Magma V2.19-8 Tue Aug 20 2013 23:41:55 on localhost [Seed = 2716320993] Type ? for help. Type -D to quit. Loading file "L12n46__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n46 geometric_solution 10.21560566 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071193690391 0.833073786806 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -2 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 -1 1 0 0 0 0 1 0 0 -1 -1 9 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 1.000000000000 7 0 4 8 0132 0132 2103 0132 1 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 0 0 0 0 0 0 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 0.101839048370 1.191670795605 8 5 9 0 0132 1230 0132 0132 1 1 0 1 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 -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 -0.071193690391 0.833073786806 2 9 0 10 2103 3012 0132 0132 1 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 0 0 0 0 0 0 0 0 0 -1 1 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 0.806693095032 1.070312175810 7 1 3 6 1023 0132 3012 0213 1 1 1 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 1 0 -1 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 7 8 1 5 2103 2103 0132 0213 1 1 1 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 1 -1 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 1.000000000000 1.000000000000 2 5 6 1 0132 1023 2103 0132 1 1 1 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 -1 0 1 1 0 -1 0 0 -8 0 8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 3 6 2 9 0132 2103 0132 0321 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 0 0 0 0 0 0 0 0 0 0 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 0.101839048370 1.191670795605 4 8 10 3 1230 0321 0132 0132 1 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 0 0 0 0 0 0 0 0 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 0.806693095032 1.070312175810 10 10 4 9 1230 3012 0132 0132 1 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 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 0.346065477523 0.717194017597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0110_5'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_1001_3']), 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : 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_4']), '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_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : 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_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_5'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 256/735*c_1100_0^3 + 64/105*c_1100_0^2 - 2272/735*c_1100_0 - 272/105, c_0011_0 - 1, c_0011_10 + 12/35*c_1100_0^3 + 19/35*c_1100_0, c_0011_3 + 1, c_0011_4 - 2/5*c_1100_0^2 - 3/10, c_0011_6 - 8/35*c_1100_0^3 - 36/35*c_1100_0, c_0101_0 - 8/35*c_1100_0^3 - 36/35*c_1100_0, c_0101_1 - 1, c_0101_10 + 16/35*c_1100_0^3 + 37/35*c_1100_0, c_0110_5 + 4/35*c_1100_0^3 + 18/35*c_1100_0 + 1/2, c_1001_3 - 1, c_1100_0^4 + 11/4*c_1100_0^2 + 49/16 ], 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_5, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 9759/5650*c_1100_0^5 + 1361/565*c_1100_0^4 - 30949/22600*c_1100_0^3 + 4331/2260*c_1100_0^2 - 532479/90400*c_1100_0 + 71281/9040, c_0011_0 - 1, c_0011_10 + 32/565*c_1100_0^5 - 212/565*c_1100_0^3 - 393/565*c_1100_0, c_0011_3 - 1, c_0011_4 + 8/113*c_1100_0^4 + 60/113*c_1100_0^2 + 43/113, c_0011_6 - 56/565*c_1100_0^5 - 194/565*c_1100_0^3 - 1167/1130*c_1100_0, c_0101_0 + 56/565*c_1100_0^5 + 194/565*c_1100_0^3 + 1167/1130*c_1100_0, c_0101_1 - 1, c_0101_10 + 112/565*c_1100_0^5 + 388/565*c_1100_0^3 + 602/565*c_1100_0, c_0110_5 + 28/565*c_1100_0^5 + 97/565*c_1100_0^3 + 1167/2260*c_1100_0 - 1/2, c_1001_3 - 1, c_1100_0^6 + 11/4*c_1100_0^4 + 81/16*c_1100_0^2 + 25/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB