Magma V2.19-8 Tue Aug 20 2013 23:41:27 on localhost [Seed = 1478376676] Type ? for help. Type -D to quit. Loading file "K12n576__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n576 geometric_solution 10.44753982 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 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 0.140385447290 1.812397871731 0 5 2 6 0132 0132 0321 0132 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 -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 0.333457822224 0.137120469337 7 0 1 8 0132 0132 0321 0132 0 0 0 0 0 0 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 1 -1 0 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356384775261 0.643958003450 6 9 10 0 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660637669608 0.658766809061 11 8 0 7 0132 0132 0132 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 0 0 0 0 0 0 0 1 0 0 -1 -18 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.223551960767 0.776861562480 11 1 6 8 2031 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 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 0 0 -19 0 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.343095170350 1.443340057902 3 9 1 5 0132 1302 0132 0132 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 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 0.832084160172 0.728247693220 2 4 10 9 0132 0321 0321 0132 0 0 0 0 0 0 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 0 0 -19 0 0 19 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896225090086 0.653795804346 11 4 2 5 1230 0132 0132 0213 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 19 -19 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692646080328 0.812917202778 10 3 7 6 1302 0132 0132 2031 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 0 0 0 0 0 -1 0 1 18 0 -19 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934263809137 0.967106146862 11 9 7 3 3012 2031 0321 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 0 0 0 0 0 1 0 -1 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601011600306 1.064371833394 4 8 5 10 0132 3012 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 18 0 0 -18 -1 -18 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240667073964 1.732510342835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_1'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_1001_2'], '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_9' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_10, c_0101_3, c_0110_9, c_1001_0, c_1001_1, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 407936/441*c_1001_7^3 - 352768/441*c_1001_7^2 + 10496/9*c_1001_7 - 110144/147, c_0011_0 - 1, c_0011_10 - c_1001_7 + 1, c_0011_11 + 2*c_1001_7^3 - 2*c_1001_7^2 + 4*c_1001_7 - 2, c_0011_3 + 4*c_1001_7^3 - 4*c_1001_7^2 + 5*c_1001_7 - 2, c_0101_0 + 2*c_1001_7^3 - 2*c_1001_7^2 + c_1001_7, c_0101_10 - 2*c_1001_7^3 - 3*c_1001_7 + 1, c_0101_3 + 4*c_1001_7^3 - 2*c_1001_7^2 + 3*c_1001_7 - 1, c_0110_9 - 2*c_1001_7^3 - 2*c_1001_7 + 1, c_1001_0 - 2*c_1001_7^3 + 2*c_1001_7^2 - 4*c_1001_7 + 1, c_1001_1 + 2*c_1001_7^3 - 2*c_1001_7^2 + 3*c_1001_7 - 1, c_1001_2 - 2*c_1001_7^3 + 2*c_1001_7^2 - 3*c_1001_7 + 1, c_1001_7^4 - c_1001_7^3 + 3/2*c_1001_7^2 - c_1001_7 + 1/4 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_10, c_0101_3, c_0110_9, c_1001_0, c_1001_1, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2176/11*c_1001_7^3 + 5376/11*c_1001_7^2 + 3008/11*c_1001_7 + 1536/11, c_0011_0 - 1, c_0011_10 + c_1001_7 + 1, c_0011_11 - 2*c_1001_7^3 - 6*c_1001_7^2 - 5*c_1001_7 - 2, c_0011_3 + c_1001_7, c_0101_0 + 2*c_1001_7^3 + 6*c_1001_7^2 + 4*c_1001_7 + 2, c_0101_10 - 2*c_1001_7^3 - 4*c_1001_7^2, c_0101_3 + 4*c_1001_7^3 + 10*c_1001_7^2 + 5*c_1001_7 + 2, c_0110_9 + 2*c_1001_7^3 + 4*c_1001_7^2 + c_1001_7, c_1001_0 - 2*c_1001_7^3 - 6*c_1001_7^2 - 5*c_1001_7 - 1, c_1001_1 + 2*c_1001_7^3 + 6*c_1001_7^2 + 4*c_1001_7 + 1, c_1001_2 - 2*c_1001_7^3 - 6*c_1001_7^2 - 4*c_1001_7 - 1, c_1001_7^4 + 3*c_1001_7^3 + 5/2*c_1001_7^2 + c_1001_7 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.780 seconds, Total memory usage: 32.09MB