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739 lines (739 loc) · 85.9 KB
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{
"n": [5, 6, 8],
"m": 170,
"z2": false,
"complexity": 2410,
"multiplications": [
"m1 = (a44 - a46 + a55 - a56) * (-b55 + b56 - b67)",
"m2 = (a12 + a13 + a14 - a21 + a22 + a31 - a32 - a41 + a42 - a51 + a52) * (b27 - b37 - b48 - b58 - b68)",
"m3 = (a21 + a23 + a24 - a25 - a31 + a41 + a51) * (b16 + b26 - b36 + b46 - b55 + b56 - b58)",
"m4 = (a21 + a23 + a24 - a26 - a31) * (b15 - b16 + b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 - b64 + b65)",
"m5 = (a45 - a46 + a55 - a56) * (b54)",
"m6 = (a12 + a13 + a14 - a15 - a21 + a22) * (b26 - b36 + b46 - b55 + b56)",
"m7 = (a34 - a35) * (b55 - b56)",
"m8 = (a32 - a42) * (-b21 + b23 - b24 + b25 - b27 + b31)",
"m9 = (a21 + a23 - a31 + a41 + a51) * (-b13 + b14 - b23 + b24 - b35 - b38 + b45 + b48)",
"m10 = (a12 + a13 + a14 - a15 + a22 + a23 + a24 - a25 - a32 - a33 - a34 + a35 + a42 + a43 + a52 + a53) * (b36 - b46 + b55 - b56 + b58)",
"m11 = (a12 + a13 + a14 - a15 + a22 + a23 + a24 - a25 - a34 + a35) * (b36 - b46 + b55 - b56)",
"m12 = (a21 + a23 + a24 - a25) * (b16 + b26 - b36 + b46 - b55 + b56)",
"m13 = (a12 + a13 + a14 - a15 + a22 + a23 + a24 - a25 - a32 - a33 - a34 + a35 + a42 + a43) * (b36 - b46 + b55 - b56 - b57)",
"m14 = (a42 + a43 + a44 - a46 + a52 + a53 + a54 - a56) * (b21 - b23 - b31 + b41 + b51)",
"m15 = (a21 - a22) * (b11 + b23 - b24 + b25)",
"m16 = (a15 - a16 + a25 - a26 - a35 + a36) * (b12 - b13 + b21 - b22 - b31 + b32 + b41 - b42 + b51 - b52)",
"m17 = (a12 + a13 + a22 + a23 - a32 - a33) * (b21 - b22 - b36 + b46 - b54 + b56)",
"m18 = (a45 - a46 + a55 - a56) * (b55 - b56)",
"m19 = (a21 + a23 + a24 - a26) * (b15 - b16 + b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56)",
"m20 = (a36 - a46) * (-b45 + b46 - b55 + b56 - b63 + b64 - b65)",
"m21 = (a32 - a42 - a43 - a44) * (b21 - b23 - b31)",
"m22 = (a31 - a41 - a43 - a44) * (b12 - b13 - b21 + b22 + b31 - b32)",
"m23 = (a23 + a24 - a35 + a45) * (-b46 - b51 - b53 + b54 - b56)",
"m24 = (a25 - a26 - a35 + a36 + a44 - a46 + a54 - a56) * (-b31 + b41 - b53 + b54)",
"m25 = (a12 + a13 + a14 - a16 - a21 + a22 + a31 - a32 - a41 + a42 - a51 + a52) * (b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 - b68)",
"m26 = (a12 + a13 + a22 + a23 - a32 - a33 + a42 + a43 + a52 + a53) * (b35 + b38 - b45 - b48)",
"m27 = (a33 - a43 - a53 - a54) * (b33 - b34 + b35 + b38 - b45 - b48)",
"m28 = (a23 + a24 - a26) * (-b15 + b16 - b25 + b26 + b35 - b36 - b45 + b46 - b55 + b56 - b61 - b63 + b64 - b65)",
"m29 = (a26 - a36 + a46 - a54 + a56) * (-b31 + b41 - b53 + b54 - b63 + b64)",
"m30 = (a15 - a16 + a25 - a26 - a35 + a36 - a41 - a43 - a44 - a46 - a51 - a53 - a54 - a56) * (-b12 + b13)",
"m31 = (a12 + a13 + a14 - a15 + a22 + a23 + a24 - a25 - a32 - a33 - a34 + a35) * (b36 - b46 + b54 - b56)",
"m32 = (a33 + a34 - a36 - a43 - a44 + a46) * (-b45 + b46 - b55 + b56 - b67)",
"m33 = (a12 + a13 + a14 - a16 + a22 + a23 + a24 - a26 - a34 + a36) * (b35 - b36 - b45 + b46 - b55 + b56)",
"m34 = (a12 + a13 + a14 - a15) * (b26 - b36 + b46)",
"m35 = (a46 + a51 + a53 + a54 + a56) * (-b12 + b13 - b21 + b22 + b31 - b32 - b41 + b42 - b51 + b52 - b61 + b62)",
"m36 = (a11 - a23 - a24) * (-b17 - b27 + b37 + b42 + b43 - b44 + b45 + b52 + b53 - b54 + b55 + b62 + b63 - b64 + b65)",
"m37 = (a11 + a13 + a14) * (-b27 + b37 + b42 + b43 - b44 + b45 + b52 + b53 - b54 + b55 + b62 + b63 - b64 + b65)",
"m38 = (a46 - a52 - a53 - a54 + a56) * (b21 - b23 - b31 + b41 + b51 + b61)",
"m39 = (a22) * (-b11 - b21)",
"m40 = (a12 + a13 + a14 - a16 - a21 + a22 + a31 - a32) * (b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 - b64 + b65)",
"m41 = (a11 - a23) * (-b13 + b14 - b23 + b24 + b32 + b33 - b34 - b42 - b43 + b44)",
"m42 = (a12 + a13 - a21 + a22 + a31 - a32 - a41 + a42) * (-b23 + b24 - b35 + b37 + b45 - b47)",
"m43 = (a12 + a13 + a14 + a22 + a23 + a24 - a32 - a33 - a34) * (-b37 + b44 - b45 + b54 - b55 + b64 - b65)",
"m44 = (a21 + a23 - a31) * (b13 - b14 + b23 - b24 + b34 - b44)",
"m45 = (a21 + a23 + a24 - a31) * (b17 + b27 - b37 + b44 - b45 + b54 - b55 + b64 - b65)",
"m46 = (a33 + a34 - a36 - a43 - a44 + a46 - a53 - a54) * (-b45 + b46 - b55 + b56 + b68)",
"m47 = (a11 + a22) * (b11 + b22)",
"m48 = (a21 + a23 + a24 - a25 - a31 + a41) * (b16 + b26 - b36 + b46 - b55 + b56 + b57)",
"m49 = (a21 - a22 - a31 + a41) * (b11 + b23 - b24 + b25 - b27)",
"m50 = (a12 + a22 - a32) * (-b14 + b15 - b18 - b24 + b25 - b28 + b34 - b35 + b38)",
"m51 = (a52 + a53 + a54) * (b21 - b23 + b24 - b25 - b28 - b31 + b41 + b51 + b61)",
"m52 = (a23 + a24 - a36 + a46) * (-b45 + b46 - b55 + b56 - b61 - b63 + b64 - b65)",
"m53 = (a12 + a13 + a14 - a15 - a21 + a22 + a31 - a32) * (b26 - b36 + b46 - b54 + b56)",
"m54 = (a11 + a13) * (-b23 + b24 + b32 + b33 - b34 - b42 - b43 + b44)",
"m55 = (a12 - a21 + a22 + a31 - a32 - a41 + a42 - a51 + a52) * (b27 + b28 - b37 - b38)",
"m56 = (a33 + a34 - a35 - a43 - a44 + a45 - a53 - a54) * (-b46 + b55 - b56 + b58)",
"m57 = (a21 - a22 - a31 + a32 + a41 - a42 + a51 - a52) * (-b23 + b24 - b25 - b28)",
"m58 = (a33 + a34 - a43 - a44) * (-b47 - b57 - b67)",
"m59 = (a12 + a13) * (-b23 + b24)",
"m60 = (a12 - a21 + a22 + a31 - a32) * (b14 - b15 + b18 + b24 - b25 - b27 - b34 + b35 + b37)",
"m61 = (a13 + a14 + a23 + a24 - a31 - a33 - a34 + a41 + a43 + a44) * (-b21 + b22 + b31 - b32)",
"m62 = (a33 + a34 - a43 - a44 - a53 - a54) * (b48 + b58 + b68)",
"m63 = (a44 - a46 + a54 - a56) * (b55 - b56 - b68)",
"m64 = (a11 - a12) * (-b22)",
"m65 = (a42 + a43 + a52 + a53) * (b37 + b38)",
"m66 = (a26 - a36 + a46 - a55 + a56) * (b51 + b53 - b54 - b66)",
"m67 = (a26 - a36 + a46 - a52 - a53 - a54 + a56) * (b31 - b41 - b51 - b61)",
"m68 = (a21 - a22 - a31 + a32 + a41 - a42) * (-b23 + b24 - b25 + b27)",
"m69 = (a11 - a23 - a24 + a25) * (-b16 - b26 + b36 - b46 - b52 - b53 + b54 - b56)",
"m70 = (a25 - a26 - a35 + a36 + a42 + a43 + a44 - a46 + a52 + a53 + a54 - a56) * (b31 - b41 - b51)",
"m71 = (a21 + a23 + a24 - a25 - a31) * (b16 + b26 - b36 + b46 - b54 + b56)",
"m72 = (a12 + a13 + a22 + a23 - a32 - a33) * (-b34 + b44)",
"m73 = (a12 + a13 + a14 - a16 + a22 + a23 + a24 - a26 - a32 - a33 - a34 + a36) * (-b35 + b36 + b45 - b46 + b55 - b56 - b64 + b65)",
"m74 = (a16 + a26 - a36 + a46 + a51 + a53 + a54 + a56) * (b21 - b22 - b31 + b32 + b41 - b42 + b51 - b52 + b61 - b62)",
"m75 = (a12 + a13 - a21 + a22 + a31 - a32) * (b23 - b24 + b34 - b44)",
"m76 = (a26 - a36 + a46) * (b61 + b63 - b64 + b66)",
"m77 = (a23 + a24 - a34 + a44) * (b31 - b41 - b43 + b44)",
"m78 = (a12 + a13 + a14 - a15 - a21 + a22 + a31 - a32 - a41 + a42) * (b26 - b36 + b46 - b55 + b56 + b57)",
"m79 = (a12 + a13 + a14 - a16 - a21 + a22 + a31 - a32 - a41 + a42) * (b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 + b67)",
"m80 = (a12 + a13 + a22 + a23 - a32 - a33 + a42 + a43) * (b35 - b37 - b45 + b47)",
"m81 = (a31) * (-b11 + b13)",
"m82 = (a12 + a13 + a14 + a22 + a23 + a24 - a32 - a33 - a34 + a42 + a43 + a52 + a53) * (b37 + b48 + b58 + b68)",
"m83 = (a21 + a23 + a24 - a26 - a31 + a41 + a51) * (b15 - b16 + b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 - b68)",
"m84 = (a13 + a14 + a23 + a24) * (b42 + b43 - b44 + b45 + b52 + b53 - b54 + b55 + b62 + b63 - b64 + b65)",
"m85 = (a44 - a45 + a54 - a55) * (b53 - b54 + b55 - b56 + b58)",
"m86 = (a12 + a13 + a14 - a16 + a22 + a23 + a24 - a26 - a32 - a33 - a34 + a36 + a42 + a43 + a52 + a53) * (b35 - b36 - b45 + b46 - b55 + b56 + b68)",
"m87 = (a12 + a13 + a14 - a21 + a22 + a31 - a32 - a41 + a42) * (b27 - b37 + b47 + b57 + b67)",
"m88 = (a36 - a46) * (b63 - b64 + b66)",
"m89 = (a15 - a16 + a25 - a26 - a35 + a36 + a42 + a43 + a44 - a46 + a52 + a53 + a54 - a56) * (b21 - b22 - b31 + b41 + b51)",
"m90 = (a54) * (b33 - b34 + b35 + b38 - b43 + b44 - b45 - b48 - b53 + b54 - b63 + b64)",
"m91 = (a12 + a13 + a14 - a21 + a22 + a31 - a32) * (b27 - b37 + b44 - b45 + b54 - b55 + b64 - b65)",
"m92 = (a21 + a23 + a24 - a31 + a41 + a51) * (b17 + b27 - b37 - b48 - b58 - b68)",
"m93 = (a11) * (b12 + b13 - b14 + b15 - b18 + b22 + b23 - b24 + b25 + b27 - b32 - b33 + b34 - b35 - b37)",
"m94 = (a44 + a55) * (b47 + b48 + b57 + b58 + b67 + b68)",
"m95 = (a13 + a14 + a23 + a24 - a34 + a44) * (b32 - b42 - b43 + b44)",
"m96 = (a12 + a13) * (b23 - b24 + b36 - b46)",
"m97 = (a23 + a24) * (b41 + b43 - b44 + b45 + b51 + b53 - b54 + b55 + b61 + b63 - b64 + b65)",
"m98 = (a36 - a46 + a55 - a56) * (b53 - b54 - b66)",
"m99 = (a35 - a36 - a44 + a46 - a54 + a56) * (-b53 + b54)",
"m100 = (a56) * (b65 - b66 + b68)",
"m101 = (a12 + a13 - a21 + a22 + a31 - a32 - a41 + a42 - a51 + a52) * (-b23 + b24 - b35 - b38 + b45 + b48)",
"m102 = (a21 + a23 + a24 - a31 + a41) * (b17 + b27 - b37 + b47 + b57 + b67)",
"m103 = (a43 + a44 + a53 + a54) * (b12 - b13 + b22 - b23 - b32 + b33)",
"m104 = (a21 + a23 - a31 + a41) * (-b13 + b14 - b23 + b24 - b35 + b37 + b45 - b47)",
"m105 = (a11 + a13 + a14 - a15) * (-b26 + b36 - b46 - b52 - b53 + b54 - b56)",
"m106 = (a13 + a14 + a23 + a24 - a35 + a45) * (-b46 - b52 - b53 + b54 - b56)",
"m107 = (a12 + a13 - a21 + a22) * (-b23 + b24 - b35 + b45)",
"m108 = (a33 + a34 - a36 + a46) * (b45 - b46 + b55 - b56 - b64 + b65)",
"m109 = (a23 + a24 - a25) * (-b16 - b26 + b36 - b46 - b51 - b53 + b54 - b56)",
"m110 = (a33 + a34) * (b44 - b45 + b54 - b55 + b64 - b65)",
"m111 = (a44 - a45 + a54 - a55) * (b53 - b54)",
"m112 = (a12 + a13 + a14 + a22 + a23 + a24 - a32 - a33 - a34 + a42 + a43) * (b37 - b47 - b57 - b67)",
"m113 = (a21 - a22 - a31 + a41 + a51) * (b11 + b23 - b24 + b25 + b28)",
"m114 = (a46 - a54 + a56) * (-b33 + b43 + b53 - b54 + b63 - b64)",
"m115 = (a33 + a44) * (b33 - b44)",
"m116 = (a44 - a46 + a54 - a56) * (-b33 + b43 + b53 - b54 - b55 + b56 + b68)",
"m117 = (a23 + a24) * (-b17 - b27 + b37 - b41 - b43 + b44 - b45 - b51 - b53 + b54 - b55 - b61 - b63 + b64 - b65)",
"m118 = (a31 - a41 - a51) * (b11 - b13 + b14 - b15 - b18)",
"m119 = (a21 + a23 + a24 - a26 - a31 + a41) * (b15 - b16 + b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56 + b67)",
"m120 = (a54 - a55) * (b47 + b48 + b58 + b68)",
"m121 = (a15 - a16 + a25 - a26 - a35 + a36 + a44 - a46 + a54 - a56) * (-b32 + b42 - b53 + b54)",
"m122 = (a31 - a41 + a53 + a54) * (-b12 + b13 - b14 + b15 + b18 + b21 - b22 - b31 + b32)",
"m123 = (a12 + a13 + a14 - a16 - a21 + a22) * (b25 - b26 - b35 + b36 + b45 - b46 + b55 - b56)",
"m124 = (a55) * (b55 + b58 + b66)",
"m125 = (a16 + a26 - a36 + a46 - a55 + a56) * (b52 + b53 - b54 - b66)",
"m126 = (a46) * (b64 - b66)",
"m127 = (a11 - a23 - a24 + a26) * (-b15 + b16 - b25 + b26 + b35 - b36 - b45 + b46 - b55 + b56 - b62 - b63 + b64 - b65)",
"m128 = (a12 + a13 + a14 - a15 - a21 + a22 + a31 - a32 - a41 + a42 - a51 + a52) * (b26 - b36 + b46 - b55 + b56 - b58)",
"m129 = (a31 - a41) * (b11 - b12 + b21 - b22 - b31 + b32)",
"m130 = (a12 + a13 + a14 - a16 + a22 + a23 + a24 - a26 - a32 - a33 - a34 + a36 + a42 + a43) * (b35 - b36 - b45 + b46 - b55 + b56 - b67)",
"m131 = (a24 - a25 - a34 + a35) * (b31 - b41)",
"m132 = (a14 - a15 + a24 - a25 - a34 + a35) * (b21 - b22 - b31 - b36 + b41 + b46 - b54 + b56)",
"m133 = (a46 + a56) * (b12 - b13 - b22 + b23 + b32 - b33 - b42 + b43 - b52 + b53 - b62 + b63)",
"m134 = (a13 + a14 + a23 + a24 - a36 + a46) * (-b45 + b46 - b55 + b56 - b62 - b63 + b64 - b65)",
"m135 = (a14 - a15 + a24 - a25 - a34 + a35) * (-b32 + b42)",
"m136 = (a16 + a26 - a36 + a46) * (b62 + b63 - b64 + b66)",
"m137 = (a21 - a22 - a31 + a32) * (b23)",
"m138 = (a21 - a22 - a31) * (-b11 - b23)",
"m139 = (a21 - a31 + a41 + a51) * (b17 + b18 + b27 + b28 - b37 - b38)",
"m140 = (a33 + a34 - a35 + a45) * (b46 - b54 + b56)",
"m141 = (a53 + a54) * (-b14 + b15 + b18 - b24 + b25 + b28 + b34 - b35 - b38)",
"m142 = (a46 - a55 + a56) * (b54 + b66)",
"m143 = (a32 - a42 + a53 + a54) * (-b21 + b23 - b24 + b25 + b28 + b31)",
"m144 = (a11 + a21) * (-b11 + b12)",
"m145 = (a12 + a13 + a22 + a23) * (b35 - b45)",
"m146 = (a44 - a45) * (b55 - b56 - b57)",
"m147 = (a15 - a16 + a25 - a26 - a35 + a36 + a45 - a46 + a55 - a56) * (b52 + b53 - b54)",
"m148 = (a55 - a56) * (b66)",
"m149 = (a16 + a26 - a36 + a46 - a54 + a56) * (-b32 + b42 - b53 + b54 - b63 + b64)",
"m150 = (a53 + a54) * (-b12 + b13 - b22 + b23 + b32 - b33)",
"m151 = (a11) * (b17 + b18)",
"m152 = (a23) * (-b13 + b14 - b23 + b24 + b31 + b33 - b34 - b41 - b43 + b44)",
"m153 = (a11 + a13 + a14 - a16) * (-b25 + b26 + b35 - b36 - b45 + b46 - b55 + b56 - b62 - b63 + b64 - b65)",
"m154 = (a16 + a26 - a36 + a46 - a52 - a53 - a54 + a56) * (b21 - b22 - b31 + b41 + b51 + b61)",
"m155 = (a55 - a56) * (b67)",
"m156 = (a33 + a34 - a35 - a43 - a44 + a45) * (-b46 + b55 - b56 - b57)",
"m157 = (a31 - a41) * (b12 - b13 + b14 - b15 + b17 - b21 + b22 + b31 - b32)",
"m158 = (a35 - a45) * (-b46 - b53 + b54 - b56)",
"m159 = (a33 - a43) * (b33 - b34 + b35 - b37 - b45 + b47)",
"m160 = (a21 - a22) * (-b23 + b24 - b25)",
"m161 = (a51 + a53 + a54) * (b12 - b13 + b14 - b15 - b18 + b21 - b22 - b31 + b32 + b41 - b42 + b51 - b52 + b61 - b62)",
"m162 = (a23 + a24 - a32 - a33 - a34 + a42 + a43 + a44) * (-b31)",
"m163 = (a13 + a14 + a23 + a24 - a32 - a33 - a34 + a42 + a43 + a44) * (-b21 + b22 + b31)",
"m164 = (a14 - a15 + a24 - a25 - a34 + a35) * (-b32 - b36 + b42 + b46)",
"m165 = (a34 - a44) * (-b43 + b44)",
"m166 = (a25 - a26 - a35 + a36 + a45 - a46 + a55 - a56) * (b51 + b53 - b54)",
"m167 = (a11 - a12 + a21 - a22 - a31 + a32) * (b14 - b15 + b18)",
"m168 = (a21 - a31) * (b14 - b15 - b17 + b24 - b25 - b27 - b34 + b35 + b37)",
"m169 = (a36 - a46 + a54 - a56) * (-b53 + b54 - b63 + b64)",
"m170 = (a21 + a23) * (-b13 + b14 - b23 + b24 - b35 + b45)"
],
"elements": [
"c11 = m17 + m31 + m39 + m47 + m64 + m67 + m70 + m89 + m131 + m132 + m154 + m162 + m163",
"c12 = -m23 - m24 + m28 - m29 + m36 + m41 - m52 + m64 - m66 + m69 - m76 - m77 + m84 + m93 + m95 + m97 + m106 + m109 + m117 + m121 + m125 + m127 + m131 + m134 + m135 + m136 + m147 + m149 + m151 + m152 - m166",
"c13 = m23 + m24 - m28 + m29 - m36 + m37 + m40 - m41 + m52 + m53 + m54 + m60 + m66 - m69 + m75 + m76 + m77 - m84 + m91 - m95 - m97 + m105 - m106 - m109 - m117 - m121 - m125 - m127 - m131 - m134 - m135 - m136 + m137 - m147 - m149 - m151 - m152 + m153 + m166 + m167",
"c14 = m23 - m28 - m36 + m37 + m40 + m52 + m53 + m59 + m60 + m66 - m69 + m75 + m76 - m84 + m91 - m97 + m105 - m106 - m109 - m117 - m125 - m127 - m134 - m136 + m137 - m147 - m151 + m153 + m166 + m167",
"c15 = m6 + m23 - m28 + m52 + m59 + m66 - m69 + m76 + m105 - m106 - m107 - m109 + m123 - m125 - m127 - m134 - m136 - m147 + m153 - m160 + m166",
"c16 = m23 + m34 + m59 + m66 - m69 + m96 + m105 - m106 - m109 - m125 - m147 + m166",
"c17 = m6 - m36 + m37 + m42 + m68 - m78 - m79 - m84 + m87 - m97 - m107 - m117 + m123 - m160",
"c18 = -m2 - m6 + m25 + m36 - m37 + m55 - m57 + m84 + m97 - m101 + m107 + m117 - m123 + m128 + m151 + m160",
"c21 = m15 + m20 + m23 + m24 + m29 - m39 + m52 + m66 + m76 + m77 + m88 + m97 + m98 + m111 - m131 + m158 + m160 + m165 + m166 + m169",
"c22 = m15 + m20 + m23 + m24 - m28 + m29 - m36 - m41 + m47 + m52 + m66 - m69 + m76 + m77 + m88 - m93 - m97 + m98 - m109 + m111 - m117 - m127 - m131 + m144 - m151 - m152 + m158 + m160 + m165 + m166 + m169",
"c23 = m4 + m15 - m20 - m23 - m24 + m28 - m29 + m44 + m45 - m52 - m66 + m71 - m76 - m77 + m81 - m88 + m97 - m98 + m109 - m111 + m117 + m131 + m138 + m152 - m158 + m160 - m165 - m166 + m168 - m169",
"c24 = m4 + m15 - m20 - m23 + m28 + m44 + m45 - m52 - m59 - m66 + m71 - m76 + m81 - m88 + m97 - m98 + m99 + m107 + m109 - m111 + m117 + m138 + m145 - m158 + m160 - m166 + m168 + m170",
"c25 = m12 + m19 - m20 - m23 + m28 - m52 - m59 - m66 - m76 - m88 - m98 + m99 + m107 + m109 - m111 + m145 - m158 + m160 - m166",
"c26 = m6 + m7 + m11 + m12 - m23 - m34 - m59 - m66 - m96 - m98 + m99 + m109 - m111 - m135 - m158 + m164 - m166",
"c27 = m12 - m15 + m19 - m48 + m49 + m97 + m102 + m104 + m117 - m119 + m129 + m157 - m170",
"c28 = m3 - m9 - m12 + m15 - m19 + m83 - m92 - m97 - m113 - m117 - m118 + m139 + m170",
"c31 = m14 + m15 + m20 + m21 + m23 + m24 + m29 + m38 + m52 + m66 + m67 + m70 + m76 + m77 + m88 + m97 + m98 + m111 + m137 + m138 + m158 + m160 + m162 + m165 + m166 + m169",
"c32 = m14 + m15 + m16 + m20 + m21 + m22 + m30 + m35 + m38 + m61 + m74 + m81 + m84 + m88 - m89 + m95 + m98 + m106 + m111 + m121 + m125 + m134 + m136 + m137 + m138 + m147 + m149 - m154 + m158 + m160 - m163 + m165 + m169",
"c33 = m5 + m15 - m20 + m63 + m81 - m88 - m98 + m108 + m110 - m111 + m114 + m115 + m116 + m126 + m137 + m138 + m140 + m142 - m158 + m160 - m165 - m169",
"c34 = m5 + m15 - m20 + m44 + m72 + m75 + m81 - m88 - m98 + m99 + m107 + m108 + m110 - m111 + m126 + m137 + m138 + m140 + m142 + m145 - m158 + m160 + m170",
"c35 = -m4 + m5 + m6 + m11 + m12 + m19 - m20 - m31 + m33 - m40 - m53 - m71 + m73 - m88 - m98 + m99 + m108 - m111 + m123 + m126 + m140 + m142 - m158",
"c36 = m5 + m6 + m7 + m11 + m12 - m31 - m53 - m71 - m98 + m99 - m111 + m140 + m142 - m158",
"c37 = m6 + m11 + m12 - m13 - m15 + m19 + m33 + m42 + m43 - m45 - m48 + m49 + m68 - m78 - m79 + m80 + m87 - m91 + m102 + m104 - m107 + m110 + m112 - m119 + m123 + m129 - m130 - m145 + m157 - m160 - m170",
"c38 = -m2 + m3 - m6 - m9 + m10 - m11 - m12 + m15 - m19 + m25 - m26 - m33 - m43 + m45 + m50 + m55 - m57 + m60 + m65 - m82 + m83 + m86 + m91 - m92 - m101 + m107 - m110 - m113 - m118 - m123 + m128 + m139 + m145 + m160 + m168 + m170",
"c41 = m8 + m14 + m21 + m24 + m29 + m38 + m49 + m66 + m67 + m68 + m70 + m76 + m88 + m98 + m111 + m137 + m138 + m166 + m169",
"c42 = m8 + m14 + m16 + m21 + m22 + m30 + m35 + m38 + m49 + m68 + m74 + m81 + m88 - m89 + m98 + m111 + m121 + m125 + m129 + m136 + m137 + m138 + m147 + m149 - m154 + m169",
"c43 = m5 + m8 + m21 + m22 + m49 + m63 + m68 + m81 - m88 - m98 + m103 - m111 + m114 + m116 + m126 + m129 + m137 + m138 + m142 + m150 - m169",
"c44 = m5 + m8 + m21 + m22 + m42 + m44 + m49 + m68 + m72 + m75 + m80 + m81 + m103 + m104 - m115 + m126 + m129 + m137 + m138 + m142 + m148 + m150 + m159",
"c45 = m1 - m4 + m5 + m13 + m18 - m31 + m32 - m40 + m48 - m53 - m71 + m73 + m78 + m79 + m108 + m119 + m126 + m130 + m140 + m142 + m146 + m148 + m155 + m156",
"c46 = m5 + m13 - m31 + m48 - m53 - m71 + m78 + m140 + m142 + m146 + m148 + m156",
"c47 = m1 + m18 + m43 - m45 + m58 + m87 - m91 + m102 + m110 + m112 + m146 + m155",
"c48 = -m1 - m2 + m3 + m8 - m9 + m10 - m13 - m18 + m25 - m26 - m27 - m32 + m42 - m43 + m45 + m46 - m48 + m49 + m50 + m55 + m56 - m57 + m60 - m62 + m65 + m68 - m78 - m79 + m80 - m82 + m83 + m86 + m91 - m92 - m101 + m104 - m110 - m113 - m118 - m119 - m122 + m128 + m129 - m130 + m139 + m141 - m143 - m146 + m150 - m155 - m156 + m159 + m168",
"c51 = -m8 - m29 - m49 + m51 + m57 - m66 - m67 - m68 - m76 - m88 - m98 + m113 + m143 - m169",
"c52 = -m8 - m49 + m51 + m57 - m68 - m74 - m88 - m98 + m113 + m118 + m122 - m125 - m129 - m136 + m143 - m149 + m154 + m161 - m169",
"c53 = -m8 + m35 + m38 - m49 + m51 + m57 - m68 + m88 + m98 + m113 - m114 + m118 + m122 - m126 - m129 + m133 - m142 + m143 - m150 + m161 + m169",
"c54 = -m8 + m9 + m26 + m27 + m35 + m38 - m42 - m49 + m51 + m57 - m68 - m80 + m90 + m101 - m104 + m113 - m114 + m118 + m122 - m126 - m129 + m133 - m142 + m143 - m148 - m150 - m159 + m161",
"c55 = -m1 + m3 + m10 - m13 + m25 - m32 + m46 - m48 + m56 - m63 - m78 - m79 + m83 + m85 + m86 + m100 - m111 - m119 + m124 + m128 - m130 - m146 - m148 - m155 - m156",
"c56 = m3 + m10 - m13 - m48 + m56 - m78 + m85 - m111 + m124 + m128 - m146 - m148 - m156",
"c57 = m2 - m58 + m62 + m82 - m87 + m92 + m94 - m102 - m112 + m120 - m155",
"c58 = m1 - m3 - m8 + m9 - m10 + m13 - m25 + m26 + m27 + m32 - m42 - m46 + m48 - m49 - m56 + m57 + m63 - m68 + m78 + m79 - m80 - m83 - m85 - m86 + m101 - m104 + m111 + m113 + m118 + m119 + m122 - m128 - m129 + m130 - m141 + m143 + m146 - m150 + m155 + m156 - m159"
],
"u": [
[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, 0, 0, 1, -1],
[0, 1, 1, 1, 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, 1, 0, 1, 1, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1],
[0, 1, 1, 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, 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, 0, 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, 1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 1, 1, 1, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, -1, -1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0],
[0, 1, 1, 1, -1, 0, 0, 1, 1, 1, -1, 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, 1, 0, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 1, 1, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, -1, 0, 1, 1, 1, 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, 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],
[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, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1],
[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, 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, -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, -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, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1],
[0, 1, 1, 1, 0, -1, -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, 1, 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],
[0, 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, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0, -1, -1, 0, -1, -1, 0, -1, -1, 0, -1],
[0, 1, 1, 1, -1, 0, 0, 1, 1, 1, -1, 0, 0, -1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 1, 1, 1, 0, -1, 0, 1, 1, 1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1],
[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, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -1, -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, 0, 0, 0, 0],
[0, 1, 1, 1, 0, -1, -1, 1, 0, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 1, 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, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, -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, 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, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, -1, 0, 1, 0, 0, -1, -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, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 1, -1, 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, 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, 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, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 1, 1, 1, -1, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
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],
"invariant_f": "420x^2y^2z^2 + 8x^3yz + 4x^2y^2z + 8xy^3z + 4x^2yz^2 + 4xy^2z^2 + 8xyz^3 + 136x^2yz + 136xy^2z + 136xyz^2 + 156xyz",
"invariant_g": "w^277 + w^268 + w^255",
"type": "70X^2Y^2Z^2 + 3XY^3Z + 2XY^2Z^2 + XYZ^3 + 15X^2YZ + 29XY^2Z + 24XYZ^2 + 26XYZ"
}