Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 3886447416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1446 geometric_solution 5.26843339 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.873735871627 0.947780293012 0 4 2 3 0132 3120 2031 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192155562 0.570367234598 5 0 5 1 0132 0132 2310 1302 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 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 1.623497630499 0.629247030050 3 3 1 0 1302 2031 2031 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 1 0 -1 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 0.519792212926 0.437418544604 4 1 0 4 3012 3120 0132 1230 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 0 0 0 0 0 0 0.076769309181 0.743385396783 2 2 6 6 0132 3201 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359873399455 0.356994953889 6 5 6 5 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.298708016468 0.534890318251 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 3216689715998425337317/111373082779403044870*c_0101_5^24 - 13293846808273184973626/55686541389701522435*c_0101_5^22 + 77382317983425726276567/111373082779403044870*c_0101_5^20 - 52094391713591518629762/55686541389701522435*c_0101_5^18 + 9783724694163694055527/11137308277940304487*c_0101_5^16 - 112719188877116833687663/111373082779403044870*c_0101_5^14 + 60368720508463399112178/55686541389701522435*c_0101_5^12 - 32372468039317606632729/22274616555880608974*c_0101_5^10 + 88244450289755257530203/55686541389701522435*c_0101_5^8 - 37603716809608387173121/55686541389701522435*c_0101_5^6 + 6283233280803133297683/111373082779403044870*c_0101_5^4 - 2396844457411627256643/111373082779403044870*c_0101_5^2 + 410853605839048165992/55686541389701522435, c_0011_0 - 1, c_0011_3 + 73996767710940309/8392847232811081*c_0101_5^25 - 667211759182834582/8392847232811081*c_0101_5^23 + 2225586636629092979/8392847232811081*c_0101_5^21 - 3623918657225668279/8392847232811081*c_0101_5^19 + 3755944236302578163/8392847232811081*c_0101_5^17 - 3931337020634216013/8392847232811081*c_0101_5^15 + 4399549796286163620/8392847232811081*c_0101_5^13 - 5406378410460240784/8392847232811081*c_0101_5^11 + 6455538346107924099/8392847232811081*c_0101_5^9 - 4191599826177839656/8392847232811081*c_0101_5^7 + 865400478500970115/8392847232811081*c_0101_5^5 + 12403449736015532/8392847232811081*c_0101_5^3 + 42538535389184686/8392847232811081*c_0101_5, c_0011_4 + 5134984868111/1312569794611*c_0101_5^25 - 48036648025422/1312569794611*c_0101_5^23 + 168181204507356/1312569794611*c_0101_5^21 - 288158841917774/1312569794611*c_0101_5^19 + 301959359893891/1312569794611*c_0101_5^17 - 305667146762557/1312569794611*c_0101_5^15 + 348347587406925/1312569794611*c_0101_5^13 - 419763125510185/1312569794611*c_0101_5^11 + 512745260003859/1312569794611*c_0101_5^9 - 356230176611818/1312569794611*c_0101_5^7 + 66234928517130/1312569794611*c_0101_5^5 + 9835183722218/1312569794611*c_0101_5^3 + 4182348435228/1312569794611*c_0101_5, c_0011_6 - 10695364445811794/8392847232811081*c_0101_5^24 + 84245959708819517/8392847232811081*c_0101_5^22 - 219805823520786225/8392847232811081*c_0101_5^20 + 224281896776569853/8392847232811081*c_0101_5^18 - 141430866368717861/8392847232811081*c_0101_5^16 + 203884569233391290/8392847232811081*c_0101_5^14 - 210230948112303676/8392847232811081*c_0101_5^12 + 322934707042238925/8392847232811081*c_0101_5^10 - 330183094674475833/8392847232811081*c_0101_5^8 - 72444423707174971/8392847232811081*c_0101_5^6 + 133058508558977771/8392847232811081*c_0101_5^4 - 2315944529917009/8392847232811081*c_0101_5^2 + 3756861879238862/8392847232811081, c_0101_0 - 2874882281750862424/586174119891594973*c_0101_5^24 + 25147022402741939260/586174119891594973*c_0101_5^22 - 80332435229524387499/586174119891594973*c_0101_5^20 + 124414661572718159825/586174119891594973*c_0101_5^18 - 127472500190986763266/586174119891594973*c_0101_5^16 + 138066459107638804478/586174119891594973*c_0101_5^14 - 151706975992434415185/586174119891594973*c_0101_5^12 + 190132890444270268617/586174119891594973*c_0101_5^10 - 221883992787213221730/586174119891594973*c_0101_5^8 + 133663065360844942674/586174119891594973*c_0101_5^6 - 30861858790331725705/586174119891594973*c_0101_5^4 + 3525963515780137818/586174119891594973*c_0101_5^2 - 1103206350198504034/586174119891594973, c_0101_2 - 12411055511553517/8392847232811081*c_0101_5^25 + 117397152386182784/8392847232811081*c_0101_5^23 - 417082262841391560/8392847232811081*c_0101_5^21 + 724678371578627284/8392847232811081*c_0101_5^19 - 754917064685533232/8392847232811081*c_0101_5^17 + 744626133975808282/8392847232811081*c_0101_5^15 - 861070862402735922/8392847232811081*c_0101_5^13 + 1036486395309334950/8392847232811081*c_0101_5^11 - 1264657401155634104/8392847232811081*c_0101_5^9 + 898527269492274331/8392847232811081*c_0101_5^7 - 132860733374930584/8392847232811081*c_0101_5^5 - 49274683117423861/8392847232811081*c_0101_5^3 - 22769033907197821/8392847232811081*c_0101_5, c_0101_5^26 - 206/23*c_0101_5^24 + 681/23*c_0101_5^22 - 1099/23*c_0101_5^20 + 1141/23*c_0101_5^18 - 1207/23*c_0101_5^16 + 1346/23*c_0101_5^14 - 1659/23*c_0101_5^12 + 1969/23*c_0101_5^10 - 1267/23*c_0101_5^8 + 285/23*c_0101_5^6 - 19/23*c_0101_5^4 + 18/23*c_0101_5^2 - 1/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB