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899 lines (899 loc) · 124 KB
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{
"n": [4, 5, 14],
"m": 206,
"z2": false,
"complexity": 2894,
"multiplications": [
"m1 = (1/2a11 + 1/2a12 + 1/2a13 - 1/2a14 + 1/2a21 + 1/2a22 - 1/2a23 + 1/2a24 - a35 - a42 + a43 - a45) * (-b22 - 1/2b52)",
"m2 = (-2a21) * (1/2b11 + 1/2b12 + 1/2b21 + 1/2b22)",
"m3 = (2a44) * (1/2b11 - 1/2b12 + 1/2b41 - 1/2b42)",
"m4 = (a12 + a15 + a21 - a25 - 1/2a31 + 1/2a32 - 1/2a33 + 1/2a34 - 1/2a41 - 1/2a42 + 1/2a43 + 1/2a44) * (1/2b11 - 1/2b12 + 1/2b21 + 1/2b22 + 1/2b52)",
"m5 = (2a32) * (b21 + b31)",
"m6 = (-1/2a11 + 1/2a12 - 1/2a13 + 1/2a14 - a15 - 1/2a21 + 1/2a22 - 1/2a23 + 1/2a24 - a25 + 1/2a31 - 1/2a32 + 1/2a33 - 1/2a34 + a35 + 1/2a41 - 1/2a42 + 1/2a43 - 1/2a44 + a45) * (-b31 - 1/2b51)",
"m7 = (2a12) * (1/2b11 - 1/2b12 + 1/2b21 - 1/2b22)",
"m8 = (-a13 + a23 - a33 + a43) * (-b31 - b32 - 1/2b51 - 1/2b52)",
"m9 = (a11 + a21 + a31 + a41) * (-b12 - 1/2b52)",
"m10 = (2a24) * (-b31 - b41)",
"m11 = (a13 - a23 - a33 + a43) * (-b31 - b32 + 1/2b51 + 1/2b52)",
"m12 = (a13 - a14 - a15 - a25 + 1/2a31 + 1/2a32 - 1/2a33 + 1/2a34 + 1/2a41 - 1/2a42 + 1/2a43 + 1/2a44) * (-b42 - 1/2b52)",
"m13 = (1/2a11 - 1/2a12 + 1/2a13 - 1/2a14 - a15 + 1/2a21 - 1/2a22 + 1/2a23 - 1/2a24 - a25 + 1/2a31 - 1/2a32 + 1/2a33 - 1/2a34 - a35 + 1/2a41 - 1/2a42 + 1/2a43 - 1/2a44 - a45) * (-b31 + 1/2b51)",
"m14 = (-1/2a11 + 1/2a12 - 1/2a13 + 1/2a14 - 1/2a21 + 1/2a22 + 1/2a23 - 1/2a24 + a32 + a35 - a43 + a45) * (-b22 + b31 - 1/2b51 - 1/2b52)",
"m15 = (1/2a11 - 1/2a12 - 1/2a13 - 1/2a14 + 1/2a21 - 1/2a22 + 1/2a23 + 1/2a24 + a31 - a34 + a35 - a45) * (-b41 - b42 + 1/2b51 + 1/2b52)",
"m16 = (-a15 + a21 - a22 + a25 + 1/2a31 + 1/2a32 + 1/2a33 - 1/2a34 + 1/2a41 - 1/2a42 - 1/2a43 - 1/2a44) * (-b21 - b22 + 1/2b51 + 1/2b52)",
"m17 = (-a13 - a15 + a24 - a25 + 1/2a31 + 1/2a32 - 1/2a33 - 1/2a34 + 1/2a41 - 1/2a42 + 1/2a43 - 1/2a44) * (-b31 + b42 - 1/2b51 - 1/2b52)",
"m18 = (-1/2a11 + 1/2a12 + 1/2a13 - 1/2a14 - 1/2a21 + 1/2a22 - 1/2a23 + 1/2a24 - a31 - a35 - a44 + a45) * (1/2b11 - 1/2b12 + 1/2b41 + 1/2b42 - 1/2b52)",
"m19 = (a13 - a15 - a24 - a25 + 1/2a31 + 1/2a32 - 1/2a33 - 1/2a34 + 1/2a41 - 1/2a42 + 1/2a43 - 1/2a44) * (-b31 + b42 + 1/2b51 + 1/2b52)",
"m20 = (1/2a11 + 1/2a12 + 1/2a13 - 1/2a14 + 1/2a21 + 1/2a22 - 1/2a23 + 1/2a24 - a35 + a42 - a43 - a45) * (b22 - 1/2b52)",
"m21 = (-1/2a11 + 1/2a12 - 1/2a13 + 1/2a14 - a15 + 1/2a21 - 1/2a22 + 1/2a23 - 1/2a24 + a25 + 1/2a31 - 1/2a32 + 1/2a33 - 1/2a34 + a35 - 1/2a41 + 1/2a42 - 1/2a43 + 1/2a44 - a45) * (b11 - b12 + 1/2b51 - 1/2b52)",
"m22 = (2a31) * (-1/2b11 - 1/2b12 - 1/2b41 - 1/2b42)",
"m23 = (-1/2a11 + 1/2a12 + 1/2a13 + 1/2a14 - 1/2a21 + 1/2a22 - 1/2a23 - 1/2a24 + a31 - a34 - a35 + a45) * (b41 + b42 + 1/2b51 + 1/2b52)",
"m24 = (-1/2a11 + 1/2a12 - 1/2a13 + 1/2a14 - 1/2a21 + 1/2a22 + 1/2a23 - 1/2a24 - a32 + a35 + a43 + a45) * (-b22 + b31 + 1/2b51 + 1/2b52)",
"m25 = (-a12 + a15 - a21 - a25 - 1/2a31 + 1/2a32 - 1/2a33 + 1/2a34 - 1/2a41 - 1/2a42 + 1/2a43 + 1/2a44) * (1/2b11 - 1/2b12 + 1/2b21 + 1/2b22 - 1/2b52)",
"m26 = (a13 - a14 + a15 + a25 - 1/2a31 - 1/2a32 + 1/2a33 - 1/2a34 - 1/2a41 + 1/2a42 - 1/2a43 - 1/2a44) * (b42 - 1/2b52)",
"m27 = (1/2a11 - 1/2a12 - 1/2a13 + 1/2a14 + 1/2a21 - 1/2a22 + 1/2a23 - 1/2a24 - a31 + a35 - a44 - a45) * (-1/2b11 + 1/2b12 - 1/2b41 - 1/2b42 - 1/2b52)",
"m28 = (-2a13) * (-b32 - b42)",
"m29 = (-a11 - a21 + a31 + a41) * (-b12 + 1/2b52)",
"m30 = (2a43) * (-b22 - b32)",
"m31 = (1/2a11 - 1/2a12 + 1/2a13 - 1/2a14 - a15 - 1/2a21 + 1/2a22 - 1/2a23 + 1/2a24 + a25 + 1/2a31 - 1/2a32 + 1/2a33 - 1/2a34 - a35 - 1/2a41 + 1/2a42 - 1/2a43 + 1/2a44 + a45) * (b11 - b12 - 1/2b51 + 1/2b52)",
"m32 = (-a15 - a21 + a22 + a25 + 1/2a31 + 1/2a32 + 1/2a33 - 1/2a34 + 1/2a41 - 1/2a42 - 1/2a43 - 1/2a44) * (b21 + b22 + 1/2b51 + 1/2b52)",
"m33 = (-a24 + a25) * (b29 + b49)",
"m34 = (a21 - a24 + a25) * (-b23 + b25 - b43 + b45)",
"m35 = (a14 - a33 - a35 + a44) * (b410 + b413 + b510)",
"m36 = (a13 - a33 + a41) * (b112 - b113 - b39 + b312 - b313 - b512 + b513)",
"m37 = (-a13 - a31 + a33) * (b14 - b16 - b111 + b37)",
"m38 = (a11 - a14 + a15 - a31 + a34 - a35 + a41 - a44 + a45) * (-b14 + b16 - b18 + b19)",
"m39 = (-a12 + a14 + a22 + a32 - a34 - a42) * (-b24 + b25 + b26 + b27 + b45 + b47)",
"m40 = (a13 - a32 - a33 + a34 - a35) * (-b111 + b112 - b211 - b311 + b312 - b411 + b412)",
"m41 = (a13 + a15 - a33 - a35 + a43 + a45) * (-b113 + b44 - b411 + b412 + b54 - b511 + b512 + b513)",
"m42 = (a12 + a42) * (b210 + b213)",
"m43 = (a12 - a14) * (-b411 + b412 - b511 + b512)",
"m44 = (a11 - a13 - a21 + a23 - a31 + a33 + a41 - a43) * (b13 - b14 - b15 + b16)",
"m45 = (-a12 + a32 - a42) * (-b28 - b211 + b212 - b213 - b411 + b412)",
"m46 = (-a23 + a24 - a25) * (-b25 - b28 + b29 - b45 - b48 + b49)",
"m47 = (a11 - a13 - a31 + a33) * (-b14 + b16 + b111)",
"m48 = (-a11 - a15 + a33 + a35 - a41 - a45) * (b113 + b414 + b514)",
"m49 = (-a13 + a23 + a33 - a43) * (b13 - b15 - b111 + b112 - b113 + b33 - b35 - b311 + b312 - b313 - b53 + b55 + b511 - b512 + b513)",
"m50 = (a22 - a42) * (-b25 + b27 - b28 + b211 - b213 - b214 - b45 + b47 - b48 + b411 - b412 - b512 + b513 + b514)",
"m51 = (a33 - a34 + a35) * (b14 + b15 - b16 + b18 - b19 + b214 + b34 - b36 + b414)",
"m52 = (a15) * (-b19 + b110 - b39 + b310 + b412 + b59 - b510 + b512)",
"m53 = (a14 - a15 - a34 + a35 + a44 - a45) * (b15 - b38 + b39 + b58)",
"m54 = (-a21 - a22 + a24 - a25 + a41 + a42 - a44 + a45) * (b15 + b18 - b112 + b113)",
"m55 = (-a14 + a15 + a33 - a44 + a45) * (b15 + b18 - b110 + b39 - b310 + b510)",
"m56 = (a12 - a14 - a22 + a24 + a42 - a44) * (b410 + b510)",
"m57 = (-a12 + a14 - a35) * (-b24 + b25 + b26 + b27 - b411 + b412 - b511 + b512)",
"m58 = (-a12 + a32 - a42) * (-b211 + b212 - b411 + b412)",
"m59 = (-a35) * (-b113 - b313 - b44 + b45 + b46 + b47 + b411 - b412 - b54 + b55 + b56 + b57 + b511 - b512 + b513)",
"m60 = (-a11 + a14 - a15 + a31 - a34 + a35 - a41 + a44 - a45) * (b15)",
"m61 = (a45) * (b15 - b16 + b17 + b18 - b19 + b35 - b36 + b37 + b38 - b39 - b55 + b56 - b57 - b58 + b59)",
"m62 = (a12 - a14 + a15) * (-b211 - b411 + b412 - b511 + b512)",
"m63 = (-a12 + a22 - a24 + a25 + a32 - a42) * (-b18 + b19 + b29 - b38 + b39 + b49 + b58)",
"m64 = (a13 - a33 + a34 - a35 + a43) * (b14 - b16 + b24 + b34 - b36 + b44)",
"m65 = (-a22 + a24 - a25 + a45) * (-b15 + b16 - b17 - b18 + b19 - b35 + b36 - b37 - b38 + b39 + b49 + b55 - b56 + b57 + b58)",
"m66 = (a22 - a24) * (b45 - b46 + b47 + b48 + b55 - b56 + b57 + b58)",
"m67 = (a13 - a33 + a43) * (b39)",
"m68 = (a11 + a25 - a45) * (-b13 + b14 + b15 - b16 - b17 + b57)",
"m69 = (-a13 - a15 - a21 + a23 + a33 + a35 - a43 - a45) * (-b113 - b43 + b45 + b411 - b412 - b53 + b55 + b511 - b512 + b513)",
"m70 = (a22 + a23 - a24 + a25 - a43 - a45) * (-b15 - b18 + b19 - b35 + b36 - b37 - b38 + b39 - b45 - b48 + b49)",
"m71 = (a12 - a14 - a32 + a34) * (-b24 + b25 + b26 + b27)",
"m72 = (-a14 + a15 + a45) * (-b24 - b44 - b54 + b56)",
"m73 = (-a22 - a23 + a24 - a25) * (-b15 - b18 + b19 - b25 - b28 + b29 - b35 + b36 - b37 - b38 + b39 - b45 - b48 + b49)",
"m74 = (-a12 + a22 - a42) * (-b25 - b27 - b28 + b210 - b45 - b47 - b48 + b410)",
"m75 = (a11 + a15 + a41 + a42 - a44 + a45) * (b414 + b514)",
"m76 = (a42) * (b211 - b212 + b214 + b411 - b412 + b414 + b514)",
"m77 = (-a22 + a42) * (b24 - b26 - b211 + b212 - b411 + b412)",
"m78 = (a21 + a25) * (-b43 + b45 + b411 - b412 - b53 + b55 + b511 - b512 + b513)",
"m79 = (a11 + a15) * (b15 + b18 - b110 + b57)",
"m80 = (-a11 + a14 - a15 - a41 + a44 - a45) * (b214 + b414)",
"m81 = (-a21) * (b13 - b15 - b19 - b111 + b112 - b113 + b33 - b35 - b39 - b311 + b312 - b313 - b53 + b55 + b511 - b512 + b513)",
"m82 = (a25 - a45) * (b49 + b59)",
"m83 = (-a15 + a25 - a45) * (b43 - b45 - b411 + b412 + b53 - b55 - b511 + b512)",
"m84 = (a13 - a33 - a35) * (-b113 - b313 - b412 - b512 + b513)",
"m85 = (a33) * (b35)",
"m86 = (a21 - a23) * (-b33 + b35 + b39 + b311 - b312 + b313)",
"m87 = (a35) * (-b113 - b313 + b513)",
"m88 = (a32 - a34 + a35) * (-b111 + b112 - b24 + b25 + b26 + b27 - b311 + b312 - b411 + b412)",
"m89 = (a11) * (b14 - b16 - b17 - b111 + b57)",
"m90 = (-a24 + a44) * (b23 - b25 + b43 - b44 - b45 + b46)",
"m91 = (a21 + a25 - a41 - a45) * (b13 - b14 - b15 + b16 + b17 + b47)",
"m92 = (a21 + a22 - a24 + a25 - a42) * (b114 + b27 + b47)",
"m93 = (a13 - a23 - a32 - a33 + a34 - a35 + a43) * (-b111 + b112 - b23 + b25 - b311 + b312 - b411 + b412)",
"m94 = (a12 - a14 - a22 + a24 - a25 + a42 - a44 + a45) * (b19 - b110 + b39 - b310 + b49 + b510)",
"m95 = (-a14 + a15) * (-b211 - b411 - b54 + b56)",
"m96 = (a12 - a32 - a33 + a34 - a35 + a42) * (-b210 - b211 + b212 - b213 - b411 + b412)",
"m97 = (a32 + a33 - a34 + a35) * (-b111 + b112 - b210 - b211 + b212 - b213 - b214 - b311 + b312 - b411 + b412)",
"m98 = (a12 - a14 - a21 - a22 + a24 - a25 + a41 + a42 - a44 + a45) * (-b15 - b18 + b110 + b47)",
"m99 = (-a21 - a22 + a24 - a25 + a41 + a45) * (-b16 + b17 + b47)",
"m100 = (a34 - a35) * (-b14 + b16 - b24 + b25 + b26 + b27 - b34 + b36 - b44 + b45 + b46 + b47)",
"m101 = (a11 + a15 - a31 - a35 + a41 + a45) * (b113)",
"m102 = (-a12 + a14) * (b24 - b25 - b26 - b27 - b28 + b210)",
"m103 = (-a13 + a23 - a31 + a33 - a43) * (-b13 + b14 + b15 - b16 + b37)",
"m104 = (-a22 + a42) * (-b211 + b212 - b411 + b412)",
"m105 = (-a24 + a44) * (-b23 + b25 - b43 + b44 + b45 - b46 - b412 + b413 + b414 - b512 + b513 + b514)",
"m106 = (-a22) * (-b26 - b211 + b212 - b46 - b411 + b412)",
"m107 = (-a13 + a14 - a15 - a21 + a23 + a33 - a34 + a35 - a43 + a44 - a45) * (-b14 + b16 - b23 + b25 - b43 + b45)",
"m108 = (-a13 - a25 + a45) * (b15 + b18 - b19 + b33 - b34 + b36 + b37 + b38 - b39 - b55 - b58 + b59)",
"m109 = (-a21 + a23) * (-b15 - b18 + b19 - b33 + b35 + b39 + b311 - b312 + b313)",
"m110 = (-a13 + a14 - a15 + a33 - a34 + a35 - a43 + a44 - a45) * (b14 - b16 + b24 + b44)",
"m111 = (a12 - a22 - a32 + a42) * (b25 + b27 - b211 + b212 + b45 + b47 - b411 + b412)",
"m112 = (a43 - a44 + a45) * (b314)",
"m113 = (a13 - a23 - a33 + a34 - a35 + a43) * (-b14 + b16 - b23 + b25 - b34 + b36 - b43 + b45)",
"m114 = (-a12 + a22 - a24 - a42) * (-b213 + b410 + b510)",
"m115 = (-a11 + a14 - a15 - a41 + a44 - a45) * (-b19 + b110)",
"m116 = (-a33) * (-b110 - b114 - b310 - b314 + b510 + b514)",
"m117 = (-a41 - a42 + a44 - a45) * (-b211 - b411 + b412)",
"m118 = (a11 - a33 + a41) * (-b15 - b18 - b114 - b314 + b514)",
"m119 = (-a23 - a25 + a43 + a45) * (-b15 - b18 + b19 - b33 + b34 - b36 - b37 - b38 + b39 - b45 - b48 + b49)",
"m120 = (a42 - a44) * (b24 + b414 + b514)",
"m121 = (-a22 + a24) * (b213)",
"m122 = (-a33 + a34 - a35) * (-b14 - b15 + b16 - b18 + b19 + b210 + b211 - b212 + b213 - b34 + b36 + b410 + b411 - b412 + b413)",
"m123 = (-a13 - a43) * (-b36 + b37)",
"m124 = (a31 - a33) * (b37)",
"m125 = (-a12 + a14 + a22 + a23 - a24 + a25 + a32 - a34 - a42 - a43 + a44 - a45) * (-b15 - b18 + b19 - b38 + b39 - b45 - b48 + b49)",
"m126 = (a13 - a23 + a43) * (b33 - b34 - b35 + b36 + b37)",
"m127 = (-a11 - a41) * (-b114 - b314 + b514)",
"m128 = (a24) * (b213 + b413)",
"m129 = (a13 + a15 - a35) * (b15 + b18 - b19 + b38 - b39 - b55 - b58 + b59)",
"m130 = (-a42 + a44) * (b414 + b514)",
"m131 = (-a13 + a14 - a15 + a33 - a34 + a35 - a41 + a44 - a45) * (b14 - b16 + b211 + b411)",
"m132 = (-a12 + a22 - a24 + a25 - a42) * (b19 - b110 + b29 + b39 - b310 + b49 + b510)",
"m133 = (-a15 - a45) * (b44 - b411 + b412 + b54 - b511 + b512)",
"m134 = (a41 - a44 + a45) * (b114)",
"m135 = (a12 - a14 - a22 + a42) * (b24 - b25 - b26 - b27 - b28 + b210 - b45 - b47 - b48 + b410)",
"m136 = (a24 + a41 - a44 + a45) * (-b412 - b512 + b513)",
"m137 = (-a22 - a23 + a24 - a25 + a41 + a42 - a44 + a45) * (-b15 - b18 + b19 + b39 - b312 + b313)",
"m138 = (-a21 + a24 - a25) * (-b23 + b25 + b27 - b43 + b45 + b47)",
"m139 = (a13 + a21 - a23 - a33 + a43) * (b13 - b15 - b111 + b112 - b113 + b33 - b35 - b39 - b311 + b312 - b313 - b53 + b55 + b511 - b512 + b513)",
"m140 = (-a22 + a42) * (-b24 - b25 + b26 + b27 - b28 - b213 - b214 - b45 + b47 - b48 + b514)",
"m141 = (a21 + a22 - a24 + a25) * (b16 - b17 - b23 + b25 - b27 - b47 - b411 + b412)",
"m142 = (-a13 - a15) * (b15 + b18 - b19 - b39 + b310 - b55 - b58 + b59)",
"m143 = (a12 + a13 - a14 + a15 - a32 - a33 + a34 - a35 + a42 + a43 - a44 + a45) * (-b111 + b112 - b24 - b411 + b412)",
"m144 = (a13) * (b15 + b18 - b19 - b34 + b35 + b36 + b37 + b38 - b39 + b311 - b55 - b58 + b59)",
"m145 = (-a12 + a14 + a22 + a23 - a24 + a25 - a42 - a43 + a44 - a45) * (-b15 - b18 + b19 + b39 - b310 - b45 - b48 + b49)",
"m146 = (-a22 + a24 - a25 + a41 + a42 - a44 + a45) * (-b19 + b112 - b113 - b39 + b312 - b313 - b512 + b513)",
"m147 = (-a13 + a32 + a33 - a34 + a35 - a43) * (-b111 + b112 - b24 - b311 + b312 - b411 + b412)",
"m148 = (-a11 - a12 + a14 - a15 + a31 + a32 - a34 + a35 - a41 - a42 + a44 - a45) * (-b111 + b112)",
"m149 = (-a22 + a24 - a25 + a42 - a44 + a45) * (-b19 + b112 - b113 - b114 - b39 + b312 - b313 - b314 - b49 - b512 + b513 + b514)",
"m150 = (a12 - a22 - a23 + a24 - a25 + a42) * (-b15 - b18 + b19 - b25 - b28 + b29 + b39 - b310 - b45 - b48 + b49)",
"m151 = (-a31 + a33) * (-b110 - b111 + b112 - b113 - b114 + b37)",
"m152 = (-a14 + a15 - a25 + a45) * (-b23 + b25 - b43 + b45 - b54 + b56)",
"m153 = (-a11 - a15 + a35) * (b15 + b57)",
"m154 = (a11 + a41 - a44 + a45) * (-b114 - b314 + b514)",
"m155 = (-a12 + a14 + a22 - a24 + a32 - a34 - a42 + a44) * (b48 + b58)",
"m156 = (-a22 + a44) * (b24 + b46)",
"m157 = (-a15) * (b412 + b512)",
"m158 = (a12 - a22 + a24 - a32 + a42) * (-b213 + b48 + b58)",
"m159 = (-a14 + a35) * (-b24 + b25 + b26 + b27 - b44 + b45 + b46 + b47 - b54 + b56)",
"m160 = (a13 - a45) * (b15 + b18 - b19 + b35 - b36 + b37 + b38 - b39 - b55 - b58 + b59)",
"m161 = (a22 - a24 + a25 - a42) * (-b114 - b29 - b314 - b49 + b514)",
"m162 = (a11 - a14 + a15 + a41 - a44 + a45) * (-b15 - b18 + b110)",
"m163 = (-a13 + a33) * (b112 - b113 + b312 - b313 - b512 + b513)",
"m164 = (a12 - a14 - a21 - a22 + a24 - a25 - a32 + a34 + a41 + a42 - a44 + a45) * (-b15 + b47)",
"m165 = (a12 - a14 - a22 + a24 - a25 - a32 + a34 + a42 - a44 + a45) * (-b18 + b19 - b38 + b39 + b49 + b58)",
"m166 = (a21 + a22 - a24 + a25) * (-b16 + b17 + b27 + b47)",
"m167 = (-a14 + a34 - a44) * (b48 + b413 + b58)",
"m168 = (-a12 - a13 + a14 - a15 - a21 + a23 + a32 + a33 - a34 + a35 - a42 - a43 + a44 - a45) * (-b111 + b112 - b23 + b25 - b411 + b412)",
"m169 = (-a11 + a13 - a41 + a44 - a45) * (b314)",
"m170 = (a22) * (-b211 + b212 - b411 + b412)",
"m171 = (-a12 + a21 + a22 - a24 + a25 - a42) * (-b15 - b18 + b110 + b27 + b47)",
"m172 = (-a12 + a21 + a22 - a24 + a25 + a32 - a42) * (-b15 + b27 + b47)",
"m173 = (a22 + a23 - a24 + a25 - a42) * (-b25 - b28 + b29 + b314 - b45 - b48 + b49)",
"m174 = (a21 + a22 - a24 + a25 - a41 - a42 + a44 - a45) * (b15 + b18 - b112 + b113 + b114 + b47)",
"m175 = (-a12 - a13 + a14 - a15 + a32 + a33 - a34 + a35 - a41 - a42 + a44 - a45) * (-b111 + b112 - b211 - b411 + b412)",
"m176 = (a11 - a13 - a31 + a33 + a41 - a43) * (b16)",
"m177 = (a13 - a23 - a33 - a35 + a43) * (-b113 - b313 - b43 + b45 + b411 - b412 - b53 + b55 + b511 - b512 + b513)",
"m178 = (-a13 - a15 + a33 + a35 - a41 - a45) * (-b113 - b412 - b512 + b513)",
"m179 = (-a15 + a35) * (b18 - b19 + b38 - b39 - b58 + b59)",
"m180 = (a13 - a14 + a15 + a43 - a44 + a45) * (-b39 + b310)",
"m181 = (-a11 - a12 + a14 - a15 + a32 + a33 - a34 + a35 - a41 - a42 + a44 - a45) * (b111 - b112 + b214)",
"m182 = (-a31 + a33) * (b14 - b16 - b19 - b111 + b112 - b113 - b114 + b37)",
"m183 = (-a22 + a24 + a42 - a44) * (-b23 + b25)",
"m184 = (-a13 + a33 + a35 - a43) * (-b113 - b313 + b44 - b411 + b412 + b54 - b511 + b512 + b513)",
"m185 = (a12 - a22 - a23 + a24 - a25 - a32 + a42) * (-b15 - b18 + b19 - b25 - b28 + b29 - b38 + b39 - b45 - b48 + b49)",
"m186 = (a41 - a43) * (b39 - b312 + b313)",
"m187 = (a11 - a14 + a15 - a31 + a34 - a35 + a41 - a44 + a45) * (-b14 + b16)",
"m188 = (-a22 - a23 + a24 - a25 + a42 + a43 - a44 + a45) * (-b15 - b18 + b19 + b39 - b312 + b313 + b314 - b45 - b48 + b49)",
"m189 = (a24 - a42) * (-b213 + b414 + b514)",
"m190 = (a11 + a12 - a14 + a15 + a41 + a42 - a44 + a45) * (b214)",
"m191 = (a33 + a35) * (b113 + b313 + b410 + b413 + b414 + b510 + b514)",
"m192 = (a11 - a31 + a41) * (b15 + b18)",
"m193 = (a31) * (b15 + b17 + b37)",
"m194 = (a13 - a14 + a15 - a33 + a34 - a35 + a43 - a44 + a45) * (b14 - b16 + b24 - b38 + b39 + b44)",
"m195 = (-a13) * (b15 + b18 - b19 + b35 + b38 - b39 - b55 - b58 + b59)",
"m196 = (-a11 + a45) * (b16 - b17 + b57)",
"m197 = (a14) * (-b24 + b25 + b26 + b27 + b28 - b210 - b44 + b45 + b46 + b47 + b48 - b410 - b54 + b56)",
"m198 = (a13 - a33 + a34 - a35) * (b14 - b16 + b211 + b34 - b36 + b411)",
"m199 = (-a25 + a45) * (-b13 + b14 - b16 - b17 - b18 + b19 - b33 + b34 - b36 - b37 - b38 + b39 + b49 + b53 - b54 + b56 + b57 + b58)",
"m200 = (a12 - a14 + a15 - a25 + a45) * (-b23 + b25 - b411 + b412 - b511 + b512)",
"m201 = (a22 - a24 + a25) * (-b15 + b16 - b17 - b18 + b19 + b29 - b35 + b36 - b37 - b38 + b39 + b49 + b55 - b56 + b57 + b58)",
"m202 = (a13 + a31 - a33 + a43) * (b16 + b37)",
"m203 = (a13 - a33 + a43) * (-b14 + b111 - b112 - b113 - b34 - b39 + b311 - b312 - b313 + b54 - b511 + b512 + b513)",
"m204 = (-a41 + a44 - a45) * (b114 + b211 + b411)",
"m205 = (a11 - a14 + a15 - a33 + a34 - a35 + a41 - a44 + a45) * (b14 + b15 - b16 + b18 - b19 + b214 + b414)",
"m206 = (-a12 + a14 - a15 - a45) * (-b24 - b411 + b412 - b511 + b512)"
],
"elements": [
"c11 = 1/2m2 + 1/2m4 + 1/2m7 - 1/2m9 - 1/2m10 - 1/2m12 + 1/2m15 + 1/2m17 - m18 - 1/2m19 - 1/2m21 + 1/2m23 - 1/2m25 + 1/2m26 - m27 + 1/2m29 + 1/2m31",
"c12 = 1/2m2 + 1/2m4 - 1/2m7 - 1/2m9 + 1/2m12 - 1/2m25 - 1/2m26 + 1/2m28 + 1/2m29",
"c13 = m37 + m47 + m51 + m54 - m57 - m59 - m68 + m74 - m77 - m79 + m80 - m82 - m83 - m87 + m89 - m92 - m95 + m98 + m104 - m108 + m115 + m124 - m129 + m131 + m135 + m152 - m153 - m159 + m171 + m174 - m179 - m197 + m198 - m199 - m200 - m204 + m205",
"c14 = -m37 + m43 - m47 + m51 - m61 + m72 + m80 - m89 - m95 + m115 - m124 + m131 - m133 - m134 - m160 + m162 - m195 - m196 + m198 - m204 + m205 + m206",
"c15 = -m43 + m54 - m57 - m59 + m74 - m77 - m79 - m87 - m92 + m98 + m104 - m129 + m134 + m135 - m153 - m159 - m162 + m171 + m174 - m179 - m195 - m197",
"c16 = -m37 + m43 - m47 - m61 + m72 - m74 + m77 - m89 - m104 - m124 - m133 - m135 - m160 - m195 - m196 + m197 + m206",
"c17 = -m37 - m47 - m54 + m79 - m89 + m92 - m98 - m124 - m134 + m162 - m171 - m174",
"c18 = -m36 + m43 + m52 - m54 + m55 + m57 + m59 - m74 + m77 + m79 + m87 + m92 - m94 - m98 - m104 + m112 + m116 - m118 + m129 - m132 - m134 - m135 + m137 + m142 - m145 + m146 - m149 - m150 + m153 + m154 + m157 + m159 - m161 + m162 - m163 - m171 - m173 - m174 + m179 + m180 - m186 - m188 + m197",
"c19 = -m36 + m52 + m55 - m94 + m115 + m116 - m118 - m132 + m146 - m149 + m154 + m157 - m161 + m162 - m163",
"c110 = -m36 - m54 + m55 - m74 + m77 + m92 - m94 - m98 - m102 - m104 + m112 + m116 - m118 - m132 - m134 - m135 + m137 - m145 + m146 - m149 - m150 + m154 - m161 + m162 - m163 - m171 - m173 - m174 + m180 - m186 - m188",
"c111 = m37 + m43 + m47 + m51 - m62 + m80 + m115 + m124 + m131 - m134 + m144 - m157 + m162 + m195 + m198 - m204 + m205",
"c112 = m37 + m40 + m42 + m47 + m51 + m80 + m96 + m97 - m104 + m115 - m117 + m124 + m131 - m134 + m144 - m157 + m162 - m170 + m175 + m181 + m190 + m195 + m198 - m204 + m205",
"c113 = m35 - m48 + m56 - m75 - m84 - m90 - m105 + m114 - m121 - m128 - m136 - m157 - m178 - m189 + m191",
"c114 = m75 - m76 + m80 - m104 - m134 - m154 + m169 - m170 + m190",
"c21 = 1/2m1 - 1/2m2 + 1/2m4 + 1/2m6 - 1/2m7 - 1/2m10 - 1/2m13 + 1/2m14 + 1/2m16 - 1/2m20 + 1/2m24 - 1/2m25 + 1/2m32",
"c22 = -1/2m1 - 1/2m2 - 1/2m4 - 1/2m6 + 1/2m7 - 1/2m8 + 1/2m11 + 1/2m13 - 1/2m14 + 1/2m17 - 1/2m19 + 1/2m20 - 1/2m24 + 1/2m25 + 1/2m28",
"c23 = m41 - m45 + m49 + m61 - m63 + m65 + m67 + m69 + m70 + m73 + m82 + m83 + m86 + m93 + m108 - m111 + m119 + m120 - m121 + m123 + m126 + m130 + m133 - m138 + m139 + m143 + m147 - m158 + m160 + m168 - m170 - m172 + m177 + m183 + m184 - m185 + m200 + m201 + m206",
"c24 = m34 + m44 + m61 + m64 + m65 + m66 + m68 + m70 - m72 + m82 + m90 + m91 + m99 + m103 + m107 + m108 + m110 + m113 + m119 + m123 + m126 + m152 - m156 + m160 + m176 + m196 + m202",
"c25 = -m34 - m45 + m61 - m63 + m65 + m70 + m73 + m82 + m108 - m111 + m119 - m121 + m123 + m126 - m138 - m158 + m160 - m170 - m172 - m185 + m201",
"c26 = m44 + m61 + m65 + m66 + m68 + m70 + m82 + m91 + m99 + m103 + m106 + m108 + m119 + m123 + m126 + m160 + m170 + m176 + m196 + m202",
"c27 = m34 + m44 + m68 + m91 + m99 + m103 + m138 + m166 + m176 + m196 + m202",
"c28 = -m33 + m34 + m45 - m46 + m49 + m63 + m67 + m81 + m86 + m109 + m111 + m121 + m138 + m139 + m158 + m170 + m172 + m185",
"c29 = -m33 + m49 + m61 + m65 + m67 + m81 + m82 + m139 + m201",
"c210 = -m33 + m34 + m42 - m46 + m49 + m67 + m74 + m81 + m86 + m109 - m114 + m121 + m132 + m138 + m139 + m150 + m171",
"c211 = m41 + m49 + m50 + m54 + m67 + m69 + m77 + m78 + m81 + m83 + m86 + m93 - m104 + m109 + m117 + m120 + m130 + m133 + m134 - m136 + m137 + m139 + m140 + m141 + m143 + m146 + m147 + m166 + m168 + m177 + m183 + m184 + m200 + m204 + m206",
"c212 = m41 + m49 + m50 + m54 + m67 + m69 + m77 + m78 + m81 + m83 + m86 - m104 + m109 + m117 + m133 + m134 - m136 + m137 + m139 + m140 + m146 + m170 + m177 + m184 + m204",
"c213 = m41 + m69 + m78 + m83 - m121 + m128 + m133 + m177 + m184",
"c214 = m33 + m34 + m46 + m76 + m77 + m92 + m121 + m138 + m140 + m161 + m170 + m173 + m189",
"c31 = -1/2m3 + 1/2m5 - 1/2m6 + 1/2m12 - 1/2m13 + 1/2m15 + 1/2m17 - 1/2m18 + 1/2m19 - 1/2m22 - 1/2m23 + 1/2m26 + 1/2m27",
"c32 = 1/2m3 + 1/2m6 + 1/2m8 + 1/2m11 - 1/2m12 + 1/2m13 - 1/2m14 - 1/2m17 + 1/2m18 - 1/2m19 - 1/2m22 + 1/2m24 - 1/2m26 - 1/2m27 - 1/2m30",
"c33 = -m39 + m49 + m51 - m58 - m59 + m60 + m74 - m79 + m80 + m85 + m88 + m93 + m98 + m103 - m111 - m113 + m115 + m124 + m126 + m135 - m153 - m159 - m164 - m170 + m171 - m172 + m177 + m187 - m197 + m205",
"c34 = m43 + m51 + m57 + m64 + m67 + m71 + m80 - m87 + m88 + m115 + m123 - m124 - m147 + m162 + m184 + m187 + m202 + m203 + m205",
"c35 = -m39 - m43 - m57 - m58 - m59 + m60 - m71 + m74 - m79 + m85 - m87 + m98 - m111 + m135 - m153 - m159 - m162 - m164 - m170 + m171 - m172 - m197",
"c36 = m39 + m43 + m57 + m58 + m64 + m67 + m71 - m74 - m87 + m88 + m100 + m111 + m123 - m124 - m135 - m147 + m159 + m170 + m184 + m197 + m202 + m203",
"c37 = -m60 + m79 - m98 - m124 + m153 + m162 + m164 - m171 + m172 + m193",
"c38 = m39 + m43 + m52 + m53 + m55 + m57 + m58 + m59 - m60 + m63 + m71 - m74 + m79 + m87 - m94 - m98 + m110 + m111 + m116 - m118 + m125 - m127 + m129 - m132 - m135 + m142 - m145 - m150 + m153 + m157 + m159 + m162 + m164 + m165 + m170 - m171 + m172 + m179 + m180 + m185 - m192 + m194 + m197",
"c39 = -m38 + m52 + m53 + m55 - m60 + m63 - m94 + m115 + m116 - m118 - m127 - m132 + m157 + m162 + m165 + m179 + m187 - m192",
"c310 = -m35 - m38 + m42 - m51 - m56 + m58 - m60 - m80 + m96 - m114 + m116 - m118 + m122 - m127 + m151 - m155 - m158 - m167 - m182 - m192 - m205",
"c311 = m37 + m40 + m43 + m51 + m57 + m71 + m80 + m84 + m87 + m88 + m115 + m124 + m144 + m162 + m163 + m187 + m195 + m198 + m205",
"c312 = m37 + m40 + m42 + m51 + m58 + m80 + m84 + m87 + m96 + m97 + m115 + m124 + m144 + m148 + m162 + m163 + m181 + m187 + m190 + m195 + m198 + m205",
"c313 = m35 - m48 + m56 - m75 + m87 - m101 + m114 - m130 + m155 + m158 + m167 + m191",
"c314 = m38 + m48 + m60 + m75 + m80 + m101 + m118 + m124 + m127 + m130 + m148 + m181 + m182 + m190 + m192 + m205",
"c41 = -1/2m1 + 1/2m3 - m4 + 1/2m5 - 1/2m9 - 1/2m14 + 1/2m16 - 1/2m18 - 1/2m20 - 1/2m21 + 1/2m22 + 1/2m24 - m25 + 1/2m27 - 1/2m29 - 1/2m31 - 1/2m32",
"c42 = 1/2m1 - 1/2m3 - 1/2m9 - 1/2m18 + 1/2m20 + 1/2m22 + 1/2m27 - 1/2m29 - 1/2m30",
"c43 = -m37 - m39 + m41 + m44 - m45 - m47 + m49 - m54 + m61 - m63 + m65 + m67 + m68 + m69 + m70 - m71 + m73 + m77 + m82 + m83 + m86 - m89 + m92 + m93 + m95 + m103 - m104 - m107 + m108 - m111 - m113 + m120 - m121 + m123 - m125 + m126 + m130 - m131 + m133 + m139 + m143 + m147 - m152 - m155 - m158 + m160 - m164 - m165 + m168 - m170 - m172 - m174 + m177 + m184 - m185 - m198 + m199 + m200 + m201 + m204 + m206",
"c44 = m37 + m47 + m61 + m64 - m72 + m89 + m95 + m110 + m120 + m123 + m130 - m131 + m134 + m160 + m176 + m195 + m196 - m198 + m202 + m204",
"c45 = -m39 - m45 - m54 + m61 - m63 + m65 + m70 - m71 + m73 + m77 + m92 - m104 - m111 - m121 + m123 - m125 - m134 - m155 - m158 + m160 - m164 - m165 - m170 - m172 - m174 - m185 + m195 + m201",
"c46 = m37 + m47 + m61 - m77 + m89 + m104 + m106 + m120 + m123 + m130 + m156 + m160 + m170 + m176 + m195 + m196 + m202",
"c47 = m37 + m47 + m54 + m89 - m92 + m99 + m134 + m166 + m174 + m176 + m196 + m202",
"c48 = m36 + m39 + m45 + m54 + m63 + m67 + m71 - m77 - m92 + m104 + m111 - m112 + m121 + m125 - m127 + m134 - m137 - m146 + m149 - m154 + m155 + m158 + m161 + m163 + m164 + m165 + m170 + m172 + m173 + m174 + m185 + m186 + m188",
"c49 = m36 + m61 + m65 + m67 - m127 - m146 + m149 - m154 + m161 + m163 + m201",
"c410 = m36 + m42 + m54 - m56 + m67 + m74 - m77 - m92 + m94 + m98 + m102 + m104 - m112 - m114 + m121 - m127 + m132 + m134 + m135 - m137 + m145 - m146 + m149 + m150 - m154 + m161 + m163 + m171 + m173 + m174 + m186 + m188",
"c411 = m36 + m40 + m41 + m62 + m67 + m84 + m120 + m130 + m133 + m134 + m143 + m147 + m157 + m163 + m175 + m178 + m184 + m186 + m204 + m206",
"c412 = m36 + m41 + m67 + m84 + m104 + m117 + m133 + m134 + m157 + m163 + m170 + m178 + m184 + m186 + m204",
"c413 = m41 + m84 + m90 + m105 + m128 - m130 + m133 + m136 + m157 + m178 + m184 + m189",
"c414 = m76 + m104 + m112 + m127 + m130 + m134 + m154 + m170"
],
"u": [
["1/2", "1/2", "1/2", "-1/2", 0, "1/2", "1/2", "-1/2", "1/2", 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, -1],
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[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 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, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, -1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 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, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
],
"invariant_f": "16x^4y^2z^2 + 16x^2y^4z^2 + 16x^2y^2z^4 + 2x^3y^2z^2 + 2x^2y^3z^2 + 2x^2y^2z^3 + 16x^4yz + x^3y^2z + x^2y^3z + 16xy^4z + x^3yz^2 + 390x^2y^2z^2 + xy^3z^2 + x^2yz^3 + xy^2z^3 + 16xyz^4 + 16x^3yz + 14x^2y^2z + 16xy^3z + 14x^2yz^2 + 14xy^2z^2 + 16xyz^3 + 138x^2yz + 138xy^2z + 138xyz^2 + 234xyz",
"invariant_g": "w^336 + w^324 + w^323",
"type": "8X^4Y^2Z^2 + X^2Y^3Z^2 + 8X^4YZ + 65X^2Y^2Z^2 + XY^3Z^2 + 6XY^3Z + 7XY^2Z^2 + 2XYZ^3 + 3X^2YZ + 34XY^2Z + 32XYZ^2 + 39XYZ"
}