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2x6x7_m66_ZT.json
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297 lines (297 loc) · 23.1 KB
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{
"n": [2, 6, 7],
"m": 66,
"z2": false,
"complexity": 797,
"multiplications": [
"m1 = (-a13 - a14) * (-b22 - b25 + b26 - b42 - b45 + b46)",
"m2 = (a11) * (-b13 + b14 + b23 - b24 + b43 - b44 - b53 + b54 - b63 + b64)",
"m3 = (a16) * (b22 + b25 - b26 + b52 + b55 - b56 + b62 + b65 - b66)",
"m4 = (a11 + a12 - a13 - a15 - a25 + a26) * (b27 + b51 - b52 + b53)",
"m5 = (a24) * (-b11 + b12 - b24 - b31 + b32 - b33 - b36 + b41 - b51 + b56 - b61 + b66)",
"m6 = (-a11 + a15) * (-b53 + b54)",
"m7 = (a21 + a22 - a24 - a25) * (b12 - b24 + b32 - b33 - b36 + b56 + b66)",
"m8 = (a11 + a21) * (b12 + b13 + b15 + b17 - b22 - b24 - b25 + b26 - b44 + b53 + b56 + b57 + b66 + b67)",
"m9 = (-a11 + a13 + a14 + a15 - a21 + a23 + a24 + a25) * (-b41 + b42 - b44 - b46 + b47)",
"m10 = (a21 + a22 - a23 - a26) * (-b11 + b12 + b17 - b24 + b27 - b44 + b53 + b57 - b61 + b66 + b67)",
"m11 = (a14 + a24) * (-b22 - b25 + b26 - b41 - b43 - b45 + b46)",
"m12 = (a11 + a12) * (-b23 - b33)",
"m13 = (a11 - a15 + a21 - a25) * (-b27 - b41 + b42 - b46 + b47 - b53 + b56 - b57 + b61 - b67)",
"m14 = (-a26) * (-b11 + b12 - b14 + b17 - b51 + b52 - b54 + b57 - b61 + b62 - b64 + b67)",
"m15 = (a23 + a25 - a26) * (-b11 + b12 + b17 - b24 + b27 - b31 + b32 - b33 - b36 + b37 + b41 - b42 + b46 - b47 + b53 + b57 - b61 + b66 + b67)",
"m16 = (a22) * (b12 - b16 - b22 + b26)",
"m17 = (a11 - a13 - a16 + a24) * (-b46 + b56 + b61)",
"m18 = (-a11 + a13 + a14 + a15) * (b11 - b17 - b21 + b44 - b53 - b57 + b61 - b67)",
"m19 = (-a11 - a26) * (b14 - b24 - b44 + b54 - b63 + b64)",
"m20 = (a11 - a13 - a16 - a23) * (-b33 + b34 - b36 + b56 + b66)",
"m21 = (-a11 + a22) * (b16 + b23 - b24 + b56 + b66)",
"m22 = (a11 + a12 - a14 - a15 + a21 + a22 - a24 - a25) * (-b22 - b25 + b26)",
"m23 = (a11 + a12 - a13 + a24 + a25) * (-b11 + b17 - b44 - b51 + b57 - b61 + b67)",
"m24 = (-a21 - a24) * (b17 - b44 + b53 + b57 + b67)",
"m25 = (a13 + a23) * (-b24 - b33 - b36 + b56 + b66)",
"m26 = (-a12 - a22) * (b23 - b24 + b26)",
"m27 = (a21 + a22 - a23 - a24 - a25) * (-b11 + b12 + b17 - b24 + b32 - b33 - b36 - b44 + b53 + b57 - b61 + b66 + b67)",
"m28 = (-a21 + a23 + a24 + a26) * (-b41 + b42 - b44 - b46 + b47 + b56 + b61)",
"m29 = (a23 + a24) * (-b11 + b12 + b17 - b24 - b31 + b32 - b33 - b36 - b44 + b53 + b56 + b57 + b66 + b67)",
"m30 = (-a11 - a12 + a13 - a26) * (b11 - b12 - b17 + b24 + b44 + b51 - b52 - b57 + b61 - b62 - b67)",
"m31 = (a11 + a12 - a13 - a15 + a21 + a22 - a23 - a25) * (b27)",
"m32 = (-a11 + a16) * (b33 - b34 + b36 - b56 - b63 + b64 - b66)",
"m33 = (-a15 + a16 - a25 + a26) * (-b22 - b25 + b26 - b52 - b55 + b56 - b61 + b67)",
"m34 = (a11 - a13 - a16 - a22) * (-b11 + b12 + b17 + b21 - b22 - b44 + b53 + b57 - b61 + b66 + b67)",
"m35 = (a13) * (-b12 - b22 + b24 - b25 + b26 + b33 + b35 - b42 - b45 + b46 - b52 - b55 - b66)",
"m36 = (a13 - a24) * (-b11 + b12 + b17 - b22 - b24 - b25 + b26 - b31 + b32 - b33 - b36 - b42 - b44 - b45 + b46 + b53 + b56 + b57 + b66 + b67)",
"m37 = (a11 + a12 - a13 - a23) * (-b24 - b33)",
"m38 = (a23) * (-b33 + b34)",
"m39 = (-a11 - a12 + a13 + a15 - a24) * (b42 - b46 - b51 - b53 + b56)",
"m40 = (a11 - a13 - a14 - a16) * (-b46 + b56)",
"m41 = (-a24 - a25) * (-b11 + b17 - b44 - b51 + b53 + b57 - b61 + b67)",
"m42 = (a14 + a15 + a24 + a25) * (b44)",
"m43 = (a16 + a26) * (-b63)",
"m44 = (a25 - a26) * (-b11 + b12 + b17 - b24 + b27 - b31 + b32 - b33 - b36 + b37 + b41 - b42 + b46 - b47 + b51 - b52 + b53 + b54 - b61 + b66 + b67)",
"m45 = (a11 - a15 - a25 + a26) * (-b27 - b41 + b42 - b44 - b46 + b47 - b53 + b54 + b56 - b57 + b61 - b67)",
"m46 = (-a13 - a21 - a22 + a24 + a25) * (b12 - b22 - b24 - b25 + b26 + b32 - b33 - b36 + b56 + b66)",
"m47 = (-a11 - a12 + a13) * (b12 - b24 - b33 + b52 + b62)",
"m48 = (a11 + a14) * (b43 - b44)",
"m49 = (-a11 + a13 + a14 + a15 + a22) * (b11 - b17 - b21 + b44 - b53 + b56 - b57 + b61 - b67)",
"m50 = (a26) * (b22 + b25 - b26 + b52 + b55 - b56 + b62 + b65 - b66)",
"m51 = (a13 - a25 + a26) * (-b11 + b12 + b17 + b22 - b24 + b25 - b26 + b27 - b31 + b32 - b33 - b36 + b37 + b41 - b42 + b46 - b47 + b52 + b53 + b55 - b56 + b57 - b61 + b66 + b67)",
"m52 = (-a11 + a13 + a16 - a21 + a23 + a26) * (-b61 + b66)",
"m53 = (-a11 + a13 + a14 + a15 + a25 - a26) * (-b41 + b42 - b44 - b46 + b47 + b56)",
"m54 = (-a11 - a12 + a13 + a14 + a15) * (-b11 + b17 + b21 - b22 - b25 + b26 - b42 - b44 + b46 + b53 - b56 + b57 - b61 + b67)",
"m55 = (a13 + a23) * (b27 + b32 + b35 - b36 + b37 + b41 - b42 + b44 + b46 - b47 - b56 - b61)",
"m56 = (a11 + a12 - a13 - a16) * (b11 - b12 - b17 - b21 + b22 + b44 - b53 - b57 + b61 - b62 - b67)",
"m57 = (-a11 - a21) * (b13 + b16 + b17 - b24 - b44 + b53 + b56 + b57 + b66 + b67)",
"m58 = (-a11 + a13 + a16) * (-b11 + b12 + b17 + b21 - b22 - b33 + b34 - b36 - b44 + b46 + b53 + b57 - b61 + b66 + b67)",
"m59 = (-a11 + a24) * (b17 + b43 - b44 + b57 + b67)",
"m60 = (-a21 + a26) * (b14 - b24 + b27 + b41 - b42 + b46 - b47 + b53 - b56 + b57 - b61 + b67)",
"m61 = (a11 - a15 - a24 - a25) * (b44 - b53)",
"m62 = (-a11 - a12 + a13 - a21 - a22 + a23) * (b24)",
"m63 = (-a21 - a22) * (-b16 - b56 - b66)",
"m64 = (a13 + a15 - a16) * (-b22 - b25 + b26 - b52 - b55 + b56)",
"m65 = (a11) * (b12 + b15 - b16 - b22 - b25 + b26)",
"m66 = (-a11 - a12 + a13 + a15) * (b42 - b46 - b52 + b56)"
],
"elements": [
"c11 = -m1 - m5 - m7 - m11 - m17 - m18 - m22 - m23 - m36 - m39 + m40 - m41 - m42 - m46 - m48 - m54 - m59 - m61",
"c12 = -m7 - m18 - m20 - m22 - m25 - m37 - m38 + m40 - m46 - m47 - m54 + m56 - m58 - m66",
"c13 = -m2 - m12 - m14 - m19 + m23 - m30 + m41 + m42 - m43 - m47 + m48 + m61",
"c14 = m6 - m14 - m19 - m20 + m23 - m25 - m30 + m32 - m37 - m38 + m41 + m42 - m43 - m47 + m61",
"c15 = m1 + m3 + m12 - m16 - m21 - m26 - m34 + m35 + m47 + m49 + m54 - m56 - m64 + m65 + m66",
"c16 = m12 - m16 - m18 - m20 - m21 - m25 - m26 - m34 - m37 - m38 + m40 + m49 - m58",
"c17 = -m1 + m4 - m5 + m6 - m11 - m17 + m33 - m36 - m39 + m40 + m44 + m45 - m48 + m51 + m53 - m59 + m64 + m66",
"c21 = m5 + m7 - m9 + m18 - m24 - m27 + m28 - m29 + m41 - m49 + m53",
"c22 = m4 + m7 - m9 + m10 - m17 + m18 + m20 - m23 - m27 + m28 + m30 - m31 + m34 + m37 + m38 - m39 + m47 - m49 + m52 + m53 + m58 - m62 + m66",
"c23 = m2 + m14 + m19 + m21 - m23 + m24 + m30 + m37 - m41 + m47 - m57 + m59 - m62 - m63",
"c24 = -m6 + m13 + m14 - m23 + m30 + m37 + m38 - m41 - m45 + m47 - m60 - m61 - m62",
"c25 = -m4 + m8 - m10 - m15 + m16 + m23 + m27 + m29 - m30 + m31 - m35 + m36 - m37 + m39 + m46 - m47 + m50 - m51 + m55 + m57 + m62 + m63 - m65 - m66",
"c26 = -m9 + m16 - m17 + m18 + m20 + m28 + m34 + m38 - m49 + m52 + m53 + m58 + m63",
"c27 = -m4 + m5 - m6 + m13 + m15 - m24 + m28 - m29 + m31 + m39 - m44 - m45 - m61 - m66"
],
"u": [
[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, 1, 0, 0, 0, 0, 0, 0],
[1, 1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 0, -1, -1, 0],
[1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[-1, 0, 1, 1, 1, 0, -1, 0, 1, 1, 1, 0],
[0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0],
[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1],
[0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[1, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0],
[-1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[1, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
[1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0],
[1, 1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, -1, -1, -1, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0],
[-1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1],
[1, 1, -1, 0, -1, 0, 1, 1, -1, 0, -1, 0],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1],
[1, 0, -1, 0, 0, -1, 0, -1, 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, -1, 0, 0],
[1, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[-1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0],
[1, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0],
[0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0],
[0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1],
[1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1],
[0, 0, -1, 0, 0, 0, -1, -1, 0, 1, 1, 0],
[-1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 1, 1, 1, 0, 0, 1, 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, -1, 1],
[-1, 0, 1, 0, 0, 1, -1, 0, 1, 0, 0, 1],
[-1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, -1],
[-1, -1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0],
[1, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0],
[-1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1],
[1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0],
[-1, -1, 1, 0, 0, 0, -1, -1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0],
[0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]
],
"v": [
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 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, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, -1, 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, 1, -1, 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, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 1, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 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, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 1, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 1, 1, 0, 1, 0, 1, 0, -1, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 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, -1, 1, 0, -1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1],
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 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, -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, -1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1],
[-1, 1, 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, -1, 1, 0, -1, 0, 0, 1, -1, 1, 0, -1, 0, 0, 1],
[-1, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, -1, 1, -1, 0, 0, -1, 1, 1, -1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 1],
[0, 1, 0, 0, 0, -1, 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, 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, 1, 0, 1, 0, 0, 0, 0, 0, 0],
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],
"invariant_f": "2x^6y^2z^2 + 2x^2y^6z^2 + 2x^2y^2z^6 + 2x^5y^2z^2 + 2x^2y^5z^2 + 2x^2y^2z^5 + 4x^6yz + 4xy^6z + 8x^4y^2z^2 + 8x^2y^4z^2 + 8x^2y^2z^4 + 4xyz^6 + 14x^5yz + 14xy^5z + 14xyz^5 + 14x^4yz + 14xy^4z + 72x^2y^2z^2 + 14xyz^4 + 12x^3yz + 12xy^3z + 12xyz^3 + 6x^2yz + 6xy^2z + 6xyz^2 + 138xyz",
"invariant_g": "w^173 + 2w^84",
"type": "X^2Y^6Z^2 + X^2Y^5Z^2 + 2XY^6Z + 4X^2Y^4Z^2 + 7XY^5Z + 7XY^4Z + 12X^2Y^2Z^2 + 6XY^3Z + 3XY^2Z + 23XYZ"
}