Magma V2.19-8 Tue Aug 20 2013 23:51:50 on localhost [Seed = 1410482006] Type ? for help. Type -D to quit. Loading file "L13n10854__sl2_c15.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10854 geometric_solution 11.42277152 oriented_manifold CS_known 0.0000000000000000 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 2 2 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 -1 0 1 0 0 1 -1 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514911831730 0.700420493333 0 5 6 6 0132 0132 0213 0132 3 1 2 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 2 0 -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 0.551058769357 1.136109137061 7 0 8 8 0132 0132 2103 0132 1 0 2 2 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 1 0 -1 -1 0 1 0 0 3 0 -3 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424926346764 0.805828646735 7 7 8 0 2031 0321 2031 0132 1 1 2 0 0 0 0 0 0 0 0 0 0 1 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 0 1 -1 1 2 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424926346764 0.805828646735 9 10 0 9 0132 0132 0132 1302 1 1 1 2 0 1 0 -1 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 2 -1 -1 1 0 1 -2 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.551058769357 1.136109137061 11 1 10 10 0132 0132 1302 1023 3 1 2 2 0 -1 0 1 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 -2 1 1 0 0 2 -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 0.551058769357 1.136109137061 9 1 1 10 3012 0213 0132 1302 3 1 1 2 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 2 -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 0.300840030309 0.761318150124 2 11 3 3 0132 0132 1302 0321 1 0 2 2 0 0 0 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 0 0 0 1 0 -1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424926346764 0.805828646735 2 11 2 3 2103 0213 0132 1302 1 0 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 1 -1 -1 0 0 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487992558061 0.970968891898 4 11 4 6 0132 0321 2031 1230 1 1 2 1 0 0 0 0 -1 0 1 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 1 0 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.345619294725 0.712557825982 5 4 6 5 2031 0132 2031 1023 1 3 2 1 0 -1 0 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 -2 0 2 -1 0 2 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300840030309 0.761318150124 5 7 8 9 0132 0132 0213 0321 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514911831730 0.700420493333 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0110_10'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_0101_9']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_6'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : d['c_0101_3'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_10'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0101_9']), '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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0101_9, c_0110_10, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 243/4*c_1001_0, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_0 - 1, c_0011_3 + 1, c_0011_6 + 1/2*c_1001_0 - 1, c_0011_8 + 1, c_0101_0 - 1, c_0101_10 - 1/2*c_1001_0, c_0101_3 + c_1001_0 - 1, c_0101_9 - 1/3, c_0110_10 - 1, c_0110_6 - 1/2*c_1001_0 + 1/3, c_1001_0^2 - 2*c_1001_0 + 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB