Magma V2.19-8 Tue Aug 20 2013 16:18:20 on localhost [Seed = 1461111416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2546 geometric_solution 5.85658581 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 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 1.029872610294 1.070857790143 0 3 5 4 0132 0132 0132 0132 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 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 0.722716402206 0.951404499684 3 0 4 5 2310 0132 3201 2310 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 0 0 0 1 0 0 -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 0.722716402206 0.951404499684 6 1 2 6 0132 0132 3201 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.033358087219 0.431600839147 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793636673085 0.562823045674 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 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 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 0.363279005115 0.558253269092 3 3 6 6 0132 2310 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 2.372039630371 0.839333341239 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 13154735760049618703937/67522853945433358231*c_0101_6^20 + 1267196721252318622603431/2565868449926467612778*c_0101_6^18 + 4928312204071481775070199/5131736899852935225556*c_0101_6^16 - 15261004791043642211098075/10263473799705870451112*c_0101_6^14 - 4585327267591419566554531/2565868449926467612778*c_0101_6^12 + 16873533778056403541541773/5131736899852935225556*c_0101_6^10 - 2797661858506907823994097/10263473799705870451112*c_0101_6^8 - 14010157405326774494669357/10263473799705870451112*c_0101_6^6 + 3539310137292228379526595/10263473799705870451112*c_0101_6^4 + 657102958777597292054565/2565868449926467612778*c_0101_6^2 - 892782209709303117721165/10263473799705870451112, c_0011_0 - 1, c_0011_4 - 3024222583449866857047/1282934224963233806389*c_0101_6^21 + 10384570987940295859733/1282934224963233806389*c_0101_6^19 + 32509710272262299694121/5131736899852935225556*c_0101_6^17 - 38046442743375598252326/1282934224963233806389*c_0101_6^15 - 5841884559424688478615/1282934224963233806389*c_0101_6^13 + 343551413052046323594241/5131736899852935225556*c_0101_6^11 - 196224785026058500543363/5131736899852935225556*c_0101_6^9 - 139115471950991404340825/5131736899852935225556*c_0101_6^7 + 2960376748218717001367/135045707890866716462*c_0101_6^5 + 33049815910617828004923/5131736899852935225556*c_0101_6^3 - 6397361914531794009749/1282934224963233806389*c_0101_6, c_0101_0 - 13184570008407166461513/1282934224963233806389*c_0101_6^21 + 29578609625754183859099/1282934224963233806389*c_0101_6^19 + 302985392344054582438535/5131736899852935225556*c_0101_6^17 - 80530120648660295640050/1282934224963233806389*c_0101_6^15 - 161971915790768929920384/1282934224963233806389*c_0101_6^13 + 687137367000262610309023/5131736899852935225556*c_0101_6^11 + 266505900296568278830331/5131736899852935225556*c_0101_6^9 - 284478529263919302265379/5131736899852935225556*c_0101_6^7 - 57504312647593242594779/2565868449926467612778*c_0101_6^5 + 60039092014281218945357/5131736899852935225556*c_0101_6^3 + 4643734989111441087821/1282934224963233806389*c_0101_6, c_0101_1 + 4141545928240107980862/1282934224963233806389*c_0101_6^20 - 12521000846336815396106/1282934224963233806389*c_0101_6^18 - 37914148968421906101737/2565868449926467612778*c_0101_6^16 + 47844544752387442826604/1282934224963233806389*c_0101_6^14 + 46608752481105550243593/1282934224963233806389*c_0101_6^12 - 195784134840771914674761/2565868449926467612778*c_0101_6^10 - 12688246319340828197853/2565868449926467612778*c_0101_6^8 + 101682057942635884419477/2565868449926467612778*c_0101_6^6 + 1118530734200875774519/1282934224963233806389*c_0101_6^4 - 24176424900777718930537/2565868449926467612778*c_0101_6^2 + 821102851729960019127/1282934224963233806389, c_0101_2 - 25577855878256595000/4769272211759233481*c_0101_6^21 + 68862121371674762856/4769272211759233481*c_0101_6^19 + 120415557166230779318/4769272211759233481*c_0101_6^17 - 222959959720996512096/4769272211759233481*c_0101_6^15 - 12316967392992946829/251014326934696499*c_0101_6^13 + 483279863453466708213/4769272211759233481*c_0101_6^11 - 42851838708105975145/4769272211759233481*c_0101_6^9 - 213140957624219781926/4769272211759233481*c_0101_6^7 + 36488364407514951336/4769272211759233481*c_0101_6^5 + 53401823772670208121/4769272211759233481*c_0101_6^3 - 11063087516910074210/4769272211759233481*c_0101_6, c_0101_3 - 5345238275119062144/4769272211759233481*c_0101_6^20 + 14393765670864708068/4769272211759233481*c_0101_6^18 + 25871527094635547904/4769272211759233481*c_0101_6^16 - 48977645347626919751/4769272211759233481*c_0101_6^14 - 2680746421253925423/251014326934696499*c_0101_6^12 + 109115360568572868605/4769272211759233481*c_0101_6^10 - 7333950603803290676/4769272211759233481*c_0101_6^8 - 60612755130311011164/4769272211759233481*c_0101_6^6 + 18587519938376509371/4769272211759233481*c_0101_6^4 + 15494728591141814271/4769272211759233481*c_0101_6^2 - 5400824208753223481/4769272211759233481, c_0101_6^22 - 235/81*c_0101_6^20 - 1343/324*c_0101_6^18 + 788/81*c_0101_6^16 + 586/81*c_0101_6^14 - 6767/324*c_0101_6^12 + 1925/324*c_0101_6^10 + 869/108*c_0101_6^8 - 205/54*c_0101_6^6 - 49/36*c_0101_6^4 + 23/27*c_0101_6^2 - 2/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB