Magma V2.19-8 Tue Aug 20 2013 16:17:13 on localhost [Seed = 610646265] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1451 geometric_solution 5.27100059 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 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 -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 0.609208038233 0.829154856286 0 3 2 4 0132 0132 1230 0132 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 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 1.025419058384 0.903311109949 3 0 4 1 2310 0132 3201 3012 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 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 1.025419058384 0.903311109949 3 1 2 3 3201 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.267626624573 0.669943193793 2 5 1 5 2310 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377199872729 0.358589271221 6 4 6 4 0132 0132 2310 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -1 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935078124871 0.318955584545 5 5 6 6 0132 3201 1230 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600987949869 0.222132634396 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 171991826/52025*c_0101_5*c_0101_6^12 + 432655304/52025*c_0101_5*c_0101_6^11 - 648264884/52025*c_0101_5*c_0101_6^10 - 235133503/52025*c_0101_5*c_0101_6^9 + 5145564246/52025*c_0101_5*c_0101_6^8 - 7060987314/52025*c_0101_5*c_0101_6^7 - 3133712434/52025*c_0101_5*c_0101_6^6 + 9796774999/52025*c_0101_5*c_0101_6^5 - 1688169936/52025*c_0101_5*c_0101_6^4 - 3899844644/52025*c_0101_5*c_0101_6^3 + 1461821538/52025*c_0101_5*c_0101_6^2 + 70336232/10405*c_0101_5*c_0101_6 - 185465062/52025*c_0101_5, c_0011_0 - 1, c_0011_4 + 170616/10405*c_0101_5*c_0101_6^12 - 418694/10405*c_0101_5*c_0101_6^11 + 644144/10405*c_0101_5*c_0101_6^10 + 205558/10405*c_0101_5*c_0101_6^9 - 4977741/10405*c_0101_5*c_0101_6^8 + 6698064/10405*c_0101_5*c_0101_6^7 + 2784409/10405*c_0101_5*c_0101_6^6 - 8466194/10405*c_0101_5*c_0101_6^5 + 1282226/10405*c_0101_5*c_0101_6^4 + 3069169/10405*c_0101_5*c_0101_6^3 - 1094288/10405*c_0101_5*c_0101_6^2 - 56373/2081*c_0101_5*c_0101_6 + 162792/10405*c_0101_5, c_0101_0 - 38162/2081*c_0101_6^12 + 94468/2081*c_0101_6^11 - 142052/2081*c_0101_6^10 - 55223/2081*c_0101_6^9 + 1136844/2081*c_0101_6^8 - 1531324/2081*c_0101_6^7 - 701258/2081*c_0101_6^6 + 2128537/2081*c_0101_6^5 - 391417/2081*c_0101_6^4 - 820836/2081*c_0101_6^3 + 340610/2081*c_0101_6^2 + 67503/2081*c_0101_6 - 40151/2081, c_0101_1 + 252182/10405*c_0101_6^12 - 576708/10405*c_0101_6^11 + 830708/10405*c_0101_6^10 + 517801/10405*c_0101_6^9 - 7410202/10405*c_0101_6^8 + 8722318/10405*c_0101_6^7 + 6247268/10405*c_0101_6^6 - 12810028/10405*c_0101_6^5 + 198622/10405*c_0101_6^4 + 5298388/10405*c_0101_6^3 - 1276311/10405*c_0101_6^2 - 108848/2081*c_0101_6 + 180184/10405, c_0101_2 - 8*c_0101_5*c_0101_6^12 + 22*c_0101_5*c_0101_6^11 - 34*c_0101_5*c_0101_6^10 - 6*c_0101_5*c_0101_6^9 + 245*c_0101_5*c_0101_6^8 - 383*c_0101_5*c_0101_6^7 - 95*c_0101_5*c_0101_6^6 + 524*c_0101_5*c_0101_6^5 - 166*c_0101_5*c_0101_6^4 - 214*c_0101_5*c_0101_6^3 + 117*c_0101_5*c_0101_6^2 + 22*c_0101_5*c_0101_6 - 19*c_0101_5, c_0101_5^2 - 332384/10405*c_0101_6^12 + 750946/10405*c_0101_6^11 - 1074486/10405*c_0101_6^10 - 728382/10405*c_0101_6^9 + 9786059/10405*c_0101_6^8 - 11294961/10405*c_0101_6^7 - 8541591/10405*c_0101_6^6 + 17097006/10405*c_0101_6^5 - 419829/10405*c_0101_6^4 - 7099996/10405*c_0101_6^3 + 1953097/10405*c_0101_6^2 + 138105/2081*c_0101_6 - 264543/10405, c_0101_6^13 - 3*c_0101_6^12 + 5*c_0101_6^11 - 1/2*c_0101_6^10 - 61/2*c_0101_6^9 + 111/2*c_0101_6^8 - 2*c_0101_6^7 - 65*c_0101_6^6 + 37*c_0101_6^5 + 35/2*c_0101_6^4 - 19*c_0101_6^3 + 2*c_0101_6^2 + 2*c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB