Magma V2.19-8 Tue Aug 20 2013 23:29:42 on localhost [Seed = 2665019596] Type ? for help. Type -D to quit. Loading file "K12n473__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n473 geometric_solution 8.30820956 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191674843977 0.617227934144 0 5 4 6 0132 0132 3201 0132 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 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795649860496 1.074029592775 3 0 8 7 2031 0132 0132 0132 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 0 0 0 -1 0 0 1 -14 0 0 14 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541128912453 1.477648540248 7 6 2 0 0132 1023 1302 0132 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 1 -1 -1 0 1 0 0 -13 0 13 -1 -13 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596088282619 0.839326100262 1 8 0 5 2310 0213 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.266302882071 1.501525775636 7 1 8 4 3012 0132 2103 1023 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 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655825901789 0.691053977868 3 8 1 7 1023 2103 0132 2031 0 0 0 0 0 0 0 0 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 13 1 0 -14 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398507437027 0.409547263262 3 6 2 5 0132 1302 0132 1230 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 1 0 -1 0 1 -1 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869336228357 0.879998577808 5 6 4 2 2103 2103 0213 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 -1 1 0 0 0 0 0 0 1 0 -1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376729183174 0.990251101946 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_3'], 'c_1001_8' : d['c_0011_3'], 's_2_8' : 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_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : d['c_0110_5'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0110_5'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0011_3'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_4'], 'c_0110_8' : d['c_0101_2'], '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_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4219/14*c_0110_5^8 + 2901/2*c_0110_5^7 - 6133/7*c_0110_5^6 - 30927/7*c_0110_5^5 + 54471/14*c_0110_5^4 + 6991/2*c_0110_5^3 - 22849/14*c_0110_5^2 - 2823/2*c_0110_5 - 2571/7, c_0011_0 - 1, c_0011_3 + 2*c_0110_5^8 - 8*c_0110_5^7 + 27*c_0110_5^5 - 6*c_0110_5^4 - 17*c_0110_5^3 - 2*c_0110_5 - 1, c_0011_4 + 3*c_0110_5^7 - 11*c_0110_5^6 - 4*c_0110_5^5 + 40*c_0110_5^4 + 6*c_0110_5^3 - 28*c_0110_5^2 - 13*c_0110_5 - 3, c_0011_8 - c_0110_5^7 + 3*c_0110_5^6 + 4*c_0110_5^5 - 13*c_0110_5^4 - 12*c_0110_5^3 + 11*c_0110_5^2 + 12*c_0110_5 + 2, c_0101_0 - 3*c_0110_5^8 + 13*c_0110_5^7 - 3*c_0110_5^6 - 44*c_0110_5^5 + 20*c_0110_5^4 + 38*c_0110_5^3 - 5*c_0110_5^2 - 11*c_0110_5 - 4, c_0101_1 - c_0110_5, c_0101_2 - 2*c_0110_5^8 + 8*c_0110_5^7 - 27*c_0110_5^5 + 6*c_0110_5^4 + 17*c_0110_5^3 + c_0110_5^2 + c_0110_5, c_0110_5^9 - 4*c_0110_5^8 - c_0110_5^7 + 17*c_0110_5^6 - c_0110_5^5 - 22*c_0110_5^4 - 4*c_0110_5^3 + 9*c_0110_5^2 + 5*c_0110_5 + 1, c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB