Magma V2.19-8 Tue Aug 20 2013 23:42:14 on localhost [Seed = 2867646457] Type ? for help. Type -D to quit. Loading file "K12n809__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n809 geometric_solution 11.43931112 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -1 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 0 0 0 5 0 -5 5 0 -1 -4 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364488331679 0.813920064639 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -5 0 5 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 7 0 6 5 0132 0132 3201 0132 0 0 0 0 0 1 -1 0 1 0 0 -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 -5 4 1 -5 0 0 5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 4 8 9 0 1302 0132 0132 0132 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 -1 0 0 1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.539717422768 1.079728047529 6 3 0 10 3201 2031 0132 0132 0 0 0 0 0 1 -1 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 -5 5 0 -4 0 4 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 0.460282577232 1.079728047529 11 1 2 9 0132 0132 0132 0321 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -5 5 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 2 8 1 4 2310 0213 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -4 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370130876122 1.136597273019 2 11 9 1 0132 0132 2103 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 1 -1 5 0 0 -5 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575772326619 0.888710619667 10 3 6 11 1230 0132 0213 0132 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 0 0 0 -4 0 4 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 -0.539717422768 1.079728047529 7 5 10 3 2103 0321 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 0 0 0 0 0 0 -1 1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373015174202 0.673104957396 11 8 4 9 3120 3012 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 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665898457074 0.783733350913 5 7 8 10 0132 0132 0132 3120 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 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364488331679 0.813920064639 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_1']), 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], '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_10']), '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' : d['c_0011_6'], '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_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_10'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 239/4*c_1001_1*c_1100_0^2 + 543/4*c_1001_1*c_1100_0 + 35/4*c_1001_1 - 65/4*c_1100_0^2 - 35/4*c_1100_0 + 239/4, c_0011_0 - 1, c_0011_10 - c_1100_0^2 - c_1100_0, c_0011_3 - c_1001_1 + c_1100_0^2 + 1, c_0011_4 + c_1001_1*c_1100_0^2 + c_1001_1*c_1100_0 - c_1100_0^2, c_0011_6 + c_1001_1*c_1100_0^2 + c_1001_1*c_1100_0 - c_1100_0^2, c_0101_0 + c_1100_0^2 + c_1100_0, c_0101_1 + c_1001_1 - c_1100_0^2 - c_1100_0 - 1, c_0101_10 - c_1100_0, c_0101_5 - c_1001_1 + c_1100_0^2 + c_1100_0 + 1, c_1001_0 + c_1001_1, c_1001_1^2 - c_1001_1*c_1100_0^2 - c_1001_1*c_1100_0 - c_1001_1 + c_1100_0^2, c_1100_0^3 + 2*c_1100_0^2 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6940/12789*c_1001_1*c_1100_0^3 + 1975/882*c_1001_1*c_1100_0^2 + 7057/4263*c_1001_1*c_1100_0 + 7291/4263*c_1001_1 - 405/2842*c_1100_0^3 - 5875/25578*c_1100_0^2 + 70457/25578*c_1100_0 - 10249/4263, c_0011_0 - 1, c_0011_10 - 50/147*c_1100_0^3 - 30/49*c_1100_0^2 - 253/147*c_1100_0 + 43/49, c_0011_3 - 10/49*c_1001_1*c_1100_0^3 - 5/147*c_1001_1*c_1100_0^2 - 44/147*c_1001_1*c_1100_0 + 16/49*c_1001_1 - 5/147*c_1100_0^3 - 58/147*c_1100_0^2 - 89/147*c_1100_0 - 30/49, c_0011_4 - 25/147*c_1001_1*c_1100_0^3 - 15/49*c_1001_1*c_1100_0^2 - 53/147*c_1001_1*c_1100_0 - 3/49*c_1001_1 - 10/147*c_1100_0^3 - 67/147*c_1100_0^2 - 43/49*c_1100_0 - 11/49, c_0011_6 - 25/147*c_1001_1*c_1100_0^3 - 15/49*c_1001_1*c_1100_0^2 - 53/147*c_1001_1*c_1100_0 - 3/49*c_1001_1 + 5/21*c_1100_0^3 + 3/7*c_1100_0^2 + 19/21*c_1100_0 + 2/7, c_0101_0 - 25/147*c_1100_0^3 - 15/49*c_1100_0^2 - 53/147*c_1100_0 - 3/49, c_0101_1 - 40/147*c_1001_1*c_1100_0^3 + 25/49*c_1001_1*c_1100_0^2 - 26/147*c_1001_1*c_1100_0 + 5/49*c_1001_1 - 10/147*c_1100_0^3 - 55/49*c_1100_0^2 - 80/147*c_1100_0 - 60/49, c_0101_10 - 25/49*c_1100_0^3 - 45/49*c_1100_0^2 - 151/49*c_1100_0 + 40/49, c_0101_5 - c_1001_1 + 5/147*c_1100_0^3 - 40/147*c_1100_0^2 - 3/49*c_1100_0 - 19/49, c_1001_0 - 40/147*c_1001_1*c_1100_0^3 + 25/49*c_1001_1*c_1100_0^2 - 26/147*c_1001_1*c_1100_0 + 5/49*c_1001_1 + 10/147*c_1100_0^3 - 80/147*c_1100_0^2 + 43/49*c_1100_0 + 11/49, c_1001_1^2 - 5/147*c_1001_1*c_1100_0^3 + 40/147*c_1001_1*c_1100_0^2 + 3/49*c_1001_1*c_1100_0 + 19/49*c_1001_1 - 5/147*c_1100_0^3 - 58/147*c_1100_0^2 - 89/147*c_1100_0 - 79/49, c_1100_0^4 + 2*c_1100_0^3 + 32/5*c_1100_0^2 + 18/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.890 Total time: 3.100 seconds, Total memory usage: 32.09MB