Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 3035965543] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1327 geometric_solution 5.21032042 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 3.906414865115 4.909893422571 0 1 0 1 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 -0.411009966572 0.243476198667 0 3 4 0 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015027554637 0.282371245984 4 2 4 5 2310 0132 2103 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544842066256 1.302461813650 3 6 3 2 2103 0132 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544842066256 1.302461813650 6 6 3 6 3012 0213 0132 2310 0 0 1 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 0 0 1 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726657756110 0.653433089649 5 4 5 5 3201 0132 0213 1230 0 1 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726657756110 0.653433089649 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3367943445/29327780056*c_1001_2^7 - 8126996129/7331945014*c_1001_2^6 + 81526541277/29327780056*c_1001_2^5 - 16816299445/7331945014*c_1001_2^4 - 164350191157/29327780056*c_1001_2^3 - 1232998589/318780218*c_1001_2^2 + 573718771443/29327780056*c_1001_2 - 139560482879/7331945014, c_0011_0 - 1, c_0011_2 - 168377/151174124*c_1001_2^7 + 863993/75587062*c_1001_2^6 - 1637129/37793531*c_1001_2^5 + 19487631/151174124*c_1001_2^4 - 23071387/151174124*c_1001_2^3 - 69247/1643197*c_1001_2^2 + 15921026/37793531*c_1001_2 + 146566671/151174124, c_0011_4 + 488041/151174124*c_1001_2^7 - 3719509/151174124*c_1001_2^6 + 2808475/151174124*c_1001_2^5 + 5049453/75587062*c_1001_2^4 - 41257849/151174124*c_1001_2^3 - 2496943/6572788*c_1001_2^2 + 92370677/151174124*c_1001_2 + 8748391/37793531, c_0011_5 - 1, c_0101_0 + 1231779/151174124*c_1001_2^7 - 2901851/37793531*c_1001_2^6 + 6381299/37793531*c_1001_2^5 - 6296755/151174124*c_1001_2^4 - 71076781/151174124*c_1001_2^3 - 722850/1643197*c_1001_2^2 + 108921409/75587062*c_1001_2 + 6272159/151174124, c_0101_3 - 488041/151174124*c_1001_2^7 + 3719509/151174124*c_1001_2^6 - 2808475/151174124*c_1001_2^5 - 5049453/75587062*c_1001_2^4 + 41257849/151174124*c_1001_2^3 + 2496943/6572788*c_1001_2^2 + 58803447/151174124*c_1001_2 - 8748391/37793531, c_1001_2^8 - 9*c_1001_2^7 + 18*c_1001_2^6 - 5*c_1001_2^5 - 60*c_1001_2^4 - 67*c_1001_2^3 + 146*c_1001_2^2 - 63*c_1001_2 - 97 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB