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759 lines (759 loc) · 87.7 KB
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{
"n": [4, 6, 10],
"m": 175,
"z2": false,
"complexity": 1878,
"multiplications": [
"m1 = (a21 - a22 - a23 + a44 - a45 - a46) * (b31 - b34 + b66 - b69)",
"m2 = (a12 + a35) * (b21 - b22 + b23 + b31 - b32 + b33 + b56 - b57 + b58 + b66 - b67 + b68)",
"m3 = (a11 - a12 - a21 + a22 + a34 - a35 - a44 + a45) * (b21 - b23 - b24 + b56 - b58 - b59)",
"m4 = (a23 + a46) * (b31 + b66)",
"m5 = (a12 - a13 - a22 + a23 + a35 - a36 - a45 + a46) * (b22 - b23 - b25 + b57 - b58 - b510)",
"m6 = (a11 - a21 + a34 - a44) * (b11 - b14 + b21 - b24 + b46 - b49 + b56 - b59)",
"m7 = (a12 - a13 + a35 - a36) * (b12 - b13 - b31 + b32 - b33 + b47 - b48 - b66 + b67 - b68)",
"m8 = (a13 - a21 + a36 - a44) * (b13 + b23 + b25 + b35 + b48 + b58 + b510 + b610)",
"m9 = (a21 + a44) * (b15 + b35 + b410 + b610)",
"m10 = (a11 + a34) * (b11 + b46)",
"m11 = (a13 - a23 + a36 - a46) * (b25 + b31 - b33 - b34 + b35 + b510 + b66 - b68 - b69 + b610)",
"m12 = (a11 + a12 - a13 + a34 + a35 - a36) * (b12 - b13 + b47 - b48)",
"m13 = (a13 - a23 + a36 - a46) * (b22 - b23 + b32 - b33 + b57 - b58 + b67 - b68)",
"m14 = (a21 - a22 + a44 - a45) * (b14 - b31 + b34 + b49 - b66 + b69)",
"m15 = (a21 + a22 - a23 + a44 + a45 - a46) * (b25 + b510)",
"m16 = (a21 - a23 + a44 - a46) * (b25 + b35 + b510 + b610)",
"m17 = (a12 - a13 + a23 + a35 - a36 + a46) * (b22 - b23 - b31 + b32 - b33 + b57 - b58 - b66 + b67 - b68)",
"m18 = (a13 - a21 + a22 + a36 - a44 + a45) * (b23 - b31 + b34 + b58 - b66 + b69)",
"m19 = (a11 - a12 - a13 + a34 - a35 - a36) * (b23 + b58)",
"m20 = (a11 - a21 + a22 + a34 - a44 + a45) * (b14 - b21 + b24 + b49 - b56 + b59)",
"m21 = (a12 - a13 + a21 + a35 - a36 + a44) * (b12 - b13 - b25 + b47 - b48 - b510)",
"m22 = (a13 + a36) * (b13 + b33 + b48 + b68)",
"m23 = (a22 + a45) * (b14 + b24 + b49 + b59)",
"m24 = (a11 - a13 + a34 - a36) * (b13 + b23 + b48 + b58)",
"m25 = (a11 - a21 + a34 - a44) * (b12 - b15 + b23 + b47 - b410 + b58)",
"m26 = (a24 - a25 - a26 - a44 + a45 + a46) * (b61 - b64 + b66 - b69)",
"m27 = (a15 - a35) * (b51 - b52 + b53 + b56 - b57 + b58 + b61 - b62 + b63 + b66 - b67 + b68)",
"m28 = (a14 - a15 - a24 + a25 - a34 + a35 + a44 - a45) * (b51 - b53 - b54 + b56 - b58 - b59)",
"m29 = (a26 - a46) * (b61 + b66)",
"m30 = (a15 - a16 - a25 + a26 - a35 + a36 + a45 - a46) * (b52 - b53 - b55 + b57 - b58 - b510)",
"m31 = (a14 - a24 - a34 + a44) * (b41 - b44 + b46 - b49 + b51 - b54 + b56 - b59)",
"m32 = (a15 - a16 - a35 + a36) * (b42 - b43 + b47 - b48 - b61 + b62 - b63 - b66 + b67 - b68)",
"m33 = (a16 - a24 - a36 + a44) * (b43 + b48 + b53 + b55 + b58 + b510 + b65 + b610)",
"m34 = (a24 - a44) * (b45 + b410 + b65 + b610)",
"m35 = (a14 - a34) * (b41 + b46)",
"m36 = (a16 - a26 - a36 + a46) * (b55 + b510 + b61 - b63 - b64 + b65 + b66 - b68 - b69 + b610)",
"m37 = (a14 + a15 - a16 - a34 - a35 + a36) * (b42 - b43 + b47 - b48)",
"m38 = (a16 - a26 - a36 + a46) * (b52 - b53 + b57 - b58 + b62 - b63 + b67 - b68)",
"m39 = (a24 - a25 - a44 + a45) * (b44 + b49 - b61 + b64 - b66 + b69)",
"m40 = (a24 + a25 - a26 - a44 - a45 + a46) * (b55 + b510)",
"m41 = (a24 - a26 - a44 + a46) * (b55 + b510 + b65 + b610)",
"m42 = (a15 - a16 + a26 - a35 + a36 - a46) * (b52 - b53 + b57 - b58 - b61 + b62 - b63 - b66 + b67 - b68)",
"m43 = (a16 - a24 + a25 - a36 + a44 - a45) * (b53 + b58 - b61 + b64 - b66 + b69)",
"m44 = (a14 - a15 - a16 - a34 + a35 + a36) * (b53 + b58)",
"m45 = (a14 - a24 + a25 - a34 + a44 - a45) * (b44 + b49 - b51 + b54 - b56 + b59)",
"m46 = (a15 - a16 + a24 - a35 + a36 - a44) * (b42 - b43 + b47 - b48 - b55 - b510)",
"m47 = (a16 - a36) * (b43 + b48 + b63 + b68)",
"m48 = (a25 - a45) * (b44 + b49 + b54 + b59)",
"m49 = (a14 - a16 - a34 + a36) * (b43 + b48 + b53 + b58)",
"m50 = (a14 - a24 - a34 + a44) * (b42 - b45 + b47 - b410 + b53 + b58)",
"m51 = (a21 - a22 - a23 - a41 + a42 + a43) * (b31 - b34 + b36 - b39)",
"m52 = (a12 - a32) * (b21 - b22 + b23 + b26 - b27 + b28 + b31 - b32 + b33 + b36 - b37 + b38)",
"m53 = (a11 - a12 - a21 + a22 - a31 + a32 + a41 - a42) * (b21 - b23 - b24 + b26 - b28 - b29)",
"m54 = (a23 - a43) * (b31 + b36)",
"m55 = (a12 - a13 - a22 + a23 - a32 + a33 + a42 - a43) * (b22 - b23 - b25 + b27 - b28 - b210)",
"m56 = (a11 - a21 - a31 + a41) * (b11 - b14 + b16 - b19 + b21 - b24 + b26 - b29)",
"m57 = (a12 - a13 - a32 + a33) * (b12 - b13 + b17 - b18 - b31 + b32 - b33 - b36 + b37 - b38)",
"m58 = (a13 - a21 - a33 + a41) * (b13 + b18 + b23 + b25 + b28 + b210 + b35 + b310)",
"m59 = (a21 - a41) * (b15 + b110 + b35 + b310)",
"m60 = (a11 - a31) * (b11 + b16)",
"m61 = (a13 - a23 - a33 + a43) * (b25 + b210 + b31 - b33 - b34 + b35 + b36 - b38 - b39 + b310)",
"m62 = (a11 + a12 - a13 - a31 - a32 + a33) * (b12 - b13 + b17 - b18)",
"m63 = (a13 - a23 - a33 + a43) * (b22 - b23 + b27 - b28 + b32 - b33 + b37 - b38)",
"m64 = (a21 - a22 - a41 + a42) * (b14 + b19 - b31 + b34 - b36 + b39)",
"m65 = (a21 + a22 - a23 - a41 - a42 + a43) * (b25 + b210)",
"m66 = (a21 - a23 - a41 + a43) * (b25 + b210 + b35 + b310)",
"m67 = (a12 - a13 + a23 - a32 + a33 - a43) * (b22 - b23 + b27 - b28 - b31 + b32 - b33 - b36 + b37 - b38)",
"m68 = (a13 - a21 + a22 - a33 + a41 - a42) * (b23 + b28 - b31 + b34 - b36 + b39)",
"m69 = (a11 - a12 - a13 - a31 + a32 + a33) * (b23 + b28)",
"m70 = (a11 - a21 + a22 - a31 + a41 - a42) * (b14 + b19 - b21 + b24 - b26 + b29)",
"m71 = (a12 - a13 + a21 - a32 + a33 - a41) * (b12 - b13 + b17 - b18 - b25 - b210)",
"m72 = (a13 - a33) * (b13 + b18 + b33 + b38)",
"m73 = (a22 - a42) * (b14 + b19 + b24 + b29)",
"m74 = (a11 - a13 - a31 + a33) * (b13 + b18 + b23 + b28)",
"m75 = (a11 - a21 - a31 + a41) * (b12 - b15 + b17 - b110 + b23 + b28)",
"m76 = (a21 - a22 - a23 + a24 - a25 - a26) * (b66 - b69)",
"m77 = (a12 + a15) * (b56 - b57 + b58 + b66 - b67 + b68)",
"m78 = (a11 - a12 + a14 - a15 - a21 + a22 - a24 + a25) * (b56 - b58 - b59)",
"m79 = (a23 + a26) * (b66)",
"m80 = (a12 - a13 + a15 - a16 - a22 + a23 - a25 + a26) * (b57 - b58 - b510)",
"m81 = (a11 + a14 - a21 - a24) * (b46 - b49 + b56 - b59)",
"m82 = (a12 - a13 + a15 - a16) * (b47 - b48 - b66 + b67 - b68)",
"m83 = (a13 + a16 - a21 - a24) * (b48 + b58 + b510 + b610)",
"m84 = (a21 + a24) * (b410 + b610)",
"m85 = (a11 + a14) * (b46)",
"m86 = (a13 + a16 - a23 - a26) * (b510 + b66 - b68 - b69 + b610)",
"m87 = (a11 + a12 - a13 + a14 + a15 - a16) * (b47 - b48)",
"m88 = (a13 + a16 - a23 - a26) * (b57 - b58 + b67 - b68)",
"m89 = (a21 - a22 + a24 - a25) * (b49 - b66 + b69)",
"m90 = (a21 + a22 - a23 + a24 + a25 - a26) * (b510)",
"m91 = (a21 - a23 + a24 - a26) * (b510 + b610)",
"m92 = (a12 - a13 + a15 - a16 + a23 + a26) * (b57 - b58 - b66 + b67 - b68)",
"m93 = (a13 + a16 - a21 + a22 - a24 + a25) * (b58 - b66 + b69)",
"m94 = (a11 - a12 - a13 + a14 - a15 - a16) * (b58)",
"m95 = (a11 + a14 - a21 + a22 - a24 + a25) * (b49 - b56 + b59)",
"m96 = (a12 - a13 + a15 - a16 + a21 + a24) * (b47 - b48 - b510)",
"m97 = (a13 + a16) * (b48 + b68)",
"m98 = (a22 + a25) * (b49 + b59)",
"m99 = (a11 - a13 + a14 - a16) * (b48 + b58)",
"m100 = (a11 + a14 - a21 - a24) * (b47 - b410 + b58)",
"m101 = (a21 - a22 - a23) * (b36 - b39 - b66 + b69)",
"m102 = (a12) * (b26 - b27 + b28 + b36 - b37 + b38 - b56 + b57 - b58 - b66 + b67 - b68)",
"m103 = (a11 - a12 - a21 + a22) * (b26 - b28 - b29 - b56 + b58 + b59)",
"m104 = (a23) * (b36 - b66)",
"m105 = (a12 - a13 - a22 + a23) * (b27 - b28 - b210 - b57 + b58 + b510)",
"m106 = (a11 - a21) * (b16 - b19 + b26 - b29 - b46 + b49 - b56 + b59)",
"m107 = (a12 - a13) * (b17 - b18 - b36 + b37 - b38 - b47 + b48 + b66 - b67 + b68)",
"m108 = (a13 - a21) * (b18 + b28 + b210 + b310 - b48 - b58 - b510 - b610)",
"m109 = (a21) * (b110 + b310 - b410 - b610)",
"m110 = (a11) * (b16 - b46)",
"m111 = (a13 - a23) * (b210 + b36 - b38 - b39 + b310 - b510 - b66 + b68 + b69 - b610)",
"m112 = (a11 + a12 - a13) * (b17 - b18 - b47 + b48)",
"m113 = (a13 - a23) * (b27 - b28 + b37 - b38 - b57 + b58 - b67 + b68)",
"m114 = (a21 - a22) * (b19 - b36 + b39 - b49 + b66 - b69)",
"m115 = (a21 + a22 - a23) * (b210 - b510)",
"m116 = (a21 - a23) * (b210 + b310 - b510 - b610)",
"m117 = (a12 - a13 + a23) * (b27 - b28 - b36 + b37 - b38 - b57 + b58 + b66 - b67 + b68)",
"m118 = (a13 - a21 + a22) * (b28 - b36 + b39 - b58 + b66 - b69)",
"m119 = (a11 - a12 - a13) * (b28 - b58)",
"m120 = (a11 - a21 + a22) * (b19 - b26 + b29 - b49 + b56 - b59)",
"m121 = (a12 - a13 + a21) * (b17 - b18 - b210 - b47 + b48 + b510)",
"m122 = (a13) * (b18 + b38 - b48 - b68)",
"m123 = (a22) * (b19 + b29 - b49 - b59)",
"m124 = (a11 - a13) * (b18 + b28 - b48 - b58)",
"m125 = (a11 - a21) * (b17 - b110 + b28 - b47 + b410 - b58)",
"m126 = (a44 - a45 - a46) * (b31 - b34 - b61 + b64)",
"m127 = (a35) * (b21 - b22 + b23 + b31 - b32 + b33 - b51 + b52 - b53 - b61 + b62 - b63)",
"m128 = (a34 - a35 - a44 + a45) * (b21 - b23 - b24 - b51 + b53 + b54)",
"m129 = (a46) * (b31 - b61)",
"m130 = (a35 - a36 - a45 + a46) * (b22 - b23 - b25 - b52 + b53 + b55)",
"m131 = (a34 - a44) * (b11 - b14 + b21 - b24 - b41 + b44 - b51 + b54)",
"m132 = (a35 - a36) * (b12 - b13 - b31 + b32 - b33 - b42 + b43 + b61 - b62 + b63)",
"m133 = (a36 - a44) * (b13 + b23 + b25 + b35 - b43 - b53 - b55 - b65)",
"m134 = (a44) * (b15 + b35 - b45 - b65)",
"m135 = (a34) * (b11 - b41)",
"m136 = (a36 - a46) * (b25 + b31 - b33 - b34 + b35 - b55 - b61 + b63 + b64 - b65)",
"m137 = (a34 + a35 - a36) * (b12 - b13 - b42 + b43)",
"m138 = (a36 - a46) * (b22 - b23 + b32 - b33 - b52 + b53 - b62 + b63)",
"m139 = (a44 - a45) * (b14 - b31 + b34 - b44 + b61 - b64)",
"m140 = (a44 + a45 - a46) * (b25 - b55)",
"m141 = (a44 - a46) * (b25 + b35 - b55 - b65)",
"m142 = (a35 - a36 + a46) * (b22 - b23 - b31 + b32 - b33 - b52 + b53 + b61 - b62 + b63)",
"m143 = (a36 - a44 + a45) * (b23 - b31 + b34 - b53 + b61 - b64)",
"m144 = (a34 - a35 - a36) * (b23 - b53)",
"m145 = (a34 - a44 + a45) * (b14 - b21 + b24 - b44 + b51 - b54)",
"m146 = (a35 - a36 + a44) * (b12 - b13 - b25 - b42 + b43 + b55)",
"m147 = (a36) * (b13 + b33 - b43 - b63)",
"m148 = (a45) * (b14 + b24 - b44 - b54)",
"m149 = (a34 - a36) * (b13 + b23 - b43 - b53)",
"m150 = (a34 - a44) * (b12 - b15 + b23 - b42 + b45 - b53)",
"m151 = (a41 - a42 - a43 + a44 - a45 - a46) * (b31 - b34)",
"m152 = (a32 + a35) * (b21 - b22 + b23 + b31 - b32 + b33)",
"m153 = (a31 - a32 + a34 - a35 - a41 + a42 - a44 + a45) * (b21 - b23 - b24)",
"m154 = (a43 + a46) * (b31)",
"m155 = (a32 - a33 + a35 - a36 - a42 + a43 - a45 + a46) * (b22 - b23 - b25)",
"m156 = (a31 + a34 - a41 - a44) * (b11 - b14 + b21 - b24)",
"m157 = (a32 - a33 + a35 - a36) * (b12 - b13 - b31 + b32 - b33)",
"m158 = (a33 + a36 - a41 - a44) * (b13 + b23 + b25 + b35)",
"m159 = (a41 + a44) * (b15 + b35)",
"m160 = (a31 + a34) * (b11)",
"m161 = (a33 + a36 - a43 - a46) * (b25 + b31 - b33 - b34 + b35)",
"m162 = (a31 + a32 - a33 + a34 + a35 - a36) * (b12 - b13)",
"m163 = (a33 + a36 - a43 - a46) * (b22 - b23 + b32 - b33)",
"m164 = (a41 - a42 + a44 - a45) * (b14 - b31 + b34)",
"m165 = (a41 + a42 - a43 + a44 + a45 - a46) * (b25)",
"m166 = (a41 - a43 + a44 - a46) * (b25 + b35)",
"m167 = (a32 - a33 + a35 - a36 + a43 + a46) * (b22 - b23 - b31 + b32 - b33)",
"m168 = (a33 + a36 - a41 + a42 - a44 + a45) * (b23 - b31 + b34)",
"m169 = (a31 - a32 - a33 + a34 - a35 - a36) * (b23)",
"m170 = (a31 + a34 - a41 + a42 - a44 + a45) * (b14 - b21 + b24)",
"m171 = (a32 - a33 + a35 - a36 + a41 + a44) * (b12 - b13 - b25)",
"m172 = (a33 + a36) * (b13 + b33)",
"m173 = (a42 + a45) * (b14 + b24)",
"m174 = (a31 - a33 + a34 - a36) * (b13 + b23)",
"m175 = (a31 + a34 - a41 - a44) * (b12 - b15 + b23)"
],
"elements": [
"c11 = m2 + m4 + m10 + m13 + m17 + m27 + m29 + m35 + m38 + m42 - m77 - m79 - m85 - m88 - m92 - m127 - m129 - m135 - m138 - m142",
"c12 = m4 - m7 + m12 + m13 + m17 - m19 + m22 + m24 + m29 - m32 + m37 + m38 + m42 - m44 + m47 + m49 - m79 + m82 - m87 - m88 - m92 + m94 - m97 - m99 - m129 + m132 - m137 - m138 - m142 + m144 - m147 - m149",
"c13 = -m19 + m22 + m24 - m44 + m47 + m49 + m94 - m97 - m99 + m144 - m147 - m149",
"c14 = m2 + m3 + m4 + m13 + m14 + m17 + m18 + m19 + m20 + m27 + m28 + m29 + m38 + m39 + m42 + m43 + m44 + m45 - m77 - m78 - m79 - m88 - m89 - m92 - m93 - m94 - m95 - m127 - m128 - m129 - m138 - m139 - m142 - m143 - m144 - m145",
"c15 = m8 + m9 + m12 - m21 + m24 - m25 + m33 + m34 + m37 - m46 + m49 - m50 - m83 - m84 - m87 + m96 - m99 + m100 - m133 - m134 - m137 + m146 - m149 + m150",
"c16 = m77 + m79 + m85 + m88 + m92 + m102 + m104 + m110 + m113 + m117",
"c17 = m79 - m82 + m87 + m88 + m92 - m94 + m97 + m99 + m104 - m107 + m112 + m113 + m117 - m119 + m122 + m124",
"c18 = -m94 + m97 + m99 - m119 + m122 + m124",
"c19 = m77 + m78 + m79 + m88 + m89 + m92 + m93 + m94 + m95 + m102 + m103 + m104 + m113 + m114 + m117 + m118 + m119 + m120",
"c110 = m83 + m84 + m87 - m96 + m99 - m100 + m108 + m109 + m112 - m121 + m124 - m125",
"c21 = m4 - m6 + m10 - m20 + m23 + m29 - m31 + m35 - m45 + m48 - m79 + m81 - m85 + m95 - m98 - m129 + m131 - m135 + m145 - m148",
"c22 = -m1 + m4 - m5 - m7 - m8 + m11 + m15 - m16 + m17 + m18 + m21 + m22 - m26 + m29 - m30 - m32 - m33 + m36 + m40 - m41 + m42 + m43 + m46 + m47 + m76 - m79 + m80 + m82 + m83 - m86 - m90 + m91 - m92 - m93 - m96 - m97 + m126 - m129 + m130 + m132 + m133 - m136 - m140 + m141 - m142 - m143 - m146 - m147",
"c23 = -m1 - m8 + m11 - m16 + m18 + m22 - m26 - m33 + m36 - m41 + m43 + m47 + m76 + m83 - m86 + m91 - m93 - m97 + m126 + m133 - m136 + m141 - m143 - m147",
"c24 = m1 + m4 + m14 + m23 + m26 + m29 + m39 + m48 - m76 - m79 - m89 - m98 - m126 - m129 - m139 - m148",
"c25 = m9 + m15 - m16 + m34 + m40 - m41 - m84 - m90 + m91 - m134 - m140 + m141",
"c26 = m79 - m81 + m85 - m95 + m98 + m104 - m106 + m110 - m120 + m123",
"c27 = -m76 + m79 - m80 - m82 - m83 + m86 + m90 - m91 + m92 + m93 + m96 + m97 - m101 + m104 - m105 - m107 - m108 + m111 + m115 - m116 + m117 + m118 + m121 + m122",
"c28 = -m76 - m83 + m86 - m91 + m93 + m97 - m101 - m108 + m111 - m116 + m118 + m122",
"c29 = m76 + m79 + m89 + m98 + m101 + m104 + m114 + m123",
"c210 = m84 + m90 - m91 + m109 + m115 - m116",
"c31 = -m127 - m129 - m135 - m138 - m142 + m152 + m154 + m160 + m163 + m167",
"c32 = -m129 + m132 - m137 - m138 - m142 + m144 - m147 - m149 + m154 - m157 + m162 + m163 + m167 - m169 + m172 + m174",
"c33 = m144 - m147 - m149 - m169 + m172 + m174",
"c34 = -m127 - m128 - m129 - m138 - m139 - m142 - m143 - m144 - m145 + m152 + m153 + m154 + m163 + m164 + m167 + m168 + m169 + m170",
"c35 = -m133 - m134 - m137 + m146 - m149 + m150 + m158 + m159 + m162 - m171 + m174 - m175",
"c36 = m2 + m4 + m10 + m13 + m17 - m52 - m54 - m60 - m63 - m67 + m102 + m104 + m110 + m113 + m117 - m152 - m154 - m160 - m163 - m167",
"c37 = m4 - m7 + m12 + m13 + m17 - m19 + m22 + m24 - m54 + m57 - m62 - m63 - m67 + m69 - m72 - m74 + m104 - m107 + m112 + m113 + m117 - m119 + m122 + m124 - m154 + m157 - m162 - m163 - m167 + m169 - m172 - m174",
"c38 = -m19 + m22 + m24 + m69 - m72 - m74 - m119 + m122 + m124 + m169 - m172 - m174",
"c39 = m2 + m3 + m4 + m13 + m14 + m17 + m18 + m19 + m20 - m52 - m53 - m54 - m63 - m64 - m67 - m68 - m69 - m70 + m102 + m103 + m104 + m113 + m114 + m117 + m118 + m119 + m120 - m152 - m153 - m154 - m163 - m164 - m167 - m168 - m169 - m170",
"c310 = m8 + m9 + m12 - m21 + m24 - m25 - m58 - m59 - m62 + m71 - m74 + m75 + m108 + m109 + m112 - m121 + m124 - m125 - m158 - m159 - m162 + m171 - m174 + m175",
"c41 = -m129 + m131 - m135 + m145 - m148 + m154 - m156 + m160 - m170 + m173",
"c42 = m126 - m129 + m130 + m132 + m133 - m136 - m140 + m141 - m142 - m143 - m146 - m147 - m151 + m154 - m155 - m157 - m158 + m161 + m165 - m166 + m167 + m168 + m171 + m172",
"c43 = m126 + m133 - m136 + m141 - m143 - m147 - m151 - m158 + m161 - m166 + m168 + m172",
"c44 = -m126 - m129 - m139 - m148 + m151 + m154 + m164 + m173",
"c45 = -m134 - m140 + m141 + m159 + m165 - m166",
"c46 = m4 - m6 + m10 - m20 + m23 - m54 + m56 - m60 + m70 - m73 + m104 - m106 + m110 - m120 + m123 - m154 + m156 - m160 + m170 - m173",
"c47 = -m1 + m4 - m5 - m7 - m8 + m11 + m15 - m16 + m17 + m18 + m21 + m22 + m51 - m54 + m55 + m57 + m58 - m61 - m65 + m66 - m67 - m68 - m71 - m72 - m101 + m104 - m105 - m107 - m108 + m111 + m115 - m116 + m117 + m118 + m121 + m122 + m151 - m154 + m155 + m157 + m158 - m161 - m165 + m166 - m167 - m168 - m171 - m172",
"c48 = -m1 - m8 + m11 - m16 + m18 + m22 + m51 + m58 - m61 + m66 - m68 - m72 - m101 - m108 + m111 - m116 + m118 + m122 + m151 + m158 - m161 + m166 - m168 - m172",
"c49 = m1 + m4 + m14 + m23 - m51 - m54 - m64 - m73 + m101 + m104 + m114 + m123 - m151 - m154 - m164 - m173",
"c410 = m9 + m15 - m16 - m59 - m65 + m66 + m109 + m115 - m116 - m159 - m165 + m166"
],
"u": [
[0, 0, 0, 0, 0, 0, 1, -1, -1, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -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, 1],
[0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1],
[1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -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, 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, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, -1],
[1, 1, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, -1, 0],
[0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1],
[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, 1, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1],
[0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0],
[1, -1, -1, 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, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0],
[0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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],
[1, 0, 0, 0, 0, 0, -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, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 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, -1],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1],
[0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -1, 0, 0],
[0, 0, 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, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1],
[0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0],
[0, 0, 0, 1, -1, -1, 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, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 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, 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, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0],
[0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 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, -1, 0, 0, 0],
[0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 0, 0],
[1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, -1, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0],
[0, 0, 0, 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, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0, 0],
[1, -1, -1, 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, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0],
[0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 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, 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],
[1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, -1, 0, 1, -1, 0, -1, 1, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, -1, 0, 1, -1, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 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, 0, 0],
[0, 0, 1, 0, 0, 1, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 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, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, -1, 0, 1, -1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 1, -1, 1, 0, -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],
[1, 0, 0, 1, 0, 0, -1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, -1, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
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[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, 0, 0, 0, 0, -1, -1, 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, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 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, 0, 1, 0, 0, 0, 1, 0, 0, 0, -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, 0, 1, 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, 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, 1, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 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, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]
],
"invariant_f": "30x^4y^4z^4 + 8x^4y^2z^2 + 8x^2y^4z^2 + 8x^2y^2z^4 + 276x^2y^2z^2 + 48x^2yz + 48xy^2z + 48xyz^2 + 576xyz",
"invariant_g": "w^272 + 2w^240",
"type": "5X^4Y^4Z^4 + 4X^2Y^4Z^2 + 46X^2Y^2Z^2 + 24XY^2Z + 96XYZ"
}