Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2951623501] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2058 geometric_solution 5.58212979 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -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 -1 0 1 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 0.285159805036 0.295487899337 2 0 3 0 0132 2310 0132 0132 0 0 0 0 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 0 0 0 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 1.023793905552 1.456805751152 1 3 4 5 0132 3201 0132 0132 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 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 -0.183543384507 0.856974912578 5 4 2 1 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 -1 0 1 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 -0.183543384507 0.856974912578 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337059841242 0.495298365937 6 6 2 3 0132 3201 0132 2310 0 0 0 0 0 -1 1 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 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 -0.379542091824 2.139704260342 5 6 5 6 0132 1302 2310 2031 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 -0.362211951492 0.766923040354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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' : negation(d['1']), 's_2_6' : 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_0_6' : 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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 192195091527/294659585*c_0011_5*c_0101_1^12 + 48435280539/58931917*c_0011_5*c_0101_1^11 - 513680051696/294659585*c_0011_5*c_0101_1^10 + 1596022731674/294659585*c_0011_5*c_0101_1^9 + 415129428111/294659585*c_0011_5*c_0101_1^8 - 2391149167102/294659585*c_0011_5*c_0101_1^7 - 1006790256787/294659585*c_0011_5*c_0101_1^6 + 870237835183/58931917*c_0011_5*c_0101_1^5 - 5402397240583/294659585*c_0011_5*c_0101_1^4 - 1406134208232/294659585*c_0011_5*c_0101_1^3 + 5016778978528/294659585*c_0011_5*c_0101_1^2 - 616068355008/294659585*c_0011_5*c_0101_1 - 737321416388/294659585*c_0011_5, c_0011_0 - 1, c_0011_1 + 92877/75457*c_0101_1^12 + 155884/75457*c_0101_1^11 - 163583/75457*c_0101_1^10 + 733408/75457*c_0101_1^9 + 474797/75457*c_0101_1^8 - 794029/75457*c_0101_1^7 - 749730/75457*c_0101_1^6 + 1650435/75457*c_0101_1^5 - 2065740/75457*c_0101_1^4 - 1219891/75457*c_0101_1^3 + 1411114/75457*c_0101_1^2 + 141982/75457*c_0101_1 - 66235/75457, c_0011_3 - 283094/75457*c_0011_5*c_0101_1^12 - 424786/75457*c_0011_5*c_0101_1^11 + 614713/75457*c_0011_5*c_0101_1^10 - 2278654/75457*c_0011_5*c_0101_1^9 - 1111645/75457*c_0011_5*c_0101_1^8 + 2946814/75457*c_0011_5*c_0101_1^7 + 1933387/75457*c_0011_5*c_0101_1^6 - 5716843/75457*c_0011_5*c_0101_1^5 + 6974318/75457*c_0011_5*c_0101_1^4 + 3167093/75457*c_0011_5*c_0101_1^3 - 5860892/75457*c_0011_5*c_0101_1^2 + 83455/75457*c_0011_5*c_0101_1 + 779631/75457*c_0011_5, c_0011_4 - 3166598/4150135*c_0011_5*c_0101_1^12 - 438698/830027*c_0011_5*c_0101_1^11 + 11681264/4150135*c_0011_5*c_0101_1^10 - 28630136/4150135*c_0011_5*c_0101_1^9 + 7949316/4150135*c_0011_5*c_0101_1^8 + 49728738/4150135*c_0011_5*c_0101_1^7 + 6435618/4150135*c_0011_5*c_0101_1^6 - 16771985/830027*c_0011_5*c_0101_1^5 + 117925477/4150135*c_0011_5*c_0101_1^4 - 15438107/4150135*c_0011_5*c_0101_1^3 - 101415007/4150135*c_0011_5*c_0101_1^2 + 26216797/4150135*c_0011_5*c_0101_1 + 13459767/4150135*c_0011_5, c_0011_5^2 - 18409477/4150135*c_0101_1^12 - 6446225/830027*c_0101_1^11 + 32060761/4150135*c_0101_1^10 - 140248069/4150135*c_0101_1^9 - 107670171/4150135*c_0101_1^8 + 167483157/4150135*c_0101_1^7 + 164968972/4150135*c_0101_1^6 - 65717920/830027*c_0101_1^5 + 374912993/4150135*c_0101_1^4 + 302297282/4150135*c_0101_1^3 - 321715643/4150135*c_0101_1^2 - 61451992/4150135*c_0101_1 + 31089853/4150135, c_0101_0 - 10293621/4150135*c_0101_1^12 - 3482096/830027*c_0101_1^11 + 18752453/4150135*c_0101_1^10 - 80085557/4150135*c_0101_1^9 - 55519558/4150135*c_0101_1^8 + 95155146/4150135*c_0101_1^7 + 83355821/4150135*c_0101_1^6 - 37713869/830027*c_0101_1^5 + 221377789/4150135*c_0101_1^4 + 150948926/4150135*c_0101_1^3 - 186105034/4150135*c_0101_1^2 - 14831411/4150135*c_0101_1 + 15974914/4150135, c_0101_1^13 + c_0101_1^12 - 3*c_0101_1^11 + 9*c_0101_1^10 - 13*c_0101_1^8 - 2*c_0101_1^7 + 24*c_0101_1^6 - 34*c_0101_1^5 + 28*c_0101_1^3 - 10*c_0101_1^2 - 3*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB