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3x8x9_m163_ZT.json
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698 lines (698 loc) · 80.9 KB
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{
"n": [3, 8, 9],
"m": 163,
"z2": false,
"complexity": 1709,
"multiplications": [
"m1 = (a11 - a12 + a13 - a15 - a16 + a18 + a22 - a31 + a32 - a33 + a34 + a35 - a38) * (b21 + b22 + b23 + b24)",
"m2 = (a11 - a16 + a23 - a25 + a28 - a31 + a34 + a37 - a38) * (b31 - b81 - b83)",
"m3 = (a11 - a16 - a17 + a18 + a27 - a31 + a34 + a37 - a38) * (-b43 + b51 + b52 + b53 + b54 + b73 + b81 + b82 + b83 + b84)",
"m4 = (a12 - a15 + a16 - a22 + a25) * (b11 + b22 + b41 + b61)",
"m5 = (a11 - a15 - a16 + a18 + a23 - a31 + a34 + a35 - a38) * (b31 + b32 + b33 + b34 + b51 + b52 + b53 + b54)",
"m6 = (-a11 + a12 - a13 + a15 + a16 - a18 - a22 + a31 + a33 - a35 + a38) * (b23 + b24 + b33 + b53 + b54 + b73 + b74 + b83 + b84)",
"m7 = (a11 - a16 - a21 + a26 - a31 + a32 + a34 - a35 + a36 + a37) * (b14 - b84)",
"m8 = (-a11 + a15 + a16 - a18 + a31 - a35 + a38) * (b24 + b34 - b44 + b54 + b74)",
"m9 = (-a31 + a34 - a35 + a37) * (b13 + b14 - b84)",
"m10 = (a14 - a16 + a21 + a23 - a24 - a25 + a28) * (b11 + b12 + b13 + b14)",
"m11 = (-a11 - a13 + a15 + a16 + a17 - a18 - a27 + a31 + a33 - a34 - a35 - a37 + a38) * (b51 + b52 + b53 + b54 + b71 + b72 + b73 + b74 + b81 + b82 + b83 + b84)",
"m12 = (a11 - a15 - a16 + a18 - a21 + a25 - a28) * (b84)",
"m13 = (a11 - a16 - a21 + a26) * (b61 + b63)",
"m14 = (-a11 + a16 + a17 - a18 - a23 + a25 - a27 + a31 - a34 - a37 + a38) * (b51 + b52 + b53 + b54 + b81 + b82 + b83 + b84)",
"m15 = (-a11 + a16 + a31 - a34 - a37) * (b11 - b21 - b31 + b41 - b51 - b71 - b81)",
"m16 = (a14 - a15 + a17 - a24 + a25 - a27) * (b11 + b13 + b22 + b41 + b43 - b54 + b61 + b63 - b74 - b84)",
"m17 = (a34 - a36 + a37) * (b61)",
"m18 = (a11 - a16 - a22 - a24 + a25 - a27) * (b22 - b54 - b84)",
"m19 = (a11 - a16 - a21 + a24 + a27) * (b22 + b41 - b54 - b74 - b84)",
"m20 = (a32 + a34 - a35 + a37) * (b14 + b24 - b84)",
"m21 = (-a12 + a15 - a16 + a22 + a24 - a25 + a27) * (b22 - b54 - b74 - b84)",
"m22 = (-a12 + a15 - a16 + a32 + a34 - a35 + a37) * (b22)",
"m23 = (a11 - a16 + a23 - a25 + a28) * (b11 + b12 + b13 + b14 - b82 - b84)",
"m24 = (a36) * (b63 + b64)",
"m25 = (-a12 + a15 - a16 + a22 - a25 + a26 - a34 + a36 - a37) * (b11 + b22 + b41 - b54 + b61 - b74 - b84)",
"m26 = (-a11 + a16 + a21 - a26 - a36) * (b11 - b14 + b22 + b41 - b54 + b61 + b63 - b74)",
"m27 = (-a14 + a15 + a16 - a17 + a24 - a25 + a27) * (b11 + b13 + b22 + b41 + b43 - b54 + b61 + b63 - b84)",
"m28 = (-a34 + a35 - a37) * (b13 + b14 - b23 - b33 + b43 - b53 - b73 - b83 - b84)",
"m29 = (-a14 + a15 + a16 - a17) * (b22 + b52 + b82)",
"m30 = (-a11 + a15 + a16 - a18 + a31 - a34 - a35 + a38) * (b31 + b32 + b33 + b34 - b44 + b51 + b52 + b53 + b54 + b74)",
"m31 = (-a11 + a16 - a27 + a31 - a34) * (b41 - b71)",
"m32 = (a14 - a16 + a27) * (b41 + b43 + b72 + b74)",
"m33 = (-a11 + a15 + a16 - a18 - a23 + a31 - a34 - a37 + a38) * (b31 + b33 + b51 + b52 + b53 + b54 + b82 + b84)",
"m34 = (a11 + a13 - a15 - a16 + a18 - a31 - a33 + a34 + a35 - a38) * (b11 + b12 + b13 + b14 - b21 - b22 - b23 - b24 - b31 - b32 - b33 - b34 + b41 + b42 + b43 + b44 - b51 - b52 - b53 - b54 + b61 + b62 + b63 + b64 - b71 - b72 - b73 - b74 - b81 - b82 - b83 - b84)",
"m35 = (-a12 + a15 + a22 - a25) * (b11 + b22 + b31 + b41 - b43 + b51 + b52 + b61 - b74 + b82)",
"m36 = (a11 - a16 - a32 - a34 + a35 - a37) * (b14 + b22 + b24 - b84)",
"m37 = (-a11 + a15 + a16 - a18 - a23) * (b32 - b82 - b84)",
"m38 = (a16) * (b12 - b22 + b42 + b62)",
"m39 = (a26 + a36) * (b11 - b14 + b22 + b41 - b54 + b61 - b64 - b74)",
"m40 = (-a11 + a15 + a16 - a18 + a24 + a31 - a34 - a35 + a38) * (b44 - b74)",
"m41 = (-a11 - a13 + a15 + a16 - a18 + a31 + a33 - a35 + a38) * (b11 + b12 + b13 + b14 - b23 - b24 - b33 - b34 + b41 + b42 + b43 + b44 - b53 - b54 + b61 + b62 + b63 + b64 - b73 - b74 - b83 - b84)",
"m42 = (a11 + a13 - a15 - a16 + a18) * (b32)",
"m43 = (-a11 + a16 + a31 - a34 + a35 - a37) * (b13 + b14 - b22 - b23 - b24 + b31 + b43 + b51 - b73 - b83 - b84)",
"m44 = (-a11 + a16 - a22 + a31 - a34 + a35 - a37) * (b23 + b24 - b43 + b73)",
"m45 = (a11 - a14 + a15 - a17 - a21 + a24 - a25 + a27) * (b11 + b13 + b22 + b41 - b54 + b61 + b63 - b74 - b84)",
"m46 = (-a11 + a16 - a23 + a25 - a28 + a31 - a34) * (b11 + b12 + b13 + b14 - b81 - b82 - b83 - b84)",
"m47 = (a12 - a22) * (b23 + b33 + b53 + b73 + b83)",
"m48 = (a11 + a13 + a14 - a15 - a16 + a18 - a24 - a31 - a33 + a35 - a38) * (b11 + b12 + b13 + b14 + b41 + b42 + b43 + b44 + b61 + b62 + b63 + b64)",
"m49 = (a14 - a15 - a16 + a17 + a25) * (b22 - b43 + b52 - b74 + b82)",
"m50 = (-a11 + a16) * (b12 + b14 + b22 + b24 - b82 - b84)",
"m51 = (a14 - a16) * (b42 - b72)",
"m52 = (a11 - a16 + a25 - a31 + a34 - a35 + a37) * (-b22 + b31 + b51)",
"m53 = (-a11 + a12 - a13 + a15 + a16 - a18 - a22 + a31 + a33 - a34 - a35 - a37 + a38) * (b21 + b22 - b53 - b54 - b73 - b74 - b83 - b84)",
"m54 = (-a11 + a16 - a23 + a25 - a28 + a31 + a33 - a34 - a35 - a37 + a38) * (b31)",
"m55 = (-a11 + a15 + a16 - a18) * (b32 - b82)",
"m56 = (a14 - a16 - a24 + a26) * (b61 + b62 + b63 + b64)",
"m57 = (a11 + a13 - a15 - a16 + a18 - a31 - a33 + a34 + a35 + a37 - a38) * (b21 + b22 + b31 + b51 + b52 + b71 + b72 + b81 + b82)",
"m58 = (-a11 + a16 - a22 + a31 + a32 - a34 - a37) * (b21 + b22)",
"m59 = (a34 + a37) * (b11 + b22 + b41 + b61)",
"m60 = (a15 - a18 - a22 + a31 - a34 - a37 + a38) * (b24 + b54 + b84)",
"m61 = (-a14 + a16 - a17) * (b22 + b52 + b72 + b82)",
"m62 = (-a11 + a12 + a16 - a18 - a22 + a31 - a34 - a37 + a38) * (b31 - b43 + b51 + b52 + b53 + b54 + b73 + b82 + b83 + b84)",
"m63 = (a35 - a38) * (b83)",
"m64 = (a11 - a16 + a22 - a31 + a34) * (b21 + b22 + b23 + b24 - b43 + b73)",
"m65 = (a11 - a16 - a17 + a18 + a22 - a31 + a34 + a37 - a38) * (b43 - b73)",
"m66 = (-a11 + a15 + a16 - a18 + a31 - a34 - a37 + a38) * (-b24 + b31 + b33 + b51 + b52 + b53 + b82)",
"m67 = (-a11 + a16 - a28 + a31 - a34 - a37 + a38) * (b31 - b81)",
"m68 = (-a11 + a15 + a16 - a18 - a23 + a31 + a33 - a35 + a38) * (b34)",
"m69 = (-a11 + a16 + a21 - a26 + a34 - a36 + a37) * (b11 + b22 + b41 - b54 - b74 - b84)",
"m70 = (a11 - a12 + a13 - a15 - a16 + a18 + a22 - a31 + a34 + a37 - a38) * (b33)",
"m71 = (-a34 + a36) * (b61 + b62 + b63 + b64)",
"m72 = (a11 - a16 - a31 + a34) * (b11 + b12 + b13 + b14 - b21 - b22 - b23 - b24 + b41 + b43 - b71 - b73 - b81 - b82 - b83 - b84)",
"m73 = (-a14 + a16 + a24) * (b11 + b12 + b13 + b14 + b41 + b42 + b43 + b61 + b62 + b63 + b64 + b74)",
"m74 = (-a15 - a21 - a25) * (-b19 + b58)",
"m75 = (a18) * (b38 - b39 + b48 - b49 + b79 - b89)",
"m76 = (-a16 - a26 - a36) * (-b69)",
"m77 = (a18 + a35 + a38) * (b25 + b27 + b28 + b85 + b87 + b88)",
"m78 = (a18 + a33) * (b25 - b38 + b39 - b48 + b49 - b75 - b79 + b85 + b89)",
"m79 = (a12 + a13 - a18 + a22 + a25 - a28 + a32 + a33 + a35 - a38) * (b25)",
"m80 = (a13 - a15 + a33) * (-b25 + b35)",
"m81 = (a23) * (b25 + b26 + b29 - b35 - b36 - b39 - b55 - b56 - b57 - b59 - b65 - b66 - b69 + b76)",
"m82 = (-a16 - a21 + a22 - a28 - a36) * (b28 - b68)",
"m83 = (a23 - a24 + a27 + a33 - a34) * (-b27 + b37)",
"m84 = (a26 + a27 + a36) * (b67 + b76)",
"m85 = (a13 - a14 + a17 + a37) * (b27 + b75 + b77 + b78)",
"m86 = (a11 + a37) * (b15 + b17 + b19 + b28 - b78 + b88)",
"m87 = (a15 - a16 - a36) * (b56 - b65)",
"m88 = (a15 - a16 - a22 - a25 + a28 - a36) * (b56)",
"m89 = (a36) * (-b65 - b66 - b67 + b68)",
"m90 = (-a17 - a18 - a27) * (b28 - b79 + b88)",
"m91 = (a11 + a31 + a33 - a34) * (b17 + b18 + b28 - b57 - b58)",
"m92 = (a12 + a13 - a18 + a33) * (b25 + b36 + b46)",
"m93 = (a21 + a25) * (-b57 + b75 + b79)",
"m94 = (-a17 - a18 + a24 - a27 - a28) * (b28 + b88)",
"m95 = (a13 - a14 - a16 - a36) * (b28 - b68)",
"m96 = (-a23 + a26 + a36) * (b26 + b29 - b36 - b56 - b66 - b69 + b76)",
"m97 = (-a15) * (b25 - b35 - b55 - b57 - b58 - b65)",
"m98 = (a36) * (-b69)",
"m99 = (a23 - a25 - a35) * (b25 - b55 - b57 - b59)",
"m100 = (a17 + a18) * (-b57 - b58 + b75)",
"m101 = (-a24 - a37 - a38) * (b28 - b45 + b88)",
"m102 = (-a13 + a14 + a16 + a22 + a23 - a24 - a28 + a36) * (-b46)",
"m103 = (a13 - a14 + a23) * (b38 + b48 - b49)",
"m104 = (a28 - a35) * (-b19 + b25 + b27 + b28 + b59 + b85 + b87 + b88)",
"m105 = (-a21 - a25 + a27 + a28 + a37 + a38) * (b75 + b79)",
"m106 = (-a21) * (b18 + b28 + b48 - b49 - b58)",
"m107 = (a21 + a31 - a37) * (b15 + b17 + b19)",
"m108 = (a11 + a31 + a35) * (b15 + b57 + b58)",
"m109 = (a28 - a33 + a38) * (b25 - b75 - b79 + b85 + b89)",
"m110 = (-a28 - a37 - a38) * (b27 + b75 + b79 + b87)",
"m111 = (-a14 - a34 + a37 + a38) * (-b45)",
"m112 = (-a15 - a23) * (b25 - b35 - b55 - b57 - b59 - b65)",
"m113 = (-a24 + a33 - a34) * (-b37 - b45 - b47 - b49)",
"m114 = (a13 - a14 - a16 - a36) * (-b46 - b67)",
"m115 = (-a23 + a26 + a36) * (b36 + b46 - b65)",
"m116 = (-a12 + a17 + a18 - a26 - a27 - a36) * (b76)",
"m117 = (a24 - a31 + a34 - a35) * (b37 + b47)",
"m118 = (-a37) * (b15 + b17 + b19 - b27 + b76 + b77 - b87)",
"m119 = (a35) * (b15 + b25 + b27 + b28 - b55 - b56 + b85 + b87 + b88)",
"m120 = (-a11 + a14 - a15 - a21 - a25) * (b19)",
"m121 = (a21 - a35) * (b15 + b19 + b57)",
"m122 = (-a12 + a17 + a18 + a37) * (-b27 + b76)",
"m123 = (a15 + a25 + a28) * (b19 - b59)",
"m124 = (a15 - a16 + a23 - a26 - a36) * (-b65)",
"m125 = (a28) * (b19 + b26 - b28 + b29 - b59 + b86 - b88 + b89)",
"m126 = (a13 - a14 + a21 + a23 - a24) * (-b48 + b49)",
"m127 = (a21 - a33 + a34) * (b17 + b18 + b28 + b48 - b49 - b57 - b58)",
"m128 = (-a12 - a16 - a36) * (b28 + b46 - b56 - b66)",
"m129 = (-a12 - a13 + a18 + a23 - a26 - a36) * (b36 + b46)",
"m130 = (a11 + a31 - a32 + a38) * (b16 + b28)",
"m131 = (-a21 + a22 + a26 - a28 - a31 + a32 + a36 - a38) * (b16)",
"m132 = (-a11 + a17 + a27) * (b28 - b78 + b88)",
"m133 = (-a14) * (b19 + b38 + b48)",
"m134 = (-a11 + a12 + a16 - a18 - a31 + a32 + a36 - a38) * (b28)",
"m135 = (-a12 + a17 + a18 - a22 - a23 + a24 + a28 - a32 - a33 + a34 + a37 + a38) * (b27)",
"m136 = (-a17 - a18 - a21 - a25) * (-b57 - b58 + b75 + b79)",
"m137 = (-a13 + a14 + a27) * (b27 - b37 - b67 + b75 + b77 + b78)",
"m138 = (a18) * (b28 + b36 + b46 - b76 + b86)",
"m139 = (-a13 + a14 + a16 + a26 + a27 + a36) * (-b67)",
"m140 = (-a14 - a33) * (-b37 - b38 - b45 - b47 - b48)",
"m141 = (a12) * (b26 - b36 - b56 - b66 + b76)",
"m142 = (a21 - a22 - a26 + a28) * (-b68)",
"m143 = (a18 - a37) * (b27 + b28 + b75 + b87 + b88)",
"m144 = (a22 + a25 - a28 + a35) * (b25 + b56)",
"m145 = (-a13 + a14) * (b27 + b28 - b37 - b38 - b67 - b68 + b75 + b77 + b78)",
"m146 = (a12 - a26 - a36) * (b26 + b29 - b36 - b56 - b66 + b76)",
"m147 = (-a27) * (b27 - b37 - b67 + b75 + b77 + b79)",
"m148 = (-a11 - a15 + a17 + a18 - a31 - a35) * (b57 + b58)",
"m149 = (a21 - a22 - a26 + a28 - a36) * (b16 + b68)",
"m150 = (-a31 - a35) * (b15 + b19 - b37 - b47)",
"m151 = (a22 + a26 - a28 + a36) * (b16 + b26 + b29 + b46 - b56)",
"m152 = (-a32) * (b26 + b86)",
"m153 = (a22 + a23 - a24 - a28 + a33 - a34) * (b27 - b46)",
"m154 = (a28 + a32) * (b26 + b29 + b86)",
"m155 = (-a14 - a31 - a35) * (-b19 + b37 + b47)",
"m156 = (-a12 - a22 - a32) * (b29)",
"m157 = (a32 - a38) * (b16 + b25 + b27 - b86)",
"m158 = (-a13 + a18 - a23) * (b38 - b39 + b48 - b49)",
"m159 = (-a33 + a34) * (-b17 - b18 - b28 - b45 - b46 - b47 - b48 + b57 + b58)",
"m160 = (-a11) * (b16 - b18 + b19 + b28 - b78 + b88)",
"m161 = (-a24) * (b28 + b49 + b88)",
"m162 = (a37 + a38) * (b27 + b28 - b45 + b87 + b88)",
"m163 = (-a33) * (b25 + b35 + b36 + b37 + b39 + b45 + b46 + b47 + b49 - b75 - b79 + b85 + b89)"
],
"elements": [
"c11 = m2 + m3 + m4 + m9 + m11 + m20 + m22 + m23 + m31 + m32 + m35 + m36 + m43 + m44 + m46 + m49 + m50 + m52 + m53 + m54 + m57 + m61 + m62 + m63 + m64 + m72",
"c12 = -m20 - m22 + m29 - m36 + m38 + m42 - m50 + m51 + m55 - m61",
"c13 = -m4 - m9 + m16 + m18 - m20 + m21 - m22 + m27 - m29 - m35 - m36 - m43 - m44 + m47 - m49 - m52 + m60 - m62 - m63 + m65 + m66 + m70",
"c14 = m5 + m6 - m16 - m18 + m20 - m21 + m22 - m27 + m30 + m33 + m36 + m37 - m38 + m40 + m41 - m47 + m48 - m55 - m60 - m66 + m68 + m73",
"c15 = m75 + m78 + m80 + m92 + m97 + m100 + m108 + m115 + m124 + m129 + m133 + m140 + m148 + m150 + m155 + m163",
"c16 = m84 + m87 + m89 + m114 - m115 + m116 - m124 + m128 - m129 + m130 + m131 + m134 + m138 + m139 + m141 + m142 + m149",
"c17 = m74 - m84 + m85 + m86 + m90 + m93 - m108 - m116 + m118 + m120 + m122 + m132 + m136 + m137 - m139 + m143 + m147 - m148 - m150 - m155",
"c18 = -m74 - m90 - m93 + m95 - m100 - m120 + m130 + m131 - m132 - m133 + m134 - m136 - m137 + m142 + m145 - m147 + m149 + m160",
"c19 = -m74 - m75 + m76 + m81 - m93 + m96 - m97 - m100 + m103 + m112 - m120 - m133 - m136 - m141 + m146 + m158",
"c21 = m2 + m4 + m9 + m17 + m19 + m20 - m21 + m22 + m23 + m25 + m31 + m36 + m43 + m44 + m46 + m50 + m52 + m63 + m64 + m67 + m69 + m72",
"c22 = -m4 + m10 + m12 - m17 - m19 - m20 + m21 - m22 - m23 + m24 - m25 + m26 - m27 + m29 + m32 - m36 - m37 + m39 + m45 + m49 - m50 + m51 + m55 + m56 - m69 + m73",
"c23 = -m2 + m3 - m4 - m9 + m13 + m14 - m17 + m18 - m20 + m21 - m22 - m25 + m27 - m29 - m33 - m36 - m43 - m44 - m45 - m49 - m52 + m60 - m63 + m65 + m66 - m67 - m69",
"c24 = m4 + m5 - m12 - m13 + m17 - m18 + m20 - m21 + m22 - m24 + m25 - m26 + m30 + m33 + m36 + m37 - m39 + m40 - m55 - m60 - m66 + m69",
"c25 = -m74 - m87 + m88 - m90 + m94 - m97 + m99 - m100 + m101 + m104 + m105 + m110 + m112 + m119 + m121 + m123 + m124 - m136 + m144 + m162",
"c26 = m84 + m87 - m88 + m89 + m102 + m114 - m115 - m124 + m139 - m141 + m142 + m146 + m149 + m151 + m152 + m154 + m156",
"c27 = m83 - m93 - m101 - m102 - m105 + m106 - m110 + m113 - m114 + m127 - m139 - m147 + m153 + m159 + m161 - m162",
"c28 = m82 + m90 + m93 - m94 - m95 + m100 + m103 - m106 + m126 + m136 + m137 + m142 - m145 + m147 - m161",
"c29 = m74 - m81 + m90 + m93 - m94 - m96 + m97 + m98 + m100 - m112 - m123 + m125 + m136 + m141 - m146 - m152 - m154 - m156 - m161",
"c31 = m2 + m9 + m15 - m17 + m20 + m23 + m36 + m43 + m44 + m46 + m50 + m54 + m58 + m59 + m63 + m64 + m72",
"c32 = m8 - m15 + m17 - m20 - m24 + m28 - m30 + m34 - m36 + m41 + m42 - m43 - m50 + m55 + m57 - m59 + m66 + m71 - m72",
"c33 = m1 + m6 + m7 - m9 - m13 + m17 - m20 - m26 - m28 - m44 + m53 - m58 - m59 - m63 - m64 + m69 + m70",
"c34 = m5 - m7 - m8 + m13 - m17 + m20 + m24 + m26 + m30 + m33 + m37 - m55 + m59 - m66 + m68 - m69",
"c35 = -m75 + m77 - m78 + m79 + m87 - m88 - m92 + m111 - m115 - m119 - m124 - m129 - m133 - m140 - m143 - m144 - m150 - m155 - m162 - m163",
"c36 = -m79 - m84 - m87 + m88 - m89 + m92 - m102 - m114 + m115 - m116 + m122 + m124 + m129 - m131 + m135 - m139 - m142 + m144 - m149 - m152 + m153 + m157",
"c37 = m84 + m101 + m102 - m106 + m107 - m113 + m114 + m116 + m117 - m118 - m121 - m122 - m127 - m135 + m139 + m150 - m153 - m159 - m161 + m162",
"c38 = -m86 + m91 - m101 + m106 - m107 + m108 - m111 + m113 - m117 + m121 + m127 - m130 - m131 + m133 + m140 - m142 - m149 + m155 - m160 + m161",
"c39 = m75 - m77 + m78 - m98 - m101 - m104 + m109 - m110 - m111 + m113 - m117 - m125 + m133 + m140 + m143 + m152 + m154 + m155 + m161"
],
"u": [
[1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 0, 0, -1],
[1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 1, -1],
[1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1, 0, 0, 1, -1],
[0, 1, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, -1],
[-1, 1, -1, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1],
[1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 1, -1, 1, 1, 0],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 1, 0],
[0, 0, 0, 1, 0, -1, 0, 0, 1, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, -1, 0, 1, 1, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 1, -1, -1, 0, -1, 1],
[1, 0, 0, 0, -1, -1, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, 1],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0],
[0, 0, 0, 1, -1, 0, 1, 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, 1, 0, -1, 1, 0],
[1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 0, 0, 0, -1, 0, 0, -1, 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, 1, 0, 1, -1, 0, 1, 0],
[0, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 1, -1, 0, 1, 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, 1, 0, 1, -1, 0, 1, 0],
[1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[0, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0],
[-1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, -1, 1, 1, -1, 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, -1, 1, 0, -1, 0],
[0, 0, 0, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, 0, 0],
[0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1],
[1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0, 0, -1],
[0, -1, 0, 0, 1, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, -1, 0],
[-1, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, -1, 0, 0, 1],
[-1, 0, -1, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1],
[1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, -1, 0],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, -1, 0],
[1, 0, 0, -1, 1, 0, -1, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 0, -1, 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],
[1, 0, 1, 1, -1, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1],
[0, 0, 0, 1, -1, -1, 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, 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, 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, 1, -1, 0, 1, 0],
[-1, 1, -1, 0, 1, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1, -1, 0, -1, 1],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1, 1, 0, 1, -1, -1, 0, -1, 1],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
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[1, 0, 1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 1, 0, 1, -1],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0],
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[0, 0, 0, -1, 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, 1, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1],
[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, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0],
[1, 0, 0, 0, 0, -1, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, -1],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 1],
[-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0, 0, -1, 1],
[-1, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1],
[-1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 1, 0],
[1, -1, 1, 0, -1, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 1, -1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0],
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[0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0, -1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1],
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[0, 1, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -1, 0, 1, 1, 0, 1, 0, 0, -1],
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[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, -1, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 1, 0, 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, 0, 1, 0, 0],
[0, 0, 1, -1, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
[0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0],
[0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 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, 0],
[0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 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, 1, 0, 1, -1, 0, 0, 0, 0],
[0, 1, 1, 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, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, -1, -1, 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, -1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 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, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1],
[0, 0, -1, 1, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0],
[0, 0, 1, -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, 1, 0, 0, 0, 0, -1, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 1, 0, 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, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, -1],
[0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1],
[0, 0, 0, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 1, -1, 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, -1, 0, 0],
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],
"invariant_f": "4x^4y^2z^2 + 4x^2y^4z^2 + 4x^2y^2z^4 + 2x^3y^3z + 24x^3y^2z^2 + 24x^2y^3z^2 + 2x^3yz^3 + 24x^2y^2z^3 + 2xy^3z^3 + 4x^4yz + 4x^3y^2z + 4x^2y^3z + 4xy^4z + 4x^3yz^2 + 234x^2y^2z^2 + 4xy^3z^2 + 4x^2yz^3 + 4xy^2z^3 + 4xyz^4 + 60x^3yz + 16x^2y^2z + 60xy^3z + 16x^2yz^2 + 16xy^2z^2 + 60xyz^3 + 82x^2yz + 82xy^2z + 82xyz^2 + 144xyz",
"invariant_g": "w^307 + w^280 + w^216",
"type": "2X^2Y^4Z^2 + X^3Y^3Z + 6X^3Y^2Z^2 + 6X^2Y^3Z^2 + 2X^3Y^2Z + 2X^2Y^3Z + 2XY^4Z + 39X^2Y^2Z^2 + 23X^3YZ + 8X^2Y^2Z + 7XY^3Z + 23X^2YZ + 18XY^2Z + 24XYZ"
}