Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 3482211096] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1082 geometric_solution 4.95170343 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 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 -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 1.308193980817 0.095796793136 2 0 0 2 0132 0132 1023 1023 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 1 0 -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 1.549029735317 0.395807533838 1 3 4 1 0132 0132 0132 1023 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 -1 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 0.010773744575 0.629758935966 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 0 0 0 -1 0 0 1 -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 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 0.228178862538 0.721863168385 5 3 3 2 2310 1302 3201 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 -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 0.228178862538 0.721863168385 6 6 4 3 0132 2310 3201 0132 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 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 0.350797154705 0.986016109113 5 6 6 5 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 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 -1 0 1 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 -0.404418124414 0.497687872501 ==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' : negation(d['1']), 's_3_0' : negation(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' : 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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], '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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t - 192258736988820/211626943121*c_0101_2*c_0101_3^18 - 1052352041296448/211626943121*c_0101_2*c_0101_3^17 - 642337490687921/211626943121*c_0101_2*c_0101_3^16 + 4167626745372809/211626943121*c_0101_2*c_0101_3^15 + 9041442296172610/211626943121*c_0101_2*c_0101_3^14 + 1294055596198639/211626943121*c_0101_2*c_0101_3^13 - 14308048515297952/211626943121*c_0101_2*c_0101_3^12 - 16562564426997051/211626943121*c_0101_2*c_0101_3^11 + 1340213700530305/211626943121*c_0101_2*c_0101_3^10 + 16441215591270186/211626943121*c_0101_2*c_0101_3^9 + 11849548040015297/211626943121*c_0101_2*c_0101_3^8 - 2817326782407574/211626943121*c_0101_2*c_0101_3^7 - 8144072041808792/211626943121*c_0101_2*c_0101_3^6 - 3522978922611627/211626943121*c_0101_2*c_0101_3^5 + 1313496172266529/211626943121*c_0101_2*c_0101_3^4 + 9106647476863/1131694883*c_0101_2*c_0101_3^3 + 370513868284282/211626943121*c_0101_2*c_0101_3^2 - 210160369553142/211626943121*c_0101_2*c_0101_3 - 101628951950283/211626943121*c_0101_2, c_0011_0 - 1, c_0011_4 - 4/11*c_0101_2*c_0101_3^18 - 20/11*c_0101_2*c_0101_3^17 - 5/11*c_0101_2*c_0101_3^16 + 84/11*c_0101_2*c_0101_3^15 + 149/11*c_0101_2*c_0101_3^14 - 21/11*c_0101_2*c_0101_3^13 - 256/11*c_0101_2*c_0101_3^12 - 241/11*c_0101_2*c_0101_3^11 + 81/11*c_0101_2*c_0101_3^10 + 262/11*c_0101_2*c_0101_3^9 + 158/11*c_0101_2*c_0101_3^8 - 80/11*c_0101_2*c_0101_3^7 - 109/11*c_0101_2*c_0101_3^6 - 49/11*c_0101_2*c_0101_3^5 + 35/11*c_0101_2*c_0101_3^4 + c_0101_2*c_0101_3^3 + 14/11*c_0101_2*c_0101_3^2 - 14/11*c_0101_2*c_0101_3 - 1/11*c_0101_2, c_0011_5 - 7792821992/1131694883*c_0101_2*c_0101_3^18 - 50324241776/1131694883*c_0101_2*c_0101_3^17 - 74184497570/1131694883*c_0101_2*c_0101_3^16 + 102906740366/1131694883*c_0101_2*c_0101_3^15 + 471075186564/1131694883*c_0101_2*c_0101_3^14 + 494773155588/1131694883*c_0101_2*c_0101_3^13 - 135121774416/1131694883*c_0101_2*c_0101_3^12 - 821104964749/1131694883*c_0101_2*c_0101_3^11 - 742665814705/1131694883*c_0101_2*c_0101_3^10 - 36176658600/1131694883*c_0101_2*c_0101_3^9 + 489296612683/1131694883*c_0101_2*c_0101_3^8 + 418657287860/1131694883*c_0101_2*c_0101_3^7 + 89565342061/1131694883*c_0101_2*c_0101_3^6 - 96617461387/1131694883*c_0101_2*c_0101_3^5 - 92198579853/1131694883*c_0101_2*c_0101_3^4 - 2759775043/102881353*c_0101_2*c_0101_3^3 + 3203905487/1131694883*c_0101_2*c_0101_3^2 + 6562920593/1131694883*c_0101_2*c_0101_3 + 2168404252/1131694883*c_0101_2, c_0101_0 + 43926820/1131694883*c_0101_2*c_0101_3^18 + 19416412272/1131694883*c_0101_2*c_0101_3^17 + 118075736417/1131694883*c_0101_2*c_0101_3^16 + 145649810815/1131694883*c_0101_2*c_0101_3^15 - 305464149495/1131694883*c_0101_2*c_0101_3^14 - 1105995944018/1131694883*c_0101_2*c_0101_3^13 - 922726586513/1131694883*c_0101_2*c_0101_3^12 + 725607487156/1131694883*c_0101_2*c_0101_3^11 + 2144116236589/1131694883*c_0101_2*c_0101_3^10 + 1400184693563/1131694883*c_0101_2*c_0101_3^9 - 591230621974/1131694883*c_0101_2*c_0101_3^8 - 1559707173239/1131694883*c_0101_2*c_0101_3^7 - 819380381114/1131694883*c_0101_2*c_0101_3^6 + 191013292779/1131694883*c_0101_2*c_0101_3^5 + 462955243843/1131694883*c_0101_2*c_0101_3^4 + 17493851438/102881353*c_0101_2*c_0101_3^3 - 19012443708/1131694883*c_0101_2*c_0101_3^2 - 48010563706/1131694883*c_0101_2*c_0101_3 - 14731610808/1131694883*c_0101_2, c_0101_1 + 41351789192/1131694883*c_0101_2*c_0101_3^18 + 243204013564/1131694883*c_0101_2*c_0101_3^17 + 241327954446/1131694883*c_0101_2*c_0101_3^16 - 769879927499/1131694883*c_0101_2*c_0101_3^15 - 2209357099426/1131694883*c_0101_2*c_0101_3^14 - 1229751357766/1131694883*c_0101_2*c_0101_3^13 + 2285866398059/1131694883*c_0101_2*c_0101_3^12 + 4158539236525/1131694883*c_0101_2*c_0101_3^11 + 1493012667378/1131694883*c_0101_2*c_0101_3^10 - 2358627465134/1131694883*c_0101_2*c_0101_3^9 - 2997449493004/1131694883*c_0101_2*c_0101_3^8 - 643148808773/1131694883*c_0101_2*c_0101_3^7 + 1084944646745/1131694883*c_0101_2*c_0101_3^6 + 894623589317/1131694883*c_0101_2*c_0101_3^5 + 75240750272/1131694883*c_0101_2*c_0101_3^4 - 19753986215/102881353*c_0101_2*c_0101_3^3 - 93979075973/1131694883*c_0101_2*c_0101_3^2 + 8966570780/1131694883*c_0101_2*c_0101_3 + 10987206513/1131694883*c_0101_2, c_0101_2^2 - 349206828/102881353*c_0101_3^18 - 2343777644/102881353*c_0101_3^17 - 3851789715/102881353*c_0101_3^16 + 4030659728/102881353*c_0101_3^15 + 22585819440/102881353*c_0101_3^14 + 26970388678/102881353*c_0101_3^13 - 2636373088/102881353*c_0101_3^12 - 40639278252/102881353*c_0101_3^11 - 42334353449/102881353*c_0101_3^10 - 6060808941/102881353*c_0101_3^9 + 25820624525/102881353*c_0101_3^8 + 25162088543/102881353*c_0101_3^7 + 5882451812/102881353*c_0101_3^6 - 6110895866/102881353*c_0101_3^5 - 6018352426/102881353*c_0101_3^4 - 1615822352/102881353*c_0101_3^3 + 370470580/102881353*c_0101_3^2 + 479633881/102881353*c_0101_3 + 101977877/102881353, c_0101_3^19 + 6*c_0101_3^18 + 25/4*c_0101_3^17 - 79/4*c_0101_3^16 - 233/4*c_0101_3^15 - 32*c_0101_3^14 + 277/4*c_0101_3^13 + 497/4*c_0101_3^12 + 40*c_0101_3^11 - 343/4*c_0101_3^10 - 105*c_0101_3^9 - 39/2*c_0101_3^8 + 189/4*c_0101_3^7 + 79/2*c_0101_3^6 + 7/2*c_0101_3^5 - 23/2*c_0101_3^4 - 25/4*c_0101_3^3 + c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB