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4x5x12_m174_ZT.json
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763 lines (763 loc) · 93.6 KB
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{
"n": [4, 5, 12],
"m": 174,
"z2": false,
"complexity": 2454,
"multiplications": [
"m1 = (-a24 + a25) * (b27 + b47)",
"m2 = (a21 - a24 + a25) * (-b21 + b23 - b41 + b43)",
"m3 = (a14 - a33 - a35 + a44) * (b48 + b411 + b58)",
"m4 = (a13 - a33 + a41) * (b110 - b111 - b37 + b310 - b311 - b510 + b511)",
"m5 = (-a13 - a31 + a33) * (b12 - b14 - b19 + b35)",
"m6 = (a11 - a14 + a15 - a31 + a34 - a35 + a41 - a44 + a45) * (-b12 + b14 - b16 + b17)",
"m7 = (-a12 + a14 + a22 + a32 - a34 - a42) * (-b22 + b23 + b24 + b25 + b43 + b45)",
"m8 = (a13 - a32 - a33 + a34 - a35) * (-b19 + b110 - b29 - b39 + b310 - b49 + b410)",
"m9 = (a13 + a15 - a33 - a35 + a43 + a45) * (-b111 + b42 - b49 + b410 + b52 - b59 + b510 + b511)",
"m10 = (a12 + a42) * (b28 + b211)",
"m11 = (a12 - a14) * (-b49 + b410 - b59 + b510)",
"m12 = (a11 - a13 - a21 + a23 - a31 + a33 + a41 - a43) * (b11 - b12 - b13 + b14)",
"m13 = (-a12 + a32 - a42) * (-b26 - b29 + b210 - b211 - b49 + b410)",
"m14 = (-a23 + a24 - a25) * (-b23 - b26 + b27 - b43 - b46 + b47)",
"m15 = (a11 - a13 - a31 + a33) * (-b12 + b14 + b19)",
"m16 = (-a11 - a15 + a33 + a35 - a41 - a45) * (b111 + b412 + b512)",
"m17 = (-a13 + a23 + a33 - a43) * (b11 - b13 - b19 + b110 - b111 + b31 - b33 - b39 + b310 - b311 - b51 + b53 + b59 - b510 + b511)",
"m18 = (a22 - a42) * (-b23 + b25 - b26 + b29 - b211 - b212 - b43 + b45 - b46 + b49 - b410 - b510 + b511 + b512)",
"m19 = (a33 - a34 + a35) * (b12 + b13 - b14 + b16 - b17 + b212 + b32 - b34 + b412)",
"m20 = (a15) * (-b17 + b18 - b37 + b38 + b410 + b57 - b58 + b510)",
"m21 = (a14 - a15 - a34 + a35 + a44 - a45) * (b13 - b36 + b37 + b56)",
"m22 = (-a21 - a22 + a24 - a25 + a41 + a42 - a44 + a45) * (b13 + b16 - b110 + b111)",
"m23 = (-a14 + a15 + a33 - a44 + a45) * (b13 + b16 - b18 + b37 - b38 + b58)",
"m24 = (a12 - a14 - a22 + a24 + a42 - a44) * (b48 + b58)",
"m25 = (-a12 + a14 - a35) * (-b22 + b23 + b24 + b25 - b49 + b410 - b59 + b510)",
"m26 = (-a12 + a32 - a42) * (-b29 + b210 - b49 + b410)",
"m27 = (-a35) * (-b111 - b311 - b42 + b43 + b44 + b45 + b49 - b410 - b52 + b53 + b54 + b55 + b59 - b510 + b511)",
"m28 = (-a11 + a14 - a15 + a31 - a34 + a35 - a41 + a44 - a45) * (b13)",
"m29 = (a45) * (b13 - b14 + b15 + b16 - b17 + b33 - b34 + b35 + b36 - b37 - b53 + b54 - b55 - b56 + b57)",
"m30 = (a12 - a14 + a15) * (-b29 - b49 + b410 - b59 + b510)",
"m31 = (-a12 + a22 - a24 + a25 + a32 - a42) * (-b16 + b17 + b27 - b36 + b37 + b47 + b56)",
"m32 = (a13 - a33 + a34 - a35 + a43) * (b12 - b14 + b22 + b32 - b34 + b42)",
"m33 = (-a22 + a24 - a25 + a45) * (-b13 + b14 - b15 - b16 + b17 - b33 + b34 - b35 - b36 + b37 + b47 + b53 - b54 + b55 + b56)",
"m34 = (a22 - a24) * (b43 - b44 + b45 + b46 + b53 - b54 + b55 + b56)",
"m35 = (a13 - a33 + a43) * (b37)",
"m36 = (a11 + a25 - a45) * (-b11 + b12 + b13 - b14 - b15 + b55)",
"m37 = (-a13 - a15 - a21 + a23 + a33 + a35 - a43 - a45) * (-b111 - b41 + b43 + b49 - b410 - b51 + b53 + b59 - b510 + b511)",
"m38 = (a22 + a23 - a24 + a25 - a43 - a45) * (-b13 - b16 + b17 - b33 + b34 - b35 - b36 + b37 - b43 - b46 + b47)",
"m39 = (a12 - a14 - a32 + a34) * (-b22 + b23 + b24 + b25)",
"m40 = (-a14 + a15 + a45) * (-b22 - b42 - b52 + b54)",
"m41 = (-a22 - a23 + a24 - a25) * (-b13 - b16 + b17 - b23 - b26 + b27 - b33 + b34 - b35 - b36 + b37 - b43 - b46 + b47)",
"m42 = (-a12 + a22 - a42) * (-b23 - b25 - b26 + b28 - b43 - b45 - b46 + b48)",
"m43 = (a11 + a15 + a41 + a42 - a44 + a45) * (b412 + b512)",
"m44 = (a42) * (b29 - b210 + b212 + b49 - b410 + b412 + b512)",
"m45 = (-a22 + a42) * (b22 - b24 - b29 + b210 - b49 + b410)",
"m46 = (a21 + a25) * (-b41 + b43 + b49 - b410 - b51 + b53 + b59 - b510 + b511)",
"m47 = (a11 + a15) * (b13 + b16 - b18 + b55)",
"m48 = (-a11 + a14 - a15 - a41 + a44 - a45) * (b212 + b412)",
"m49 = (-a21) * (b11 - b13 - b17 - b19 + b110 - b111 + b31 - b33 - b37 - b39 + b310 - b311 - b51 + b53 + b59 - b510 + b511)",
"m50 = (a25 - a45) * (b47 + b57)",
"m51 = (-a15 + a25 - a45) * (b41 - b43 - b49 + b410 + b51 - b53 - b59 + b510)",
"m52 = (a13 - a33 - a35) * (-b111 - b311 - b410 - b510 + b511)",
"m53 = (a33) * (b33)",
"m54 = (a21 - a23) * (-b31 + b33 + b37 + b39 - b310 + b311)",
"m55 = (a35) * (-b111 - b311 + b511)",
"m56 = (a32 - a34 + a35) * (-b19 + b110 - b22 + b23 + b24 + b25 - b39 + b310 - b49 + b410)",
"m57 = (a11) * (b12 - b14 - b15 - b19 + b55)",
"m58 = (-a24 + a44) * (b21 - b23 + b41 - b42 - b43 + b44)",
"m59 = (a21 + a25 - a41 - a45) * (b11 - b12 - b13 + b14 + b15 + b45)",
"m60 = (a21 + a22 - a24 + a25 - a42) * (b112 + b25 + b45)",
"m61 = (a13 - a23 - a32 - a33 + a34 - a35 + a43) * (-b19 + b110 - b21 + b23 - b39 + b310 - b49 + b410)",
"m62 = (a12 - a14 - a22 + a24 - a25 + a42 - a44 + a45) * (b17 - b18 + b37 - b38 + b47 + b58)",
"m63 = (-a14 + a15) * (-b29 - b49 - b52 + b54)",
"m64 = (a12 - a32 - a33 + a34 - a35 + a42) * (-b28 - b29 + b210 - b211 - b49 + b410)",
"m65 = (a32 + a33 - a34 + a35) * (-b19 + b110 - b28 - b29 + b210 - b211 - b212 - b39 + b310 - b49 + b410)",
"m66 = (a12 - a14 - a21 - a22 + a24 - a25 + a41 + a42 - a44 + a45) * (-b13 - b16 + b18 + b45)",
"m67 = (-a21 - a22 + a24 - a25 + a41 + a45) * (-b14 + b15 + b45)",
"m68 = (a34 - a35) * (-b12 + b14 - b22 + b23 + b24 + b25 - b32 + b34 - b42 + b43 + b44 + b45)",
"m69 = (a11 + a15 - a31 - a35 + a41 + a45) * (b111)",
"m70 = (-a12 + a14) * (b22 - b23 - b24 - b25 - b26 + b28)",
"m71 = (-a13 + a23 - a31 + a33 - a43) * (-b11 + b12 + b13 - b14 + b35)",
"m72 = (-a22 + a42) * (-b29 + b210 - b49 + b410)",
"m73 = (-a24 + a44) * (-b21 + b23 - b41 + b42 + b43 - b44 - b410 + b411 + b412 - b510 + b511 + b512)",
"m74 = (-a22) * (-b24 - b29 + b210 - b44 - b49 + b410)",
"m75 = (-a13 + a14 - a15 - a21 + a23 + a33 - a34 + a35 - a43 + a44 - a45) * (-b12 + b14 - b21 + b23 - b41 + b43)",
"m76 = (-a13 - a25 + a45) * (b13 + b16 - b17 + b31 - b32 + b34 + b35 + b36 - b37 - b53 - b56 + b57)",
"m77 = (-a21 + a23) * (-b13 - b16 + b17 - b31 + b33 + b37 + b39 - b310 + b311)",
"m78 = (-a13 + a14 - a15 + a33 - a34 + a35 - a43 + a44 - a45) * (b12 - b14 + b22 + b42)",
"m79 = (a12 - a22 - a32 + a42) * (b23 + b25 - b29 + b210 + b43 + b45 - b49 + b410)",
"m80 = (a43 - a44 + a45) * (b312)",
"m81 = (a13 - a23 - a33 + a34 - a35 + a43) * (-b12 + b14 - b21 + b23 - b32 + b34 - b41 + b43)",
"m82 = (-a12 + a22 - a24 - a42) * (-b211 + b48 + b58)",
"m83 = (-a11 + a14 - a15 - a41 + a44 - a45) * (-b17 + b18)",
"m84 = (-a33) * (-b18 - b112 - b38 - b312 + b58 + b512)",
"m85 = (-a41 - a42 + a44 - a45) * (-b29 - b49 + b410)",
"m86 = (a11 - a33 + a41) * (-b13 - b16 - b112 - b312 + b512)",
"m87 = (-a23 - a25 + a43 + a45) * (-b13 - b16 + b17 - b31 + b32 - b34 - b35 - b36 + b37 - b43 - b46 + b47)",
"m88 = (a42 - a44) * (b22 + b412 + b512)",
"m89 = (-a22 + a24) * (b211)",
"m90 = (-a33 + a34 - a35) * (-b12 - b13 + b14 - b16 + b17 + b28 + b29 - b210 + b211 - b32 + b34 + b48 + b49 - b410 + b411)",
"m91 = (-a13 - a43) * (-b34 + b35)",
"m92 = (a31 - a33) * (b35)",
"m93 = (-a12 + a14 + a22 + a23 - a24 + a25 + a32 - a34 - a42 - a43 + a44 - a45) * (-b13 - b16 + b17 - b36 + b37 - b43 - b46 + b47)",
"m94 = (a13 - a23 + a43) * (b31 - b32 - b33 + b34 + b35)",
"m95 = (-a11 - a41) * (-b112 - b312 + b512)",
"m96 = (a24) * (b211 + b411)",
"m97 = (a13 + a15 - a35) * (b13 + b16 - b17 + b36 - b37 - b53 - b56 + b57)",
"m98 = (-a42 + a44) * (b412 + b512)",
"m99 = (-a13 + a14 - a15 + a33 - a34 + a35 - a41 + a44 - a45) * (b12 - b14 + b29 + b49)",
"m100 = (-a12 + a22 - a24 + a25 - a42) * (b17 - b18 + b27 + b37 - b38 + b47 + b58)",
"m101 = (-a15 - a45) * (b42 - b49 + b410 + b52 - b59 + b510)",
"m102 = (a41 - a44 + a45) * (b112)",
"m103 = (a12 - a14 - a22 + a42) * (b22 - b23 - b24 - b25 - b26 + b28 - b43 - b45 - b46 + b48)",
"m104 = (a24 + a41 - a44 + a45) * (-b410 - b510 + b511)",
"m105 = (-a22 - a23 + a24 - a25 + a41 + a42 - a44 + a45) * (-b13 - b16 + b17 + b37 - b310 + b311)",
"m106 = (-a21 + a24 - a25) * (-b21 + b23 + b25 - b41 + b43 + b45)",
"m107 = (a13 + a21 - a23 - a33 + a43) * (b11 - b13 - b19 + b110 - b111 + b31 - b33 - b37 - b39 + b310 - b311 - b51 + b53 + b59 - b510 + b511)",
"m108 = (-a22 + a42) * (-b22 - b23 + b24 + b25 - b26 - b211 - b212 - b43 + b45 - b46 + b512)",
"m109 = (a21 + a22 - a24 + a25) * (b14 - b15 - b21 + b23 - b25 - b45 - b49 + b410)",
"m110 = (-a13 - a15) * (b13 + b16 - b17 - b37 + b38 - b53 - b56 + b57)",
"m111 = (a12 + a13 - a14 + a15 - a32 - a33 + a34 - a35 + a42 + a43 - a44 + a45) * (-b19 + b110 - b22 - b49 + b410)",
"m112 = (a13) * (b13 + b16 - b17 - b32 + b33 + b34 + b35 + b36 - b37 + b39 - b53 - b56 + b57)",
"m113 = (-a12 + a14 + a22 + a23 - a24 + a25 - a42 - a43 + a44 - a45) * (-b13 - b16 + b17 + b37 - b38 - b43 - b46 + b47)",
"m114 = (-a22 + a24 - a25 + a41 + a42 - a44 + a45) * (-b17 + b110 - b111 - b37 + b310 - b311 - b510 + b511)",
"m115 = (-a13 + a32 + a33 - a34 + a35 - a43) * (-b19 + b110 - b22 - b39 + b310 - b49 + b410)",
"m116 = (-a11 - a12 + a14 - a15 + a31 + a32 - a34 + a35 - a41 - a42 + a44 - a45) * (-b19 + b110)",
"m117 = (-a22 + a24 - a25 + a42 - a44 + a45) * (-b17 + b110 - b111 - b112 - b37 + b310 - b311 - b312 - b47 - b510 + b511 + b512)",
"m118 = (a12 - a22 - a23 + a24 - a25 + a42) * (-b13 - b16 + b17 - b23 - b26 + b27 + b37 - b38 - b43 - b46 + b47)",
"m119 = (-a31 + a33) * (-b18 - b19 + b110 - b111 - b112 + b35)",
"m120 = (-a14 + a15 - a25 + a45) * (-b21 + b23 - b41 + b43 - b52 + b54)",
"m121 = (-a11 - a15 + a35) * (b13 + b55)",
"m122 = (a11 + a41 - a44 + a45) * (-b112 - b312 + b512)",
"m123 = (-a12 + a14 + a22 - a24 + a32 - a34 - a42 + a44) * (b46 + b56)",
"m124 = (-a22 + a44) * (b22 + b44)",
"m125 = (-a15) * (b410 + b510)",
"m126 = (a12 - a22 + a24 - a32 + a42) * (-b211 + b46 + b56)",
"m127 = (-a14 + a35) * (-b22 + b23 + b24 + b25 - b42 + b43 + b44 + b45 - b52 + b54)",
"m128 = (a13 - a45) * (b13 + b16 - b17 + b33 - b34 + b35 + b36 - b37 - b53 - b56 + b57)",
"m129 = (a22 - a24 + a25 - a42) * (-b112 - b27 - b312 - b47 + b512)",
"m130 = (a11 - a14 + a15 + a41 - a44 + a45) * (-b13 - b16 + b18)",
"m131 = (-a13 + a33) * (b110 - b111 + b310 - b311 - b510 + b511)",
"m132 = (a12 - a14 - a21 - a22 + a24 - a25 - a32 + a34 + a41 + a42 - a44 + a45) * (-b13 + b45)",
"m133 = (a12 - a14 - a22 + a24 - a25 - a32 + a34 + a42 - a44 + a45) * (-b16 + b17 - b36 + b37 + b47 + b56)",
"m134 = (a21 + a22 - a24 + a25) * (-b14 + b15 + b25 + b45)",
"m135 = (-a14 + a34 - a44) * (b46 + b411 + b56)",
"m136 = (-a12 - a13 + a14 - a15 - a21 + a23 + a32 + a33 - a34 + a35 - a42 - a43 + a44 - a45) * (-b19 + b110 - b21 + b23 - b49 + b410)",
"m137 = (-a11 + a13 - a41 + a44 - a45) * (b312)",
"m138 = (a22) * (-b29 + b210 - b49 + b410)",
"m139 = (-a12 + a21 + a22 - a24 + a25 - a42) * (-b13 - b16 + b18 + b25 + b45)",
"m140 = (-a12 + a21 + a22 - a24 + a25 + a32 - a42) * (-b13 + b25 + b45)",
"m141 = (a22 + a23 - a24 + a25 - a42) * (-b23 - b26 + b27 + b312 - b43 - b46 + b47)",
"m142 = (a21 + a22 - a24 + a25 - a41 - a42 + a44 - a45) * (b13 + b16 - b110 + b111 + b112 + b45)",
"m143 = (-a12 - a13 + a14 - a15 + a32 + a33 - a34 + a35 - a41 - a42 + a44 - a45) * (-b19 + b110 - b29 - b49 + b410)",
"m144 = (a11 - a13 - a31 + a33 + a41 - a43) * (b14)",
"m145 = (a13 - a23 - a33 - a35 + a43) * (-b111 - b311 - b41 + b43 + b49 - b410 - b51 + b53 + b59 - b510 + b511)",
"m146 = (-a13 - a15 + a33 + a35 - a41 - a45) * (-b111 - b410 - b510 + b511)",
"m147 = (-a15 + a35) * (b16 - b17 + b36 - b37 - b56 + b57)",
"m148 = (a13 - a14 + a15 + a43 - a44 + a45) * (-b37 + b38)",
"m149 = (-a11 - a12 + a14 - a15 + a32 + a33 - a34 + a35 - a41 - a42 + a44 - a45) * (b19 - b110 + b212)",
"m150 = (-a31 + a33) * (b12 - b14 - b17 - b19 + b110 - b111 - b112 + b35)",
"m151 = (-a22 + a24 + a42 - a44) * (-b21 + b23)",
"m152 = (-a13 + a33 + a35 - a43) * (-b111 - b311 + b42 - b49 + b410 + b52 - b59 + b510 + b511)",
"m153 = (a12 - a22 - a23 + a24 - a25 - a32 + a42) * (-b13 - b16 + b17 - b23 - b26 + b27 - b36 + b37 - b43 - b46 + b47)",
"m154 = (a41 - a43) * (b37 - b310 + b311)",
"m155 = (a11 - a14 + a15 - a31 + a34 - a35 + a41 - a44 + a45) * (-b12 + b14)",
"m156 = (-a22 - a23 + a24 - a25 + a42 + a43 - a44 + a45) * (-b13 - b16 + b17 + b37 - b310 + b311 + b312 - b43 - b46 + b47)",
"m157 = (a24 - a42) * (-b211 + b412 + b512)",
"m158 = (a11 + a12 - a14 + a15 + a41 + a42 - a44 + a45) * (b212)",
"m159 = (a33 + a35) * (b111 + b311 + b48 + b411 + b412 + b58 + b512)",
"m160 = (a11 - a31 + a41) * (b13 + b16)",
"m161 = (a31) * (b13 + b15 + b35)",
"m162 = (a13 - a14 + a15 - a33 + a34 - a35 + a43 - a44 + a45) * (b12 - b14 + b22 - b36 + b37 + b42)",
"m163 = (-a13) * (b13 + b16 - b17 + b33 + b36 - b37 - b53 - b56 + b57)",
"m164 = (-a11 + a45) * (b14 - b15 + b55)",
"m165 = (a14) * (-b22 + b23 + b24 + b25 + b26 - b28 - b42 + b43 + b44 + b45 + b46 - b48 - b52 + b54)",
"m166 = (a13 - a33 + a34 - a35) * (b12 - b14 + b29 + b32 - b34 + b49)",
"m167 = (-a25 + a45) * (-b11 + b12 - b14 - b15 - b16 + b17 - b31 + b32 - b34 - b35 - b36 + b37 + b47 + b51 - b52 + b54 + b55 + b56)",
"m168 = (a12 - a14 + a15 - a25 + a45) * (-b21 + b23 - b49 + b410 - b59 + b510)",
"m169 = (a22 - a24 + a25) * (-b13 + b14 - b15 - b16 + b17 + b27 - b33 + b34 - b35 - b36 + b37 + b47 + b53 - b54 + b55 + b56)",
"m170 = (a13 + a31 - a33 + a43) * (b14 + b35)",
"m171 = (a13 - a33 + a43) * (-b12 + b19 - b110 - b111 - b32 - b37 + b39 - b310 - b311 + b52 - b59 + b510 + b511)",
"m172 = (-a41 + a44 - a45) * (b112 + b29 + b49)",
"m173 = (a11 - a14 + a15 - a33 + a34 - a35 + a41 - a44 + a45) * (b12 + b13 - b14 + b16 - b17 + b212 + b412)",
"m174 = (-a12 + a14 - a15 - a45) * (-b22 - b49 + b410 - b59 + b510)"
],
"elements": [
"c11 = m5 + m15 + m19 + m22 - m25 - m27 - m36 + m42 - m45 - m47 + m48 - m50 - m51 - m55 + m57 - m60 - m63 + m66 + m72 - m76 + m83 + m92 - m97 + m99 + m103 + m120 - m121 - m127 + m139 + m142 - m147 - m165 + m166 - m167 - m168 - m172 + m173",
"c12 = -m5 + m11 - m15 + m19 - m29 + m40 + m48 - m57 - m63 + m83 - m92 + m99 - m101 - m102 - m128 + m130 - m163 - m164 + m166 - m172 + m173 + m174",
"c13 = -m11 + m22 - m25 - m27 + m42 - m45 - m47 - m55 - m60 + m66 + m72 - m97 + m102 + m103 - m121 - m127 - m130 + m139 + m142 - m147 - m163 - m165",
"c14 = -m5 + m11 - m15 - m29 + m40 - m42 + m45 - m57 - m72 - m92 - m101 - m103 - m128 - m163 - m164 + m165 + m174",
"c15 = -m5 - m15 - m22 + m47 - m57 + m60 - m66 - m92 - m102 + m130 - m139 - m142",
"c16 = -m4 + m11 + m20 - m22 + m23 + m25 + m27 - m42 + m45 + m47 + m55 + m60 - m62 - m66 - m72 + m80 + m84 - m86 + m97 - m100 - m102 - m103 + m105 + m110 - m113 + m114 - m117 - m118 + m121 + m122 + m125 + m127 - m129 + m130 - m131 - m139 - m141 - m142 + m147 + m148 - m154 - m156 + m165",
"c17 = -m4 + m20 + m23 - m62 + m83 + m84 - m86 - m100 + m114 - m117 + m122 + m125 - m129 + m130 - m131",
"c18 = -m4 - m22 + m23 - m42 + m45 + m60 - m62 - m66 - m70 - m72 + m80 + m84 - m86 - m100 - m102 - m103 + m105 - m113 + m114 - m117 - m118 + m122 - m129 + m130 - m131 - m139 - m141 - m142 + m148 - m154 - m156",
"c19 = m5 + m11 + m15 + m19 - m30 + m48 + m83 + m92 + m99 - m102 + m112 - m125 + m130 + m163 + m166 - m172 + m173",
"c110 = m5 + m8 + m10 + m15 + m19 + m48 + m64 + m65 - m72 + m83 - m85 + m92 + m99 - m102 + m112 - m125 + m130 - m138 + m143 + m149 + m158 + m163 + m166 - m172 + m173",
"c111 = m3 - m16 + m24 - m43 - m52 - m58 - m73 + m82 - m89 - m96 - m104 - m125 - m146 - m157 + m159",
"c112 = m43 - m44 + m48 - m72 - m102 - m122 + m137 - m138 + m158",
"c21 = m9 - m13 + m17 + m29 - m31 + m33 + m35 + m37 + m38 + m41 + m50 + m51 + m54 + m61 + m76 - m79 + m87 + m88 - m89 + m91 + m94 + m98 + m101 - m106 + m107 + m111 + m115 - m126 + m128 + m136 - m138 - m140 + m145 + m151 + m152 - m153 + m168 + m169 + m174",
"c22 = m2 + m12 + m29 + m32 + m33 + m34 + m36 + m38 - m40 + m50 + m58 + m59 + m67 + m71 + m75 + m76 + m78 + m81 + m87 + m91 + m94 + m120 - m124 + m128 + m144 + m164 + m170",
"c23 = -m2 - m13 + m29 - m31 + m33 + m38 + m41 + m50 + m76 - m79 + m87 - m89 + m91 + m94 - m106 - m126 + m128 - m138 - m140 - m153 + m169",
"c24 = m12 + m29 + m33 + m34 + m36 + m38 + m50 + m59 + m67 + m71 + m74 + m76 + m87 + m91 + m94 + m128 + m138 + m144 + m164 + m170",
"c25 = m2 + m12 + m36 + m59 + m67 + m71 + m106 + m134 + m144 + m164 + m170",
"c26 = -m1 + m2 + m13 - m14 + m17 + m31 + m35 + m49 + m54 + m77 + m79 + m89 + m106 + m107 + m126 + m138 + m140 + m153",
"c27 = -m1 + m17 + m29 + m33 + m35 + m49 + m50 + m107 + m169",
"c28 = -m1 + m2 + m10 - m14 + m17 + m35 + m42 + m49 + m54 + m77 - m82 + m89 + m100 + m106 + m107 + m118 + m139",
"c29 = m9 + m17 + m18 + m22 + m35 + m37 + m45 + m46 + m49 + m51 + m54 + m61 - m72 + m77 + m85 + m88 + m98 + m101 + m102 - m104 + m105 + m107 + m108 + m109 + m111 + m114 + m115 + m134 + m136 + m145 + m151 + m152 + m168 + m172 + m174",
"c210 = m9 + m17 + m18 + m22 + m35 + m37 + m45 + m46 + m49 + m51 + m54 - m72 + m77 + m85 + m101 + m102 - m104 + m105 + m107 + m108 + m114 + m138 + m145 + m152 + m172",
"c211 = m9 + m37 + m46 + m51 - m89 + m96 + m101 + m145 + m152",
"c212 = m1 + m2 + m14 + m44 + m45 + m60 + m89 + m106 + m108 + m129 + m138 + m141 + m157",
"c31 = -m7 + m17 + m19 - m26 - m27 + m28 + m42 - m47 + m48 + m53 + m56 + m61 + m66 + m71 - m79 - m81 + m83 + m92 + m94 + m103 - m121 - m127 - m132 - m138 + m139 - m140 + m145 + m155 - m165 + m173",
"c32 = m11 + m19 + m25 + m32 + m35 + m39 + m48 - m55 + m56 + m83 + m91 - m92 - m115 + m130 + m152 + m155 + m170 + m171 + m173",
"c33 = -m7 - m11 - m25 - m26 - m27 + m28 - m39 + m42 - m47 + m53 - m55 + m66 - m79 + m103 - m121 - m127 - m130 - m132 - m138 + m139 - m140 - m165",
"c34 = m7 + m11 + m25 + m26 + m32 + m35 + m39 - m42 - m55 + m56 + m68 + m79 + m91 - m92 - m103 - m115 + m127 + m138 + m152 + m165 + m170 + m171",
"c35 = -m28 + m47 - m66 - m92 + m121 + m130 + m132 - m139 + m140 + m161",
"c36 = m7 + m11 + m20 + m21 + m23 + m25 + m26 + m27 - m28 + m31 + m39 - m42 + m47 + m55 - m62 - m66 + m78 + m79 + m84 - m86 + m93 - m95 + m97 - m100 - m103 + m110 - m113 - m118 + m121 + m125 + m127 + m130 + m132 + m133 + m138 - m139 + m140 + m147 + m148 + m153 - m160 + m162 + m165",
"c37 = -m6 + m20 + m21 + m23 - m28 + m31 - m62 + m83 + m84 - m86 - m95 - m100 + m125 + m130 + m133 + m147 + m155 - m160",
"c38 = -m3 - m6 + m10 - m19 - m24 + m26 - m28 - m48 + m64 - m82 + m84 - m86 + m90 - m95 + m119 - m123 - m126 - m135 - m150 - m160 - m173",
"c39 = m5 + m8 + m11 + m19 + m25 + m39 + m48 + m52 + m55 + m56 + m83 + m92 + m112 + m130 + m131 + m155 + m163 + m166 + m173",
"c310 = m5 + m8 + m10 + m19 + m26 + m48 + m52 + m55 + m64 + m65 + m83 + m92 + m112 + m116 + m130 + m131 + m149 + m155 + m158 + m163 + m166 + m173",
"c311 = m3 - m16 + m24 - m43 + m55 - m69 + m82 - m98 + m123 + m126 + m135 + m159",
"c312 = m6 + m16 + m28 + m43 + m48 + m69 + m86 + m92 + m95 + m98 + m116 + m149 + m150 + m158 + m160 + m173",
"c41 = -m5 - m7 + m9 + m12 - m13 - m15 + m17 - m22 + m29 - m31 + m33 + m35 + m36 + m37 + m38 - m39 + m41 + m45 + m50 + m51 + m54 - m57 + m60 + m61 + m63 + m71 - m72 - m75 + m76 - m79 - m81 + m88 - m89 + m91 - m93 + m94 + m98 - m99 + m101 + m107 + m111 + m115 - m120 - m123 - m126 + m128 - m132 - m133 + m136 - m138 - m140 - m142 + m145 + m152 - m153 - m166 + m167 + m168 + m169 + m172 + m174",
"c42 = m5 + m15 + m29 + m32 - m40 + m57 + m63 + m78 + m88 + m91 + m98 - m99 + m102 + m128 + m144 + m163 + m164 - m166 + m170 + m172",
"c43 = -m7 - m13 - m22 + m29 - m31 + m33 + m38 - m39 + m41 + m45 + m60 - m72 - m79 - m89 + m91 - m93 - m102 - m123 - m126 + m128 - m132 - m133 - m138 - m140 - m142 - m153 + m163 + m169",
"c44 = m5 + m15 + m29 - m45 + m57 + m72 + m74 + m88 + m91 + m98 + m124 + m128 + m138 + m144 + m163 + m164 + m170",
"c45 = m5 + m15 + m22 + m57 - m60 + m67 + m102 + m134 + m142 + m144 + m164 + m170",
"c46 = m4 + m7 + m13 + m22 + m31 + m35 + m39 - m45 - m60 + m72 + m79 - m80 + m89 + m93 - m95 + m102 - m105 - m114 + m117 - m122 + m123 + m126 + m129 + m131 + m132 + m133 + m138 + m140 + m141 + m142 + m153 + m154 + m156",
"c47 = m4 + m29 + m33 + m35 - m95 - m114 + m117 - m122 + m129 + m131 + m169",
"c48 = m4 + m10 + m22 - m24 + m35 + m42 - m45 - m60 + m62 + m66 + m70 + m72 - m80 - m82 + m89 - m95 + m100 + m102 + m103 - m105 + m113 - m114 + m117 + m118 - m122 + m129 + m131 + m139 + m141 + m142 + m154 + m156",
"c49 = m4 + m8 + m9 + m30 + m35 + m52 + m88 + m98 + m101 + m102 + m111 + m115 + m125 + m131 + m143 + m146 + m152 + m154 + m172 + m174",
"c410 = m4 + m9 + m35 + m52 + m72 + m85 + m101 + m102 + m125 + m131 + m138 + m146 + m152 + m154 + m172",
"c411 = m9 + m52 + m58 + m73 + m96 - m98 + m101 + m104 + m125 + m146 + m152 + m157",
"c412 = m44 + m72 + m80 + m95 + m98 + m102 + m122 + m138"
],
"u": [
[0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0],
[0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 1, 0, 0, -1, 1],
[0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 1],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, -1, 0, 0],
[0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, -1],
[0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, -1],
[0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1],
[0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1],
[0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0],
[0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[-1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, -1, 0, 0, 1, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 1, 0, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, 0, -1],
[0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1],
[0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1],
[0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, -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, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0],
[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, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1],
[0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 1, -1, 0, 0, 1, 0, 0],
[0, 1, 0, -1, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 1],
[0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, 0, 0, 0, 0, 0],
[0, 1, 0, -1, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1],
[0, 0, 0, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 0, 0, 0, 1],
[0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
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],
"invariant_f": "2x^3y^2z^2 + 2x^2y^3z^2 + 2x^2y^2z^3 + x^3y^2z + x^2y^3z + x^3yz^2 + 390x^2y^2z^2 + xy^3z^2 + x^2yz^3 + xy^2z^3 + 16x^3yz + 14x^2y^2z + 16xy^3z + 14x^2yz^2 + 14xy^2z^2 + 16xyz^3 + 138x^2yz + 138xy^2z + 138xyz^2 + 138xyz",
"invariant_g": "w^296 + w^284 + w^243",
"type": "X^2Y^3Z^2 + 65X^2Y^2Z^2 + XY^3Z^2 + 6XY^3Z + 7XY^2Z^2 + 2XYZ^3 + 3X^2YZ + 34XY^2Z + 32XYZ^2 + 23XYZ"
}