Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 930523652] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2717 geometric_solution 5.96739348 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 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 1.075003537242 0.849337240025 0 1 0 1 0132 1302 1023 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523769248468 0.219709802862 4 0 4 5 0132 0132 2031 0132 0 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 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 0.457090459759 0.559069826155 5 4 0 5 1302 1230 0132 1230 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 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 0.724057496127 1.066117425456 2 6 3 2 0132 0132 3012 1302 0 0 0 0 0 0 1 -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 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 1.037832248225 0.719568871281 3 3 2 6 3012 2031 0132 1230 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.421891844039 1.292858414903 5 4 6 6 3012 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771885694532 0.699040532665 ==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_0110_6'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_6'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 5617647191621/843532741747*c_0110_6^15 + 40011200559706/843532741747*c_0110_6^14 + 33302328901907/843532741747*c_0110_6^13 - 107000499321228/843532741747*c_0110_6^12 + 204954721633157/843532741747*c_0110_6^11 + 488883071944030/843532741747*c_0110_6^10 - 331520228941868/843532741747*c_0110_6^9 - 660451715710382/843532741747*c_0110_6^8 - 8368749382335/843532741747*c_0110_6^7 - 94623516648892/843532741747*c_0110_6^6 - 91063803381303/843532741747*c_0110_6^5 + 273184463360204/843532741747*c_0110_6^4 + 55199704470555/843532741747*c_0110_6^3 - 41471436255379/843532741747*c_0110_6^2 + 18106031765347/843532741747*c_0110_6 - 20430371745336/843532741747, c_0011_0 - 1, c_0011_3 + 110534548701/843532741747*c_0110_6^15 - 704776097310/843532741747*c_0110_6^14 - 1222913106438/843532741747*c_0110_6^13 + 1530973488675/843532741747*c_0110_6^12 - 2982039852608/843532741747*c_0110_6^11 - 12561514275668/843532741747*c_0110_6^10 - 508673975446/843532741747*c_0110_6^9 + 13940648088481/843532741747*c_0110_6^8 + 6566180055958/843532741747*c_0110_6^7 + 6563046116013/843532741747*c_0110_6^6 + 7780866019028/843532741747*c_0110_6^5 - 2067349311820/843532741747*c_0110_6^4 - 985097392501/843532741747*c_0110_6^3 + 464725596721/843532741747*c_0110_6^2 - 1586827373955/843532741747*c_0110_6 - 73760701513/843532741747, c_0011_5 - 377405251150/843532741747*c_0110_6^15 + 2184260841249/843532741747*c_0110_6^14 + 5950722318836/843532741747*c_0110_6^13 - 5361753805017/843532741747*c_0110_6^12 + 5529211373480/843532741747*c_0110_6^11 + 53585926647652/843532741747*c_0110_6^10 + 12472236701249/843532741747*c_0110_6^9 - 71585881351759/843532741747*c_0110_6^8 - 40064844725251/843532741747*c_0110_6^7 - 14137126578540/843532741747*c_0110_6^6 - 24463231599525/843532741747*c_0110_6^5 + 16636694814586/843532741747*c_0110_6^4 + 17181908358648/843532741747*c_0110_6^3 - 1610579430906/843532741747*c_0110_6^2 + 3649909210616/843532741747*c_0110_6 - 1855675426542/843532741747, c_0101_0 + 1709310461099/843532741747*c_0110_6^15 - 11652435901683/843532741747*c_0110_6^14 - 13912908679282/843532741747*c_0110_6^13 + 30205153647421/843532741747*c_0110_6^12 - 54386957470580/843532741747*c_0110_6^11 - 169057475257144/843532741747*c_0110_6^10 + 62377278185596/843532741747*c_0110_6^9 + 223023006262900/843532741747*c_0110_6^8 + 46000362397134/843532741747*c_0110_6^7 + 42789684938328/843532741747*c_0110_6^6 + 50851341999472/843532741747*c_0110_6^5 - 74489956167088/843532741747*c_0110_6^4 - 31419604278089/843532741747*c_0110_6^3 + 7214979520706/843532741747*c_0110_6^2 - 8566870977433/843532741747*c_0110_6 + 4297255679956/843532741747, c_0101_2 + 1264264448284/843532741747*c_0110_6^15 - 8240986245428/843532741747*c_0110_6^14 - 13129614674595/843532741747*c_0110_6^13 + 21368329340821/843532741747*c_0110_6^12 - 33669022865723/843532741747*c_0110_6^11 - 141873131643620/843532741747*c_0110_6^10 + 22392421282229/843532741747*c_0110_6^9 + 190467330004031/843532741747*c_0110_6^8 + 59282961723574/843532741747*c_0110_6^7 + 31194359129996/843532741747*c_0110_6^6 + 52386460409940/843532741747*c_0110_6^5 - 54363386043291/843532741747*c_0110_6^4 - 33982144897982/843532741747*c_0110_6^3 + 6053934707791/843532741747*c_0110_6^2 - 8064639815634/843532741747*c_0110_6 + 3745533059615/843532741747, c_0101_4 - 1037422550820/843532741747*c_0110_6^15 + 6940570784951/843532741747*c_0110_6^14 + 9276069826460/843532741747*c_0110_6^13 - 16790758130880/843532741747*c_0110_6^12 + 31026656661459/843532741747*c_0110_6^11 + 105455607852816/843532741747*c_0110_6^10 - 22660847223496/843532741747*c_0110_6^9 - 134315149971345/843532741747*c_0110_6^8 - 49581554679924/843532741747*c_0110_6^7 - 39713725144697/843532741747*c_0110_6^6 - 32436774059528/843532741747*c_0110_6^5 + 44587081349850/843532741747*c_0110_6^4 + 22769744708504/843532741747*c_0110_6^3 + 222934250702/843532741747*c_0110_6^2 + 5843107672251/843532741747*c_0110_6 - 3420147296850/843532741747, c_0110_6^16 - 7*c_0110_6^15 - 7*c_0110_6^14 + 20*c_0110_6^13 - 35*c_0110_6^12 - 95*c_0110_6^11 + 60*c_0110_6^10 + 129*c_0110_6^9 - 6*c_0110_6^8 + 16*c_0110_6^7 + 26*c_0110_6^6 - 55*c_0110_6^5 - 8*c_0110_6^4 + 11*c_0110_6^3 - 7*c_0110_6^2 + 5*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB