Magma V2.19-8 Tue Aug 20 2013 23:45:26 on localhost [Seed = 172781505] Type ? for help. Type -D to quit. Loading file "L9a49__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a49 geometric_solution 10.56280631 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 0321 0 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 1 0 -1 -1 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 0.616566519498 0.713951871152 0 4 6 5 0132 0132 0132 0132 1 1 2 2 0 0 -1 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 0 1 -1 1 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 0.902802197444 0.775607087240 7 0 5 5 0132 0132 2103 2031 0 1 2 2 0 0 -1 1 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 -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 0.616566519498 0.713951871152 7 0 5 0 3120 0321 2031 0132 0 1 2 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 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 0.307136414529 0.802299894102 8 1 7 9 0132 0132 1023 0132 1 1 2 2 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705900289293 0.900460259446 2 2 1 3 2103 1302 0132 1302 1 1 0 2 0 0 -1 1 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 1 -1 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 0.616566519498 0.713951871152 7 8 10 1 1023 0132 0132 0132 1 1 2 2 0 -1 0 1 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 1 0 -1 0 0 -1 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 0.705900289293 0.900460259446 2 6 4 3 0132 1023 1023 3120 1 1 2 2 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 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 0.902802197444 0.775607087240 4 6 9 10 0132 0132 0213 3120 1 1 2 2 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 -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 0.141627867976 0.589162662309 10 8 4 10 1302 0213 0132 0132 1 1 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 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 0.611381351598 0.481829107782 8 9 9 6 3120 2031 0132 0132 1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611381351598 0.481829107782 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_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_10' : d['c_0101_4'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_0101_7, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1096589/176*c_1001_1^5 + 9197363/1760*c_1001_1^4 + 443935/352*c_1001_1^3 - 14316087/7040*c_1001_1^2 + 887023/1280*c_1001_1 - 2264841/28160, c_0011_0 - 1, c_0011_10 - 32/11*c_1001_1^5 - 56/11*c_1001_1^4 - 48/11*c_1001_1^3 - 4/11*c_1001_1^2 + 3/11, c_0011_3 - 16/11*c_1001_1^5 + 16/11*c_1001_1^4 + 20/11*c_1001_1^3 + 20/11*c_1001_1^2 - c_1001_1 - 4/11, c_0011_5 - 1, c_0101_0 - 1, c_0101_10 + 48/11*c_1001_1^5 + 40/11*c_1001_1^4 + 6/11*c_1001_1^3 - 27/11*c_1001_1^2 + 1/2*c_1001_1 - 9/22, c_0101_3 - 16/11*c_1001_1^5 + 16/11*c_1001_1^4 + 20/11*c_1001_1^3 + 20/11*c_1001_1^2 - 1/2*c_1001_1 + 3/22, c_0101_4 - c_1001_1, c_0101_7 - 16/11*c_1001_1^5 + 16/11*c_1001_1^4 + 20/11*c_1001_1^3 + 20/11*c_1001_1^2 - c_1001_1 - 4/11, c_0110_5 - 16/11*c_1001_1^5 + 16/11*c_1001_1^4 + 20/11*c_1001_1^3 + 20/11*c_1001_1^2 - c_1001_1 + 7/11, c_1001_1^6 + 1/2*c_1001_1^5 - 3/8*c_1001_1^3 + 3/16*c_1001_1^2 - 3/32*c_1001_1 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB