Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 122067921] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1502 geometric_solution 5.30979152 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 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 1.610827270070 0.474400466217 0 2 3 0 3201 0132 0132 0132 0 0 0 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 0 0 0 0 0 -1 1 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 0.802440131964 0.545876213288 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 1 0 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 0 0 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 0.731717619723 0.401901051366 2 5 6 1 2031 1302 0132 0132 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 -1 0 1 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 0.139807664255 0.641411637539 2 6 5 5 0132 1023 1302 3201 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 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 0.516667516444 0.592800293147 4 4 2 3 2031 2310 0132 2031 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 0 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 2.092328426544 0.743609612704 4 6 6 3 1023 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164451780723 0.958669189685 ==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_0011_1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 2801191791050012/6551125116619*c_0101_6^20 - 1166118907980618/6551125116619*c_0101_6^19 + 41213450962585073/6551125116619*c_0101_6^18 + 117671569216013162/6551125116619*c_0101_6^17 - 2541688211080864/6551125116619*c_0101_6^16 - 447093396783160841/6551125116619*c_0101_6^15 - 540722377855853882/6551125116619*c_0101_6^14 + 396277898512069247/6551125116619*c_0101_6^13 + 1207079174758996428/6551125116619*c_0101_6^12 + 342042848362136235/6551125116619*c_0101_6^11 - 855941136691734687/6551125116619*c_0101_6^10 - 708380647361020749/6551125116619*c_0101_6^9 - 87334480153773950/6551125116619*c_0101_6^8 + 416996549878738589/6551125116619*c_0101_6^7 + 360624926678744469/6551125116619*c_0101_6^6 - 146689799377694810/6551125116619*c_0101_6^5 - 76503345891816226/6551125116619*c_0101_6^4 - 237546156244095/6551125116619*c_0101_6^3 - 38579950975048906/6551125116619*c_0101_6^2 + 46609030251270497/6551125116619*c_0101_6 - 11352547870943228/6551125116619, c_0011_0 - 1, c_0011_1 - 292815925262996/6551125116619*c_0101_6^20 - 257260448329081/6551125116619*c_0101_6^19 + 4170547558624997/6551125116619*c_0101_6^18 + 14210377738177543/6551125116619*c_0101_6^17 + 6568421748363392/6551125116619*c_0101_6^16 - 42768704471149008/6551125116619*c_0101_6^15 - 75798840534912524/6551125116619*c_0101_6^14 + 3675282866612521/6551125116619*c_0101_6^13 + 122788165278454854/6551125116619*c_0101_6^12 + 92365275199091087/6551125116619*c_0101_6^11 - 38826436957255884/6551125116619*c_0101_6^10 - 85387872185929222/6551125116619*c_0101_6^9 - 50683274458227180/6551125116619*c_0101_6^8 + 14352852743865447/6551125116619*c_0101_6^7 + 40616295696942315/6551125116619*c_0101_6^6 + 4184247374285348/6551125116619*c_0101_6^5 - 3297261483585550/6551125116619*c_0101_6^4 - 1060693088447850/6551125116619*c_0101_6^3 - 4757031301691848/6551125116619*c_0101_6^2 + 2558786369776804/6551125116619*c_0101_6 - 313261109305670/6551125116619, c_0011_3 + 517940069675238/6551125116619*c_0101_6^20 + 440669138478130/6551125116619*c_0101_6^19 - 7395118107126563/6551125116619*c_0101_6^18 - 24939143123229104/6551125116619*c_0101_6^17 - 10847151516958577/6551125116619*c_0101_6^16 + 76285432492496005/6551125116619*c_0101_6^15 + 132292797635336955/6551125116619*c_0101_6^14 - 10818499309170812/6551125116619*c_0101_6^13 - 218771771503397001/6551125116619*c_0101_6^12 - 158359249804011681/6551125116619*c_0101_6^11 + 74807577761906921/6551125116619*c_0101_6^10 + 151703066124634520/6551125116619*c_0101_6^9 + 86294509706074864/6551125116619*c_0101_6^8 - 28814661000479759/6551125116619*c_0101_6^7 - 72526113332116178/6551125116619*c_0101_6^6 - 5934241679377399/6551125116619*c_0101_6^5 + 6449371662195941/6551125116619*c_0101_6^4 + 1956941896893479/6551125116619*c_0101_6^3 + 8425275531392967/6551125116619*c_0101_6^2 - 4741983913700833/6551125116619*c_0101_6 + 603043398286567/6551125116619, c_0011_5 + 808518205576788/6551125116619*c_0101_6^20 + 679711135965907/6551125116619*c_0101_6^19 - 11556117999456893/6551125116619*c_0101_6^18 - 38821065188581912/6551125116619*c_0101_6^17 - 16468945927342782/6551125116619*c_0101_6^16 + 119542402903183144/6551125116619*c_0101_6^15 + 205577993819388109/6551125116619*c_0101_6^14 - 19575724701971699/6551125116619*c_0101_6^13 - 342972396649469368/6551125116619*c_0101_6^12 - 244563532870669283/6551125116619*c_0101_6^11 + 120933275842003919/6551125116619*c_0101_6^10 + 238055924166091913/6551125116619*c_0101_6^9 + 132927875552517226/6551125116619*c_0101_6^8 - 47409084227868996/6551125116619*c_0101_6^7 - 114087910913254710/6551125116619*c_0101_6^6 - 8527455757604435/6551125116619*c_0101_6^5 + 10571735227115164/6551125116619*c_0101_6^4 + 3166562463416219/6551125116619*c_0101_6^3 + 13168386594318511/6551125116619*c_0101_6^2 - 7518740667416647/6551125116619*c_0101_6 + 962254448765243/6551125116619, c_0101_0 - 463630598531/6551125116619*c_0101_6^20 - 1688277780177/6551125116619*c_0101_6^19 + 1737565704331/6551125116619*c_0101_6^18 + 34195862840398/6551125116619*c_0101_6^17 + 120332393401420/6551125116619*c_0101_6^16 + 184398199335727/6551125116619*c_0101_6^15 - 30740409181747/6551125116619*c_0101_6^14 - 641042260557961/6551125116619*c_0101_6^13 - 1045366910599585/6551125116619*c_0101_6^12 - 357230305110159/6551125116619*c_0101_6^11 + 1052960521329728/6551125116619*c_0101_6^10 + 1559465996279576/6551125116619*c_0101_6^9 + 688240961071631/6551125116619*c_0101_6^8 - 376202117832347/6551125116619*c_0101_6^7 - 793125582606937/6551125116619*c_0101_6^6 - 467960246262295/6551125116619*c_0101_6^5 + 24179906266726/6551125116619*c_0101_6^4 + 111301287427712/6551125116619*c_0101_6^3 + 81115814184950/6551125116619*c_0101_6^2 + 31841058539498/6551125116619*c_0101_6 - 19452028715174/6551125116619, c_0101_3 - 684464398641010/6551125116619*c_0101_6^20 - 577785811824123/6551125116619*c_0101_6^19 + 9781499227398881/6551125116619*c_0101_6^18 + 32899776979735026/6551125116619*c_0101_6^17 + 14050866025941944/6551125116619*c_0101_6^16 - 101186935525326725/6551125116619*c_0101_6^15 - 174455351600210333/6551125116619*c_0101_6^14 + 15957825381023984/6551125116619*c_0101_6^13 + 290600317165681230/6551125116619*c_0101_6^12 + 208385193306751415/6551125116619*c_0101_6^11 - 101534229378700998/6551125116619*c_0101_6^10 - 202202017013167851/6551125116619*c_0101_6^9 - 113725613552196529/6551125116619*c_0101_6^8 + 39507228420625330/6551125116619*c_0101_6^7 + 96857261322198000/6551125116619*c_0101_6^6 + 7828823526238356/6551125116619*c_0101_6^5 - 8775044741215847/6551125116619*c_0101_6^4 - 2725826043332393/6551125116619*c_0101_6^3 - 11205852492190274/6551125116619*c_0101_6^2 + 6303850337426032/6551125116619*c_0101_6 - 797305579758410/6551125116619, c_0101_6^21 - 15*c_0101_6^19 - 36*c_0101_6^18 + 20*c_0101_6^17 + 165*c_0101_6^16 + 130*c_0101_6^15 - 238*c_0101_6^14 - 404*c_0101_6^13 + 54*c_0101_6^12 + 404*c_0101_6^11 + 169*c_0101_6^10 - 83*c_0101_6^9 - 197*c_0101_6^8 - 92*c_0101_6^7 + 108*c_0101_6^6 + 22*c_0101_6^5 - 7*c_0101_6^4 + 13*c_0101_6^3 - 23*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB