Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 1612840026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0092 geometric_solution 3.62973490 oriented_manifold CS_known -0.0000000000000000 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 0.133672467747 0.015688726392 2 0 2 0 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -4.512994432174 0.850399595390 1 1 3 3 0132 3201 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 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 0.340842070442 0.089091714564 4 2 5 2 0132 2310 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 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 0.482490556769 0.374933604521 3 6 5 5 0132 0132 3012 2310 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 -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 0.003989399037 1.966301972627 4 4 6 3 3201 1230 3201 0132 0 0 0 0 0 -1 1 0 -1 0 1 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 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 0.003989399037 1.966301972627 5 4 6 6 2310 0132 1230 3012 0 0 0 0 0 1 0 -1 1 0 -1 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 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 0.003989399037 1.966301972627 ==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_0101_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], '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_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_0']), '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_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 196244435/2299063*c_0101_3^7 + 1588135802/2299063*c_0101_3^6 + 1033737578/2299063*c_0101_3^5 - 9152786072/2299063*c_0101_3^4 - 2877423983/2299063*c_0101_3^3 + 11401500503/2299063*c_0101_3^2 + 262543049/176851*c_0101_3 - 2196785538/2299063, c_0011_0 - 1, c_0011_1 - 29557/135239*c_0101_3^7 + 253276/135239*c_0101_3^6 + 28319/135239*c_0101_3^5 - 1333455/135239*c_0101_3^4 + 186091/135239*c_0101_3^3 + 1426248/135239*c_0101_3^2 + 728/10403*c_0101_3 - 128395/135239, c_0011_3 + 11383/135239*c_0101_3^7 - 112824/135239*c_0101_3^6 + 116774/135239*c_0101_3^5 + 546370/135239*c_0101_3^4 - 691167/135239*c_0101_3^3 - 454472/135239*c_0101_3^2 + 39928/10403*c_0101_3 + 14463/135239, c_0011_5 - 10880/135239*c_0101_0*c_0101_3^7 + 92536/135239*c_0101_0*c_0101_3^6 + 11376/135239*c_0101_0*c_0101_3^5 - 453722/135239*c_0101_0*c_0101_3^4 + 91488/135239*c_0101_0*c_0101_3^3 + 322817/135239*c_0101_0*c_0101_3^2 - 3384/10403*c_0101_0*c_0101_3 + 61928/135239*c_0101_0, c_0101_0^2 + 29557/135239*c_0101_3^7 - 253276/135239*c_0101_3^6 - 28319/135239*c_0101_3^5 + 1333455/135239*c_0101_3^4 - 186091/135239*c_0101_3^3 - 1426248/135239*c_0101_3^2 - 728/10403*c_0101_3 - 6844/135239, c_0101_1 - 12790/135239*c_0101_3^7 + 101820/135239*c_0101_3^6 + 86959/135239*c_0101_3^5 - 631571/135239*c_0101_3^4 - 310101/135239*c_0101_3^3 + 807952/135239*c_0101_3^2 + 31744/10403*c_0101_3 - 51501/135239, c_0101_3^8 - 8*c_0101_3^7 - 6*c_0101_3^6 + 46*c_0101_3^5 + 19*c_0101_3^4 - 56*c_0101_3^3 - 23*c_0101_3^2 + 9*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB