Magma V2.19-8 Tue Aug 20 2013 18:20:48 on localhost [Seed = 2345284124] Type ? for help. Type -D to quit. Loading file "11_417__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_417 geometric_solution 13.10687612 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 14 1 1 2 3 0132 1302 0132 0132 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 1 -1 0 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 0.861662276227 1.363997252949 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 -1 0 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 0 -1 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 0.073598543618 0.725674881575 6 7 8 0 0132 0132 0132 0132 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 -1 0 1 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 0.423269211602 0.995633064533 9 8 0 10 0132 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369604345647 0.775683266018 11 1 12 8 0132 0132 0132 2031 0 0 0 0 0 1 0 -1 0 0 0 0 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 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 0.638368067212 0.850647057725 10 9 8 1 3120 3120 3120 0132 0 0 0 0 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 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 0.499379114284 1.050645773630 2 11 7 10 0132 0321 1023 2031 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 0 0 0 0.406162123805 0.351479756878 13 2 6 12 0132 0132 1023 1302 0 0 0 0 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 1 0 -1 -1 0 0 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 1.123906481048 1.247296640756 3 4 5 2 1023 1302 3120 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666745137455 0.638176118065 3 5 11 13 0132 3120 1023 2103 0 0 0 0 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 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 0.387953994646 0.745942086825 13 6 3 5 2103 1302 0132 3120 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 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 0.387953994646 0.745942086825 4 12 9 6 0132 3120 1023 0321 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 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 1.247083197593 0.738121491853 13 11 7 4 1230 3120 2031 0132 0 0 0 0 0 -1 1 0 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 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 -0.078865982381 0.793899351039 7 12 10 9 0132 3012 2103 2103 0 0 0 0 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 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 0.698006179756 0.785129087262 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_2'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_13' : d['c_0011_5'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 'c_0101_13' : d['c_0101_10'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_5']), 'c_1100_13' : negation(d['c_0101_1']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_2_8' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], 'c_1100_12' : negation(d['c_1001_2']), '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : negation(d['c_0011_13']), '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' : d['c_0011_13'], 'c_0110_11' : d['c_0011_13'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0011_13'], 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], '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_0011_13'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 330047/5669001*c_1001_2^5 + 7368592/17007003*c_1001_2^4 + 8855096/17007003*c_1001_2^3 + 22225441/17007003*c_1001_2^2 + 5482744/5669001*c_1001_2 - 3976358/17007003, c_0011_0 - 1, c_0011_10 - 195/521*c_1001_2^5 - 673/521*c_1001_2^4 - 1326/521*c_1001_2^3 - 2106/521*c_1001_2^2 - 1548/521*c_1001_2 + 703/521, c_0011_13 + 3756/6773*c_1001_2^5 + 13997/6773*c_1001_2^4 + 29813/6773*c_1001_2^3 + 52131/6773*c_1001_2^2 + 43435/6773*c_1001_2 + 1496/6773, c_0011_3 + 5166/6773*c_1001_2^5 + 17661/6773*c_1001_2^4 + 36796/6773*c_1001_2^3 + 61628/6773*c_1001_2^2 + 49819/6773*c_1001_2 - 1383/6773, c_0011_5 + 2760/6773*c_1001_2^5 + 9766/6773*c_1001_2^4 + 19289/6773*c_1001_2^3 + 35018/6773*c_1001_2^2 + 29645/6773*c_1001_2 - 3618/6773, c_0101_0 + 1125/6773*c_1001_2^5 + 5085/6773*c_1001_2^4 + 10255/6773*c_1001_2^3 + 17881/6773*c_1001_2^2 + 13740/6773*c_1001_2 - 6260/6773, c_0101_1 - 3756/6773*c_1001_2^5 - 13997/6773*c_1001_2^4 - 29813/6773*c_1001_2^3 - 52131/6773*c_1001_2^2 - 43435/6773*c_1001_2 - 1496/6773, c_0101_10 - 996/6773*c_1001_2^5 - 4231/6773*c_1001_2^4 - 10524/6773*c_1001_2^3 - 17113/6773*c_1001_2^2 - 20563/6773*c_1001_2 - 5114/6773, c_0101_11 - 1410/6773*c_1001_2^5 - 3664/6773*c_1001_2^4 - 6983/6773*c_1001_2^3 - 9497/6773*c_1001_2^2 - 6384/6773*c_1001_2 + 9652/6773, c_0101_2 + 195/521*c_1001_2^5 + 673/521*c_1001_2^4 + 1326/521*c_1001_2^3 + 2106/521*c_1001_2^2 + 1027/521*c_1001_2 - 703/521, c_0101_5 + 2346/6773*c_1001_2^5 + 10333/6773*c_1001_2^4 + 22830/6773*c_1001_2^3 + 42634/6773*c_1001_2^2 + 43824/6773*c_1001_2 + 4375/6773, c_0101_7 - 1410/6773*c_1001_2^5 - 3664/6773*c_1001_2^4 - 6983/6773*c_1001_2^3 - 9497/6773*c_1001_2^2 + 389/6773*c_1001_2 + 9652/6773, c_0101_8 - 7512/6773*c_1001_2^5 - 27994/6773*c_1001_2^4 - 59626/6773*c_1001_2^3 - 104262/6773*c_1001_2^2 - 93643/6773*c_1001_2 - 2992/6773, c_1001_2^6 + 11/3*c_1001_2^5 + 23/3*c_1001_2^4 + 40/3*c_1001_2^3 + 34/3*c_1001_2^2 - 1/3*c_1001_2 + 1/3 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_13, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 241256/5103999*c_1001_2^5 - 10684/221913*c_1001_2^4 - 152495/567111*c_1001_2^3 - 1202315/1701333*c_1001_2^2 - 4422922/5103999*c_1001_2 - 1987475/5103999, c_0011_0 - 1, c_0011_10 + 75/8219*c_1001_2^5 - 347/8219*c_1001_2^4 + 775/8219*c_1001_2^3 + 54/8219*c_1001_2^2 - 5135/8219*c_1001_2 + 7147/8219, c_0011_13 + 156/8219*c_1001_2^5 - 393/8219*c_1001_2^4 + 1612/8219*c_1001_2^3 - 2189/8219*c_1001_2^2 - 818/8219*c_1001_2 - 1901/8219, c_0011_3 - 63/8219*c_1001_2^5 + 949/8219*c_1001_2^4 - 651/8219*c_1001_2^3 + 3571/8219*c_1001_2^2 + 7601/8219*c_1001_2 + 1558/8219, c_0011_5 + 428/8219*c_1001_2^5 - 446/8219*c_1001_2^4 + 1683/8219*c_1001_2^3 + 3267/8219*c_1001_2^2 - 2455/8219*c_1001_2 + 896/8219, c_0101_0 + 1, c_0101_1 + 596/8219*c_1001_2^5 - 237/8219*c_1001_2^4 + 3419/8219*c_1001_2^3 + 4703/8219*c_1001_2^2 - 807/8219*c_1001_2 - 519/8219, c_0101_10 - 428/8219*c_1001_2^5 + 446/8219*c_1001_2^4 - 1683/8219*c_1001_2^3 - 3267/8219*c_1001_2^2 + 2455/8219*c_1001_2 - 896/8219, c_0101_11 - 75/8219*c_1001_2^5 + 347/8219*c_1001_2^4 - 775/8219*c_1001_2^3 - 54/8219*c_1001_2^2 - 3084/8219*c_1001_2 - 7147/8219, c_0101_2 - 75/8219*c_1001_2^5 + 347/8219*c_1001_2^4 - 775/8219*c_1001_2^3 - 54/8219*c_1001_2^2 - 3084/8219*c_1001_2 - 7147/8219, c_0101_5 - 63/8219*c_1001_2^5 + 949/8219*c_1001_2^4 - 651/8219*c_1001_2^3 + 3571/8219*c_1001_2^2 + 7601/8219*c_1001_2 + 1558/8219, c_0101_7 - 75/8219*c_1001_2^5 + 347/8219*c_1001_2^4 - 775/8219*c_1001_2^3 - 54/8219*c_1001_2^2 + 5135/8219*c_1001_2 - 7147/8219, c_0101_8 + 533/8219*c_1001_2^5 + 712/8219*c_1001_2^4 + 2768/8219*c_1001_2^3 + 8274/8219*c_1001_2^2 + 6794/8219*c_1001_2 + 1039/8219, c_1001_2^6 + 5*c_1001_2^4 + 12*c_1001_2^3 + 5*c_1001_2^2 + 5*c_1001_2 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 17.380 Total time: 17.600 seconds, Total memory usage: 140.41MB