Magma V2.19-8 Tue Aug 20 2013 16:17:52 on localhost [Seed = 2412647282] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2106 geometric_solution 5.60428277 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 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 -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 -1.068325757641 0.629829482462 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314794942388 0.568906805992 4 5 1 3 0132 0132 0132 1302 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603533301567 0.522961840465 5 4 2 1 3201 2310 2031 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603533301567 0.522961840465 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 1 0 0 0 1 -1 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 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053639647666 0.820021613247 6 2 6 3 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.116356860204 1.479793498916 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277804285953 0.309549906504 ==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_0101_5'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 36503386016924819/50850266402869*c_0101_5^24 + 3830319160192276996/152550799208607*c_0101_5^22 - 55759171957034128841/152550799208607*c_0101_5^20 + 443679695741227813118/152550799208607*c_0101_5^18 - 706273018750959926785/50850266402869*c_0101_5^16 + 6207057953113017501877/152550799208607*c_0101_5^14 - 3665108332980274916326/50850266402869*c_0101_5^12 + 11885277819984166862578/152550799208607*c_0101_5^10 - 7889169816238428648464/152550799208607*c_0101_5^8 + 3166740290468881628429/152550799208607*c_0101_5^6 - 726213734994105422470/152550799208607*c_0101_5^4 + 81187899582562994023/152550799208607*c_0101_5^2 - 2474668409344045129/152550799208607, c_0011_0 - 1, c_0011_2 + 2086844607983588/152550799208607*c_0101_5^25 - 71753622040936871/152550799208607*c_0101_5^23 + 340101327383209958/50850266402869*c_0101_5^21 - 7860021538231360049/152550799208607*c_0101_5^19 + 35859812981185906934/152550799208607*c_0101_5^17 - 98113783782622365643/152550799208607*c_0101_5^15 + 156240818030911138532/152550799208607*c_0101_5^13 - 146758272522231730580/152550799208607*c_0101_5^11 + 27538273096254662122/50850266402869*c_0101_5^9 - 27720029347556672833/152550799208607*c_0101_5^7 + 1755895665039705965/50850266402869*c_0101_5^5 - 162056883888850526/50850266402869*c_0101_5^3 + 13596613153937053/152550799208607*c_0101_5, c_0101_0 + 36121467793320/50850266402869*c_0101_5^25 - 3718464557087758/152550799208607*c_0101_5^23 + 52735526327411297/152550799208607*c_0101_5^21 - 404888685870057443/152550799208607*c_0101_5^19 + 613180846513592270/50850266402869*c_0101_5^17 - 5008544909212952407/152550799208607*c_0101_5^15 + 2648885435646031628/50850266402869*c_0101_5^13 - 7531261713108840067/152550799208607*c_0101_5^11 + 4414374600396666095/152550799208607*c_0101_5^9 - 1623058429574653964/152550799208607*c_0101_5^7 + 359345007455252026/152550799208607*c_0101_5^5 - 42191321696914267/152550799208607*c_0101_5^3 + 1857022472733760/152550799208607*c_0101_5, c_0101_1 - 615027117804386/152550799208607*c_0101_5^25 + 21120401883281003/152550799208607*c_0101_5^23 - 99929584675747009/50850266402869*c_0101_5^21 + 2303552664812586413/152550799208607*c_0101_5^19 - 10469334165132040610/152550799208607*c_0101_5^17 + 28466463942496589314/152550799208607*c_0101_5^15 - 44831812752040668431/152550799208607*c_0101_5^13 + 41361311914296630905/152550799208607*c_0101_5^11 - 7549565058697447480/50850266402869*c_0101_5^9 + 7290651498323207854/152550799208607*c_0101_5^7 - 434309696469245724/50850266402869*c_0101_5^5 + 36494632217190215/50850266402869*c_0101_5^3 - 2491569399540223/152550799208607*c_0101_5, c_0101_3 - 895245681153752/152550799208607*c_0101_5^24 + 30550194857192111/152550799208607*c_0101_5^22 - 143269151606065833/50850266402869*c_0101_5^20 + 3261001502018645588/152550799208607*c_0101_5^18 - 14544395748382207598/152550799208607*c_0101_5^16 + 38361247993578399010/152550799208607*c_0101_5^14 - 57250145263944067451/152550799208607*c_0101_5^12 + 48519063079051218713/152550799208607*c_0101_5^10 - 7795728055811008336/50850266402869*c_0101_5^8 + 6198177931920420727/152550799208607*c_0101_5^6 - 264107950709898373/50850266402869*c_0101_5^4 + 9960817384427911/50850266402869*c_0101_5^2 - 168341304249457/152550799208607, c_0101_4 + 467168137976564/152550799208607*c_0101_5^24 - 5362843816670355/50850266402869*c_0101_5^22 + 229282002135326006/152550799208607*c_0101_5^20 - 1771900506799062118/152550799208607*c_0101_5^18 + 8121660520629979100/152550799208607*c_0101_5^16 - 22385465913900963356/152550799208607*c_0101_5^14 + 36095354625948105239/152550799208607*c_0101_5^12 - 11511132860920007944/50850266402869*c_0101_5^10 + 19907489656893099170/152550799208607*c_0101_5^8 - 2288585910520008033/50850266402869*c_0101_5^6 + 1344639513748982752/152550799208607*c_0101_5^4 - 128537299746716992/152550799208607*c_0101_5^2 + 3694205917463837/152550799208607, c_0101_5^26 - 35*c_0101_5^24 + 510*c_0101_5^22 - 4064*c_0101_5^20 + 19452*c_0101_5^18 - 57204*c_0101_5^16 + 102053*c_0101_5^14 - 111734*c_0101_5^12 + 75843*c_0101_5^10 - 31653*c_0101_5^8 + 7800*c_0101_5^6 - 1022*c_0101_5^4 + 55*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB