Magma V2.19-8 Tue Aug 20 2013 23:29:42 on localhost [Seed = 2901068542] Type ? for help. Type -D to quit. Loading file "K12n473__sl2_c0.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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : 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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : 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' : 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_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: 6 Groebner basis: [ t + 1555299/256*c_0110_6^5 - 55843695/1792*c_0110_6^4 + 10472059/128*c_0110_6^3 - 142954403/896*c_0110_6^2 + 11125559/256*c_0110_6 - 36011099/1792, c_0011_0 - 1, c_0011_3 + 7/64*c_0110_6^5 - 31/64*c_0110_6^4 + 37/32*c_0110_6^3 - 69/32*c_0110_6^2 - 49/64*c_0110_6 + 9/64, c_0011_4 - 7/64*c_0110_6^5 + 19/32*c_0110_6^4 - 49/32*c_0110_6^3 + 5/2*c_0110_6^2 + 1/64*c_0110_6 + 9/32, c_0011_8 - 21/128*c_0110_6^5 + 121/128*c_0110_6^4 - 173/64*c_0110_6^3 + 341/64*c_0110_6^2 - 337/128*c_0110_6 + 29/128, c_0101_0 + 1/2*c_0110_6 + 1/2, c_0101_1 + 77/128*c_0110_6^5 - 397/128*c_0110_6^4 + 517/64*c_0110_6^3 - 993/64*c_0110_6^2 + 489/128*c_0110_6 - 113/128, c_0101_2 - 35/128*c_0110_6^5 + 183/128*c_0110_6^4 - 247/64*c_0110_6^3 + 479/64*c_0110_6^2 - 303/128*c_0110_6 + 75/128, c_0110_5 - 7/128*c_0110_6^5 + 31/128*c_0110_6^4 - 23/64*c_0110_6^3 + 35/64*c_0110_6^2 + 117/128*c_0110_6 - 37/128, c_0110_6^6 - 38/7*c_0110_6^5 + 15*c_0110_6^4 - 212/7*c_0110_6^3 + 15*c_0110_6^2 - 38/7*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB