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875 lines (875 loc) · 110 KB
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{
"n": [5, 7, 8],
"m": 204,
"z2": false,
"complexity": 2606,
"multiplications": [
"m1 = (a33 + a36 + a37 + a43 + a46 + a53 + a57) * (-b14 - b18 + b34 + b38)",
"m2 = (a11 + a12 + a14) * (b43)",
"m3 = (a42 + a44 + a45 + a46 + a47) * (b51 + b53)",
"m4 = (a22 + a24) * (-b18 + b28)",
"m5 = (-a31 + a32) * (b25 + b27)",
"m6 = (a37 + a57) * (b14 + b18 - b34 - b38 - b42 - b44 + b46 - b48 + b52 + b54 + b55 - b56 + b57 + b58 - b62 - b64 - b65 + b66 - b67 - b68 + b72 + b74 - b76 + b78)",
"m7 = (a55 + a56) * (-b42 + b46 + b52 + b55 - b56 + b57)",
"m8 = (a11 + a12 + a14 + a21 + a22 + a24) * (b18)",
"m9 = (a32 + a35 + a36 + a52 + a55 + a56) * (b14 + b18 - b42 - b44 + b46 - b48 + b52 + b54 + b55 - b56 + b57 + b58)",
"m10 = (a17 + a27) * (-b66 + b73 + b76)",
"m11 = (a44 + a47 - a55 - a56) * (-b42 + b46 + b51 + b53)",
"m12 = (a22 + a42) * (-b12 + b21 - b22 + b23 + b25 + b27 + b31 + b34 - b51 + b52 - b53 + b61 - b62 + b64 + b65)",
"m13 = (a12 + a22 + a25) * (b27 + b56)",
"m14 = (a41 + a43 + a45 + a46) * (b55 + b57)",
"m15 = (a53 + a57) * (-b45 - b47 + b75 + b77)",
"m16 = (a11 + a13 + a15 + a16 + a21 + a23 + a25 + a26 + a41 + a43 + a45 + a46 + a51 + a53 + a55 + a56) * (b65)",
"m17 = (a24 + a27 + a44 + a47) * (b31 - b35 - b61 + b65 - b71 + b75)",
"m18 = (a32 + a34 + a35 + a36) * (b24 + b28)",
"m19 = (-a13 + a16 - a23 + a26) * (b63)",
"m20 = (a15 + a21 + a25 + a41 + a43 + a45 + a46 + a55 + a56) * (b12 - b16 - b32 + b55 + b57 - b65)",
"m21 = (a14 + a15 + a24) * (b47 + b58)",
"m22 = (a36) * (-b24 - b28 + b64 + b65 + b67 + b68)",
"m23 = (a34) * (b24 - b44 - b45 + b74 + b75)",
"m24 = (a32 + a34 + a35 + a36 + a37 + a52 + a54 + a55 + a56 + a57) * (-b14 - b18 + b42 + b44 - b46 + b48)",
"m25 = (a33 + a43 + a47 + a53 + a57) * (-b11 - b13 + b31 + b33)",
"m26 = (a12 + a14 + a17 + a24 + a27 + a44 + a47 + a52 + a54 + a57) * (-b35 + b65 + b71 - b72 + b74 + b75)",
"m27 = (a36 + a46) * (-b14 - b18 + b34 + b38 - b41 - b43 - b44 - b45 - b47 - b48 + b51 + b53 + b54 + b58 - b61 - b63 - b64 - b68 + b71 + b73 + b74 + b75 + b77 + b78)",
"m28 = (a15 + a16 + a25 + a26 + a45 + a46 + a55 + a56) * (b31 - b32 + b34 + b61 - b62 + b64)",
"m29 = (a33) * (b17 + b18 + b27 + b34 + b35)",
"m30 = (a12 + a14 + a15 + a52 + a54 + a55) * (-b42 + b72)",
"m31 = (-a12 + a34 - a52) * (b24 + b42 - b72)",
"m32 = (a11 + a14 + a34 + a51 + a54) * (-b14 + b34 - b45 + b75)",
"m33 = (a52) * (-b11 - b13 - b21 + b22 - b23 + b25 - b26 + b27 + b41 - b42 + b43 + b46)",
"m34 = (a14 + a24) * (b18 - b43 + b46 - b48 + b58)",
"m35 = (a12 + a14 + a15 + a32 + a34 + a35 + a36 + a37 + a52 + a54 + a55 + a56 + a57) * (b52 + b54 + b55 - b56 + b57 + b58 - b62 - b64 - b65)",
"m36 = (a47 + a57) * (b11 + b13 - b31 - b33 - b41 + b42 - b43 - b46 + b71 - b72 + b73 + b76)",
"m37 = (-a13 + a16) * (-b37 - b68 + b73 + b78)",
"m38 = (a21) * (b13 + b17 - b23)",
"m39 = (a24 + a27 + a44 + a47) * (b74 + b75)",
"m40 = (a12 + a14 - a15 - a16 + a17 + a52 + a54 - a55 - a56 + a57) * (b31 - b35 + b65 - b72 + b74 + b75)",
"m41 = (a35) * (b16 + b26 - b28 - b56 + b57 + b58)",
"m42 = (a25 + a35 + a45) * (-b14 + b34 - b41 - b44 - b45 + b51 + b54 - b61 - b64 + b71 + b74 + b75)",
"m43 = (a12 + a52) * (-b13 + b22 - b23 + b25 - b26 + b27 + b31 - b35 - b42 + b43 + b46 + b65 + b74 + b75)",
"m44 = (a32 + a52) * (-b12 + b16 - b22 - b24 + b26 - b28 + b52 + b54 + b55 - b56 + b57 + b58)",
"m45 = (a24 + a25 + a35 + a44 + a45) * (-b41 - b44 - b45 + b51 - b61 + b71 + b74 + b75)",
"m46 = (a24 + a27 + a34 + a37 + a44 + a47) * (b74 + b75)",
"m47 = (a56) * (b42 - b46 - b52 - b55 + b56 - b57 + b62 + b65 - b66 + b67 - b72 + b76)",
"m48 = (-a13 + a16 + a17) * (b36 - b38 - b68 + b73 + b78)",
"m49 = (a21 + a41) * (b11 + b15 - b31 - b35 - b55 + b65)",
"m50 = (a14 + a15) * (b47)",
"m51 = (a32 + a35 + a36 + a52) * (-b24 - b28 + b52 + b54 + b55 - b56 + b57 + b58)",
"m52 = (a15 + a16 + a55 + a56) * (b31 - b35 - b62 - b72 + b74 + b75)",
"m53 = (a21 + a25 + a41 + a43 + a45 + a46) * (b55 + b57 - b65)",
"m54 = (a11 + a13 + a14 + a17 + a51 + a53 + a54 + a57) * (b31 - b35 + b65 - b74)",
"m55 = (a24 + a25 + a35 + a36 + a44 + a45 + a46 + a47) * (b41 + b43 + b44 + b45 + b47 + b48 - b51 - b53 + b61 - b71 - b74 - b75)",
"m56 = (a16) * (-b37 - b66 - b67 + b73 + b76 + b77)",
"m57 = (a14 + a15 + a24 + a25) * (b58)",
"m58 = (-a12 + a34 + a37 - a52) * (-b11 - b13 - b21 - b23 + b41 - b42 + b43 + b46 + b72)",
"m59 = (a36 + a37 + a46 + a47) * (b73 + b77 + b78)",
"m60 = (a22 + a24 + a25 + a42 + a44 + a45 + a46 + a47) * (b51 + b53 - b61)",
"m61 = (a16 + a17) * (-b36 + b38 + b68 - b73 - b76 - b77)",
"m62 = (a11 + a15 + a21 + a25) * (b53)",
"m63 = (a31 - a32 + a33 + a41 + a43 + a45 + a46 + a51 - a52 + a53 + a55 + a56) * (-b12 + b16)",
"m64 = (a35 + a36 + a45 + a46) * (-b14 - b18 + b51 + b53 + b54 + b58)",
"m65 = (a43 + a46 + a56) * (-b12 + b16 + b32 - b36 - b55 - b57 + b65 + b67)",
"m66 = (a34 + a37 + a51 + a53 + a54 + a57) * (b14 + b18 + b45 + b47)",
"m67 = (a37) * (b24 + b28 - b44 - b45 - b47 - b48 + b74 + b75 + b77 + b78)",
"m68 = (a12 + a15 + a22 + a25) * (b56)",
"m69 = (a23 + a27) * (-b68 + b78)",
"m70 = (a11 + a14 + a21 + a25 + a31 + a33 + a34 + a35 + a36 + a37 + a41 + a43 + a45 + a46 + a51 + a53 + a54 + a57) * (b38)",
"m71 = (a11 + a14 + a51 + a53 + a54 + a57) * (b45 + b47 - b75)",
"m72 = (a24 + a44 + a47) * (b41 + b43 + b45 + b47 - b51 - b53 + b61 - b71 - b75)",
"m73 = (a34 + a37) * (-b11 - b13 - b21 - b23 + b41 + b43)",
"m74 = (a11 + a14 + a21 - a22 + a24 + a31 - a32 + a41 - a42 + a44 + a51 + a54) * (-b11 + b31)",
"m75 = (a12 + a14 + a24 + a44 + a52 + a54) * (b11 - b31 - b41 - b42 + b71 + b72)",
"m76 = (a56 + a57) * (b42 - b46 - b72 + b76)",
"m77 = (-a22 + a35 - a42) * (-b16 - b24 - b26 + b56 + b64 + b65)",
"m78 = (a11 + a13 + a14 + a17 + a21 + a23 + a25 + a26 + a41 + a43 + a45 + a46 + a51 + a53 + a54 + a57) * (b31 - b35 + b65)",
"m79 = (a43) * (b11 + b13 + b15 + b17 - b31 - b33 - b35 - b37 - b55 - b57 + b65 + b67)",
"m80 = (a11 + a12) * (b16 - b43)",
"m81 = (a36 + a43 + a46) * (-b14 - b18 + b34 + b38 - b55 - b57 + b65 + b67)",
"m82 = (a11 + a14 + a24 + a44 + a47 + a51 + a53 + a54 + a57) * (b11 + b13 - b31 + b45 + b47 - b75)",
"m83 = (a11 + a21) * (-b13 + b16 + b53)",
"m84 = (-a13 + a16 - a23) * (b37 - b63)",
"m85 = (a44 + a47) * (b41 + b43 + b45 + b47 - b51 - b53)",
"m86 = (a22 - a31 + a32 + a42) * (-b11 + b25 + b31)",
"m87 = (a35 + a36 + a41 + a43 + a45 + a46) * (b14 + b18 + b55 + b57)",
"m88 = (-a31 + a32) * (b27)",
"m89 = (a34 + a37 - a52) * (-b11 - b13 - b21 - b23 + b41 - b42 + b43 + b46)",
"m90 = (a16 + a17 + a27) * (-b66 + b73 + b76 + b77)",
"m91 = (a12 - a31 + a32 + a52) * (-b12 + b25 + b32)",
"m92 = (a15) * (-b17 - b47 + b56 + b57)",
"m93 = (a11 + a51) * (b12 + b15 - b32 - b35 - b45 + b75)",
"m94 = (a24 + a25 + a34 + a35 + a44 + a45) * (b43 + b47 + b48)",
"m95 = (a31 - a32 + a33 + a41 - a42 + a43 + a44 + a47 + a51 + a53 + a54 + a57) * (b11 + b13)",
"m96 = (a11 + a12 + a14 + a24) * (b18 + b43)",
"m97 = (a24) * (b18 - b28 + b43 + b47 + b48)",
"m98 = (a21 + a23 + a25 + a26 + a41 + a43 + a45 + a46) * (-b31 + b35)",
"m99 = (a36 + a46 + a47) * (-b41 - b43 - b44 - b45 - b47 - b48 + b51 + b53 - b61 - b63 + b71 + b73 + b74 + b75 + b77 + b78)",
"m100 = (a15 + a16 - a21 + a22 - a23 + a25 + a26 - a41 + a42 - a43 + a45 + a46 + a55 + a56) * (b31 - b32 + b34 + b64 + b65)",
"m101 = (-a21 + a22 - a23 + a25 + a26 - a41 + a42 - a43 + a45 + a46) * (b64 + b65)",
"m102 = (a22 + a42) * (-b12 - b22 + b31 + b34 + b52 - b62 + b64 + b65)",
"m103 = (a24 - a25 - a26 + a27 + a44 - a45 - a46 + a47) * (b31 - b35 - b61 + b65)",
"m104 = (a33 + a43 + a46 + a53 + a56) * (b12 - b16 - b32 + b36)",
"m105 = (a37 + a56 + a57) * (b42 - b46 - b52 - b54 - b55 + b56 - b57 - b58 + b62 + b64 + b65 - b66 + b67 + b68 - b72 + b76)",
"m106 = (a11 + a13 + a14 + a17 + a24 + a27 + a44 + a47 + a51 + a53 + a54 + a57) * (-b35 + b65 - b74)",
"m107 = (-a32 - a34 + a36 - a42 + a46 + a47) * (b41 + b43 + b44 + b45 + b47 + b48 - b71 - b74 - b75)",
"m108 = (a24 + a44) * (-b41 - b45 + b51 - b61 + b71 + b75)",
"m109 = (a16 + a17 + a26 + a27) * (b66)",
"m110 = (a11 + a14 + a21 + a25 + a31 + a34 + a35 + a41 + a45 + a51 + a54) * (-b18 + b38)",
"m111 = (-a23 + a26 + a27) * (b68)",
"m112 = (a53) * (b12 + b15 - b16 + b17 - b32 - b35 + b36 - b37 - b45 - b47 + b75 + b77)",
"m113 = (a13 + a23) * (-b33 - b63 + b73)",
"m114 = (a22 + a32 + a34 + a42) * (b28)",
"m115 = (a14 + a17 + a24 + a27 + a44 + a47 + a54 + a57) * (-b35 + b65 + b75)",
"m116 = (a41 + a43) * (-b11 - b13 - b15 - b17 + b55 + b57)",
"m117 = (a15 + a16 + a24 + a27 + a44 + a47 + a55 + a56) * (b31 - b35 - b61 + b65 - b72 + b74 + b75)",
"m118 = (a46 + a47) * (-b51 - b53 + b61 + b63)",
"m119 = (a14 + a15 + a34 + a37 + a54 + a55 + a56 + a57) * (-b42 + b46 + b72)",
"m120 = (a44 + a47 + a51 + a53 + a54 + a57) * (b11 + b13 + b45 + b47)",
"m121 = (a21 + a25 + a35 + a41 + a45) * (-b14 + b34 - b55 + b65)",
"m122 = (a12 + a14 + a24 + a44 + a47 + a52 + a54 + a57) * (-b11 - b13 + b31 + b41 - b42 + b43 + b46 - b71 + b72)",
"m123 = (a15 + a21 + a25 + a41 + a45 + a55) * (-b12 + b32 - b55 + b65)",
"m124 = (a21 + a25 + a41 + a45) * (-b55 + b65)",
"m125 = (a47 - a56) * (b42 - b46 - b51 - b53 + b61 + b63 - b72 + b76)",
"m126 = (a13 + a17 + a23 + a27) * (b73)",
"m127 = (a16 + a17 + a23) * (-b36 + b38 + b68)",
"m128 = (a13 - a16 + a27) * (-b68 + b73 + b78)",
"m129 = (a27) * (-b68 + b73 + b77 + b78)",
"m130 = (a37 + a53 + a57) * (-b14 - b18 + b34 + b38 - b45 - b47 + b75 + b77)",
"m131 = (a31) * (b14 + b15 + b17 + b18 + b25 + b27)",
"m132 = (-a12 + a31 - a32 + a33 - a52) * (-b12 + b16 + b25 + b27 + b32)",
"m133 = (a11 + a13 + a51 + a53) * (-b31 + b32 + b65 - b74)",
"m134 = (a11 + a14 + a34 + a37 + a51 + a53 + a54 + a57) * (b14 + b18 - b34 + b45 + b47 - b75)",
"m135 = (-a22 + a31 - a32 + a33 - a42) * (-b11 - b13 + b25 + b27 + b31)",
"m136 = (a15 - a24 - a44 + a55) * (-b42 - b51 + b61 + b72)",
"m137 = (a11 - a12 + a15 + a21 + a25 + a31 - a32 + a33 + a41 + a43 + a45 + a46 + a51 - a52 + a53 + a55 + a56) * (-b12 + b16 + b32)",
"m138 = (a22 + a25) * (b27)",
"m139 = (a12) * (-b16 + b26 + b27 + b43 - b46)",
"m140 = (-a15 + a24 + a44 + a47 - a55 - a56) * (-b42 + b46 + b51 + b53 - b61 + b72)",
"m141 = (a21 + a23 + a41 + a43) * (b34 + b35 + b64 + b65)",
"m142 = (a45 + a46 + a55 + a56) * (b12 - b16 + b22 - b26 - b52 + b56)",
"m143 = (a33) * (b34 + b35 + b37 + b38)",
"m144 = (a47) * (-b41 - b43 - b45 - b47 + b51 + b53 - b61 - b63 + b71 + b73 + b75 + b77)",
"m145 = (a15 + a22 + a25 + a42 + a45 + a46 + a55 + a56) * (b12 - b16 - b32 + b51 - b52 + b53 + b56 - b61 + b62)",
"m146 = (a41 + a43 + a45 + a46 + a55 + a56) * (b12 - b16 + b55 + b57)",
"m147 = (a11 - a12 + a15 + a21 + a25 + a31 - a32 + a41 + a45 + a51 - a52 + a55) * (-b12 + b32)",
"m148 = (a11 + a51 + a53) * (-b12 - b15 + b16 - b17 + b32 + b35 + b45 + b47 - b75)",
"m149 = (a47 + a53 + a57) * (-b11 - b13 + b31 + b33 - b45 - b47 + b75 + b77)",
"m150 = (a31 - a32 + a33 - a52) * (-b12 + b16 + b25 + b27)",
"m151 = (a12 + a22) * (-b18 + b23 - b26 + b28 + b56)",
"m152 = (a25) * (-b27 + b53 + b57 + b58)",
"m153 = (a14 + a34 + a37 + a54 + a57) * (b14 + b18 - b34 - b42 - b44 + b46 - b48 + b52 + b54 + b55 - b56 + b57 + b58 - b62 - b64 - b65 + b72 + b74)",
"m154 = (a44 + a47 + a52 + a54 + a57) * (-b11 - b13 + b41 - b42 + b43 + b46)",
"m155 = (a22 + a42) * (-b16 + b21 + b25 - b26 - b51 + b56 + b61)",
"m156 = (-a12 + a24) * (-b18 + b28 + b43 - b46)",
"m157 = (a12 + a32 + a35 + a52) * (b16 + b26 - b28 + b52 + b54 + b55 - b56 + b57 + b58 - b62 - b64 - b65)",
"m158 = (a35) * (-b24 - b28 + b54 + b55 + b57 + b58)",
"m159 = (a35 + a36 - a42) * (b24 + b28 + b51 + b53)",
"m160 = (a31 + a33 + a34 + a35 + a36 + a37 + a41 + a43 + a45 + a46 + a51 + a53 + a54 + a57) * (b14 + b18)",
"m161 = (a42 + a45 + a46 + a55 + a56) * (-b22 + b26 + b51 + b53)",
"m162 = (a21 + a25 + a35 + a36 + a41 + a43 + a45 + a46) * (b14 + b18 - b34 + b55 + b57 - b65)",
"m163 = (a12 - a21) * (b16 - b23)",
"m164 = (a11 + a15) * (b17)",
"m165 = (a34 + a37) * (-b11 - b13 - b21 - b23 - b24 - b28 + b41 + b43 + b44 + b45 + b47 + b48 - b74 - b75)",
"m166 = (a23) * (b33 + b37 - b68 + b78)",
"m167 = (a12 + a14) * (-b43 + b46)",
"m168 = (a11 + a13 + a14 + a17 + a21 + a23 + a24 + a27 + a41 + a43 + a44 + a47 + a51 + a53 + a54 + a57) * (-b35 + b65)",
"m169 = (a22 + a42) * (b23 + b27 - b53)",
"m170 = (a15 + a55 + a56) * (-b42 + b46 + b52 + b55 - b56 + b57 - b62 - b65 + b72)",
"m171 = (a23) * (b33 + b37 + b38 + b68)",
"m172 = (-a11 - a13 + a15 + a16 - a21 + a22 - a23 + a25 + a26 - a41 + a42 - a43 + a45 + a46 - a51 - a53 + a55 + a56) * (b31 - b32 + b34)",
"m173 = (a26) * (b63 + b67)",
"m174 = (a42) * (b21 + b23 + b25 + b27 - b51 - b53)",
"m175 = (a31 + a33) * (b17 + b18 + b27)",
"m176 = (a33) * (-b12 + b16 + b25 + b27 + b32 + b34 + b35 - b36 + b37 + b38)",
"m177 = (a32 + a34 + a37 + a42) * (-b11 - b13 - b21 - b23 - b24 - b28 + b41 + b43 + b44 + b45 + b47 + b48 - b71 - b74 - b75)",
"m178 = (-a22 + a35 + a36 - a42) * (b24 + b28 - b64 - b65)",
"m179 = (a46 + a56) * (-b12 + b16 + b32 - b36 - b51 + b52 - b53 - b56 + b61 - b62 + b63 + b66)",
"m180 = (a15 + a22 + a25 + a42 + a45 + a55) * (b12 - b32 - b51 - b52 + b61 + b62)",
"m181 = (a51 + a53 + a54 + a57) * (b45 + b47)",
"m182 = (a11 + a15 + a21) * (b17 + b53)",
"m183 = (a34 + a37 + a54 + a55 + a56 + a57) * (-b42 + b46)",
"m184 = (a12 + a52) * (-b11 - b21 + b41)",
"m185 = (a25 + a35 + a36 + a45 + a46) * (-b14 - b18 + b34 - b41 - b43 - b44 - b45 - b47 - b48 + b51 + b53 + b54 + b58 - b61 - b64 + b71 + b74 + b75)",
"m186 = (a12 + a52) * (b22 + b25 + b31 - b35 - b42 + b65 + b74 + b75)",
"m187 = (a15 + a55) * (b42 - b52 - b55 + b62 + b65 - b72)",
"m188 = (a31 - a32 + a33 - a42) * (-b11 - b13 + b25 + b27)",
"m189 = (a21 + a41 + a43) * (-b11 - b13 - b15 - b17 + b31 + b35 + b55 + b57 - b65)",
"m190 = (a33) * (-b11 - b13 + b25 + b27 + b31 + b33 + b34 + b35 + b37 + b38)",
"m191 = (a43 + a46) * (-b55 - b57 + b65 + b67)",
"m192 = (a12 + a32 + a35 + a36 + a52) * (-b24 - b28 + b52 + b54 + b55 - b56 + b57 + b58 - b62 - b64 - b65)",
"m193 = (a36 + a37 + a56 + a57) * (-b52 - b54 - b55 + b56 - b57 - b58 + b62 + b64 + b65 - b66 + b67 + b68)",
"m194 = (a14 + a15 + a34 + a54 + a55) * (b14 - b34 - b42 - b44 + b72 + b74)",
"m195 = (a11 + a14 + a24 + a44 + a51 + a54) * (-b11 + b31 - b45 + b75)",
"m196 = (a22 + a32 + a42) * (b13 + b23 + b28)",
"m197 = (a21 + a22) * (b18 + b23)",
"m198 = (a22 + a24 + a25 + a42 + a44 + a45) * (-b51 + b61)",
"m199 = (a15 + a55) * (b14 - b34 - b44 + b54 - b64 + b74)",
"m200 = (a11 + a14 + a51 + a54) * (-b45 + b75)",
"m201 = (a11 + a14 + a21 - a22 + a24 + a31 - a32 + a33 + a41 - a42 + a43 + a44 + a47 + a51 + a53 + a54 + a57) * (b11 + b13 - b31)",
"m202 = (a13 + a23) * (b33 + b36 + b63)",
"m203 = (a44 + a47) * (b41 + b43 + b44 + b45 + b47 + b48)",
"m204 = (a51 + a53) * (-b12 - b15 + b16 - b17 + b45 + b47)"
],
"elements": [
"c11 = -m2 + m11 + m17 + m26 + m38 - m39 - m40 + m54 + m58 - m71 - m72 - m80 + m82 + m83 + m85 - m89 - m106 - m117 - m119 - m120 + m122 - m140 - m154 + m163 + m164 + m181 - m182 + m183",
"c12 = m2 - m7 - m13 - m14 - m16 - m20 - m33 - m39 - m40 + m43 - m52 + m53 + m58 + m63 + m68 + m78 + m80 - m89 + m98 - m106 + m115 - m119 + m132 + m133 - m137 + m138 + m139 + m146 - m150 + m167 + m170 + m183 + m184",
"c13 = m2 - m37 - m38 + m69 + m80 - m83 - m84 - m113 + m126 - m128 - m163 - m164 - m166 + m182",
"c14 = m2 + m7 - m9 - m16 - m21 - m24 + m34 + m35 - m39 + m46 + m50 + m51 - m54 - m66 - m71 + m78 - m96 + m97 + m98 + m100 - m101 + m119 + m133 + m134 - m153 + m156 - m167 - m170 - m172 + m181 - m183 - m192",
"c15 = -m13 + m14 + m16 + m20 - m39 - m50 - m53 + m54 - m63 + m68 + m71 - m78 - m92 - m98 - m106 + m115 - m132 + m137 + m138 - m146 - m148 + m150 - m164 - m181 + m204",
"c16 = m2 + m10 - m13 - m61 + m68 - m69 + m80 - m90 + m113 - m126 + m127 + m129 + m138 + m139 + m166 + m167 - m171 + m202",
"c17 = -m10 + m13 + m37 + m50 - m56 - m68 + m90 + m92 + m128 - m129 - m138 + m164",
"c18 = -m2 + m21 - m34 + m48 - m50 - m69 + m96 - m97 + m113 - m126 + m127 + m128 - m156 + m166 + m167 - m171 + m202",
"c21 = m2 - m3 + m8 + m12 - m17 - m38 + m39 - m54 + m60 - m62 + m71 + m72 + m78 - m82 - m85 - m95 - m96 - m102 + m103 + m106 + m120 + m135 - m164 - m168 - m174 - m181 + m182 - m188 - m197 + m201",
"c22 = -m2 - m3 + m4 + m7 - m8 + m11 - m12 + m13 + m14 + m20 - m28 + m39 + m52 - m53 + m60 + m96 - m98 + m100 + m103 - m117 - m138 - m139 - m140 + m141 + m142 - m145 - m146 - m151 + m155 - m156 + m161 - m163 + m169 - m170 + m197",
"c23 = -m2 - m8 + m19 + m37 + m38 + m62 - m69 + m84 + m96 + m128 + m164 + m166 - m182 + m197",
"c24 = -m2 + m3 - m4 - m8 + m14 + m21 - m50 - m53 + m54 + m55 - m57 - m64 - m72 - m78 + m85 - m87 + m96 - m97 - m98 + m101 - m106 + m141 + m159 + m162 + m168 - m178 + m185 - m203",
"c25 = -m14 - m21 + m39 + m50 + m53 - m54 + m57 + m62 - m71 + m78 + m82 + m95 + m98 + m106 + m116 - m120 - m135 - m138 - m152 + m164 - m168 + m181 - m182 + m188 - m189 - m201",
"c26 = -m2 + m4 - m8 + m13 + m61 + m69 + m90 + m96 + m109 - m127 - m129 - m138 - m139 - m151 - m156 - m163 - m166 + m171 + m197",
"c27 = -m19 + m21 - m37 - m50 - m57 - m62 - m84 - m128 + m129 + m138 + m152 - m164 + m173 + m182",
"c28 = m2 + m4 + m8 - m21 + m50 + m57 + m69 - m96 + m97 + m111 - m166 + m171",
"c31 = -m5 - m18 + m23 + m45 + m55 + m60 + m86 + m88 - m94 - m107 + m114 + m135 + m159 + m165 + m169 - m174 - m177 - m188 - m196 + m198",
"c32 = -m5 - m12 - m18 + m31 - m33 + m43 - m44 + m51 + m58 + m77 + m88 - m89 + m91 + m102 + m114 + m132 - m150 + m155 + m157 - m158 + m169 + m178 + m184 - m186 - m192",
"c33 = -m23 - m45 - m55 + m59 - m60 - m67 + m73 - m86 - m88 + m94 - m99 - m114 - m118 - m135 - m143 - m165 - m169 + m190 + m196 - m198",
"c34 = m1 + m12 + m14 + m18 - m23 + m32 - m39 - m41 + m46 - m53 - m66 - m70 - m71 - m77 - m87 - m102 + m110 - m114 + m121 - m124 + m134 - m155 + m158 + m160 + m162 - m169 - m178 + m181 - m200",
"c35 = -m1 + m5 - m14 + m29 - m32 + m53 + m66 + m70 + m71 + m87 - m88 - m110 - m121 + m124 + m131 - m134 - m160 - m162 - m175 - m181 + m200",
"c36 = -m12 - m18 + m22 + m31 + m43 + m58 - m73 - m76 + m77 + m88 + m91 + m102 + m105 + m114 + m132 + m143 + m155 + m157 + m169 - m176 + m178 + m184 - m186 - m192 - m193",
"c37 = -m15 - m29 + m32 - m53 - m70 - m71 + m81 + m88 + m110 + m121 - m124 + m130 + m134 + m143 + m162 + m175 - m191 - m200",
"c38 = -m12 + m15 + m22 + m23 - m32 + m41 + m53 + m67 + m70 + m71 - m73 + m77 - m81 + m102 - m110 + m114 - m121 + m124 - m130 - m134 + m155 - m162 + m165 + m169 + m178 + m191 + m200",
"c41 = -m2 + m3 + m5 - m8 + m38 - m60 + m62 - m71 - m72 - m74 + m82 + m85 - m86 - m88 + m95 + m96 - m108 - m120 - m135 + m164 - m169 + m174 + m181 - m182 + m188 + m195 + m197 - m198 - m200 - m201",
"c42 = m2 + m3 - m4 - m7 + m8 - m11 + m12 - m13 - m14 - m20 + m53 - m60 - m96 - m102 - m123 + m124 + m136 + m138 + m139 + m140 - m142 + m145 + m146 + m151 - m155 + m156 - m161 + m163 - m169 + m170 - m180 + m187 - m197 + m198",
"c43 = m2 + m8 + m15 + m25 - m38 + m60 - m62 + m71 + m72 + m74 - m82 + m86 + m88 - m96 + m108 + m118 + m135 + m143 + m144 - m149 - m164 + m169 + m182 - m190 - m195 - m197 + m198 + m200 + m201",
"c44 = m2 - m3 + m4 + m8 - m12 - m14 - m21 + m41 + m42 - m45 + m50 + m53 - m55 + m57 + m64 + m72 + m77 - m85 + m87 - m96 + m97 + m102 + m108 - m121 + m124 + m155 - m158 - m159 - m162 + m169 + m178 - m185 + m203",
"c45 = -m5 + m14 + m21 + m49 - m50 - m53 - m57 - m62 + m71 + m74 - m82 + m86 + m88 - m95 - m116 + m120 - m124 + m135 + m138 + m152 - m164 - m181 + m182 - m188 + m189 - m195 + m200 + m201",
"c46 = m2 - m4 + m8 + m12 - m13 - m20 + m47 + m53 - m60 - m65 - m96 - m102 - m118 - m123 + m124 + m125 + m136 + m138 + m139 + m140 + m145 + m151 - m155 + m156 + m163 - m169 + m170 + m179 - m180 + m187 + m191 - m197 + m198",
"c47 = -m15 - m21 - m25 - m49 + m50 + m53 + m57 + m62 - m71 - m74 - m79 + m82 - m86 - m88 + m124 - m135 - m138 - m143 + m149 - m152 + m164 - m182 - m189 + m190 + m191 + m195 - m200 - m201",
"c48 = -m2 - m4 - m8 + m12 + m21 - m22 - m27 - m41 - m42 + m45 - m50 - m53 + m55 - m57 - m72 - m77 + m81 + m96 - m97 + m99 - m102 - m108 + m121 - m124 - m144 - m155 + m162 - m169 - m178 + m185 - m191",
"c51 = m2 - m11 + m30 - m38 - m58 + m71 + m72 - m75 + m80 - m82 - m83 - m85 + m89 + m108 + m119 + m120 - m122 - m136 + m140 + m154 - m163 - m164 - m181 + m182 - m183 - m184 - m195 + m200",
"c52 = -m2 + m5 + m7 + m13 + m14 + m20 - m30 + m33 - m43 - m53 - m58 - m63 - m68 - m80 - m88 + m89 - m91 + m119 + m123 - m124 - m132 + m137 - m138 - m139 - m146 - m147 + m150 - m167 - m170 - m183 - m184 + m186 - m187",
"c53 = -m2 - m15 - m30 + m36 + m38 + m58 - m71 - m72 - m73 + m75 - m76 - m80 + m82 + m83 - m108 - m119 + m122 - m125 + m136 - m140 - m144 + m149 + m163 + m164 - m182 + m184 + m195 - m200",
"c54 = -m2 - m7 + m9 + m21 + m23 + m24 + m30 - m31 - m32 - m34 - m35 + m39 - m46 - m50 - m51 + m66 + m71 + m96 - m97 - m119 - m134 + m153 - m156 + m167 + m170 - m181 + m183 + m192 - m194 + m199 + m200",
"c55 = -m5 + m13 - m14 - m20 + m50 + m53 + m63 - m68 - m71 + m88 + m91 + m92 + m93 - m123 + m124 + m132 - m137 - m138 + m146 + m147 + m148 - m150 + m164 + m181 - m200 - m204",
"c56 = -m2 + m13 + m20 - m30 - m43 - m47 - m53 - m58 + m65 - m68 + m73 + m76 - m80 - m88 - m91 + m104 + m119 + m123 - m124 - m132 + m137 - m138 - m139 - m143 - m147 - m167 - m170 + m176 - m184 + m186 - m187 - m191",
"c57 = -m13 + m15 + m20 - m50 - m53 + m65 + m68 + m71 - m88 - m91 - m92 - m93 + m104 - m112 + m123 - m124 - m132 + m137 + m138 - m143 - m147 - m148 - m164 + m176 - m191 + m200",
"c58 = m2 + m6 - m15 - m18 - m21 - m23 - m30 + m31 + m32 + m34 + m35 - m47 + m50 - m67 - m71 + m73 - m96 + m97 + m105 + m119 + m130 + m134 - m153 + m156 - m165 - m167 - m170 - m192 + m194 - m199 - m200"
],
"u": [
[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, 1, 0, 0, 0, 1, 0, 0, 0, 1],
[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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0],
[0, 0, 0, 0, 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, 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, -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, 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, 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, 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, 1, 0, 0, 0, 1],
[1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 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, 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, 1, 1, 1, 0, 0, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 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, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 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, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1],
[0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 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, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
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],
"invariant_f": "18x^4y^4z^4 + 4x^6y^2z^2 + 4x^4y^4z^2 + 4x^2y^6z^2 + 6x^4y^3z^3 + 6x^3y^4z^3 + 4x^4y^2z^4 + 6x^3y^3z^4 + 4x^2y^4z^4 + 4x^2y^2z^6 + x^6y^2z + x^2y^6z + x^6yz^2 + 4x^5y^2z^2 + 2x^4y^3z^2 + 2x^3y^4z^2 + 4x^2y^5z^2 + xy^6z^2 + 2x^4y^2z^3 + 2x^2y^4z^3 + 2x^3y^2z^4 + 2x^2y^3z^4 + 4x^2y^2z^5 + x^2yz^6 + xy^2z^6 + x^5y^2z + x^2y^5z + x^5yz^2 + 8x^4y^2z^2 + 8x^3y^3z^2 + 8x^2y^4z^2 + xy^5z^2 + 8x^3y^2z^3 + 8x^2y^3z^3 + 8x^2y^2z^4 + x^2yz^5 + xy^2z^5 + 2x^5yz + 3x^4y^2z + 3x^2y^4z + 2xy^5z + 3x^4yz^2 + 8x^3y^2z^2 + 8x^2y^3z^2 + 3xy^4z^2 + 8x^2y^2z^3 + 3x^2yz^4 + 3xy^2z^4 + 2xyz^5 + 2x^4yz + 4x^3y^2z + 4x^2y^3z + 2xy^4z + 4x^3yz^2 + 246x^2y^2z^2 + 4xy^3z^2 + 4x^2yz^3 + 4xy^2z^3 + 2xyz^4 + 70x^3yz + 34x^2y^2z + 70xy^3z + 34x^2yz^2 + 34xy^2z^2 + 70xyz^3 + 76x^2yz + 76xy^2z + 76xyz^2 + 216xyz",
"invariant_g": "w^418 + w^338 + w^319",
"type": "3X^4Y^4Z^4 + 2X^2Y^6Z^2 + 3X^3Y^4Z^3 + 2X^2Y^4Z^4 + 2X^3Y^4Z^2 + XY^6Z^2 + 2X^2Y^2Z^5 + 2X^4Y^2Z^2 + 2X^2Y^4Z^2 + XY^5Z^2 + 4X^2Y^3Z^3 + X^5YZ + 2X^2Y^4Z + X^3Y^2Z^2 + X^2Y^3Z^2 + XY^4Z^2 + 2X^2Y^2Z^3 + XY^4Z + 41X^2Y^2Z^2 + 4XY^3Z^2 + 7X^3YZ + 7X^2Y^2Z + 18XY^3Z + 10XY^2Z^2 + 10XYZ^3 + 5X^2YZ + 28XY^2Z + 5XYZ^2 + 36XYZ"
}