Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 2631729329] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0004 geometric_solution 3.52012101 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.942248240745 0.057416891997 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.944828284188 0.086231935377 2 0 2 0 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.943704843860 0.045998849405 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.976092765301 0.140950720451 3 6 5 6 0132 0132 3012 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772753489667 0.391957831575 6 4 6 3 0213 1230 1023 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 1 -1 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 0.772753489667 0.391957831575 5 4 5 4 0213 0132 1023 0213 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 -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 0.772753489667 0.391957831575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 869227251/13844782592*c_0101_4^9 + 40904139/3461195648*c_0101_4^8 - 4664947433/13844782592*c_0101_4^7 - 3582359657/6922391296*c_0101_4^6 + 16211748093/6922391296*c_0101_4^5 + 17217979441/13844782592*c_0101_4^4 - 4330215759/1730597824*c_0101_4^3 - 7682994839/13844782592*c_0101_4^2 - 2250161587/432649456*c_0101_4 + 7755515341/432649456, c_0011_0 - 1, c_0011_5 + 784607/669736*c_0101_4^9 + 149471/669736*c_0101_4^8 - 2101681/334868*c_0101_4^7 - 3262947/334868*c_0101_4^6 + 14560237/334868*c_0101_4^5 + 15710995/669736*c_0101_4^4 - 30157681/669736*c_0101_4^3 - 1933655/167434*c_0101_4^2 - 33989659/334868*c_0101_4 + 27867242/83717, c_0101_0 - 924163/1339472*c_0101_4^9 - 91033/669736*c_0101_4^8 + 4949851/1339472*c_0101_4^7 + 3863115/669736*c_0101_4^6 - 17112489/669736*c_0101_4^5 - 18626541/1339472*c_0101_4^4 + 17684013/669736*c_0101_4^3 + 8636937/1339472*c_0101_4^2 + 4988783/83717*c_0101_4 - 16318119/83717, c_0101_1 + 3430917/5357888*c_0101_4^9 + 333505/2678944*c_0101_4^8 - 18349497/5357888*c_0101_4^7 - 14266785/2678944*c_0101_4^6 + 63673551/2678944*c_0101_4^5 + 68571907/5357888*c_0101_4^4 - 66178321/2678944*c_0101_4^3 - 33121547/5357888*c_0101_4^2 - 9153637/167434*c_0101_4 + 15244610/83717, c_0101_2 + 2039701/5357888*c_0101_4^9 + 200777/2678944*c_0101_4^8 - 10918833/5357888*c_0101_4^7 - 8554117/2678944*c_0101_4^6 + 37786103/2678944*c_0101_4^5 + 41283635/5357888*c_0101_4^4 - 38733857/2678944*c_0101_4^3 - 21479203/5357888*c_0101_4^2 - 22135457/669736*c_0101_4 + 9037354/83717, c_0101_3 - 1915323/1339472*c_0101_4^9 - 94647/334868*c_0101_4^8 + 10244213/1339472*c_0101_4^7 + 7996005/669736*c_0101_4^6 - 35437325/669736*c_0101_4^5 - 38550393/1339472*c_0101_4^4 + 4570665/83717*c_0101_4^3 + 18602683/1339472*c_0101_4^2 + 10324747/83717*c_0101_4 - 33729295/83717, c_0101_4^10 + 2*c_0101_4^9 - 5*c_0101_4^8 - 18*c_0101_4^7 + 22*c_0101_4^6 + 87*c_0101_4^5 - 2*c_0101_4^4 - 79*c_0101_4^3 - 104*c_0101_4^2 + 128*c_0101_4 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB