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Loading file "K12n488__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n488 geometric_solution 8.01095275 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466031066064 0.934277856499 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.499448023443 0.210891022399 7 0 1 4 0132 0132 1023 0321 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.235809942601 0.801259476901 6 5 8 0 0132 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839901817790 0.780752170855 6 2 0 5 3120 0321 0132 3012 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122800257149 1.062115619228 3 1 4 7 1230 0132 1230 1023 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 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 0 0 0 0 0 0 0 0 0 0 0 0.587734763200 1.045653168584 3 8 1 4 0132 1230 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 1.187123972238 0.619424999516 2 8 8 5 0132 3120 2103 1023 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587734763200 1.045653168584 7 7 6 3 2103 3120 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 -2 2 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591516895824 0.726742195526 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_1'], 'c_1001_8' : d['c_0011_3'], 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_1001_5']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 64544/1835*c_1001_5^8 + 99724/1835*c_1001_5^7 - 25588/1835*c_1001_5^6 + 43119/1835*c_1001_5^5 + 126534/1835*c_1001_5^4 + 17538/367*c_1001_5^3 - 7530/367*c_1001_5^2 + 68587/1835*c_1001_5 + 31706/1835, c_0011_0 - 1, c_0011_3 + 356/367*c_1001_5^8 + 864/367*c_1001_5^7 + 161/367*c_1001_5^6 - 601/367*c_1001_5^5 + 142/367*c_1001_5^4 + 874/367*c_1001_5^3 - 233/367*c_1001_5^2 - 606/367*c_1001_5 + 33/367, c_0011_4 + 612/367*c_1001_5^8 + 908/367*c_1001_5^7 - 383/367*c_1001_5^6 + 274/367*c_1001_5^5 + 941/367*c_1001_5^4 + 385/367*c_1001_5^3 - 549/367*c_1001_5^2 + 352/367*c_1001_5 - 1/367, c_0101_0 - 484/367*c_1001_5^8 - 152/367*c_1001_5^7 + 1579/367*c_1001_5^6 + 347/367*c_1001_5^5 - 725/367*c_1001_5^4 - 79/367*c_1001_5^3 + 1492/367*c_1001_5^2 - 240/367*c_1001_5 - 16/367, c_0101_1 - 1092/367*c_1001_5^8 - 1908/367*c_1001_5^7 - 65/367*c_1001_5^6 - 676/367*c_1001_5^5 - 1751/367*c_1001_5^4 - 1716/367*c_1001_5^3 + 224/367*c_1001_5^2 - 772/367*c_1001_5 - 394/367, c_0101_2 - c_1001_5, c_0101_3 - 612/367*c_1001_5^8 - 908/367*c_1001_5^7 + 383/367*c_1001_5^6 - 274/367*c_1001_5^5 - 941/367*c_1001_5^4 - 385/367*c_1001_5^3 + 549/367*c_1001_5^2 - 352/367*c_1001_5 + 1/367, c_0101_5 + 352/367*c_1001_5^8 + 244/367*c_1001_5^7 - 748/367*c_1001_5^6 - 219/367*c_1001_5^5 - 140/367*c_1001_5^4 - 76/367*c_1001_5^3 - 618/367*c_1001_5^2 - 59/367*c_1001_5 - 322/367, c_1001_5^9 + 2*c_1001_5^8 + 1/4*c_1001_5^7 + 1/4*c_1001_5^6 + 2*c_1001_5^5 + 9/4*c_1001_5^4 + 1/2*c_1001_5^2 + 3/4*c_1001_5 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB