Magma V2.19-8 Tue Aug 20 2013 16:17:22 on localhost [Seed = 442205910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1594 geometric_solution 5.36205884 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754199907692 0.083074061687 0 2 0 2 0132 0132 1023 1023 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 1 -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 0.614698110206 0.233764068658 3 1 4 1 0132 0132 0132 1023 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 0 0 0 0 0 0 -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 0.856717854186 1.804252425619 2 4 6 5 0132 3201 0132 0132 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 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029891252799 1.002908467445 5 6 3 2 3201 0132 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029891252799 1.002908467445 5 5 3 4 1230 3012 0132 2310 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 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 1.027338443710 1.033328986694 6 4 6 3 2031 0132 1302 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482988666146 0.513113925133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_5']), '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_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' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t + 2417189/1221809*c_0101_3^16 - 31607315/1221809*c_0101_3^15 + 76393440/1221809*c_0101_3^14 - 26030639/1221809*c_0101_3^13 - 515687834/1221809*c_0101_3^12 + 438737107/1221809*c_0101_3^11 + 32800984/23053*c_0101_3^10 - 825350387/1221809*c_0101_3^9 - 3037465292/1221809*c_0101_3^8 + 388709026/1221809*c_0101_3^7 + 2789990587/1221809*c_0101_3^6 + 217029214/1221809*c_0101_3^5 - 1375672601/1221809*c_0101_3^4 - 208332243/1221809*c_0101_3^3 + 453001449/1221809*c_0101_3^2 + 53411462/1221809*c_0101_3 - 84555121/1221809, c_0011_0 - 1, c_0011_4 - 518068/1221809*c_0011_5*c_0101_3^16 + 1656721/1221809*c_0011_5*c_0101_3^15 - 2006534/1221809*c_0011_5*c_0101_3^14 - 8560707/1221809*c_0011_5*c_0101_3^13 + 14917021/1221809*c_0011_5*c_0101_3^12 + 31690453/1221809*c_0011_5*c_0101_3^11 - 555228/23053*c_0011_5*c_0101_3^10 - 67014580/1221809*c_0011_5*c_0101_3^9 + 12007011/1221809*c_0011_5*c_0101_3^8 + 75341402/1221809*c_0011_5*c_0101_3^7 + 22208348/1221809*c_0011_5*c_0101_3^6 - 40080591/1221809*c_0011_5*c_0101_3^5 - 25333472/1221809*c_0011_5*c_0101_3^4 + 9407405/1221809*c_0011_5*c_0101_3^3 + 8354081/1221809*c_0011_5*c_0101_3^2 - 1769346/1221809*c_0011_5*c_0101_3 - 1624263/1221809*c_0011_5, c_0011_5^2 + 878219/1221809*c_0101_3^16 - 2833047/1221809*c_0101_3^15 + 3115596/1221809*c_0101_3^14 + 16878085/1221809*c_0101_3^13 - 31517328/1221809*c_0101_3^12 - 52717944/1221809*c_0101_3^11 + 1543551/23053*c_0101_3^10 + 91724508/1221809*c_0101_3^9 - 104971532/1221809*c_0101_3^8 - 81156341/1221809*c_0101_3^7 + 77423482/1221809*c_0101_3^6 + 31443915/1221809*c_0101_3^5 - 35736994/1221809*c_0101_3^4 - 2943462/1221809*c_0101_3^3 + 8630471/1221809*c_0101_3^2 + 94484/1221809*c_0101_3 - 1172801/1221809, c_0101_0 + 1341514/1221809*c_0101_3^16 - 3205035/1221809*c_0101_3^15 + 1871399/1221809*c_0101_3^14 + 26833885/1221809*c_0101_3^13 - 21809515/1221809*c_0101_3^12 - 110163420/1221809*c_0101_3^11 + 452303/23053*c_0101_3^10 + 221935091/1221809*c_0101_3^9 + 47540445/1221809*c_0101_3^8 - 226429481/1221809*c_0101_3^7 - 116216640/1221809*c_0101_3^6 + 113415453/1221809*c_0101_3^5 + 89611528/1221809*c_0101_3^4 - 27752046/1221809*c_0101_3^3 - 31831480/1221809*c_0101_3^2 + 3658397/1221809*c_0101_3 + 5289842/1221809, c_0101_1 - 3315697/1221809*c_0101_3^16 + 9069102/1221809*c_0101_3^15 - 8601724/1221809*c_0101_3^14 - 61993266/1221809*c_0101_3^13 + 75877807/1221809*c_0101_3^12 + 226849553/1221809*c_0101_3^11 - 2519214/23053*c_0101_3^10 - 424711240/1221809*c_0101_3^9 + 46572437/1221809*c_0101_3^8 + 408481130/1221809*c_0101_3^7 + 73748422/1221809*c_0101_3^6 - 202268688/1221809*c_0101_3^5 - 69451233/1221809*c_0101_3^4 + 61945866/1221809*c_0101_3^3 + 23580776/1221809*c_0101_3^2 - 11108171/1221809*c_0101_3 - 3641168/1221809, c_0101_2 + 518068/1221809*c_0101_3^16 - 1656721/1221809*c_0101_3^15 + 2006534/1221809*c_0101_3^14 + 8560707/1221809*c_0101_3^13 - 14917021/1221809*c_0101_3^12 - 31690453/1221809*c_0101_3^11 + 555228/23053*c_0101_3^10 + 67014580/1221809*c_0101_3^9 - 12007011/1221809*c_0101_3^8 - 75341402/1221809*c_0101_3^7 - 22208348/1221809*c_0101_3^6 + 40080591/1221809*c_0101_3^5 + 25333472/1221809*c_0101_3^4 - 9407405/1221809*c_0101_3^3 - 8354081/1221809*c_0101_3^2 + 547537/1221809*c_0101_3 + 1624263/1221809, c_0101_3^17 - 3*c_0101_3^16 + 3*c_0101_3^15 + 19*c_0101_3^14 - 29*c_0101_3^13 - 68*c_0101_3^12 + 68*c_0101_3^11 + 136*c_0101_3^10 - 69*c_0101_3^9 - 153*c_0101_3^8 + 30*c_0101_3^7 + 99*c_0101_3^6 - 3*c_0101_3^5 - 40*c_0101_3^4 - c_0101_3^3 + 10*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB