Magma V2.19-8 Tue Aug 20 2013 16:08:58 on localhost [Seed = 2682126628] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m230 geometric_solution 4.14877748 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 0.470883714200 1.012349720235 0 2 4 2 0132 2031 0132 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 0 0 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609692484865 0.462579368967 1 0 1 4 1302 0132 2031 0132 0 0 0 0 0 1 -1 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 -1 1 0 0 -1 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 0.609692484865 0.462579368967 3 0 3 0 2310 2310 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.797932165888 0.508877500917 4 4 2 1 1302 2031 0132 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 -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 0.658271693016 0.693823198192 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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_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_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], '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_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), '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 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4261/57*c_0101_1^10 + 973/19*c_0101_1^9 - 15043/57*c_0101_1^8 + 19522/57*c_0101_1^7 + 4849/57*c_0101_1^6 - 43544/57*c_0101_1^5 + 19878/19*c_0101_1^4 - 14518/57*c_0101_1^3 - 26944/57*c_0101_1^2 + 41147/57*c_0101_1 - 18650/57, c_0011_0 - 1, c_0011_3 + 84/19*c_0101_1^10 + 61/19*c_0101_1^9 - 296/19*c_0101_1^8 + 364/19*c_0101_1^7 + 109/19*c_0101_1^6 - 841/19*c_0101_1^5 + 1125/19*c_0101_1^4 - 235/19*c_0101_1^3 - 520/19*c_0101_1^2 + 764/19*c_0101_1 - 352/19, c_0011_4 + 135/19*c_0101_1^10 + 96/19*c_0101_1^9 - 473/19*c_0101_1^8 + 604/19*c_0101_1^7 + 165/19*c_0101_1^6 - 1355/19*c_0101_1^5 + 1844/19*c_0101_1^4 - 434/19*c_0101_1^3 - 833/19*c_0101_1^2 + 1255/19*c_0101_1 - 563/19, c_0101_0 + 99/19*c_0101_1^10 + 59/19*c_0101_1^9 - 357/19*c_0101_1^8 + 486/19*c_0101_1^7 + 83/19*c_0101_1^6 - 1038/19*c_0101_1^5 + 1465/19*c_0101_1^4 - 412/19*c_0101_1^3 - 640/19*c_0101_1^2 + 1009/19*c_0101_1 - 461/19, c_0101_1^11 - 4*c_0101_1^9 + 7*c_0101_1^8 - 2*c_0101_1^7 - 11*c_0101_1^6 + 21*c_0101_1^5 - 13*c_0101_1^4 - 4*c_0101_1^3 + 14*c_0101_1^2 - 11*c_0101_1 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB