Magma V2.19-8 Tue Aug 20 2013 23:29:32 on localhost [Seed = 829904733] Type ? for help. Type -D to quit. Loading file "K11a343__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a343 geometric_solution 5.89362704 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 -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 1.079097079236 0.427557402863 0 5 6 6 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 0 0 1 -1 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 0.407582187861 0.358144270417 3 0 7 7 1230 0132 2310 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 0.868630040151 0.623709784149 4 2 6 0 1230 3012 0213 0132 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 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 2.350986052420 1.268080651522 5 3 0 5 0321 3012 0132 1302 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 0 0 0 1 -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 0.606622898711 0.675498547486 4 1 4 6 0321 0132 2031 2310 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 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 0.643778860086 1.105482966510 5 3 1 1 3201 0213 0132 3012 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 -1 1 0 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 -0.266529586482 1.100376522178 7 2 2 7 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.920527289939 0.296256273135 ==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_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0011_7'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_7'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 20263791/6274775*c_0110_6^14 + 8389347/6274775*c_0110_6^13 + 11109741/1254955*c_0110_6^12 - 57943333/6274775*c_0110_6^11 - 360366/11225*c_0110_6^10 - 465901166/6274775*c_0110_6^9 - 863755619/6274775*c_0110_6^8 - 36389204/250991*c_0110_6^7 - 838322237/6274775*c_0110_6^6 - 510999846/6274775*c_0110_6^5 - 190448433/6274775*c_0110_6^4 - 118367696/6274775*c_0110_6^3 - 335221508/6274775*c_0110_6^2 - 256306364/6274775*c_0110_6 - 81641849/6274775, c_0011_0 - 1, c_0011_3 + c_0110_6^7 + 4*c_0110_6^5 + 4*c_0110_6^3, c_0011_4 + c_0110_6^2 + 1, c_0011_6 - c_0110_6^4 - 3*c_0110_6^2 - 1, c_0011_7 + c_0110_6^14 + 7*c_0110_6^12 + 18*c_0110_6^10 + 19*c_0110_6^8 + 6*c_0110_6^6 + 2*c_0110_6^4 + 4*c_0110_6^2 - 1, c_0101_1 - c_0110_6^3 - 2*c_0110_6, c_0101_2 + c_0110_6^6 + 3*c_0110_6^4 + 2*c_0110_6^2 - 1, c_0110_6^15 + c_0110_6^14 + 8*c_0110_6^13 + 7*c_0110_6^12 + 24*c_0110_6^11 + 18*c_0110_6^10 + 32*c_0110_6^9 + 19*c_0110_6^8 + 18*c_0110_6^7 + 6*c_0110_6^6 + 8*c_0110_6^5 + 2*c_0110_6^4 + 8*c_0110_6^3 + 4*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB