Magma V2.19-8 Tue Aug 20 2013 23:44:41 on localhost [Seed = 1014651266] Type ? for help. Type -D to quit. Loading file "L14n434__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n434 geometric_solution 10.94732545 oriented_manifold CS_known -0.0000000000000002 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 -1 1 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 8 0 9 5 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 -1 1 1 -1 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 0 0 10 -10 -1 1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485850514598 0.752879045805 8 6 5 0 2031 0132 2031 0132 1 1 0 1 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 0 1 -1 0 0 0 0 1 0 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618580354334 0.905799189045 8 7 0 9 3012 0213 0132 3012 1 1 1 1 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 0 0 0 0 0 -1 1 9 -9 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669223864923 0.731573343669 10 1 2 3 0132 0132 0132 1302 1 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 0 0 0 0 0 0 0 -10 0 10 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 0.485850514598 0.752879045805 10 3 1 9 3012 0132 0132 3120 1 1 1 0 0 0 0 0 0 0 -1 1 0 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 10 -10 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 10 9 4 1 2031 0132 0213 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 9 -9 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319244226594 0.744179643728 2 10 3 4 0132 0132 1302 1230 1 1 1 0 0 0 0 0 0 0 -1 1 1 0 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 9 -9 -9 -1 0 10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 6 7 4 2 3120 0132 1230 0132 1 1 1 1 0 0 0 0 -1 0 0 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 -1 1 10 0 0 -10 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058633069799 1.042480828736 5 8 7 6 0132 0132 1302 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 10 0 -10 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 0.618580354334 0.905799189045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_0'], 'c_1010_10' : d['c_0101_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0101_3'], 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_7']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_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' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_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' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_9, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2048/209*c_1001_2^3 + 2560/209*c_1001_2^2 - 512/209*c_1001_2 + 4736/209, c_0011_0 - 1, c_0011_3 - 4/7*c_1001_2^3 - 2/7*c_1001_2^2 - 1/7*c_1001_2 + 2/7, c_0011_4 + 8/21*c_1001_2^3 - 10/21*c_1001_2^2 + 2/21*c_1001_2 - 4/21, c_0011_7 - 4/21*c_1001_2^3 - 16/21*c_1001_2^2 - 1/21*c_1001_2 + 2/21, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 - 20/21*c_1001_2^3 + 4/21*c_1001_2^2 - 5/21*c_1001_2 + 10/21, c_0101_9 + 16/21*c_1001_2^3 - 20/21*c_1001_2^2 + 25/21*c_1001_2 - 29/21, c_1001_0 + 8/21*c_1001_2^3 - 10/21*c_1001_2^2 + 23/21*c_1001_2 - 29/42, c_1001_1 + 8/21*c_1001_2^3 - 10/21*c_1001_2^2 + 2/21*c_1001_2 - 29/42, c_1001_2^4 - c_1001_2^3 + 5/4*c_1001_2^2 - 7/4*c_1001_2 + 19/16 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0101_9, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 795*c_1001_2^4 + 285*c_1001_2^3 - 1789/4*c_1001_2^2 + 2569/2*c_1001_2 - 3603/16, c_0011_0 - 1, c_0011_3 - 80/17*c_1001_2^4 - 4/17*c_1001_2^3 - 50/17*c_1001_2^2 + 89/17*c_1001_2 + 2/17, c_0011_4 + 48/17*c_1001_2^4 + 16/17*c_1001_2^3 + 30/17*c_1001_2^2 - 50/17*c_1001_2 - 8/17, c_0011_7 + 32/17*c_1001_2^4 - 12/17*c_1001_2^3 + 20/17*c_1001_2^2 - 39/17*c_1001_2 + 6/17, c_0101_0 + 1, c_0101_1 - 1, c_0101_3 - 32/17*c_1001_2^4 + 12/17*c_1001_2^3 - 20/17*c_1001_2^2 + 39/17*c_1001_2 - 6/17, c_0101_9 - c_1001_2, c_1001_0 + 24/17*c_1001_2^4 + 8/17*c_1001_2^3 + 32/17*c_1001_2^2 - 25/17*c_1001_2 - 4/17, c_1001_1 + 24/17*c_1001_2^4 + 8/17*c_1001_2^3 + 32/17*c_1001_2^2 - 8/17*c_1001_2 - 4/17, c_1001_2^5 + 3/4*c_1001_2^3 - 5/4*c_1001_2^2 + 1/16*c_1001_2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB