Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 1275973946] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3085 geometric_solution 6.25360496 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1 1 -2 1 0 0 -1 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840021227842 0.676498156355 3 0 2 4 0132 0132 1302 0132 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 -1 1 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 0.851753913607 0.551580771662 1 5 6 0 2031 0132 0132 0132 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 -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 0.292338960267 0.671426608784 1 6 6 5 0132 1023 2310 1230 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601467588635 0.398787310147 5 4 1 4 2031 1302 0132 2031 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 0 0 0 0.727435973434 0.626008725852 3 2 4 6 3012 0132 1302 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.455337738758 0.888446825064 3 3 5 2 1023 3201 1230 0132 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 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 0.845096295183 0.765728612191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : 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_0'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 28092321831/17855877520*c_0110_4^8 + 243584517791/71423510080*c_0110_4^7 + 7085011177/1785587752*c_0110_4^6 - 44391130871/17855877520*c_0110_4^5 - 720203646401/71423510080*c_0110_4^4 + 303548533/211312160*c_0110_4^3 - 26074777685/3571175504*c_0110_4^2 - 90952033829/3571175504*c_0110_4 + 876374985313/71423510080, c_0011_0 - 1, c_0011_2 - 1242768/85845565*c_0101_6*c_0110_4^8 - 2406108/85845565*c_0101_6*c_0110_4^7 + 2509200/17169113*c_0101_6*c_0110_4^6 + 17456232/85845565*c_0101_6*c_0110_4^5 - 43964309/171691130*c_0101_6*c_0110_4^4 - 3293144/6603505*c_0101_6*c_0110_4^3 + 5452339/34338226*c_0101_6*c_0110_4^2 - 1083568/17169113*c_0101_6*c_0110_4 - 59349989/85845565*c_0101_6, c_0011_4 - 1539592/17169113*c_0101_6*c_0110_4^8 + 2318954/17169113*c_0101_6*c_0110_4^7 + 5689706/17169113*c_0101_6*c_0110_4^6 - 260464/17169113*c_0101_6*c_0110_4^5 - 10160486/17169113*c_0101_6*c_0110_4^4 - 682839/2641402*c_0101_6*c_0110_4^3 - 4724916/17169113*c_0101_6*c_0110_4^2 - 42758149/34338226*c_0101_6*c_0110_4 + 909102/17169113*c_0101_6, c_0101_0 - 41896/802295*c_0110_4^8 + 144474/802295*c_0110_4^7 - 11496/160459*c_0110_4^6 - 224256/802295*c_0110_4^5 - 109879/802295*c_0110_4^4 + 52532/61715*c_0110_4^3 - 9452/160459*c_0110_4^2 - 64112/160459*c_0110_4 + 842447/802295, c_0101_3 + 3674708/85845565*c_0101_6*c_0110_4^8 - 11346997/85845565*c_0101_6*c_0110_4^7 - 1895510/17169113*c_0101_6*c_0110_4^6 + 15085113/85845565*c_0101_6*c_0110_4^5 + 54907127/85845565*c_0101_6*c_0110_4^4 - 1929691/6603505*c_0101_6*c_0110_4^3 + 2288733/17169113*c_0101_6*c_0110_4^2 + 22909509/34338226*c_0101_6*c_0110_4 - 20103526/85845565*c_0101_6, c_0101_6^2 + 3484204/85845565*c_0110_4^8 - 5323251/85845565*c_0110_4^7 - 1894164/17169113*c_0110_4^6 - 5458536/85845565*c_0110_4^5 + 27860681/85845565*c_0110_4^4 + 482682/6603505*c_0110_4^3 - 10805044/17169113*c_0110_4^2 + 4513560/17169113*c_0110_4 - 114489273/85845565, c_0110_4^9 - 9/4*c_0110_4^8 - 2*c_0110_4^7 + c_0110_4^6 + 23/4*c_0110_4^5 - 3/2*c_0110_4^4 + 7*c_0110_4^3 + 15*c_0110_4^2 - 23/4*c_0110_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB