0,0,0],"matrix_rows":[26,19,4,25,1,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,2,0,0,0,0]],["P",[26,19,4,25,1,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,19,11,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,0,0,0,0]],["P",[26,25,4,19,11,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,19,11,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,0,0,0,0]],["P",[26,25,4,19,11,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,17,9,32,64,128,256],"offset":486,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,0]],["P",[26,25,4,17,9,32,64,128,256]],["X",486],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,2,0,0,0,0],"matrix_rows":[26,19,4,25,1,32,64,128,256],"offset":26,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,2,0,0,0,0]],["P",[26,19,4,25,1,32,64,128,256]],["X",26],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,19,11,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,0,0,0,0]],["P",[26,25,4,19,11,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,19,11,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,0,0,0,0]],["P",[26,25,4,19,11,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,0],"matrix_rows":[26,25,4,17,9,32,64,128,256],"offset":24,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,0]],["P",[26,25,4,17,9,32,64,128,256]],["X",24],["phase",2]]}},"orthogonal_transvections":[27],"port":31,"q":26},
+    {"G_rows":[74,73,4,67,16,32,11,128,256],"K_word":[["P",[74,73,4,67,16,32,11,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]]],"Z_mask":75,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,2,0,0],"matrix_rows":[74,67,4,73,16,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,2,0,0]],["P",[74,67,4,73,16,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[74,73,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,67,16,32,11,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[74,73,4,67,16,32,11,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,65,16,32,9,128,256],"offset":438,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,0]],["P",[74,73,4,65,16,32,9,128,256]],["X",438],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,2,0,0],"matrix_rows":[74,67,4,73,16,32,1,128,256],"offset":74,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,2,0,0]],["P",[74,67,4,73,16,32,1,128,256]],["X",74],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[74,73,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,67,16,32,11,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,2,0,0]],["P",[74,73,4,67,16,32,11,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,0],"matrix_rows":[74,73,4,65,16,32,9,128,256],"offset":72,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,0]],["P",[74,73,4,65,16,32,9,128,256]],["X",72],["phase",2]]}},"orthogonal_transvections":[75],"port":32,"q":74},
+    {"G_rows":[138,137,4,131,16,32,64,11,256],"K_word":[["P",[138,137,4,131,16,32,64,11,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]]],"Z_mask":139,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,0,2,0],"matrix_rows":[138,131,4,137,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,0,2,0]],["P",[138,131,4,137,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[138,137,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,131,16,32,64,11,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[138,137,4,131,16,32,64,11,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,129,16,32,64,9,256],"offset":374,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0]],["P",[138,137,4,129,16,32,64,9,256]],["X",374],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,0,2,0],"matrix_rows":[138,131,4,137,16,32,64,1,256],"offset":138,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,0,2,0]],["P",[138,131,4,137,16,32,64,1,256]],["X",138],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[138,137,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,131,16,32,64,11,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,2,0]],["P",[138,137,4,131,16,32,64,11,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,0],"matrix_rows":[138,137,4,129,16,32,64,9,256],"offset":136,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0]],["P",[138,137,4,129,16,32,64,9,256]],["X",136],["phase",2]]}},"orthogonal_transvections":[139],"port":33,"q":138},
+    {"G_rows":[266,265,4,259,16,32,64,128,11],"K_word":[["P",[266,265,4,259,16,32,64,128,11]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]]],"Z_mask":267,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,0,0,0,0,2],"matrix_rows":[266,259,4,265,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,1,0,1,0,0,0,0,2]],["P",[266,259,4,265,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[266,265,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,259,16,32,64,128,11],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[266,265,4,259,16,32,64,128,11]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,257,16,32,64,128,9],"offset":246,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,2]],["P",[266,265,4,257,16,32,64,128,9]],["X",246],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,0,0,0,0,2],"matrix_rows":[266,259,4,265,16,32,64,128,1],"offset":266,"phase":3,"quadratic_rows":[0,10,0,10,0,0,0,0,0]},"word":[["D",[0,10,0,10,0,0,0,0,0],[2,3,0,3,0,0,0,0,2]],["P",[266,259,4,265,16,32,64,128,1]],["X",266],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[266,265,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,259,16,32,64,128,11],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,0,0,0,0,2]],["P",[266,265,4,259,16,32,64,128,11]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,0,2],"matrix_rows":[266,265,4,257,16,32,64,128,9],"offset":264,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,2]],["P",[266,265,4,257,16,32,64,128,9]],["X",264],["phase",2]]}},"orthogonal_transvections":[267],"port":34,"q":266},
+    {"G_rows":[50,49,4,8,35,19,64,128,256],"K_word":[["P",[50,49,4,8,35,19,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]]],"Z_mask":51,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,2,0,0,0],"matrix_rows":[50,35,4,8,49,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,2,0,0,0]],["P",[50,35,4,8,49,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[50,49,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,35,19,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[50,49,4,8,35,19,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,33,17,64,128,256],"offset":462,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,0]],["P",[50,49,4,8,33,17,64,128,256]],["X",462],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,2,0,0,0],"matrix_rows":[50,35,4,8,49,1,64,128,256],"offset":50,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,2,0,0,0]],["P",[50,35,4,8,49,1,64,128,256]],["X",50],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[50,49,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,35,19,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,2,0,0,0]],["P",[50,49,4,8,35,19,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,0],"matrix_rows":[50,49,4,8,33,17,64,128,256],"offset":48,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,0]],["P",[50,49,4,8,33,17,64,128,256]],["X",48],["phase",2]]}},"orthogonal_transvections":[51],"port":35,"q":50},
+    {"G_rows":[146,145,4,8,131,32,64,19,256],"K_word":[["P",[146,145,4,8,131,32,64,19,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]]],"Z_mask":147,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,0,0,2,0],"matrix_rows":[146,131,4,8,145,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,0,0,2,0]],["P",[146,131,4,8,145,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[146,145,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,131,32,64,19,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[146,145,4,8,131,32,64,19,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,129,32,64,17,256],"offset":366,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[146,145,4,8,129,32,64,17,256]],["X",366],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,0,0,2,0],"matrix_rows":[146,131,4,8,145,32,64,1,256],"offset":146,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,0,0,2,0]],["P",[146,131,4,8,145,32,64,1,256]],["X",146],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[146,145,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,131,32,64,19,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,2,0]],["P",[146,145,4,8,131,32,64,19,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[146,145,4,8,129,32,64,17,256],"offset":144,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[146,145,4,8,129,32,64,17,256]],["X",144],["phase",2]]}},"orthogonal_transvections":[147],"port":36,"q":146},
+    {"G_rows":[274,273,4,8,259,32,64,128,19],"K_word":[["P",[274,273,4,8,259,32,64,128,19]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]]],"Z_mask":275,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,1,0,0,0,2],"matrix_rows":[274,259,4,8,273,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,1,0,0,1,0,0,0,2]],["P",[274,259,4,8,273,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[274,273,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,259,32,64,128,19],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[274,273,4,8,259,32,64,128,19]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,257,32,64,128,17],"offset":238,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[274,273,4,8,257,32,64,128,17]],["X",238],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,3,0,0,0,2],"matrix_rows":[274,259,4,8,273,32,64,128,1],"offset":274,"phase":3,"quadratic_rows":[0,18,0,0,18,0,0,0,0]},"word":[["D",[0,18,0,0,18,0,0,0,0],[2,3,0,0,3,0,0,0,2]],["P",[274,259,4,8,273,32,64,128,1]],["X",274],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[274,273,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,259,32,64,128,19],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,2,0,0,0,2]],["P",[274,273,4,8,259,32,64,128,19]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[274,273,4,8,257,32,64,128,17],"offset":272,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[274,273,4,8,257,32,64,128,17]],["X",272],["phase",2]]}},"orthogonal_transvections":[275],"port":37,"q":274},
+    {"G_rows":[98,97,4,8,16,67,35,128,256],"K_word":[["P",[98,97,4,8,16,67,35,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,2,0,0]]],"Z_mask":99,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,1,2,0,0],"matrix_rows":[98,67,4,8,16,97,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,1,0,0,0,1,2,0,0]],["P",[98,67,4,8,16,97,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,67,35,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,67,35,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,67,35,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,67,35,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,65,33,128,256],"offset":414,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,65,33,128,256]],["X",414],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,3,2,0,0],"matrix_rows":[98,67,4,8,16,97,1,128,256],"offset":98,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,3,0,0,0,3,2,0,0]],["P",[98,67,4,8,16,97,1,128,256]],["X",98],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,67,35,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,67,35,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,67,35,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,67,35,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[98,97,4,8,16,65,33,128,256],"offset":96,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[98,97,4,8,16,65,33,128,256]],["X",96],["phase",2]]}},"orthogonal_transvections":[99],"port":38,"q":98},
+    {"G_rows":[162,161,4,8,16,131,64,35,256],"K_word":[["P",[162,161,4,8,16,131,64,35,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]]],"Z_mask":163,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,1,0,2,0],"matrix_rows":[162,131,4,8,16,161,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,1,0,0,0,1,0,2,0]],["P",[162,131,4,8,16,161,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,131,64,35,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,131,64,35,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,129,64,33,256],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,129,64,33,256]],["X",350],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,3,0,2,0],"matrix_rows":[162,131,4,8,16,161,64,1,256],"offset":162,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,3,0,0,0,3,0,2,0]],["P",[162,131,4,8,16,161,64,1,256]],["X",162],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,131,64,35,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,131,64,35,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[162,161,4,8,16,129,64,33,256],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[162,161,4,8,16,129,64,33,256]],["X",160],["phase",2]]}},"orthogonal_transvections":[163],"port":39,"q":162},
+    {"G_rows":[290,289,4,8,16,259,64,128,35],"K_word":[["P",[290,289,4,8,16,259,64,128,35]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]]],"Z_mask":291,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,1,0,0,2],"matrix_rows":[290,259,4,8,16,289,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,1,0,0,0,1,0,0,2]],["P",[290,259,4,8,16,289,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,259,64,128,35],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,259,64,128,35]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,257,64,128,33],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,257,64,128,33]],["X",222],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,3,0,0,2],"matrix_rows":[290,259,4,8,16,289,64,128,1],"offset":290,"phase":3,"quadratic_rows":[0,34,0,0,0,34,0,0,0]},"word":[["D",[0,34,0,0,0,34,0,0,0],[2,3,0,0,0,3,0,0,2]],["P",[290,259,4,8,16,289,64,128,1]],["X",290],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,259,64,128,35],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,259,64,128,35]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[290,289,4,8,16,257,64,128,33],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[290,289,4,8,16,257,64,128,33]],["X",288],["phase",2]]}},"orthogonal_transvections":[291],"port":40,"q":290},
+    {"G_rows":[194,193,4,8,16,32,131,67,256],"K_word":[["P",[194,193,4,8,16,32,131,67,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]]],"Z_mask":195,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,1,2,0],"matrix_rows":[194,131,4,8,16,32,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,1,0,0,0,0,1,2,0]],["P",[194,131,4,8,16,32,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,131,67,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,131,67,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,129,65,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,129,65,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,3,2,0],"matrix_rows":[194,131,4,8,16,32,193,1,256],"offset":194,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,3,0,0,0,0,3,2,0]],["P",[194,131,4,8,16,32,193,1,256]],["X",194],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,131,67,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,131,67,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[194,193,4,8,16,32,129,65,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[194,193,4,8,16,32,129,65,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[195],"port":41,"q":194},
+    {"G_rows":[322,321,4,8,16,32,259,128,67],"K_word":[["P",[322,321,4,8,16,32,259,128,67]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]]],"Z_mask":323,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,1,0,2],"matrix_rows":[322,259,4,8,16,32,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,1,0,0,0,0,1,0,2]],["P",[322,259,4,8,16,32,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,259,128,67],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,259,128,67]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,257,128,65],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,257,128,65]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,3,0,2],"matrix_rows":[322,259,4,8,16,32,321,128,1],"offset":322,"phase":3,"quadratic_rows":[0,66,0,0,0,0,66,0,0]},"word":[["D",[0,66,0,0,0,0,66,0,0],[2,3,0,0,0,0,3,0,2]],["P",[322,259,4,8,16,32,321,128,1]],["X",322],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,259,128,67],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,259,128,67]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[322,321,4,8,16,32,257,128,65],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[322,321,4,8,16,32,257,128,65]],["X",320],["phase",2]]}},"orthogonal_transvections":[323],"port":42,"q":322},
+    {"G_rows":[386,385,4,8,16,32,64,259,131],"K_word":[["P",[386,385,4,8,16,32,64,259,131]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]]],"Z_mask":387,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,0,0,0,0,1,2],"matrix_rows":[386,259,4,8,16,32,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,130,0,0,0,0,0,130,0]},"word":[["D",[0,130,0,0,0,0,0,130,0],[2,1,0,0,0,0,0,1,2]],["P",[386,259,4,8,16,32,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,259,131],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,259,131]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,0,0,0,0,3,2],"matrix_rows":[386,259,4,8,16,32,64,385,1],"offset":386,"phase":3,"quadratic_rows":[0,130,0,0,0,0,0,130,0]},"word":[["D",[0,130,0,0,0,0,0,130,0],[2,3,0,0,0,0,0,3,2]],["P",[386,259,4,8,16,32,64,385,1]],["X",386],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,259,131],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,259,131]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[386,385,4,8,16,32,64,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[386,385,4,8,16,32,64,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[387],"port":43,"q":386},
+    {"G_rows":[28,2,25,21,13,32,64,128,256],"K_word":[["P",[28,2,25,21,13,32,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,0,0,0]]],"Z_mask":29,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,1,2,0,0,0,0],"matrix_rows":[28,2,21,25,1,32,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,1,1,2,0,0,0,0]],["P",[28,2,21,25,1,32,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,0,0,0,0],"matrix_rows":[28,2,25,21,13,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,0,0,0]],["P",[28,2,25,21,13,32,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,2,2,0,0,0,0],"matrix_rows":[28,2,25,21,13,32,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,0,0,0]],["P",[28,2,25,21,13,32,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,0],"matrix_rows":[28,2,25,17,9,32,64,128,256],"offset":486,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,0]],["P",[28,2,25,17,9,32,64,128,256]],["X",486],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,3,2,0,0,0,0],"matrix_rows":[28,2,21,25,1,32,64,128,256],"offset":28,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,3,3,2,0,0,0,0]],["P",[28,2,21,25,1,32,64,128,256]],["X",28],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,0,0,0,0],"matrix_rows":[28,2,25,21,13,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,0,0,0]],["P",[28,2,25,21,13,32,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,2,2,0,0,0,0],"matrix_rows":[28,2,25,21,13,32,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,0,0,0]],["P",[28,2,25,21,13,32,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,0],"matrix_rows":[28,2,25,17,9,32,64,128,256],"offset":24,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,0]],["P",[28,2,25,17,9,32,64,128,256]],["X",24],["phase",2]]}},"orthogonal_transvections":[29],"port":44,"q":28},
+    {"G_rows":[44,2,41,37,16,13,64,128,256],"K_word":[["P",[44,2,41,37,16,13,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,0,0,0]]],"Z_mask":45,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,1,0,2,0,0,0],"matrix_rows":[44,2,37,41,16,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,1,1,0,2,0,0,0]],["P",[44,2,37,41,16,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,2,0,0,0],"matrix_rows":[44,2,41,37,16,13,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,0,0,0]],["P",[44,2,41,37,16,13,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,2,0,0,0],"matrix_rows":[44,2,41,37,16,13,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,0,0,0]],["P",[44,2,41,37,16,13,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,0],"matrix_rows":[44,2,41,33,16,9,64,128,256],"offset":470,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0]],["P",[44,2,41,33,16,9,64,128,256]],["X",470],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,3,0,2,0,0,0],"matrix_rows":[44,2,37,41,16,1,64,128,256],"offset":44,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,3,3,0,2,0,0,0]],["P",[44,2,37,41,16,1,64,128,256]],["X",44],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,2,0,0,0],"matrix_rows":[44,2,41,37,16,13,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,0,0,0]],["P",[44,2,41,37,16,13,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,2,0,0,0],"matrix_rows":[44,2,41,37,16,13,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,0,0,0]],["P",[44,2,41,37,16,13,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,0],"matrix_rows":[44,2,41,33,16,9,64,128,256],"offset":40,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,0]],["P",[44,2,41,33,16,9,64,128,256]],["X",40],["phase",2]]}},"orthogonal_transvections":[45],"port":45,"q":44},
+    {"G_rows":[140,2,137,133,16,32,64,13,256],"K_word":[["P",[140,2,137,133,16,32,64,13,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,2,0]]],"Z_mask":141,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,1,0,0,0,2,0],"matrix_rows":[140,2,133,137,16,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,1,1,0,0,0,2,0]],["P",[140,2,133,137,16,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,2,0],"matrix_rows":[140,2,137,133,16,32,64,13,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,2,0]],["P",[140,2,137,133,16,32,64,13,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,2,0],"matrix_rows":[140,2,137,133,16,32,64,13,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,2,0]],["P",[140,2,137,133,16,32,64,13,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,0],"matrix_rows":[140,2,137,129,16,32,64,9,256],"offset":374,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0]],["P",[140,2,137,129,16,32,64,9,256]],["X",374],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,3,0,0,0,2,0],"matrix_rows":[140,2,133,137,16,32,64,1,256],"offset":140,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,3,3,0,0,0,2,0]],["P",[140,2,133,137,16,32,64,1,256]],["X",140],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,2,0],"matrix_rows":[140,2,137,133,16,32,64,13,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,2,0]],["P",[140,2,137,133,16,32,64,13,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,2,0],"matrix_rows":[140,2,137,133,16,32,64,13,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,2,0]],["P",[140,2,137,133,16,32,64,13,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,0],"matrix_rows":[140,2,137,129,16,32,64,9,256],"offset":136,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,0]],["P",[140,2,137,129,16,32,64,9,256]],["X",136],["phase",2]]}},"orthogonal_transvections":[141],"port":46,"q":140},
+    {"G_rows":[268,2,265,261,16,32,64,128,13],"K_word":[["P",[268,2,265,261,16,32,64,128,13]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,2]]],"Z_mask":269,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,1,0,0,0,0,2],"matrix_rows":[268,2,261,265,16,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,1,1,0,0,0,0,2]],["P",[268,2,261,265,16,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,2],"matrix_rows":[268,2,265,261,16,32,64,128,13],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,2]],["P",[268,2,265,261,16,32,64,128,13]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,2],"matrix_rows":[268,2,265,261,16,32,64,128,13],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,2]],["P",[268,2,265,261,16,32,64,128,13]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,0,2],"matrix_rows":[268,2,265,257,16,32,64,128,9],"offset":246,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,2]],["P",[268,2,265,257,16,32,64,128,9]],["X",246],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,3,0,0,0,0,2],"matrix_rows":[268,2,261,265,16,32,64,128,1],"offset":268,"phase":3,"quadratic_rows":[0,0,12,12,0,0,0,0,0]},"word":[["D",[0,0,12,12,0,0,0,0,0],[2,0,3,3,0,0,0,0,2]],["P",[268,2,261,265,16,32,64,128,1]],["X",268],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,2],"matrix_rows":[268,2,265,261,16,32,64,128,13],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,2]],["P",[268,2,265,261,16,32,64,128,13]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,2,0,0,0,0,2],"matrix_rows":[268,2,265,261,16,32,64,128,13],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,0,0,0,2]],["P",[268,2,265,261,16,32,64,128,13]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,0,2],"matrix_rows":[268,2,265,257,16,32,64,128,9],"offset":264,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,0,2]],["P",[268,2,265,257,16,32,64,128,9]],["X",264],["phase",2]]}},"orthogonal_transvections":[269],"port":47,"q":268},
+    {"G_rows":[84,2,81,8,69,32,21,128,256],"K_word":[["P",[84,2,81,8,69,32,21,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,2,0,0]]],"Z_mask":85,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,1,0,2,0,0],"matrix_rows":[84,2,69,8,81,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,1,0,1,0,2,0,0]],["P",[84,2,69,8,81,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,69,32,21,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,2,0,0]],["P",[84,2,81,8,69,32,21,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,69,32,21,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,2,0,0]],["P",[84,2,81,8,69,32,21,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,65,32,17,128,256],"offset":430,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,0]],["P",[84,2,81,8,65,32,17,128,256]],["X",430],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,3,0,2,0,0],"matrix_rows":[84,2,69,8,81,32,1,128,256],"offset":84,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,3,0,3,0,2,0,0]],["P",[84,2,69,8,81,32,1,128,256]],["X",84],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,69,32,21,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,2,0,0]],["P",[84,2,81,8,69,32,21,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,69,32,21,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,2,0,0]],["P",[84,2,81,8,69,32,21,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,0],"matrix_rows":[84,2,81,8,65,32,17,128,256],"offset":80,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,0]],["P",[84,2,81,8,65,32,17,128,256]],["X",80],["phase",2]]}},"orthogonal_transvections":[85],"port":48,"q":84},
+    {"G_rows":[148,2,145,8,133,32,64,21,256],"K_word":[["P",[148,2,145,8,133,32,64,21,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0]]],"Z_mask":149,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,1,0,0,2,0],"matrix_rows":[148,2,133,8,145,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,1,0,1,0,0,2,0]],["P",[148,2,133,8,145,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,133,32,64,21,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0]],["P",[148,2,145,8,133,32,64,21,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,133,32,64,21,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0]],["P",[148,2,145,8,133,32,64,21,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,129,32,64,17,256],"offset":366,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[148,2,145,8,129,32,64,17,256]],["X",366],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,3,0,0,2,0],"matrix_rows":[148,2,133,8,145,32,64,1,256],"offset":148,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,3,0,3,0,0,2,0]],["P",[148,2,133,8,145,32,64,1,256]],["X",148],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,133,32,64,21,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0]],["P",[148,2,145,8,133,32,64,21,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,133,32,64,21,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,2,0]],["P",[148,2,145,8,133,32,64,21,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[148,2,145,8,129,32,64,17,256],"offset":144,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[148,2,145,8,129,32,64,17,256]],["X",144],["phase",2]]}},"orthogonal_transvections":[149],"port":49,"q":148},
+    {"G_rows":[276,2,273,8,261,32,64,128,21],"K_word":[["P",[276,2,273,8,261,32,64,128,21]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2]]],"Z_mask":277,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,1,0,0,0,2],"matrix_rows":[276,2,261,8,273,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,1,0,1,0,0,0,2]],["P",[276,2,261,8,273,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,261,32,64,128,21],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2]],["P",[276,2,273,8,261,32,64,128,21]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,261,32,64,128,21],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2]],["P",[276,2,273,8,261,32,64,128,21]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,257,32,64,128,17],"offset":238,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[276,2,273,8,257,32,64,128,17]],["X",238],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,3,0,0,0,2],"matrix_rows":[276,2,261,8,273,32,64,128,1],"offset":276,"phase":3,"quadratic_rows":[0,0,20,0,20,0,0,0,0]},"word":[["D",[0,0,20,0,20,0,0,0,0],[2,0,3,0,3,0,0,0,2]],["P",[276,2,261,8,273,32,64,128,1]],["X",276],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,261,32,64,128,21],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2]],["P",[276,2,273,8,261,32,64,128,21]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,261,32,64,128,21],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,0,0,0,2]],["P",[276,2,273,8,261,32,64,128,21]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[276,2,273,8,257,32,64,128,17],"offset":272,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[276,2,273,8,257,32,64,128,17]],["X",272],["phase",2]]}},"orthogonal_transvections":[277],"port":50,"q":276},
+    {"G_rows":[100,2,97,8,16,69,37,128,256],"K_word":[["P",[100,2,97,8,16,69,37,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,2,0,0]]],"Z_mask":101,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,1,2,0,0],"matrix_rows":[100,2,69,8,16,97,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,1,0,0,1,2,0,0]],["P",[100,2,69,8,16,97,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,69,37,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,2,0,0]],["P",[100,2,97,8,16,69,37,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,69,37,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,2,0,0]],["P",[100,2,97,8,16,69,37,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,65,33,128,256],"offset":414,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[100,2,97,8,16,65,33,128,256]],["X",414],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,3,2,0,0],"matrix_rows":[100,2,69,8,16,97,1,128,256],"offset":100,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,3,0,0,3,2,0,0]],["P",[100,2,69,8,16,97,1,128,256]],["X",100],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,69,37,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,2,0,0]],["P",[100,2,97,8,16,69,37,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,69,37,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,2,0,0]],["P",[100,2,97,8,16,69,37,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[100,2,97,8,16,65,33,128,256],"offset":96,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[100,2,97,8,16,65,33,128,256]],["X",96],["phase",2]]}},"orthogonal_transvections":[101],"port":51,"q":100},
+    {"G_rows":[164,2,161,8,16,133,64,37,256],"K_word":[["P",[164,2,161,8,16,133,64,37,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,2,0]]],"Z_mask":165,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,1,0,2,0],"matrix_rows":[164,2,133,8,16,161,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,1,0,0,1,0,2,0]],["P",[164,2,133,8,16,161,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,133,64,37,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,2,0]],["P",[164,2,161,8,16,133,64,37,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,133,64,37,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,2,0]],["P",[164,2,161,8,16,133,64,37,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,129,64,33,256],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[164,2,161,8,16,129,64,33,256]],["X",350],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,3,0,2,0],"matrix_rows":[164,2,133,8,16,161,64,1,256],"offset":164,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,3,0,0,3,0,2,0]],["P",[164,2,133,8,16,161,64,1,256]],["X",164],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,133,64,37,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,2,0]],["P",[164,2,161,8,16,133,64,37,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,133,64,37,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,2,0]],["P",[164,2,161,8,16,133,64,37,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[164,2,161,8,16,129,64,33,256],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[164,2,161,8,16,129,64,33,256]],["X",160],["phase",2]]}},"orthogonal_transvections":[165],"port":52,"q":164},
+    {"G_rows":[292,2,289,8,16,261,64,128,37],"K_word":[["P",[292,2,289,8,16,261,64,128,37]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,2]]],"Z_mask":293,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,1,0,0,2],"matrix_rows":[292,2,261,8,16,289,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,1,0,0,1,0,0,2]],["P",[292,2,261,8,16,289,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,261,64,128,37],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,2]],["P",[292,2,289,8,16,261,64,128,37]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,261,64,128,37],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,2]],["P",[292,2,289,8,16,261,64,128,37]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,257,64,128,33],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[292,2,289,8,16,257,64,128,33]],["X",222],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,3,0,0,2],"matrix_rows":[292,2,261,8,16,289,64,128,1],"offset":292,"phase":3,"quadratic_rows":[0,0,36,0,0,36,0,0,0]},"word":[["D",[0,0,36,0,0,36,0,0,0],[2,0,3,0,0,3,0,0,2]],["P",[292,2,261,8,16,289,64,128,1]],["X",292],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,261,64,128,37],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,2]],["P",[292,2,289,8,16,261,64,128,37]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,261,64,128,37],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,2,0,0,2]],["P",[292,2,289,8,16,261,64,128,37]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[292,2,289,8,16,257,64,128,33],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[292,2,289,8,16,257,64,128,33]],["X",288],["phase",2]]}},"orthogonal_transvections":[293],"port":53,"q":292},
+    {"G_rows":[196,2,193,8,16,32,133,69,256],"K_word":[["P",[196,2,193,8,16,32,133,69,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,2,0]]],"Z_mask":197,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,0,1,2,0],"matrix_rows":[196,2,133,8,16,32,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,68,0,0,0,68,0,0]},"word":[["D",[0,0,68,0,0,0,68,0,0],[2,0,1,0,0,0,1,2,0]],["P",[196,2,133,8,16,32,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,133,69,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,133,69,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,133,69,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,133,69,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,129,65,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,129,65,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,0,3,2,0],"matrix_rows":[196,2,133,8,16,32,193,1,256],"offset":196,"phase":3,"quadratic_rows":[0,0,68,0,0,0,68,0,0]},"word":[["D",[0,0,68,0,0,0,68,0,0],[2,0,3,0,0,0,3,2,0]],["P",[196,2,133,8,16,32,193,1,256]],["X",196],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,133,69,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,133,69,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,133,69,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,133,69,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[196,2,193,8,16,32,129,65,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[196,2,193,8,16,32,129,65,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[197],"port":54,"q":196},
+    {"G_rows":[324,2,321,8,16,32,261,128,69],"K_word":[["P",[324,2,321,8,16,32,261,128,69]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,2]]],"Z_mask":325,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,0,1,0,2],"matrix_rows":[324,2,261,8,16,32,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,68,0,0,0,68,0,0]},"word":[["D",[0,0,68,0,0,0,68,0,0],[2,0,1,0,0,0,1,0,2]],["P",[324,2,261,8,16,32,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,261,128,69],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,261,128,69]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,261,128,69],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,261,128,69]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,257,128,65],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,257,128,65]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,0,3,0,2],"matrix_rows":[324,2,261,8,16,32,321,128,1],"offset":324,"phase":3,"quadratic_rows":[0,0,68,0,0,0,68,0,0]},"word":[["D",[0,0,68,0,0,0,68,0,0],[2,0,3,0,0,0,3,0,2]],["P",[324,2,261,8,16,32,321,128,1]],["X",324],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,261,128,69],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,261,128,69]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,261,128,69],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,261,128,69]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[324,2,321,8,16,32,257,128,65],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[324,2,321,8,16,32,257,128,65]],["X",320],["phase",2]]}},"orthogonal_transvections":[325],"port":55,"q":324},
+    {"G_rows":[388,2,385,8,16,32,64,261,133],"K_word":[["P",[388,2,385,8,16,32,64,261,133]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,2]]],"Z_mask":389,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,0,0,0,0,1,2],"matrix_rows":[388,2,261,8,16,32,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,132,0,0,0,0,132,0]},"word":[["D",[0,0,132,0,0,0,0,132,0],[2,0,1,0,0,0,0,1,2]],["P",[388,2,261,8,16,32,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,261,133],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,261,133]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,261,133],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,261,133]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,0,0,0,0,3,2],"matrix_rows":[388,2,261,8,16,32,64,385,1],"offset":388,"phase":3,"quadratic_rows":[0,0,132,0,0,0,0,132,0]},"word":[["D",[0,0,132,0,0,0,0,132,0],[2,0,3,0,0,0,0,3,2]],["P",[388,2,261,8,16,32,64,385,1]],["X",388],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,261,133],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,261,133]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,261,133],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,261,133]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[388,2,385,8,16,32,64,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[388,2,385,8,16,32,64,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[389],"port":56,"q":388},
+    {"G_rows":[56,2,4,49,41,25,64,128,256],"K_word":[["P",[56,2,4,49,41,25,64,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,0,0,0]]],"Z_mask":57,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,1,2,0,0,0],"matrix_rows":[56,2,4,41,49,1,64,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,1,1,2,0,0,0]],["P",[56,2,4,41,49,1,64,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,0,0,0],"matrix_rows":[56,2,4,49,41,25,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,0,0,0]],["P",[56,2,4,49,41,25,64,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,2,0,0,0],"matrix_rows":[56,2,4,49,41,25,64,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,0,0,0]],["P",[56,2,4,49,41,25,64,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,0],"matrix_rows":[56,2,4,49,33,17,64,128,256],"offset":462,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,0]],["P",[56,2,4,49,33,17,64,128,256]],["X",462],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,3,2,0,0,0],"matrix_rows":[56,2,4,41,49,1,64,128,256],"offset":56,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,3,3,2,0,0,0]],["P",[56,2,4,41,49,1,64,128,256]],["X",56],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,0,0,0],"matrix_rows":[56,2,4,49,41,25,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,0,0,0]],["P",[56,2,4,49,41,25,64,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,2,0,0,0],"matrix_rows":[56,2,4,49,41,25,64,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,0,0,0]],["P",[56,2,4,49,41,25,64,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,0],"matrix_rows":[56,2,4,49,33,17,64,128,256],"offset":48,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,0]],["P",[56,2,4,49,33,17,64,128,256]],["X",48],["phase",2]]}},"orthogonal_transvections":[57],"port":57,"q":56},
+    {"G_rows":[88,2,4,81,73,32,25,128,256],"K_word":[["P",[88,2,4,81,73,32,25,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,2,0,0]]],"Z_mask":89,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,1,0,2,0,0],"matrix_rows":[88,2,4,73,81,32,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,1,1,0,2,0,0]],["P",[88,2,4,73,81,32,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,2,0,0],"matrix_rows":[88,2,4,81,73,32,25,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,2,0,0]],["P",[88,2,4,81,73,32,25,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,2,0,0],"matrix_rows":[88,2,4,81,73,32,25,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,2,0,0]],["P",[88,2,4,81,73,32,25,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,0],"matrix_rows":[88,2,4,81,65,32,17,128,256],"offset":430,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,0]],["P",[88,2,4,81,65,32,17,128,256]],["X",430],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,3,0,2,0,0],"matrix_rows":[88,2,4,73,81,32,1,128,256],"offset":88,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,3,3,0,2,0,0]],["P",[88,2,4,73,81,32,1,128,256]],["X",88],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,2,0,0],"matrix_rows":[88,2,4,81,73,32,25,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,2,0,0]],["P",[88,2,4,81,73,32,25,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,2,0,0],"matrix_rows":[88,2,4,81,73,32,25,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,2,0,0]],["P",[88,2,4,81,73,32,25,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,0],"matrix_rows":[88,2,4,81,65,32,17,128,256],"offset":80,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,0]],["P",[88,2,4,81,65,32,17,128,256]],["X",80],["phase",2]]}},"orthogonal_transvections":[89],"port":58,"q":88},
+    {"G_rows":[152,2,4,145,137,32,64,25,256],"K_word":[["P",[152,2,4,145,137,32,64,25,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,2,0]]],"Z_mask":153,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,1,0,0,2,0],"matrix_rows":[152,2,4,137,145,32,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,1,1,0,0,2,0]],["P",[152,2,4,137,145,32,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,2,0],"matrix_rows":[152,2,4,145,137,32,64,25,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,2,0]],["P",[152,2,4,145,137,32,64,25,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,2,0],"matrix_rows":[152,2,4,145,137,32,64,25,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,2,0]],["P",[152,2,4,145,137,32,64,25,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[152,2,4,145,129,32,64,17,256],"offset":366,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[152,2,4,145,129,32,64,17,256]],["X",366],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,3,0,0,2,0],"matrix_rows":[152,2,4,137,145,32,64,1,256],"offset":152,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,3,3,0,0,2,0]],["P",[152,2,4,137,145,32,64,1,256]],["X",152],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,2,0],"matrix_rows":[152,2,4,145,137,32,64,25,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,2,0]],["P",[152,2,4,145,137,32,64,25,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,2,0],"matrix_rows":[152,2,4,145,137,32,64,25,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,2,0]],["P",[152,2,4,145,137,32,64,25,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,0],"matrix_rows":[152,2,4,145,129,32,64,17,256],"offset":144,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,0]],["P",[152,2,4,145,129,32,64,17,256]],["X",144],["phase",2]]}},"orthogonal_transvections":[153],"port":59,"q":152},
+    {"G_rows":[280,2,4,273,265,32,64,128,25],"K_word":[["P",[280,2,4,273,265,32,64,128,25]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,2]]],"Z_mask":281,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,1,0,0,0,2],"matrix_rows":[280,2,4,265,273,32,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,1,1,0,0,0,2]],["P",[280,2,4,265,273,32,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,2],"matrix_rows":[280,2,4,273,265,32,64,128,25],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,2]],["P",[280,2,4,273,265,32,64,128,25]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,2],"matrix_rows":[280,2,4,273,265,32,64,128,25],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,2]],["P",[280,2,4,273,265,32,64,128,25]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[280,2,4,273,257,32,64,128,17],"offset":238,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[280,2,4,273,257,32,64,128,17]],["X",238],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,3,0,0,0,2],"matrix_rows":[280,2,4,265,273,32,64,128,1],"offset":280,"phase":3,"quadratic_rows":[0,0,0,24,24,0,0,0,0]},"word":[["D",[0,0,0,24,24,0,0,0,0],[2,0,0,3,3,0,0,0,2]],["P",[280,2,4,265,273,32,64,128,1]],["X",280],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,2],"matrix_rows":[280,2,4,273,265,32,64,128,25],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,2]],["P",[280,2,4,273,265,32,64,128,25]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,2,0,0,0,2],"matrix_rows":[280,2,4,273,265,32,64,128,25],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,0,0,0,2]],["P",[280,2,4,273,265,32,64,128,25]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,0,2],"matrix_rows":[280,2,4,273,257,32,64,128,17],"offset":272,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,0,2]],["P",[280,2,4,273,257,32,64,128,17]],["X",272],["phase",2]]}},"orthogonal_transvections":[281],"port":60,"q":280},
+    {"G_rows":[104,2,4,97,16,73,41,128,256],"K_word":[["P",[104,2,4,97,16,73,41,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,2,0,0]]],"Z_mask":105,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,1,2,0,0],"matrix_rows":[104,2,4,73,16,97,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,1,0,1,2,0,0]],["P",[104,2,4,73,16,97,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,73,41,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,2,0,0]],["P",[104,2,4,97,16,73,41,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,73,41,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,2,0,0]],["P",[104,2,4,97,16,73,41,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,65,33,128,256],"offset":414,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[104,2,4,97,16,65,33,128,256]],["X",414],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,3,2,0,0],"matrix_rows":[104,2,4,73,16,97,1,128,256],"offset":104,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,3,0,3,2,0,0]],["P",[104,2,4,73,16,97,1,128,256]],["X",104],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,73,41,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,2,0,0]],["P",[104,2,4,97,16,73,41,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,73,41,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,2,0,0]],["P",[104,2,4,97,16,73,41,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[104,2,4,97,16,65,33,128,256],"offset":96,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[104,2,4,97,16,65,33,128,256]],["X",96],["phase",2]]}},"orthogonal_transvections":[105],"port":61,"q":104},
+    {"G_rows":[168,2,4,161,16,137,64,41,256],"K_word":[["P",[168,2,4,161,16,137,64,41,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,2,0]]],"Z_mask":169,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,1,0,2,0],"matrix_rows":[168,2,4,137,16,161,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,1,0,1,0,2,0]],["P",[168,2,4,137,16,161,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,137,64,41,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,2,0]],["P",[168,2,4,161,16,137,64,41,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,137,64,41,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,2,0]],["P",[168,2,4,161,16,137,64,41,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,129,64,33,256],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[168,2,4,161,16,129,64,33,256]],["X",350],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,3,0,2,0],"matrix_rows":[168,2,4,137,16,161,64,1,256],"offset":168,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,3,0,3,0,2,0]],["P",[168,2,4,137,16,161,64,1,256]],["X",168],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,137,64,41,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,2,0]],["P",[168,2,4,161,16,137,64,41,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,137,64,41,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,2,0]],["P",[168,2,4,161,16,137,64,41,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[168,2,4,161,16,129,64,33,256],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[168,2,4,161,16,129,64,33,256]],["X",160],["phase",2]]}},"orthogonal_transvections":[169],"port":62,"q":168},
+    {"G_rows":[296,2,4,289,16,265,64,128,41],"K_word":[["P",[296,2,4,289,16,265,64,128,41]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,2]]],"Z_mask":297,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,1,0,0,2],"matrix_rows":[296,2,4,265,16,289,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,1,0,1,0,0,2]],["P",[296,2,4,265,16,289,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,265,64,128,41],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,2]],["P",[296,2,4,289,16,265,64,128,41]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,265,64,128,41],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,2]],["P",[296,2,4,289,16,265,64,128,41]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,257,64,128,33],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[296,2,4,289,16,257,64,128,33]],["X",222],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,3,0,0,2],"matrix_rows":[296,2,4,265,16,289,64,128,1],"offset":296,"phase":3,"quadratic_rows":[0,0,0,40,0,40,0,0,0]},"word":[["D",[0,0,0,40,0,40,0,0,0],[2,0,0,3,0,3,0,0,2]],["P",[296,2,4,265,16,289,64,128,1]],["X",296],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,265,64,128,41],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,2]],["P",[296,2,4,289,16,265,64,128,41]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,265,64,128,41],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,2,0,0,2]],["P",[296,2,4,289,16,265,64,128,41]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[296,2,4,289,16,257,64,128,33],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[296,2,4,289,16,257,64,128,33]],["X",288],["phase",2]]}},"orthogonal_transvections":[297],"port":63,"q":296},
+    {"G_rows":[200,2,4,193,16,32,137,73,256],"K_word":[["P",[200,2,4,193,16,32,137,73,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,2,0]]],"Z_mask":201,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,0,1,2,0],"matrix_rows":[200,2,4,137,16,32,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,72,0,0,72,0,0]},"word":[["D",[0,0,0,72,0,0,72,0,0],[2,0,0,1,0,0,1,2,0]],["P",[200,2,4,137,16,32,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,137,73,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,2,0]],["P",[200,2,4,193,16,32,137,73,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,137,73,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,2,0]],["P",[200,2,4,193,16,32,137,73,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,129,65,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[200,2,4,193,16,32,129,65,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,0,3,2,0],"matrix_rows":[200,2,4,137,16,32,193,1,256],"offset":200,"phase":3,"quadratic_rows":[0,0,0,72,0,0,72,0,0]},"word":[["D",[0,0,0,72,0,0,72,0,0],[2,0,0,3,0,0,3,2,0]],["P",[200,2,4,137,16,32,193,1,256]],["X",200],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,137,73,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,2,0]],["P",[200,2,4,193,16,32,137,73,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,137,73,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,2,0]],["P",[200,2,4,193,16,32,137,73,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[200,2,4,193,16,32,129,65,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[200,2,4,193,16,32,129,65,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[201],"port":64,"q":200},
+    {"G_rows":[328,2,4,321,16,32,265,128,73],"K_word":[["P",[328,2,4,321,16,32,265,128,73]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,2]]],"Z_mask":329,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,0,1,0,2],"matrix_rows":[328,2,4,265,16,32,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,72,0,0,72,0,0]},"word":[["D",[0,0,0,72,0,0,72,0,0],[2,0,0,1,0,0,1,0,2]],["P",[328,2,4,265,16,32,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,265,128,73],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,2]],["P",[328,2,4,321,16,32,265,128,73]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,265,128,73],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,2]],["P",[328,2,4,321,16,32,265,128,73]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,257,128,65],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[328,2,4,321,16,32,257,128,65]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,0,3,0,2],"matrix_rows":[328,2,4,265,16,32,321,128,1],"offset":328,"phase":3,"quadratic_rows":[0,0,0,72,0,0,72,0,0]},"word":[["D",[0,0,0,72,0,0,72,0,0],[2,0,0,3,0,0,3,0,2]],["P",[328,2,4,265,16,32,321,128,1]],["X",328],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,265,128,73],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,2]],["P",[328,2,4,321,16,32,265,128,73]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,265,128,73],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,2,0,2]],["P",[328,2,4,321,16,32,265,128,73]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[328,2,4,321,16,32,257,128,65],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[328,2,4,321,16,32,257,128,65]],["X",320],["phase",2]]}},"orthogonal_transvections":[329],"port":65,"q":328},
+    {"G_rows":[392,2,4,385,16,32,64,265,137],"K_word":[["P",[392,2,4,385,16,32,64,265,137]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,2]]],"Z_mask":393,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,1,0,0,0,1,2],"matrix_rows":[392,2,4,265,16,32,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,136,0,0,0,136,0]},"word":[["D",[0,0,0,136,0,0,0,136,0],[2,0,0,1,0,0,0,1,2]],["P",[392,2,4,265,16,32,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,265,137],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,265,137]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,265,137],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,265,137]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,3,0,0,0,3,2],"matrix_rows":[392,2,4,265,16,32,64,385,1],"offset":392,"phase":3,"quadratic_rows":[0,0,0,136,0,0,0,136,0]},"word":[["D",[0,0,0,136,0,0,0,136,0],[2,0,0,3,0,0,0,3,2]],["P",[392,2,4,265,16,32,64,385,1]],["X",392],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,265,137],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,265,137]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,2,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,265,137],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,265,137]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[392,2,4,385,16,32,64,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[392,2,4,385,16,32,64,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[393],"port":66,"q":392},
+    {"G_rows":[112,2,4,8,97,81,49,128,256],"K_word":[["P",[112,2,4,8,97,81,49,128,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,2,0,0]]],"Z_mask":113,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,1,2,0,0],"matrix_rows":[112,2,4,8,81,97,1,128,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,1,1,2,0,0]],["P",[112,2,4,8,81,97,1,128,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,2,0,0],"matrix_rows":[112,2,4,8,97,81,49,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,2,0,0]],["P",[112,2,4,8,97,81,49,128,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,2,0,0],"matrix_rows":[112,2,4,8,97,81,49,128,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,2,0,0]],["P",[112,2,4,8,97,81,49,128,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[112,2,4,8,97,65,33,128,256],"offset":414,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[112,2,4,8,97,65,33,128,256]],["X",414],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,3,2,0,0],"matrix_rows":[112,2,4,8,81,97,1,128,256],"offset":112,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,3,3,2,0,0]],["P",[112,2,4,8,81,97,1,128,256]],["X",112],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,2,0,0],"matrix_rows":[112,2,4,8,97,81,49,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,2,0,0]],["P",[112,2,4,8,97,81,49,128,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,2,0,0],"matrix_rows":[112,2,4,8,97,81,49,128,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,2,0,0]],["P",[112,2,4,8,97,81,49,128,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,0],"matrix_rows":[112,2,4,8,97,65,33,128,256],"offset":96,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,0]],["P",[112,2,4,8,97,65,33,128,256]],["X",96],["phase",2]]}},"orthogonal_transvections":[113],"port":67,"q":112},
+    {"G_rows":[176,2,4,8,161,145,64,49,256],"K_word":[["P",[176,2,4,8,161,145,64,49,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,2,0]]],"Z_mask":177,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,1,0,2,0],"matrix_rows":[176,2,4,8,145,161,64,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,1,1,0,2,0]],["P",[176,2,4,8,145,161,64,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,2,0],"matrix_rows":[176,2,4,8,161,145,64,49,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,2,0]],["P",[176,2,4,8,161,145,64,49,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,2,0],"matrix_rows":[176,2,4,8,161,145,64,49,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,2,0]],["P",[176,2,4,8,161,145,64,49,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[176,2,4,8,161,129,64,33,256],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[176,2,4,8,161,129,64,33,256]],["X",350],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,3,0,2,0],"matrix_rows":[176,2,4,8,145,161,64,1,256],"offset":176,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,3,3,0,2,0]],["P",[176,2,4,8,145,161,64,1,256]],["X",176],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,2,0],"matrix_rows":[176,2,4,8,161,145,64,49,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,2,0]],["P",[176,2,4,8,161,145,64,49,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,2,0],"matrix_rows":[176,2,4,8,161,145,64,49,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,2,0]],["P",[176,2,4,8,161,145,64,49,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,0],"matrix_rows":[176,2,4,8,161,129,64,33,256],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,0]],["P",[176,2,4,8,161,129,64,33,256]],["X",160],["phase",2]]}},"orthogonal_transvections":[177],"port":68,"q":176},
+    {"G_rows":[304,2,4,8,289,273,64,128,49],"K_word":[["P",[304,2,4,8,289,273,64,128,49]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,2]]],"Z_mask":305,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,1,0,0,2],"matrix_rows":[304,2,4,8,273,289,64,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,1,1,0,0,2]],["P",[304,2,4,8,273,289,64,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,2],"matrix_rows":[304,2,4,8,289,273,64,128,49],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,2]],["P",[304,2,4,8,289,273,64,128,49]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,2],"matrix_rows":[304,2,4,8,289,273,64,128,49],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,2]],["P",[304,2,4,8,289,273,64,128,49]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[304,2,4,8,289,257,64,128,33],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[304,2,4,8,289,257,64,128,33]],["X",222],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,3,0,0,2],"matrix_rows":[304,2,4,8,273,289,64,128,1],"offset":304,"phase":3,"quadratic_rows":[0,0,0,0,48,48,0,0,0]},"word":[["D",[0,0,0,0,48,48,0,0,0],[2,0,0,0,3,3,0,0,2]],["P",[304,2,4,8,273,289,64,128,1]],["X",304],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,2],"matrix_rows":[304,2,4,8,289,273,64,128,49],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,2]],["P",[304,2,4,8,289,273,64,128,49]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,2,0,0,2],"matrix_rows":[304,2,4,8,289,273,64,128,49],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,0,0,2]],["P",[304,2,4,8,289,273,64,128,49]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,0,2],"matrix_rows":[304,2,4,8,289,257,64,128,33],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,2]],["P",[304,2,4,8,289,257,64,128,33]],["X",288],["phase",2]]}},"orthogonal_transvections":[305],"port":69,"q":304},
+    {"G_rows":[208,2,4,8,193,32,145,81,256],"K_word":[["P",[208,2,4,8,193,32,145,81,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,2,0]]],"Z_mask":209,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,0,1,2,0],"matrix_rows":[208,2,4,8,145,32,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,80,0,80,0,0]},"word":[["D",[0,0,0,0,80,0,80,0,0],[2,0,0,0,1,0,1,2,0]],["P",[208,2,4,8,145,32,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,145,81,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,2,0]],["P",[208,2,4,8,193,32,145,81,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,145,81,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,2,0]],["P",[208,2,4,8,193,32,145,81,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,129,65,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[208,2,4,8,193,32,129,65,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,0,3,2,0],"matrix_rows":[208,2,4,8,145,32,193,1,256],"offset":208,"phase":3,"quadratic_rows":[0,0,0,0,80,0,80,0,0]},"word":[["D",[0,0,0,0,80,0,80,0,0],[2,0,0,0,3,0,3,2,0]],["P",[208,2,4,8,145,32,193,1,256]],["X",208],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,145,81,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,2,0]],["P",[208,2,4,8,193,32,145,81,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,145,81,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,2,0]],["P",[208,2,4,8,193,32,145,81,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[208,2,4,8,193,32,129,65,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[208,2,4,8,193,32,129,65,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[209],"port":70,"q":208},
+    {"G_rows":[336,2,4,8,321,32,273,128,81],"K_word":[["P",[336,2,4,8,321,32,273,128,81]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,2]]],"Z_mask":337,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,0,1,0,2],"matrix_rows":[336,2,4,8,273,32,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,80,0,80,0,0]},"word":[["D",[0,0,0,0,80,0,80,0,0],[2,0,0,0,1,0,1,0,2]],["P",[336,2,4,8,273,32,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,273,128,81],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,2]],["P",[336,2,4,8,321,32,273,128,81]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,273,128,81],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,2]],["P",[336,2,4,8,321,32,273,128,81]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,257,128,65],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[336,2,4,8,321,32,257,128,65]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,0,3,0,2],"matrix_rows":[336,2,4,8,273,32,321,128,1],"offset":336,"phase":3,"quadratic_rows":[0,0,0,0,80,0,80,0,0]},"word":[["D",[0,0,0,0,80,0,80,0,0],[2,0,0,0,3,0,3,0,2]],["P",[336,2,4,8,273,32,321,128,1]],["X",336],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,273,128,81],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,2]],["P",[336,2,4,8,321,32,273,128,81]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,273,128,81],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,2,0,2]],["P",[336,2,4,8,321,32,273,128,81]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[336,2,4,8,321,32,257,128,65],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[336,2,4,8,321,32,257,128,65]],["X",320],["phase",2]]}},"orthogonal_transvections":[337],"port":71,"q":336},
+    {"G_rows":[400,2,4,8,385,32,64,273,145],"K_word":[["P",[400,2,4,8,385,32,64,273,145]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,2]]],"Z_mask":401,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,1,0,0,1,2],"matrix_rows":[400,2,4,8,273,32,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,144,0,0,144,0]},"word":[["D",[0,0,0,0,144,0,0,144,0],[2,0,0,0,1,0,0,1,2]],["P",[400,2,4,8,273,32,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,273,145],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,2]],["P",[400,2,4,8,385,32,64,273,145]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,273,145],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,2]],["P",[400,2,4,8,385,32,64,273,145]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[400,2,4,8,385,32,64,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,3,0,0,3,2],"matrix_rows":[400,2,4,8,273,32,64,385,1],"offset":400,"phase":3,"quadratic_rows":[0,0,0,0,144,0,0,144,0]},"word":[["D",[0,0,0,0,144,0,0,144,0],[2,0,0,0,3,0,0,3,2]],["P",[400,2,4,8,273,32,64,385,1]],["X",400],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,273,145],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,2]],["P",[400,2,4,8,385,32,64,273,145]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,2,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,273,145],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,2,0,0,2,2]],["P",[400,2,4,8,385,32,64,273,145]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[400,2,4,8,385,32,64,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[400,2,4,8,385,32,64,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[401],"port":72,"q":400},
+    {"G_rows":[224,2,4,8,16,193,161,97,256],"K_word":[["P",[224,2,4,8,16,193,161,97,256]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,2,0]]],"Z_mask":225,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,1,1,2,0],"matrix_rows":[224,2,4,8,16,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,0,96,96,0,0]},"word":[["D",[0,0,0,0,0,96,96,0,0],[2,0,0,0,0,1,1,2,0]],["P",[224,2,4,8,16,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,2,0],"matrix_rows":[224,2,4,8,16,193,161,97,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,2,0]],["P",[224,2,4,8,16,193,161,97,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,2,0],"matrix_rows":[224,2,4,8,16,193,161,97,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,2,0]],["P",[224,2,4,8,16,193,161,97,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[224,2,4,8,16,193,129,65,256],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[224,2,4,8,16,193,129,65,256]],["X",318],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,3,3,2,0],"matrix_rows":[224,2,4,8,16,161,193,1,256],"offset":224,"phase":3,"quadratic_rows":[0,0,0,0,0,96,96,0,0]},"word":[["D",[0,0,0,0,0,96,96,0,0],[2,0,0,0,0,3,3,2,0]],["P",[224,2,4,8,16,161,193,1,256]],["X",224],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,2,0],"matrix_rows":[224,2,4,8,16,193,161,97,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,2,0]],["P",[224,2,4,8,16,193,161,97,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,2,0],"matrix_rows":[224,2,4,8,16,193,161,97,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,2,0]],["P",[224,2,4,8,16,193,161,97,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,0],"matrix_rows":[224,2,4,8,16,193,129,65,256],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,0]],["P",[224,2,4,8,16,193,129,65,256]],["X",192],["phase",2]]}},"orthogonal_transvections":[225],"port":73,"q":224},
+    {"G_rows":[352,2,4,8,16,321,289,128,97],"K_word":[["P",[352,2,4,8,16,321,289,128,97]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,2]]],"Z_mask":353,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,1,1,0,2],"matrix_rows":[352,2,4,8,16,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,0,96,96,0,0]},"word":[["D",[0,0,0,0,0,96,96,0,0],[2,0,0,0,0,1,1,0,2]],["P",[352,2,4,8,16,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,2],"matrix_rows":[352,2,4,8,16,321,289,128,97],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,2]],["P",[352,2,4,8,16,321,289,128,97]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,2],"matrix_rows":[352,2,4,8,16,321,289,128,97],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,2]],["P",[352,2,4,8,16,321,289,128,97]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[352,2,4,8,16,321,257,128,65],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[352,2,4,8,16,321,257,128,65]],["X",190],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,3,3,0,2],"matrix_rows":[352,2,4,8,16,289,321,128,1],"offset":352,"phase":3,"quadratic_rows":[0,0,0,0,0,96,96,0,0]},"word":[["D",[0,0,0,0,0,96,96,0,0],[2,0,0,0,0,3,3,0,2]],["P",[352,2,4,8,16,289,321,128,1]],["X",352],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,2],"matrix_rows":[352,2,4,8,16,321,289,128,97],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,2]],["P",[352,2,4,8,16,321,289,128,97]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,2,0,2],"matrix_rows":[352,2,4,8,16,321,289,128,97],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,2,0,2]],["P",[352,2,4,8,16,321,289,128,97]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,0,2],"matrix_rows":[352,2,4,8,16,321,257,128,65],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,0,2]],["P",[352,2,4,8,16,321,257,128,65]],["X",320],["phase",2]]}},"orthogonal_transvections":[353],"port":74,"q":352},
+    {"G_rows":[416,2,4,8,16,385,64,289,161],"K_word":[["P",[416,2,4,8,16,385,64,289,161]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,2]]],"Z_mask":417,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,1,0,1,2],"matrix_rows":[416,2,4,8,16,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,0,160,0,160,0]},"word":[["D",[0,0,0,0,0,160,0,160,0],[2,0,0,0,0,1,0,1,2]],["P",[416,2,4,8,16,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,289,161],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,2]],["P",[416,2,4,8,16,385,64,289,161]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,289,161],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,2]],["P",[416,2,4,8,16,385,64,289,161]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[416,2,4,8,16,385,64,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,3,0,3,2],"matrix_rows":[416,2,4,8,16,289,64,385,1],"offset":416,"phase":3,"quadratic_rows":[0,0,0,0,0,160,0,160,0]},"word":[["D",[0,0,0,0,0,160,0,160,0],[2,0,0,0,0,3,0,3,2]],["P",[416,2,4,8,16,289,64,385,1]],["X",416],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,289,161],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,2]],["P",[416,2,4,8,16,385,64,289,161]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,2,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,289,161],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,2,2]],["P",[416,2,4,8,16,385,64,289,161]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[416,2,4,8,16,385,64,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[416,2,4,8,16,385,64,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[417],"port":75,"q":416},
+    {"G_rows":[448,2,4,8,16,32,385,321,193],"K_word":[["P",[448,2,4,8,16,32,385,321,193]],["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,2]]],"Z_mask":449,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,0,1,1,2],"matrix_rows":[448,2,4,8,16,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,0,0,0,0,192,192,0]},"word":[["D",[0,0,0,0,0,0,192,192,0],[2,0,0,0,0,0,1,1,2]],["P",[448,2,4,8,16,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,2],"matrix_rows":[448,2,4,8,16,32,385,321,193],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,2]],["P",[448,2,4,8,16,32,385,321,193]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,2],"matrix_rows":[448,2,4,8,16,32,385,321,193],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,2]],["P",[448,2,4,8,16,32,385,321,193]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[448,2,4,8,16,32,385,257,129],"offset":126,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[448,2,4,8,16,32,385,257,129]],["X",126],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,0,0,0,0,3,3,2],"matrix_rows":[448,2,4,8,16,32,321,385,1],"offset":448,"phase":3,"quadratic_rows":[0,0,0,0,0,0,192,192,0]},"word":[["D",[0,0,0,0,0,0,192,192,0],[2,0,0,0,0,0,3,3,2]],["P",[448,2,4,8,16,32,321,385,1]],["X",448],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,2],"matrix_rows":[448,2,4,8,16,32,385,321,193],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,2]],["P",[448,2,4,8,16,32,385,321,193]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,0,0,0,0,2,2,2],"matrix_rows":[448,2,4,8,16,32,385,321,193],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,2,2,2]],["P",[448,2,4,8,16,32,385,321,193]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,0,0,0,0,2,2],"matrix_rows":[448,2,4,8,16,32,385,257,129],"offset":384,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,0,0,0,0,2,2]],["P",[448,2,4,8,16,32,385,257,129]],["X",384],["phase",2]]}},"orthogonal_transvections":[449],"port":76,"q":448},
+    {"G_rows":[508,2,505,501,493,477,445,381,253],"K_word":[["P",[508,2,505,501,493,477,445,381,253]],["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,2]]],"Z_mask":509,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,0,1,1,1,1,1,1,2],"matrix_rows":[508,2,261,265,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,0,252,252,252,252,252,252,0]},"word":[["D",[0,0,252,252,252,252,252,252,0],[2,0,1,1,1,1,1,1,2]],["P",[508,2,261,265,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,2],"matrix_rows":[508,2,505,501,493,477,445,381,253],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,2]],["P",[508,2,505,501,493,477,445,381,253]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,2],"matrix_rows":[508,2,505,501,493,477,445,381,253],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,2]],["P",[508,2,505,501,493,477,445,381,253]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,2,2,2],"matrix_rows":[508,2,505,497,489,473,441,377,249],"offset":6,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,2,2,2]],["P",[508,2,505,497,489,473,441,377,249]],["X",6],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,0,3,3,3,3,3,3,2],"matrix_rows":[508,2,261,265,273,289,321,385,1],"offset":508,"phase":3,"quadratic_rows":[0,0,252,252,252,252,252,252,0]},"word":[["D",[0,0,252,252,252,252,252,252,0],[2,0,3,3,3,3,3,3,2]],["P",[508,2,261,265,273,289,321,385,1]],["X",508],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,2],"matrix_rows":[508,2,505,501,493,477,445,381,253],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,2]],["P",[508,2,505,501,493,477,445,381,253]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,2],"matrix_rows":[508,2,505,501,493,477,445,381,253],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,2]],["P",[508,2,505,501,493,477,445,381,253]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,2,2,2],"matrix_rows":[508,2,505,497,489,473,441,377,249],"offset":504,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,2,2,2]],["P",[508,2,505,497,489,473,441,377,249]],["X",504],["phase",2]]}},"orthogonal_transvections":[509],"port":77,"q":508},
+    {"G_rows":[506,505,4,499,491,475,443,379,251],"K_word":[["P",[506,505,4,499,491,475,443,379,251]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]]],"Z_mask":507,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,1,1,1,1,2],"matrix_rows":[506,259,4,265,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,250,0,250,250,250,250,250,0]},"word":[["D",[0,250,0,250,250,250,250,250,0],[2,1,0,1,1,1,1,1,2]],["P",[506,259,4,265,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[506,505,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,499,491,475,443,379,251],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[506,505,4,499,491,475,443,379,251]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,497,489,473,441,377,249],"offset":6,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,2,2,2]],["P",[506,505,4,497,489,473,441,377,249]],["X",6],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,3,3,3,3,2],"matrix_rows":[506,259,4,265,273,289,321,385,1],"offset":506,"phase":3,"quadratic_rows":[0,250,0,250,250,250,250,250,0]},"word":[["D",[0,250,0,250,250,250,250,250,0],[2,3,0,3,3,3,3,3,2]],["P",[506,259,4,265,273,289,321,385,1]],["X",506],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[506,505,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[506,505,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,0,2,2,2,2,2,2],"matrix_rows":[506,505,4,497,489,473,441,377,249],"offset":504,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,0,2,2,2,2,2,2]],["P",[506,505,4,497,489,473,441,377,249]],["X",504],["phase",2]]}},"orthogonal_transvections":[507],"port":78,"q":506},
+    {"G_rows":[502,501,499,8,487,471,439,375,247],"K_word":[["P",[502,501,499,8,487,471,439,375,247]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]]],"Z_mask":503,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,1,1,1,1,2],"matrix_rows":[502,259,261,8,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,1,1,0,1,1,1,1,2]],["P",[502,259,261,8,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[502,501,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[502,501,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[502,501,499,8,487,471,439,375,247],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[502,501,499,8,487,471,439,375,247]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,2,2,2,2],"matrix_rows":[502,501,497,8,485,469,437,373,245],"offset":10,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,2,2,2,2]],["P",[502,501,497,8,485,469,437,373,245]],["X",10],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,3,3,3,3,2],"matrix_rows":[502,259,261,8,273,289,321,385,1],"offset":502,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,3,3,0,3,3,3,3,2]],["P",[502,259,261,8,273,289,321,385,1]],["X",502],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[502,501,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[502,501,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[502,501,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[502,501,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,0,2,2,2,2,2],"matrix_rows":[502,501,497,8,485,469,437,373,245],"offset":500,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,0,2,2,2,2,2]],["P",[502,501,497,8,485,469,437,373,245]],["X",500],["phase",2]]}},"orthogonal_transvections":[503],"port":79,"q":502},
+    {"G_rows":[494,493,491,487,16,463,431,367,239],"K_word":[["P",[494,493,491,487,16,463,431,367,239]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]]],"Z_mask":495,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,0,1,1,1,2],"matrix_rows":[494,259,261,265,16,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,1,1,1,0,1,1,1,2]],["P",[494,259,261,265,16,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[494,493,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[494,493,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[494,493,491,487,16,463,431,367,239],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[494,493,491,487,16,463,431,367,239]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,2,2,2,2],"matrix_rows":[494,493,489,485,16,461,429,365,237],"offset":18,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,2,2,2]],["P",[494,493,489,485,16,461,429,365,237]],["X",18],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,0,3,3,3,2],"matrix_rows":[494,259,261,265,16,289,321,385,1],"offset":494,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,3,3,3,0,3,3,3,2]],["P",[494,259,261,265,16,289,321,385,1]],["X",494],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[494,493,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[494,493,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[494,493,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[494,493,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,0,2,2,2,2],"matrix_rows":[494,493,489,485,16,461,429,365,237],"offset":492,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,0,2,2,2,2]],["P",[494,493,489,485,16,461,429,365,237]],["X",492],["phase",2]]}},"orthogonal_transvections":[495],"port":80,"q":494},
+    {"G_rows":[478,477,475,471,463,32,415,351,223],"K_word":[["P",[478,477,475,471,463,32,415,351,223]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]]],"Z_mask":479,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,0,1,1,2],"matrix_rows":[478,259,261,265,273,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,1,1,1,1,0,1,1,2]],["P",[478,259,261,265,273,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[478,477,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[478,477,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[478,477,475,471,463,32,415,351,223],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[478,477,475,471,463,32,415,351,223]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,0,2,2,2],"matrix_rows":[478,477,473,469,461,32,413,349,221],"offset":34,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,2,2,2]],["P",[478,477,473,469,461,32,413,349,221]],["X",34],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,0,3,3,2],"matrix_rows":[478,259,261,265,273,32,321,385,1],"offset":478,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,3,3,3,3,0,3,3,2]],["P",[478,259,261,265,273,32,321,385,1]],["X",478],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[478,477,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[478,477,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[478,477,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[478,477,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,0,2,2,2],"matrix_rows":[478,477,473,469,461,32,413,349,221],"offset":476,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,0,2,2,2]],["P",[478,477,473,469,461,32,413,349,221]],["X",476],["phase",2]]}},"orthogonal_transvections":[479],"port":81,"q":478},
+    {"G_rows":[446,445,443,439,431,415,64,319,191],"K_word":[["P",[446,445,443,439,431,415,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[446,259,261,265,273,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[446,259,261,265,273,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[446,445,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[446,445,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[446,445,443,439,431,415,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[446,445,443,439,431,415,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,0,2,2],"matrix_rows":[446,445,441,437,429,413,64,317,189],"offset":66,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,0,2,2]],["P",[446,445,441,437,429,413,64,317,189]],["X",66],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[446,259,261,265,273,289,64,385,1],"offset":446,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[446,259,261,265,273,289,64,385,1]],["X",446],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[446,445,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[446,445,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[446,445,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[446,445,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,0,2,2],"matrix_rows":[446,445,441,437,429,413,64,317,189],"offset":444,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,0,2,2]],["P",[446,445,441,437,429,413,64,317,189]],["X",444],["phase",2]]}},"orthogonal_transvections":[447],"port":82,"q":446},
+    {"G_rows":[382,381,379,375,367,351,319,128,127],"K_word":[["P",[382,381,379,375,367,351,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[382,259,261,265,273,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[382,259,261,265,273,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[382,381,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[382,381,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[382,381,379,375,367,351,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[382,381,379,375,367,351,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,0,2],"matrix_rows":[382,381,377,373,365,349,317,128,125],"offset":130,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,0,2]],["P",[382,381,377,373,365,349,317,128,125]],["X",130],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[382,259,261,265,273,289,321,128,1],"offset":382,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[382,259,261,265,273,289,321,128,1]],["X",382],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[382,381,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[382,381,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[382,381,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[382,381,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,0,2],"matrix_rows":[382,381,377,373,365,349,317,128,125],"offset":380,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,0,2]],["P",[382,381,377,373,365,349,317,128,125]],["X",380],["phase",2]]}},"orthogonal_transvections":[383],"port":83,"q":382},
+    {"G_rows":[254,253,251,247,239,223,191,127,256],"K_word":[["P",[254,253,251,247,239,223,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[254,131,133,137,145,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[254,131,133,137,145,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[254,253,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[254,253,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[254,253,251,247,239,223,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[254,253,251,247,239,223,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,0],"matrix_rows":[254,253,249,245,237,221,189,125,256],"offset":258,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,0]],["P",[254,253,249,245,237,221,189,125,256]],["X",258],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[254,131,133,137,145,161,193,1,256],"offset":254,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[254,131,133,137,145,161,193,1,256]],["X",254],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[254,253,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[254,253,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[254,253,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[254,253,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[2,0,2,2,2,2,2,2,0],"matrix_rows":[254,253,249,245,237,221,189,125,256],"offset":252,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,0,2,2,2,2,2,2,0]],["P",[254,253,249,245,237,221,189,125,256]],["X",252],["phase",2]]}},"orthogonal_transvections":[255],"port":84,"q":254},
+    {"G_rows":[505,506,4,499,491,475,443,379,251],"K_word":[["P",[505,506,4,499,491,475,443,379,251]],["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]]],"Z_mask":507,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,0,1,1,1,1,1,2],"matrix_rows":[259,506,4,265,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,250,0,250,250,250,250,250,0]},"word":[["D",[0,250,0,250,250,250,250,250,0],[2,1,0,1,1,1,1,1,2]],["P",[259,506,4,265,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[505,506,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,499,491,475,443,379,251],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[505,506,4,499,491,475,443,379,251]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,498,490,474,442,378,250],"offset":6,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,2,2,2,2,2]],["P",[505,506,4,498,490,474,442,378,250]],["X",6],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,0,3,3,3,3,3,2],"matrix_rows":[259,506,4,265,273,289,321,385,1],"offset":505,"phase":3,"quadratic_rows":[0,250,0,250,250,250,250,250,0]},"word":[["D",[0,250,0,250,250,250,250,250,0],[2,3,0,3,3,3,3,3,2]],["P",[259,506,4,265,273,289,321,385,1]],["X",505],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[505,506,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,499,491,475,443,379,251],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,0,2,2,2,2,2,2]],["P",[505,506,4,499,491,475,443,379,251]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,0,2,2,2,2,2,2],"matrix_rows":[505,506,4,498,490,474,442,378,250],"offset":504,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,0,2,2,2,2,2,2]],["P",[505,506,4,498,490,474,442,378,250]],["X",504],["phase",2]]}},"orthogonal_transvections":[3,507],"port":85,"q":505},
+    {"G_rows":[501,502,499,8,487,471,439,375,247],"K_word":[["P",[501,502,499,8,487,471,439,375,247]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]]],"Z_mask":503,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,1,1,1,1,2],"matrix_rows":[259,502,261,8,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,1,1,0,1,1,1,1,2]],["P",[259,502,261,8,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[501,502,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,499,8,487,471,439,375,247],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[501,502,499,8,487,471,439,375,247]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,498,8,486,470,438,374,246],"offset":10,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,2,2,2,2]],["P",[501,502,498,8,486,470,438,374,246]],["X",10],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,3,3,3,3,2],"matrix_rows":[259,502,261,8,273,289,321,385,1],"offset":501,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,3,3,0,3,3,3,3,2]],["P",[259,502,261,8,273,289,321,385,1]],["X",501],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[501,502,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,499,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[501,502,499,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,2,2,2,2],"matrix_rows":[501,502,498,8,486,470,438,374,246],"offset":500,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,2,2,2,2]],["P",[501,502,498,8,486,470,438,374,246]],["X",500],["phase",2]]}},"orthogonal_transvections":[3,503],"port":86,"q":501},
+    {"G_rows":[493,494,491,487,16,463,431,367,239],"K_word":[["P",[493,494,491,487,16,463,431,367,239]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]]],"Z_mask":495,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,0,1,1,1,2],"matrix_rows":[259,494,261,265,16,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,1,1,1,0,1,1,1,2]],["P",[259,494,261,265,16,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[493,494,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,491,487,16,463,431,367,239],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[493,494,491,487,16,463,431,367,239]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,490,486,16,462,430,366,238],"offset":18,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[493,494,490,486,16,462,430,366,238]],["X",18],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,0,3,3,3,2],"matrix_rows":[259,494,261,265,16,289,321,385,1],"offset":493,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,3,3,3,0,3,3,3,2]],["P",[259,494,261,265,16,289,321,385,1]],["X",493],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[493,494,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,491,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[493,494,491,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[493,494,490,486,16,462,430,366,238],"offset":492,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[493,494,490,486,16,462,430,366,238]],["X",492],["phase",2]]}},"orthogonal_transvections":[3,495],"port":87,"q":493},
+    {"G_rows":[477,478,475,471,463,32,415,351,223],"K_word":[["P",[477,478,475,471,463,32,415,351,223]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]]],"Z_mask":479,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,0,1,1,2],"matrix_rows":[259,478,261,265,273,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,1,1,1,1,0,1,1,2]],["P",[259,478,261,265,273,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[477,478,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,475,471,463,32,415,351,223],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[477,478,475,471,463,32,415,351,223]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,474,470,462,32,414,350,222],"offset":34,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[477,478,474,470,462,32,414,350,222]],["X",34],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,0,3,3,2],"matrix_rows":[259,478,261,265,273,32,321,385,1],"offset":477,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,3,3,3,3,0,3,3,2]],["P",[259,478,261,265,273,32,321,385,1]],["X",477],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[477,478,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,475,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[477,478,475,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[477,478,474,470,462,32,414,350,222],"offset":476,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[477,478,474,470,462,32,414,350,222]],["X",476],["phase",2]]}},"orthogonal_transvections":[3,479],"port":88,"q":477},
+    {"G_rows":[445,446,443,439,431,415,64,319,191],"K_word":[["P",[445,446,443,439,431,415,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[259,446,261,265,273,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[259,446,261,265,273,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[445,446,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,443,439,431,415,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[445,446,443,439,431,415,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,442,438,430,414,64,318,190],"offset":66,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[445,446,442,438,430,414,64,318,190]],["X",66],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[259,446,261,265,273,289,64,385,1],"offset":445,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[259,446,261,265,273,289,64,385,1]],["X",445],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[445,446,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,443,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[445,446,443,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[445,446,442,438,430,414,64,318,190],"offset":444,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[445,446,442,438,430,414,64,318,190]],["X",444],["phase",2]]}},"orthogonal_transvections":[3,447],"port":89,"q":445},
+    {"G_rows":[381,382,379,375,367,351,319,128,127],"K_word":[["P",[381,382,379,375,367,351,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[259,382,261,265,273,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[259,382,261,265,273,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[381,382,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,379,375,367,351,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[381,382,379,375,367,351,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,378,374,366,350,318,128,126],"offset":130,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[381,382,378,374,366,350,318,128,126]],["X",130],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[259,382,261,265,273,289,321,128,1],"offset":381,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[259,382,261,265,273,289,321,128,1]],["X",381],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[381,382,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,379,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[381,382,379,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[381,382,378,374,366,350,318,128,126],"offset":380,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[381,382,378,374,366,350,318,128,126]],["X",380],["phase",2]]}},"orthogonal_transvections":[3,383],"port":90,"q":381},
+    {"G_rows":[253,254,251,247,239,223,191,127,256],"K_word":[["P",[253,254,251,247,239,223,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[131,254,133,137,145,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[131,254,133,137,145,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[253,254,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,251,247,239,223,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[253,254,251,247,239,223,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,250,246,238,222,190,126,256],"offset":258,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[253,254,250,246,238,222,190,126,256]],["X",258],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[131,254,133,137,145,161,193,1,256],"offset":253,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[131,254,133,137,145,161,193,1,256]],["X",253],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[253,254,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,251,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[253,254,251,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[253,254,250,246,238,222,190,126,256],"offset":252,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[253,254,250,246,238,222,190,126,256]],["X",252],["phase",2]]}},"orthogonal_transvections":[3,255],"port":91,"q":253},
+    {"G_rows":[499,501,502,8,487,471,439,375,247],"K_word":[["P",[499,501,502,8,487,471,439,375,247]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]]],"Z_mask":503,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,0,1,1,1,1,2],"matrix_rows":[261,259,502,8,273,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,1,1,0,1,1,1,1,2]],["P",[261,259,502,8,273,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[499,501,502,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[499,501,502,8,487,471,439,375,247]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[499,501,502,8,487,471,439,375,247],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[499,501,502,8,487,471,439,375,247]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,2,2,2,2],"matrix_rows":[499,500,502,8,486,470,438,374,246],"offset":12,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,2,2,2,2]],["P",[499,500,502,8,486,470,438,374,246]],["X",12],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,0,3,3,3,3,2],"matrix_rows":[261,259,502,8,273,289,321,385,1],"offset":499,"phase":3,"quadratic_rows":[0,246,246,0,246,246,246,246,0]},"word":[["D",[0,246,246,0,246,246,246,246,0],[2,3,3,0,3,3,3,3,2]],["P",[261,259,502,8,273,289,321,385,1]],["X",499],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[499,501,502,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[499,501,502,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,0,2,2,2,2,2],"matrix_rows":[499,501,502,8,487,471,439,375,247],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,0,2,2,2,2,2]],["P",[499,501,502,8,487,471,439,375,247]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,0,2,2,2,2,2],"matrix_rows":[499,500,502,8,486,470,438,374,246],"offset":498,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,0,2,2,2,2,2]],["P",[499,500,502,8,486,470,438,374,246]],["X",498],["phase",2]]}},"orthogonal_transvections":[5,503],"port":92,"q":499},
+    {"G_rows":[491,493,494,487,16,463,431,367,239],"K_word":[["P",[491,493,494,487,16,463,431,367,239]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]]],"Z_mask":495,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,0,1,1,1,2],"matrix_rows":[261,259,494,265,16,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,1,1,1,0,1,1,1,2]],["P",[261,259,494,265,16,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[491,493,494,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[491,493,494,487,16,463,431,367,239]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[491,493,494,487,16,463,431,367,239],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[491,493,494,487,16,463,431,367,239]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[491,492,494,486,16,462,430,366,238],"offset":20,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[491,492,494,486,16,462,430,366,238]],["X",20],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,0,3,3,3,2],"matrix_rows":[261,259,494,265,16,289,321,385,1],"offset":491,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,3,3,3,0,3,3,3,2]],["P",[261,259,494,265,16,289,321,385,1]],["X",491],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[491,493,494,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[491,493,494,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[491,493,494,487,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[491,493,494,487,16,463,431,367,239]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[491,492,494,486,16,462,430,366,238],"offset":490,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[491,492,494,486,16,462,430,366,238]],["X",490],["phase",2]]}},"orthogonal_transvections":[5,495],"port":93,"q":491},
+    {"G_rows":[475,477,478,471,463,32,415,351,223],"K_word":[["P",[475,477,478,471,463,32,415,351,223]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]]],"Z_mask":479,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,0,1,1,2],"matrix_rows":[261,259,478,265,273,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,1,1,1,1,0,1,1,2]],["P",[261,259,478,265,273,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[475,477,478,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[475,477,478,471,463,32,415,351,223]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[475,477,478,471,463,32,415,351,223],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[475,477,478,471,463,32,415,351,223]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[475,476,478,470,462,32,414,350,222],"offset":36,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[475,476,478,470,462,32,414,350,222]],["X",36],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,0,3,3,2],"matrix_rows":[261,259,478,265,273,32,321,385,1],"offset":475,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,3,3,3,3,0,3,3,2]],["P",[261,259,478,265,273,32,321,385,1]],["X",475],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[475,477,478,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[475,477,478,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[475,477,478,471,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[475,477,478,471,463,32,415,351,223]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[475,476,478,470,462,32,414,350,222],"offset":474,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[475,476,478,470,462,32,414,350,222]],["X",474],["phase",2]]}},"orthogonal_transvections":[5,479],"port":94,"q":475},
+    {"G_rows":[443,445,446,439,431,415,64,319,191],"K_word":[["P",[443,445,446,439,431,415,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[261,259,446,265,273,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[261,259,446,265,273,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[443,445,446,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[443,445,446,439,431,415,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[443,445,446,439,431,415,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[443,445,446,439,431,415,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[443,444,446,438,430,414,64,318,190],"offset":68,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[443,444,446,438,430,414,64,318,190]],["X",68],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[261,259,446,265,273,289,64,385,1],"offset":443,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[261,259,446,265,273,289,64,385,1]],["X",443],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[443,445,446,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[443,445,446,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[443,445,446,439,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[443,445,446,439,431,415,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[443,444,446,438,430,414,64,318,190],"offset":442,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[443,444,446,438,430,414,64,318,190]],["X",442],["phase",2]]}},"orthogonal_transvections":[5,447],"port":95,"q":443},
+    {"G_rows":[379,381,382,375,367,351,319,128,127],"K_word":[["P",[379,381,382,375,367,351,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[261,259,382,265,273,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[261,259,382,265,273,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[379,381,382,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[379,381,382,375,367,351,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[379,381,382,375,367,351,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[379,381,382,375,367,351,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[379,380,382,374,366,350,318,128,126],"offset":132,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[379,380,382,374,366,350,318,128,126]],["X",132],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[261,259,382,265,273,289,321,128,1],"offset":379,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[261,259,382,265,273,289,321,128,1]],["X",379],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[379,381,382,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[379,381,382,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[379,381,382,375,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[379,381,382,375,367,351,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[379,380,382,374,366,350,318,128,126],"offset":378,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[379,380,382,374,366,350,318,128,126]],["X",378],["phase",2]]}},"orthogonal_transvections":[5,383],"port":96,"q":379},
+    {"G_rows":[251,253,254,247,239,223,191,127,256],"K_word":[["P",[251,253,254,247,239,223,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[133,131,254,137,145,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[133,131,254,137,145,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[251,253,254,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[251,253,254,247,239,223,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[251,253,254,247,239,223,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[251,253,254,247,239,223,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[251,252,254,246,238,222,190,126,256],"offset":260,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[251,252,254,246,238,222,190,126,256]],["X",260],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[133,131,254,137,145,161,193,1,256],"offset":251,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[133,131,254,137,145,161,193,1,256]],["X",251],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[251,253,254,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[251,253,254,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[251,253,254,247,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[251,253,254,247,239,223,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[251,252,254,246,238,222,190,126,256],"offset":250,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[251,252,254,246,238,222,190,126,256]],["X",250],["phase",2]]}},"orthogonal_transvections":[5,255],"port":97,"q":251},
+    {"G_rows":[487,493,491,494,16,463,431,367,239],"K_word":[["P",[487,493,491,494,16,463,431,367,239]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]]],"Z_mask":495,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,0,1,1,1,2],"matrix_rows":[265,259,261,494,16,289,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,1,1,1,0,1,1,1,2]],["P",[265,259,261,494,16,289,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[487,493,491,494,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[487,493,491,494,16,463,431,367,239]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[487,493,491,494,16,463,431,367,239],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[487,493,491,494,16,463,431,367,239]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[487,492,490,494,16,462,430,366,238],"offset":24,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[487,492,490,494,16,462,430,366,238]],["X",24],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,0,3,3,3,2],"matrix_rows":[265,259,261,494,16,289,321,385,1],"offset":487,"phase":3,"quadratic_rows":[0,238,238,238,0,238,238,238,0]},"word":[["D",[0,238,238,238,0,238,238,238,0],[2,3,3,3,0,3,3,3,2]],["P",[265,259,261,494,16,289,321,385,1]],["X",487],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[487,493,491,494,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[487,493,491,494,16,463,431,367,239]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,0,2,2,2,2],"matrix_rows":[487,493,491,494,16,463,431,367,239],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,0,2,2,2,2]],["P",[487,493,491,494,16,463,431,367,239]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,0,2,2,2,2],"matrix_rows":[487,492,490,494,16,462,430,366,238],"offset":486,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,0,2,2,2,2]],["P",[487,492,490,494,16,462,430,366,238]],["X",486],["phase",2]]}},"orthogonal_transvections":[9,495],"port":98,"q":487},
+    {"G_rows":[471,477,475,478,463,32,415,351,223],"K_word":[["P",[471,477,475,478,463,32,415,351,223]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]]],"Z_mask":479,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,0,1,1,2],"matrix_rows":[265,259,261,478,273,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,1,1,1,1,0,1,1,2]],["P",[265,259,261,478,273,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[471,477,475,478,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[471,477,475,478,463,32,415,351,223]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[471,477,475,478,463,32,415,351,223],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[471,477,475,478,463,32,415,351,223]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[471,476,474,478,462,32,414,350,222],"offset":40,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[471,476,474,478,462,32,414,350,222]],["X",40],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,0,3,3,2],"matrix_rows":[265,259,261,478,273,32,321,385,1],"offset":471,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,3,3,3,3,0,3,3,2]],["P",[265,259,261,478,273,32,321,385,1]],["X",471],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[471,477,475,478,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[471,477,475,478,463,32,415,351,223]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[471,477,475,478,463,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[471,477,475,478,463,32,415,351,223]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[471,476,474,478,462,32,414,350,222],"offset":470,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[471,476,474,478,462,32,414,350,222]],["X",470],["phase",2]]}},"orthogonal_transvections":[9,479],"port":99,"q":471},
+    {"G_rows":[439,445,443,446,431,415,64,319,191],"K_word":[["P",[439,445,443,446,431,415,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[265,259,261,446,273,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[265,259,261,446,273,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[439,445,443,446,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[439,445,443,446,431,415,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[439,445,443,446,431,415,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[439,445,443,446,431,415,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[439,444,442,446,430,414,64,318,190],"offset":72,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[439,444,442,446,430,414,64,318,190]],["X",72],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[265,259,261,446,273,289,64,385,1],"offset":439,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[265,259,261,446,273,289,64,385,1]],["X",439],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[439,445,443,446,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[439,445,443,446,431,415,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[439,445,443,446,431,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[439,445,443,446,431,415,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[439,444,442,446,430,414,64,318,190],"offset":438,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[439,444,442,446,430,414,64,318,190]],["X",438],["phase",2]]}},"orthogonal_transvections":[9,447],"port":100,"q":439},
+    {"G_rows":[375,381,379,382,367,351,319,128,127],"K_word":[["P",[375,381,379,382,367,351,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[265,259,261,382,273,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[265,259,261,382,273,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[375,381,379,382,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[375,381,379,382,367,351,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[375,381,379,382,367,351,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[375,381,379,382,367,351,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[375,380,378,382,366,350,318,128,126],"offset":136,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[375,380,378,382,366,350,318,128,126]],["X",136],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[265,259,261,382,273,289,321,128,1],"offset":375,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[265,259,261,382,273,289,321,128,1]],["X",375],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[375,381,379,382,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[375,381,379,382,367,351,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[375,381,379,382,367,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[375,381,379,382,367,351,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[375,380,378,382,366,350,318,128,126],"offset":374,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[375,380,378,382,366,350,318,128,126]],["X",374],["phase",2]]}},"orthogonal_transvections":[9,383],"port":101,"q":375},
+    {"G_rows":[247,253,251,254,239,223,191,127,256],"K_word":[["P",[247,253,251,254,239,223,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[137,131,133,254,145,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[137,131,133,254,145,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[247,253,251,254,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[247,253,251,254,239,223,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[247,253,251,254,239,223,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[247,253,251,254,239,223,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[247,252,250,254,238,222,190,126,256],"offset":264,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[247,252,250,254,238,222,190,126,256]],["X",264],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[137,131,133,254,145,161,193,1,256],"offset":247,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[137,131,133,254,145,161,193,1,256]],["X",247],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[247,253,251,254,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[247,253,251,254,239,223,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[247,253,251,254,239,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[247,253,251,254,239,223,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[247,252,250,254,238,222,190,126,256],"offset":246,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[247,252,250,254,238,222,190,126,256]],["X",246],["phase",2]]}},"orthogonal_transvections":[9,255],"port":102,"q":247},
+    {"G_rows":[463,477,475,471,478,32,415,351,223],"K_word":[["P",[463,477,475,471,478,32,415,351,223]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]]],"Z_mask":479,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,0,1,1,2],"matrix_rows":[273,259,261,265,478,32,321,385,1],"offset":0,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,1,1,1,1,0,1,1,2]],["P",[273,259,261,265,478,32,321,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[463,477,475,471,478,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[463,477,475,471,478,32,415,351,223]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[463,477,475,471,478,32,415,351,223],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[463,477,475,471,478,32,415,351,223]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[463,476,474,470,478,32,414,350,222],"offset":48,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[463,476,474,470,478,32,414,350,222]],["X",48],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,0,3,3,2],"matrix_rows":[273,259,261,265,478,32,321,385,1],"offset":463,"phase":3,"quadratic_rows":[0,222,222,222,222,0,222,222,0]},"word":[["D",[0,222,222,222,222,0,222,222,0],[2,3,3,3,3,0,3,3,2]],["P",[273,259,261,265,478,32,321,385,1]],["X",463],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[463,477,475,471,478,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[463,477,475,471,478,32,415,351,223]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,0,2,2,2],"matrix_rows":[463,477,475,471,478,32,415,351,223],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,0,2,2,2]],["P",[463,477,475,471,478,32,415,351,223]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,0,2,2,2],"matrix_rows":[463,476,474,470,478,32,414,350,222],"offset":462,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,0,2,2,2]],["P",[463,476,474,470,478,32,414,350,222]],["X",462],["phase",2]]}},"orthogonal_transvections":[17,479],"port":103,"q":463},
+    {"G_rows":[431,445,443,439,446,415,64,319,191],"K_word":[["P",[431,445,443,439,446,415,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[273,259,261,265,446,289,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[273,259,261,265,446,289,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[431,445,443,439,446,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[431,445,443,439,446,415,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[431,445,443,439,446,415,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[431,445,443,439,446,415,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[431,444,442,438,446,414,64,318,190],"offset":80,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[431,444,442,438,446,414,64,318,190]],["X",80],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[273,259,261,265,446,289,64,385,1],"offset":431,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[273,259,261,265,446,289,64,385,1]],["X",431],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[431,445,443,439,446,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[431,445,443,439,446,415,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[431,445,443,439,446,415,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[431,445,443,439,446,415,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[431,444,442,438,446,414,64,318,190],"offset":430,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[431,444,442,438,446,414,64,318,190]],["X",430],["phase",2]]}},"orthogonal_transvections":[17,447],"port":104,"q":431},
+    {"G_rows":[367,381,379,375,382,351,319,128,127],"K_word":[["P",[367,381,379,375,382,351,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[273,259,261,265,382,289,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[273,259,261,265,382,289,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[367,381,379,375,382,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[367,381,379,375,382,351,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[367,381,379,375,382,351,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[367,381,379,375,382,351,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[367,380,378,374,382,350,318,128,126],"offset":144,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[367,380,378,374,382,350,318,128,126]],["X",144],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[273,259,261,265,382,289,321,128,1],"offset":367,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[273,259,261,265,382,289,321,128,1]],["X",367],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[367,381,379,375,382,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[367,381,379,375,382,351,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[367,381,379,375,382,351,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[367,381,379,375,382,351,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[367,380,378,374,382,350,318,128,126],"offset":366,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[367,380,378,374,382,350,318,128,126]],["X",366],["phase",2]]}},"orthogonal_transvections":[17,383],"port":105,"q":367},
+    {"G_rows":[239,253,251,247,254,223,191,127,256],"K_word":[["P",[239,253,251,247,254,223,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[145,131,133,137,254,161,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[145,131,133,137,254,161,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[239,253,251,247,254,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[239,253,251,247,254,223,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[239,253,251,247,254,223,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[239,253,251,247,254,223,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[239,252,250,246,254,222,190,126,256],"offset":272,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[239,252,250,246,254,222,190,126,256]],["X",272],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[145,131,133,137,254,161,193,1,256],"offset":239,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[145,131,133,137,254,161,193,1,256]],["X",239],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[239,253,251,247,254,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[239,253,251,247,254,223,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[239,253,251,247,254,223,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[239,253,251,247,254,223,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[239,252,250,246,254,222,190,126,256],"offset":238,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[239,252,250,246,254,222,190,126,256]],["X",238],["phase",2]]}},"orthogonal_transvections":[17,255],"port":106,"q":239},
+    {"G_rows":[415,445,443,439,431,446,64,319,191],"K_word":[["P",[415,445,443,439,431,446,64,319,191]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]]],"Z_mask":447,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,0,1,2],"matrix_rows":[289,259,261,265,273,446,64,385,1],"offset":0,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,1,1,1,1,1,0,1,2]],["P",[289,259,261,265,273,446,64,385,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[415,445,443,439,431,446,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[415,445,443,439,431,446,64,319,191]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[415,445,443,439,431,446,64,319,191],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[415,445,443,439,431,446,64,319,191]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[415,444,442,438,430,446,64,318,190],"offset":96,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[415,444,442,438,430,446,64,318,190]],["X",96],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,0,3,2],"matrix_rows":[289,259,261,265,273,446,64,385,1],"offset":415,"phase":3,"quadratic_rows":[0,190,190,190,190,190,0,190,0]},"word":[["D",[0,190,190,190,190,190,0,190,0],[2,3,3,3,3,3,0,3,2]],["P",[289,259,261,265,273,446,64,385,1]],["X",415],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[415,445,443,439,431,446,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[415,445,443,439,431,446,64,319,191]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,0,2,2],"matrix_rows":[415,445,443,439,431,446,64,319,191],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,0,2,2]],["P",[415,445,443,439,431,446,64,319,191]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,0,2,2],"matrix_rows":[415,444,442,438,430,446,64,318,190],"offset":414,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,0,2,2]],["P",[415,444,442,438,430,446,64,318,190]],["X",414],["phase",2]]}},"orthogonal_transvections":[33,447],"port":107,"q":415},
+    {"G_rows":[351,381,379,375,367,382,319,128,127],"K_word":[["P",[351,381,379,375,367,382,319,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[289,259,261,265,273,382,321,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[289,259,261,265,273,382,321,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[351,381,379,375,367,382,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[351,381,379,375,367,382,319,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[351,381,379,375,367,382,319,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[351,381,379,375,367,382,319,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[351,380,378,374,366,382,318,128,126],"offset":160,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[351,380,378,374,366,382,318,128,126]],["X",160],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[289,259,261,265,273,382,321,128,1],"offset":351,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[289,259,261,265,273,382,321,128,1]],["X",351],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[351,381,379,375,367,382,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[351,381,379,375,367,382,319,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[351,381,379,375,367,382,319,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[351,381,379,375,367,382,319,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[351,380,378,374,366,382,318,128,126],"offset":350,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[351,380,378,374,366,382,318,128,126]],["X",350],["phase",2]]}},"orthogonal_transvections":[33,383],"port":108,"q":351},
+    {"G_rows":[223,253,251,247,239,254,191,127,256],"K_word":[["P",[223,253,251,247,239,254,191,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[161,131,133,137,145,254,193,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[161,131,133,137,145,254,193,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[223,253,251,247,239,254,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[223,253,251,247,239,254,191,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[223,253,251,247,239,254,191,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[223,253,251,247,239,254,191,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[223,252,250,246,238,254,190,126,256],"offset":288,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[223,252,250,246,238,254,190,126,256]],["X",288],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[161,131,133,137,145,254,193,1,256],"offset":223,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[161,131,133,137,145,254,193,1,256]],["X",223],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[223,253,251,247,239,254,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[223,253,251,247,239,254,191,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[223,253,251,247,239,254,191,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[223,253,251,247,239,254,191,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[223,252,250,246,238,254,190,126,256],"offset":222,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[223,252,250,246,238,254,190,126,256]],["X",222],["phase",2]]}},"orthogonal_transvections":[33,255],"port":109,"q":223},
+    {"G_rows":[319,381,379,375,367,351,382,128,127],"K_word":[["P",[319,381,379,375,367,351,382,128,127]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]]],"Z_mask":383,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,0,2],"matrix_rows":[321,259,261,265,273,289,382,128,1],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,0,2]],["P",[321,259,261,265,273,289,382,128,1]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[319,381,379,375,367,351,382,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[319,381,379,375,367,351,382,128,127]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[319,381,379,375,367,351,382,128,127],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[319,381,379,375,367,351,382,128,127]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[319,380,378,374,366,350,382,128,126],"offset":192,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[319,380,378,374,366,350,382,128,126]],["X",192],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,0,2],"matrix_rows":[321,259,261,265,273,289,382,128,1],"offset":319,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,0,2]],["P",[321,259,261,265,273,289,382,128,1]],["X",319],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[319,381,379,375,367,351,382,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[319,381,379,375,367,351,382,128,127]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,0,2],"matrix_rows":[319,381,379,375,367,351,382,128,127],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,2]],["P",[319,381,379,375,367,351,382,128,127]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,0,2],"matrix_rows":[319,380,378,374,366,350,382,128,126],"offset":318,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,0,2]],["P",[319,380,378,374,366,350,382,128,126]],["X",318],["phase",2]]}},"orthogonal_transvections":[65,383],"port":110,"q":319},
+    {"G_rows":[191,253,251,247,239,223,254,127,256],"K_word":[["P",[191,253,251,247,239,223,254,127,256]],["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]]],"Z_mask":255,"compiled_wrappers":{"backward_input_X":{"recipe":{"linear_Z4":[2,1,1,1,1,1,1,2,0],"matrix_rows":[193,131,133,137,145,161,254,1,256],"offset":0,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,1,1,1,1,1,1,2,0]],["P",[193,131,133,137,145,161,254,1,256]],["X",0],["phase",3]]},"backward_input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[191,253,251,247,239,223,254,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[191,253,251,247,239,223,254,127,256]],["X",0],["phase",0]]},"backward_output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[191,253,251,247,239,223,254,127,256],"offset":511,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[191,253,251,247,239,223,254,127,256]],["X",511],["phase",0]]},"backward_output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[191,252,250,246,238,222,254,126,256],"offset":320,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[191,252,250,246,238,222,254,126,256]],["X",320],["phase",2]]},"input_X":{"recipe":{"linear_Z4":[2,3,3,3,3,3,3,2,0],"matrix_rows":[193,131,133,137,145,161,254,1,256],"offset":191,"phase":3,"quadratic_rows":[0,126,126,126,126,126,126,0,0]},"word":[["D",[0,126,126,126,126,126,126,0,0],[2,3,3,3,3,3,3,2,0]],["P",[193,131,133,137,145,161,254,1,256]],["X",191],["phase",3]]},"input_Y":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[191,253,251,247,239,223,254,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[191,253,251,247,239,223,254,127,256]],["X",0],["phase",0]]},"output_X":{"recipe":{"linear_Z4":[2,2,2,2,2,2,2,2,0],"matrix_rows":[191,253,251,247,239,223,254,127,256],"offset":0,"phase":0,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0]],["P",[191,253,251,247,239,223,254,127,256]],["X",0],["phase",0]]},"output_Y":{"recipe":{"linear_Z4":[0,2,2,2,2,2,2,2,0],"matrix_rows":[191,252,250,246,238,222,254,126,256],"offset":190,"phase":2,"quadratic_rows":[0,0,0,0,0,0,0,0,0]},"word":[["D",[0,0,0,0,0,0,0,0,0],[0,2,2,2,2,2,2,2,0]],["P",[191,252,250,246,238,222,254,126,256]],["X",190],["phase",2]]}},"orthogonal_transvections":[65,255],"port":111,"q":191}
+  ],
+  "recoding_bill": {"forward_prefix_component_l1_upper":57,"forward_update_coefficient":"-1/4","inverse_output_prefix_component_l1_upper":"69/13","inverse_prefix_component_l1_upper":56,"inverse_update_coefficient":"-1/52","monomial_field_maps":224,"output_scaled_adds":448,"owned_fields":8,"owned_initial_clears":8,"owned_terminal_clears":8,"signed_mode_adds":448},
+  "schema": "coded-native-real-normalizers/1",
+  "scope": "Exact physical central ABI and local gauges; not full-controller or multiplication admission.",
+  "source_payload_sha256": "cfcd36b40326d7a5815e1db5313444379b3fb756b27d5201c561574c085cc0dd",
+  "status": "PASS_CODED_NATIVE_REAL_NORMALIZERS"
+}
diff --git a/research/fresh-stage-code-separation/inputs/NOTICE b/research/fresh-stage-code-separation/inputs/NOTICE
new file mode 100644
index 0000000000..985b6b1bc7
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/NOTICE
@@ -0,0 +1,6 @@
+Coded native caller research
+Apache-2.0. Prepared for Dillon with substantial OpenAI Codex assistance.
+
+Retained sources: Cao Yifan / intqwq, joint-helper/native-map round-three word and PR4610; Dugongue / mdumitrean, PR4929 center-free coded producer; Cinna Davis / 1337isnot1337, PR4694 center-free cache, PR4698 helper basis, PR4470 controller and cumulative construction; zxv, retained exact Clifford implementation and native/compiler lineage; Jacob Alan Sussman, mixed-target recursion. Preserve all original source-specific headers. See ORIGINS.json for exact byte origins and README.md for the new result and limits.
+
+The new contribution is the phase-correct commuting physical port normalization, its corrected coded raw-dual convention, and scoped caller analysis. Center deletion, code A, its spectrum and helper compensation are predecessor work.
diff --git a/research/fresh-stage-code-separation/inputs/ORIGINS.json b/research/fresh-stage-code-separation/inputs/ORIGINS.json
new file mode 100644
index 0000000000..e18a033d4d
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/ORIGINS.json
@@ -0,0 +1,30 @@
+[
+  {
+    "path": "native-source.json.gz",
+    "source_path": "research/kappa-round3-warp-20261022/ACTUAL-WORD.json.gz",
+    "commit": "624de9dc66858af0945e5f8a0942488d62280d43",
+    "source_blob": "46d929df83817b85a5387bcdb9745e0627d6366e",
+    "sha256": "7679daa4ec6a40f56fc7f0202379a6f454310e94945aba4f48beaaaafb838d05"
+  },
+  {
+    "path": "CODE.json",
+    "source_path": "research/native-center-free-code/CODE.json",
+    "commit": "361f5d4100640177d6a983dd2f336021c75bfd5e",
+    "source_blob": "03170f4a31f7a8a3db7228f1cd5a6fdcb32720ae",
+    "sha256": "8be7f3f073b7981ec91c6af43edff0ac8a89f4824ef6026ae758c287dd6c03d0"
+  },
+  {
+    "path": "clifford_exact.py",
+    "source_path": "research/t74-native-fast/vendor/native/new/code/borrow/vendor/clifford/clifford_exact.py",
+    "commit": "624de9dc66858af0945e5f8a0942488d62280d43",
+    "source_blob": "166841a037f069249f6f7f6dedb89248812f59e2",
+    "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962"
+  },
+  {
+    "path": "CONTROLLER.json",
+    "source_path": "research/joint-helper-lattice/CONTROLLER.json",
+    "commit": "624de9dc66858af0945e5f8a0942488d62280d43",
+    "source_blob": "49a2f0675819f9deeea27ed77be2c2b6ff2e87e5",
+    "sha256": "1f5d6aa267e4e66048818714b5d3b5eae17a58abe91d15deeaa34574f7391a5f"
+  }
+]
diff --git a/research/fresh-stage-code-separation/inputs/TERMINAL.md b/research/fresh-stage-code-separation/inputs/TERMINAL.md
new file mode 100644
index 0000000000..213a172676
--- /dev/null
+++ b/research/fresh-stage-code-separation/inputs/TERMINAL.md
@@ -0,0 +1,74 @@
+# The one-stage terminal gauge has a real cost
+
+The physical normalizers make the coded supplier and its local gauge identities
+constructive. They do not make the Y terminal gauge free. This note proves that
+distinction for one actual source code, at every positive fiber width. It does
+not prove the same statement for a product of different stage codes.
+
+Let `Q` be the Gaussian on the common central line, let `K_i` be the signed
+orthogonal permutation taking that line to source port `q_i`, and put
+
+`C_ij = A_ij K_i^{-1} K_j`.
+
+The source code has exactly 5,824 nonzero entries, all off diagonal and equal to
+`+1/2` or `-1/2`. Its 112 port vectors are distinct. Write a nonzero block's
+monomial as `M = K_i^{-1} K_j`, with binary linear part `G`. Then
+
+`G e = G_i^{-1} q_j != e`,
+
+because `G_i e = q_i` and `q_i != q_j`. Also `G e != 0`. Thus `e` and `G e`
+are independent binary vectors. This statement uses the actual source ports,
+not just the polynomial satisfied by `A`.
+
+For one digit column, write the central Gaussian as
+`Q = (1+i)/2 (I-i T_e)`, where `T_e` translates the address by `e`. If
+`M |x> = s(x) |Gx>`, with `s(x)` in `{+1,-1}`, direct expansion gives
+
+`2 Q^{-1} M Q |x>`
+
+`= s(x)|Gx> - i s(x+e)|Gx+Ge> + i s(x)|Gx+e> + s(x+e)|Gx+Ge+e>`.
+
+The four destinations are distinct and every coefficient is nonzero. Every
+column, and every row, therefore has exactly four nonzero entries. Equivalently
+the Gaussian support rank is two. At fiber width `f`, the same native monomial
+and Gaussian act as tensor powers on the digit columns. Each nonzero owner
+block consequently has exactly `4^f` nonzero entries per row. The coefficient
+`A_ij` is applied once to this block; this argument does not tensor the owner
+code or replace a sum by a tensor product.
+
+The different input owners `j` are arbitrary and independent. Entries belonging
+to different owners cannot cancel each other in the full operator. Hence the
+single-code terminal operator `Q^{-1} C Q` has at least `4^f` input-coordinate
+dependencies in each row that meets a nonzero block.
+
+The inverse code has the same obstruction: `C^{-1}=(C+12I)/13`, so every
+off-diagonal block of `Q^{-1} C^{-1} Q` is precisely `1/13` times the block
+just analyzed. The added diagonal identity cannot cancel an independent input
+owner's off-diagonal block.
+
+A fixed finite word made from scalar ADD/SCALE, monomial address maps, and
+owned COPY/CLEAR has uniformly bounded row support. Initially the support is
+at most one. Monomial operations, scaling, copying and clearing do not increase
+the maximum support; an ADD increases it by at most a factor two. A word with
+`g` ADDs therefore has support at most `2^g`, even when clean scratch is allowed.
+Realizing this terminal operator needs `g >= 2f`. In particular a fixed number
+of those physical primitives cannot implement the one-stage decoder uniformly
+in the fiber width.
+
+This is a statement about the repository's fixed native scalar/monomial word
+model. It is not a general arithmetic-circuit lower bound, a lower bound for
+paid Gaussian decoders, or an impossibility theorem for coded callers. It also
+does not exclude cancellation in a product `B` of different stage codes. The
+terminal gauge `Q^{-1} B Q` of a complete controller needs its own proof.
+
+The independent verifier reconstructs every binary normalizer from the frozen
+ports without importing the primary normalizer implementation. It checks the
+rank-two support argument for all 5,824 blocks, enumerates every one-column
+row and column for three actual blocks, and rejects a diagonal-code mutation.
+The identity-conjugation control has support one, so the support test does not
+mistake the cancelling case for a rank-two case.
+
+Predecessor credit remains with Dugongue's PR #4929 coded producer, Cinna
+Davis's center-free construction, Cao Yifan's native word, and the retained
+native and controller contributors. The new result here is the exact terminal
+support gate for the actual common-line normalizers.
diff --git a/research/fresh-stage-code-separation/select_markers.py b/research/fresh-stage-code-separation/select_markers.py
new file mode 100644
index 0000000000..35e5c3cfc8
--- /dev/null
+++ b/research/fresh-stage-code-separation/select_markers.py
@@ -0,0 +1,35 @@
+"""Find small marker sets. This search is not an acceptance check.
+
+Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0.
+"""
+import argparse
+import json
+from pathlib import Path
+import random
+import verify
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--output', type=Path, required=True)
+    args = parser.parse_args()
+    verify.need(not args.output.exists(), 'Refuse to overwrite an existing file')
+    a, operators, literal = verify.source_checks(verify.load())
+    path, _ = verify.path_functions(operators, literal)
+    rng = random.Random(5376)
+    rows = []
+    for count in (1, 2, 3, 4, 5, 6, 7, 8, 9, 18, 19, 32, 64):
+        inputs = []
+        for _ in range(16):
+            inputs.append(rng.getrandbits(8*count+1))
+            survivors, peak = verify.marker_path_count(a, operators, literal, path, count, inputs)
+            if survivors == 1:
+                break
+        verify.need(survivors == 1, 'No marker certificate in the declared search budget')
+        rows.append(dict(stages=count, markers=inputs, count=survivors, peak=peak))
+    args.output.write_text(json.dumps(dict(seed=5376, candidates=rows), indent=2, sort_keys=True)+'\n')
+    print('WROTE_MARKER_CANDIDATES')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/research/fresh-stage-code-separation/verify.py b/research/fresh-stage-code-separation/verify.py
new file mode 100644
index 0000000000..cabc1789f7
--- /dev/null
+++ b/research/fresh-stage-code-separation/verify.py
@@ -0,0 +1,434 @@
+"""Check the source data and finite controls for fresh-stage path separation.
+
+Ali Romman, with substantial OpenAI Codex assistance. Apache-2.0.
+"""
+from collections import defaultdict
+from fractions import Fraction as F
+from functools import lru_cache
+import hashlib
+import itertools
+import json
+from pathlib import Path
+import sys
+
+HERE = Path(__file__).resolve().parent
+
+
+def need(value, message):
+    if not value:
+        raise ValueError(message)
+
+
+def act(columns, x):
+    y = 0
+    while x:
+        bit = x & -x
+        y ^= columns[bit.bit_length() - 1]
+        x ^= bit
+    return y
+
+
+def transpose(columns):
+    return tuple(sum(((c >> j) & 1) << i for i, c in enumerate(columns))
+                 for j in range(len(columns)))
+
+
+def compose(left, right):
+    a, b = left
+    c, d = right
+    return tuple(act(a, x) for x in c), d ^ act(transpose(c), b)
+
+
+def inverse_orthogonal(operator):
+    a, b = operator
+    inverse = transpose(a)
+    return inverse, act(transpose(inverse), b)
+
+
+def embed(operator, stage, count):
+    columns, beta = operator
+    positions = [0] + list(range(1 + 8*stage, 9 + 8*stage))
+    def lift(x):
+        return sum(((x >> j) & 1) << p for j, p in enumerate(positions))
+    out = [1 << j for j in range(1 + 8*count)]
+    for p, col in zip(positions, columns):
+        out[p] = lift(col)
+    return tuple(out), lift(beta)
+
+
+def signed_apply(operator, x):
+    columns, beta = operator
+    return act(columns, x), -1 if (beta & x).bit_count() % 2 else 1
+
+
+# Exact Gaussian numbers are pairs of rational numbers.
+def plus(a, b):
+    return a[0] + b[0], a[1] + b[1]
+
+
+def times(a, b):
+    return a[0]*b[0] - a[1]*b[1], a[0]*b[1] + a[1]*b[0]
+
+
+def q_entries(sign):
+    return ((0, (F(1, 2), F(sign, 2))),
+            (1, (F(1, 2), F(-sign, 2))))
+
+
+def n_column(operator, x):
+    """Apply Q inverse, M, Q in matrix order Q^-1 M Q."""
+    out = defaultdict(lambda: (F(0), F(0)))
+    for shift, q in q_entries(1):
+        y, s = signed_apply(operator, x ^ shift)
+        for back, z in q_entries(-1):
+            out[y ^ back] = plus(out[y ^ back], times((s*q[0], s*q[1]), z))
+    return {y: z for y, z in out.items() if z != (0, 0)}
+
+
+def n_entry(operator, y, x):
+    return n_column(operator, x).get(y, (F(0), F(0)))
+
+
+def marker(operator, y, x):
+    """Contract an N entry with the literal left Q and right Q inverse."""
+    out = (F(0), F(0))
+    for a, u in q_entries(1):
+        for b, v in q_entries(-1):
+            out = plus(out, times(times(u, n_entry(operator, y ^ a, x ^ b)), v))
+    return out
+
+
+def alpha(exponent):
+    return (1 - F(-13)**exponent) / 14
+
+
+def code_power_entry(a, exponent, i, j):
+    return alpha(exponent)*a[i][j] + (1-alpha(exponent))*(i == j)
+
+
+def validate_stages(stages, shared_axes=1):
+    need(shared_axes == 1, "The common coordinate space has dimension one")
+    need(stages and len(set(stages)) == len(stages), "Each stage has a distinct private block")
+
+
+def reject(function):
+    try:
+        function()
+    except ValueError:
+        return 1
+    raise ValueError("A negative control was accepted")
+
+
+def load():
+    manifest = json.loads((HERE / 'SOURCES.json').read_bytes())
+    objects = {}
+    for item in manifest['inputs']:
+        raw = (HERE / item['path']).read_bytes()
+        need(hashlib.sha256(raw).hexdigest() == item['sha256'], 'Pinned source: ' + item['path'])
+        if item['path'].endswith('.json'):
+            objects[Path(item['path']).name] = json.loads(raw)
+    return objects
+
+
+def source_checks(objects):
+    a = [[F(x) for x in row] for row in objects['CODE.json']['A']]
+    ports = objects['NORMALIZERS.json']['ports']
+    need(len(a) == len(ports) == 112 and all(len(row) == 112 for row in a), '112-owner code')
+    need(all(a[i][i] == 0 for i in range(112)), 'Zero code diagonal')
+    need(a[0][1] == a[1][0] == F(-1, 2), 'Nonzero alternating witness edge')
+    need(len({p['q'] for p in ports}) == 112, 'Distinct port images')
+    for i in range(112):
+        for j in range(112):
+            need(sum(a[i][t]*a[t][j] for t in range(112)) + 12*a[i][j] == 13*(i == j),
+                 'Exact code polynomial')
+    operators = []
+    literal = []
+    for index, p in enumerate(ports):
+        rows = p['G_rows']
+        columns = transpose(rows)
+        need(len(columns) == 9 and all(0 <= x < 512 for x in columns), 'Nine-axis map')
+        need(all(((x & y).bit_count() % 2) == (i == j)
+                 for i, x in enumerate(columns) for j, y in enumerate(columns)), 'Orthogonal map')
+        need(p['port'] == index and columns[0] == p['q'], 'Central port image')
+        need(p['K_word'] == [['P', rows], ['D', [0]*9,
+             [2*((p['Z_mask'] >> j) & 1) for j in range(9)]]], 'Literal signed K word')
+        beta = act(transpose(columns), p['Z_mask'])
+        operator = columns, beta
+        # This second evaluator uses row dot products and the literal output sign.
+        table = []
+        for x in range(512):
+            y = sum(((row & x).bit_count() % 2) << j for j, row in enumerate(rows))
+            s = (-1)**((p['Z_mask'] & y).bit_count() % 2)
+            need(signed_apply(operator, x) == (y, s), 'Independent signed K action')
+            table.append((y, s))
+        operators.append(operator)
+        literal.append(table)
+    for exponent in range(-5, 6):
+        if exponent:
+            need(alpha(exponent) != 0, 'Nonzero power coefficient')
+        # Check the two exact eigenvalues, including negative powers.
+        for eigenvalue in (1, -13):
+            need(alpha(exponent)*eigenvalue + 1-alpha(exponent) == F(eigenvalue)**exponent,
+                 'Power interpolation')
+    return a, operators, literal
+
+
+def path_functions(operators, literal):
+    @lru_cache(None)
+    def transition(i, j):
+        return compose(inverse_orthogonal(operators[i]), operators[j])
+
+    @lru_cache(None)
+    def path(owners):
+        count = len(owners)-1
+        out = tuple(1 << j for j in range(1 + 8*count)), 0
+        for stage, (j, i) in enumerate(zip(owners, owners[1:])):
+            out = compose(embed(transition(i, j), stage, count), out)
+        return out
+
+    inverse_tables = []
+    for table in literal:
+        inv = [None]*512
+        for x, (y, sign) in enumerate(table):
+            inv[y] = x, sign
+        inverse_tables.append(inv)
+
+    def direct(owners, x):
+        sign = 1
+        for stage, (j, i) in enumerate(zip(owners, owners[1:])):
+            shift = 1 + 8*stage
+            local = (x & 1) | (((x >> shift) & 255) << 1)
+            y, s = literal[j][local]
+            y, t = inverse_tables[i][y]
+            x = (x & ~(1 | (255 << shift))) | (y & 1) | ((y >> 1) << shift)
+            sign *= s*t
+        return x, sign
+    return path, direct
+
+
+def finite_paths(a, path, direct):
+    results = []
+    total_markers = 0
+    for count in (2, 3):
+        last = count % 2
+        chosen = tuple(j % 2 for j in range(count+1))
+        selected = path(chosen)
+        maps = set()
+        selected_markers = []
+        for j in range(1, 1+8*count):
+            x, y = 1 << j, selected[0][j]
+            selected_markers.append(marker(selected, y, x))
+        need(all(z in ((1, 0), (-1, 0)) for z in selected_markers), 'Selected marker coefficient')
+        sign_patterns = list(itertools.product((-1, 1), repeat=count))
+        active = [0]*len(sign_patterns)
+        for middle in itertools.product(range(112), repeat=count-1):
+            owners = (0,) + middle + (last,)
+            op = path(owners)
+            need(op[0] not in maps, 'Distinct complete binary path maps')
+            maps.add(op[0])
+            # All private columns determine an orthogonal address map.
+            if owners != chosen:
+                different = next((j for j in range(1, len(op[0])) if op[0][j] != selected[0][j]), None)
+                need(different is not None, 'Private-column separation')
+                need(marker(op, selected[0][different], 1 << different) == (0, 0),
+                     'A literal four-term marker kills this path')
+                total_markers += 1
+            # Every basis column has a separately evaluated literal source action.
+            for j, y in enumerate(op[0]):
+                need(direct(owners, 1 << j) == (y, (-1)**((op[1] >> j) & 1)),
+                     'Literal path and composed map agree')
+            for position, signs in enumerate(sign_patterns):
+                if all(code_power_entry(a, s, i, j) for s, j, i in zip(signs, owners, owners[1:])):
+                    active[position] += 1
+        need(selected[0][0] != 1, 'Selected path moves the central vector')
+        for x in (0, 1, 3, (1 << (8*count+1))-1):
+            need(len(n_column(selected, x)) == 4, 'Four nonzero conjugated entries')
+        results.append(dict(stages=count, all_paths=len(maps), signs=[list(s) for s in sign_patterns],
+                            active_paths=active, marker_columns=8*count))
+    return results, total_markers
+
+
+def marker_path_count(a, operators, literal, path, count, inputs, reverse=False):
+    """Count every path that survives the marker columns, without path expansion."""
+    owners = tuple(j % 2 for j in range(count+1))
+    selected = path(owners)
+    outputs = [act(selected[0], x) for x in inputs]
+    to_mask = lambda xs: sum((x & 1) << j for j, x in enumerate(xs))
+    initial = (count % 2, to_mask(outputs)) if reverse else (0, to_mask(inputs))
+    final = (0, to_mask(inputs)) if reverse else (count % 2, to_mask(outputs))
+    state, peak = {initial: 1}, 1
+    tables = [[y for y, sign in table] for table in literal]
+    inverses = [[0]*512 for _ in range(112)]
+    for i, table in enumerate(tables):
+        for x, y in enumerate(table):
+            inverses[i][y] = x
+    stages = range(count-1, -1, -1) if reverse else range(count)
+    for stage in stages:
+        shift = 8*stage+1
+        incoming = [(x >> shift) & 255 for x in (outputs if reverse else inputs)]
+        outgoing = [(x >> shift) & 255 for x in (inputs if reverse else outputs)]
+        next_state = defaultdict(int)
+        for (owner, central), multiplicity in state.items():
+            local = [(v << 1) | ((central >> j) & 1) for j, v in enumerate(incoming)]
+            for other in range(112):
+                coefficient = a[owner][other] if reverse else a[other][owner]
+                if other != owner and not coefficient:
+                    continue
+                if reverse:
+                    # Separate matrix composition, in the reverse direction.
+                    op = compose(inverse_orthogonal(operators[other]), operators[owner])
+                    images = [act(op[0], x) for x in local]
+                else:
+                    images = [inverses[other][tables[owner][x]] for x in local]
+                if all(y >> 1 == target for y, target in zip(images, outgoing)):
+                    next_state[other, to_mask(images)] += multiplicity
+        state = next_state
+        peak = max(peak, len(state))
+    return state.get(final, 0), peak
+
+
+def short_markers(a, operators, literal, path):
+    saved = json.loads((HERE/'MARKERS.json').read_bytes())
+    result = []
+    for row in saved['candidates']:
+        count, inputs = row['stages'], row['markers']
+        need(all(type(x) is int and 0 <= x < 1 << (8*count+1) for x in inputs),
+             'Marker address domain')
+        forward, peak = marker_path_count(a, operators, literal, path, count, inputs)
+        backward, _ = marker_path_count(a, operators, literal, path, count, inputs, True)
+        need(forward == backward == row['count'] == 1 and peak == row['peak'],
+             'Exactly one path survives in both dynamic programs')
+        selected = path(tuple(j % 2 for j in range(count+1)))
+        for x in inputs:
+            need(marker(selected, act(selected[0], x), x) in ((1, 0), (-1, 0)),
+                 'Every selected short marker is nonzero')
+        result.append(dict(stages=count, markers=len(inputs), paths=forward,
+                           maximum_states=peak, add_offset=3*len(inputs)))
+    need(marker_path_count(a, operators, literal, path, 2, [])[0] > 1,
+         'An empty marker set does not isolate a path')
+    return result
+
+
+def bank_checks(objects, a, path, direct, short):
+    banks = []
+    for bank in objects['GAUGE.json']['typed_caller']['endpoint']:
+        if bank['central_exponent'] != -1:
+            continue
+        word = bank['code_word_left_to_right']
+        stages = [s for s, e in word]
+        validate_stages(stages)
+        need(bank['operator'] == 'Q^-1 B D' and stages == bank['gaussian_stages'], 'Actual terminal type')
+        count = len(word)
+        owners = tuple(j % 2 for j in range(count+1))
+        op = path(owners)
+        need(op[0][0] != 1, 'Actual-bank witness has four-point support')
+        for j, y in enumerate(op[0]):
+            need(direct(owners, 1 << j) == (y, (-1)**((op[1] >> j) & 1)), 'Actual-bank literal path')
+        powers = [-e for s, e in word]
+        coefficient = F(1)
+        for exponent in powers:
+            coefficient *= alpha(exponent)*a[0][1]
+        need(coefficient != 0, 'Inverse decoder retains the selected path')
+        banks.append(dict(role=bank['role'], stages=count, source_word=word,
+                          decoder_execution_powers=powers, marker_columns=next(r['markers'] for r in short if r['stages'] == count),
+                          add_lower_bound=f"max(0, 2*f - {next(r['add_offset'] for r in short if r['stages'] == count)})",
+                          selected_path_coefficient=str(coefficient)))
+    need([b['role'] for b in banks] == list(range(16)), 'All sixteen negative banks')
+    return banks
+
+
+def boundary_checks(a, path):
+    controls = 0
+    controls += reject(lambda: validate_stages([0, 0]))
+    controls += reject(lambda: validate_stages([0, 1], 2))
+    controls += reject(lambda: validate_stages([]))
+    # Reusing one block gives C*C^-1=I. These scalar identities bind the full
+    # monomial blocks because K_i^-1 K_t K_t^-1 K_j = K_i^-1 K_j.
+    for i in range(112):
+        for j in range(112):
+            value = sum(a[i][t]*(a[t][j]+12*(t == j))/13 for t in range(112))
+            need(value == (i == j), 'Repeated-stage inverse cancellation')
+    # With two common axes, nonidentity gauges can pass between fresh blocks.
+    def permutation(images):
+        return tuple(1 << j for j in images), 0
+    h = permutation([1, 0, 2, 3])
+    left = permutation([3, 1, 2, 0])
+    right = permutation([2, 1, 0, 3])
+    left2, right2 = compose(left, h), compose(h, right)
+    need(left != left2 and right != right2, 'Different local factors')
+    need(compose(left, right) == compose(left2, right2), 'Two-center factor collision')
+    # The actual owner coefficients 2 and 98 have opposite signs. With
+    # two shared axes, this change makes their complete monomials equal.
+    need(a[0][2]*a[2][1] == -a[0][98]*a[98][1] == F(1, 4),
+         'Actual owner coefficients cancel on the changed two-center paths')
+    need(compose(left, right)[0][0] != 1, 'Each cancelling term is nonmonomial after Q')
+    need(len({1, left[0][0], left2[0][0]}) == 3
+         and len({1, right[0][0], inverse_orthogonal(right2)[0][0]}) == 3,
+         'The specified port images remain distinct in each changed stage')
+    common = compose(left, right)
+    other = compose(left2, right2)
+    for x in range(16):
+        need(n_column(common, x) == n_column(other, x) and len(n_column(common, x)) == 4,
+             'The two cancelling terms agree with exact phases at every base input')
+    # A wrong Q orientation fails the literal contraction even on a diagonal term.
+    op = path((0, 1))
+    x, y = 0, 0
+    correct = marker(op, y, x)
+    wrong = (F(0), F(0))
+    for u, cu in q_entries(-1):
+        for v, cv in q_entries(-1):
+            wrong = plus(wrong, times(times(cu, n_entry(op, y ^ u, x ^ v)), cv))
+    need(correct != wrong, 'Wrong marker orientation changes an actual entry')
+    controls += 1
+    need(alpha(-1) == F(1, 13) and alpha(2) == -12, 'Inverse and square coefficients')
+    need(F(1, 4) != F(1, 4)**2, 'Owner coefficients are not tensor powered')
+    controls += 1
+    return dict(rejection_controls=controls, repeated_stage_inverse=True,
+                two_common_axes_collision=True)
+
+
+def run():
+    objects = load()
+    a, operators, literal = source_checks(objects)
+    path, direct = path_functions(operators, literal)
+    census, markers = finite_paths(a, path, direct)
+    short = short_markers(a, operators, literal, path)
+    banks = bank_checks(objects, a, path, direct, short)
+    boundary = boundary_checks(a, path)
+    # The written induction has no stage-count bound. These longer paths are controls.
+    longer = []
+    for count in (1, 4, 8, 16, 19, 32, 64):
+        owners = tuple(j % 2 for j in range(count+1))
+        op = path(owners)
+        need(op[0][0] != 1, 'Long path preserves an earlier private component')
+        for x in (0, 1, 3, 1 << (8*count)):
+            need(signed_apply(op, x) == direct(owners, x), 'Long literal path check')
+            need(len(n_column(op, x)) == 4, 'Long path four-point support')
+        longer.append(count)
+    return dict(status='PASS_ALL_LENGTH_FRESH_STAGE_SEPARATION_NO_NEW_KAPPA',
+                scope='Every nonempty product of distinct fresh stages with nonzero integer powers',
+                owner_count=112, normalizer_entries=112*512, code_polynomial_entries=112*112,
+                complete_path_censuses=census, literal_killing_markers=markers,
+                negative_banks=banks, short_marker_certificates=short,
+                long_path_stage_counts=longer, controls=boundary,
+                theorem_add_lower_bound='g >= max(0, 2*f - 24*k)',
+                selected_kappa_unchanged='0.0030217758')
+
+
+def main():
+    need(sys.argv[1:] in ([], ['--write']), 'Use no arguments or --write')
+    result = run()
+    encoded = json.dumps(result, indent=2, sort_keys=True)+'\n'
+    destination = HERE/'RESULT.json'
+    if sys.argv[1:]:
+        need(not destination.exists(), 'Refuse to overwrite the result')
+        destination.write_text(encoded)
+    else:
+        need(destination.read_text() == encoded, 'Exact recorded result')
+    print(result['status'])
+    print(json.dumps(dict(paths=sum(c['all_paths'] for c in result['complete_path_censuses']),
+                          markers=result['literal_killing_markers'], banks=len(result['negative_banks']))))
+
+
+if __name__ == '__main__':
+    main()

From 256126eeb1607c0bf52996c3d90490f2b786b94a Mon Sep 17 00:00:00 2001
From: Ali Romman <226877337+aliromman@users.noreply.github.com>
Date: Fri, 23 Oct 2026 18:43:52 -0500
Subject: [PATCH 2/2] Keep frozen source bytes exact and record the shared-axis
 probe

---
 research/fresh-stage-code-separation/.gitattributes  |  2 ++
 .../fresh-stage-code-separation/RESEARCH-NOTES.md    | 12 ++++++++++++
 .../fresh-stage-code-separation/inputs/CODE.json     |  2 +-
 3 files changed, 15 insertions(+), 1 deletion(-)
 create mode 100644 research/fresh-stage-code-separation/.gitattributes

diff --git a/research/fresh-stage-code-separation/.gitattributes b/research/fresh-stage-code-separation/.gitattributes
new file mode 100644
index 0000000000..5c3ebb21a9
--- /dev/null
+++ b/research/fresh-stage-code-separation/.gitattributes
@@ -0,0 +1,2 @@
+inputs/* -text
+inputs/CODE.json whitespace=cr-at-eol
diff --git a/research/fresh-stage-code-separation/RESEARCH-NOTES.md b/research/fresh-stage-code-separation/RESEARCH-NOTES.md
index a95a915a64..495d924391 100644
--- a/research/fresh-stage-code-separation/RESEARCH-NOTES.md
+++ b/research/fresh-stage-code-separation/RESEARCH-NOTES.md
@@ -47,6 +47,18 @@ unpriced. The family expansion decision is therefore: publish the theorem and
 small exact escape mechanism; require a complete two-stage budget before a
 larger synthesis campaign.
 
+A further local screen shared each of the eight possible old private axes
+between two actual source stages. In owner block (0,1), sharing old axis one
+merged 26 paths into 21 signed maps; all 21 coefficients stayed nonzero.
+The other seven choices retained 26 nonzero maps. Thus simple coordinate
+sharing did not supply a complete decoder. This bounded discovery screen is
+saved with the project record and is not used as a theorem premise. The
+positive two-path example instead changes the corresponding normalizers.
+
+The first commit normalized the CRLF end of the frozen CODE.json input.
+The committed-byte check caught the difference. Package attributes now keep
+all copied inputs byte-exact. The scientific data and proof are unchanged.
+
 Normal/optimized registered replays, committed bytes, export checks and
 publication evidence are reported in the final public handoff. This file does
 not treat a pending hosted check as a pass. The mathematical proof and finite
diff --git a/research/fresh-stage-code-separation/inputs/CODE.json b/research/fresh-stage-code-separation/inputs/CODE.json
index 8cc51b82cc..03170f4a31 100644
--- a/research/fresh-stage-code-separation/inputs/CODE.json
+++ b/research/fresh-stage-code-separation/inputs/CODE.json
@@ -1 +1 @@
-{"A":[["0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","1/2","1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","1/2","1/2","1/2","0","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","-1/2","0","0","0","0","0","1/2","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","-1/2","0","0","0","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2","0","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["0","0","0","0","-1/2","0","0","0","0","0","1/2","0","1/2","1/2","0","1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","1/2","1/2","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","1/2","0","1/2","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","-1/2","1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","1/2","1/2","1/2","1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","1/2","1/2","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","1/2","0","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","0","0","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","1/2","1/2","1/2","0","1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","1/2","1/2","1/2","1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","0","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["-1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","1/2","1/2","0","0","0","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","-1/2","-1/2"],["-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","0","1/2","1/2","0","0","1/2","0","0","0","1/2","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","1/2","0"],["-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","1/2","0","0","0","1/2","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","0","0","1/2"],["-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","0","1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","1/2","1/2","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","1/2","1/2","1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","1/2","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","1/2","0","0","1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","1/2","0","0","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","1/2","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","0","1/2","1/2","-1/2","-1/2"],["-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","-1/2","0","1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","1/2","0","1/2","1/2","0"],["-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2"],["-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0"],["-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","0","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","-1/2","-1/2","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","1/2","1/2","1/2","1/2","1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","1/2","0","1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["1/2","1/2","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","1/2","1/2","0","0","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","1/2","0","0","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","1/2","1/2","0","1/2","1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","1/2"],["0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0"],["0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2"],["0","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","-1/2","1/2","0","1/2","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0"],["0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","-1/2","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2"],["0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0"],["0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2"],["0","0","0","1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","1/2","-1/2","0","0","-1/2","1/2","0","-1/2","0","0","-1/2","1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","0","1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2"],["0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","0","1/2","-1/2","0","1/2","-1/2","0"]]}
+{"A":[["0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","0","1/2","1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","0","1/2","1/2","0","1/2","1/2","1/2","1/2","0","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","1/2","1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","1/2","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","1/2","1/2","1/2","0","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","-1/2","0","0","0","0","0","1/2","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","-1/2","0","0","0","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2","0","1/2","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","1/2","0","0","1/2","1/2"],["0","0","0","0","-1/2","0","0","0","0","0","1/2","0","1/2","1/2","0","1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","1/2","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","0","0","1/2","0","0","1/2","0","1/2","1/2","1/2","-1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["-1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","1/2"],["-1/2","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["-1/2","0","0","0","0","-1/2","0","-1/2","1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","1/2","0","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","1/2","0","0","0","1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","1/2","1/2","0","1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","-1/2","0","0","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","1/2","1/2","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","0","-1/2","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","1/2","0","-1/2","0","-1/2","1/2","0","1/2","1/2","0","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","0","-1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","1/2","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","1/2","0","-1/2","1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","1/2","1/2","1/2","1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","0","0","0","1/2","1/2","-1/2","1/2","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","1/2","1/2","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0"],["0","1/2","0","1/2","1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","0","0","1/2","1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","1/2","1/2","1/2","0","1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0"],["0","1/2","1/2","1/2","1/2","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","1/2","0","1/2","1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","0","-1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","1/2","0","-1/2"],["-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["-1/2","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","1/2","1/2","1/2","0","0","0","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","-1/2","-1/2"],["-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","1/2","0","1/2","1/2","0","0","1/2","0","0","0","1/2","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","1/2","0"],["-1/2","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","1/2","0","0","0","0","1/2","0","0","1/2","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","1/2","0","0","0","1/2","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","0","0","1/2"],["-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","1/2","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","1/2","0","0","0","0","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","0","0","0","-1/2","0","0","-1/2","1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","1/2","1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","0","1/2","1/2","0","-1/2","-1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","0","-1/2","-1/2"],["0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","0","1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0"],["0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","1/2","0","0","1/2","0","0","1/2","0","0","-1/2","1/2","1/2","0","1/2","0","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","1/2","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","1/2","1/2","1/2","0","-1/2","1/2","1/2","0","0","0","-1/2","0","1/2"],["0","1/2","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","0","1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","0","-1/2","1/2","1/2","0","0","0","0","-1/2","0","-1/2","1/2","0","0","0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","0","-1/2","0","1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["0","1/2","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","0","1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","0","-1/2","0","1/2","-1/2","0","0","1/2","0","1/2","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","0","0","1/2","0","0","0","1/2","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","-1/2","0","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2"],["0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","1/2","0","0","1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","-1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","0","1/2","0","1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","1/2","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0"],["0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","1/2","0","0","0","0","1/2","1/2","-1/2","1/2","0","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","1/2","1/2","1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","1/2","1/2"],["-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","0","0","-1/2","-1/2","1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","1/2","0","0","1/2","0","0","0","0","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","1/2","0","0","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","0","1/2","1/2","-1/2","-1/2"],["-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","-1/2","0","1/2","0","0","1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","-1/2","0","0","1/2","0","0","1/2","0","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","1/2","0","-1/2","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","1/2","1/2","0","1/2","1/2","0"],["-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","1/2","0","0","1/2","0","0","-1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2"],["-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","-1/2","0","0","-1/2"],["-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0"],["-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","-1/2","-1/2","1/2","1/2"],["-1/2","-1/2","0","0","0","-1/2","-1/2","1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","1/2","-1/2","-1/2","0","0","0","1/2","0","-1/2"],["-1/2","-1/2","0","0","-1/2","0","-1/2","1/2","0","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","-1/2","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0"],["-1/2","-1/2","0","-1/2","0","0","-1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","0","0","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","0","0","0","0","0","1/2","1/2","0","0","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","-1/2","-1/2","1/2","0","0","1/2","1/2"],["-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0"],["0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","1/2","0","1/2","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","1/2","1/2","1/2","1/2","1/2","0","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","1/2","0","1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","-1/2","1/2","1/2","1/2","0","1/2","0","0","0","0","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["1/2","1/2","0","1/2","1/2","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","1/2","1/2","0","0","0","1/2","0","0","0","0","0","-1/2","0","0","0","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","0","1/2","1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","0","1/2","-1/2","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","1/2","-1/2","1/2","1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","1/2","0","-1/2","0","1/2","0","0","0","0","0","0","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],["0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0"],["-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","1/2","0","0","0","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","0","0","1/2","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","0","1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","0","0","0","0","0","0","-1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","0","1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0"],["0","1/2","0","0","0","0","-1/2","0","-1/2","1/2","1/2","1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["0","0","-1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","0","0","0","1/2","1/2","0","1/2","1/2","1/2","0","0","0","0","-1/2","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","0","0","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","1/2","0","1/2","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0"],["0","0","0","1/2","0","0","-1/2","1/2","-1/2","0","1/2","1/2","0","1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","0","1/2","0","-1/2","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","0","1/2","-1/2","1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["0","0","0","0","1/2","0","-1/2","1/2","-1/2","1/2","0","1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","1/2","0","1/2","1/2","0","1/2","0","1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","-1/2","1/2","-1/2","0","-1/2","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2","0"],["0","0","0","0","0","1/2","-1/2","1/2","-1/2","1/2","1/2","0","0","0","0","1/2","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","1/2","1/2","0","1/2","1/2","0","1/2","0","0","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","-1/2","0","0","0","-1/2","0","0","-1/2","0","1/2"],["-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","-1/2","-1/2","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","0"],["-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","1/2","1/2","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","0","0","0","1/2","1/2","1/2","0","0"],["-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","0","0","-1/2","-1/2","0","-1/2","0","0","1/2","0","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","-1/2"],["-1/2","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","-1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","0","0","-1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","-1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0"],["-1/2","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","1/2","0","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","0","-1/2","0","-1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","1/2"],["0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","1/2","-1/2","0","0","0","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","-1/2","-1/2","-1/2","-1/2","0","0","0","0","0","0","-1/2","-1/2","-1/2","1/2","1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","0","1/2","1/2","1/2","-1/2","-1/2","-1/2","0","0"],["0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","0","-1/2","0","1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","1/2","0","0","-1/2","1/2","1/2","1/2","0","0","-1/2","-1/2","0","-1/2","0","0","0","0","1/2","1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","1/2","1/2","0","0","-1/2","-1/2","0","0","1/2","1/2","0","0","1/2","-1/2","-1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2"],["0","-1/2","0","0","1/2","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","-1/2","1/2","0","1/2","1/2","0","-1/2","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","-1/2","0","0","0","1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","1/2","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","-1/2","0","-1/2","0","-1/2","0","1/2","0"],["0","-1/2","0","0","0","1/2","0","1/2","0","0","0","-1/2","0","0","0","1/2","-1/2","1/2","1/2","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","-1/2","0","0","1/2","1/2","1/2","0","0","0","-1/2","0","-1/2","-1/2","-1/2","1/2","1/2","0","0","0","1/2","0","-1/2","-1/2","1/2","1/2","0","1/2","0","0","0","-1/2","-1/2","-1/2","0","0","0","1/2","0","0","0","-1/2","0","0","1/2","0","0","0","-1/2","0","1/2","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","-1/2","-1/2","0","0","0","-1/2","0","1/2"],["0","0","-1/2","1/2","0","0","0","0","-1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","-1/2","0","0","0","-1/2","1/2","0","0","0","1/2","0","0","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","-1/2","0","0","-1/2","0","0","0","1/2","1/2","-1/2","-1/2","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2","0","0","1/2","1/2","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","0","0","1/2","-1/2","0","0","0","0","-1/2","-1/2","0","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","0","-1/2","-1/2","-1/2","-1/2"],["0","0","-1/2","0","1/2","0","0","0","-1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","0","-1/2","0","0","-1/2","-1/2","0","-1/2","0","0","-1/2","0","1/2","0","0","0","1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","1/2","0","0","-1/2","0","1/2","0","1/2","-1/2","0","-1/2","-1/2","0","-1/2","0","-1/2","0","-1/2","-1/2","0","-1/2","1/2","0","1/2","-1/2","0","-1/2","0","1/2","0","-1/2","0","0","0","0","-1/2","0","-1/2","0","0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","-1/2","0","0","1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","0","-1/2","1/2","0"],["0","0","-1/2","0","0","1/2","0","0","-1/2","0","0","-1/2","-1/2","0","0","1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","0","0","-1/2","0","0","1/2","0","0","0","1/2","-1/2","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","0","-1/2","0","1/2","0","0","-1/2","1/2","1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","-1/2","-1/2","1/2","1/2","0","0","-1/2","-1/2","1/2","0","0","-1/2","0","0","0","0","-1/2","0","0","-1/2","0","0","0","1/2","0","0","-1/2","0","0","-1/2","0","0","-1/2","0","1/2","0","0","-1/2","-1/2","0","0","-1/2","-1/2","-1/2","0","0","1/2"],["0","0","0","1/2","-1/2","0","0","0","0","-1/2","1/2","0","0","1/2","-1/2","0","0","-1/2","1/2","0","-1/2","0","0","-1/2","1/2","0","0","0","1/2","-1/2","0","0","1/2","-1/2","0","0","1/2","0","1/2","-1/2","0","0","-1/2","1/2","0","0","-1/2","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","1/2","-1/2","0","0","-1/2","1/2","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","0","0","0","0","-1/2","1/2","0","0","0","0","0","-1/2","1/2","0","0","0","0","-1/2","1/2","0","0","0","-1/2","1/2","0","0","-1/2","1/2","0","-1/2","1/2","0","0","-1/2"],["0","0","0","1/2","0","-1/2","0","0","0","-1/2","0","1/2","0","1/2","0","-1/2","0","-1/2","0","1/2","0","-1/2","-1/2","0","1/2","0","0","0","1/2","0","-1/2","0","1/2","0","-1/2","0","0","1/2","1/2","0","-1/2","-1/2","0","1/2","0","0","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","-1/2","0","1/2","1/2","0","-1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","-1/2","0","1/2","0","0","0","0","0","0","-1/2","0","1/2","0","0","0","0","-1/2","0","1/2","0","0","0","-1/2","0","1/2","0","0","-1/2","0","1/2","0","-1/2","0","1/2","-1/2","0","1/2","-1/2","0"]]}