Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 1292685698] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0373 geometric_solution 4.42880961 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.231379515681 0.383178545407 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359744713033 0.918837434462 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -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 1 0 -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 -0.276108835745 0.359920261363 4 4 5 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180279707550 1.515817510264 3 3 2 5 1230 3012 0132 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 -1 1 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 0 0 0 1.180279707550 1.515817510264 6 6 4 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 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 -0.370337425852 0.468618109670 5 6 6 5 0132 3201 2310 3201 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 -0.563984040449 1.164541415225 ==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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 111040522296316/1763800856835*c_1100_2^11 - 8029917073249108/8819004284175*c_1100_2^10 - 37884642765787334/8819004284175*c_1100_2^9 - 2695761656126012/352760171367*c_1100_2^8 - 176977082714614/62546129675*c_1100_2^7 + 202606026143904473/8819004284175*c_1100_2^6 + 170083102593356704/2939668094725*c_1100_2^5 + 492584922321055406/8819004284175*c_1100_2^4 + 38727063770299071/2939668094725*c_1100_2^3 - 57774728266736258/2939668094725*c_1100_2^2 - 32912518818970961/1763800856835*c_1100_2 - 46842968862802412/8819004284175, c_0011_0 - 1, c_0011_3 + 2533239301241/8819004284175*c_1100_2^11 + 11953868247916/2939668094725*c_1100_2^10 + 32462608230523/1763800856835*c_1100_2^9 + 263876227718473/8819004284175*c_1100_2^8 + 1245475462922/187638389025*c_1100_2^7 - 909015637138789/8819004284175*c_1100_2^6 - 2056134512010397/8819004284175*c_1100_2^5 - 591792329134272/2939668094725*c_1100_2^4 - 89266810058434/2939668094725*c_1100_2^3 + 46919480977781/587933618945*c_1100_2^2 + 571773543180094/8819004284175*c_1100_2 + 9430096164319/587933618945, c_0011_5 - 707197362226/8819004284175*c_1100_2^11 - 3393897539301/2939668094725*c_1100_2^10 - 9543109972883/1763800856835*c_1100_2^9 - 84388660863728/8819004284175*c_1100_2^8 - 692963742817/187638389025*c_1100_2^7 + 254376213144554/8819004284175*c_1100_2^6 + 637983980410742/8819004284175*c_1100_2^5 + 208414415647742/2939668094725*c_1100_2^4 + 54170600720399/2939668094725*c_1100_2^3 - 14085231473201/587933618945*c_1100_2^2 - 210661820435684/8819004284175*c_1100_2 - 3846320374069/587933618945, c_0101_0 - 169392985772/2939668094725*c_1100_2^11 - 2559777270391/2939668094725*c_1100_2^10 - 2603167201481/587933618945*c_1100_2^9 - 26291674495091/2939668094725*c_1100_2^8 - 294117569899/62546129675*c_1100_2^7 + 65157062608413/2939668094725*c_1100_2^6 + 191827987172124/2939668094725*c_1100_2^5 + 206045709263822/2939668094725*c_1100_2^4 + 60161381612009/2939668094725*c_1100_2^3 - 12548438022166/587933618945*c_1100_2^2 - 66488506995098/2939668094725*c_1100_2 - 4350514642099/587933618945, c_0101_1 + 11505707491/37527677805*c_1100_2^11 + 55269200476/12509225935*c_1100_2^10 + 155243211446/7505535561*c_1100_2^9 + 1353251541368/37527677805*c_1100_2^8 + 437628528539/37527677805*c_1100_2^7 - 4220371345454/37527677805*c_1100_2^6 - 10329674209997/37527677805*c_1100_2^5 - 3200840175632/12509225935*c_1100_2^4 - 625513723479/12509225935*c_1100_2^3 + 239252932775/2501845187*c_1100_2^2 + 3156511354979/37527677805*c_1100_2 + 55287173498/2501845187, c_0101_3 - 2585477517631/8819004284175*c_1100_2^11 - 12207444731431/2939668094725*c_1100_2^10 - 33189185506688/1763800856835*c_1100_2^9 - 270479076618443/8819004284175*c_1100_2^8 - 1298957487427/187638389025*c_1100_2^7 + 929275158325274/8819004284175*c_1100_2^6 + 2108434983031202/8819004284175*c_1100_2^5 + 607766276333802/2939668094725*c_1100_2^4 + 92280428747019/2939668094725*c_1100_2^3 - 49064996269896/587933618945*c_1100_2^2 - 598881413974229/8819004284175*c_1100_2 - 9597437089229/587933618945, c_1100_2^12 + 15*c_1100_2^11 + 76*c_1100_2^10 + 158*c_1100_2^9 + 110*c_1100_2^8 - 341*c_1100_2^7 - 1115*c_1100_2^6 - 1380*c_1100_2^5 - 684*c_1100_2^4 + 201*c_1100_2^3 + 464*c_1100_2^2 + 243*c_1100_2 + 45 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB