Magma V2.19-8 Tue Aug 20 2013 23:47:58 on localhost [Seed = 2395530477] Type ? for help. Type -D to quit. Loading file "K10n37__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n37 geometric_solution 11.60308465 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 1 -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 0.676055360123 0.731869991271 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386473431717 0.708641053396 8 0 10 9 0132 0132 0132 0132 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 -1 1 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 0.505710088180 1.142522493853 5 8 9 0 0132 0132 2103 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 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 0.558179752209 0.470318814473 11 9 0 8 0132 0132 0132 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 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 0.505710088180 1.142522493853 3 1 6 10 0132 0132 2103 0321 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 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 -0.186305353966 1.355734962553 5 12 1 12 2103 0132 0132 3012 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906776546659 0.705903200674 11 9 12 1 3120 0321 1302 0132 0 0 0 0 0 1 0 -1 1 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 1 0 -1 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 0.253082825262 0.402718771995 2 3 4 11 0132 0132 0132 2031 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 -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 0.676055360123 0.731869991271 3 4 2 7 2103 0132 0132 0321 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047704629077 0.882789454679 11 5 12 2 2031 0321 1230 0132 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 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 0 0.328805733871 0.149783407315 4 8 10 7 0132 1302 1302 3120 0 0 0 0 0 -1 0 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 0 -1 0 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 0.613213354923 0.543757370914 7 6 6 10 2031 0132 1230 3012 0 0 0 0 0 1 -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 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 0.313330559390 0.534555241550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0110_12'], 'c_1001_6' : negation(d['c_0011_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_12'], '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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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_9' : d['c_0110_12'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0110_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], '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_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_6'], '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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0110_12, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 91/256*c_1001_0^5 + 311/128*c_1001_0^4 + 221/128*c_1001_0^3 + 1179/128*c_1001_0^2 + 1297/128*c_1001_0 + 2255/256, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_0^5 - 2*c_1001_0^3 - c_1001_0 + 1/2, c_0011_11 - 3/4*c_1001_0^5 - 1/2*c_1001_0^4 - 5/2*c_1001_0^3 - 5/2*c_1001_0^2 - 3/2*c_1001_0 - 5/4, c_0011_12 + 1/4*c_1001_0^5 - 1/2*c_1001_0^4 + 1/2*c_1001_0^3 - 3/2*c_1001_0^2 - 1/2*c_1001_0 - 5/4, c_0011_7 + 1/2*c_1001_0^5 + 2*c_1001_0^3 + c_1001_0 - 1/2, c_0101_0 + 1/4*c_1001_0^5 + 1/2*c_1001_0^4 + 3/2*c_1001_0^3 + 3/2*c_1001_0^2 + 3/2*c_1001_0 - 1/4, c_0101_1 - 1/4*c_1001_0^5 - 1/2*c_1001_0^4 - 1/2*c_1001_0^3 - 3/2*c_1001_0^2 + 1/2*c_1001_0 + 1/4, c_0101_12 + c_1001_0^5 + c_1001_0^4 + 4*c_1001_0^3 + 4*c_1001_0^2 + 3*c_1001_0 + 1, c_0101_2 + 1/4*c_1001_0^5 + 1/2*c_1001_0^4 + 1/2*c_1001_0^3 + 3/2*c_1001_0^2 - 1/2*c_1001_0 - 1/4, c_0110_12 + 1/4*c_1001_0^5 + 1/2*c_1001_0^4 + 3/2*c_1001_0^3 + 3/2*c_1001_0^2 + 3/2*c_1001_0 - 1/4, c_0110_6 - c_1001_0^5 - c_1001_0^4 - 4*c_1001_0^3 - 4*c_1001_0^2 - 2*c_1001_0, c_1001_0^6 + c_1001_0^5 + 4*c_1001_0^4 + 4*c_1001_0^3 + 4*c_1001_0^2 + c_1001_0 + 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.910 Total time: 2.129 seconds, Total memory usage: 64.12MB