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4x4x15_m176_ZT.json
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783 lines (783 loc) · 95.1 KB
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{
"n": [4, 4, 15],
"m": 176,
"z2": false,
"complexity": 1813,
"multiplications": [
"m1 = (-a34 + a44) * (-b45)",
"m2 = (a13 + a21 + a23 + a24 + a33 + a34) * (b31 - b33 + b34 + b35)",
"m3 = (-a24 - a34) * (-b14 - b15 - b32 + b35 + b42 + b44 + b45)",
"m4 = (-a14 - a23 - a43 - a44) * (-b31 + b42)",
"m5 = (-a12 + a22) * (b21 - b22)",
"m6 = (-a11 + a21) * (-b11 + b12)",
"m7 = (-a21 + a22 + a32 - a41) * (b14 - b44)",
"m8 = (a11 + a31) * (-b11 + b12 - b13 + b15 + b21 - b22 + b25 + b31 - b41 + b43 - b45)",
"m9 = (a13 - a22) * (-b12 + b32)",
"m10 = (-a14 - a22 - a23 - a24 - a43 - a44) * (b42)",
"m11 = (a14 - a21 - a41 - a42) * (-b21)",
"m12 = (-a22 - a31 - a32) * (-b14 - b24 + b34 + b44)",
"m13 = (-a13 + a31) * (-b12 + b22 - b23 + b33 - b35)",
"m14 = (a22) * (b12 - b22 - b32 + b42)",
"m15 = (a13 + a21) * (-b12 + b31)",
"m16 = (a13 + a24 + a33 + a34) * (-b13 + b31 - b32 + b35 + b43)",
"m17 = (-a11 - a14 - a31 - a41 - a43 - a44) * (b13)",
"m18 = (a22 + a23 + a31 + a32 + a33 + a43) * (-b34)",
"m19 = (a14 - a21 + a43 + a44) * (-b31)",
"m20 = (-a21 - a24 - a34 - a41) * (-b14 - b15 + b44)",
"m21 = (a22 - a34) * (-b24 - b25 + b32 + b34 - b42)",
"m22 = (a14 - a21) * (-b11 + b31)",
"m23 = (-a21 - a24 - a34 + a43) * (-b13 + b33 - b34 - b35)",
"m24 = (-a31) * (b13 - b15 + b24 - b33 + b35 - b44)",
"m25 = (-a22 - a23 + a34 - a43) * (b32 + b34 - b42)",
"m26 = (a31 + a43) * (b13 - b33 + b35)",
"m27 = (a32 - a42) * (b25)",
"m28 = (a13 - a23) * (b31 - b32)",
"m29 = (a12 + a21 + a41 + a42) * (-b12 + b21)",
"m30 = (a22 + a32) * (b14 - b25 - b44)",
"m31 = (a23 + a43) * (b32 - b42)",
"m32 = (a14 + a22) * (b21 - b42)",
"m33 = (a23 - a24 - a34 + a43) * (-b32 + b35 + b42)",
"m34 = (-a13 + a14 - a33 + a44) * (-b13 + b43)",
"m35 = (a34 + a42) * (-b24 - b25 + b44)",
"m36 = (a13 + a33) * (-b13 + b35 + b43)",
"m37 = (a11 + a22 + a31 + a32) * (b14 - b21 + b22 - b25 - b44)",
"m38 = (a44) * (b11 - b21 - b31 + b41)",
"m39 = (-a11 + a12 - a31 + a42) * (b12 - b22 + b25)",
"m40 = (a11 + a14 + a31) * (-b11 + b21 - b23 + b24 + b25 + b31 - b41 + b43 - b44 - b45)",
"m41 = (-a14 + a21 + a41 - a44) * (-b11 + b21)",
"m42 = (-a11 - a12 - a13 - a21 - a41 - a42) * (-b12)",
"m43 = (-a34) * (b13 + b24 + b25 - b33 - b44 - b45)",
"m44 = (-a13 + a22 - a33 - a34) * (-b23 + b32 + b34)",
"m45 = (a13 - a22 - a31 - a32) * (b22 - b23 + b34)",
"m46 = (a31 - a41) * (-b15)",
"m47 = (-a21 - a24 - a34 - a41 - a42 - a44) * (b44)",
"m48 = (a34 - a43) * (b13 - b33)",
"m49 = (-a12 - a13 - a32 - a33 - a34 - a42) * (-b23)",
"m50 = (-a14) * (-b11 + b21 + b31 - b41)",
"m51 = (a12 + a13 - a31 + a42) * (-b12 + b22 - b23)",
"m52 = (a31 - a42) * (-b24 + b44)",
"m53 = (-a12 - a42) * (b12 - b22)",
"m54 = (a14 - a24) * (b41 - b42)",
"m55 = (a11 + a14 + a31 - a42) * (b23 - b24 - b25 + b44)",
"m56 = (a33 - a43) * (b35)",
"m57 = (-a11 - a12 - a14 - a22 - a31 - a32) * (-b21 + b23 - b24 - b25)",
"m58 = (-a11 - a14 - a31 - a44) * (b11 + b13 - b21 - b31 + b41 - b43 + b45)",
"m59 = (-a21 - a24 - a34) * (b13 - b14 - b15 - b33 + b34 + b35)",
"m60 = (-a13 - a33 - a34) * (-b13 - b23 + b33 + b43)",
"m61 = (-a11 + a24 - a31 + a34) * (-b13 + b14 + b15 + b31 - b41 + b43 - b44 - b45)",
"m62 = (a33 + a34) * (b112 - b113 - b115 + b212 - b213 - b215 + b312 - b313 - b415)",
"m63 = (a11 - a13 - a14 - a21 + a22 - a32 + a33 + a34) * (b18 + b111 + b113 + b213)",
"m64 = (a22 - a23 - a24 - a32 + a33 + a34) * (b18 + b111 + b113 + b26 + b28 + b211 + b213)",
"m65 = (-a12 + a13 + a14 + a21 - a23 - a24 - a31 + a32 + a42 - a43 - a44) * (b19 + b110 + b310)",
"m66 = (a44) * (-b37 - b38 + b39 + b310 + b47 + b48 - b49 - b410)",
"m67 = (a12 - a32 - a42 + a44) * (b114 + b214 - b310 + b410 + b414)",
"m68 = (a44) * (b114 + b214 - b37 - b38 + b39 + b310 + b47 + b48 - b49 - b410 + b414)",
"m69 = (a12 - a32) * (-b27 - b29)",
"m70 = (a11 - a13 - a14 - a21 + a33 + a34) * (-b113 - b213 - b412)",
"m71 = (a21 - a23 - a24 - a31 + a33 + a34) * (b16)",
"m72 = (-a12 + a14 + a21 - a24 - a31 + a32 + a42 - a44) * (b114 - b310 + b410 + b414)",
"m73 = (a32 - a34) * (-b18 - b111 - b113 + b27 - b28 + b29 - b211 - b213 - b38 - b311 - b313)",
"m74 = (a11 - a12 - a41 + a42) * (-b19 - b110 - b114 - b115)",
"m75 = (a11 - a13 - a14 - a21 + a23 + a24 - a41 + a43 + a44) * (-b311 - b312 + b314)",
"m76 = (a23 - a33 - a34) * (-b16 - b18 - b111 - b113 - b26 - b28 - b211 - b213 + b312 - b313 - b46 - b48 - b411 - b412)",
"m77 = (a32 - a33 - a34) * (-b18 - b111 - b113 + b212 - b213 - b215 - b38 - b311 - b313)",
"m78 = (a24) * (b16 + b18 + b111 + b113 + b26 + b28 + b211 + b213 + b46 + b48 + b411 + b413)",
"m79 = (a13 + a31 - a33 - a34 - a43) * (b18 - b37)",
"m80 = (a11 - a14 - a21 + a24 - a42 + a44) * (b114 - b312 + b314 + b412)",
"m81 = (a12 - a32 - a42 + a43 + a44) * (b19 + b110 + b29 + b210 + b310)",
"m82 = (a23 + a32 - a33 - a34) * (b18 + b111 + b113 + b26 + b28 + b211 + b213 + b38 + b311 + b313)",
"m83 = (a11 - a14 + a44) * (b18 - b47)",
"m84 = (a13 - a33 - a43) * (b311 + b312 - b411 - b412)",
"m85 = (a11 - a12 - a21 + a22 - a41 + a42) * (b211 + b213)",
"m86 = (a23 + a24 - a33 - a34) * (b16 + b18 + b111 + b113 + b26 + b28 + b211 + b213 + b46 + b48 + b411 + b412)",
"m87 = (a12 - a22 - a42) * (b212 - b213)",
"m88 = (a11 - a13 - a14 - a21 + a23 + a24) * (b312 - b314)",
"m89 = (a12 - a14) * (-b18 - b111 - b113 - b213 - b48 - b411 - b413)",
"m90 = (a21 - a24 - a31 + a34) * (-b310 + b410 + b414)",
"m91 = (a14 - a44) * (-b111 - b113 - b211 - b213 - b411 - b413)",
"m92 = (a12 - a42 + a43 + a44) * (b19 + b110 + b29 + b210 - b314 - b315)",
"m93 = (a13 + a44) * (b37 + b38 - b39 - b310 + b49 + b410)",
"m94 = (a21 - a22 + a32 - a33 - a34) * (b18 + b111 + b113 - b212 + b213 + b215)",
"m95 = (-a12 + a21 - a31 + a32 + a42) * (-b110 - b114 - b210 + b212 - b213 - b214 - b410 - b414)",
"m96 = (a12 - a13 - a14 - a22 + a23 + a24 - a42 + a43 + a44) * (b19 + b110 - b36 + b37 + b39 + b310)",
"m97 = (a11 - a34) * (b17 + b19 + b47)",
"m98 = (a21 - a23 - a24 - a31 + a33 + a34) * (b16 + b310)",
"m99 = (a41) * (b17 + b18 + b27)",
"m100 = (a11 - a12 - a21 + a22 - a41 + a42) * (b16 - b17)",
"m101 = (a12 - a14 - a22 + a24 - a42 + a44) * (b114 + b36 - b37 - b39 - b310 - b46 + b47 + b49 + b410 + b414)",
"m102 = (-a12 + a21 + a42) * (b115 - b212 + b213 + b215 + b415)",
"m103 = (a23) * (b36 - b37)",
"m104 = (a13 + a14 - a34) * (-b310 + b49 + b410)",
"m105 = (a13 + a14) * (b314 + b315 + b49 + b410)",
"m106 = (a42 - a44) * (b114 + b214 - b312 + b314 + b412)",
"m107 = (a13 - a33) * (b312 - b412)",
"m108 = (a13) * (-b37 - b38 + b39 + b310 - b311 - b49 - b410)",
"m109 = (a33) * (b39)",
"m110 = (a31 - a34) * (b17 + b19 + b37)",
"m111 = (a12 - a22 - a42 + a44) * (-b114 - b214 - b36 + b37 + b39 + b310 + b46 - b47 - b49 - b410 - b414)",
"m112 = (a11 - a13 - a14 - a31 + a33 + a34) * (-b18 - b111)",
"m113 = (a42 - a43 - a44) * (b19 + b110 + b29 + b210 - b312 + b314)",
"m114 = (a12 - a42) * (b115 + b215 + b415)",
"m115 = (a42) * (b112 + b28 + b212 + b412)",
"m116 = (a13 + a32 - a33 - a34) * (b18 + b111 + b113 + b213 + b38 + b311 + b313)",
"m117 = (a23 - a33) * (-b314)",
"m118 = (-a12 + a14 + a21 - a24 + a42 - a44) * (b114 + b314 + b315 - b415)",
"m119 = (a41 - a42) * (-b27)",
"m120 = (a34) * (b17 - b18 + b19 - b111 - b113 + b27 - b28 + b29 - b211 - b213 + b312 - b313 + b47 - b48 + b49 - b411 - b412)",
"m121 = (a11 - a13 - a14 - a21 + a24 + a33) * (b312 - b314 - b412)",
"m122 = (a21 - a22 - a31 + a32) * (-b18 - b111 - b113)",
"m123 = (a11 - a13 - a14 - a21 + a23 + a24 - a41 + a43 + a44) * (-b19 - b110)",
"m124 = (a12 - a22) * (-b26)",
"m125 = (a11 - a13 - a14 - a21 + a33 + a34 - a41 + a43 + a44) * (b111 + b113 + b211 + b213 + b411 + b412)",
"m126 = (a42) * (b112 + b212 + b412)",
"m127 = (a13 - a33 - a34) * (-b113 - b213 + b312 - b313 - b412)",
"m128 = (a12) * (b18 + b111 + b113 + b27 + b28 + b29 + b210 + b211 + b213 + b214 + b215 + b48 + b411 + b413)",
"m129 = (a21 - a22) * (b212 - b213 - b215)",
"m130 = (a21 - a31) * (b110 - b112 + b113 + b114 + b210 - b212 + b213 + b214 + b410 + b414)",
"m131 = (a12 - a22 - a42 + a43 + a44) * (-b19 - b110 - b29 - b210 + b36 - b37 - b39 - b310)",
"m132 = (a31 - a33 - a34) * (-b18 - b111 - b112 + b115)",
"m133 = (a12 - a42 + a44) * (b114 + b214 + b314 + b315 - b415)",
"m134 = (a13 - a33 - a34 - a43) * (b111 + b113 + b211 + b213 - b312 + b313 + b411 + b412)",
"m135 = (a43 + a44) * (b19 + b110 + b29 + b210 - b37 - b38 + b39 + b310)",
"m136 = (a11 - a12 - a21 + a22) * (-b213)",
"m137 = (a11 - a12 - a31 + a32 - a41 + a42) * (-b19)",
"m138 = (a21 - a24 - a33) * (-b314 - b315 + b415)",
"m139 = (a14 - a24) * (-b36 + b37 + b39 + b310 + b46 - b47 - b49 - b410)",
"m140 = (a12 - a24) * (b18 + b111 + b113 + b26 + b28 + b211 + b213 + b48 + b411 + b413)",
"m141 = (a13 + a32 - a33 - a34 - a43) * (-b18 - b111 - b113 - b211 - b213 - b38 - b311 - b313)",
"m142 = (a34) * (b17 - b18 + b19 - b111 - b113 + b27 - b28 + b29 - b211 - b213 + b47 - b48 + b49 - b411 - b413)",
"m143 = (a13) * (b37 + b38 + b311)",
"m144 = (a12 - a34) * (-b18 - b111 - b113 + b27 - b28 + b29 - b211 - b213 - b48 - b411 - b413)",
"m145 = (a12 - a14 + a44) * (-b18 - b111 - b113 - b211 - b213 - b48 - b411 - b413)",
"m146 = (a21 - a33 - a34) * (b112 - b113 - b115 + b212 - b213 - b215 - b415)",
"m147 = (a14 - a34) * (b310 - b410)",
"m148 = (a13 + a14 - a24) * (b36 - b37 - b39 - b310 + b49 + b410)",
"m149 = (a12 + a41 - a42) * (-b19 - b110 - b114 - b115 + b27)",
"m150 = (a21 - a22 - a31 + a32) * (b210 - b212 + b213 + b214)",
"m151 = (a14) * (-b314 - b315 + b414 + b415)",
"m152 = (a11 - a13 - a14 - a21 + a23 + a24 - a42 + a43 + a44) * (b19 + b110 - b312 + b314)",
"m153 = (-a12 + a13 + a14 + a21 - a23 - a24 + a42 - a43 - a44) * (b19 + b110 - b314 - b315)",
"m154 = (a11 - a14 - a21 + a24 - a41 + a44) * (b114 - b311 - b312 + b314 + b411 + b412)",
"m155 = (a11 - a13 - a14 - a21 + a24 + a33 - a41 + a43 + a44) * (b311 + b312 - b314 - b411 - b412)",
"m156 = (a12 - a32 + a41 - a42) * (-b19 + b27)",
"m157 = (a11 - a13 - a14 - a31 + a33 + a34 - a41 + a43 + a44) * (b18)",
"m158 = (a21 - a23 - a24) * (b314 + b315)",
"m159 = (a11) * (b17 + b19 + b110 + b114 + b115 + b47)",
"m160 = (a12 - a22 - a42) * (-b16 + b17 + b19 + b110 + b114 - b26 + b27 + b29 + b210 - b212 + b213 + b214 - b46 + b47 + b49 + b410 + b414)",
"m161 = (a11 - a24) * (b16 + b47)",
"m162 = (a12) * (-b18 - b111 - b113 - b28 - b211 - b213 - b48 - b411 - b413)",
"m163 = (a23 + a31 - a33 - a34) * (b16 + b37)",
"m164 = (a41 - a42) * (-b19 - b110 - b112 + b114 - b27)",
"m165 = (a11 - a21 - a42) * (b112 + b213 + b412)",
"m166 = (a11 - a13 - a14 - a21 + a22 - a32 + a33 + a34 - a41 + a43 + a44) * (-b18 - b111 - b113 - b211 - b213)",
"m167 = (a13 + a31 - a33 - a34) * (-b18 - b111 + b37)",
"m168 = (a11 - a14) * (b18 + b111 - b47)",
"m169 = (a11 - a21 - a41) * (-b111 - b112 - b211 - b213 - b411 - b412)",
"m170 = (a23 - a33) * (-b36 - b38 - b311 - b312 + b46 + b48 + b411 + b412)",
"m171 = (a12 - a22 + a41 - a42) * (b16 - b17 - b27)",
"m172 = (a13 - a43) * (b37 + b38)",
"m173 = (a14) * (-b113 - b213 - b413)",
"m174 = (a12 - a32 - a42) * (-b110 - b114 - b210 - b214 - b410 - b414)",
"m175 = (a33) * (-b39 - b315 + b415)",
"m176 = (a31 - a33 - a34) * (b18 + b111 + b112 - b115 - b37)"
],
"elements": [
"c11 = m6 - m11 + m15 + m22 + m29 + m42 + m50",
"c12 = m5 + m9 - m11 - m14 + m29 - m32 + m42",
"c13 = m1 - m13 - m26 + m34 + m35 + m36 - m38 + m40 - m43 - m48 - m51 + m53 + m55 - m56 - m58",
"c14 = m11 - m12 - m29 + m37 - m39 - m42 + m45 - m51 - m52 + m55 + m57",
"c15 = m1 + m8 - m24 - m26 + m34 + m35 + m36 - m38 + m39 - m43 - m48 - m50 + m52 + m53 - m56 - m58",
"c16 = m78 + m108 + m112 + m132 + m139 + m140 + m143 + m148 + m161 + m162 + m167 + m168 + m176",
"c17 = m74 + m112 + m119 + m132 + m149 + m159 + m167 + m168 + m176",
"c18 = m66 + m83 + m91 + m93 + m108 - m112 - m132 + m143 + m145 - m162 - m167 - m168 - m176",
"c19 = -m74 + m97 + m104 + m108 - m119 + m142 + m143 + m144 + m147 - m149 - m159 - m162",
"c110 = m74 + m88 + m92 - m97 - m104 + m105 + m113 + m119 - m142 - m144 - m147 + m149 + m152 + m153 + m158 + m159 + m162",
"c111 = -m66 - m83 + m89 - m91 - m93 - m108 - m145 + m168 + m173",
"c112 = m62 + m63 + m70 + m77 + m94 + m102 + m112 + m114 + m116 + m126 + m127 + m129 + m132 + m136 - m143 + m146 + m165 + m167 + m176",
"c113 = m63 + m77 + m94 + m112 + m116 + m129 + m132 + m136 - m143 + m167 - m173 + m176",
"c114 = m80 + m106 + m107 + m109 + m118 + m121 + m133 + m138 + m151 + m175",
"c115 = -m74 - m80 - m88 - m92 - m106 - m107 - m109 - m113 - m118 - m119 - m121 + m128 - m133 - m138 - m149 - m152 - m153 - m158 + m162 - m175",
"c21 = m4 - m10 + m19 + m22 + m32 + m50 - m54",
"c22 = m4 + m9 - m10 - m14 - m15 + m19 + m28",
"c23 = -m2 + m4 - m10 + m16 + m19 + m23 - m25 + m33 - m44 - m48 + m60",
"c24 = -m7 - m20 - m21 + m23 + m24 - m25 + m26 + m27 + m30 - m31 - m35 + m46 - m52 + m59",
"c25 = -m3 + m7 + m20 - m24 - m26 - m27 - m30 + m31 + m33 + m35 - m43 - m46 - m48 + m52",
"c26 = m71 + m78 + m103 + m124 + m132 + m140 + m162 + m163 + m176",
"c27 = m71 + m74 + m100 + m132 + m149 + m159 - m161 + m163 + m171 + m176",
"c28 = m64 + m75 + m76 - m78 + m79 + m82 + m84 + m86 + m117 - m124 + m125 - m132 + m134 - m140 + m141 + m155 + m157 - m162 + m166 + m172 - m176",
"c29 = m65 + m67 + m69 + m72 - m74 + m81 + m87 + m95 + m96 + m97 + m101 + m103 + m104 + m111 + m131 + m137 - m139 + m142 + m144 + m147 - m148 - m149 + m150 + m156 - m159 - m162 + m174",
"c210 = -m65 - m67 - m69 - m72 + m74 - m81 - m87 + m92 - m95 - m97 - m101 - m104 + m105 - m111 - m137 + m139 - m142 - m144 - m147 + m149 - m150 + m153 - m156 + m158 + m159 + m162 - m174",
"c211 = -m63 - m70 - m75 - m79 - m84 - m88 + m107 - m112 - m116 + m121 - m125 - m127 - m134 - m141 + m143 - m155 - m157 - m166 - m167 - m172",
"c212 = m62 + m63 + m70 + m77 - m87 + m88 + m94 + m102 - m107 + m112 + m114 + m116 - m117 - m121 + m127 + m129 + m132 - m143 + m146 + m167 + m176",
"c213 = m63 + m70 - m76 + m77 + m78 - m86 + m88 + m94 - m107 + m112 + m116 - m117 - m121 + m127 + m129 + m132 - m143 + m167 + m176",
"c214 = m101 + m109 + m111 - m117 + m118 + m133 + m138 - m139 + m151 + m175",
"c215 = -m87 + m102 - m109 + m114 + m117 + m129 - m138 - m158 - m175",
"c31 = m3 - m6 - m8 - m15 + m16 + m18 - m22 - m25 + m30 - m31 - m32 - m36 - m37 - m44 - m45 + m49 - m50 + m51 - m53 + m54 - m61",
"c32 = -m9 + m14 + m18 - m25 - m31 - m44 - m45 + m49 + m51 - m53",
"c33 = m13 + m26 - m36 + m48 + m49 + m51 - m53 + m56 - m60",
"c34 = m12 - m18 + m21 + m25 - m27 - m30 + m31 + m35 + m52",
"c35 = m24 + m26 + m27 - m35 + m43 + m48 - m52 + m56",
"c36 = -m69 + m73 + m76 + m82 + m103 + m120 + m132 - m142 - m144 + m162 + m163 + m170 + m176",
"c37 = m74 - m97 + m110 + m132 - m137 + m149 - m156 + m159 + m176",
"c38 = m69 - m73 + m79 + m84 - m120 - m132 + m134 + m141 + m142 + m144 - m162 + m172 - m176",
"c39 = m69 - m74 + m97 + m109 + m137 + m142 + m144 - m149 + m156 - m159 - m162",
"c310 = -m65 - m69 - m71 + m74 - m81 + m92 - m97 + m98 - m104 + m105 - m137 - m142 - m144 + m149 + m153 - m156 + m158 + m159 + m162",
"c311 = -m79 - m84 + m107 - m116 - m127 - m134 - m141 + m143 - m167 - m172",
"c312 = m62 + m77 + m94 + m95 + m102 - m107 + m114 + m116 + m122 + m127 + m129 + m130 + m132 - m143 + m146 + m167 + m174 + m176",
"c313 = m77 + m94 - m107 + m116 + m120 + m122 + m127 + m129 + m132 - m142 - m143 + m167 + m176",
"c314 = -m67 - m72 + m90 + m109 + m118 + m133 + m138 - m147 + m151 + m175",
"c315 = m94 + m95 + m102 - m109 + m114 + m122 + m129 + m130 + m132 + m146 + m174 - m175",
"c41 = m11 - m19 - m22 + m38 - m41",
"c42 = -m4 - m5 - m9 + m11 + m14 + m15 - m19 - m28 - m29 + m31 + m32 + m53",
"c43 = -m1 - m17 - m35 + m38 - m40 + m43 + m48 - m55 + m58",
"c44 = m20 - m23 - m24 - m26 - m46 - m47 + m52 - m59",
"c45 = -m1 + m24 + m26 - m35 + m43 + m46 + m48 - m52",
"c46 = -m66 + m68 + m79 - m83 + m87 + m93 + m99 + m108 + m111 + m112 - m124 + m131 + m135 + m143 + m157 + m160 + m167 + m168 + m171 - m172",
"c47 = m79 - m83 + m99 + m112 + m119 + m157 + m167 + m168",
"c48 = m66 - m79 + m83 + m93 + m108 - m112 + m115 - m126 + m143 - m157 - m167 - m168 - m172",
"c49 = -m66 - m67 + m68 - m69 - m81 + m93 + m108 - m119 + m135 + m143 - m156 - m172 - m174",
"c410 = m66 + m67 - m68 + m69 + m81 + m88 + m113 + m119 + m123 + m152 + m156 + m174",
"c411 = m63 - m66 + m70 + m79 - m80 - m83 + m84 + m85 + m88 + m89 - m91 - m93 - m107 - m108 + m112 + m116 - m119 - m121 + m123 + m125 + m127 + m134 + m136 + m141 - m143 - m145 + m152 + m154 + m155 + m157 + m164 + m165 + m166 + m167 + m168 + m169 + m172 + m173",
"c412 = m80 - m84 - m88 + m107 + m119 + m121 - m123 + m126 - m152 - m154 - m155 - m164",
"c413 = -m70 + m80 - m84 - m88 + m91 + m107 + m119 + m121 - m123 - m125 - m127 - m134 - m152 - m154 - m155 - m164 - m165 - m169 - m173",
"c414 = -m66 + m68 + m80 - m84 + m106 + m107 + m121 - m154 - m155",
"c415 = -m80 + m84 - m88 - m92 - m106 - m107 - m113 - m114 - m119 - m121 - m123 + m128 - m133 - m149 - m152 + m154 + m155 + m162"
],
"u": [
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1],
[0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1],
[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, 1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0],
[1, 0, 0, 0, 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, 0],
[0, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1],
[0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0],
[0, 0, 0, 0, 0, -1, 0, 0, -1, -1, 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, 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, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0],
[-1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1],
[0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0],
[0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1],
[0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, -1, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0],
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[0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0],
[0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0],
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[1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 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, -1, 0, 0, 0, 0, 1, 0, 0],
[1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1],
[-1, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0],
[0, 0, 1, 0, 0, -1, 0, 0, -1, -1, 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, -1, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0],
[0, -1, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0],
[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, 0, 1, 0, 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, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0],
[-1, -1, 0, -1, 0, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],
[1, 0, -1, -1, -1, 1, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0],
[0, -1, 1, 1, 1, 0, -1, -1, -1, 1, 0, 0, 0, 1, -1, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0],
[1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0],
[0, -1, 0, 1, 1, 0, 0, -1, -1, 1, 0, 0, 0, 1, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0],
[1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0],
[1, 0, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 1, 1],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 0, 0],
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[0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, -1, 0],
[1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1],
[0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, 1],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, 0],
[1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0],
[1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0],
[0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[1, 0, -1, -1, -1, 0, 1, 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, 1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 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, -1, 1, 1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0],
[0, -1, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, 0],
[0, 1, -1, -1, 0, -1, 1, 1, 0, 0, 0, 0, 0, -1, 1, 1],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, -1, -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],
[1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0],
[0, 1, 0, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1],
[0, -1, 0, 0, 1, 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],
[0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, 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, 1, 0, -1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0],
[0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1],
[1, 0, -1, -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, 0, 1, -1, -1],
[0, 1, 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, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[0, -1, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0],
[1, 0, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 1, 1],
[0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 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, 1, -1, 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, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1],
[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, -1, 0, 1],
[0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1],
[1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, -1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 1, 0, 0],
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],
"invariant_f": "x^4y^2z + x^2y^4z + x^4yz^2 + 14x^3y^2z^2 + 14x^2y^3z^2 + xy^4z^2 + 14x^2y^2z^3 + x^2yz^4 + xy^2z^4 + 5x^3y^2z + 5x^2y^3z + 5x^3yz^2 + 324x^2y^2z^2 + 5xy^3z^2 + 5x^2yz^3 + 5xy^2z^3 + 20x^3yz + 16x^2y^2z + 20xy^3z + 16x^2yz^2 + 16xy^2z^2 + 20xyz^3 + 144x^2yz + 144xy^2z + 144xyz^2 + 114xyz",
"invariant_g": "w^285 + w^281 + w^279",
"type": "6X^3Y^2Z^2 + X^2Y^3Z^2 + XY^4Z^2 + 2X^2Y^3Z + 2X^3YZ^2 + 54X^2Y^2Z^2 + XY^3Z^2 + 8X^3YZ + 4X^2Y^2Z + 4XY^2Z^2 + 2XYZ^3 + 10X^2YZ + 30XY^2Z + 32XYZ^2 + 19XYZ"
}