Magma V2.19-8 Tue Aug 20 2013 23:53:58 on localhost [Seed = 2412373022] Type ? for help. Type -D to quit. Loading file "L13n7847__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7847 geometric_solution 10.66697913 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 0321 0132 1 2 2 2 0 0 0 0 0 0 -1 1 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 0 0 2 -2 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 0 3 5 4 0132 2031 0132 0132 2 2 2 2 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 0 0 0 0 0 0 0 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.472455591262 5 0 0 6 0321 0132 0321 0132 1 2 2 2 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -1 1 2 0 0 -2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 1 7 0 7 1302 0132 0132 0213 1 2 2 2 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 -1 1 -2 0 2 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 0.000000000000 0.755928946018 8 7 1 9 0132 3012 0132 0132 2 2 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 0.522727272727 0.300653558076 2 10 8 1 0321 0132 0132 0132 2 2 2 2 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 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456521739130 0.632679661342 8 9 2 9 2310 2103 0132 2310 1 2 2 2 0 -1 0 1 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 1 -1 0 0 -1 1 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 4 3 9 3 1230 0132 2031 0213 1 2 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 1 -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 -0.000000000000 0.755928946018 4 11 6 5 0132 0132 3201 0132 2 2 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 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 1.109375000000 0.454738506589 6 6 4 7 3201 2103 0132 1302 2 2 1 2 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 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 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 11 5 11 11 3120 0132 2103 0132 2 0 2 2 0 0 0 0 -1 0 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 -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 1.000000000000 1.511857892037 10 8 10 10 2103 0132 0132 3120 2 0 2 2 0 0 0 0 -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 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 0.695652173913 0.460130662794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_8']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0110_9']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0110_9']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_9']), 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_9'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), '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_10'], 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_11'], 'c_0011_10' : d['c_0011_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_11, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_8, c_0110_9, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 5433/56672*c_1001_2 - 5371/56672, c_0011_0 - 1, c_0011_10 - 2*c_1001_2 + 1, c_0011_11 + 3/2*c_1001_2 + 5/4, c_0011_3 + 1/2*c_1001_2 + 7/4, c_0011_6 + 3/2*c_1001_2 + 1/4, c_0011_9 - 1, c_0101_0 + 2*c_1001_2, c_0101_10 - 1, c_0101_8 - 1/2*c_1001_2 + 5/4, c_0110_9 - c_1001_2 - 1/2, c_1001_11 + 7/2*c_1001_2 + 1/4, c_1001_2^2 + 1/2*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB