Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 3836049466] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1469 geometric_solution 5.28793627 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 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 0.301560401090 0.486939554985 3 2 4 0 0132 3012 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 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 0.506796126175 1.011155268247 1 3 0 4 1230 0132 0132 3201 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 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 0.506796126175 1.011155268247 1 2 3 3 0132 0132 1230 3012 0 0 0 0 0 1 -1 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050852657973 1.167135289939 5 2 5 1 0132 2310 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654694506700 1.957546623075 4 4 6 6 0132 3201 3201 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 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 0.271667742625 0.169723899263 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -1.698439598910 0.486939554985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : 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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], '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_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3790760230156257/5355200416*c_0101_4^19 - 42660682166053207/2677600208*c_0101_4^17 + 22570640123178011/167350013*c_0101_4^15 - 2865550650158336697/5355200416*c_0101_4^13 + 2784259865223716627/2677600208*c_0101_4^11 - 5688501557697957513/5355200416*c_0101_4^9 + 1583273756392890989/2677600208*c_0101_4^7 - 246220974776678741/1338800104*c_0101_4^5 + 180137664577932719/5355200416*c_0101_4^3 - 17679297765043541/5355200416*c_0101_4, c_0011_0 - 1, c_0011_1 - 4745292238863/669400052*c_0101_4^19 + 53402802720589/334700026*c_0101_4^17 - 226031689396340/167350013*c_0101_4^15 + 3587086050272611/669400052*c_0101_4^13 - 3485291527586349/334700026*c_0101_4^11 + 7120611981037159/669400052*c_0101_4^9 - 1981792371083379/334700026*c_0101_4^7 + 308180578110134/167350013*c_0101_4^5 - 225459821736149/669400052*c_0101_4^3 + 22126209541407/669400052*c_0101_4, c_0011_4 + 274059263970/167350013*c_0101_4^18 - 6168378572178/167350013*c_0101_4^16 + 52215512099522/167350013*c_0101_4^14 - 207158019178114/167350013*c_0101_4^12 + 402545259224627/167350013*c_0101_4^10 - 411200303696074/167350013*c_0101_4^8 + 228887828492551/167350013*c_0101_4^6 - 71187615110785/167350013*c_0101_4^4 + 13019940008944/167350013*c_0101_4^2 - 1277632350455/167350013, c_0011_6 + 282689545698/167350013*c_0101_4^18 - 6362767048056/167350013*c_0101_4^16 + 53862843679171/167350013*c_0101_4^14 - 213704965222579/167350013*c_0101_4^12 + 415300352125813/167350013*c_0101_4^10 - 424260405803431/167350013*c_0101_4^8 + 236169490782157/167350013*c_0101_4^6 - 73454632217512/167350013*c_0101_4^4 + 13435306644771/167350013*c_0101_4^2 - 1318602891653/167350013, c_0101_0 + 706077398547/167350013*c_0101_4^18 - 15891801685026/167350013*c_0101_4^16 + 134521832756840/167350013*c_0101_4^14 - 533679339602954/167350013*c_0101_4^12 + 1036978005033605/167350013*c_0101_4^10 - 1059208011570847/167350013*c_0101_4^8 + 589561795135237/167350013*c_0101_4^6 - 183359613473764/167350013*c_0101_4^4 + 33535988316475/167350013*c_0101_4^2 - 3291041825526/167350013, c_0101_1 + 2875049326053/669400052*c_0101_4^19 - 32355223759111/334700026*c_0101_4^17 + 136945187880238/167350013*c_0101_4^15 - 2173276043199381/669400052*c_0101_4^13 + 2111574519543891/334700026*c_0101_4^11 - 4314017824396257/669400052*c_0101_4^9 + 1200675768373813/334700026*c_0101_4^7 - 186716524084666/167350013*c_0101_4^5 + 136603990786183/669400052*c_0101_4^3 - 13406805213157/669400052*c_0101_4, c_0101_4^20 - 206/9*c_0101_4^18 + 1792/9*c_0101_4^16 - 7457/9*c_0101_4^14 + 15814/9*c_0101_4^12 - 18545/9*c_0101_4^10 + 4222/3*c_0101_4^8 - 5204/9*c_0101_4^6 + 1319/9*c_0101_4^4 - 205/9*c_0101_4^2 + 16/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB