Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 1595851301] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3251 geometric_solution 6.38144697 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 0 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.415120046938 0.610822177899 0 4 2 5 0132 0321 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524618821368 1.020841650044 3 0 6 1 2103 0132 0132 1302 0 0 0 0 0 0 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 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 0 0.383783654891 1.032508393783 6 4 2 0 2310 2031 2103 0132 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 1 0 -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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383783654891 1.032508393783 3 5 0 1 1302 1023 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524618821368 1.020841650044 4 5 1 5 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540582507484 0.483371170989 6 6 3 2 1230 3012 3201 0132 0 0 0 0 0 1 -1 0 -1 0 1 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 -1 0 1 1 0 -1 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 0.263379130566 0.425915774955 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(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' : 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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0110_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0110_5'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : 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_0011_4, c_0011_6, c_0101_0, c_0110_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 875/2782*c_0110_5^10 + 2253/5564*c_0110_5^9 - 3071/2782*c_0110_5^8 - 18623/2782*c_0110_5^7 - 80931/5564*c_0110_5^6 - 107175/5564*c_0110_5^5 - 25655/1391*c_0110_5^4 - 91801/5564*c_0110_5^3 - 40167/2782*c_0110_5^2 - 29997/2782*c_0110_5 - 1779/428, c_0011_0 - 1, c_0011_3 - 641/1391*c_0110_5^10 - 512/4173*c_0110_5^9 + 9376/4173*c_0110_5^8 + 29137/4173*c_0110_5^7 + 47519/4173*c_0110_5^6 + 53489/4173*c_0110_5^5 + 51137/4173*c_0110_5^4 + 52360/4173*c_0110_5^3 + 13339/1391*c_0110_5^2 + 21901/4173*c_0110_5 + 3815/1391, c_0011_4 - 212/1391*c_0110_5^10 + 265/1391*c_0110_5^9 + 83/107*c_0110_5^8 + 1734/1391*c_0110_5^7 + 150/1391*c_0110_5^6 - 1541/1391*c_0110_5^5 - 1718/1391*c_0110_5^4 - 225/1391*c_0110_5^3 - 1570/1391*c_0110_5^2 - 2020/1391*c_0110_5 - 823/1391, c_0011_6 + 734/1391*c_0110_5^10 + 1367/4173*c_0110_5^9 - 12133/4173*c_0110_5^8 - 36982/4173*c_0110_5^7 - 57731/4173*c_0110_5^6 - 59327/4173*c_0110_5^5 - 52937/4173*c_0110_5^4 - 58549/4173*c_0110_5^3 - 15617/1391*c_0110_5^2 - 16396/4173*c_0110_5 - 2655/1391, c_0101_0 + 775/4173*c_0110_5^10 + 556/4173*c_0110_5^9 - 4163/4173*c_0110_5^8 - 12661/4173*c_0110_5^7 - 22981/4173*c_0110_5^6 - 26560/4173*c_0110_5^5 - 27791/4173*c_0110_5^4 - 717/107*c_0110_5^3 - 1784/321*c_0110_5^2 - 3974/1391*c_0110_5 - 2746/1391, c_0110_2 - 1, c_0110_5^11 + c_0110_5^10 - 5*c_0110_5^9 - 19*c_0110_5^8 - 34*c_0110_5^7 - 40*c_0110_5^6 - 38*c_0110_5^5 - 39*c_0110_5^4 - 35*c_0110_5^3 - 21*c_0110_5^2 - 9*c_0110_5 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB