Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 1680210020] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s501 geometric_solution 4.88670031 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 -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 0.406931998529 0.197199280692 2 0 3 0 0132 2310 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602997603111 0.767189001630 1 4 5 5 0132 0132 0132 3201 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143342101850 1.949363644983 5 5 4 1 2310 1023 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.143342101850 1.949363644983 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314087923875 0.520459210484 3 2 3 2 1023 2310 3201 0132 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 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 -0.037518555539 0.510229076012 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_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' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_1']), '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' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], '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_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), '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_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 277267849/260595695232*c_0101_3^16 + 5760769595/260595695232*c_0101_3^14 - 3870606127/130297847616*c_0101_3^12 - 850628523/4825846208*c_0101_3^10 - 53196118399/43432615872*c_0101_3^8 - 488875899647/260595695232*c_0101_3^6 - 290379731557/16287230952*c_0101_3^4 + 853926509623/130297847616*c_0101_3^2 - 469987411621/9651692416, c_0011_0 - 1, c_0011_1 + 106601017/347460926976*c_0101_3^16 + 75435751/347460926976*c_0101_3^14 - 941299631/173730463488*c_0101_3^12 - 668804283/19303384832*c_0101_3^10 - 6005350619/57910154496*c_0101_3^8 - 145885930753/347460926976*c_0101_3^6 - 132516404317/173730463488*c_0101_3^4 - 36078478477/43432615872*c_0101_3^2 - 27369837663/38606769664, c_0011_3 + 344797301/347460926976*c_0101_3^16 - 364565173/347460926976*c_0101_3^14 - 2668044307/173730463488*c_0101_3^12 - 1672568527/19303384832*c_0101_3^10 - 12037140175/57910154496*c_0101_3^8 - 322608416861/347460926976*c_0101_3^6 - 98295258425/173730463488*c_0101_3^4 - 73808365949/43432615872*c_0101_3^2 - 21779990115/38606769664, c_0101_0 + 3313123901/1042382780928*c_0101_3^17 - 6813302533/1042382780928*c_0101_3^15 - 20634498187/521191390464*c_0101_3^13 - 13268420399/57910154496*c_0101_3^11 - 88265535607/173730463488*c_0101_3^9 - 3108374501813/1042382780928*c_0101_3^7 + 90163888027/521191390464*c_0101_3^5 - 277247893571/32574461904*c_0101_3^3 - 18636224659/115820308992*c_0101_3, c_0101_1 + 286596059/347460926976*c_0101_3^16 - 548983027/347460926976*c_0101_3^14 - 1960502653/173730463488*c_0101_3^12 - 1147771609/19303384832*c_0101_3^10 - 7349373553/57910154496*c_0101_3^8 - 266698768163/347460926976*c_0101_3^6 + 8704028701/173730463488*c_0101_3^4 - 2120786023/1357269246*c_0101_3^2 - 5222129781/38606769664, c_0101_3^18 - 2*c_0101_3^16 - 13*c_0101_3^14 - 72*c_0101_3^12 - 156*c_0101_3^10 - 919*c_0101_3^8 + 31*c_0101_3^6 - 2462*c_0101_3^4 - 423*c_0101_3^2 - 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB