Magma V2.19-8 Tue Aug 20 2013 23:48:01 on localhost [Seed = 947802747] Type ? for help. Type -D to quit. Loading file "L11n321__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n321 geometric_solution 11.76223429 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 1 1 2 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 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 0.436876082674 0.585670962710 0 5 6 5 0132 0132 0132 0213 0 1 2 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 0 0 0 0 0 0 1 -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 0.524546974984 1.045689690599 6 0 6 5 2031 0132 3012 3012 2 0 2 1 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 1 -1 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524546974984 1.045689690599 7 8 9 0 0132 0132 0132 0132 2 1 2 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 -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 0.644543559110 0.867028534226 8 9 0 7 0132 0132 0132 0132 2 1 2 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 -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 0 0 0 0.644543559110 0.867028534226 8 1 2 1 2310 0132 1230 0213 0 2 1 2 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 0 -1 1 -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 0.524546974984 1.045689690599 8 2 2 1 3120 1230 1302 0132 0 1 1 2 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 1 0 -1 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 0.616731939820 0.764048747547 3 10 4 11 0132 0132 0132 0132 2 1 1 2 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 -1 0 0 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260972403623 0.813128634988 4 3 5 6 0132 0132 3201 3120 2 1 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436876082674 0.585670962710 10 4 11 3 0132 0132 0132 0132 2 1 1 2 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 1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260972403623 0.813128634988 9 7 11 11 0132 0132 2103 0321 2 1 2 1 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 -1 1 0 1 0 0 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909258225057 1.326072628783 10 10 7 9 2103 0321 0132 0132 2 1 2 1 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 -1 -1 0 2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909258225057 1.326072628783 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_2']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_0'])})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0110_2, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3145728/189875*c_1100_0^5 + 168738816/189875*c_1100_0^4 + 102580224/189875*c_1100_0^3 + 100642816/189875*c_1100_0^2 + 5971968/37975*c_1100_0 + 4529152/37975, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 - 192/31*c_1100_0^5 - 24/31*c_1100_0^4 - 32/31*c_1100_0^3 + 28/31*c_1100_0^2 - 22/31*c_1100_0 + 24/31, c_0011_6 + 48/31*c_1100_0^5 - 56/31*c_1100_0^4 + 8/31*c_1100_0^3 - 38/31*c_1100_0^2 + 21/31*c_1100_0 - 43/62, c_0101_0 - 48/31*c_1100_0^5 + 56/31*c_1100_0^4 - 8/31*c_1100_0^3 + 38/31*c_1100_0^2 - 21/31*c_1100_0 + 43/62, c_0101_1 - 1, c_0101_10 - 2368/155*c_1100_0^5 - 544/155*c_1100_0^4 - 1056/155*c_1100_0^3 + 56/155*c_1100_0^2 - 46/31*c_1100_0 + 53/31, c_0101_2 - 1, c_0101_5 + 48/31*c_1100_0^5 - 56/31*c_1100_0^4 + 8/31*c_1100_0^3 - 38/31*c_1100_0^2 + 73/62*c_1100_0 - 6/31, c_0110_2 - 48/31*c_1100_0^5 + 56/31*c_1100_0^4 - 8/31*c_1100_0^3 + 38/31*c_1100_0^2 - 21/31*c_1100_0 - 19/62, c_1001_7 + 48/31*c_1100_0^5 - 56/31*c_1100_0^4 + 8/31*c_1100_0^3 - 7/31*c_1100_0^2 + 11/62*c_1100_0 - 6/31, c_1100_0^6 - 1/2*c_1100_0^5 + 1/4*c_1100_0^4 - 1/4*c_1100_0^3 + 1/8*c_1100_0^2 - 5/32*c_1100_0 + 5/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB