Magma V2.19-8 Tue Aug 20 2013 16:18:55 on localhost [Seed = 2017060110] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3086 geometric_solution 6.25360527 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 -1 0 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 -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 0.618952277888 0.980191074699 0 4 2 3 0132 0132 3201 3012 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 0 0 0 0 0 0 0 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 0 0 0 0.355104653393 0.666879744400 1 0 6 5 2310 0132 0132 0132 0 0 0 0 0 1 -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 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 1.539427697481 0.729375876478 6 5 1 0 1230 0132 1230 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 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 1.178899107715 0.789276022065 5 1 0 6 3120 0132 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0.700522310586 0.854623914387 6 3 2 4 2031 0132 0132 3120 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 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 0.632997312846 0.608463108194 4 3 5 2 3201 3012 1302 0132 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 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 0.688494658977 0.456598867215 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : 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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_6, c_0101_1, c_0101_2, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 152597297231/299415599100*c_1001_0^12 - 148389847108/74853899775*c_1001_0^11 - 36551409337/8317099975*c_1001_0^10 + 94141840093/5988311982*c_1001_0^9 + 1326888732241/59883119820*c_1001_0^8 - 658766175418/14970779955*c_1001_0^7 - 381264228616/8317099975*c_1001_0^6 + 5870941700587/299415599100*c_1001_0^5 + 2383624757339/59883119820*c_1001_0^4 + 63044647379/1330735996*c_1001_0^3 + 1949116503754/74853899775*c_1001_0^2 - 682221473248/24951299925*c_1001_0 - 5110410471827/74853899775, c_0011_0 - 1, c_0011_3 + 69930407/195696470*c_1001_0^12 - 35459067/195696470*c_1001_0^11 - 441594798/97848235*c_1001_0^10 - 316332228/97848235*c_1001_0^9 + 2803514879/195696470*c_1001_0^8 + 3502908109/195696470*c_1001_0^7 - 581597964/97848235*c_1001_0^6 - 4613914389/195696470*c_1001_0^5 - 2303951052/97848235*c_1001_0^4 - 1007651482/97848235*c_1001_0^3 + 2494817153/195696470*c_1001_0^2 + 2774786433/97848235*c_1001_0 + 255792470/19569647, c_0011_6 - 14399567/78278588*c_1001_0^12 + 2285071/19569647*c_1001_0^11 + 88389335/39139294*c_1001_0^10 + 55639317/39139294*c_1001_0^9 - 545829597/78278588*c_1001_0^8 - 158770237/19569647*c_1001_0^7 + 92010249/39139294*c_1001_0^6 + 829779145/78278588*c_1001_0^5 + 896692361/78278588*c_1001_0^4 + 384111699/78278588*c_1001_0^3 - 239022379/39139294*c_1001_0^2 - 482329107/39139294*c_1001_0 - 102540250/19569647, c_0101_1 - 76032071/391392940*c_1001_0^12 + 4435829/97848235*c_1001_0^11 + 493697899/195696470*c_1001_0^10 + 469007319/195696470*c_1001_0^9 - 3060172897/391392940*c_1001_0^8 - 1179174868/97848235*c_1001_0^7 + 405147307/195696470*c_1001_0^6 + 5716652857/391392940*c_1001_0^5 + 6008665297/391392940*c_1001_0^4 + 3254114227/391392940*c_1001_0^3 - 1350040687/195696470*c_1001_0^2 - 3515254659/195696470*c_1001_0 - 191366580/19569647, c_0101_2 - 16793353/391392940*c_1001_0^12 - 948451/195696470*c_1001_0^11 + 106473777/195696470*c_1001_0^10 + 135909847/195696470*c_1001_0^9 - 514769311/391392940*c_1001_0^8 - 540381883/195696470*c_1001_0^7 - 129607379/195696470*c_1001_0^6 + 850356971/391392940*c_1001_0^5 + 1235539081/391392940*c_1001_0^4 + 888011991/391392940*c_1001_0^3 + 75348497/97848235*c_1001_0^2 - 525466867/195696470*c_1001_0 - 38771537/19569647, c_0101_3 - 10391641/97848235*c_1001_0^12 + 12749701/97848235*c_1001_0^11 + 122501918/97848235*c_1001_0^10 + 8648993/97848235*c_1001_0^9 - 427911667/97848235*c_1001_0^8 - 253531637/97848235*c_1001_0^7 + 318350759/97848235*c_1001_0^6 + 556110687/97848235*c_1001_0^5 + 473852022/97848235*c_1001_0^4 + 57253977/97848235*c_1001_0^3 - 473572819/97848235*c_1001_0^2 - 678132813/97848235*c_1001_0 - 39798965/19569647, c_1001_0^13 - 2*c_1001_0^12 - 12*c_1001_0^11 + 10*c_1001_0^10 + 55*c_1001_0^9 - 10*c_1001_0^8 - 96*c_1001_0^7 - 43*c_1001_0^6 + 35*c_1001_0^5 + 75*c_1001_0^4 + 86*c_1001_0^3 + 24*c_1001_0^2 - 88*c_1001_0 - 60 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB