Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 1242289797] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0373 geometric_solution 4.42880961 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 1 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 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 2.231379515681 0.383178545407 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 -0.359744713033 0.918837434462 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 -0.276108835745 0.359920261363 4 4 5 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 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 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.180279707550 1.515817510264 3 3 2 5 1230 3012 0132 0132 0 0 0 0 0 0 0 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 -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 1.180279707550 1.515817510264 6 6 4 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -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 -0.370337425852 0.468618109670 5 6 6 5 0132 3201 2310 3201 0 0 0 0 0 0 0 0 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.563984040449 1.164541415225 ==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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_1'], '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_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4455585876476532/9935902695779*c_1100_2^11 - 23756523029852682/9935902695779*c_1100_2^10 + 31102439486326380/9935902695779*c_1100_2^9 + 64554221074658638/9935902695779*c_1100_2^8 - 281735899624486556/9935902695779*c_1100_2^7 + 327335488301209177/9935902695779*c_1100_2^6 + 96578861538926348/9935902695779*c_1100_2^5 - 577211013013327554/9935902695779*c_1100_2^4 + 539588230432035255/9935902695779*c_1100_2^3 - 213198408742418668/9935902695779*c_1100_2^2 + 28317010568769021/9935902695779*c_1100_2 + 1723031592596660/9935902695779, c_0011_0 - 1, c_0011_3 + 9041980069311/9935902695779*c_1100_2^11 - 47900750849244/9935902695779*c_1100_2^10 + 59752401751577/9935902695779*c_1100_2^9 + 140183340999145/9935902695779*c_1100_2^8 - 570812428980462/9935902695779*c_1100_2^7 + 616378491115739/9935902695779*c_1100_2^6 + 292681698605501/9935902695779*c_1100_2^5 - 1204191610348584/9935902695779*c_1100_2^4 + 975556473135454/9935902695779*c_1100_2^3 - 266800215801353/9935902695779*c_1100_2^2 - 26627696419416/9935902695779*c_1100_2 + 15957931154985/9935902695779, c_0011_5 - 8545792681258/9935902695779*c_1100_2^11 + 37828535130795/9935902695779*c_1100_2^10 - 23445425271607/9935902695779*c_1100_2^9 - 156448305044944/9935902695779*c_1100_2^8 + 416137232312057/9935902695779*c_1100_2^7 - 223513307475738/9935902695779*c_1100_2^6 - 529174128693158/9935902695779*c_1100_2^5 + 811022709920370/9935902695779*c_1100_2^4 - 269910673269899/9935902695779*c_1100_2^3 - 145758225820697/9935902695779*c_1100_2^2 + 113545097945156/9935902695779*c_1100_2 - 17804818627905/9935902695779, c_0101_0 + 3485883948148/9935902695779*c_1100_2^11 - 27934638710841/9935902695779*c_1100_2^10 + 71227595679171/9935902695779*c_1100_2^9 + 1159945737575/9935902695779*c_1100_2^8 - 375660556024907/9935902695779*c_1100_2^7 + 798767817956163/9935902695779*c_1100_2^6 - 419916955468530/9935902695779*c_1100_2^5 - 852193287281400/9935902695779*c_1100_2^4 + 1511838622328615/9935902695779*c_1100_2^3 - 888391088029866/9935902695779*c_1100_2^2 + 182456744657036/9935902695779*c_1100_2 - 435484398113/9935902695779, c_0101_1 + 4552880325/1797702677*c_1100_2^11 - 23958005092/1797702677*c_1100_2^10 + 30230622478/1797702677*c_1100_2^9 + 67207391976/1797702677*c_1100_2^8 - 281544880399/1797702677*c_1100_2^7 + 316687030754/1797702677*c_1100_2^6 + 109098939017/1797702677*c_1100_2^5 - 566150713120/1797702677*c_1100_2^4 + 515072323621/1797702677*c_1100_2^3 - 210252840155/1797702677*c_1100_2^2 + 36672879577/1797702677*c_1100_2 - 905101306/1797702677, c_0101_3 - 7790078439269/9935902695779*c_1100_2^11 + 43311608023137/9935902695779*c_1100_2^10 - 66159836037758/9935902695779*c_1100_2^9 - 91966777592533/9935902695779*c_1100_2^8 + 517785015549037/9935902695779*c_1100_2^7 - 724443673497216/9935902695779*c_1100_2^6 + 41399340632518/9935902695779*c_1100_2^5 + 1036748051405272/9935902695779*c_1100_2^4 - 1293999070491475/9935902695779*c_1100_2^3 + 694960394807546/9935902695779*c_1100_2^2 - 159838159985231/9935902695779*c_1100_2 + 7748207102999/9935902695779, c_1100_2^12 - 41/7*c_1100_2^11 + 68/7*c_1100_2^10 + 78/7*c_1100_2^9 - 498/7*c_1100_2^8 + 739/7*c_1100_2^7 - 93/7*c_1100_2^6 - 144*c_1100_2^5 + 1304/7*c_1100_2^4 - 731/7*c_1100_2^3 + 188/7*c_1100_2^2 - 13/7*c_1100_2 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB