Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 1309659782] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2309 geometric_solution 5.70596148 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 1 0 -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 1.062036371367 1.235602550340 0 4 5 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729010297677 0.611610618844 4 0 1 6 3201 0132 2031 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 -1 0 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729010297677 0.611610618844 0 3 3 0 3201 1230 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351348874379 0.273360922774 6 1 5 2 1023 0132 3201 2310 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 -2 2 -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 0.695456547933 0.265556690154 4 6 6 1 2310 3012 2031 0132 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 -1 1 0 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914277684538 1.102592016725 5 4 2 5 1230 1023 0132 1302 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 1 -1 0 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914277684538 1.102592016725 ==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' : d['1'], 's_3_0' : 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_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_0_6' : 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_6' : d['c_0101_5'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), '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' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), '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_3, 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: 15 Groebner basis: [ t + 16664830193/20767136585*c_0101_6^14 + 108663573701/20767136585*c_0101_6^13 + 246149264484/20767136585*c_0101_6^12 + 139713178728/20767136585*c_0101_6^11 - 2568465231/319494409*c_0101_6^10 + 119425313674/20767136585*c_0101_6^9 + 789365224468/20767136585*c_0101_6^8 + 31506278283/1597472045*c_0101_6^7 - 265542030909/20767136585*c_0101_6^6 + 258116589207/20767136585*c_0101_6^5 + 485833189532/20767136585*c_0101_6^4 - 407881461906/20767136585*c_0101_6^3 - 95412878621/4153427317*c_0101_6^2 - 18091423056/20767136585*c_0101_6 - 14632025803/1597472045, c_0011_0 - 1, c_0011_3 - 13201722/319494409*c_0101_6^14 - 79509875/319494409*c_0101_6^13 - 168930733/319494409*c_0101_6^12 - 97857133/319494409*c_0101_6^11 + 6890661/24576493*c_0101_6^10 - 31479472/319494409*c_0101_6^9 - 402572442/319494409*c_0101_6^8 - 32769192/24576493*c_0101_6^7 - 114631276/319494409*c_0101_6^6 + 163974432/319494409*c_0101_6^5 + 162602584/319494409*c_0101_6^4 - 4323850/319494409*c_0101_6^3 - 2086728/319494409*c_0101_6^2 + 203369261/319494409*c_0101_6 + 9322790/24576493, c_0101_0 - 17286262/319494409*c_0101_6^14 - 123140269/319494409*c_0101_6^13 - 304719098/319494409*c_0101_6^12 - 189043837/319494409*c_0101_6^11 + 22948510/24576493*c_0101_6^10 + 23642007/319494409*c_0101_6^9 - 1121148061/319494409*c_0101_6^8 - 60463760/24576493*c_0101_6^7 + 642088398/319494409*c_0101_6^6 + 42625870/319494409*c_0101_6^5 - 904915421/319494409*c_0101_6^4 + 255173372/319494409*c_0101_6^3 + 619869559/319494409*c_0101_6^2 - 219287200/319494409*c_0101_6 - 6733571/24576493, c_0101_1 - 5646848/319494409*c_0101_6^14 - 30947888/319494409*c_0101_6^13 - 41516868/319494409*c_0101_6^12 + 80229471/319494409*c_0101_6^11 + 19327466/24576493*c_0101_6^10 + 85340578/319494409*c_0101_6^9 - 246496849/319494409*c_0101_6^8 + 5588618/24576493*c_0101_6^7 + 609232318/319494409*c_0101_6^6 + 261912458/319494409*c_0101_6^5 - 40208429/319494409*c_0101_6^4 + 419977465/319494409*c_0101_6^3 + 214176372/319494409*c_0101_6^2 - 252269879/319494409*c_0101_6 - 13793950/24576493, c_0101_2 - 15083767/319494409*c_0101_6^14 - 111233217/319494409*c_0101_6^13 - 296808846/319494409*c_0101_6^12 - 257556100/319494409*c_0101_6^11 + 13220318/24576493*c_0101_6^10 + 109560458/319494409*c_0101_6^9 - 838743298/319494409*c_0101_6^8 - 69311268/24576493*c_0101_6^7 + 294929003/319494409*c_0101_6^6 + 223800713/319494409*c_0101_6^5 - 685909071/319494409*c_0101_6^4 + 163020098/319494409*c_0101_6^3 + 890475581/319494409*c_0101_6^2 + 32637840/319494409*c_0101_6 + 1289817/24576493, c_0101_5 - 15083767/319494409*c_0101_6^14 - 111233217/319494409*c_0101_6^13 - 296808846/319494409*c_0101_6^12 - 257556100/319494409*c_0101_6^11 + 13220318/24576493*c_0101_6^10 + 109560458/319494409*c_0101_6^9 - 838743298/319494409*c_0101_6^8 - 69311268/24576493*c_0101_6^7 + 294929003/319494409*c_0101_6^6 + 223800713/319494409*c_0101_6^5 - 685909071/319494409*c_0101_6^4 + 163020098/319494409*c_0101_6^3 + 890475581/319494409*c_0101_6^2 + 32637840/319494409*c_0101_6 + 1289817/24576493, c_0101_6^15 + 8*c_0101_6^14 + 25*c_0101_6^13 + 34*c_0101_6^12 + 11*c_0101_6^11 - 2*c_0101_6^10 + 54*c_0101_6^9 + 99*c_0101_6^8 + 45*c_0101_6^7 + 6*c_0101_6^6 + 48*c_0101_6^5 + 32*c_0101_6^4 - 42*c_0101_6^3 - 47*c_0101_6^2 - 20*c_0101_6 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB