Magma V2.19-8 Tue Aug 20 2013 16:16:28 on localhost [Seed = 2513701235] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0758 geometric_solution 4.70106466 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 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 -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 1.008184658248 0.712879150132 0 4 3 4 0132 0132 3201 2310 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 -1 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 0.807225523936 0.942414959329 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 1.318705663789 0.285556999687 1 5 0 5 2310 0132 0132 2310 0 0 0 0 0 0 0 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 0 -1 1 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 0.807225523936 0.942414959329 1 1 6 6 3201 0132 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.324384628686 0.216184060329 3 3 6 6 3201 0132 1023 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324384628686 0.216184060329 5 4 5 4 3201 2310 1023 0132 0 0 0 0 0 1 -1 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 -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 -2.134658016638 1.422629177345 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0110_4']), '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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4*c_0110_4^3 - 6*c_0110_4, c_0011_0 - 1, c_0011_6 - 2*c_0110_4^2 + 2, c_0101_0 + 2*c_0110_4^3 - 3*c_0110_4, c_0101_1 - 2*c_0110_4^3 + 3*c_0110_4, c_0101_2 - c_0110_4, c_0101_6 - c_0110_4, c_0110_4^4 - 2*c_0110_4^2 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 41837757/20745202*c_0110_4^15 - 151935896/10372601*c_0110_4^13 + 154379063/2440612*c_0110_4^11 - 7441661069/41490404*c_0110_4^9 + 3672245781/10372601*c_0110_4^7 - 17319228663/41490404*c_0110_4^5 + 3965947087/20745202*c_0110_4^3 - 883704673/41490404*c_0110_4, c_0011_0 - 1, c_0011_6 - 213358/10372601*c_0110_4^14 + 933278/10372601*c_0110_4^12 - 165335/610153*c_0110_4^10 + 3590062/10372601*c_0110_4^8 + 1120596/10372601*c_0110_4^6 - 20697973/10372601*c_0110_4^4 + 23596155/10372601*c_0110_4^2 + 10680770/10372601, c_0101_0 + 7183070/10372601*c_0110_4^15 - 50093820/10372601*c_0110_4^13 + 12408031/610153*c_0110_4^11 - 578251241/10372601*c_0110_4^9 + 1095321567/10372601*c_0110_4^7 - 1171056642/10372601*c_0110_4^5 + 343119825/10372601*c_0110_4^3 + 30305706/10372601*c_0110_4, c_0101_1 - 616338/10372601*c_0110_4^15 + 4101008/10372601*c_0110_4^13 - 1014629/610153*c_0110_4^11 + 47112683/10372601*c_0110_4^9 - 91017821/10372601*c_0110_4^7 + 102508197/10372601*c_0110_4^5 - 49974028/10372601*c_0110_4^3 + 29962559/10372601*c_0110_4, c_0101_2 - 9280200/10372601*c_0110_4^15 + 65950296/10372601*c_0110_4^13 - 16493308/610153*c_0110_4^11 + 779059400/10372601*c_0110_4^9 - 1498214754/10372601*c_0110_4^7 + 1662847712/10372601*c_0110_4^5 - 578972357/10372601*c_0110_4^3 - 26775822/10372601*c_0110_4, c_0101_6 - c_0110_4, c_0110_4^16 - 7*c_0110_4^14 + 59/2*c_0110_4^12 - 81*c_0110_4^10 + 307/2*c_0110_4^8 - 329/2*c_0110_4^6 + 95/2*c_0110_4^4 + 13/2*c_0110_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB