Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3465499165] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1332 geometric_solution 5.21170583 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 1 -2 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409824025646 0.496322628106 3 3 4 0 0132 3201 0132 0132 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 0 0 0 0 -0.066063454848 1.806754632424 5 5 0 4 0132 3201 0132 3201 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 -1 2 -1 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 -0.066063454848 1.806754632424 1 5 1 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.469012382348 0.847371312985 6 2 6 1 0132 2310 1023 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 1 0 -1 0 0 0 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 0.615285465709 0.563388392203 2 3 2 3 0132 1302 2310 2031 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 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 -0.469012382348 0.847371312985 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.550555350125 0.122711147981 ==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' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 36416817/2627*c_0101_4^16 + 184456693/5254*c_0101_4^15 + 575951655/2627*c_0101_4^14 + 1551597638/2627*c_0101_4^13 + 97514257/71*c_0101_4^12 + 12867841707/5254*c_0101_4^11 + 8244183952/2627*c_0101_4^10 + 10456779233/2627*c_0101_4^9 + 17244313405/5254*c_0101_4^8 + 4381065654/2627*c_0101_4^7 + 4072480156/2627*c_0101_4^6 + 1194856478/2627*c_0101_4^5 - 6286123821/5254*c_0101_4^4 - 61582847/71*c_0101_4^3 + 48225048/2627*c_0101_4^2 + 377836077/2627*c_0101_4 + 155030863/5254, c_0011_0 - 1, c_0011_1 - 260587420/2627*c_0101_4^16 - 655978320/2627*c_0101_4^15 - 4113351896/2627*c_0101_4^14 - 11043887215/2627*c_0101_4^13 - 694030408/71*c_0101_4^12 - 45715938864/2627*c_0101_4^11 - 58454947103/2627*c_0101_4^10 - 74195433033/2627*c_0101_4^9 - 60864802062/2627*c_0101_4^8 - 30817352414/2627*c_0101_4^7 - 28903948345/2627*c_0101_4^6 - 8198562150/2627*c_0101_4^5 + 22458726191/2627*c_0101_4^4 + 432423819/71*c_0101_4^3 - 426371653/2627*c_0101_4^2 - 2660563816/2627*c_0101_4 - 539868717/2627, c_0011_2 - 260587420/2627*c_0101_4^16 - 655978320/2627*c_0101_4^15 - 4113351896/2627*c_0101_4^14 - 11043887215/2627*c_0101_4^13 - 694030408/71*c_0101_4^12 - 45715938864/2627*c_0101_4^11 - 58454947103/2627*c_0101_4^10 - 74195433033/2627*c_0101_4^9 - 60864802062/2627*c_0101_4^8 - 30817352414/2627*c_0101_4^7 - 28903948345/2627*c_0101_4^6 - 8198562150/2627*c_0101_4^5 + 22458726191/2627*c_0101_4^4 + 432423819/71*c_0101_4^3 - 426371653/2627*c_0101_4^2 - 2660563816/2627*c_0101_4 - 539868717/2627, c_0011_4 - 9193857/71*c_0101_4^16 - 23156309/71*c_0101_4^15 - 145149898/71*c_0101_4^14 - 389828357/71*c_0101_4^13 - 906435291/71*c_0101_4^12 - 1613941355/71*c_0101_4^11 - 2064075692/71*c_0101_4^10 - 2619703673/71*c_0101_4^9 - 2150001921/71*c_0101_4^8 - 1088947853/71*c_0101_4^7 - 1020441817/71*c_0101_4^6 - 290315449/71*c_0101_4^5 + 792492089/71*c_0101_4^4 + 565519760/71*c_0101_4^3 - 14762274/71*c_0101_4^2 - 94023993/71*c_0101_4 - 19102320/71, c_0101_1 - 9908463/71*c_0101_4^16 - 24956794/71*c_0101_4^15 - 156433233/71*c_0101_4^14 - 420137745/71*c_0101_4^13 - 976912432/71*c_0101_4^12 - 1739440714/71*c_0101_4^11 - 2224599833/71*c_0101_4^10 - 2823432395/71*c_0101_4^9 - 2317255126/71*c_0101_4^8 - 1173686146/71*c_0101_4^7 - 1099800090/71*c_0101_4^6 - 312939934/71*c_0101_4^5 + 854088080/71*c_0101_4^4 + 609527111/71*c_0101_4^3 - 15892526/71*c_0101_4^2 - 101339253/71*c_0101_4 - 20589927/71, c_0101_2 - 137214865/2627*c_0101_4^16 - 345172211/2627*c_0101_4^15 - 2165430783/2627*c_0101_4^14 - 5811709394/2627*c_0101_4^13 - 365217510/71*c_0101_4^12 - 24052436556/2627*c_0101_4^11 - 30746931266/2627*c_0101_4^10 - 39029599158/2627*c_0101_4^9 - 31998346345/2627*c_0101_4^8 - 16194210501/2627*c_0101_4^7 - 15206416590/2627*c_0101_4^6 - 4296567214/2627*c_0101_4^5 + 11824071172/2627*c_0101_4^4 + 227157658/71*c_0101_4^3 - 230216323/2627*c_0101_4^2 - 1397933861/2627*c_0101_4 - 283176692/2627, c_0101_4^17 + 3*c_0101_4^16 + 17*c_0101_4^15 + 50*c_0101_4^14 + 119*c_0101_4^13 + 223*c_0101_4^12 + 309*c_0101_4^11 + 393*c_0101_4^10 + 371*c_0101_4^9 + 231*c_0101_4^8 + 168*c_0101_4^7 + 85*c_0101_4^6 - 71*c_0101_4^5 - 103*c_0101_4^4 - 28*c_0101_4^3 + 11*c_0101_4^2 + 7*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB