Magma V2.19-8 Tue Aug 20 2013 16:14:39 on localhost [Seed = 694727983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s632 geometric_solution 5.11906086 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.321863694294 0.794298987489 0 2 3 4 0132 2310 3201 2310 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 1 0 -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 0.321863694294 0.794298987489 5 0 5 1 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075865038233 2.263118592505 1 3 3 0 2310 1230 3012 0132 0 0 0 0 0 1 0 -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 1 -1 0 0 0 -1 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 0.935115745828 0.767090358718 1 4 0 4 3201 2310 0132 3201 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 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855641501440 0.854445572420 2 2 5 5 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202573615949 0.171657265892 ==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_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_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_5' : d['c_0101_2'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 5844984040586764437/1921974520286875*c_0101_5^17 + 27356106045331705399/1921974520286875*c_0101_5^16 + 1431166025150889197/1921974520286875*c_0101_5^15 - 14927993530275843672/384394904057375*c_0101_5^14 + 8296092369821121098/384394904057375*c_0101_5^13 + 22707754452396550358/384394904057375*c_0101_5^12 - 53816710557282857284/1921974520286875*c_0101_5^11 - 3261278508284546423/1921974520286875*c_0101_5^10 - 1350615813212146034/384394904057375*c_0101_5^9 - 35946662519034361288/384394904057375*c_0101_5^8 + 16862264785367390621/1921974520286875*c_0101_5^7 + 180429742883135083471/1921974520286875*c_0101_5^6 - 687196421261476739/1921974520286875*c_0101_5^5 - 73668611988045922589/1921974520286875*c_0101_5^4 - 926829448751219629/1921974520286875*c_0101_5^3 + 14143330486901897582/1921974520286875*c_0101_5^2 + 475725957368524918/1921974520286875*c_0101_5 - 792454131159765361/1921974520286875, c_0011_0 - 1, c_0011_3 - 164300783267404108/384394904057375*c_0101_5^17 - 724257986795171941/384394904057375*c_0101_5^16 + 127748428004064427/384394904057375*c_0101_5^15 + 390257790799293898/76878980811475*c_0101_5^14 - 322465151362789932/76878980811475*c_0101_5^13 - 491569001816194972/76878980811475*c_0101_5^12 + 1730881896162883781/384394904057375*c_0101_5^11 - 554177373627993493/384394904057375*c_0101_5^10 + 147623617977579081/76878980811475*c_0101_5^9 + 904455307338965467/76878980811475*c_0101_5^8 - 1385577487368510989/384394904057375*c_0101_5^7 - 4075875210809083389/384394904057375*c_0101_5^6 + 541804039956629876/384394904057375*c_0101_5^5 + 1548483171430901276/384394904057375*c_0101_5^4 - 91094908125036239/384394904057375*c_0101_5^3 - 282009269945686163/384394904057375*c_0101_5^2 - 4267000091871337/384394904057375*c_0101_5 + 15042708630122774/384394904057375, c_0101_0 - 478455037327602933/384394904057375*c_0101_5^17 - 2136028280822660841/384394904057375*c_0101_5^16 + 279273466034310602/384394904057375*c_0101_5^15 + 1160151035935332498/76878980811475*c_0101_5^14 - 891675032146635282/76878980811475*c_0101_5^13 - 1533796650118693422/76878980811475*c_0101_5^12 + 5057822969819123681/384394904057375*c_0101_5^11 - 1233888736078478193/384394904057375*c_0101_5^10 + 346065724239290631/76878980811475*c_0101_5^9 + 2724032209550255467/76878980811475*c_0101_5^8 - 3637209187940768214/384394904057375*c_0101_5^7 - 12577625065963629489/384394904057375*c_0101_5^6 + 1446196149645149901/384394904057375*c_0101_5^5 + 4846874665761406301/384394904057375*c_0101_5^4 - 261122385477106464/384394904057375*c_0101_5^3 - 887246965695721738/384394904057375*c_0101_5^2 - 10898464461291887/384394904057375*c_0101_5 + 47520438534364124/384394904057375, c_0101_2 - 19685789192972097/76878980811475*c_0101_5^17 - 91181302402769594/76878980811475*c_0101_5^16 - 1418205095526607/76878980811475*c_0101_5^15 + 49518196678459572/15375796162295*c_0101_5^14 - 29740165307279568/15375796162295*c_0101_5^13 - 73074773953846418/15375796162295*c_0101_5^12 + 183351795980698129/76878980811475*c_0101_5^11 - 2707313043610212/76878980811475*c_0101_5^10 + 7015106313001359/15375796162295*c_0101_5^9 + 118501128987687573/15375796162295*c_0101_5^8 - 73586854807148176/76878980811475*c_0101_5^7 - 584236153674087276/76878980811475*c_0101_5^6 + 11684338007232709/76878980811475*c_0101_5^5 + 235808087964652059/76878980811475*c_0101_5^4 + 1068672552846774/76878980811475*c_0101_5^3 - 44801055029326917/76878980811475*c_0101_5^2 - 1564528250414858/76878980811475*c_0101_5 + 2405659247749091/76878980811475, c_0101_3 + 6585215006741683/15375796162295*c_0101_5^17 + 30349244239254376/15375796162295*c_0101_5^16 - 160711144516462/15375796162295*c_0101_5^15 - 16510138589386704/3075159232459*c_0101_5^14 + 10294844392580041/3075159232459*c_0101_5^13 + 24046203621243890/3075159232459*c_0101_5^12 - 63115850111132731/15375796162295*c_0101_5^11 + 3148783846582638/15375796162295*c_0101_5^10 - 2603943168173036/3075159232459*c_0101_5^9 - 39470023469844225/3075159232459*c_0101_5^8 + 28802246221089079/15375796162295*c_0101_5^7 + 192908580134908219/15375796162295*c_0101_5^6 - 6878442853756721/15375796162295*c_0101_5^5 - 77211499284691171/15375796162295*c_0101_5^4 + 423827122527869/15375796162295*c_0101_5^3 + 14519383321912418/15375796162295*c_0101_5^2 + 453490733803002/15375796162295*c_0101_5 - 786339912747739/15375796162295, c_0101_5^18 + 68/13*c_0101_5^17 + 37/13*c_0101_5^16 - 163/13*c_0101_5^15 + 300/13*c_0101_5^13 + 24/13*c_0101_5^12 - 71/13*c_0101_5^11 - 23/13*c_0101_5^10 - 405/13*c_0101_5^9 - 186/13*c_0101_5^8 + 415/13*c_0101_5^7 + 225/13*c_0101_5^6 - 160/13*c_0101_5^5 - 95/13*c_0101_5^4 + 29/13*c_0101_5^3 + 19/13*c_0101_5^2 - 1/13*c_0101_5 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB