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3x8x15_m270_ZT.json
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1144 lines (1144 loc) · 182 KB
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{
"n": [3, 8, 15],
"m": 270,
"z2": false,
"complexity": 2163,
"multiplications": [
"m1 = (-a15 - a21 - a25) * (-b15 + b54)",
"m2 = (a18) * (b34 - b35 + b44 - b45 + b75 - b85)",
"m3 = (-a16 - a26 - a36) * (-b65)",
"m4 = (a18 + a35 + a38) * (b21 + b23 + b24 + b81 + b83 + b84)",
"m5 = (a18 + a33) * (b21 - b34 + b35 - b44 + b45 - b71 - b75 + b81 + b85)",
"m6 = (a12 + a13 - a18 + a22 + a25 - a28 + a32 + a33 + a35 - a38) * (b21)",
"m7 = (a13 - a15 + a33) * (-b21 + b31)",
"m8 = (a23) * (b21 + b22 + b25 - b31 - b32 - b35 - b51 - b52 - b53 - b55 - b61 - b62 - b65 + b72)",
"m9 = (-a16 - a21 + a22 - a28 - a36) * (b24 - b64)",
"m10 = (a23 - a24 + a27 + a33 - a34) * (-b23 + b33)",
"m11 = (a26 + a27 + a36) * (b63 + b72)",
"m12 = (a13 - a14 + a17 + a37) * (b23 + b71 + b73 + b74)",
"m13 = (a11 + a37) * (b11 + b13 + b15 + b24 - b74 + b84)",
"m14 = (a15 - a16 - a36) * (b52 - b61)",
"m15 = (a15 - a16 - a22 - a25 + a28 - a36) * (b52)",
"m16 = (a36) * (-b61 - b62 - b63 + b64)",
"m17 = (-a17 - a18 - a27) * (b24 - b75 + b84)",
"m18 = (a11 + a31 + a33 - a34) * (b13 + b14 + b24 - b53 - b54)",
"m19 = (a12 + a13 - a18 + a33) * (b21 + b32 + b42)",
"m20 = (a21 + a25) * (-b53 + b71 + b75)",
"m21 = (-a17 - a18 + a24 - a27 - a28) * (b24 + b84)",
"m22 = (a13 - a14 - a16 - a36) * (b24 - b64)",
"m23 = (-a23 + a26 + a36) * (b22 + b25 - b32 - b52 - b62 - b65 + b72)",
"m24 = (-a15) * (b21 - b31 - b51 - b53 - b54 - b61)",
"m25 = (a36) * (-b65)",
"m26 = (a23 - a25 - a35) * (b21 - b51 - b53 - b55)",
"m27 = (a17 + a18) * (-b53 - b54 + b71)",
"m28 = (-a24 - a37 - a38) * (b24 - b41 + b84)",
"m29 = (-a13 + a14 + a16 + a22 + a23 - a24 - a28 + a36) * (-b42)",
"m30 = (a13 - a14 + a23) * (b34 + b44 - b45)",
"m31 = (a28 - a35) * (-b15 + b21 + b23 + b24 + b55 + b81 + b83 + b84)",
"m32 = (-a21 - a25 + a27 + a28 + a37 + a38) * (b71 + b75)",
"m33 = (-a21) * (b14 + b24 + b44 - b45 - b54)",
"m34 = (a21 + a31 - a37) * (b11 + b13 + b15)",
"m35 = (a11 + a31 + a35) * (b11 + b53 + b54)",
"m36 = (a28 - a33 + a38) * (b21 - b71 - b75 + b81 + b85)",
"m37 = (-a28 - a37 - a38) * (b23 + b71 + b75 + b83)",
"m38 = (-a14 - a34 + a37 + a38) * (-b41)",
"m39 = (-a15 - a23) * (b21 - b31 - b51 - b53 - b55 - b61)",
"m40 = (-a24 + a33 - a34) * (-b33 - b41 - b43 - b45)",
"m41 = (a13 - a14 - a16 - a36) * (-b42 - b63)",
"m42 = (-a23 + a26 + a36) * (b32 + b42 - b61)",
"m43 = (-a12 + a17 + a18 - a26 - a27 - a36) * (b72)",
"m44 = (a24 - a31 + a34 - a35) * (b33 + b43)",
"m45 = (-a37) * (b11 + b13 + b15 - b23 + b72 + b73 - b83)",
"m46 = (a35) * (b11 + b21 + b23 + b24 - b51 - b52 + b81 + b83 + b84)",
"m47 = (-a11 + a14 - a15 - a21 - a25) * (b15)",
"m48 = (a21 - a35) * (b11 + b15 + b53)",
"m49 = (-a12 + a17 + a18 + a37) * (-b23 + b72)",
"m50 = (a15 + a25 + a28) * (b15 - b55)",
"m51 = (a15 - a16 + a23 - a26 - a36) * (-b61)",
"m52 = (a28) * (b15 + b22 - b24 + b25 - b55 + b82 - b84 + b85)",
"m53 = (a13 - a14 + a21 + a23 - a24) * (-b44 + b45)",
"m54 = (a21 - a33 + a34) * (b13 + b14 + b24 + b44 - b45 - b53 - b54)",
"m55 = (-a12 - a16 - a36) * (b24 + b42 - b52 - b62)",
"m56 = (-a12 - a13 + a18 + a23 - a26 - a36) * (b32 + b42)",
"m57 = (a11 + a31 - a32 + a38) * (b12 + b24)",
"m58 = (-a21 + a22 + a26 - a28 - a31 + a32 + a36 - a38) * (b12)",
"m59 = (-a11 + a17 + a27) * (b24 - b74 + b84)",
"m60 = (-a14) * (b15 + b34 + b44)",
"m61 = (-a11 + a12 + a16 - a18 - a31 + a32 + a36 - a38) * (b24)",
"m62 = (-a12 + a17 + a18 - a22 - a23 + a24 + a28 - a32 - a33 + a34 + a37 + a38) * (b23)",
"m63 = (-a17 - a18 - a21 - a25) * (-b53 - b54 + b71 + b75)",
"m64 = (-a13 + a14 + a27) * (b23 - b33 - b63 + b71 + b73 + b74)",
"m65 = (a18) * (b24 + b32 + b42 - b72 + b82)",
"m66 = (-a13 + a14 + a16 + a26 + a27 + a36) * (-b63)",
"m67 = (-a14 - a33) * (-b33 - b34 - b41 - b43 - b44)",
"m68 = (a12) * (b22 - b32 - b52 - b62 + b72)",
"m69 = (a21 - a22 - a26 + a28) * (-b64)",
"m70 = (a18 - a37) * (b23 + b24 + b71 + b83 + b84)",
"m71 = (a22 + a25 - a28 + a35) * (b21 + b52)",
"m72 = (-a13 + a14) * (b23 + b24 - b33 - b34 - b63 - b64 + b71 + b73 + b74)",
"m73 = (a12 - a26 - a36) * (b22 + b25 - b32 - b52 - b62 + b72)",
"m74 = (-a27) * (b23 - b33 - b63 + b71 + b73 + b75)",
"m75 = (-a11 - a15 + a17 + a18 - a31 - a35) * (b53 + b54)",
"m76 = (a21 - a22 - a26 + a28 - a36) * (b12 + b64)",
"m77 = (-a31 - a35) * (b11 + b15 - b33 - b43)",
"m78 = (a22 + a26 - a28 + a36) * (b12 + b22 + b25 + b42 - b52)",
"m79 = (-a32) * (b22 + b82)",
"m80 = (a22 + a23 - a24 - a28 + a33 - a34) * (b23 - b42)",
"m81 = (a28 + a32) * (b22 + b25 + b82)",
"m82 = (-a14 - a31 - a35) * (-b15 + b33 + b43)",
"m83 = (-a12 - a22 - a32) * (b25)",
"m84 = (a32 - a38) * (b12 + b21 + b23 - b82)",
"m85 = (-a13 + a18 - a23) * (b34 - b35 + b44 - b45)",
"m86 = (-a33 + a34) * (-b13 - b14 - b24 - b41 - b42 - b43 - b44 + b53 + b54)",
"m87 = (-a11) * (b12 - b14 + b15 + b24 - b74 + b84)",
"m88 = (-a24) * (b24 + b45 + b84)",
"m89 = (a37 + a38) * (b23 + b24 - b41 + b83 + b84)",
"m90 = (-a33) * (b21 + b31 + b32 + b33 + b35 + b41 + b42 + b43 + b45 - b71 - b75 + b81 + b85)",
"m91 = (-a15 - a21 - a25) * (-b110 + b59)",
"m92 = (a18) * (b39 - b310 + b49 - b410 + b710 - b810)",
"m93 = (-a16 - a26 - a36) * (-b610)",
"m94 = (a18 + a35 + a38) * (b26 + b28 + b29 + b86 + b88 + b89)",
"m95 = (a18 + a33) * (b26 - b39 + b310 - b49 + b410 - b76 - b710 + b86 + b810)",
"m96 = (a12 + a13 - a18 + a22 + a25 - a28 + a32 + a33 + a35 - a38) * (b26)",
"m97 = (a13 - a15 + a33) * (-b26 + b36)",
"m98 = (a23) * (b26 + b27 + b210 - b36 - b37 - b310 - b56 - b57 - b58 - b510 - b66 - b67 - b610 + b77)",
"m99 = (-a16 - a21 + a22 - a28 - a36) * (b29 - b69)",
"m100 = (a23 - a24 + a27 + a33 - a34) * (-b28 + b38)",
"m101 = (a26 + a27 + a36) * (b68 + b77)",
"m102 = (a13 - a14 + a17 + a37) * (b28 + b76 + b78 + b79)",
"m103 = (a11 + a37) * (b16 + b18 + b110 + b29 - b79 + b89)",
"m104 = (a15 - a16 - a36) * (b57 - b66)",
"m105 = (a15 - a16 - a22 - a25 + a28 - a36) * (b57)",
"m106 = (a36) * (-b66 - b67 - b68 + b69)",
"m107 = (-a17 - a18 - a27) * (b29 - b710 + b89)",
"m108 = (a11 + a31 + a33 - a34) * (b18 + b19 + b29 - b58 - b59)",
"m109 = (a12 + a13 - a18 + a33) * (b26 + b37 + b47)",
"m110 = (a21 + a25) * (-b58 + b76 + b710)",
"m111 = (-a17 - a18 + a24 - a27 - a28) * (b29 + b89)",
"m112 = (a13 - a14 - a16 - a36) * (b29 - b69)",
"m113 = (-a23 + a26 + a36) * (b27 + b210 - b37 - b57 - b67 - b610 + b77)",
"m114 = (-a15) * (b26 - b36 - b56 - b58 - b59 - b66)",
"m115 = (a36) * (-b610)",
"m116 = (a23 - a25 - a35) * (b26 - b56 - b58 - b510)",
"m117 = (a17 + a18) * (-b58 - b59 + b76)",
"m118 = (-a24 - a37 - a38) * (b29 - b46 + b89)",
"m119 = (-a13 + a14 + a16 + a22 + a23 - a24 - a28 + a36) * (-b47)",
"m120 = (a13 - a14 + a23) * (b39 + b49 - b410)",
"m121 = (a28 - a35) * (-b110 + b26 + b28 + b29 + b510 + b86 + b88 + b89)",
"m122 = (-a21 - a25 + a27 + a28 + a37 + a38) * (b76 + b710)",
"m123 = (-a21) * (b19 + b29 + b49 - b410 - b59)",
"m124 = (a21 + a31 - a37) * (b16 + b18 + b110)",
"m125 = (a11 + a31 + a35) * (b16 + b58 + b59)",
"m126 = (a28 - a33 + a38) * (b26 - b76 - b710 + b86 + b810)",
"m127 = (-a28 - a37 - a38) * (b28 + b76 + b710 + b88)",
"m128 = (-a14 - a34 + a37 + a38) * (-b46)",
"m129 = (-a15 - a23) * (b26 - b36 - b56 - b58 - b510 - b66)",
"m130 = (-a24 + a33 - a34) * (-b38 - b46 - b48 - b410)",
"m131 = (a13 - a14 - a16 - a36) * (-b47 - b68)",
"m132 = (-a23 + a26 + a36) * (b37 + b47 - b66)",
"m133 = (-a12 + a17 + a18 - a26 - a27 - a36) * (b77)",
"m134 = (a24 - a31 + a34 - a35) * (b38 + b48)",
"m135 = (-a37) * (b16 + b18 + b110 - b28 + b77 + b78 - b88)",
"m136 = (a35) * (b16 + b26 + b28 + b29 - b56 - b57 + b86 + b88 + b89)",
"m137 = (-a11 + a14 - a15 - a21 - a25) * (b110)",
"m138 = (a21 - a35) * (b16 + b110 + b58)",
"m139 = (-a12 + a17 + a18 + a37) * (-b28 + b77)",
"m140 = (a15 + a25 + a28) * (b110 - b510)",
"m141 = (a15 - a16 + a23 - a26 - a36) * (-b66)",
"m142 = (a28) * (b110 + b27 - b29 + b210 - b510 + b87 - b89 + b810)",
"m143 = (a13 - a14 + a21 + a23 - a24) * (-b49 + b410)",
"m144 = (a21 - a33 + a34) * (b18 + b19 + b29 + b49 - b410 - b58 - b59)",
"m145 = (-a12 - a16 - a36) * (b29 + b47 - b57 - b67)",
"m146 = (-a12 - a13 + a18 + a23 - a26 - a36) * (b37 + b47)",
"m147 = (a11 + a31 - a32 + a38) * (b17 + b29)",
"m148 = (-a21 + a22 + a26 - a28 - a31 + a32 + a36 - a38) * (b17)",
"m149 = (-a11 + a17 + a27) * (b29 - b79 + b89)",
"m150 = (-a14) * (b110 + b39 + b49)",
"m151 = (-a11 + a12 + a16 - a18 - a31 + a32 + a36 - a38) * (b29)",
"m152 = (-a12 + a17 + a18 - a22 - a23 + a24 + a28 - a32 - a33 + a34 + a37 + a38) * (b28)",
"m153 = (-a17 - a18 - a21 - a25) * (-b58 - b59 + b76 + b710)",
"m154 = (-a13 + a14 + a27) * (b28 - b38 - b68 + b76 + b78 + b79)",
"m155 = (a18) * (b29 + b37 + b47 - b77 + b87)",
"m156 = (-a13 + a14 + a16 + a26 + a27 + a36) * (-b68)",
"m157 = (-a14 - a33) * (-b38 - b39 - b46 - b48 - b49)",
"m158 = (a12) * (b27 - b37 - b57 - b67 + b77)",
"m159 = (a21 - a22 - a26 + a28) * (-b69)",
"m160 = (a18 - a37) * (b28 + b29 + b76 + b88 + b89)",
"m161 = (a22 + a25 - a28 + a35) * (b26 + b57)",
"m162 = (-a13 + a14) * (b28 + b29 - b38 - b39 - b68 - b69 + b76 + b78 + b79)",
"m163 = (a12 - a26 - a36) * (b27 + b210 - b37 - b57 - b67 + b77)",
"m164 = (-a27) * (b28 - b38 - b68 + b76 + b78 + b710)",
"m165 = (-a11 - a15 + a17 + a18 - a31 - a35) * (b58 + b59)",
"m166 = (a21 - a22 - a26 + a28 - a36) * (b17 + b69)",
"m167 = (-a31 - a35) * (b16 + b110 - b38 - b48)",
"m168 = (a22 + a26 - a28 + a36) * (b17 + b27 + b210 + b47 - b57)",
"m169 = (-a32) * (b27 + b87)",
"m170 = (a22 + a23 - a24 - a28 + a33 - a34) * (b28 - b47)",
"m171 = (a28 + a32) * (b27 + b210 + b87)",
"m172 = (-a14 - a31 - a35) * (-b110 + b38 + b48)",
"m173 = (-a12 - a22 - a32) * (b210)",
"m174 = (a32 - a38) * (b17 + b26 + b28 - b87)",
"m175 = (-a13 + a18 - a23) * (b39 - b310 + b49 - b410)",
"m176 = (-a33 + a34) * (-b18 - b19 - b29 - b46 - b47 - b48 - b49 + b58 + b59)",
"m177 = (-a11) * (b17 - b19 + b110 + b29 - b79 + b89)",
"m178 = (-a24) * (b29 + b410 + b89)",
"m179 = (a37 + a38) * (b28 + b29 - b46 + b88 + b89)",
"m180 = (-a33) * (b26 + b36 + b37 + b38 + b310 + b46 + b47 + b48 + b410 - b76 - b710 + b86 + b810)",
"m181 = (-a15 - a21 - a25) * (-b115 + b514)",
"m182 = (a18) * (b314 - b315 + b414 - b415 + b715 - b815)",
"m183 = (-a16 - a26 - a36) * (-b615)",
"m184 = (a18 + a35 + a38) * (b211 + b213 + b214 + b811 + b813 + b814)",
"m185 = (a18 + a33) * (b211 - b314 + b315 - b414 + b415 - b711 - b715 + b811 + b815)",
"m186 = (a12 + a13 - a18 + a22 + a25 - a28 + a32 + a33 + a35 - a38) * (b211)",
"m187 = (a13 - a15 + a33) * (-b211 + b311)",
"m188 = (a23) * (b211 + b212 + b215 - b311 - b312 - b315 - b511 - b512 - b513 - b515 - b611 - b612 - b615 + b712)",
"m189 = (-a16 - a21 + a22 - a28 - a36) * (b214 - b614)",
"m190 = (a23 - a24 + a27 + a33 - a34) * (-b213 + b313)",
"m191 = (a26 + a27 + a36) * (b613 + b712)",
"m192 = (a13 - a14 + a17 + a37) * (b213 + b711 + b713 + b714)",
"m193 = (a11 + a37) * (b111 + b113 + b115 + b214 - b714 + b814)",
"m194 = (a15 - a16 - a36) * (b512 - b611)",
"m195 = (a15 - a16 - a22 - a25 + a28 - a36) * (b512)",
"m196 = (a36) * (-b611 - b612 - b613 + b614)",
"m197 = (-a17 - a18 - a27) * (b214 - b715 + b814)",
"m198 = (a11 + a31 + a33 - a34) * (b113 + b114 + b214 - b513 - b514)",
"m199 = (a12 + a13 - a18 + a33) * (b211 + b312 + b412)",
"m200 = (a21 + a25) * (-b513 + b711 + b715)",
"m201 = (-a17 - a18 + a24 - a27 - a28) * (b214 + b814)",
"m202 = (a13 - a14 - a16 - a36) * (b214 - b614)",
"m203 = (-a23 + a26 + a36) * (b212 + b215 - b312 - b512 - b612 - b615 + b712)",
"m204 = (-a15) * (b211 - b311 - b511 - b513 - b514 - b611)",
"m205 = (a36) * (-b615)",
"m206 = (a23 - a25 - a35) * (b211 - b511 - b513 - b515)",
"m207 = (a17 + a18) * (-b513 - b514 + b711)",
"m208 = (-a24 - a37 - a38) * (b214 - b411 + b814)",
"m209 = (-a13 + a14 + a16 + a22 + a23 - a24 - a28 + a36) * (-b412)",
"m210 = (a13 - a14 + a23) * (b314 + b414 - b415)",
"m211 = (a28 - a35) * (-b115 + b211 + b213 + b214 + b515 + b811 + b813 + b814)",
"m212 = (-a21 - a25 + a27 + a28 + a37 + a38) * (b711 + b715)",
"m213 = (-a21) * (b114 + b214 + b414 - b415 - b514)",
"m214 = (a21 + a31 - a37) * (b111 + b113 + b115)",
"m215 = (a11 + a31 + a35) * (b111 + b513 + b514)",
"m216 = (a28 - a33 + a38) * (b211 - b711 - b715 + b811 + b815)",
"m217 = (-a28 - a37 - a38) * (b213 + b711 + b715 + b813)",
"m218 = (-a14 - a34 + a37 + a38) * (-b411)",
"m219 = (-a15 - a23) * (b211 - b311 - b511 - b513 - b515 - b611)",
"m220 = (-a24 + a33 - a34) * (-b313 - b411 - b413 - b415)",
"m221 = (a13 - a14 - a16 - a36) * (-b412 - b613)",
"m222 = (-a23 + a26 + a36) * (b312 + b412 - b611)",
"m223 = (-a12 + a17 + a18 - a26 - a27 - a36) * (b712)",
"m224 = (a24 - a31 + a34 - a35) * (b313 + b413)",
"m225 = (-a37) * (b111 + b113 + b115 - b213 + b712 + b713 - b813)",
"m226 = (a35) * (b111 + b211 + b213 + b214 - b511 - b512 + b811 + b813 + b814)",
"m227 = (-a11 + a14 - a15 - a21 - a25) * (b115)",
"m228 = (a21 - a35) * (b111 + b115 + b513)",
"m229 = (-a12 + a17 + a18 + a37) * (-b213 + b712)",
"m230 = (a15 + a25 + a28) * (b115 - b515)",
"m231 = (a15 - a16 + a23 - a26 - a36) * (-b611)",
"m232 = (a28) * (b115 + b212 - b214 + b215 - b515 + b812 - b814 + b815)",
"m233 = (a13 - a14 + a21 + a23 - a24) * (-b414 + b415)",
"m234 = (a21 - a33 + a34) * (b113 + b114 + b214 + b414 - b415 - b513 - b514)",
"m235 = (-a12 - a16 - a36) * (b214 + b412 - b512 - b612)",
"m236 = (-a12 - a13 + a18 + a23 - a26 - a36) * (b312 + b412)",
"m237 = (a11 + a31 - a32 + a38) * (b112 + b214)",
"m238 = (-a21 + a22 + a26 - a28 - a31 + a32 + a36 - a38) * (b112)",
"m239 = (-a11 + a17 + a27) * (b214 - b714 + b814)",
"m240 = (-a14) * (b115 + b314 + b414)",
"m241 = (-a11 + a12 + a16 - a18 - a31 + a32 + a36 - a38) * (b214)",
"m242 = (-a12 + a17 + a18 - a22 - a23 + a24 + a28 - a32 - a33 + a34 + a37 + a38) * (b213)",
"m243 = (-a17 - a18 - a21 - a25) * (-b513 - b514 + b711 + b715)",
"m244 = (-a13 + a14 + a27) * (b213 - b313 - b613 + b711 + b713 + b714)",
"m245 = (a18) * (b214 + b312 + b412 - b712 + b812)",
"m246 = (-a13 + a14 + a16 + a26 + a27 + a36) * (-b613)",
"m247 = (-a14 - a33) * (-b313 - b314 - b411 - b413 - b414)",
"m248 = (a12) * (b212 - b312 - b512 - b612 + b712)",
"m249 = (a21 - a22 - a26 + a28) * (-b614)",
"m250 = (a18 - a37) * (b213 + b214 + b711 + b813 + b814)",
"m251 = (a22 + a25 - a28 + a35) * (b211 + b512)",
"m252 = (-a13 + a14) * (b213 + b214 - b313 - b314 - b613 - b614 + b711 + b713 + b714)",
"m253 = (a12 - a26 - a36) * (b212 + b215 - b312 - b512 - b612 + b712)",
"m254 = (-a27) * (b213 - b313 - b613 + b711 + b713 + b715)",
"m255 = (-a11 - a15 + a17 + a18 - a31 - a35) * (b513 + b514)",
"m256 = (a21 - a22 - a26 + a28 - a36) * (b112 + b614)",
"m257 = (-a31 - a35) * (b111 + b115 - b313 - b413)",
"m258 = (a22 + a26 - a28 + a36) * (b112 + b212 + b215 + b412 - b512)",
"m259 = (-a32) * (b212 + b812)",
"m260 = (a22 + a23 - a24 - a28 + a33 - a34) * (b213 - b412)",
"m261 = (a28 + a32) * (b212 + b215 + b812)",
"m262 = (-a14 - a31 - a35) * (-b115 + b313 + b413)",
"m263 = (-a12 - a22 - a32) * (b215)",
"m264 = (a32 - a38) * (b112 + b211 + b213 - b812)",
"m265 = (-a13 + a18 - a23) * (b314 - b315 + b414 - b415)",
"m266 = (-a33 + a34) * (-b113 - b114 - b214 - b411 - b412 - b413 - b414 + b513 + b514)",
"m267 = (-a11) * (b112 - b114 + b115 + b214 - b714 + b814)",
"m268 = (-a24) * (b214 + b415 + b814)",
"m269 = (a37 + a38) * (b213 + b214 - b411 + b813 + b814)",
"m270 = (-a33) * (b211 + b311 + b312 + b313 + b315 + b411 + b412 + b413 + b415 - b711 - b715 + b811 + b815)"
],
"elements": [
"c11 = m2 + m5 + m7 + m19 + m24 + m27 + m35 + m42 + m51 + m56 + m60 + m67 + m75 + m77 + m82 + m90",
"c12 = m11 + m14 + m16 + m41 - m42 + m43 - m51 + m55 - m56 + m57 + m58 + m61 + m65 + m66 + m68 + m69 + m76",
"c13 = m1 - m11 + m12 + m13 + m17 + m20 - m35 - m43 + m45 + m47 + m49 + m59 + m63 + m64 - m66 + m70 + m74 - m75 - m77 - m82",
"c14 = -m1 - m17 - m20 + m22 - m27 - m47 + m57 + m58 - m59 - m60 + m61 - m63 - m64 + m69 + m72 - m74 + m76 + m87",
"c15 = -m1 - m2 + m3 + m8 - m20 + m23 - m24 - m27 + m30 + m39 - m47 - m60 - m63 - m68 + m73 + m85",
"c16 = m92 + m95 + m97 + m109 + m114 + m117 + m125 + m132 + m141 + m146 + m150 + m157 + m165 + m167 + m172 + m180",
"c17 = m101 + m104 + m106 + m131 - m132 + m133 - m141 + m145 - m146 + m147 + m148 + m151 + m155 + m156 + m158 + m159 + m166",
"c18 = m91 - m101 + m102 + m103 + m107 + m110 - m125 - m133 + m135 + m137 + m139 + m149 + m153 + m154 - m156 + m160 + m164 - m165 - m167 - m172",
"c19 = -m91 - m107 - m110 + m112 - m117 - m137 + m147 + m148 - m149 - m150 + m151 - m153 - m154 + m159 + m162 - m164 + m166 + m177",
"c110 = -m91 - m92 + m93 + m98 - m110 + m113 - m114 - m117 + m120 + m129 - m137 - m150 - m153 - m158 + m163 + m175",
"c111 = m182 + m185 + m187 + m199 + m204 + m207 + m215 + m222 + m231 + m236 + m240 + m247 + m255 + m257 + m262 + m270",
"c112 = m191 + m194 + m196 + m221 - m222 + m223 - m231 + m235 - m236 + m237 + m238 + m241 + m245 + m246 + m248 + m249 + m256",
"c113 = m181 - m191 + m192 + m193 + m197 + m200 - m215 - m223 + m225 + m227 + m229 + m239 + m243 + m244 - m246 + m250 + m254 - m255 - m257 - m262",
"c114 = -m181 - m197 - m200 + m202 - m207 - m227 + m237 + m238 - m239 - m240 + m241 - m243 - m244 + m249 + m252 - m254 + m256 + m267",
"c115 = -m181 - m182 + m183 + m188 - m200 + m203 - m204 - m207 + m210 + m219 - m227 - m240 - m243 - m248 + m253 + m265",
"c21 = -m1 - m14 + m15 - m17 + m21 - m24 + m26 - m27 + m28 + m31 + m32 + m37 + m39 + m46 + m48 + m50 + m51 - m63 + m71 + m89",
"c22 = m11 + m14 - m15 + m16 + m29 + m41 - m42 - m51 + m66 - m68 + m69 + m73 + m76 + m78 + m79 + m81 + m83",
"c23 = m10 - m20 - m28 - m29 - m32 + m33 - m37 + m40 - m41 + m54 - m66 - m74 + m80 + m86 + m88 - m89",
"c24 = m9 + m17 + m20 - m21 - m22 + m27 + m30 - m33 + m53 + m63 + m64 + m69 - m72 + m74 - m88",
"c25 = m1 - m8 + m17 + m20 - m21 - m23 + m24 + m25 + m27 - m39 - m50 + m52 + m63 + m68 - m73 - m79 - m81 - m83 - m88",
"c26 = -m91 - m104 + m105 - m107 + m111 - m114 + m116 - m117 + m118 + m121 + m122 + m127 + m129 + m136 + m138 + m140 + m141 - m153 + m161 + m179",
"c27 = m101 + m104 - m105 + m106 + m119 + m131 - m132 - m141 + m156 - m158 + m159 + m163 + m166 + m168 + m169 + m171 + m173",
"c28 = m100 - m110 - m118 - m119 - m122 + m123 - m127 + m130 - m131 + m144 - m156 - m164 + m170 + m176 + m178 - m179",
"c29 = m99 + m107 + m110 - m111 - m112 + m117 + m120 - m123 + m143 + m153 + m154 + m159 - m162 + m164 - m178",
"c210 = m91 - m98 + m107 + m110 - m111 - m113 + m114 + m115 + m117 - m129 - m140 + m142 + m153 + m158 - m163 - m169 - m171 - m173 - m178",
"c211 = -m181 - m194 + m195 - m197 + m201 - m204 + m206 - m207 + m208 + m211 + m212 + m217 + m219 + m226 + m228 + m230 + m231 - m243 + m251 + m269",
"c212 = m191 + m194 - m195 + m196 + m209 + m221 - m222 - m231 + m246 - m248 + m249 + m253 + m256 + m258 + m259 + m261 + m263",
"c213 = m190 - m200 - m208 - m209 - m212 + m213 - m217 + m220 - m221 + m234 - m246 - m254 + m260 + m266 + m268 - m269",
"c214 = m189 + m197 + m200 - m201 - m202 + m207 + m210 - m213 + m233 + m243 + m244 + m249 - m252 + m254 - m268",
"c215 = m181 - m188 + m197 + m200 - m201 - m203 + m204 + m205 + m207 - m219 - m230 + m232 + m243 + m248 - m253 - m259 - m261 - m263 - m268",
"c31 = -m2 + m4 - m5 + m6 + m14 - m15 - m19 + m38 - m42 - m46 - m51 - m56 - m60 - m67 - m70 - m71 - m77 - m82 - m89 - m90",
"c32 = -m6 - m11 - m14 + m15 - m16 + m19 - m29 - m41 + m42 - m43 + m49 + m51 + m56 - m58 + m62 - m66 - m69 + m71 - m76 - m79 + m80 + m84",
"c33 = m11 + m28 + m29 - m33 + m34 - m40 + m41 + m43 + m44 - m45 - m48 - m49 - m54 - m62 + m66 + m77 - m80 - m86 - m88 + m89",
"c34 = -m13 + m18 - m28 + m33 - m34 + m35 - m38 + m40 - m44 + m48 + m54 - m57 - m58 + m60 + m67 - m69 - m76 + m82 - m87 + m88",
"c35 = m2 - m4 + m5 - m25 - m28 - m31 + m36 - m37 - m38 + m40 - m44 - m52 + m60 + m67 + m70 + m79 + m81 + m82 + m88",
"c36 = -m92 + m94 - m95 + m96 + m104 - m105 - m109 + m128 - m132 - m136 - m141 - m146 - m150 - m157 - m160 - m161 - m167 - m172 - m179 - m180",
"c37 = -m96 - m101 - m104 + m105 - m106 + m109 - m119 - m131 + m132 - m133 + m139 + m141 + m146 - m148 + m152 - m156 - m159 + m161 - m166 - m169 + m170 + m174",
"c38 = m101 + m118 + m119 - m123 + m124 - m130 + m131 + m133 + m134 - m135 - m138 - m139 - m144 - m152 + m156 + m167 - m170 - m176 - m178 + m179",
"c39 = -m103 + m108 - m118 + m123 - m124 + m125 - m128 + m130 - m134 + m138 + m144 - m147 - m148 + m150 + m157 - m159 - m166 + m172 - m177 + m178",
"c310 = m92 - m94 + m95 - m115 - m118 - m121 + m126 - m127 - m128 + m130 - m134 - m142 + m150 + m157 + m160 + m169 + m171 + m172 + m178",
"c311 = -m182 + m184 - m185 + m186 + m194 - m195 - m199 + m218 - m222 - m226 - m231 - m236 - m240 - m247 - m250 - m251 - m257 - m262 - m269 - m270",
"c312 = -m186 - m191 - m194 + m195 - m196 + m199 - m209 - m221 + m222 - m223 + m229 + m231 + m236 - m238 + m242 - m246 - m249 + m251 - m256 - m259 + m260 + m264",
"c313 = m191 + m208 + m209 - m213 + m214 - m220 + m221 + m223 + m224 - m225 - m228 - m229 - m234 - m242 + m246 + m257 - m260 - m266 - m268 + m269",
"c314 = -m193 + m198 - m208 + m213 - m214 + m215 - m218 + m220 - m224 + m228 + m234 - m237 - m238 + m240 + m247 - m249 - m256 + m262 - m267 + m268",
"c315 = m182 - m184 + m185 - m205 - m208 - m211 + m216 - m217 - m218 + m220 - m224 - m232 + m240 + m247 + m250 + m259 + m261 + m262 + m268"
],
"u": [
[0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 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, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1],
[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, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, -1],
[0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 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, 1, 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, 0],
[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, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0],
[0, 1, 1, 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, 0, 1, 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, 1, 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, -1, 0, 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, 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, 1, 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, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1],
[0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, -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, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1],
[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, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1],
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