Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 4155927508] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s323 geometric_solution 4.50502660 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298448308354 0.151905066223 2 0 3 0 0132 2310 0132 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 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 0.040316638938 1.202617896718 1 3 4 3 0132 3201 0132 1230 0 0 0 0 0 0 1 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287970351401 1.406922323708 2 4 2 1 3012 1023 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.287970351401 1.406922323708 3 5 5 2 1023 0132 3201 0132 0 0 0 0 0 1 0 -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 -1 0 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 0.574694300136 0.238213867344 4 4 5 5 2310 0132 1230 3012 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 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 1.386431860453 0.796400271893 ==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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_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_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2299972187/94033151*c_0101_5^14 - 4329899490/94033151*c_0101_5^13 - 8089860478/94033151*c_0101_5^12 + 14244366883/94033151*c_0101_5^11 - 28817446908/94033151*c_0101_5^10 + 11472601338/94033151*c_0101_5^9 - 18321884445/94033151*c_0101_5^8 - 74042934881/94033151*c_0101_5^7 + 269473364323/94033151*c_0101_5^6 + 147246244066/94033151*c_0101_5^5 - 340595397426/94033151*c_0101_5^4 - 133585583635/94033151*c_0101_5^3 + 138621471304/94033151*c_0101_5^2 + 38562162924/94033151*c_0101_5 - 15755934992/94033151, c_0011_0 - 1, c_0011_1 + 131048043/94033151*c_0101_5^14 - 378886365/94033151*c_0101_5^13 - 75755951/94033151*c_0101_5^12 + 890432843/94033151*c_0101_5^11 - 2579600515/94033151*c_0101_5^10 + 3272664697/94033151*c_0101_5^9 - 4307052560/94033151*c_0101_5^8 - 17384838/94033151*c_0101_5^7 + 15619475034/94033151*c_0101_5^6 - 7689598370/94033151*c_0101_5^5 - 11150125487/94033151*c_0101_5^4 + 5098619465/94033151*c_0101_5^3 + 1657521558/94033151*c_0101_5^2 - 972082643/94033151*c_0101_5 + 164952388/94033151, c_0011_3 + 170434617/94033151*c_0101_5^14 - 505821622/94033151*c_0101_5^13 - 50351032/94033151*c_0101_5^12 + 1138578501/94033151*c_0101_5^11 - 3451554917/94033151*c_0101_5^10 + 4563243211/94033151*c_0101_5^9 - 6114869640/94033151*c_0101_5^8 + 644876465/94033151*c_0101_5^7 + 19911595259/94033151*c_0101_5^6 - 11487786310/94033151*c_0101_5^5 - 12772322546/94033151*c_0101_5^4 + 7481024615/94033151*c_0101_5^3 + 1292087072/94033151*c_0101_5^2 - 1653463985/94033151*c_0101_5 + 305009080/94033151, c_0101_0 + 518221085/94033151*c_0101_5^14 - 1437872976/94033151*c_0101_5^13 - 434178457/94033151*c_0101_5^12 + 3439360382/94033151*c_0101_5^11 - 9949527659/94033151*c_0101_5^10 + 11871015986/94033151*c_0101_5^9 - 16004462090/94033151*c_0101_5^8 - 2157688656/94033151*c_0101_5^7 + 61204163342/94033151*c_0101_5^6 - 24946723340/94033151*c_0101_5^5 - 44412523045/94033151*c_0101_5^4 + 19186560612/94033151*c_0101_5^3 + 7074490334/94033151*c_0101_5^2 - 4803869435/94033151*c_0101_5 + 743302279/94033151, c_0101_3 - 12904614/94033151*c_0101_5^14 - 1640331/94033151*c_0101_5^13 + 100737734/94033151*c_0101_5^12 - 7396080/94033151*c_0101_5^11 + 1141885/94033151*c_0101_5^10 + 302316924/94033151*c_0101_5^9 - 167828858/94033151*c_0101_5^8 + 772058985/94033151*c_0101_5^7 - 939606812/94033151*c_0101_5^6 - 3900399815/94033151*c_0101_5^5 + 859178096/94033151*c_0101_5^4 + 4076029698/94033151*c_0101_5^3 + 145589599/94033151*c_0101_5^2 - 863732519/94033151*c_0101_5 + 151556172/94033151, c_0101_5^15 - 2*c_0101_5^14 - 3*c_0101_5^13 + 6*c_0101_5^12 - 14*c_0101_5^11 + 8*c_0101_5^10 - 13*c_0101_5^9 - 28*c_0101_5^8 + 115*c_0101_5^7 + 44*c_0101_5^6 - 124*c_0101_5^5 - 31*c_0101_5^4 + 43*c_0101_5^3 + 2*c_0101_5^2 - 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB