Magma V2.19-8 Tue Aug 20 2013 23:44:03 on localhost [Seed = 3769009419] Type ? for help. Type -D to quit. Loading file "L14n1618__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1618 geometric_solution 10.94732545 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 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 1 0 -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 0.618580354334 0.905799189045 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 11 -11 0 0 0 0 0 -10 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485850514598 0.752879045805 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 -1 1 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 11 -10 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 0.394863517663 0.937725830713 8 5 6 0 3120 1230 1230 0132 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 0 0 -11 11 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 9 5 0 7 0132 1302 0132 1302 1 1 1 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 0 1 -1 0 0 0 0 -10 10 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 10 1 3 4 0132 0132 3012 2031 1 1 0 1 0 0 -1 1 0 0 0 0 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 10 -10 0 0 0 0 0 -1 0 1 1 10 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 8 9 1 3 0132 0213 0132 3012 1 1 1 1 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 -11 11 0 0 0 0 0 -1 1 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058633069799 1.042480828736 2 10 4 1 0132 0132 2031 0132 1 1 0 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 0 0 0 0 0 0 0 0 11 0 -11 -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 0.485850514598 0.752879045805 6 10 2 3 0132 1302 0132 3120 1 1 1 1 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 10 -10 0 0 0 0 0 -11 0 11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319244226594 0.744179643728 4 10 6 2 0132 1230 0213 0132 1 1 0 1 0 0 -1 1 0 0 0 0 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 11 -11 0 0 -1 1 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394863517663 0.937725830713 5 7 9 8 0132 0132 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 -11 0 11 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 0.618580354334 0.905799189045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_6']), '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' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : d['c_0011_3'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_3']), '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' : 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' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_6']), '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_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_6'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], '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_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1625/282*c_1001_3^3 + 8577/9823*c_1001_3^2 - 48214/29469*c_1001_3 - 705839/58938, c_0011_0 - 1, c_0011_3 + 247/282*c_1001_3^3 + 43/94*c_1001_3^2 + 205/282*c_1001_3 + 14/141, c_0011_4 - 171/188*c_1001_3^3 - 79/94*c_1001_3^2 - 127/94*c_1001_3 - 117/188, c_0011_6 + 247/141*c_1001_3^3 + 43/47*c_1001_3^2 + 64/141*c_1001_3 + 28/141, c_0101_0 - 1, c_0101_1 - 703/564*c_1001_3^3 + 15/188*c_1001_3^2 - 193/564*c_1001_3 - 29/282, c_0101_10 - 1, c_0101_3 + 266/141*c_1001_3^3 + 115/47*c_1001_3^2 + 275/141*c_1001_3 + 182/141, c_0101_5 - 19/141*c_1001_3^3 - 72/47*c_1001_3^2 - 70/141*c_1001_3 - 13/141, c_0101_7 - 133/141*c_1001_3^3 - 115/94*c_1001_3^2 - 275/282*c_1001_3 - 41/282, c_1001_3^4 + 26/19*c_1001_3^3 + 25/19*c_1001_3^2 + 18/19*c_1001_3 + 11/19 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_0101_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 269/16*c_1001_3^4 + 377/8*c_1001_3^3 + 123/16*c_1001_3^2 - 951/8*c_1001_3 + 1173/16, c_0011_0 - 1, c_0011_3 - 1/2*c_1001_3^3 - c_1001_3^2 + 1/2, c_0011_4 - 1/4*c_1001_3^4 - c_1001_3^3 - c_1001_3^2 + 3/4*c_1001_3, c_0011_6 + c_1001_3, c_0101_0 - 1, c_0101_1 - 1/4*c_1001_3^3 - c_1001_3^2 - c_1001_3 + 3/4, c_0101_10 + 1, c_0101_3 - 1, c_0101_5 - c_1001_3^2 - c_1001_3 + 1, c_0101_7 - 1/2*c_1001_3^4 - 3/2*c_1001_3^3 - c_1001_3^2 + 5/2*c_1001_3 - 3/2, c_1001_3^5 + 3*c_1001_3^4 + c_1001_3^3 - 7*c_1001_3^2 + 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB