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456 lines (456 loc) · 39.8 KB
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{
"n": [3, 4, 11],
"m": 101,
"z2": false,
"complexity": 977,
"multiplications": [
"m1 = (a34) * (b12 + b32 - b42 + b43 - b44)",
"m2 = (a33) * (b14 - b33 + b34)",
"m3 = (a32) * (b13 + b22 - b23 + b24)",
"m4 = (a31 + a34) * (b12)",
"m5 = (a31 - a33) * (b14)",
"m6 = (a31 + a32) * (b13)",
"m7 = (a14) * (b32 - b42 + b45)",
"m8 = (a13) * (b34 - b35 - b44)",
"m9 = (a13 + a14) * (b32)",
"m10 = (a33 + a34) * (b32)",
"m11 = (a12) * (b22 + b24 - b25)",
"m12 = (a11) * (b12 + b14 - b15)",
"m13 = (a11 - a31) * (b13 + b15 + b22 - b23 + b24 - b25 + b35 - b45)",
"m14 = (a11 - a31 - a34) * (b12 - b45)",
"m15 = (a11 - a31 + a33) * (b14 + b35)",
"m16 = (a11 - a31 - a32) * (b13 + b22 - b23 + b24 - b25)",
"m17 = (a24) * (b22 + b41 - b42)",
"m18 = (a23) * (b24 - b31 + b32 + b34 - b44)",
"m19 = (a23 + a24) * (b44)",
"m20 = (a13 + a14) * (b44)",
"m21 = (a13 + a14 - a23 - a24 + a33 + a34) * (b41)",
"m22 = (a13 + a14 + a23 + a24 - a33 - a34) * (b33)",
"m23 = (a22 - a32) * (b21 + b23 + b33 - b43)",
"m24 = (a12 + a22) * (b11 - b12 - b14 + b15 - b21 - b25 - b35 + b45)",
"m25 = (a22 + a24) * (b22)",
"m26 = (a22 + a24 - a32) * (b22 - b43 + b44)",
"m27 = (a22 + a24 - a32 - a34) * (b43 - b44)",
"m28 = (a14 + a22 + a24 - a32 - a34) * (b33 - b43)",
"m29 = (a13 + a14 + a22 + a24 - a32 - a34) * (b33 - b44)",
"m30 = (a12 + a22 + a24) * (b22 - b45)",
"m31 = (a11 + a12 + a14 + a22 + a24 - a31 - a34) * (b45)",
"m32 = (a11 + a12 - a31 - a32) * (b22 - b23 + b24 - b25)",
"m33 = (a22 - a23) * (b24)",
"m34 = (a22 - a23 - a32) * (b24 + b33 - b44)",
"m35 = (a12 + a22 - a23) * (b24 + b35)",
"m36 = (a11 + a12 - a13 + a22 - a23 - a31 + a33) * (b35)",
"m37 = (a21) * (b11 - b12 - b14 - b21)",
"m38 = (a21 + a32) * (b13 + b21)",
"m39 = (a21 - a31) * (b11 + b13 + b31 - b41)",
"m40 = (a21 - a31 - a34) * (b12 + b32 - b41)",
"m41 = (a21 - a31 + a33) * (b14 + b31 - b32)",
"m42 = (a21 - a23 - a31 + a33) * (b31 - b32)",
"m43 = (a13 + a21 - a23 - a31 + a33) * (b31 - b41)",
"m44 = (a13 + a14 + a21 - a23 - a31 + a33) * (b32 - b41)",
"m45 = (a21 + a22) * (b21)",
"m46 = (a12 + a21 + a22) * (b11 - b12 - b14 + b15 - b21)",
"m47 = (a11 + a12 + a21 + a22) * (b11 - b12 - b14 + b15)",
"m48 = (a14 - a34) * (b36 + b46)",
"m49 = (a12 - a13 - a22 + a23) * (b26 - b28 - b29 + b210 - b37 + b311)",
"m50 = (a13 - a14 - a21 + a23 - a33 + a34) * (b19 - b111 - b48)",
"m51 = (a13 - a14 - a33 + a34) * (b39)",
"m52 = (a12 - a13 + a14 - a21 + a22 - a32 + a33 - a34) * (b26 - b28 - b29 + b210 + b36)",
"m53 = (a12 + a22 - a32) * (b16 - b18 + b26 - b28 + b36 - b38 - b48)",
"m54 = (a11 - a21 + a22 - a32) * (b19 + b27 + b29 - b211 + b37 + b39 - b311 + b49)",
"m55 = (a14 + a22 - a23 - a32 + a33 - a34) * (b26 - b28 - b29 + b210 + b47 - b411)",
"m56 = (a22 - a23 - a32 + a33 - a34) * (b17 - b18 - b111 + b37 - b38 + b47 - b48 - b411)",
"m57 = (a22 - a24 - a32) * (b19 - b111 + b29 - b211 + b39 - b311 + b49)",
"m58 = (a22 - a23 - a32 + a33) * (b17 - b18 - b111 + b37 - b38 - b311 + b47 - b48 - b411)",
"m59 = (a12 - a13 + a22 - a23 - a32 + a33) * (b19 - b111 + b36 + b39 - b311 + b46 + b49 - b411)",
"m60 = (a21 - a23 + a33 - a34) * (b27 - b28 - b211 + b37 + b39 - b310 - b311 + b48 + b49 - b410)",
"m61 = (a11 - a14 - a21 + a24) * (b16 - b18 - b19 + b110 + b26 - b28 - b29 + b210 + b36 - b38 - b39 + b310 - b49)",
"m62 = (a12 - a21 + a22 - a32) * (b16 - b18 + b26 + b36 - b38 - b48)",
"m63 = (a21 + a22 - a23 - a32 + a33 - a34) * (b17 - b18 - b111 + b27 - b28 - b211 + b37 - b38 - b311 - b48)",
"m64 = (a12 - a21 + a23 - a32) * (b27 - b28 - b211 + b37 - b311)",
"m65 = (a14 - a24) * (b16 - b18 - b19 + b110 + b26 - b28 - b29 + b210 + b36 - b38 - b39 + b310 + b46 + b47 - b48 - b49 + b410 - b411)",
"m66 = (a22 - a23) * (b311)",
"m67 = (a21 - a23 - a31 + a33) * (b38 + b39 - b310 + b48 + b49 - b410)",
"m68 = (a11 - a31) * (b18 + b38 + b48)",
"m69 = (a32 - a33 + a34) * (b27 - b28 - b211 - b311)",
"m70 = (a21 - a23) * (b27 - b28 - b211 + b37 - b38 - b311)",
"m71 = (a12 - a32) * (b27 - b211 + b37 - b311)",
"m72 = (a21 - a22) * (b28 + b29 - b210)",
"m73 = (a11 - a13 - a21 + a23) * (b26 - b28 - b29 + b210 + b36 - b38 + b310)",
"m74 = (a24) * (b19 - b111 + b29 - b211 + b39 - b311 + b49 - b411)",
"m75 = (a11 - a12 + a21 - a22 - a31 + a32) * (b16 - b18 - b38 - b48)",
"m76 = (a11 - a21) * (b17 + b19 - b111 + b27 + b29 - b211 + b37 + b39 - b311 + b49)",
"m77 = (a21 - a22 + a32) * (b111 + b28 + b29 - b210)",
"m78 = (a21 - a24) * (b48)",
"m79 = (a31 - a34) * (b17 - b18 - b111 - b38 - b39 + b310 - b48 - b49 + b410)",
"m80 = (a12 - a13 + a14 + a22 - a23 + a24 - a32 + a33 - a34) * (b19 - b111 + b29 - b211 + b39 - b311 + b46 + b49 - b411)",
"m81 = (a21) * (b16 + b26 + b36)",
"m82 = (a11 - a14 - a31 + a34) * (b19 - b111)",
"m83 = (a22 - a23 + a24 - a32 + a33 - a34) * (b47 - b411)",
"m84 = (a11 - a14 - a21 + a22 - a32 + a34) * (b19 - b111 + b39 + b49)",
"m85 = (a11 - a12 - a21 + a22) * (b27 + b29 - b211 + b37 - b311)",
"m86 = (a11 - a14 - a21 + a23 - a33 + a34) * (b16 - b18 - b19 + b110 + b26 - b28 - b29 + b210 + b36 - b38 + b310)",
"m87 = (a31) * (b18 + b19 - b110 - b111 + b38 + b39 - b310 + b48 + b49 - b410)",
"m88 = (a21 - a23 + a24 + a33 - a34) * (b16 - b18 - b19 + b110 + b26 - b28 - b29 + b210 + b36 - b38 - b39 + b310 - b48 - b49 + b410)",
"m89 = (a11 + a22 - a23 - a31 - a32 + a33) * (b17 - b18 - b111 - b38 - b48)",
"m90 = (a12 - a13 + a14 - a32 + a33 - a34) * (b26 - b28 - b29 + b210)",
"m91 = (a23 - a24 - a33 + a34) * (b16 - b18 - b19 + b110 + b26 - b28 - b29 + b210 + b36 - b38 - b39 + b310)",
"m92 = (a12 - a13 + a14 + a22 - a23 - a32 + a33 - a34) * (b19 - b111 + b29 - b211 + b36 + b39 - b311 + b46 + b49 - b411)",
"m93 = (a34) * (b17 - b18 - b111 + b37 - b38 + b47 - b48)",
"m94 = (a11 - a13 + a21 - a23 - a31 + a33) * (b19 - b111 - b38 - b48)",
"m95 = (a13 - a14 - a22 + a23 - a33 + a34) * (b29 - b211 - b311)",
"m96 = (a21 - a22 - a31 + a32) * (b111)",
"m97 = (a22 - a32) * (b19 + b29 + b39 + b49)",
"m98 = (a14 + a21 - a23 - a31 + a33 - a34) * (b16 - b18 - b19 + b110 - b38 - b39 + b310 - b48 - b49 + b410)",
"m99 = (a32) * (b28 + b29 - b210 - b211 - b311)",
"m100 = (a13 - a14 + a23 - a24 - a33 + a34) * (b19 - b111 + b29 - b211 + b39 - b311 - b48)",
"m101 = (a33 - a34) * (b27 - b28 - b211 + b37 + b39 - b310 - b311)"
],
"elements": [
"c11 = m9 + m12 - m42 + m43 - m44 - m45 - m46 + m47",
"c12 = m4 - m7 + m9 + m14 - m25 + m30 + m31",
"c13 = m6 + m11 + m16 + m20 - m27 - m28 + m29 - m32",
"c14 = m5 + m8 + m15 + m20 - m33 + m35 - m36",
"c15 = m4 + m5 - m11 - m12 + m14 + m15 - m25 + m30 + m31 - m33 + m35 - m36",
"c16 = -m55 + m62 + m65 + m68 - m74 + m75 + m77 + m80 + m83 + m87 + m88 - m92 - m96 - m98",
"c17 = m48 + m49 - m53 + m55 - m58 + m59 + m62 + m63 + m64 + m66 + m69 - m71 - m72 + m76 + m77 + m81 - m84 - m85 - m90 - m92 + m93 - m95 + m97 - m99",
"c18 = m50 - m53 - m54 - m60 + m62 + m63 + m67 + m76 - m79 + m81 - m82 - m89 + m94 + m97",
"c19 = -m50 + m54 - m57 + m61 - m71 - m72 + m77 + m78 - m85 - m86 + m91 - m95 - m99 + m100",
"c110 = -m51 + m52 - m53 - m57 + m61 + m63 + m67 - m68 - m70 - m71 - m72 - m73 - m75 + m76 + m78 - m79 + m81 - m82 - m85 - m87 - m89 + m91 + m94 - m95 + m96 + m97 + m98 - m99 + m100 - m101",
"c111 = m48 + m54 + m56 - m58 + m59 - m71 - m72 + m77 - m84 - m85 - m92 + m93 - m95 - m99",
"c21 = m4 + m5 + m9 + m10 - m21 + m37 + m40 + m41 - m42 - m44 + m45",
"c22 = m4 + m9 + m10 - m17 - m21 + m25 + m40 - m44",
"c23 = -m3 + m19 + m23 + m25 - m26 + m33 - m34 + m38 - m45",
"c24 = m5 + m18 + m19 + m33 + m41 - m42",
"c25 = m11 - m24 + m25 - m30 + m33 - m35 - m37 + m46",
"c26 = m52 - m72 - m74 + m80 + m81 - m90 - m92",
"c27 = -m53 - m56 - m57 + m62 + m63 + m64 + m69 - m71 - m72 - m74 + m77 + m81 + m83 + m97 - m99",
"c28 = -m53 + m62 + m64 + m70 - m71 - m78 + m81",
"c29 = -m50 - m51 - m57 - m72 + m77 + m78 - m95 + m97 - m99 + m100",
"c210 = -m50 - m51 - m53 - m57 + m60 + m62 + m64 - m71 + m77 + m88 + m91 - m95 + m97 - m99 + m100 - m101",
"c211 = -m57 - m66 - m72 - m74 + m77 + m97 - m99",
"c31 = m4 + m5 - m6 + m10 + m37 + m38 - m39 + m40 + m41",
"c32 = -m1 + m4 + m10 + m25 - m26 - m27",
"c33 = -m3 + m6 + m19 + m20 - m22 + m25 - m26 - m27 + m29 + m33 - m34",
"c34 = m2 + m5 + m19 + m20 - m22 + m29 + m33 - m34",
"c35 = m3 + m4 + m5 - m12 - m13 + m14 + m15 + m16",
"c36 = -m48 + m52 - m55 + m65 - m72 - m74 + m77 + m80 + m83 + m87 + m88 - m90 - m92 - m96 - m98",
"c37 = -m53 - m54 + m62 + m63 + m64 - m68 + m69 - m71 - m72 + m76 + m77 + m81 - m89 + m93 - m96 + m97 - m99",
"c38 = -m53 - m54 - m60 + m62 + m63 + m64 + m67 - m68 + m70 - m71 + m76 - m79 + m81 - m89 + m97",
"c39 = -m50 - m51 - m57 + m61 - m72 + m77 + m78 - m82 + m84 - m86 + m91 - m95 - m96 - m99 + m100",
"c310 = -m50 - m51 - m53 - m54 - m57 + m61 + m62 + m63 + m64 - m68 - m71 + m76 + m78 - m79 + m81 - m82 + m84 - m86 - m87 - m89 + m91 - m95 + m97 - m99 + m100 - m101",
"c311 = m56 - m58 - m66 - m72 + m77 + m93 - m96 - m99"
],
"u": [
[0, 0, 0, 0, 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, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 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, 1, 1, 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],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1],
[1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0],
[1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0],
[0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 1, 1],
[0, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, -1],
[0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0],
[0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, -1],
[0, 0, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1],
[0, 0, 1, 1, 0, 1, 0, 1, 0, -1, 0, -1],
[0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0],
[1, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0, -1],
[1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0],
[0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 0, 0],
[0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0],
[1, 1, -1, 0, 0, 1, -1, 0, -1, 0, 1, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, -1],
[0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0],
[0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 1, 0],
[0, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0],
[0, 0, 1, 1, 1, 0, -1, 0, -1, 0, 1, 0],
[0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 1, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0],
[0, 0, 1, -1, -1, 0, 1, 0, 0, 0, -1, 1],
[0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -1, 1],
[0, 1, -1, 1, -1, 1, 0, 0, 0, -1, 1, -1],
[0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0],
[1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 1, 0, 1, -1, 0, 0, -1, 1, -1],
[0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, -1],
[0, 0, 0, 0, 0, 1, 0, -1, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 1, -1, 0, 0, -1, 1, 0],
[0, 1, -1, 0, 0, 1, -1, 0, 0, -1, 1, 0],
[0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, -1],
[1, 0, 0, -1, -1, 0, 0, 1, 0, 0, 0, 0],
[0, 1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 1, -1],
[0, 1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0],
[0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1],
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],
"invariant_f": "186x^2y^2z^2 + 16x^3yz + 4x^2y^2z + 16xy^3z + 4x^2yz^2 + 4xy^2z^2 + 16xyz^3 + 104x^2yz + 104xy^2z + 104xyz^2 + 48xyz",
"invariant_g": "w^166 + w^164 + w^138",
"type": "31X^2Y^2Z^2 + 2X^3YZ + 2XY^3Z + 2XY^2Z^2 + 4XYZ^3 + 2X^2YZ + 26XY^2Z + 24XYZ^2 + 8XYZ"
}