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4x5x11_m160_ZT.json
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703 lines (703 loc) · 81.1 KB
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{
"n": [4, 5, 11],
"m": 160,
"z2": false,
"complexity": 2192,
"multiplications": [
"m1 = (a12 - a21 + a22 + a24 + a25 - a32 - a42) * (-b13 - b25 + b45)",
"m2 = (-a12 - a22 + a23 - a24 - a25 + a32 + a42) * (-b13 + b16 + b17 + b23 - b26 - b27 + b36 + b37 - b43 + b46 + b47)",
"m3 = (-a12 + a13 - a14 - a15 - a21 + a23 + a32 - a33 + a34 + a35 + a42 - a43 + a44 + a45) * (-b19 + b110 + b21 - b23 - b49 + b410)",
"m4 = (-a21 + a22 + a24 + a25 - a42) * (-b13 + b16 - b25 + b45)",
"m5 = (a12 + a22 + a24 + a25 - a32 - a42) * (b16 + b17 - b27 + b36 + b37 + b47 + b56)",
"m6 = (-a12 - a14 - a15) * (-b29 + b49 - b410 - b59 + b510)",
"m7 = (a12 + a22 + a24 - a42) * (b211 - b48 + b58)",
"m8 = (-a41 + a44 + a45) * (-b13 + b16 - b29 + b49)",
"m9 = (-a12 - a14) * (-b22 + b23 + b24 + b25 - b26 - b28 + b49 - b410 - b59 + b510)",
"m10 = (a22 + a44) * (-b22 + b44)",
"m11 = (-a15) * (-b17 + b18 - b37 + b38 - b57 + b58)",
"m12 = (a24 - a44) * (-b21 + b23 + b211 + b41 - b42 - b43 + b44 + b410 - b411 - b510 + b511)",
"m13 = (a11 - a13 + a21 - a23 - a31 + a33 - a41 + a43) * (b11 - b12 - b13 + b14)",
"m14 = (a12 - a13 + a14 + a15 - a32 + a33 - a34 - a35 - a42 + a43 - a44 - a45) * (-b19 + b110 + b22 - b49 + b410)",
"m15 = (a35) * (b111 + b311 + b511)",
"m16 = (a24) * (-b211 + b411)",
"m17 = (-a12 - a22 + a32 + a42) * (-b23 - b25 + b43 + b45)",
"m18 = (-a11 + a14 + a15 + a41 - a44 - a45) * (b13 - b16 - b18 + b29 - b210 - b49 + b410)",
"m19 = (a12 - a13 + a14 + a15 - a32 + a33 - a34 - a35 + a41 - a42 - a44 - a45) * (-b19 + b110 + b29 - b49 + b410)",
"m20 = (-a11 + a13 + a31 - a33 - a43 + a44 + a45) * (-b13 + b16 + b17 + b37)",
"m21 = (-a13 + a14 + a15 + a33 - a34 - a35 + a41 - a44 - a45) * (b12 - b14 - b29 + b49)",
"m22 = (a11 - a13 - a31 + a33 - a41 + a43) * (-b13 - b14 + b16 + b17)",
"m23 = (-a11 + a14 + a15 + a31 - a34 - a35 + a41 - a44 - a45) * (b13)",
"m24 = (a15 + a25 - a45) * (-b41 + b43 + b49 - b410 + b51 - b53 - b59 + b510)",
"m25 = (-a11 + a15 - a35) * (-b13 + b55)",
"m26 = (-a13 + a14 + a15 + a33 - a34 - a35 + a43 - a44 - a45) * (-b13 + b16 + b17 + b36 + b37)",
"m27 = (a45) * (-b13 - b14 + b15 + b16 + b17 - b33 - b34 + b35 + b36 + b37 - b53 - b54 + b55 + b56 + b57)",
"m28 = (-a12 - a14 - a22 - a24 + a42 + a44) * (-b48 + b58)",
"m29 = (-a31 + a33) * (b35)",
"m30 = (-a22 + a42) * (b210)",
"m31 = (-a12 - a14 + a21 - a22 - a24 - a25 + a32 + a34 - a41 + a42 + a44 + a45) * (-b13 + b45)",
"m32 = (a22 - a23 + a24 + a25 + a43 - a45) * (-b13 + b16 + b17 - b33 - b34 + b35 + b36 + b37 - b43 + b46 + b47)",
"m33 = (-a22) * (b29 - b210 - b49 + b410)",
"m34 = (a11 + a25 - a45) * (-b11 + b12 + b13 - b14 + b15 + b55)",
"m35 = (a12 + a14 + a15 - a45) * (-b22 + b49 - b410 - b59 + b510)",
"m36 = (a13 - a33 - a41) * (-b110 + b111 - b510 + b511)",
"m37 = (a12 + a22 + a24 + a25 - a42) * (-b17 + b18 + b27 - b37 + b38 - b47 + b58)",
"m38 = (a13 - a33 + a35) * (b111 + b311 + b410 - b510 + b511)",
"m39 = (-a14 + a34 + a44) * (-b46 + b411 + b56)",
"m40 = (a13 + a32 - a33 + a34 + a35 - a43) * (-b19 + b110 + b22 - b39 + b310 - b49 + b410)",
"m41 = (a21 - a24 - a25) * (b21 - b25 - b26 - b27 - b41 + b45 + b46 + b47)",
"m42 = (-a21 + a25) * (b41 - b43 - b49 + b410 - b51 + b53 + b59 - b510 + b511)",
"m43 = (a31 - a34 - a35) * (-b48 + b411)",
"m44 = (-a21 + a22 + a24 + a25 + a41 - a45) * (-b14 + b15 + b45)",
"m45 = (-a13 - a23 - a32 + a33 - a34 - a35 + a43) * (-b19 + b110 + b21 - b23 - b39 + b310 - b49 + b410)",
"m46 = (a12 + a14 + a22 - a32 - a34 - a42) * (-b22 - b23 + b24 - b25 + b43 + b45)",
"m47 = (a25 - a45) * (-b47 + b57)",
"m48 = (a21 - a24 - a25 - a41 + a44 + a45) * (-b11 + b13 + b19 - b31 + b33 + b39 - b51 + b53 + b59 - b510 + b511)",
"m49 = (a22 - a41 + a44 + a45) * (b29 - b49 + b410)",
"m50 = (a21 - a23) * (-b13 + b16 + b17 + b23 - b26 - b27 + b31 - b33 - b39 - b43 + b46 + b47)",
"m51 = (-a15 + a35) * (b16 + b17 + b36 + b37 + b56 + b57)",
"m52 = (a13 + a23 - a33 + a35 - a43) * (b111 + b311 + b41 - b43 - b49 + b410 - b51 + b53 + b59 - b510 + b511)",
"m53 = (a15) * (-b17 + b18 - b37 + b38 - b410 - b57 + b58 + b510)",
"m54 = (a13) * (-b13 + b16 + b17 - b33 + b36 + b37 - b53 + b56 + b57)",
"m55 = (a13 + a25 - a45) * (-b13 + b16 + b17 - b31 + b32 - b34 + b35 + b36 + b37 - b53 + b56 + b57)",
"m56 = (-a22 - a24) * (-b211 + b43 + b44 - b45 - b46 - b53 - b54 + b55 + b56)",
"m57 = (a12 - a32 - a42) * (-b26 + b211)",
"m58 = (-a13 + a15 + a21 - a23 + a33 - a35 + a43 - a45) * (b111 + b41 - b43 - b49 + b410 - b51 + b53 + b59 - b510 + b511)",
"m59 = (a31 - a33) * (b111 + b38 - b48 + b411 + b58)",
"m60 = (a13 - a14 - a15 - a21 + a23 - a33 + a34 + a35 - a43 + a44 + a45) * (-b12 + b14 + b21 - b23 - b41 + b43)",
"m61 = (-a12 - a14 - a22 - a24 - a25 + a42 + a44 + a45) * (-b17 + b18 - b37 + b38 - b47 + b58)",
"m62 = (a12 + a22 - a23 + a24 + a25 - a42) * (-b13 + b16 + b17 + b23 - b26 - b27 + b37 - b38 - b43 + b46 + b47)",
"m63 = (a13 - a33 - a43) * (-b12 + b19 - b110 + b111 - b32 + b39 - b310 + b311 - b52 + b59 - b510 + b511)",
"m64 = (a35) * (b111 + b311 - b42 - b43 + b44 - b45 - b49 + b410 + b52 + b53 - b54 + b55 + b59 - b510 + b511)",
"m65 = (a14 + a15 - a31 - a44 - a45) * (-b17 + b18 - b37 + b38 + b58)",
"m66 = (-a12 - a22 - a24 + a32 + a42) * (b211 - b46 + b56)",
"m67 = (a13 - a43) * (-b34 + b35)",
"m68 = (-a22 - a24 - a25 + a42 + a44 + a45) * (b17 + b37 + b47)",
"m69 = (-a13 - a23 + a33 + a43) * (-b11 + b13 + b19 - b110 + b111 - b31 + b33 + b39 - b310 + b311 - b51 + b53 + b59 - b510 + b511)",
"m70 = (-a24 - a41 + a44 + a45) * (b410 - b510 + b511)",
"m71 = (-a12 - a14 - a22 + a23 - a24 - a25 + a42 - a43 + a44 + a45) * (-b13 + b16 + b17 + b37 - b38 - b43 + b46 + b47)",
"m72 = (a41 - a44 - a45) * (-b13 + b16)",
"m73 = (a13 - a15 + a35) * (-b13 + b16 + b17 + b36 + b37 - b53 + b56 + b57)",
"m74 = (-a33 + a34 + a35) * (-b12 + b14 + b29 - b210 - b32 + b34 - b49 + b410)",
"m75 = (a14 + a35) * (-b22 - b23 + b24 - b25 + b42 + b43 - b44 + b45 - b52 + b54)",
"m76 = (-a13 - a23 + a43) * (-b31 + b32 + b33 - b34 + b35)",
"m77 = (-a11 + a13 + a31 - a33) * (b12 - b14 - b19 + b37)",
"m78 = (a21 - a23) * (-b31 + b33 + b39)",
"m79 = (a13 - a14 - a15 + a31 - a33 - a43 + a44 + a45) * (b13 - b16 - b17 - b37 + b38)",
"m80 = (a42 + a44) * (b22)",
"m81 = (a12 + a14) * (b49 - b410 - b59 + b510)",
"m82 = (-a12 + a21 - a22 - a24 - a25 + a42) * (-b13 + b16 + b18 - b25 + b45)",
"m83 = (-a11 + a45) * (-b14 + b15 + b55)",
"m84 = (a14 + a15 - a45) * (-b22 + b42 - b52 + b54)",
"m85 = (a13 - a14 - a15 - a33 + a34 + a35 - a43 + a44 + a45) * (b12 - b13 - b14 + b16 + b17 - b22 + b36 + b37 + b42)",
"m86 = (a21 - a22 - a24 - a25 - a41 + a42 + a44 + a45) * (-b13 + b16 + b45)",
"m87 = (-a22 - a24 + a42 + a44) * (b211)",
"m88 = (a12 + a14 - a21 + a22 + a24 + a25 + a41 - a42 - a44 - a45) * (-b13 + b16 + b18 + b45)",
"m89 = (a22 - a42) * (-b22 + b23 + b24 + b25 - b26 + b210 - b43 - b45 + b46)",
"m90 = (a13 - a33 + a34 + a35) * (b12 - b14 - b29 + b32 - b34 + b49)",
"m91 = (a11 - a13) * (b37)",
"m92 = (-a14) * (-b22 + b23 + b24 + b25 - b26 - b28 + b42 - b43 - b44 - b45 + b46 + b48 - b52 + b54)",
"m93 = (a12 + a14 + a22 - a42) * (-b22 + b23 + b24 + b25 - b26 - b28 - b43 - b45 + b46 + b48)",
"m94 = (a22 - a23 + a24 + a25) * (-b13 + b16 + b17 + b23 - b26 - b27 - b33 - b34 + b35 + b36 + b37 - b43 + b46 + b47)",
"m95 = (a11 - a14 - a15 - a31 + a34 + a35 - a41 + a44 + a45) * (-b12 + b14)",
"m96 = (a21 - a25 - a41 + a45) * (-b11 + b12 + b13 - b14 + b15 + b45)",
"m97 = (a25 - a45) * (-b11 + b12 - b14 + b15 + b16 + b17 - b31 + b32 - b34 + b35 + b36 + b37 + b47 - b51 + b52 - b54 + b55 + b56)",
"m98 = (-a21 + a24 + a25) * (b21 - b26 - b27 - b41 + b46 + b47)",
"m99 = (-a13) * (-b13 + b16 + b17 + b32 - b33 - b34 + b35 + b36 - b39 - b53 + b56 + b57)",
"m100 = (a11 - a15 - a31 + a35 - a41 + a45) * (b111)",
"m101 = (-a11 + a13 + a31 - a33 + a41 - a43) * (-b13 + b16 + b17)",
"m102 = (a14 - a31 + a35 - a44) * (-b48 + b411 + b58)",
"m103 = (-a13 + a15 + a33 - a35 + a41 - a45) * (b111 + b410 - b510 + b511)",
"m104 = (a33) * (b33)",
"m105 = (a11 - a15) * (-b13 + b16 + b18 + b55)",
"m106 = (-a13 + a33 - a35 + a43) * (b111 + b311 + b42 - b49 + b410 - b52 + b59 - b510 + b511)",
"m107 = (-a32 - a34 - a35) * (-b19 + b110 - b22 - b23 + b24 - b25 - b39 + b310 - b49 + b410)",
"m108 = (a11 - a14 - a15 - a41 + a44 + a45) * (b29 - b210 - b49 + b410)",
"m109 = (-a13 + a45) * (-b13 + b16 + b17 - b33 - b34 + b35 + b36 + b37 - b53 + b56 + b57)",
"m110 = (a14 + a15 - a34 - a35 - a44 - a45) * (b16 + b17 + b36 + b37 + b56)",
"m111 = (a12 + a14 + a22 - a23 + a24 + a25 - a32 - a34 - a42 + a43 - a44 - a45) * (-b13 + b16 + b17 + b36 + b37 - b43 + b46 + b47)",
"m112 = (a22 - a23 + a24 + a25 - a42 + a43 - a44 - a45) * (-b13 + b16 + b17 + b37 - b43 + b46 + b47)",
"m113 = (a12 - a42) * (-b28 + b211)",
"m114 = (-a11 + a14 + a15 + a33 - a34 - a35 + a41 - a44 - a45) * (-b12 + b14 + b29 - b210 - b49 + b410)",
"m115 = (a22 + a24 + a25 - a45) * (-b13 - b14 + b15 + b16 + b17 - b33 - b34 + b35 + b36 + b37 + b47 - b53 - b54 + b55 + b56)",
"m116 = (-a32) * (-b28 + b211)",
"m117 = (a13 + a23 + a31 - a33 - a43) * (b11 - b12 - b13 + b14 + b35)",
"m118 = (a11 - a31 - a44 - a45) * (b17 + b37)",
"m119 = (a22 + a24 + a25 - a42) * (b17 - b27 + b37 + b47)",
"m120 = (a13 - a21 + a23 - a33 - a43) * (-b11 + b13 + b19 - b110 + b111 - b31 + b33 + b39 - b51 + b53 + b59 - b510 + b511)",
"m121 = (a23 - a25 - a43 + a45) * (-b13 + b16 + b17 - b31 + b32 - b34 + b35 + b36 + b37 - b43 + b46 + b47)",
"m122 = (a13 - a15 - a33 + a35 - a43 + a45) * (b111 + b42 - b49 + b410 - b52 + b59 - b510 + b511)",
"m123 = (-a14 - a15 - a25 + a45) * (-b21 + b23 + b41 - b43 - b52 + b54)",
"m124 = (-a12 - a14 - a35) * (b22 + b23 - b24 + b25 + b49 - b410 - b59 + b510)",
"m125 = (a31) * (b13 + b15 + b35)",
"m126 = (a33 - a35) * (b111 + b311 - b48 + b411 + b58)",
"m127 = (a11 - a12 - a14 - a15 + a32 - a33 + a34 + a35 - a41 + a42 + a44 + a45) * (-b19 + b110 + b29 - b210 - b49 + b410)",
"m128 = (a22 + a24) * (b43 + b44 - b45 - b46 - b53 - b54 + b55 + b56)",
"m129 = (-a12 - a14 - a15 - a25 + a45) * (-b21 + b23 + b49 - b410 - b59 + b510)",
"m130 = (-a13 - a23 + a33 - a34 - a35 + a43) * (-b12 + b14 + b21 - b23 - b32 + b34 - b41 + b43)",
"m131 = (-a13 - a31 + a33 + a43) * (b14 + b35)",
"m132 = (a31) * (b18 + b38 + b58)",
"m133 = (a13 - a33 + a34 + a35 - a43) * (b12 - b14 - b22 + b32 - b34 + b42)",
"m134 = (-a22 - a24 - a25) * (-b13 - b14 + b15 + b16 + b17 - b27 - b33 - b34 + b35 + b36 + b37 + b47 - b53 - b54 + b55 + b56)",
"m135 = (-a22 + a23 - a24 - a25 + a42) * (-b13 + b16 + b17 + b23 - b26 - b27 + b37 - b43 + b46 + b47)",
"m136 = (a22) * (b24 + b29 - b210 - b44 - b49 + b410)",
"m137 = (-a14 - a15) * (-b29 + b49 - b52 + b54)",
"m138 = (-a13 - a31 + a33) * (b12 - b14 - b19 - b35 + b37)",
"m139 = (-a13 + a15) * (-b13 + b16 + b17 + b37 - b38 - b53 + b56 + b57)",
"m140 = (a12 + a14 + a22 + a24 - a32 - a34 - a42 - a44) * (-b46 + b56)",
"m141 = (-a22 - a24 + a42 + a44) * (-b21 + b23)",
"m142 = (a12 + a14 - a32 - a34) * (b22 + b23 - b24 + b25)",
"m143 = (-a12 - a22 + a42) * (b23 + b25 - b26 - b28 - b43 - b45 + b46 + b48)",
"m144 = (-a31 + a33) * (-b35 + b37 + b38)",
"m145 = (a31 - a33) * (b12 - b14 - b19 + b110 - b35 + b37 + b38)",
"m146 = (a13 + a32 - a33 + a34 + a35) * (-b19 + b110 + b29 - b39 + b310 - b49 + b410)",
"m147 = (-a24 + a44) * (-b21 + b23 + b41 - b42 - b43 + b44)",
"m148 = (a21 - a22 - a24 - a25) * (-b14 + b15 - b25 + b45)",
"m149 = (-a34 - a35) * (b12 - b14 - b22 - b23 + b24 - b25 + b32 - b34 + b42 + b43 - b44 + b45)",
"m150 = (-a12 - a14 - a22 - a24 - a25 + a32 + a34 + a42 + a44 + a45) * (b16 + b17 + b36 + b37 + b47 + b56)",
"m151 = (a11) * (b12 - b14 + b15 - b19 + b37 + b55)",
"m152 = (a21 - a22 - a24 - a25) * (b14 - b15 + b21 - b23 + b25 - b45 - b49 + b410)",
"m153 = (a24 + a25 + a41 - a44 - a45) * (-b11 + b13 + b19 - b31 + b33 + b39 - b51 + b53 + b59)",
"m154 = (-a22 + a42) * (-b22 + b24)",
"m155 = (-a21 + a24 + a25) * (b23 - b26 - b27 - b43 + b46 + b47)",
"m156 = (a31 - a33) * (-b35 + b37)",
"m157 = (-a13 + a33 + a43) * (-b12 + b19 - b110 + b111 - b32 + b39 - b52 + b59 - b510 + b511)",
"m158 = (-a13 + a33) * (-b110 + b111 - b310 + b311 - b510 + b511)",
"m159 = (-a15 + a45) * (-b42 + b49 - b410 + b52 - b59 + b510)",
"m160 = (-a32 + a33 - a34 - a35) * (-b19 + b110 + b29 - b210 - b39 + b310 - b49 + b410)"
],
"elements": [
"c11 = -m4 + m8 - m15 - m18 + m21 + m24 + m25 + m29 - m34 + m47 - m51 - m55 + m64 + m73 + m74 + m75 + m77 - m82 - m86 - m88 + m90 + m92 + m93 + m97 + m105 + m114 - m123 - m124 + m129 + m137 + m138 + m143 + m151 + m154",
"c12 = m8 + m21 - m27 + m29 - m35 + m54 + m72 + m74 + m77 + m81 + m83 + m84 + m90 + m108 + m109 + m114 + m137 + m138 + m151 - m159",
"c13 = -m4 - m15 - m18 + m25 - m51 - m54 + m64 - m72 + m73 + m75 - m81 - m82 - m86 - m88 + m92 + m93 + m105 - m108 - m124 + m143 + m154",
"c14 = -m27 + m29 - m35 + m54 + m77 + m81 + m83 + m84 + m92 + m93 + m109 + m138 + m143 + m151 + m154 - m159",
"c15 = m4 + m18 + m29 + m72 + m77 + m82 + m86 + m88 - m105 + m108 + m138 + m151",
"c16 = -m4 - m11 - m15 - m18 - m20 + m25 - m37 - m51 - m61 - m62 + m64 - m65 - m68 - m71 - m72 + m73 + m75 - m79 - m81 - m82 - m86 - m88 + m92 + m93 + m105 - m108 - m112 - m118 - m119 - m124 - m132 - m135 + m139 + m143 - m144 + m154 - m156",
"c17 = m11 + m37 + m61 + m65 + m68 - m91 + m118 + m119 + m132",
"c18 = m4 + m9 + m18 + m20 + m37 + m61 + m62 + m65 + m68 + m71 + m72 + m79 + m81 + m82 + m86 + m88 + m93 + m108 + m112 + m118 + m119 + m132 + m135 + m143 + m144 + m154 + m156",
"c19 = m6 + m8 + m11 + m21 + m29 + m53 + m54 + m72 + m74 + m77 + m81 + m90 + m91 + m99 + m108 + m114 + m138",
"c110 = m8 + m11 + m19 + m21 + m29 + m30 + m33 + m49 + m53 + m54 + m72 + m74 + m77 + m90 + m91 + m99 + m114 + m127 + m138 + m146 + m160",
"c111 = m7 + m11 + m12 + m16 + m28 + m38 + m53 + m59 + m70 + m87 + m100 + m102 + m103 + m126 + m144 + m147 + m156",
"c21 = m1 + m2 + m3 + m5 + m14 + m17 + m24 + m27 - m32 + m35 + m40 + m41 + m45 + m47 + m52 - m55 + m56 + m57 + m58 + m63 + m66 - m67 + m69 - m76 + m78 + m80 + m94 + m106 - m109 + m115 + m120 - m121 + m122 + m128 + m129 + m134 + m141 + m155 + m157 + m159",
"c22 = -m10 + m13 + m22 + m26 - m27 + m32 + m34 + m44 - m47 + m55 + m60 + m67 + m76 + m83 + m84 + m85 + m96 - m98 + m101 + m109 - m115 + m117 + m121 + m123 + m128 + m130 + m131 - m133 + m147 + m155",
"c23 = m1 + m2 + m5 + m17 + m27 - m32 + m41 + m47 - m55 + m56 + m57 + m66 - m67 - m76 + m94 + m98 - m109 + m115 - m121 + m128 + m134",
"c24 = m13 + m22 - m27 + m32 + m33 + m34 + m44 - m47 + m55 + m67 + m76 + m83 + m96 + m101 + m109 - m115 + m117 + m121 + m128 + m131 + m136",
"c25 = m13 + m22 + m34 - m41 + m44 + m83 + m96 - m98 + m101 + m117 + m131 + m148",
"c26 = m1 + m2 - m4 + m5 + m17 - m30 + m56 + m57 + m66 - m89 - m119 + m128 - m135 - m154",
"c27 = m4 + m27 + m30 + m41 + m47 + m50 + m78 + m89 + m98 + m115 + m119 + m134 + m135 + m154 + m155",
"c28 = m4 - m7 + m30 + m37 + m56 + m62 + m82 + m89 + m113 + m119 + m128 + m135 + m143 + m154",
"c29 = m3 + m8 + m14 + m24 + m35 + m40 + m42 + m45 + m48 + m49 + m52 + m58 + m63 + m69 - m70 + m72 + m80 + m106 + m120 + m122 + m129 + m141 + m148 + m152 + m153 + m157 + m159",
"c210 = m8 + m24 + m33 + m42 + m48 + m49 + m52 + m58 + m63 + m69 - m70 + m72 + m106 + m120 + m122 + m153 + m157 + m159",
"c211 = m16 + m24 + m42 + m52 + m56 + m58 + m106 + m122 + m128 + m159",
"c31 = -m1 - m17 - m18 + m23 + m25 + m29 - m31 - m45 - m46 - m52 + m64 - m69 + m74 + m75 + m76 - m82 - m88 + m92 + m93 + m95 + m104 + m105 + m107 + m114 + m117 + m130 + m143",
"c32 = m15 + m29 + m40 + m63 - m67 + m74 + m81 + m95 + m106 + m107 + m108 + m114 + m124 - m131 + m133 + m142",
"c33 = -m1 - m15 - m17 - m18 + m23 + m25 - m31 - m46 + m64 + m75 - m81 - m82 - m88 + m92 + m93 + m104 + m105 - m108 - m124 - m142 + m143",
"c34 = m15 - m17 + m29 + m40 - m46 + m63 - m67 + m75 + m81 + m92 + m93 + m106 + m107 + m124 - m131 + m133 + m142 + m143 + m149",
"c35 = m1 + m18 - m23 - m25 + m29 + m31 + m82 + m88 - m105 + m108 + m125",
"c36 = -m1 - m2 - m5 - m11 - m15 - m17 - m18 + m23 + m25 + m26 - m31 - m37 - m46 - m51 - m61 - m62 + m64 - m65 - m71 + m73 + m75 - m79 - m81 - m82 - m88 + m92 + m93 + m105 - m108 - m110 - m111 - m124 - m132 + m139 - m142 + m143 - m144 - m150 - m156",
"c37 = m5 + m11 + m29 + m37 + m51 + m61 + m65 + m110 + m132 + m150 - m156",
"c38 = m7 + m28 + m39 + m43 + m66 + m102 + m116 + m132 + m140 + m144 + m156",
"c39 = m15 - m38 + m54 + m74 + m81 + m90 + m95 + m99 + m107 + m108 + m114 + m124 + m138 + m142 + m146 + m156 - m158",
"c310 = m15 - m38 + m54 + m74 + m90 + m99 + m138 + m144 + m145 + m146 + m156 - m158 + m160",
"c311 = m7 + m15 + m28 + m39 + m59 + m66 + m102 + m126 + m140 + m144 + m156",
"c41 = m1 + m2 + m3 - m4 + m5 + m8 - m13 + m14 + m17 + m21 + m24 + m27 + m31 - m32 - m34 + m35 + m40 + m45 + m46 + m47 + m52 - m55 + m56 + m57 + m58 - m60 + m63 + m66 - m67 + m69 - m76 + m77 + m78 + m80 - m86 + m90 + m94 + m97 + m106 - m109 + m111 + m115 - m117 + m120 + m122 - m123 + m128 + m129 - m130 + m134 + m137 + m138 + m140 + m142 + m150 + m151 + m154 + m157 + m159",
"c42 = m8 + m21 + m22 + m26 - m27 + m54 + m67 + m72 + m77 + m80 + m83 + m84 + m85 + m90 + m101 + m109 + m131 - m133 + m137 + m138 + m151",
"c43 = m1 + m2 - m4 + m5 + m17 + m27 + m31 - m32 + m46 - m54 + m56 + m57 + m66 - m67 - m72 - m86 + m94 - m109 + m111 + m115 + m128 + m134 + m140 + m142 + m150 + m154",
"c44 = m10 + m22 - m27 + m33 + m54 + m67 + m77 + m80 + m83 + m101 + m109 + m131 + m136 + m138 + m151 + m154",
"c45 = m4 + m22 + m44 + m72 + m77 + m83 + m86 + m101 + m131 + m138 + m148 + m151",
"c46 = m1 + m2 - m4 + m5 + m17 + m31 + m46 + m56 + m57 + m66 - m68 - m86 + m111 - m112 - m119 + m128 - m135 + m140 + m142 + m150 + m154",
"c47 = -m20 + m27 - m29 + m68 - m72 - m91 + m101 + m115 + m119 + m134 + m156",
"c48 = m4 - m7 + m9 - m28 + m37 + m56 + m61 + m62 + m68 + m71 + m81 + m82 + m86 + m88 + m93 + m112 + m113 + m119 + m128 + m135 + m143 + m154",
"c49 = m6 + m8 + m11 + m14 - m19 + m35 + m36 + m38 + m40 + m53 + m63 + m72 + m80 + m103 + m106 + m122 - m146 + m157 + m158 + m159",
"c410 = m8 + m11 + m30 + m33 + m36 + m38 + m49 + m53 + m63 + m72 + m103 + m106 + m122 + m157 + m158 + m159",
"c411 = m11 + m12 + m16 + m38 + m53 + m56 + m70 + m87 + m103 + m106 + m122 + m128 + m147 + m159"
],
"u": [
[0, 1, 0, 0, 0, -1, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0],
[0, -1, 0, 0, 0, 0, -1, 1, -1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0],
[0, -1, 1, -1, -1, -1, 0, 1, 0, 0, 0, 1, -1, 1, 1, 0, 1, -1, 1, 1],
[0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0],
[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, 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, 0, 0, 1, 1],
[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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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],
[1, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 0, 0],
[0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 0, -1, 1, -1, -1],
[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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0],
[-1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1],
[0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, -1, 1, -1, 0, -1, -1],
[-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, 1],
[0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1, 0, 0, -1, -1],
[1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 1, 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[0, 0, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, -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, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, -1, 0, -1, 0, 1, -1, 0, -1, -1, 0, 1, 0, 1, 0, -1, 1, 0, 1, 1],
