Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 425231834] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0496 geometric_solution 4.51147661 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 -1 1 0 1 0 0 -1 1 -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 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 1.852914209762 0.528082279976 0 2 3 0 3201 0132 0132 0132 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 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 0.494304378674 0.807529026873 3 1 4 3 2103 0132 0132 2031 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 -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 0.696371286840 0.697704790763 4 2 2 1 1023 1302 2103 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696371286840 0.697704790763 5 3 5 2 0132 1023 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826353467964 0.295569269707 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762210991517 0.113569398789 6 5 6 5 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662591510600 0.050079516957 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(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_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 4992514223665/193347483059*c_0110_6^16 + 19365678546085/193347483059*c_0110_6^15 - 52415458089490/193347483059*c_0110_6^14 - 158741821786046/193347483059*c_0110_6^13 + 225940014639299/193347483059*c_0110_6^12 + 313152720007770/193347483059*c_0110_6^11 - 471137627412032/193347483059*c_0110_6^10 - 168957630907116/193347483059*c_0110_6^9 + 634910556957060/193347483059*c_0110_6^8 + 2763182156318/193347483059*c_0110_6^7 - 556910296232035/193347483059*c_0110_6^6 + 65190125861293/193347483059*c_0110_6^5 + 382822395017335/193347483059*c_0110_6^4 - 18700933021900/193347483059*c_0110_6^3 - 134451462867571/193347483059*c_0110_6^2 + 3359702043589/193347483059*c_0110_6 + 33461560581571/193347483059, c_0011_0 - 1, c_0011_1 - 165013013725/193347483059*c_0110_6^16 - 533383544342/193347483059*c_0110_6^15 + 2045750338556/193347483059*c_0110_6^14 + 3840279975467/193347483059*c_0110_6^13 - 9507667118347/193347483059*c_0110_6^12 - 3686279119192/193347483059*c_0110_6^11 + 15894803281750/193347483059*c_0110_6^10 - 4583651587813/193347483059*c_0110_6^9 - 15559827096918/193347483059*c_0110_6^8 + 8959499352332/193347483059*c_0110_6^7 + 10680276207919/193347483059*c_0110_6^6 - 7818574950660/193347483059*c_0110_6^5 - 5530321943972/193347483059*c_0110_6^4 + 2779023075419/193347483059*c_0110_6^3 + 1507689865153/193347483059*c_0110_6^2 - 676171791001/193347483059*c_0110_6 - 148949218657/193347483059, c_0011_3 - 144132300109/193347483059*c_0110_6^16 - 439908180314/193347483059*c_0110_6^15 + 1850821945509/193347483059*c_0110_6^14 + 2992207873517/193347483059*c_0110_6^13 - 8605653351058/193347483059*c_0110_6^12 - 1639231970828/193347483059*c_0110_6^11 + 13046734810954/193347483059*c_0110_6^10 - 5037866568493/193347483059*c_0110_6^9 - 11804852679446/193347483059*c_0110_6^8 + 7282107103720/193347483059*c_0110_6^7 + 8658993112754/193347483059*c_0110_6^6 - 6503340870653/193347483059*c_0110_6^5 - 5034051321428/193347483059*c_0110_6^4 + 2385092680462/193347483059*c_0110_6^3 + 1962784778226/193347483059*c_0110_6^2 - 626968378854/193347483059*c_0110_6 - 328971302232/193347483059, c_0101_0 - 59217883870/193347483059*c_0110_6^16 - 248478018814/193347483059*c_0110_6^15 + 582589892236/193347483059*c_0110_6^14 + 2171778687823/193347483059*c_0110_6^13 - 2532439461358/193347483059*c_0110_6^12 - 5065404141749/193347483059*c_0110_6^11 + 6442173981647/193347483059*c_0110_6^10 + 3095675014670/193347483059*c_0110_6^9 - 9078958364693/193347483059*c_0110_6^8 + 119234442996/193347483059*c_0110_6^7 + 7259301718919/193347483059*c_0110_6^6 - 631845923541/193347483059*c_0110_6^5 - 4890601733385/193347483059*c_0110_6^4 + 143187901386/193347483059*c_0110_6^3 + 1541280409652/193347483059*c_0110_6^2 + 98241947424/193347483059*c_0110_6 - 194313115961/193347483059, c_0101_2 + 130013441718/193347483059*c_0110_6^16 + 374887319025/193347483059*c_0110_6^15 - 1701215940705/193347483059*c_0110_6^14 - 2295889310385/193347483059*c_0110_6^13 + 7809332887558/193347483059*c_0110_6^12 - 729508136931/193347483059*c_0110_6^11 - 10188758843081/193347483059*c_0110_6^10 + 7601992379448/193347483059*c_0110_6^9 + 6731637377709/193347483059*c_0110_6^8 - 7665078549649/193347483059*c_0110_6^7 - 3505433641474/193347483059*c_0110_6^6 + 5592229145843/193347483059*c_0110_6^5 + 1383145530426/193347483059*c_0110_6^4 - 1756039129681/193347483059*c_0110_6^3 - 184101701356/193347483059*c_0110_6^2 + 617551550293/193347483059*c_0110_6 + 32443297665/193347483059, c_0101_4 + 122885739748/193347483059*c_0110_6^16 + 365917863928/193347483059*c_0110_6^15 - 1576828012855/193347483059*c_0110_6^14 - 2351341455617/193347483059*c_0110_6^13 + 7157830047459/193347483059*c_0110_6^12 + 385433661847/193347483059*c_0110_6^11 - 9704924668045/193347483059*c_0110_6^10 + 4807573084548/193347483059*c_0110_6^9 + 8641927467057/193347483059*c_0110_6^8 - 6127461217788/193347483059*c_0110_6^7 - 6278043870137/193347483059*c_0110_6^6 + 6011244734994/193347483059*c_0110_6^5 + 2651834069958/193347483059*c_0110_6^4 - 2081271772522/193347483059*c_0110_6^3 - 787247660646/193347483059*c_0110_6^2 + 822950462597/193347483059*c_0110_6 - 71446284155/193347483059, c_0110_6^17 + 4*c_0110_6^16 - 10*c_0110_6^15 - 33*c_0110_6^14 + 41*c_0110_6^13 + 68*c_0110_6^12 - 85*c_0110_6^11 - 47*c_0110_6^10 + 122*c_0110_6^9 + 19*c_0110_6^8 - 112*c_0110_6^7 - 2*c_0110_6^6 + 79*c_0110_6^5 + 7*c_0110_6^4 - 28*c_0110_6^3 - 3*c_0110_6^2 + 7*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB