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693 lines (693 loc) · 76.6 KB
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{
"n": [3, 5, 14],
"m": 158,
"z2": false,
"complexity": 1040,
"multiplications": [
"m1 = (a12 - a13 + a15) * (b54)",
"m2 = (a23 - a24) * (b35)",
"m3 = (a11 - a12 + a13) * (b16)",
"m4 = (a14 - a15 - a35) * (b42 + b55)",
"m5 = (a11 + a14 - a21) * (b15 + b43)",
"m6 = (a13 + a21) * (b17 + b27 + b31 + b33 - b57)",
"m7 = (a34) * (b43)",
"m8 = (a12 - a35) * (b11 + b22 + b27 - b31 - b51)",
"m9 = (a12 - a13 + a15 - a22 + a23 - a25) * (b27 - b36)",
"m10 = (a22 + a33) * (b24 + b36)",
"m11 = (a12 + a15 + a21) * (b11 - b31 + b53)",
"m12 = (a22 + a32 + a35) * (b12 + b22 - b52 - b54 + b55 + b56)",
"m13 = (a22 + a32 + a34) * (b25 + b46)",
"m14 = (a11 + a13 - a35) * (b12 - b27 + b57)",
"m15 = (a11 + a14) * (b15)",
"m16 = (a12 - a13 + a15 - a25) * (b16 - b36 - b54)",
"m17 = (a11 + a31) * (b12 + b14 + b17 - b32 - b34 - b35 - b37 - b44 - b54)",
"m18 = (a12 + a32 + a34) * (b25 + b41)",
"m19 = (a21 - a22 + a23 + a31 - a32 + a33) * (b12 + b23 - b53)",
"m20 = (a11 + a13) * (b17 + b27 - b57)",
"m21 = (a13 - a14 - a23 + a24) * (b47)",
"m22 = (a21) * (b13 + b15 - b33 - b53)",
"m23 = (a12) * (b21 + b23 + b25 - b51 - b53)",
"m24 = (a22 + a32) * (b12 + b22 + b24 - b26 + b46 - b52 - b54 + b55 + b56)",
"m25 = (a31 + a35) * (b23 - b53)",
"m26 = (a35) * (b12 + b22 - b52 + b55)",
"m27 = (a14 - a15 + a25) * (b46 - b55)",
"m28 = (a12 - a31 - a35) * (b11 - b23 + b53)",
"m29 = (a11 + a15 + a31 + a35) * (b11 - b31 - b54)",
"m30 = (a11 + a14 + a31) * (b15 + b44)",
"m31 = (a13 - a23 + a24) * (b35 - b47)",
"m32 = (a14 - a15) * (b55)",
"m33 = (a21 - a22 + a23) * (b27)",
"m34 = (a13 - a23) * (b27 + b31 + b33 + b37 + b47)",
"m35 = (a13 + a21 + a25) * (b12 - b32 + b57)",
"m36 = (a31) * (b14 + b15 - b16)",
"m37 = (a11 + a13 + a31 + a33) * (b24 + b32 + b34 + b35 + b37)",
"m38 = (a23 + a33) * (b13 + b14 + b15 - b16 - b33 - b34 + b36 - b44 - b53)",
"m39 = (a32 + a34) * (b25)",
"m40 = (a21 + a23) * (b31 + b33)",
"m41 = (a21 + a23 + a33) * (b13 + b14 + b15 - b16 - b33 - b53)",
"m42 = (a12 + a14 + a32 + a34) * (b41)",
"m43 = (a14) * (b15 - b41 - b45 - b47 - b55)",
"m44 = (a24) * (b42)",
"m45 = (a34) * (b25 + b42 - b44 - b45)",
"m46 = (a13) * (b12 + b17 - b32 - b35 - b37)",
"m47 = (a32 - a33 + a35) * (b31)",
"m48 = (a11 - a12 + a13 + a31) * (b16 + b24 - b54)",
"m49 = (a22) * (b25 + b26 + b36)",
"m50 = (a34) * (b47)",
"m51 = (a11 - a12 + a13 + a31 - a32 + a33) * (b24 + b31)",
"m52 = (a24) * (b41)",
"m53 = (a24) * (b35 + b43 + b45 + b46)",
"m54 = (a21 - a22 + a23 - a32 - a35) * (b27 - b32)",
"m55 = (a11 + a15 - a21 - a25) * (b16 - b27 + b57)",
"m56 = (a15 - a25) * (b16 + b21 + b23 + b25 + b26 - b46 - b51 - b53 - b56)",
"m57 = (a12 + a15 - a25) * (b21 + b23 + b25 + b26 + b36 - b51 - b53)",
"m58 = (a32 + a35) * (b22 + b27)",
"m59 = (a21 + a23 - a32 + a33 - a35) * (b23 - b31)",
"m60 = (a22 + a25 + a32 + a35) * (b12 - b32 - b52 - b54 + b55 + b56)",
"m61 = (a11 + a14 - a21 - a24) * (b43)",
"m62 = (a15 + a35) * (b11 - b31 + b42 - b51 + b52 + b57)",
"m63 = (a12 + a32) * (b21 - b22 - b27 + b31 - b41)",
"m64 = (a25) * (b54 - b55 - b56)",
"m65 = (a11 + a13 + a31) * (b12 + b17 - b24 - b32 - b34 - b35 - b37)",
"m66 = (a22 - a23 + a25 + a32 - a33 + a35) * (b12 - b32 - b53)",
"m67 = (a33) * (b24 + b34 + b35)",
"m68 = (a21 + a23 + a31 + a33) * (b13 + b14 + b15 - b16 + b23 - b53)",
"m69 = (a14 - a15 + a34 - a35) * (b42)",
"m70 = (a14 - a15 - a22 - a24 + a25 - a32 - a34) * (b46)",
"m71 = (a11 + a14 - a23 + a24 + a31 - a33 + a34) * (b44)",
"m72 = (a12 - a13 + a15 - a21 - a25) * (b16 - b27)",
"m73 = (a21 + a25) * (b12 - b32)",
"m74 = (a21 - a22 + a23 - a32 + a33 - a35) * (b12 + b23 - b32 - b53)",
"m75 = (a11 - a12 + a13 + a31 + a35) * (b31 + b54)",
"m76 = (a23 - a24 + a33) * (b35 - b44)",
"m77 = (a12 + a15) * (b11 - b31 - b51)",
"m78 = (a12 + a15 - a22 - a25) * (b21 + b23 + b25 + b26 + b36)",
"m79 = (a11 - a21) * (b11 + b13 + b17 + b27 - b43 - b57)",
"m80 = (a12 - a13 + a15) * (b511)",
"m81 = (a23 - a24) * (b312)",
"m82 = (a11 - a12 + a13) * (b113)",
"m83 = (a14 - a15 - a35) * (b49 + b512)",
"m84 = (a11 + a14 - a21) * (b112 + b410)",
"m85 = (a13 + a21) * (b114 + b214 + b38 + b310 - b514)",
"m86 = (a34) * (b410)",
"m87 = (a12 - a35) * (b18 + b29 + b214 - b38 - b58)",
"m88 = (a12 - a13 + a15 - a22 + a23 - a25) * (b214 - b313)",
"m89 = (a22 + a33) * (b211 + b313)",
"m90 = (a12 + a15 + a21) * (b18 - b38 + b510)",
"m91 = (a22 + a32 + a35) * (b19 + b29 - b59 - b511 + b512 + b513)",
"m92 = (a22 + a32 + a34) * (b212 + b413)",
"m93 = (a11 + a13 - a35) * (b19 - b214 + b514)",
"m94 = (a11 + a14) * (b112)",
"m95 = (a12 - a13 + a15 - a25) * (b113 - b313 - b511)",
"m96 = (a11 + a31) * (b19 + b111 + b114 - b39 - b311 - b312 - b314 - b411 - b511)",
"m97 = (a12 + a32 + a34) * (b212 + b48)",
"m98 = (a21 - a22 + a23 + a31 - a32 + a33) * (b19 + b210 - b510)",
"m99 = (a11 + a13) * (b114 + b214 - b514)",
"m100 = (a13 - a14 - a23 + a24) * (b414)",
"m101 = (a21) * (b110 + b112 - b310 - b510)",
"m102 = (a12) * (b28 + b210 + b212 - b58 - b510)",
"m103 = (a22 + a32) * (b19 + b29 + b211 - b213 + b413 - b59 - b511 + b512 + b513)",
"m104 = (a31 + a35) * (b210 - b510)",
"m105 = (a35) * (b19 + b29 - b59 + b512)",
"m106 = (a14 - a15 + a25) * (b413 - b512)",
"m107 = (a12 - a31 - a35) * (b18 - b210 + b510)",
"m108 = (a11 + a15 + a31 + a35) * (b18 - b38 - b511)",
"m109 = (a11 + a14 + a31) * (b112 + b411)",
"m110 = (a13 - a23 + a24) * (b312 - b414)",
"m111 = (a14 - a15) * (b512)",
"m112 = (a21 - a22 + a23) * (b214)",
"m113 = (a13 - a23) * (b214 + b38 + b310 + b314 + b414)",
"m114 = (a13 + a21 + a25) * (b19 - b39 + b514)",
"m115 = (a31) * (b111 + b112 - b113)",
"m116 = (a11 + a13 + a31 + a33) * (b211 + b39 + b311 + b312 + b314)",
"m117 = (a23 + a33) * (b110 + b111 + b112 - b113 - b310 - b311 + b313 - b411 - b510)",
"m118 = (a32 + a34) * (b212)",
"m119 = (a21 + a23) * (b38 + b310)",
"m120 = (a21 + a23 + a33) * (b110 + b111 + b112 - b113 - b310 - b510)",
"m121 = (a12 + a14 + a32 + a34) * (b48)",
"m122 = (a14) * (b112 - b48 - b412 - b414 - b512)",
"m123 = (a24) * (b49)",
"m124 = (a34) * (b212 + b49 - b411 - b412)",
"m125 = (a13) * (b19 + b114 - b39 - b312 - b314)",
"m126 = (a32 - a33 + a35) * (b38)",
"m127 = (a11 - a12 + a13 + a31) * (b113 + b211 - b511)",
"m128 = (a22) * (b212 + b213 + b313)",
"m129 = (a34) * (b414)",
"m130 = (a11 - a12 + a13 + a31 - a32 + a33) * (b211 + b38)",
"m131 = (a24) * (b48)",
"m132 = (a24) * (b312 + b410 + b412 + b413)",
"m133 = (a21 - a22 + a23 - a32 - a35) * (b214 - b39)",
"m134 = (a11 + a15 - a21 - a25) * (b113 - b214 + b514)",
"m135 = (a15 - a25) * (b113 + b28 + b210 + b212 + b213 - b413 - b58 - b510 - b513)",
"m136 = (a12 + a15 - a25) * (b28 + b210 + b212 + b213 + b313 - b58 - b510)",
"m137 = (a32 + a35) * (b29 + b214)",
"m138 = (a21 + a23 - a32 + a33 - a35) * (b210 - b38)",
"m139 = (a22 + a25 + a32 + a35) * (b19 - b39 - b59 - b511 + b512 + b513)",
"m140 = (a11 + a14 - a21 - a24) * (b410)",
"m141 = (a15 + a35) * (b18 - b38 + b49 - b58 + b59 + b514)",
"m142 = (a12 + a32) * (b28 - b29 - b214 + b38 - b48)",
"m143 = (a25) * (b511 - b512 - b513)",
"m144 = (a11 + a13 + a31) * (b19 + b114 - b211 - b39 - b311 - b312 - b314)",
"m145 = (a22 - a23 + a25 + a32 - a33 + a35) * (b19 - b39 - b510)",
"m146 = (a33) * (b211 + b311 + b312)",
"m147 = (a21 + a23 + a31 + a33) * (b110 + b111 + b112 - b113 + b210 - b510)",
"m148 = (a14 - a15 + a34 - a35) * (b49)",
"m149 = (a14 - a15 - a22 - a24 + a25 - a32 - a34) * (b413)",
"m150 = (a11 + a14 - a23 + a24 + a31 - a33 + a34) * (b411)",
"m151 = (a12 - a13 + a15 - a21 - a25) * (b113 - b214)",
"m152 = (a21 + a25) * (b19 - b39)",
"m153 = (a21 - a22 + a23 - a32 + a33 - a35) * (b19 + b210 - b39 - b510)",
"m154 = (a11 - a12 + a13 + a31 + a35) * (b38 + b511)",
"m155 = (a23 - a24 + a33) * (b312 - b411)",
"m156 = (a12 + a15) * (b18 - b38 - b58)",
"m157 = (a12 + a15 - a22 - a25) * (b28 + b210 + b212 + b213 + b313)",
"m158 = (a11 - a21) * (b18 + b110 + b114 + b214 - b410 - b514)"
],
"elements": [
"c11 = m1 - m18 + m23 - m25 + m28 + m29 + m39 + m42 + m75 - m77",
"c12 = m3 + m4 + m8 + m14 + m26 - m32 - m35 - m55 + m62 + m72 + m73 - m77",
"c13 = -m1 + m5 + m6 + m11 - m15 - m20 + m22 + m25 - m28 - m29 - m75 + m79",
"c14 = m1 + m3 - m15 + m17 + m30 - m36 + m46 - m48 - m65",
"c15 = m2 + m15 + m18 + m21 + m31 - m32 - m39 - m42 - m43",
"c16 = m1 + m3 + m16 - m23 + m27 + m32 - m56 + m57 - m64",
"c17 = -m2 - m3 + m20 - m21 - m31 + m35 - m46 + m55 - m72 - m73",
"c18 = m80 - m97 + m102 - m104 + m107 + m108 + m118 + m121 + m154 - m156",
"c19 = m82 + m83 + m87 + m93 + m105 - m111 - m114 - m134 + m141 + m151 + m152 - m156",
"c110 = -m80 + m84 + m85 + m90 - m94 - m99 + m101 + m104 - m107 - m108 - m154 + m158",
"c111 = m80 + m82 - m94 + m96 + m109 - m115 + m125 - m127 - m144",
"c112 = m81 + m94 + m97 + m100 + m110 - m111 - m118 - m121 - m122",
"c113 = m80 + m82 + m95 - m102 + m106 + m111 - m135 + m136 - m143",
"c114 = -m81 - m82 + m99 - m100 - m110 + m114 - m125 + m134 - m151 - m152",
"c21 = m11 + m47 - m49 + m52 + m57 - m59 + m66 - m73 + m74 - m77 - m78",
"c22 = m12 + m33 + m44 - m54 - m58 - m60 - m64 + m73",
"c23 = m5 - m15 + m22 + m40 - m47 + m59 - m61 - m66 + m73 - m74",
"c24 = m1 - m2 - m9 + m10 + m16 - m22 + m33 - m38 + m41 - m67 - m72 + m76",
"c25 = m2 - m5 + m13 + m15 - m27 - m32 - m39 + m53 + m61 + m70",
"c26 = m1 - m9 - m13 + m16 + m27 + m32 + m33 + m39 + m49 - m64 - m70 - m72",
"c27 = -m2 + m6 - m31 - m33 - m34 + m35 - m40 - m46 - m73",
"c28 = m90 + m126 - m128 + m131 + m136 - m138 + m145 - m152 + m153 - m156 - m157",
"c29 = m91 + m112 + m123 - m133 - m137 - m139 - m143 + m152",
"c210 = m84 - m94 + m101 + m119 - m126 + m138 - m140 - m145 + m152 - m153",
"c211 = m80 - m81 - m88 + m89 + m95 - m101 + m112 - m117 + m120 - m146 - m151 + m155",
"c212 = m81 - m84 + m92 + m94 - m106 - m111 - m118 + m132 + m140 + m149",
"c213 = m80 - m88 - m92 + m95 + m106 + m111 + m112 + m118 + m128 - m143 - m149 - m151",
"c214 = -m81 + m85 - m110 - m112 - m113 + m114 - m119 - m125 - m152",
"c31 = m8 + m18 - m23 + m25 - m28 - m39 - m47 + m58 + m63",
"c32 = -m4 + m19 - m25 - m26 + m32 - m33 + m54 + m58 + m69 - m74",
"c33 = m7 - m25 - m36 - m40 - m41 + m47 - m59 + m68",
"c34 = m2 - m3 + m15 - m30 + m36 - m47 + m48 - m51 + m67 + m71 + m75 - m76",
"c35 = -m2 - m4 - m15 + m30 + m32 + m39 - m45 + m69 - m71 + m76",
"c36 = -m3 + m10 + m12 + m13 - m24 - m26 - m39 - m47 + m48 - m49 - m51 + m75",
"c37 = -m14 - m19 - m20 + m25 + m33 + m37 + m50 - m54 + m65 - m67 + m74",
"c38 = m87 + m97 - m102 + m104 - m107 - m118 - m126 + m137 + m142",
"c39 = -m83 + m98 - m104 - m105 + m111 - m112 + m133 + m137 + m148 - m153",
"c310 = m86 - m104 - m115 - m119 - m120 + m126 - m138 + m147",
"c311 = m81 - m82 + m94 - m109 + m115 - m126 + m127 - m130 + m146 + m150 + m154 - m155",
"c312 = -m81 - m83 - m94 + m109 + m111 + m118 - m124 + m148 - m150 + m155",
"c313 = -m82 + m89 + m91 + m92 - m103 - m105 - m118 - m126 + m127 - m128 - m130 + m154",
"c314 = -m93 - m98 - m99 + m104 + m112 + m116 + m129 - m133 + m144 - m146 + m153"
],
"u": [
[0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
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],
"invariant_f": "8x^3y^2z^2 + 8x^2y^3z^2 + 8x^2y^2z^3 + 8x^4yz + 8xy^4z + 288x^2y^2z^2 + 8xyz^4 + 40x^3yz + 24x^2y^2z + 40xy^3z + 24x^2yz^2 + 24xy^2z^2 + 40xyz^3 + 108x^2yz + 108xy^2z + 108xyz^2 + 96xyz",
"invariant_g": "w^284 + w^262 + w^218",
"type": "4X^2Y^3Z^2 + 4XY^4Z + 48X^2Y^2Z^2 + 4X^3YZ + 8XY^3Z + 12XY^2Z^2 + 8XYZ^3 + 30XY^2Z + 24XYZ^2 + 16XYZ"
}