Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 2901225544] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0622 geometric_solution 4.62246602 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.559646701392 0.337220213390 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 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 -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 0.689112229063 0.789887357054 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 1 0 0 -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 -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 0.689112229063 0.789887357054 4 2 1 4 0132 3201 0132 1023 0 0 0 0 0 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 -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 0.498295721877 0.465436784068 3 5 5 3 0132 0132 1023 1023 0 0 0 0 0 0 -1 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 0 1 -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 1.212359442277 0.369476335704 6 4 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.183271536027 0.112558075560 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 -1 1 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 1 -1 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 1.145194544401 0.061741194873 ==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' : negation(d['1']), 's_2_0' : negation(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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 29/10*c_0101_5 + 38/5, c_0011_0 - 1, c_0011_3 - c_0101_1*c_0101_5 - 2*c_0101_1, c_0101_0 - c_0101_5, c_0101_1^2 + 4*c_0101_5 + 1, c_0101_4 - 2*c_0101_5 - 2, c_0101_5^2 + 3*c_0101_5 + 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 4152891193/110712200*c_0101_6^10 + 21642298983/55356100*c_0101_6^9 - 37020454749/55356100*c_0101_6^8 - 202980079543/110712200*c_0101_6^7 + 11757631928/2767805*c_0101_6^6 - 313628532877/110712200*c_0101_6^5 + 38390338997/22142440*c_0101_6^4 - 87451663043/110712200*c_0101_6^3 + 5022988339/11071220*c_0101_6^2 - 2648202399/13839025*c_0101_6 + 3405283557/110712200, c_0011_0 - 1, c_0011_3 + 1059741/2767805*c_0101_1*c_0101_6^10 - 22755159/5535610*c_0101_1*c_0101_6^9 + 45275987/5535610*c_0101_1*c_0101_6^8 + 86268347/5535610*c_0101_1*c_0101_6^7 - 26651346/553561*c_0101_1*c_0101_6^6 + 134550604/2767805*c_0101_1*c_0101_6^5 - 38301705/1107122*c_0101_1*c_0101_6^4 + 38548796/2767805*c_0101_1*c_0101_6^3 - 8089417/1107122*c_0101_1*c_0101_6^2 + 18603283/5535610*c_0101_1*c_0101_6 - 9833983/5535610*c_0101_1, c_0101_0 - 1150509/2767805*c_0101_6^10 + 11804663/2767805*c_0101_6^9 - 18797404/2767805*c_0101_6^8 - 57143669/2767805*c_0101_6^7 + 23445489/553561*c_0101_6^6 - 78938291/2767805*c_0101_6^5 + 13454194/553561*c_0101_6^4 - 22377199/2767805*c_0101_6^3 + 1470228/553561*c_0101_6^2 - 4260186/2767805*c_0101_6 + 895371/2767805, c_0101_1^2 - 1136854/2767805*c_0101_6^10 + 11822943/2767805*c_0101_6^9 - 19420779/2767805*c_0101_6^8 - 61931174/2767805*c_0101_6^7 + 27287396/553561*c_0101_6^6 - 50238141/2767805*c_0101_6^5 - 2435600/553561*c_0101_6^4 - 7626299/2767805*c_0101_6^3 + 1348613/553561*c_0101_6^2 - 2039111/2767805*c_0101_6 - 56894/2767805, c_0101_4 + 8649409/5535610*c_0101_6^10 - 45511884/2767805*c_0101_6^9 + 81156987/2767805*c_0101_6^8 + 417378729/5535610*c_0101_6^7 - 103792355/553561*c_0101_6^6 + 698309861/5535610*c_0101_6^5 - 71880137/1107122*c_0101_6^4 + 180635899/5535610*c_0101_6^3 - 10594347/553561*c_0101_6^2 + 20876113/2767805*c_0101_6 - 7766971/5535610, c_0101_5 + 6090017/5535610*c_0101_6^10 - 31457752/2767805*c_0101_6^9 + 51195926/2767805*c_0101_6^8 + 311208237/5535610*c_0101_6^7 - 66728332/553561*c_0101_6^6 + 376817833/5535610*c_0101_6^5 - 41116961/1107122*c_0101_6^4 + 91826207/5535610*c_0101_6^3 - 5598159/553561*c_0101_6^2 + 6520394/2767805*c_0101_6 - 1296453/5535610, c_0101_6^11 - 11*c_0101_6^10 + 24*c_0101_6^9 + 37*c_0101_6^8 - 139*c_0101_6^7 + 149*c_0101_6^6 - 106*c_0101_6^5 + 56*c_0101_6^4 - 29*c_0101_6^3 + 14*c_0101_6^2 - 5*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB