Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 576962295] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1383 geometric_solution 5.23807202 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0.544275677352 0.083625551240 2 0 2 0 0132 2310 1023 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 0.660792979673 0.192157713087 1 3 1 4 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505765787798 1.410902218464 5 2 4 6 0132 0132 3012 0132 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 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 0.871054626423 1.613153468877 6 3 2 5 1023 1230 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871054626423 1.613153468877 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -1 0 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 -1 1 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 0.291206841231 0.416106338789 6 4 3 6 3201 1023 0132 2310 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484817280148 0.579474032909 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], '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_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], '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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 637931/135239*c_0101_5^7 + 6316385/135239*c_0101_5^6 + 6552164/135239*c_0101_5^5 - 30654227/135239*c_0101_5^4 - 42860853/135239*c_0101_5^3 + 27838543/135239*c_0101_5^2 + 3112854/10403*c_0101_5 - 3537515/135239, c_0011_0 - 1, c_0011_1 - 42347/135239*c_0101_5^7 - 355096/135239*c_0101_5^6 + 115278/135239*c_0101_5^5 + 1965026/135239*c_0101_5^4 - 124010/135239*c_0101_5^3 - 2234200/135239*c_0101_5^2 + 32472/10403*c_0101_5 + 315135/135239, c_0011_4 - 10880/135239*c_0101_5^7 - 92536/135239*c_0101_5^6 + 11376/135239*c_0101_5^5 + 453722/135239*c_0101_5^4 + 91488/135239*c_0101_5^3 - 322817/135239*c_0101_5^2 - 3384/10403*c_0101_5 - 61928/135239, c_0101_0 - 29557/135239*c_0101_5^7 - 253276/135239*c_0101_5^6 + 28319/135239*c_0101_5^5 + 1333455/135239*c_0101_5^4 + 186091/135239*c_0101_5^3 - 1426248/135239*c_0101_5^2 + 728/10403*c_0101_5 + 263634/135239, c_0101_1 + 30964/135239*c_0101_5^7 + 242272/135239*c_0101_5^6 - 232052/135239*c_0101_5^5 - 1418656/135239*c_0101_5^4 + 815177/135239*c_0101_5^3 + 1779728/135239*c_0101_5^2 - 61997/10403*c_0101_5 - 300672/135239, c_0101_3 - 10880/135239*c_0101_5^7 - 92536/135239*c_0101_5^6 + 11376/135239*c_0101_5^5 + 453722/135239*c_0101_5^4 + 91488/135239*c_0101_5^3 - 322817/135239*c_0101_5^2 - 3384/10403*c_0101_5 + 73311/135239, c_0101_5^8 + 8*c_0101_5^7 - 6*c_0101_5^6 - 46*c_0101_5^5 + 19*c_0101_5^4 + 56*c_0101_5^3 - 23*c_0101_5^2 - 9*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 637931/135239*c_0101_5^7 - 6316385/135239*c_0101_5^6 - 6552164/135239*c_0101_5^5 + 30654227/135239*c_0101_5^4 + 42860853/135239*c_0101_5^3 - 27838543/135239*c_0101_5^2 - 3112854/10403*c_0101_5 + 3537515/135239, c_0011_0 - 1, c_0011_1 - 42347/135239*c_0101_5^7 - 355096/135239*c_0101_5^6 + 115278/135239*c_0101_5^5 + 1965026/135239*c_0101_5^4 - 124010/135239*c_0101_5^3 - 2234200/135239*c_0101_5^2 + 32472/10403*c_0101_5 + 315135/135239, c_0011_4 + 10880/135239*c_0101_5^7 + 92536/135239*c_0101_5^6 - 11376/135239*c_0101_5^5 - 453722/135239*c_0101_5^4 - 91488/135239*c_0101_5^3 + 322817/135239*c_0101_5^2 + 3384/10403*c_0101_5 + 61928/135239, c_0101_0 + 29557/135239*c_0101_5^7 + 253276/135239*c_0101_5^6 - 28319/135239*c_0101_5^5 - 1333455/135239*c_0101_5^4 - 186091/135239*c_0101_5^3 + 1426248/135239*c_0101_5^2 - 728/10403*c_0101_5 - 263634/135239, c_0101_1 + 30964/135239*c_0101_5^7 + 242272/135239*c_0101_5^6 - 232052/135239*c_0101_5^5 - 1418656/135239*c_0101_5^4 + 815177/135239*c_0101_5^3 + 1779728/135239*c_0101_5^2 - 61997/10403*c_0101_5 - 300672/135239, c_0101_3 + 10880/135239*c_0101_5^7 + 92536/135239*c_0101_5^6 - 11376/135239*c_0101_5^5 - 453722/135239*c_0101_5^4 - 91488/135239*c_0101_5^3 + 322817/135239*c_0101_5^2 + 3384/10403*c_0101_5 - 73311/135239, c_0101_5^8 + 8*c_0101_5^7 - 6*c_0101_5^6 - 46*c_0101_5^5 + 19*c_0101_5^4 + 56*c_0101_5^3 - 23*c_0101_5^2 - 9*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB