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569 lines (569 loc) · 56.3 KB
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{
"n": [5, 6, 6],
"m": 130,
"z2": false,
"complexity": 1716,
"multiplications": [
"m1 = (a11 - a25 + a45) * (b12 - b14 + b15 + b55)",
"m2 = (a22 + a24 - a25 + a45) * (b13 + b14 - b15 + b16 - b33 - b34 + b35 - b36 - b46 + b53 + b54 - b55)",
"m3 = (a13 + a33 - a53) * (b11 - b14 + b15 + b21 - b24 + b25 - b31 + b34 - b35 - b41 + b44 - b45)",
"m4 = (a12 + a14 - a21 - a22 - a24 + a25 + a32 + a34 + a41 + a42 + a44 - a45) * (b13 - b45)",
"m5 = (a12 + a14 - a22 + a26 + a32 + a34 + a42 - a46) * (b22 + b62 - b63 - b64 + b65)",
"m6 = (a14 - a15 + a16 + a55) * (b22 - b42 - b52 + b61 + b62 - b64 + b65)",
"m7 = (a22 - a26 - a42 + a46 - a52 - a54) * (b22 + b61 + b62 - b64 + b65)",
"m8 = (a13 - a23 + a43) * (b32 - b34 + b35)",
"m9 = (a22 + a24 - a25 - a42 - a44 + a45 - a52 - a54) * (b11 + b13 + b16 - b31 - b33 - b36 - b46 + b51 + b53)",
"m10 = (a12 - a16 - a22 + a26 + a42 - a46) * (b62 - b63 - b64 + b65 - b66)",
"m11 = (a12 + a14 - a22 + a32 + a34 + a42) * (b22 - b23 - b24 + b25 + b43 - b45 + b62 - b63 - b64 + b65)",
"m12 = (a11 + a13) * (b15 + b55)",
"m13 = (a13 - a23 + a31 + a33 + a43) * (b12 - b14 + b35)",
"m14 = (a12 - a16 - a22 + a23 - a24 + a25 + a42 - a46) * (b13 + b16 + b23 + b26 - b43 - b46)",
"m15 = (a13 + a33 - a34 + a35 - a53) * (b12 - b14 + b21 + b22 - b24 + b25 - b32 + b34 - b41 - b42 + b44 - b45 + b61 + b62 - b64 + b65)",
"m16 = (a12 + a14 - a22 + a23 - a24 + a25 + a32 + a34 + a42 - a43 + a44 - a45) * (b13 + b16 - b36 - b43 - b46)",
"m17 = (a11 - a55) * (b11 - b55)",
"m18 = (a11 + a14 - a15 - a51 - a54 + a55) * (b13 + b16)",
"m19 = (a12 - a16 - a22 + a23 - a24 + a25 + a32 - a36 + a42 - a46) * (b13 + b16 + b23 + b26 - b36 - b43 - b46)",
"m20 = (a25 - a45) * (b46 + b56)",
"m21 = (a12 - a16 - a22 + a26 + a32 - a36 + a42 - a46) * (b62 - b63 - b64 + b65)",
"m22 = (a55) * (b11 + b13 + b16 - b31 - b33 - b36 + b51 + b53 + b56)",
"m23 = (a16 + a36 - a43 + a44 - a45 + a46 - a53 + a54 - a55) * (b13 + b16 + b23 + b26 - b36 - b43 - b46 + b63 + b66)",
"m24 = (a22 + a24) * (b43 + b44 - b45 + b53 + b54 - b55)",
"m25 = (a13 + a31 + a33 + a43) * (b14 - b35)",
"m26 = (a21 + a22 + a24 - a25 - a42 + a46) * (b25 - b45)",
"m27 = (a32 + a34 - a35) * (b21 + b23)",
"m28 = (a13 + a33 - a34 + a35 + a43) * (b12 - b14 + b22 - b32 + b34 - b42 + b62)",
"m29 = (a13 - a46) * (b25 - b45 + b65)",
"m30 = (a12 - a16 - a21 - a22 - a24 + a25 + a42 - a46) * (b13 + b16 + b25 - b45)",
"m31 = (a45) * (b13 + b14 - b15 + b16 - b33 - b34 + b35 - b36 + b53 + b54 - b55 + b56)",
"m32 = (a12 + a14 - a22 + a23 - a24 + a25 + a42 - a43 + a44 - a45) * (b13 + b16 - b43 - b46)",
"m33 = (a22 - a26) * (b62)",
"m34 = (a22 - a26 + a44 + a46) * (b22 + b62)",
"m35 = (a21 + a22 + a24 - a25 - a42 + a46 - a52 + a56) * (b11 - b25 + b45)",
"m36 = (a41 + a44 - a45 + a51 + a54 - a55) * (b25 - b45 + b65)",
"m37 = (a12 - a16 - a22 + a42 - a46) * (b23 - b25 + b26 - b43 + b45 - b46 - b62 + b63 + b64 - b65 + b66)",
"m38 = (a22 - a23 + a24 - a25 - a42 + a46 - a52 + a56) * (b13 + b16 + b23 + b26 - b31 - b33 - b36 - b43 - b46)",
"m39 = (a42 + a44 + a52 + a54) * (b41 + b43 + b51 + b53)",
"m40 = (a21 + a22 + a24 - a25 - a41 - a42 - a44 + a45 - a52 - a54) * (b11 + b45)",
"m41 = (a13 - a14 + a15 - a16 + a33 - a34 + a35 - a36 + a41 + a43 + a51 + a54 - a55 + a56) * (b61 - b64 + b65)",
"m42 = (a12 + a14 - a22 + a42) * (b22 - b23 - b24 + b25 - b26 + b43 - b45 + b46 + b62 - b63 - b64 + b65 - b66)",
"m43 = (a12 - a16 - a21 - a22 - a24 + a25 + a32 - a36 + a42 - a46) * (b13 + b25 - b45)",
"m44 = (a13 - a23 + a33 - a34 + a35 + a43) * (b12 - b14 - b32 + b34)",
"m45 = (a13 + a33 - a34 + a35 - a36 + a43) * (b12 + b22 - b32 - b42 + b62)",
"m46 = (a16 - a43 + a44 - a45 + a46 - a53 + a54 - a55) * (b13 + b16 + b23 + b26 - b43 - b46 + b63 + b66)",
"m47 = (a13 + a21 + a22 + a24 - a25 - a41 - a42 - a44 + a45) * (b45)",
"m48 = (a22 + a44) * (b22 - b44 + b62)",
"m49 = (a42 - a46 + a52 - a56) * (b21 + b23 - b41 - b43 - b51 - b53)",
"m50 = (a15 + a35) * (b16 - b36 + b56)",
"m51 = (a43 - a44 + a45 - a46 + a53 - a54 + a55 - a56) * (b13 + b16 + b23 + b26 - b31 - b33 - b36 - b43 - b46 + b63 + b66)",
"m52 = (a13 - a14 + a15 + a31 + a33 - a53 + a54 - a55) * (b36)",
"m53 = (a22 - a23 + a24 - a25) * (b13 + b16 + b23 + b26 - b33 - b34 + b35 - b36 - b43 - b46)",
"m54 = (a52 + a54) * (b21 - b24 + b25)",
"m55 = (a11 + a14 - a15 + a31 + a34 - a35 - a51 - a54 + a55) * (b12 - b14)",
"m56 = (a13 + a22 - a42) * (b13 + b16 - b33 - b36 + b45 + b53 + b56)",
"m57 = (a14 + a16 + a35) * (b22 - b42 - b52 + b62 - b63 - b64 + b65)",
"m58 = (a13 + a15 + a35) * (b13 + b16 - b36 + b53 + b56)",
"m59 = (a21 + a22 + a24 - a25) * (b14 - b15 - b25 + b45)",
"m60 = (a13 - a14 + a15 + a33 - a34 + a35 - a53 + a54 - a55) * (b12 - b14 + b21 + b22 - b24 + b25 - b41 - b42 + b44 - b45 + b61 + b62 - b64 + b65)",
"m61 = (a11 - a15) * (b13 + b16 + b55)",
"m62 = (a13 - a14 + a15 + a33 - a34 + a35 + a41 + a43 + a51 + a54 - a55) * (b12 - b14 + b22 - b42 + b62)",
"m63 = (a12 + a14 - a22 - a24 + a25 + a32 + a34 + a42 + a44 - a45) * (b16 - b36 - b46)",
"m64 = (a11 + a13 + a31 + a33 - a51 - a53) * (b11 + b15)",
"m65 = (a22 + a24 - a25) * (b13 + b14 - b15 + b16 + b26 - b33 - b34 + b35 - b36 - b46 + b53 + b54 - b55)",
"m66 = (a22 - a42 + a46) * (b25 - b45 + b62 - b64 + b65)",
"m67 = (a16 + a36 + a41 + a44 - a45 + a46 + a51 + a54 - a55) * (b13 + b25 - b45 + b65)",
"m68 = (a24 - a44) * (b42 - b44)",
"m69 = (a16 + a36 + a46) * (b23 - b25 - b43 + b45 + b63 - b65)",
"m70 = (a12 + a14 - a22 + a26 + a42 - a46) * (b22 + b62 - b63 - b64 + b65 - b66)",
"m71 = (a12 - a16 - a22 + a32 - a36 + a42 - a46) * (b23 - b25 - b43 + b45 - b62 + b63 + b64 - b65)",
"m72 = (a21 - a25 - a41 + a45) * (b12 - b14 + b15 - b45)",
"m73 = (a12 + a14 - a21 - a22 - a24 + a25 + a41 + a42 + a44 - a45) * (b13 + b16 - b45)",
"m74 = (a33) * (b33)",
"m75 = (a13 - a45) * (b13 + b16 - b33 - b34 + b35 - b36 + b53 + b56)",
"m76 = (a21 + a22 + a24 - a25 - a41 + a45) * (b14 - b15 + b45)",
"m77 = (a22 - a42 + a46 - a52 + a56) * (b21 + b25 - b41 - b45 + b61 + b62 - b64 + b65)",
"m78 = (a34 - a35) * (b12 - b14 + b22 - b23 - b24 + b25 - b32 + b34 - b42 + b43 + b44 - b45 + b62 - b63 - b64 + b65)",
"m79 = (a23 + a25 - a43 - a45) * (b13 + b16 + b32 - b33 - b34 + b35 - b36 - b43 - b46)",
"m80 = (a22 - a26 - a42 + a46) * (b62 - b64 + b65)",
"m81 = (a22 + a24) * (b41 + b43 + b51 + b53)",
"m82 = (a26) * (b12 - b14 + b62 - b64)",
"m83 = (a13 + a25 - a45) * (b13 + b16 + b32 - b33 - b34 + b35 - b36 + b53 + b56)",
"m84 = (a13 + a33 - a34 + a35 - a36 - a53) * (b12 + b22 - b32 - b42 + b61 + b62 - b64 + b65)",
"m85 = (a22) * (b24 - b44 + b62)",
"m86 = (a22 - a23 + a24 - a25 + a43 + a45) * (b13 + b16 - b33 - b34 + b35 - b36 - b43 - b46)",
"m87 = (a12 + a14 - a15 + a55) * (b21 - b24 + b25 - b41 + b44 - b45 - b51 + b54 - b55)",
"m88 = (a22 - a42) * (b13 + b16 + b22 - b24 + b25 - b33 - b36 + b53 + b56 + b62 - b64 + b65)",
"m89 = (a14 - a15 - a45) * (b22 - b42 - b52 + b54 + b62)",
"m90 = (a13 + a15) * (b13 + b16 + b53 + b56)",
"m91 = (a12 + a14) * (b41 - b44 + b45 + b51 - b54 + b55)",
"m92 = (a13 + a31 + a33 - a53) * (b11 + b15 - b35)",
"m93 = (a44 - a45 + a46 + a54 - a55 + a56) * (b11 + b13 - b31 - b33 + b51 + b53)",
"m94 = (a12 + a14 + a32 + a34) * (b23 + b24 - b25)",
"m95 = (a22 + a24 - a25 - a42 + a46 - a52 + a56) * (b11 + b13 + b16 + b26 - b31 - b33 - b36 - b46 + b51 + b53)",
"m96 = (a41 + a44 - a45 + a51 + a54 - a55) * (b22 - b42 + b62)",
"m97 = (a11 + a13 - a21 - a23 + a26 + a31 + a33 + a41 + a43) * (b12 - b14)",
"m98 = (a14 + a16) * (b22 - b42 - b52 + b62 - b63 - b64 + b65 - b66)",
"m99 = (a46 + a56) * (b21 + b25 - b41 - b45 + b61 + b65)",
"m100 = (a14 + a35) * (b22 - b23 - b24 + b25 - b42 + b43 + b44 - b45 - b52 + b54 + b62 - b63 - b64 + b65)",
"m101 = (a31 + a33) * (b35)",
"m102 = (a11 + a14 - a15 + a31 + a34 - a35 - a51 - a54 + a55) * (b13)",
"m103 = (a13 - a53) * (b31)",
"m104 = (a31 + a34 - a35) * (b13 + b16 - b36)",
"m105 = (a13 + a43) * (b34 - b35)",
"m106 = (a31) * (b13 - b15 + b35)",
"m107 = (a34 - a35 + a36) * (b12 + b22 - b32 - b42 + b62 - b63 - b64 + b65)",
"m108 = (a12 - a16 - a22 - a24 + a25 + a32 - a36 + a42 - a46) * (b16 + b26 - b36 - b46)",
"m109 = (a13 + a55) * (b13 + b16 - b31 - b33 - b36 + b53 + b56)",
"m110 = (a13) * (b15 + b25 - b35 + b55 + b65)",
"m111 = (a41 + a44 - a45 + a46 + a51 + a54 - a55 + a56) * (b11 - b25 + b45 - b65)",
"m112 = (a22 - a42 - a52 - a54) * (b21 + b22 - b24 + b25 - b41 - b45 + b61 + b62 - b64 + b65)",
"m113 = (a14 - a15 + a16 - a45) * (b22 - b42 - b52 + b62)",
"m114 = (a11 - a15 - a35) * (b13 + b55)",
"m115 = (a41 + a43 + a51 + a53) * (b12 + b22 - b42 + b61 + b62 - b64 + b65)",
"m116 = (a14 - a15 + a25 - a45) * (b52 - b54)",
"m117 = (a22 - a23 + a24 - a25 - a42 + a43 - a44 + a45 - a52 - a54) * (b13 + b16 - b31 - b33 - b36 - b43 - b46)",
"m118 = (a35) * (b41 + b43 + b51 + b53)",
"m119 = (a12 + a14 + a35) * (b23 + b24 - b25 + b41 - b44 + b45 + b51 - b54 + b55)",
"m120 = (a16 + a36 - a56) * (b16 + b26 - b36 - b46 + b66)",
"m121 = (a16 + a46) * (b23 - b25 + b26 - b43 + b45 - b46 + b63 - b65 + b66)",
"m122 = (a11 + a13 + a31 + a33 + a41 + a43) * (b14)",
"m123 = (a25 - a45) * (b12 - b13 - b14 + b15 - b16 - b32 + b33 + b34 - b35 + b36 + b52 - b53 - b54 + b55 - b56)",
"m124 = (a14 - a15 + a55) * (b21 + b22 - b24 + b25 - b41 - b42 + b44 - b45 - b52 + b54 + b61 + b62 - b64 + b65)",
"m125 = (a14) * (b22 - b23 - b24 + b25 - b26 - b42 + b43 + b44 - b45 + b46 - b52 + b54 + b62 - b63 - b64 + b65 - b66)",
"m126 = (a22 - a26 - a42 + a46 - a52 + a56) * (b61 + b62 - b64 + b65)",
"m127 = (a16 + a41 + a44 - a45 + a46 + a51 + a54 - a55) * (b13 + b16 + b25 - b45 + b65)",
"m128 = (a22 - a26 - a42 + a46) * (b22)",
"m129 = (a11 + a45) * (b14 - b15 - b55)",
"m130 = (a12 + a14) * (b23 + b24 - b25 + b26)"
],
"elements": [
"c11 = m6 - m10 + m17 - m18 + m22 - m26 - m30 + m36 - m37 - m42 - m47 + m56 + m61 + m66 + m70 + m73 + m87 - m88 + m91 - m98 - m109 - m121 - m124 + m125 - m127 + m128",
"c12 = m1 - m10 - m31 + m70 - m75 + m83 - m89 - m98 + m113 - m116 + m123 + m128 + m129",
"c13 = m10 + m18 + m26 + m30 - m36 + m37 + m42 + m47 - m50 - m56 - m57 + m58 - m61 - m66 - m70 - m73 + m88 - m91 + m98 + m100 + m114 - m118 + m119 + m121 - m125 + m127 - m128",
"c14 = -m10 + m12 + m29 - m31 - m37 - m42 + m56 + m66 + m70 - m75 - m88 - m89 - m98 - m110 + m113 - m121 + m125 + m128 + m129",
"c15 = m12 + m18 + m26 + m29 + m30 - m36 + m47 - m61 - m73 - m110 + m127",
"c16 = m50 + m57 - m58 + m61 + m90 + m91 - m98 - m100 - m114 + m118 - m119 + m125 + m130",
"c21 = -m2 + m8 + m20 + m26 + m31 + m35 + m38 + m49 - m53 + m65 - m66 + m75 + m77 + m79 + m80 + m81 - m83 + m86 - m95 + m105 - m126",
"c22 = -m1 - m2 + m8 - m13 + m20 + m24 - m25 - m28 + m31 - m33 + m44 + m48 + m55 + m62 + m68 + m72 + m75 + m76 + m79 - m83 + m86 + m89 - m96 + m105 + m116 + m122 - m129",
"c23 = m2 - m8 + m19 - m20 - m21 - m26 - m31 - m43 + m53 - m65 + m66 - m71 - m75 - m79 - m80 + m83 - m86 - m105 - m108",
"c24 = -m1 - m2 + m8 - m13 + m20 + m24 - m25 + m31 - m33 + m72 + m75 + m76 + m79 - m82 - m83 + m85 + m86 + m97 + m105 + m122 - m129",
"c25 = -m1 - m13 - m25 - m26 - m59 + m66 + m72 + m76 - m80 - m82 + m97 + m122 - m129",
"c26 = -m2 - m10 + m14 - m19 + m20 + m21 - m30 + m31 - m37 + m43 + m65 + m71 + m108",
"c31 = -m3 + m4 + m5 + m10 - m11 + m15 + m18 - m21 + m27 + m30 + m37 + m42 - m43 - m57 - m61 - m67 - m69 - m70 - m71 - m73 + m78 - m84 - m91 + m92 - m94 + m98 + m100 - m102 - m103 + m106 - m107 + m114 + m119 + m121 - m125 + m127",
"c32 = m5 - m8 + m10 + m13 - m21 + m25 + m28 - m44 - m45 - m57 - m70 + m98 - m105 - m107",
"c33 = -m4 - m5 - m10 + m11 - m18 + m21 - m30 - m37 - m42 + m43 + m57 + m61 + m67 + m69 + m70 + m71 + m73 + m74 + m91 + m94 - m98 - m100 + m102 - m114 + m118 - m119 - m121 + m125 - m127",
"c34 = m5 + m10 - m11 - m21 + m25 + m28 + m37 + m42 - m45 - m57 - m69 - m70 - m71 + m78 + m98 + m100 + m101 - m105 - m107 + m121 - m125",
"c35 = -m4 - m18 - m30 + m43 + m61 + m67 + m73 + m101 + m102 - m106 - m114 - m127",
"c36 = m4 + m5 + m10 - m11 - m14 - m16 + m18 + m19 - m21 + m23 + m30 + m32 + m37 + m42 - m43 - m46 + m52 - m57 + m58 - m61 - m67 - m69 - m70 - m71 - m73 - m90 - m91 - m94 + m98 + m100 - m102 + m104 + m114 - m118 + m119 + m121 - m125 + m127",
"c41 = -m2 + m7 + m9 + m26 + m31 + m35 + m38 + m39 - m40 + m47 + m49 - m53 - m54 - m56 + m65 - m66 + m75 + m77 + m86 + m88 - m95 + m105 - m112 - m117 - m126 - m128",
"c42 = -m1 + m8 - m13 - m25 - m28 + m31 - m33 + m34 + m44 + m55 + m62 + m75 - m83 + m89 - m96 + m105 + m116 + m122 - m123 - m128 - m129",
"c43 = m2 + m4 + m5 - m11 - m16 + m19 - m21 - m26 - m31 - m43 - m47 + m53 + m56 + m63 - m65 + m66 - m71 - m75 - m86 - m88 - m94 - m105 - m108 + m128",
"c44 = -m12 - m25 - m29 + m31 - m33 + m34 - m48 - m56 - m66 + m75 + m85 + m88 - m101 + m105 + m110 + m122 - m128 - m129",
"c45 = -m12 - m25 - m26 - m29 - m47 - m59 + m76 - m101 + m110 + m122 - m129",
"c46 = -m2 - m4 - m5 - m10 + m11 + m14 + m16 - m19 + m21 - m30 + m31 - m32 - m37 - m42 + m43 - m63 + m65 + m70 + m71 + m73 + m94 + m108 - m130",
"c51 = -m7 + m22 - m26 - m35 + m36 + m40 - m47 + m54 + m56 + m66 - m77 - m88 + m99 - m103 - m109 + m111 + m112 + m126 + m128",
"c52 = m1 - m6 - m7 - m8 + m13 + m25 + m28 - m31 - m41 - m44 - m45 - m55 - m62 - m75 + m83 + m84 - m89 - m105 + m113 + m115 - m116 - m122 + m123 + m126 + m128 + m129",
"c53 = -m4 - m5 - m9 + m11 + m16 - m19 + m21 - m22 - m23 + m26 - m36 - m38 + m43 + m47 - m51 - m56 - m63 - m66 + m67 + m69 + m71 + m88 - m93 + m94 + m95 + m103 + m108 + m109 + m117 + m120 - m128",
"c54 = -m6 - m7 + m12 - m15 + m25 + m28 + m29 - m31 - m41 - m45 + m56 + m60 - m62 + m66 - m75 - m77 + m84 - m88 - m89 + m99 + m101 - m105 - m110 + m112 + m113 + m115 - m122 + m124 + m126 + m128 + m129",
"c55 = m12 + m17 + m26 + m29 + m35 - m36 - m40 + m47 - m64 + m92 + m101 - m110 - m111",
"c56 = m4 + m5 + m9 + m10 - m11 - m14 - m16 + m19 - m21 + m22 + m23 + m30 + m32 + m37 + m42 - m43 - m46 + m63 - m67 - m69 - m70 - m71 - m73 + m93 - m94 - m95 - m108 - m120 + m121 + m127 + m130"
],
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],
"invariant_f": "300x^2y^2z^2 + 2x^2y^2z + 2x^2yz^2 + 2xy^2z^2 + 96x^2yz + 96xy^2z + 96xyz^2 + 186xyz",
"invariant_g": "w^199 + w^198 + w^193",
"type": "50X^2Y^2Z^2 + X^2Y^2Z + 17X^2YZ + 18XY^2Z + 13XYZ^2 + 31XYZ"
}