[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, -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, 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, -1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 1, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, -1, 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, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 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, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1],
[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, 0, 0, 0, -1, 0, -1, 0, 0, -1, 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, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1],
[0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0],
[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, 0, 0, 0, 0, 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, 0, 0, -1, 0, -1, 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, 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, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, -1, -1, -1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 1, 1],
[0, -1, 0, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1],
[0, 1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, 0, 0, 0, 0, -1, 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, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1],
[0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 1, 0, 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, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1],
[0, -1, 0, -1, 0, 0, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1],
[0, 0, 1, 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, 0, 0, -1, 1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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],
[-1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, -1, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, -1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, -1, 0, 0, 0, 1, -1, 0, -1, -1, 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, 0, 0, 0, 1],
[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, -1, 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, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, 0, 1, 0, 0, 0, 0, 0, 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, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, -1, 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, 1, 1, -1, 0, 0, 1, 1],
[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, 0, 0, 0, 0, 1, 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, 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],
[1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1],
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],
"invariant_f": "360x^2y^2z^2 + 14x^3yz + 12x^2y^2z + 14xy^3z + 12x^2yz^2 + 12xy^2z^2 + 14xyz^3 + 134x^2yz + 134xy^2z + 134xyz^2 + 120xyz",
"invariant_g": "w^267 + w^261 + w^225",
"type": "60X^2Y^2Z^2 + 4XY^3Z + 6XY^2Z^2 + 3XYZ^3 + 5X^2YZ + 33XY^2Z + 29XYZ^2 + 20XYZ"
}