Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2210537291] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2292 geometric_solution 5.70003160 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.548930821972 0.252373751261 2 0 3 0 0132 2310 0132 0132 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 1 -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 0.947221457587 0.439027925128 1 3 4 5 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625203199511 0.513241061326 5 4 2 1 0132 1023 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625203199511 0.513241061326 3 4 4 2 1023 1230 3012 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 -1 1 0 -1 0 1 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 1.044463444136 0.784417924365 3 6 2 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.322177218857 1.358297283749 6 5 6 5 2310 0132 3201 1023 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 0 0 0.539849992876 0.350758863590 ==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' : negation(d['c_0011_3']), '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_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), '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_3']), 'c_0011_4' : 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_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_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' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 11/32*c_0101_4^7 - 61/16*c_0101_4^5 + 73/8*c_0101_4^3 + 1/2*c_0101_4, c_0011_0 - 1, c_0011_1 + 1/2*c_0101_4^2 - 1, c_0011_3 + 1/16*c_0101_4^7 - 5/8*c_0101_4^5 + 5/4*c_0101_4^3, c_0101_0 - 1/16*c_0101_4^7 + 5/8*c_0101_4^5 - 5/4*c_0101_4^3, c_0101_1 - 1/4*c_0101_4^4 + 3/2*c_0101_4^2 - 1, c_0101_4^8 - 12*c_0101_4^6 + 36*c_0101_4^4 - 16*c_0101_4^2 - 16, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 27316002/73375*c_0101_4*c_0101_6^5 - 353321533/73375*c_0101_4*c_0101_6^4 + 1397307032/73375*c_0101_4*c_0101_6^3 - 1847834754/73375*c_0101_4*c_0101_6^2 + 1216861862/73375*c_0101_4*c_0101_6 - 411338303/73375*c_0101_4, c_0011_0 - 1, c_0011_1 - 66/587*c_0101_6^5 + 767/587*c_0101_6^4 - 2330/587*c_0101_6^3 + 922/587*c_0101_6^2 + 154/587*c_0101_6 - 165/587, c_0011_3 - 242/2935*c_0101_4*c_0101_6^5 + 3008/2935*c_0101_4*c_0101_6^4 - 11087/2935*c_0101_4*c_0101_6^3 + 13164/2935*c_0101_4*c_0101_6^2 - 10197/2935*c_0101_4*c_0101_6 + 1743/2935*c_0101_4, c_0101_0 + 913/2935*c_0101_4*c_0101_6^5 - 11882/2935*c_0101_4*c_0101_6^4 + 47298/2935*c_0101_4*c_0101_6^3 - 61671/2935*c_0101_4*c_0101_6^2 + 34068/2935*c_0101_4*c_0101_6 - 8577/2935*c_0101_4, c_0101_1 - 66/587*c_0101_6^5 + 767/587*c_0101_6^4 - 2330/587*c_0101_6^3 + 922/587*c_0101_6^2 - 433/587*c_0101_6 + 422/587, c_0101_4^2 - 36/587*c_0101_6^5 + 365/587*c_0101_6^4 - 844/587*c_0101_6^3 - 511/587*c_0101_6^2 + 84/587*c_0101_6 - 90/587, c_0101_6^6 - 13*c_0101_6^5 + 52*c_0101_6^4 - 71*c_0101_6^3 + 49*c_0101_6^2 - 18*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB