Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 3819077377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0561 geometric_solution 4.57775682 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 2.374898377399 1.215988049419 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.595150842386 0.143505102528 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -1 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 0 -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 0.333139815315 0.629195363281 4 2 5 4 2310 0132 0132 3201 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 -1 1 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 -0.213024882196 0.833101772619 5 3 3 2 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.213024882196 0.833101772619 4 6 6 3 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318145924207 0.751557682281 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.939614569645 0.600443267638 ==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' : 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' : 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_1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 30001935766658/181656863883*c_0101_6^15 - 8464217496512/16514260353*c_0101_6^14 - 403273191985757/181656863883*c_0101_6^13 + 983231202216536/181656863883*c_0101_6^12 + 1503275468347445/181656863883*c_0101_6^11 - 330602026834923/20184095987*c_0101_6^10 - 3714610920767863/181656863883*c_0101_6^9 + 1158562776557614/60552287961*c_0101_6^8 + 1306057209936697/60552287961*c_0101_6^7 - 950846864104655/60552287961*c_0101_6^6 - 2193343681387808/181656863883*c_0101_6^5 + 1944514663603508/181656863883*c_0101_6^4 + 592079924477212/181656863883*c_0101_6^3 - 738421809167320/181656863883*c_0101_6^2 + 25911023120354/181656863883*c_0101_6 + 54650045974180/181656863883, c_0011_0 - 1, c_0011_2 + 35965385322/20184095987*c_0101_6^15 - 8579254454/1834917817*c_0101_6^14 - 530363417721/20184095987*c_0101_6^13 + 926255887984/20184095987*c_0101_6^12 + 2279924307013/20184095987*c_0101_6^11 - 2486952915970/20184095987*c_0101_6^10 - 5842159313029/20184095987*c_0101_6^9 + 1405353392891/20184095987*c_0101_6^8 + 5880675422077/20184095987*c_0101_6^7 - 516326049891/20184095987*c_0101_6^6 - 3377973610004/20184095987*c_0101_6^5 + 692823138850/20184095987*c_0101_6^4 + 1389940602232/20184095987*c_0101_6^3 - 273484543401/20184095987*c_0101_6^2 - 250900784444/20184095987*c_0101_6 - 11549873459/20184095987, c_0011_4 + 39383571373/20184095987*c_0101_6^15 - 9289741143/1834917817*c_0101_6^14 - 584242628044/20184095987*c_0101_6^13 + 997667551840/20184095987*c_0101_6^12 + 2535082580320/20184095987*c_0101_6^11 - 2652149540845/20184095987*c_0101_6^10 - 6521542622674/20184095987*c_0101_6^9 + 1352146505060/20184095987*c_0101_6^8 + 6556283171799/20184095987*c_0101_6^7 - 301076438895/20184095987*c_0101_6^6 - 3676469400180/20184095987*c_0101_6^5 + 594760607942/20184095987*c_0101_6^4 + 1435518597812/20184095987*c_0101_6^3 - 272576757245/20184095987*c_0101_6^2 - 245342692229/20184095987*c_0101_6 - 18130435610/20184095987, c_0101_0 - 27893006652/20184095987*c_0101_6^15 + 4600447523/1834917817*c_0101_6^14 + 469383477512/20184095987*c_0101_6^13 - 382528715915/20184095987*c_0101_6^12 - 2332911734068/20184095987*c_0101_6^11 + 477548057708/20184095987*c_0101_6^10 + 6027216485374/20184095987*c_0101_6^9 + 2583052506758/20184095987*c_0101_6^8 - 5272468258347/20184095987*c_0101_6^7 - 3163411643262/20184095987*c_0101_6^6 + 2853054961714/20184095987*c_0101_6^5 + 1470110385932/20184095987*c_0101_6^4 - 1433024110767/20184095987*c_0101_6^3 - 552223198672/20184095987*c_0101_6^2 + 351023327793/20184095987*c_0101_6 + 115900974044/20184095987, c_0101_1 + 19534330252/20184095987*c_0101_6^15 - 5303952567/1834917817*c_0101_6^14 - 273767494981/20184095987*c_0101_6^13 + 618298931027/20184095987*c_0101_6^12 + 1116875602443/20184095987*c_0101_6^11 - 1891480365509/20184095987*c_0101_6^10 - 2918522211251/20184095987*c_0101_6^9 + 2072307294894/20184095987*c_0101_6^8 + 3465991340374/20184095987*c_0101_6^7 - 1270771934024/20184095987*c_0101_6^6 - 2003710356379/20184095987*c_0101_6^5 + 914077174851/20184095987*c_0101_6^4 + 686779789760/20184095987*c_0101_6^3 - 403888190683/20184095987*c_0101_6^2 - 105725677093/20184095987*c_0101_6 + 14684149074/20184095987, c_0101_3 - 5879698397/20184095987*c_0101_6^15 + 975582873/1834917817*c_0101_6^14 + 100504257670/20184095987*c_0101_6^13 - 86791078078/20184095987*c_0101_6^12 - 513106498701/20184095987*c_0101_6^11 + 157460307804/20184095987*c_0101_6^10 + 1347106302528/20184095987*c_0101_6^9 + 387374601068/20184095987*c_0101_6^8 - 1294097664852/20184095987*c_0101_6^7 - 516578374110/20184095987*c_0101_6^6 + 739527132683/20184095987*c_0101_6^5 + 179882515668/20184095987*c_0101_6^4 - 390977325659/20184095987*c_0101_6^3 - 33462616117/20184095987*c_0101_6^2 + 108792739758/20184095987*c_0101_6 + 13725047703/20184095987, c_0101_6^16 - 3*c_0101_6^15 - 14*c_0101_6^14 + 32*c_0101_6^13 + 57*c_0101_6^12 - 100*c_0101_6^11 - 149*c_0101_6^10 + 119*c_0101_6^9 + 180*c_0101_6^8 - 90*c_0101_6^7 - 118*c_0101_6^6 + 62*c_0101_6^5 + 46*c_0101_6^4 - 28*c_0101_6^3 - 9*c_0101_6^2 + 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB