Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 3187417473] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0173 geometric_solution 3.96582612 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 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 3.366597377897 0.399735806114 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.542157830455 0.032074134552 0 3 3 0 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.761512908428 0.479939937365 2 2 4 4 2310 0132 0132 3201 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 -1 0 1 0 0 -1 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 0.194685092001 0.307611969460 5 3 6 3 0132 2310 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 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 1.448490658324 0.901019866807 4 6 6 6 0132 0213 2310 1230 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 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 0.471805551646 0.852924400868 5 5 5 4 3012 3201 0213 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471805551646 0.852924400868 ==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' : negation(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' : negation(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_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), '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' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], '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_6'], '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_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), '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' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 3040473159765/94552701052*c_0101_3^14 - 7769250339/23638175263*c_0101_3^13 + 16682225914811/47276350526*c_0101_3^12 + 27441702057458/23638175263*c_0101_3^11 - 22227133106578/23638175263*c_0101_3^10 - 566169689960927/94552701052*c_0101_3^9 - 207642539406829/94552701052*c_0101_3^8 + 734746608178845/47276350526*c_0101_3^7 + 335321229900123/94552701052*c_0101_3^6 - 790652376032609/47276350526*c_0101_3^5 + 29460443534911/94552701052*c_0101_3^4 + 331340236752129/47276350526*c_0101_3^3 - 141224539896071/94552701052*c_0101_3^2 - 79291454902887/94552701052*c_0101_3 + 26405204307313/94552701052, c_0011_0 - 1, c_0011_2 - 98655086195/94552701052*c_0101_3^14 - 5658475723/23638175263*c_0101_3^13 + 524895651657/47276350526*c_0101_3^12 + 947389335720/23638175263*c_0101_3^11 - 442171102948/23638175263*c_0101_3^10 - 17735551290065/94552701052*c_0101_3^9 - 11170819591227/94552701052*c_0101_3^8 + 20368779556149/47276350526*c_0101_3^7 + 17262078040305/94552701052*c_0101_3^6 - 18619217090581/47276350526*c_0101_3^5 - 5228347724511/94552701052*c_0101_3^4 + 6309997506849/47276350526*c_0101_3^3 - 1449222871245/94552701052*c_0101_3^2 - 1149780644621/94552701052*c_0101_3 + 347433052107/94552701052, c_0011_4 + 6567081409/47276350526*c_0101_3^14 + 52760144209/47276350526*c_0101_3^13 - 18716490823/47276350526*c_0101_3^12 - 748700219695/47276350526*c_0101_3^11 - 2223967715305/47276350526*c_0101_3^10 + 104112811424/23638175263*c_0101_3^9 + 8781447856173/47276350526*c_0101_3^8 + 9098167884351/47276350526*c_0101_3^7 - 5920684532864/23638175263*c_0101_3^6 - 6325997719273/23638175263*c_0101_3^5 + 6335058778983/47276350526*c_0101_3^4 + 4388613152427/47276350526*c_0101_3^3 - 909126958684/23638175263*c_0101_3^2 - 333720760267/47276350526*c_0101_3 + 97093099666/23638175263, c_0011_6 - 27719046995/94552701052*c_0101_3^14 - 15188036723/23638175263*c_0101_3^13 + 115250289525/47276350526*c_0101_3^12 + 397120878137/23638175263*c_0101_3^11 + 522614038861/23638175263*c_0101_3^10 - 3553479087257/94552701052*c_0101_3^9 - 11763105555575/94552701052*c_0101_3^8 - 1356419036277/47276350526*c_0101_3^7 + 14815437547245/94552701052*c_0101_3^6 + 4389540497973/47276350526*c_0101_3^5 - 6402786708955/94552701052*c_0101_3^4 - 1880097331153/47276350526*c_0101_3^3 + 1403320119687/94552701052*c_0101_3^2 + 253826526271/94552701052*c_0101_3 - 135912097469/94552701052, c_0101_0 + 106226874493/94552701052*c_0101_3^14 + 41327101095/23638175263*c_0101_3^13 - 484918440559/47276350526*c_0101_3^12 - 1359122951510/23638175263*c_0101_3^11 - 1183138564545/23638175263*c_0101_3^10 + 15621492724407/94552701052*c_0101_3^9 + 34193033409841/94552701052*c_0101_3^8 - 4131899668211/47276350526*c_0101_3^7 - 45008900036139/94552701052*c_0101_3^6 - 3641608369987/47276350526*c_0101_3^5 + 18997656895197/94552701052*c_0101_3^4 + 2229012294941/47276350526*c_0101_3^3 - 3320877047441/94552701052*c_0101_3^2 - 550308693685/94552701052*c_0101_3 + 276942914411/94552701052, c_0101_1 + 16321881984/23638175263*c_0101_3^14 + 6289904405/47276350526*c_0101_3^13 - 344298803429/47276350526*c_0101_3^12 - 1233028789729/47276350526*c_0101_3^11 + 604716534501/47276350526*c_0101_3^10 + 5650057740989/47276350526*c_0101_3^9 + 1594836271657/23638175263*c_0101_3^8 - 13238051287423/47276350526*c_0101_3^7 - 3762407599619/47276350526*c_0101_3^6 + 6542424752964/23638175263*c_0101_3^5 - 148111053758/23638175263*c_0101_3^4 - 5225934196967/47276350526*c_0101_3^3 + 977384395449/47276350526*c_0101_3^2 + 265956354502/23638175263*c_0101_3 - 143637451395/47276350526, c_0101_3^15 + c_0101_3^14 - 10*c_0101_3^13 - 46*c_0101_3^12 - 16*c_0101_3^11 + 171*c_0101_3^10 + 236*c_0101_3^9 - 257*c_0101_3^8 - 365*c_0101_3^7 + 183*c_0101_3^6 + 187*c_0101_3^5 - 73*c_0101_3^4 - 35*c_0101_3^3 + 14*c_0101_3^2 + 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB