Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 2033771931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0574 geometric_solution 4.59553541 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 -1 0 1 -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 0 0 1 -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 -3.584284308570 3.783126084152 0 0 3 3 0132 3201 3201 0132 0 0 0 0 0 -1 0 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 1 0 -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 0.128739378848 0.245532976283 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 1 0 -1 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 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 0.114125089429 0.067927514841 1 4 1 5 2310 0132 0132 0132 0 0 0 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 0 0 0 0 0 -1 1 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 1.803325021014 1.603647043593 6 3 5 5 0132 0132 3012 2310 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296338549680 1.139501846282 4 4 3 6 3201 1230 0132 3201 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296338549680 1.139501846282 4 5 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 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 0.199129458675 0.399958596827 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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_0101_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_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_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 438617267953/70213*c_0110_2^21 - 170876552577/70213*c_0110_2^20 - 17039552235779/70213*c_0110_2^19 + 45674944842561/70213*c_0110_2^18 + 115916418840/5401*c_0110_2^17 - 27337073029160/70213*c_0110_2^16 - 43760180106119/70213*c_0110_2^15 - 420262345562003/70213*c_0110_2^14 + 396635565704392/70213*c_0110_2^13 + 1420623074362429/70213*c_0110_2^12 - 631278222712524/70213*c_0110_2^11 - 2338153788553732/70213*c_0110_2^10 + 4866829511517/6383*c_0110_2^9 + 2111306298700372/70213*c_0110_2^8 + 731168037499561/70213*c_0110_2^7 - 874396265898685/70213*c_0110_2^6 - 674416272228827/70213*c_0110_2^5 + 849606030990/70213*c_0110_2^4 + 170728583231480/70213*c_0110_2^3 + 78379067446566/70213*c_0110_2^2 + 15156294278848/70213*c_0110_2 + 1129173823504/70213, c_0011_0 - 1, c_0011_3 - 14*c_0110_2^21 + c_0110_2^20 + 546*c_0110_2^19 - 1285*c_0110_2^18 - 527*c_0110_2^17 + 898*c_0110_2^16 + 1675*c_0110_2^15 + 13834*c_0110_2^14 - 8431*c_0110_2^13 - 49743*c_0110_2^12 + 6083*c_0110_2^11 + 82296*c_0110_2^10 + 21451*c_0110_2^9 - 70007*c_0110_2^8 - 44699*c_0110_2^7 + 22370*c_0110_2^6 + 31037*c_0110_2^5 + 6031*c_0110_2^4 - 6056*c_0110_2^3 - 4230*c_0110_2^2 - 1125*c_0110_2 - 119, c_0011_5 - 104*c_0110_2^21 + 13*c_0110_2^20 + 4055*c_0110_2^19 - 9763*c_0110_2^18 - 3380*c_0110_2^17 + 6827*c_0110_2^16 + 12059*c_0110_2^15 + 102137*c_0110_2^14 - 68061*c_0110_2^13 - 365564*c_0110_2^12 + 64664*c_0110_2^11 + 606759*c_0110_2^10 + 126707*c_0110_2^9 - 525042*c_0110_2^8 - 303014*c_0110_2^7 + 181039*c_0110_2^6 + 219527*c_0110_2^5 + 33260*c_0110_2^4 - 45995*c_0110_2^3 - 28654*c_0110_2^2 - 6916*c_0110_2 - 645, c_0101_0 + c_0110_2^21 - 39*c_0110_2^19 + 89*c_0110_2^18 + 44*c_0110_2^17 - 61*c_0110_2^16 - 124*c_0110_2^15 - 997*c_0110_2^14 + 531*c_0110_2^13 + 3591*c_0110_2^12 - 178*c_0110_2^11 - 5891*c_0110_2^10 - 1953*c_0110_2^9 + 4861*c_0110_2^8 + 3540*c_0110_2^7 - 1345*c_0110_2^6 - 2313*c_0110_2^5 - 596*c_0110_2^4 + 390*c_0110_2^3 + 330*c_0110_2^2 + 105*c_0110_2 + 15, c_0101_1 - 90314589/491*c_0110_2^21 + 34638842/491*c_0110_2^20 + 3509001289/491*c_0110_2^19 - 9383848762/491*c_0110_2^18 - 375481747/491*c_0110_2^17 + 5655689723/491*c_0110_2^16 + 9028236820/491*c_0110_2^15 + 86579894680/491*c_0110_2^14 - 81164952774/491*c_0110_2^13 - 293205438748/491*c_0110_2^12 + 128563357431/491*c_0110_2^11 + 482779885070/491*c_0110_2^10 - 8852355132/491*c_0110_2^9 - 435703954034/491*c_0110_2^8 - 152536995879/491*c_0110_2^7 + 180066196504/491*c_0110_2^6 + 139817841780/491*c_0110_2^5 + 148806635/491*c_0110_2^4 - 35293315103/491*c_0110_2^3 - 16257026094/491*c_0110_2^2 - 3150037549/491*c_0110_2 - 235063339/491, c_0101_4 - 30563144/491*c_0110_2^21 + 11509934/491*c_0110_2^20 + 1187593723/491*c_0110_2^19 - 3167321674/491*c_0110_2^18 - 150654963/491*c_0110_2^17 + 1916483162/491*c_0110_2^16 + 3070668388/491*c_0110_2^15 + 29317050354/491*c_0110_2^14 - 27266893917/491*c_0110_2^13 - 99452984726/491*c_0110_2^12 + 42836720329/491*c_0110_2^11 + 163824685251/491*c_0110_2^10 - 1881022690/491*c_0110_2^9 - 147704602881/491*c_0110_2^8 - 52679347118/491*c_0110_2^7 + 60781871117/491*c_0110_2^6 + 47825210210/491*c_0110_2^5 + 298056180/491*c_0110_2^4 - 12005555917/491*c_0110_2^3 - 5581741885/491*c_0110_2^2 - 1089506014/491*c_0110_2 - 81916872/491, c_0110_2^22 - 39*c_0110_2^20 + 89*c_0110_2^19 + 44*c_0110_2^18 - 61*c_0110_2^17 - 124*c_0110_2^16 - 997*c_0110_2^15 + 531*c_0110_2^14 + 3591*c_0110_2^13 - 178*c_0110_2^12 - 5891*c_0110_2^11 - 1953*c_0110_2^10 + 4861*c_0110_2^9 + 3540*c_0110_2^8 - 1345*c_0110_2^7 - 2313*c_0110_2^6 - 596*c_0110_2^5 + 390*c_0110_2^4 + 330*c_0110_2^3 + 104*c_0110_2^2 + 16*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB