Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 2294879679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2616 geometric_solution 5.89650412 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 -1 1 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 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 0.409859244749 0.800486189906 0 3 5 4 0132 0132 0132 0132 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 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 0.248868353581 1.402876438375 5 4 0 3 2310 2310 0132 0132 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248868353581 1.402876438375 3 1 2 3 3201 0132 0132 2310 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621872690430 0.471557984899 6 6 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.091498412677 0.416648317316 5 5 2 1 1230 3012 3201 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 0 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 -0.155390484804 1.144298652188 4 6 4 6 0132 2310 2310 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 -0.959535335568 1.193120115025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], '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_0011_5'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2*c_0101_3 - 3, c_0011_0 - 1, c_0011_2 - c_0101_3, c_0011_4 - 1, c_0011_5 - 1, c_0101_0 + c_0101_3, c_0101_3^2 - c_0101_3 - 1, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 252657767/3927679609*c_0101_6^9 - 783178008/3927679609*c_0101_6^8 + 2384358157/3927679609*c_0101_6^7 + 2142551813/3927679609*c_0101_6^6 - 13965859905/3927679609*c_0101_6^5 + 471508777/231039977*c_0101_6^4 + 15806223812/3927679609*c_0101_6^3 - 26303000692/3927679609*c_0101_6^2 + 513885475/231039977*c_0101_6 - 476570051/561097087, c_0011_0 - 1, c_0011_2 - 325812/33005711*c_0101_6^9 - 375610/33005711*c_0101_6^8 + 8619673/33005711*c_0101_6^7 + 10894422/33005711*c_0101_6^6 - 45132406/33005711*c_0101_6^5 - 11285379/33005711*c_0101_6^4 + 126163530/33005711*c_0101_6^3 - 22341667/33005711*c_0101_6^2 - 92800765/33005711*c_0101_6 + 35300021/33005711, c_0011_4 + 1476918/33005711*c_0101_6^9 + 5482064/33005711*c_0101_6^8 - 12777288/33005711*c_0101_6^7 - 27475430/33005711*c_0101_6^6 + 81237600/33005711*c_0101_6^5 + 16550951/33005711*c_0101_6^4 - 172960498/33005711*c_0101_6^3 + 115572091/33005711*c_0101_6^2 + 71881119/33005711*c_0101_6 - 79970995/33005711, c_0011_5 + 380717/33005711*c_0101_6^9 + 1266957/33005711*c_0101_6^8 - 4896570/33005711*c_0101_6^7 - 12413649/33005711*c_0101_6^6 + 21993576/33005711*c_0101_6^5 + 30524855/33005711*c_0101_6^4 - 53517073/33005711*c_0101_6^3 - 48712173/33005711*c_0101_6^2 + 35606251/33005711*c_0101_6 + 39784235/33005711, c_0101_0 - 663584/33005711*c_0101_6^9 - 1297051/33005711*c_0101_6^8 + 10341775/33005711*c_0101_6^7 + 5179592/33005711*c_0101_6^6 - 53883915/33005711*c_0101_6^5 + 41137300/33005711*c_0101_6^4 + 92402634/33005711*c_0101_6^3 - 120065253/33005711*c_0101_6^2 + 500119/33005711*c_0101_6 + 63637225/33005711, c_0101_3 + 1160/125497*c_0101_6^9 + 9289/125497*c_0101_6^8 + 10031/125497*c_0101_6^7 - 61663/125497*c_0101_6^6 - 52441/125497*c_0101_6^5 + 279646/125497*c_0101_6^4 + 59404/125497*c_0101_6^3 - 525767/125497*c_0101_6^2 + 124827/125497*c_0101_6 + 300931/125497, c_0101_6^10 + 2*c_0101_6^9 - 14*c_0101_6^8 + 81*c_0101_6^6 - 97*c_0101_6^5 - 108*c_0101_6^4 + 290*c_0101_6^3 - 109*c_0101_6^2 - 154*c_0101_6 + 119 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB