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5x5x13_m228_ZT.json
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996 lines (996 loc) · 145 KB
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{
"n": [5, 5, 13],
"m": 228,
"z2": false,
"complexity": 3836,
"multiplications": [
"m1 = (-a51 + a53) * (b37 - b38 + b313)",
"m2 = (-a24 + a44) * (b29 - b42 + b44 + b49)",
"m3 = (a31) * (b13 + b15 + b35)",
"m4 = (a13 - a33 + a51) * (b113 + b37 - b38 + b312 + b313 + b513)",
"m5 = (a22 - a24 - a42 + a44) * (b412 + b512)",
"m6 = (a11 - a15) * (-b13 + b16 + b55)",
"m7 = (a13 - a15 + a21 - a23 - a33 + a35 - a41 + a43 + a51 - a55) * (b111 - b410 - b510 + b511)",
"m8 = (a12 - a14 + a15 - a25 + a45) * (-b29 - b49 + b410 - b59 + b510)",
"m9 = (a44 - a45 - a54 + a55) * (b11 - b13 + b16 - b17 + b31 - b33 + b36 - b37 + b51 - b53 + b56 - b58 + b512)",
"m10 = (a32 - a34 + a35) * (b19 - b110 + b22 - b23 - b24 - b25 + b39 - b310 - b49 + b410)",
"m11 = (-a11 - a14 + a15 - a51 - a54 + a55) * (b28 + b211 + b48 + b411)",
"m12 = (-a11 + a13 - a51 + a53) * (b37)",
"m13 = (-a11 + a31 - a51) * (b16 - b18 + b112 + b36 - b37 + b56 - b58 + b512)",
"m14 = (a11 + a14 - a15 - a31 - a34 + a35 + a44 + a51 - a55) * (-b46 + b48 + b411 - b56 + b58)",
"m15 = (-a15) * (b411 + b413 + b511 + b513)",
"m16 = (-a22 + a24) * (-b211 + b43 + b44 - b45 - b46 + b48 + b412 + b53 + b54 - b55 - b56 + b58 + b512)",
"m17 = (a45) * (b13 + b14 - b15 - b16 + b17 + b33 + b34 - b35 - b36 + b37 + b53 + b54 - b55 - b56 + b57)",
"m18 = (a11 - a12 + a14 - a15 - a31 + a32 - a34 + a35 + a51 - a52 + a54 - a55) * (b19 - b110 + b26 - b28 - b29 + b210 - b211 + b212 - b49 + b410 + b412 + b512)",
"m19 = (-a13 + a33 + a34 - a35 - a43) * (-b12 + b14 + b22 - b32 + b34 + b42)",
"m20 = (a22 - a24 + a25 - a45) * (b13 + b14 - b15 - b16 + b17 + b33 + b34 - b35 - b36 + b37 - b47 + b48 + b53 + b54 - b55 - b56 + b58)",
"m21 = (a33 - a35) * (-b111 - b311 + b48 + b411 + b58)",
"m22 = (-a14) * (-b22 + b23 + b24 + b25 - b26 - b42 + b43 + b44 + b45 - b46 - b52 + b54)",
"m23 = (-a11 - a14 + a15 - a43 - a44 + a45 - a51 + a53) * (b13 - b16 + b17 + b37)",
"m24 = (a22 - a24 - a42 + a44 + a52 - a54) * (-b41 + b43 - b46 + b48 - b51 + b53 - b56 + b58)",
"m25 = (-a42 + a44) * (b22)",
"m26 = (-a21 - a24 + a25 + a41 - a45 - a51 + a55) * (-b410 - b510 + b511)",
"m27 = (-a13 + a23 - a32 + a33 + a34 - a35 - a43) * (b19 - b110 - b29 + b39 - b310 - b49 + b410)",
"m28 = (a12 + a21 - a22 + a24 - a25 - a32 + a42) * (b13 + b25 + b45)",
"m29 = (a13 + a32 - a33 - a34 + a35 + a53) * (b19 - b110 - b21 - b22 + b24 + b25 + b39 - b310 - b49 + b410)",
"m30 = (a22 - a23 - a24 + a25) * (b23 - b24 + b25 - b26 + b28 - b210 - b33 - b34 + b35 + b36 - b38 + b43 - b44 + b45 - b46 + b48)",
"m31 = (-a41 - a44 + a45 + a51 + a54 - a55) * (b11)",
"m32 = (-a22 + a44) * (b22 + b44)",
"m33 = (a42 - a52) * (-b29 + b210 + b212 - b49 + b410 + b412)",
"m34 = (a23 + a24 - a25) * (-b13 + b16 - b17 + b23 - b26 + b27 - b37 + b38 + b310 - b311 - b312 + b43 - b46 + b47)",
"m35 = (a22 - a24 + a25 - a42 + a52) * (b11 - b13 + b16 - b17 + b27 - b28 + b212 + b31 - b33 + b36 - b37 + b47 - b48 + b412 + b51 - b53 + b56 - b58 + b512)",
"m36 = (-a12 + a14 + a32 - a34) * (b412 + b512)",
"m37 = (-a11) * (b12 - b14 + b15 - b19 + b110 + b111 + b112 + b113 + b29 - b210 - b212 + b49 - b410 - b412 + b55)",
"m38 = (a22 - a42) * (-b23 - b25 + b26 - b28 + b213 - b43 - b45 + b46 - b48 + b413)",
"m39 = (a12 - a14 + a21 - a22 + a24 - a25 - a41 + a42 - a44 + a45) * (b13 - b16 + b45)",
"m40 = (-a13 + a15 + a33 - a35 + a41 - a43 - a51 + a55) * (b111 - b42 - b49 + b410 - b52 - b59 + b510 + b511)",
"m41 = (-a14 + a15) * (b211 + b213 + b411 + b413 - b52 + b54)",
"m42 = (-a21 + a25 + a41 - a45) * (-b12 + b14 - b15 + b19 + b45)",
"m43 = (-a32 + a33 + a34 - a35) * (-b39 + b310 + b312)",
"m44 = (-a15 - a45) * (-b42 - b49 + b410 - b52 - b59 + b510)",
"m45 = (-a15 - a55) * (b41 + b42 - b44 - b45 - b49 + b410 + b51 + b52 - b54 - b55 - b59 + b510)",
"m46 = (a22 - a23 - a24 + a25 - a42 + a52) * (-b13 + b16 - b17 + b23 - b26 + b27 + b31 - b33 + b36 - b37 + b43 - b46 + b47)",
"m47 = (a51 + a54 - a55) * (-b29 + b210 + b212 - b49 + b410 + b412)",
"m48 = (-a11 + a13 + a31 - a33 - a51 + a53) * (-b36 + b37)",
"m49 = (a22 - a24 - a42 + a52) * (-b211 + b41 - b43 + b46 - b48 + b412 + b51 - b53 + b56 - b58 + b512)",
"m50 = (-a13 + a33 - a43) * (-b12 - b19 + b110 + b111 - b32 - b39 + b310 + b311 - b52 - b59 + b510 + b511)",
"m51 = (a13) * (b13 - b16 + b17 + b33 - b36 + b37 + b53 - b56 + b57)",
"m52 = (a42 - a52) * (b21 - b23 + b26 - b28 + b211 + b212)",
"m53 = (a12 + a42) * (-b28 - b211 + b212 + b412 + b512)",
"m54 = (a13 + a14 - a15 + a21 - a23 - a33 - a34 + a35 - a41 + a43 + a51 + a54 - a55) * (-b12 + b14 + b29 + b49)",
"m55 = (-a43 - a44 + a45 + a53 + a54 - a55) * (b13 - b16 + b17 - b31 + b33 - b36 + b37)",
"m56 = (a22 - a24) * (-b211 + b412 + b512)",
"m57 = (a22 - a23 - a24 + a25 - a42) * (-b13 + b16 - b17 + b23 - b26 + b27 - b37 + b38 - b313 + b43 - b46 + b47)",
"m58 = (a13 - a23 + a43) * (-b32 + b34 - b35 + b39)",
"m59 = (-a11 - a14 + a15 + a33 + a34 - a35 - a51 - a54 + a55) * (b12 - b14 - b28 - b29 + b210 - b211 + b212 - b48 - b49 + b410 - b411 + b412)",
"m60 = (-a12 + a22 + a32 - a42) * (b23 + b25 + b43 + b45)",
"m61 = (a12 - a14 - a22 + a23 + a24 - a25 + a42 - a43 - a44 + a45) * (-b13 + b16 - b17 - b37 + b43 - b46 + b47)",
"m62 = (-a22 + a24 - a25) * (b14 - b15 - b25 + b33 + b34 - b35 - b36 + b38 - b45 + b53 + b54 - b55 - b56 + b58)",
"m63 = (-a12 + a14 + a32 - a34) * (-b22 + b23 + b24 + b25)",
"m64 = (a11 - a13 - a31 + a33 + a51 - a53) * (-b11 + b15 - b36 + b37)",
"m65 = (a35) * (b111 + b311 + b511)",
"m66 = (a22) * (b24 + b44)",
"m67 = (a13 - a23 - a33 + a43) * (-b110 + b111 - b310 + b311 - b510 + b511)",
"m68 = (a22 - a24 - a42 + a44) * (-b412 + b413 - b512 + b513)",
"m69 = (-a11) * (b19 - b110 - b112 - b29 + b210 + b212 - b49 + b410 + b412)",
"m70 = (a12 - a14 - a22 + a24 - a32 + a34 + a42 - a44 - a52 + a54) * (b412 + b512)",
"m71 = (a11 + a14 - a15 - a31 - a34 + a35 + a44 - a45 + a51) * (b16 - b17 + b36 - b37 + b56 - b58 + b512)",
"m72 = (a11 - a12 + a14 - a15 + a32 - a33 - a34 + a35 + a51 - a52 + a54 - a55) * (b19 - b110 - b28 - b29 + b210 - b211 + b212 - b49 + b410 + b412 + b512)",
"m73 = (-a13 - a31 + a33) * (-b12 + b14 - b111 - b113 + b35)",
"m74 = (-a12 + a13 + a14 - a15 + a32 - a33 - a34 + a35 - a52 + a53 + a54 - a55) * (b312)",
"m75 = (a12 - a14) * (-b49 + b410 - b59 + b510)",
"m76 = (a11 + a14 - a15 - a31 - a34 + a35 + a43 + a44 - a45 + a51 - a53) * (b13 - b16 + b17 - b36 + b37)",
"m77 = (a52 - a54) * (b21 + b22 - b24 - b25 + b412 + b512)",
"m78 = (a11 - a15 - a33 + a35 + a51 - a55) * (-b111 + b48 + b411 + b58)",
"m79 = (a41 - a42 + a44 - a45 - a51 + a52 - a54 + a55) * (-b12 - b17 + b18 - b19 + b110 + b111 - b32 - b37 + b38 - b39 + b310 + b311 - b52 - b59 + b510 + b511)",
"m80 = (a13 - a33 + a35 + a43) * (b111 + b311 - b42 - b49 + b410 - b52 - b59 + b510 + b511)",
"m81 = (a22 - a24 + a25 - a42 + a44 - a45 + a52 - a54) * (-b11 + b13 - b16 + b17 - b31 + b33 - b36 + b37 - b47 + b48 - b51 + b53 - b56 + b58)",
"m82 = (a13) * (b32 - b34 + b35 + b39 - b310 + b311 - b312 + b313)",
"m83 = (a43 + a44 - a45 + a51 - a53) * (b13 - b16 + b17 + b37 - b38 + b313)",
"m84 = (a13 + a31 - a33 + a53) * (-b11 + b15 + b35)",
"m85 = (-a33 - a34 + a35) * (b12 - b14 - b28 - b29 + b210 - b211 + b212 + b32 - b34 - b48 - b49 + b410 - b411 + b412)",
"m86 = (a22 - a42 + a52 - a54) * (-b21 - b22 + b24 + b25 - b41 + b45)",
"m87 = (a13 - a33 - a41 + a43 + a51) * (-b12 - b19 + b110 + b111 - b32 - b37 + b38 - b39 + b310 + b311 - b312 - b52 - b59 + b510 + b511)",
"m88 = (-a11 - a14 + a15 + a31 + a34 - a35 - a51 - a54 + a55) * (-b26 + b28 + b211 - b46 + b48 + b411)",
"m89 = (a21 - a22 + a24 - a25 - a41 + a42 - a44 + a45 - a52 + a54) * (-b11 + b45)",
"m90 = (a11 + a14 - a15 + a51 + a54 - a55) * (-b29 + b210 + b212 - b49 + b410 + b412)",
"m91 = (-a41 + a45 + a51 - a55) * (-b42 - b49 + b410 - b52 - b59 + b510 + b511)",
"m92 = (-a13 + a23 + a33 + a34 - a35 - a43) * (-b12 + b14 + b29 - b32 + b34 + b49)",
"m93 = (-a12 + a14 + a22 - a23 - a24 + a25 + a32 - a34 - a42 + a43 + a44 - a45) * (-b13 + b16 - b17 + b36 - b37 + b43 - b46 + b47)",
"m94 = (-a21 - a24 + a25 + a41 - a43 - a51 + a53) * (b13 - b16 + b17 + b37 - b38 - b310 + b311 + b312)",
"m95 = (-a11 - a14 + a15 - a44 + a45 - a51) * (-b17 - b37 - b58 + b512)",
"m96 = (a12 - a13 - a14 + a15 - a32 + a33 + a34 - a35 + a41 - a43 - a51 + a52 - a54 + a55) * (b19 - b110 + b22 - b49 + b410)",
"m97 = (-a24 + a25) * (b17 - b18 - b110 + b111 + b112 - b27 + b28 - b212 + b37 - b38 - b310 + b311 + b312 - b47 + b48 - b412 - b510 + b511)",
"m98 = (a21 + a24 - a25 - a41 + a51) * (b17 - b18 - b110 + b111 + b112 + b37 - b38 - b310 + b311 + b312 - b510 + b511)",
"m99 = (-a11 - a14 + a15 + a31 + a34 - a35 - a51 - a54 + a55) * (b12 - b14 + b26 - b28 - b29 + b210 - b211 + b212 + b46 - b48 - b49 + b410 - b411 + b412)",
"m100 = (-a11 - a14 + a15 - a42 - a51 + a52 - a54 + a55) * (-b28 - b29 + b210 - b211 + b212 - b49 + b410 + b412 + b512)",
"m101 = (-a21 - a24 + a25 + a41 - a42 + a44 - a45 - a51 + a52 - a54 + a55) * (-b29 - b49 + b410)",
"m102 = (-a13 + a15 + a33 - a35 - a53 + a55) * (b111 + b41 + b42 - b44 - b45 - b49 + b410 + b51 + b52 - b54 - b55 - b59 + b510 + b511)",
"m103 = (-a41 + a42 + a43 - a44 + a45 + a51 - a52 - a53 + a54 - a55) * (-b12 - b17 + b18 - b19 + b110 + b111 - b32 - b37 + b38 - b39 + b310 + b311 - b52 - b59 + b510 + b511 + b512)",
"m104 = (a12 - a14 - a22 + a24 - a25 + a42 - a44 + a45) * (b17 + b37 - b47 + b48 + b58)",
"m105 = (-a12 + a22 - a24 + a32 - a42) * (-b211 - b46 + b48 - b56 + b58)",
"m106 = (a13 - a33 + a35) * (-b111 - b311 + b411 + b413 + b513)",
"m107 = (a12 - a14) * (-b22 + b23 + b24 + b25 - b26 + b49 - b410 + b412 + b59 - b510 + b512)",
"m108 = (-a12 + a14 + a22 - a24 - a42 + a44) * (b48 + b58)",
"m109 = (-a22 + a24 + a42 - a44) * (-b29 + b413 + b513)",
"m110 = (-a11 + a31 - a51) * (b112 + b312 + b512)",
"m111 = (-a11 - a14 + a15 - a41 - a44 + a45) * (-b13 + b16)",
"m112 = (a14 - a15 - a45) * (-b22 - b42 - b52 + b54)",
"m113 = (a41 + a44 - a45) * (-b13 + b16 - b18 + b113)",
"m114 = (a12 - a22 + a23 + a24 - a25 - a32 + a42) * (-b13 + b16 - b17 + b23 - b26 + b27 + b36 - b37 + b43 - b46 + b47)",
"m115 = (-a22 + a42) * (-b22 - b23 + b24 - b25 + b26 - b28 + b213 - b43 - b45 + b46 - b48 + b413)",
"m116 = (a34 - a35) * (b12 - b14 - b22 + b23 + b24 + b25 + b32 - b34 - b42 + b43 + b44 + b45)",
"m117 = (-a22 + a42 - a52) * (-b21 + b25 - b41 + b45)",
"m118 = (a24) * (b211 - b410 + b411 - b510 + b511)",
"m119 = (-a21 + a22 - a24 + a25) * (b14 - b15 + b25 + b45)",
"m120 = (-a42) * (-b211 + b212 - b213 + b412 + b512)",
"m121 = (a21 + a23 + a24 - a25) * (b13 - b16 + b17 - b24 + b25 - b27 + b28 - b210 + b37 - b38 - b310 + b311 + b312 - b44 + b45 - b47 + b48)",
"m122 = (a11 + a55) * (b11 + b55)",
"m123 = (-a13 - a43) * (-b34 + b35)",
"m124 = (-a44 - a51 + a55) * (b411 + b413 + b513)",
"m125 = (-a21) * (b17 - b18 - b24 - b27 + b28 - b210 + b37 - b38 - b310 + b311 + b312 - b44 - b47 + b48)",
"m126 = (a11 - a25 + a45) * (b12 - b14 + b15 - b19 + b55)",
"m127 = (a55) * (-b11 + b13 - b16 + b17 - b31 + b33 - b36 + b37 - b51 + b53 - b56 + b57)",
"m128 = (-a11 - a14 + a15 + a31 + a34 - a35 - a41 - a44 + a45) * (b13)",
"m129 = (a13 - a23 + a31 - a33 + a43) * (-b12 + b14 + b19 + b35)",
"m130 = (a12 - a14 - a22 - a32 + a34 + a42) * (-b22 + b23 + b24 + b25 + b43 + b45)",
"m131 = (-a12 + a32 - a42) * (b26 - b28 - b211 + b212 + b412 + b512)",
"m132 = (a13 + a14 - a15 - a33 - a34 + a35 - a41 + a43 + a51 + a54 - a55) * (-b12 + b14 + b22 + b42)",
"m133 = (-a12 + a14 - a35) * (b22 - b23 - b24 - b25 - b49 + b410 - b59 + b510)",
"m134 = (a41 - a43 - a51 + a53) * (-b12 + b13 - b16 + b18 - b19 + b110 + b111 - b52 - b59 + b510 + b511 + b512)",
"m135 = (a21 - a23 - a41 + a43 + a51 - a53) * (b37 - b38 - b310 + b311 + b312)",
"m136 = (a14 - a35) * (-b22 + b23 + b24 + b25 - b42 + b43 + b44 + b45 - b52 + b54)",
"m137 = (a13 + a53) * (b31)",
"m138 = (a23 - a25 - a43 + a45) * (-b13 + b16 - b17 + b32 - b33 - b34 + b35 + b36 - b37 - b39 + b43 - b46 + b47)",
"m139 = (-a13 + a25 - a45) * (b13 - b16 + b17 - b32 + b33 + b34 - b35 - b36 + b37 + b39 + b53 - b56 + b57)",
"m140 = (-a13 + a23 + a33 - a35 - a43) * (b111 + b311 - b410 - b510 + b511)",
"m141 = (-a11 - a14 + a15 - a44 - a51 + a55) * (b48 + b411 + b58)",
"m142 = (a22 - a23 - a24 + a25 - a42 + a43 + a44 - a45) * (-b13 + b16 - b17 - b37 + b38 - b313 + b43 - b46 + b47)",
"m143 = (-a21 - a24 + a25) * (-b13 + b16 - b18 - b110 + b111 + b112)",
"m144 = (a13 + a32 - a33 - a34 + a35) * (b211 + b213 - b39 + b310 + b312)",
"m145 = (-a21 - a24 + a25 + a41 + a44 - a45 - a51 - a54 + a55) * (b29 + b49)",
"m146 = (-a42 + a52) * (b212 + b412)",
"m147 = (a22) * (b210)",
"m148 = (-a21 + a22 - a24 + a25 - a42) * (b13 - b16 + b18 - b113 + b25 + b45)",
"m149 = (a13 - a15) * (b13 - b16 + b17 + b37 + b53 - b56 + b57)",
"m150 = (a51 + a54 - a55) * (b29 - b210 + b211 - b212 + b213 + b49 - b410 + b411 - b412 + b413)",
"m151 = (a12 - a14 - a22 + a24 - a32 + a34) * (b412 + b512)",
"m152 = (-a22 + a24 + a42) * (-b211 + b413 + b513)",
"m153 = (-a41 + a42 - a44 + a45 + a51 - a52 + a54 - a55) * (-b12 - b17 + b18 - b19 + b110 + b111 + b22 - b32 - b37 + b38 - b39 + b310 + b311 - b49 + b410 - b52 - b59 + b510 + b511)",
"m154 = (-a12 + a22 - a24 + a25 + a32 - a42) * (b16 - b17 + b27 - b28 + b212 + b36 - b37 + b47 - b48 + b412 + b56 - b58 + b512)",
"m155 = (-a13 - a45) * (b13 - b16 + b17 + b33 + b34 - b35 - b36 + b37 + b53 - b56 + b57)",
"m156 = (a22 - a23 - a24 + a25 + a43 - a45) * (-b13 + b16 - b17 - b33 - b34 + b35 + b36 - b37 + b43 - b46 + b47)",
"m157 = (a13 + a32 - a33 - a34 + a35 + a43) * (b19 - b110 + b22 + b39 - b310 - b49 + b410)",
"m158 = (-a11 + a15 + a31 - a35 - a51 + a55) * (-b111 - b46 + b48 + b411 - b56 + b58)",
"m159 = (a12 - a14 + a15 - a51 + a52 - a54 + a55) * (b19 - b110 - b29 + b210 + b212 + b312 - b49 + b410 + b412 + b512)",
"m160 = (-a12 + a14 + a22 - a24 + a25 + a32 - a34 - a42 + a44 - a45) * (-b16 + b17 - b36 + b37 - b47 + b48 - b56 + b58)",
"m161 = (a11 - a13 - a31 + a33) * (b12 - b14 + b111 + b113)",
"m162 = (a12 - a22 + a24 - a25 + a42) * (-b17 + b27 - b28 + b212 - b37 + b47 - b48 + b412 - b58 + b512)",
"m163 = (-a21 - a24 + a25) * (b25 + b45)",
"m164 = (a21 - a22 + a24 - a25 - a41 + a45) * (b14 - b15 + b45)",
"m165 = (-a12 + a13 + a14 - a15 + a21 - a23 + a32 - a33 - a34 + a35 - a41 + a43 + a51 - a52 + a54 - a55) * (b19 - b110 - b29 - b49 + b410)",
"m166 = (-a11 + a33 - a51) * (-b18 + b112 - b37 - b58 + b512)",
"m167 = (-a12 + a22 - a23 - a24 + a25 - a42) * (-b13 + b16 - b17 + b23 - b26 + b27 - b37 + b43 - b46 + b47)",
"m168 = (a13 + a55) * (b13 - b16 + b17 - b31 + b33 - b36 + b37 + b53 - b56 + b57)",
"m169 = (-a25 + a45) * (-b12 + b13 + b14 - b15 - b16 + b17 + b19 - b32 + b33 + b34 - b35 - b36 + b37 + b39 - b52 + b53 + b54 - b55 - b56 + b57 + b59)",
"m170 = (a41 + a44 - a45 - a51 - a54 + a55) * (b22 + b42)",
"m171 = (-a31 + a33) * (b12 - b14 - b18 - b19 + b110 - b111 + b112)",
"m172 = (-a21 + a22 - a24 + a25 + a41 - a42 + a44 - a45) * (b13 - b16 + b18 - b113 + b45)",
"m173 = (-a13 + a15 - a35) * (b13 - b16 + b17 - b36 + b37 + b53 - b56 + b57)",
"m174 = (-a42 - a51 + a52 - a54 + a55) * (-b29 + b210 - b211 + b212 - b213 - b49 + b410 + b412 + b512)",
"m175 = (-a12 + a13 + a14 - a15 + a32 - a33 - a34 + a35) * (b211 + b213)",
"m176 = (-a15 + a35) * (-b16 + b17 - b36 + b37 - b56 + b57)",
"m177 = (-a13 + a33 - a53) * (b11 + b12 - b14 - b15 - b19 + b110 + b111 + b31 + b32 - b34 - b35 - b39 + b310 + b311 + b51 + b52 - b54 - b55 - b59 + b510 + b511)",
"m178 = (a44 - a54) * (b41 - b43 + b46 - b48 + b411 + b412 + b51 - b53 + b56 - b58 + b512)",
"m179 = (-a12 + a14 + a22 - a24 - a42 + a44) * (b48 + b412 + b58 + b512)",
"m180 = (-a13 + a33) * (b113 + b313 + b513)",
"m181 = (a22 - a24 + a25 - a42) * (b17 - b18 + b113 - b27 + b28 - b212 + b37 - b38 + b313 - b47 + b48 - b412 - b512 + b513)",
"m182 = (a12 - a14 - a22 + a24 - a32 + a34 + a42 - a44) * (-b46 + b48 + b412 - b56 + b58 + b512)",
"m183 = (a11 + a14 - a15 - a31 - a34 + a35 + a51 + a54 - a55) * (b12 - b14 - b26 + b28 + b211 - b46 + b48 + b411)",
"m184 = (a11 + a45) * (-b14 + b15 + b55)",
"m185 = (-a12 + a22 - a42) * (-b23 - b25 + b26 - b43 - b45 + b46)",
"m186 = (-a25 + a45) * (-b47 + b48 - b57 + b58)",
"m187 = (-a15 + a25 - a45) * (b410 + b510)",
"m188 = (a12 - a13 - a14 + a15 - a32 + a33 + a34 - a35 - a51 + a52 - a54 + a55) * (b211 + b213 + b312)",
"m189 = (-a41 + a51) * (-b12 - b17 + b18 - b19 + b110 + b111 - b112 - b32 - b37 + b38 - b39 + b310 + b311 - b312 - b52 - b59 + b510 + b511)",
"m190 = (-a13 + a15 + a33 - a35 - a51 + a55) * (-b111 + b411 + b413 + b513)",
"m191 = (-a12 - a21 + a22 - a24 + a25 - a42) * (b13 - b16 + b25 + b45)",
"m192 = (-a33) * (-b18 + b112 - b38 + b312 - b58 + b512)",
"m193 = (a13 + a14 - a15 - a33 - a34 + a35 + a53 + a54 - a55) * (b12 - b14 - b21 - b22 + b24 + b25 - b41 - b42 + b44 + b45)",
"m194 = (a35) * (-b42 + b43 + b44 + b45 - b49 + b410 - b52 + b53 + b54 + b55 - b59 + b510)",
"m195 = (a15) * (b17 + b37 + b57)",
"m196 = (a13 + a14 - a15 - a33 - a34 + a35 + a51 + a54 - a55) * (b12 - b14 + b211 + b213 + b411 + b413)",
"m197 = (-a32 + a33 + a34 - a35) * (b19 - b110 - b28 - b29 + b210 - b211 + b212 + b312 - b49 + b410 + b412 + b512)",
"m198 = (a13 - a33 + a35 + a53) * (b111 + b311 + b41 + b42 - b44 - b45 - b49 + b410 + b51 + b52 - b54 - b55 - b59 + b510 + b511)",
"m199 = (-a11 + a15 - a35) * (-b13 + b55)",
"m200 = (-a12 + a14 - a15) * (-b29 + b210 - b211 + b212 - b213 - b49 + b410 + b412 - b59 + b510 + b512)",
"m201 = (-a22 + a23 + a24 - a25) * (-b13 + b16 - b17 + b23 - b26 + b27 - b33 - b34 + b35 + b36 - b37 + b43 - b46 + b47)",
"m202 = (a11 - a12 + a14 - a15 - a31 + a32 - a34 + a35 + a51 - a52 + a54 - a55) * (-b26 + b28 + b211 + b312)",
"m203 = (a11 - a13 - a31 + a33 + a41 - a43) * (b14)",
"m204 = (a13 + a31 - a33 + a43) * (b14 + b35)",
"m205 = (-a12 + a14 - a15 - a55) * (-b21 - b22 + b24 + b25 - b49 + b410 - b59 + b510)",
"m206 = (a12 - a13 - a14 + a15 - a32 + a33 + a34 - a35 + a52 - a53 - a54 + a55) * (b19 - b110 - b21 - b22 + b24 + b25 - b49 + b410)",
"m207 = (a12 - a22 + a24 + a42) * (-b211 + b48 + b58)",
"m208 = (a11 + a14 - a15 - a31 - a34 + a35 + a42 + a51 - a52 + a54 - a55) * (b26 - b28 - b211 + b512)",
"m209 = (-a12 + a14 - a21 + a22 - a24 + a25 + a32 - a34 + a41 - a42 + a44 - a45) * (b13 + b45)",
"m210 = (-a41 + a43 + a51 - a53) * (b32 + b37 - b38 + b39 - b310 - b311 + b312)",
"m211 = (a41 - a43 - a51 + a53) * (-b12 - b17 + b18 - b19 + b110 + b111 - b32 - b37 + b38 - b39 + b310 + b311 - b312 - b52 - b59 + b510 + b511 + b512)",
"m212 = (a33) * (b33)",
"m213 = (a22 - a24 + a25) * (-b13 + b16 - b17 - b25 + b27 - b28 + b212 - b37 + b38 - b45 + b47 - b48 + b412 + b512)",
"m214 = (-a21 + a22 - a24 + a25 - a42 + a52) * (-b11 + b25 + b45)",
"m215 = (a22 - a24 + a25 - a42 + a44 - a45) * (b17 - b18 + b113 + b37 - b38 + b313 - b47 + b48 + b513)",
"m216 = (-a22 + a23 + a24 - a25 + a42 - a43 - a44 + a45 - a52 + a54) * (-b13 + b16 - b17 + b31 - b33 + b36 - b37 + b43 - b46 + b47)",
"m217 = (-a14 + a15 + a55) * (-b21 - b22 + b24 + b25 - b41 - b42 + b44 + b45 - b52 + b54)",
"m218 = (-a13 + a33 + a34 - a35 - a53) * (b12 - b14 - b21 - b22 + b24 + b25 + b32 - b34 - b41 - b42 + b44 + b45)",
"m219 = (-a13 + a33 - a53) * (b37 - b38 + b312)",
"m220 = (a14 - a15 + a25 - a45) * (-b29 - b49 - b52 + b54)",
"m221 = (-a13 + a33 + a34 - a35) * (b12 - b14 + b211 + b213 + b32 - b34 + b411 + b413)",
"m222 = (a11 - a13 - a21 + a23 - a31 + a33 + a41 - a43) * (-b12 + b14 + b19)",
"m223 = (a31 - a33) * (b12 - b14 - b18 - b19 + b110 - b111 + b112 + b35)",
"m224 = (-a44 + a45 - a51) * (b17 - b18 + b113 + b37 - b38 + b313 - b512 + b513)",
"m225 = (a12 - a14 - a22 + a42) * (b22 - b23 - b24 - b25 + b26 - b43 - b45 + b46)",
"m226 = (a51) * (b112 + b312 + b512)",
"m227 = (-a13 - a21 + a23 + a33 + a41 - a43 - a51) * (-b110 + b111 + b37 - b38 - b310 + b311 + b312 - b510 + b511)",
"m228 = (-a12 + a14 - a15 - a45) * (b22 - b49 + b410 - b59 + b510)"
],
"elements": [
"c11 = -m6 - m22 - m38 - m39 - m45 + m51 + m75 - m111 - m113 - m115 + m122 + m127 + m148 - m168 - m172 - m185 - m191 + m205 + m217 - m225",
"c12 = -m11 - m17 - m37 - m41 + m44 + m47 - m51 - m59 - m69 - m73 - m75 - m85 - m90 - m112 + m150 - m155 - m161 - m171 - m184 - m196 - m221 - m223 - m228",
"c13 = m6 + m22 + m38 + m39 + m51 + m75 + m111 + m113 + m115 + m133 + m136 - m148 + m172 + m173 + m176 + m185 + m191 + m194 + m199 + m225",
"c14 = -m17 - m22 - m37 - m38 + m44 - m51 - m69 - m73 - m75 - m112 - m115 - m155 - m161 - m171 - m184 - m185 - m223 - m225 - m228",
"c15 = -m6 - m37 - m39 - m69 - m73 - m111 - m113 + m148 - m161 - m171 - m172 - m191 - m223",
"c16 = m5 + m6 + m22 - m107 + m108 + m133 + m136 + m149 + m173 + m176 - m179 + m194 + m195 + m199",
"c17 = -m1 + m5 + m12 - m23 - m38 - m39 + m57 - m61 - m75 - m83 - m107 + m108 - m111 - m113 - m115 - m142 + m148 - m167 - m172 - m179 - m185 - m191 + m195 - m225",
"c18 = -m1 - m4 + m5 + m12 - m23 - m38 - m39 - m47 + m53 + m57 - m61 + m69 + m72 - m75 - m83 + m90 - m95 + m100 - m104 - m107 + m108 - m111 - m113 - m115 + m120 - m142 + m148 + m159 - m162 + m166 - m167 - m172 - m174 - m175 - m179 - m180 + m181 - m185 - m188 - m191 + m192 + m197 - m215 - m224 - m225 + m226",
"c19 = -m8 - m11 - m37 - m41 + m47 - m51 - m59 - m69 - m73 + m75 - m85 - m90 - m126 - m139 + m150 - m161 - m169 - m171 - m187 - m196 - m220 - m221 - m223",
"c110 = -m8 - m11 - m37 - m41 + m43 + m47 - m51 - m53 - m59 - m69 - m72 - m73 - m85 - m90 - m100 - m120 - m126 - m139 + m144 + m150 - m159 - m161 - m169 - m171 + m174 - m187 + m188 - m196 - m197 - m200 - m220 - m221 - m223",
"c111 = m5 - m15 - m21 + m68 - m78 - m106 - m108 + m124 - m141 + m152 - m190 - m207",
"c112 = -m5 - m47 + m53 + m69 + m72 + m90 + m100 - m108 + m120 + m159 - m174 - m175 + m179 - m188 + m197",
"c113 = -m5 + m11 + m21 + m43 - m47 + m59 - m68 + m73 + m78 + m82 + m85 + m90 + m106 + m108 - m124 + m141 + m144 - m150 - m152 + m161 + m171 - m175 + m190 + m196 + m207 + m221 + m223",
"c21 = -m17 - m20 + m35 - m46 - m49 + m52 + m56 + m58 - m62 + m117 - m123 - m138 + m139 - m155 - m156 - m163 - m186 - m201 - m213 + m214",
"c22 = m2 + m16 + m17 + m19 + m20 - m32 + m42 - m54 + m56 - m58 - m92 + m112 + m123 - m126 - m129 + m132 + m138 - m139 - m145 + m155 + m156 + m164 + m170 + m184 + m186 + m203 + m204 - m220 - m222",
"c23 = -m17 - m20 + m28 - m36 - m56 + m58 + m60 - m62 + m105 + m114 - m123 - m131 - m138 + m139 - m151 + m154 - m155 - m156 + m163 - m186 - m201 - m213",
"c24 = m16 + m17 + m20 + m42 + m56 - m58 + m66 + m123 - m126 - m129 + m138 - m139 + m155 + m156 + m164 + m184 + m186 + m203 + m204 - m222",
"c25 = m42 + m119 - m126 - m129 - m163 + m164 + m184 + m203 + m204 - m222",
"c26 = m28 - m53 + m60 + m105 + m114 - m131 + m154 + m162 + m167 + m185 + m191 + m207",
"c27 = m17 + m20 + m34 + m36 - m53 + m56 + m62 - m94 + m134 - m135 + m151 + m162 - m163 + m167 + m185 + m186 + m191 + m207 + m210 - m211 + m213",
"c28 = m30 + m34 + m36 - m53 + m56 + m66 + m121 + m125 + m147 + m151 + m162 + m167 + m185 + m191 + m201 + m207 + m213",
"c29 = m5 + m7 + m8 + m25 + m26 + m27 + m40 + m44 - m50 + m67 + m68 + m79 + m80 - m87 + m91 + m94 + m96 + m98 + m101 + m109 - m134 + m135 + m140 + m143 + m153 + m157 + m165 + m187 + m189 - m210 + m211 + m227 + m228",
"c210 = m7 + m26 + m40 + m44 - m50 + m67 + m80 - m87 + m91 + m94 + m98 - m134 + m135 + m140 + m143 + m147 + m187 + m189 - m210 + m211 + m227",
"c211 = m7 + m26 - m36 + m40 + m44 - m56 + m80 + m91 + m118 + m140 - m151 + m187",
"c212 = m30 + m36 - m50 + m66 + m67 - m87 + m94 + m97 + m98 + m121 + m125 - m134 + m135 + m147 + m151 + m163 + m189 + m201 - m210 + m211 + m213 + m227",
"c213 = m30 + m34 + m36 + m38 + m56 + m57 + m66 + m120 + m121 + m125 + m147 + m148 + m151 + m152 + m181 + m201 + m213",
"c31 = m3 - m6 + m10 - m22 - m28 - m29 - m39 - m60 + m63 - m65 + m75 - m84 - m111 + m116 - m128 - m130 + m133 - m136 + m137 + m177 - m185 - m191 + m198 - m199 - m209 - m218 - m225",
"c32 = -m10 - m11 + m19 - m50 - m59 - m63 + m65 - m75 - m80 - m85 - m88 - m90 + m123 - m133 + m157 - m171 - m183 + m204 - m223",
"c33 = m6 + m22 + m28 + m39 + m60 + m63 + m75 + m111 + m128 + m130 + m133 + m136 + m185 + m191 + m194 + m199 + m209 + m212 + m225",
"c34 = -m10 + m19 - m22 - m50 - m60 - m63 + m65 - m75 - m80 + m116 + m123 - m130 - m133 - m136 + m157 - m171 - m185 + m204 - m223 - m225",
"c35 = m3 - m6 - m28 - m39 - m111 - m128 - m171 - m191 - m199 - m209 - m223",
"c36 = m5 + m6 - m11 - m12 + m13 + m14 + m18 + m22 + m23 + m28 - m33 + m36 + m39 + m48 - m53 - m59 + m60 + m61 + m63 + m71 - m72 + m75 + m76 + m78 + m88 - m90 + m93 + m95 + m99 - m100 + m104 + m105 + m108 + m111 + m114 + m128 + m130 - m131 + m133 + m136 + m141 + m149 + m154 + m158 + m160 + m162 - m166 + m167 + m171 + m173 + m176 + m182 + m185 + m191 + m194 + m195 + m199 + m207 - m208 + m209 + m225",
"c37 = m5 - m11 + m13 + m14 + m18 - m33 + m36 - m53 - m59 + m71 - m72 + m78 + m88 - m90 + m95 + m99 - m100 + m104 + m105 + m108 - m131 + m141 + m154 + m158 + m160 + m162 - m166 + m171 + m176 + m182 + m195 + m207 - m208",
"c38 = m5 - m11 + m14 + m18 + m36 - m59 + m69 + m78 + m88 + m99 + m105 + m108 + m110 + m141 + m158 + m159 + m171 + m182 + m192 + m197 + m202 + m207 + m226",
"c39 = m10 - m11 + m27 + m58 - m59 + m63 + m65 + m67 + m75 - m85 - m88 - m90 + m92 + m129 + m133 + m140 - m171 - m183 - m223",
"c310 = -m11 + m18 + m27 - m33 + m43 - m53 + m58 - m59 + m65 + m67 - m72 - m85 + m88 - m90 + m92 + m99 - m100 + m129 - m131 + m140 - m171 - m197 - m208 - m223",
"c311 = -m5 - m14 - m21 - m36 + m65 - m78 - m105 - m108 - m141 - m158 - m182 - m207",
"c312 = -m5 + m33 - m36 + m53 + m69 + m72 + m90 + m100 - m108 + m110 + m131 + m159 + m179 + m197 + m202 + m208 + m226",
"c313 = m5 + m11 + m14 + m21 + m36 + m43 + m59 + m73 + m78 + m82 + m85 + m88 + m90 + m105 + m106 + m108 + m141 + m144 + m158 + m171 + m180 + m182 + m183 + m207 + m221 + m223",
"c41 = m5 - m17 - m20 - m24 + m35 + m36 + m38 - m46 - m49 - m51 + m52 + m56 - m62 + m70 + m77 + m81 + m86 + m89 + m113 + m115 + m117 - m123 - m148 - m155 - m156 + m172 - m201 - m213 + m214 - m216",
"c42 = m17 + m19 - m25 + m37 + m41 - m47 + m51 + m69 + m73 + m112 + m123 + m132 - m150 + m155 + m161 + m170 + m184 + m196 + m203 + m204 + m221",
"c43 = m5 - m17 - m20 + m28 - m38 - m51 - m56 + m60 - m62 + m63 + m93 + m105 - m113 + m114 - m115 - m123 + m130 - m131 + m148 - m151 + m154 - m155 - m156 + m160 - m172 + m182 - m201 + m209 - m213",
"c44 = m17 - m25 + m32 + m37 + m38 + m51 + m66 + m69 + m73 + m115 + m123 + m155 + m161 + m184 + m203 + m204",
"c45 = m37 + m69 + m73 + m113 + m119 - m148 + m161 + m164 + m172 + m184 + m203 + m204",
"c46 = m28 + m36 + m39 - m53 + m60 + m61 + m63 + m75 + m93 + m104 + m105 + m107 + m114 + m130 - m131 + m154 + m160 + m162 + m167 + m179 + m182 + m185 + m191 + m207 + m209 + m225",
"c47 = m1 - m5 + m17 + m20 + m36 + m38 + m39 - m53 + m56 - m57 + m61 + m62 + m75 + m83 + m104 + m107 + m113 + m115 + m134 + m142 - m148 + m151 + m162 + m167 + m172 + m179 + m185 + m191 + m207 + m210 - m211 + m213 + m225",
"c48 = m1 + m4 - m5 + m33 + m36 + m38 + m39 + m47 + m50 - m53 + m56 - m57 + m61 + m74 + m75 + m79 + m83 + m87 + m103 + m104 + m107 + m113 + m115 - m120 + m134 + m142 - m148 + m151 + m162 + m167 + m172 + m174 + m175 + m179 + m180 - m181 + m185 + m188 + m191 + m207 + m210 + m215 + m224 + m225",
"c49 = m7 + m8 + m25 + m26 + m27 + m37 + m40 + m41 + m44 - m47 - m50 + m51 + m54 + m58 + m67 + m69 + m73 + m79 + m80 - m87 + m91 + m92 + m94 + m96 + m98 + m101 + m126 + m129 - m134 + m135 + m139 + m140 + m143 + m145 - m150 + m153 + m157 + m161 + m165 + m169 + m187 + m189 + m196 - m210 + m211 + m220 + m221 + m222 + m227 + m228",
"c410 = m7 + m8 + m26 + m27 + m37 + m40 + m41 + m44 - m47 - m50 + m51 + m54 + m58 + m67 + m69 + m73 + m80 - m87 + m91 + m92 + m94 + m98 + m101 + m120 + m126 + m129 - m134 + m135 + m139 + m140 + m143 - m144 + m145 - m150 + m159 + m161 + m165 + m169 - m174 + m187 - m188 + m189 + m196 + m200 - m210 + m211 + m220 + m221 + m222 + m227",
"c411 = -m5 + m15 - m36 + m40 + m44 - m56 - m68 + m80 + m91 + m106 - m124 - m151 - m152 + m190",
"c412 = m5 + m33 + m36 + m47 + m74 + m79 + m103 - m120 + m151 + m174 + m175 + m188 + m189 + m211 + m226",
"c413 = m1 + m4 + m5 + m33 + m36 + m47 + m50 + m56 + m68 + m74 + m79 + m83 + m87 + m103 + m113 + m134 + m151 + m152 + m174 + m175 + m180 + m188 + m210 + m224",
"c51 = m5 + m31 + m36 + m38 - m51 + m70 + m77 + m86 + m89 + m113 + m115 + m117 - m127 + m137 - m148 + m168 + m172 + m214",
"c52 = -m5 + m17 + m19 - m29 - m36 + m37 - m40 + m41 - m44 + m45 - m47 - m50 + m51 + m69 - m70 + m73 - m77 - m80 - m87 + m96 + m102 + m112 + m123 + m132 - m150 + m155 + m157 + m161 + m184 + m196 + m198 + m203 + m204 - m205 - m206 - m210 + m219 + m221 + m228",
"c53 = m5 - m9 + m14 - m24 + m28 - m35 - m38 + m46 - m49 - m51 + m55 + m60 + m63 - m70 + m71 + m76 - m81 + m88 + m93 + m105 - m113 + m114 - m115 - m127 + m128 + m130 - m131 + m137 + m146 + m148 + m154 + m160 + m168 - m172 - m178 + m182 - m208 + m209 + m216",
"c54 = -m5 + m17 + m19 - m29 - m36 + m37 + m38 - m40 - m44 + m45 - m50 + m51 + m69 - m70 + m73 - m77 - m80 + m86 - m87 + m96 + m102 + m112 + m115 + m117 + m123 + m132 + m155 + m157 + m161 + m184 + m193 + m198 + m203 + m204 - m205 - m206 - m210 + m217 + m218 + m219 + m228",
"c55 = m31 + m37 + m48 + m64 + m69 + m73 + m84 + m89 + m113 + m122 - m148 + m161 + m172 + m214",
"c56 = -m11 + m14 + m23 + m28 - m33 + m36 + m39 - m53 + m60 + m61 + m63 + m71 + m75 + m76 + m88 - m90 + m93 + m95 - m100 + m104 + m105 + m107 + m111 + m114 + m128 + m130 - m131 + m141 + m154 + m160 + m162 + m167 + m179 + m182 + m185 + m191 + m207 - m208 + m209 + m225",
"c57 = m1 - m5 + m9 - m11 + m23 + m24 - m33 + m35 + m36 + m38 + m39 + m49 - m53 - m57 + m61 + m70 + m75 + m81 + m83 - m90 + m95 - m100 + m104 + m107 + m111 + m113 + m115 + m127 + m141 + m142 - m146 - m148 + m162 + m167 + m172 + m178 + m179 + m185 + m191 + m207 + m225",
"c58 = m1 + m4 - m5 - m11 + m23 + m24 + m36 + m38 + m39 + m47 + m49 - m53 - m57 + m61 + m70 + m74 + m75 + m83 - m90 + m95 - m100 + m104 + m107 + m111 + m113 + m115 - m120 + m141 + m142 - m148 + m162 + m167 + m172 + m174 + m175 + m178 + m179 + m180 - m181 + m185 + m188 + m191 + m207 + m215 + m219 + m224 + m225",
"c59 = m5 + m7 + m8 + m27 + m29 + m36 + m37 + m41 + m45 - m47 + m51 + m54 + m58 + m67 + m69 + m70 + m73 + m77 + m92 + m102 + m126 + m129 + m135 + m139 + m140 - m150 + m161 + m165 + m169 + m187 + m196 + m198 + m205 + m206 - m219 + m220 + m221 + m222 + m227",
"c510 = m7 + m8 + m27 - m33 + m37 + m41 + m45 - m47 + m51 + m54 + m58 + m67 + m69 + m73 + m92 + m102 + m120 + m126 + m129 + m135 + m139 + m140 - m144 - m146 - m150 + m159 + m161 + m165 + m169 - m174 + m187 - m188 + m196 + m198 + m200 - m219 + m220 + m221 + m222 + m227",
"c511 = -m5 + m15 - m24 - m36 + m45 - m49 - m68 - m70 + m102 + m106 - m124 - m152 - m178 + m190 + m198",
"c512 = m5 + m33 + m36 + m47 + m70 + m74 - m120 + m146 + m174 + m175 + m188 + m226",
"c513 = m1 + m4 + m5 + m24 + m36 + m47 + m49 + m68 + m70 + m74 + m124 + m150 + m152 + m175 + m178 + m180 + m188 + m219"
],
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],
"invariant_f": "2x^5yz + x^4y^2z + x^2y^4z + 2xy^5z + x^4yz^2 + 8x^3y^2z^2 + 8x^2y^3z^2 + xy^4z^2 + 8x^2y^2z^3 + x^2yz^4 + xy^2z^4 + 2xyz^5 + 8x^4yz + 8xy^4z + 558x^2y^2z^2 + 8xyz^4 + 16x^3yz + 16x^2y^2z + 16xy^3z + 16x^2yz^2 + 16xy^2z^2 + 16xyz^3 + 166x^2yz + 166xy^2z + 166xyz^2 + 156xyz",
"invariant_g": "w^400 + w^389 + w^325",
"type": "3X^2Y^3Z^2 + XY^4Z^2 + X^2Y^2Z^3 + XYZ^5 + 3XY^4Z + 93X^2Y^2Z^2 + XYZ^4 + 6XY^3Z + 8XY^2Z^2 + 2XYZ^3 + 40XY^2Z + 43XYZ^2 + 26XYZ"
}