Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2715827591] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s132 geometric_solution 4.15712331 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0.337214272346 4.039257394225 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310865554538 0.160156758682 3 0 4 3 3201 0132 0132 3120 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 -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 0.287939041764 0.518882196579 2 4 0 2 3120 0132 0132 2310 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 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 0.287939041764 0.518882196579 5 3 5 2 0132 0132 1023 0132 0 0 0 0 0 1 -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 0 1 -1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214109896737 0.494146804930 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 -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 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598432187672 0.261705702084 ==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_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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0101_0, c_0101_2, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 138957/29632*c_1001_2^9 - 356537/14816*c_1001_2^8 - 76819/3704*c_1001_2^7 + 5985923/29632*c_1001_2^6 + 5252273/29632*c_1001_2^5 - 9880649/29632*c_1001_2^4 - 3531343/14816*c_1001_2^3 + 265075/926*c_1001_2^2 + 3282133/29632*c_1001_2 - 757571/7408, c_0011_0 - 1, c_0011_3 + 9601/3704*c_1001_2^9 - 25261/1852*c_1001_2^8 - 4616/463*c_1001_2^7 + 421791/3704*c_1001_2^6 + 322189/3704*c_1001_2^5 - 758773/3704*c_1001_2^4 - 250783/1852*c_1001_2^3 + 76477/463*c_1001_2^2 + 228921/3704*c_1001_2 - 51335/926, c_0101_0 + 8367/7408*c_1001_2^9 - 22727/3704*c_1001_2^8 - 3389/926*c_1001_2^7 + 386097/7408*c_1001_2^6 + 223459/7408*c_1001_2^5 - 799563/7408*c_1001_2^4 - 201673/3704*c_1001_2^3 + 44213/463*c_1001_2^2 + 211207/7408*c_1001_2 - 61663/1852, c_0101_2 + 835/926*c_1001_2^9 - 2345/463*c_1001_2^8 - 907/463*c_1001_2^7 + 38511/926*c_1001_2^6 + 16309/926*c_1001_2^5 - 81691/926*c_1001_2^4 - 15943/463*c_1001_2^3 + 35630/463*c_1001_2^2 + 15917/926*c_1001_2 - 11701/463, c_0101_4 + 17229/7408*c_1001_2^9 - 46517/3704*c_1001_2^8 - 6683/926*c_1001_2^7 + 762259/7408*c_1001_2^6 + 484649/7408*c_1001_2^5 - 1425857/7408*c_1001_2^4 - 393939/3704*c_1001_2^3 + 73326/463*c_1001_2^2 + 368965/7408*c_1001_2 - 97269/1852, c_1001_2^10 - 6*c_1001_2^9 + 47*c_1001_2^7 + c_1001_2^6 - 105*c_1001_2^5 + 6*c_1001_2^4 + 104*c_1001_2^3 - 23*c_1001_2^2 - 40*c_1001_2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB