Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 3532869539] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2871 geometric_solution 6.08754805 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 -1 0 1 0 0 0 0 -1 0 0 1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663415283290 0.523174704561 0 5 5 2 0132 0132 3201 2310 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 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 0.287848581712 0.716471946987 1 0 5 6 3201 0132 3120 0132 0 0 0 0 0 1 -1 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 1 -1 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 -0.731065761930 1.329700167549 6 3 3 0 1023 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885687079670 0.485079855710 6 4 0 4 0132 1302 0132 2031 0 0 0 0 0 1 -1 0 1 0 0 -1 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 -1 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 1.098292767630 0.522087558029 1 1 2 6 2310 0132 3120 0213 0 0 0 0 0 0 0 0 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 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 0.517185572285 1.201753335036 4 3 2 5 0132 1023 0132 0213 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 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 0.663415283290 0.523174704561 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 111229163/167858768*c_0101_6^9 + 625925/8834672*c_0101_6^8 - 337961031/41964692*c_0101_6^7 - 1285303529/167858768*c_0101_6^6 + 82438641/7629944*c_0101_6^5 - 280236601/167858768*c_0101_6^4 - 2315800209/83929384*c_0101_6^3 - 385847461/83929384*c_0101_6^2 + 3884422677/167858768*c_0101_6 - 571376171/83929384, c_0011_0 - 1, c_0011_3 + 35177/435512*c_0101_6^9 - 57499/435512*c_0101_6^8 - 72841/108878*c_0101_6^7 + 16229/435512*c_0101_6^6 + 11439/19796*c_0101_6^5 - 143587/435512*c_0101_6^4 - 389227/217756*c_0101_6^3 + 28885/217756*c_0101_6^2 + 365175/435512*c_0101_6 + 29527/217756, c_0101_0 - 44791/217756*c_0101_6^9 + 47753/217756*c_0101_6^8 + 111154/54439*c_0101_6^7 + 73069/217756*c_0101_6^6 - 22371/9898*c_0101_6^5 + 614541/217756*c_0101_6^4 + 600867/108878*c_0101_6^3 - 252669/108878*c_0101_6^2 - 459005/217756*c_0101_6 + 203673/108878, c_0101_1 - 94795/435512*c_0101_6^9 + 184377/435512*c_0101_6^8 + 213111/108878*c_0101_6^7 - 604847/435512*c_0101_6^6 - 58349/19796*c_0101_6^5 + 1647889/435512*c_0101_6^4 + 712589/217756*c_0101_6^3 - 1486119/217756*c_0101_6^2 - 790429/435512*c_0101_6 + 648595/217756, c_0101_3 + 11493/217756*c_0101_6^9 + 1481/217756*c_0101_6^8 - 28774/54439*c_0101_6^7 - 180227/217756*c_0101_6^6 - 893/9898*c_0101_6^5 + 50405/217756*c_0101_6^4 - 148803/108878*c_0101_6^3 - 119033/108878*c_0101_6^2 + 67435/217756*c_0101_6 + 67777/108878, c_0101_5 - 1, c_0101_6^10 - c_0101_6^9 - 10*c_0101_6^8 - 3*c_0101_6^7 + 12*c_0101_6^6 - 7*c_0101_6^5 - 28*c_0101_6^4 + 6*c_0101_6^3 + 19*c_0101_6^2 - 4*c_0101_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB