Magma V2.19-8 Tue Aug 20 2013 16:19:11 on localhost [Seed = 3616950959] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3308 geometric_solution 6.43954001 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1302 0 0 0 0 0 0 1 -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 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 0.211733260351 1.206866406782 0 4 2 5 0132 0132 2031 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124447146087 0.446369831255 6 0 4 1 0132 0132 0321 1302 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 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 0.734524976992 1.250219952832 4 5 0 0 3120 1302 2031 0132 0 0 0 0 0 0 1 -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 -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 0.524370361920 0.788053262116 6 1 2 3 1023 0132 0321 3120 0 0 0 0 0 0 0 0 -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 0 0 -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 0.539645779470 1.180376018572 6 6 1 3 3012 1230 0132 2031 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579543328019 2.078719084094 2 4 5 5 0132 1023 3012 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 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 0.609307148633 0.710295701652 ==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' : 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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], '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_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 633150778366811042505727/4477694773207035177600*c_1001_0^11 + 2745830162476300961769047/4477694773207035177600*c_1001_0^10 + 5167918890569696568169319/4477694773207035177600*c_1001_0^9 + 337264399361266736433377/279855923325439698600*c_1001_0^8 + 4299815055163106337941849/4477694773207035177600*c_1001_0^7 + 3618157001892295520809433/4477694773207035177600*c_1001_0^6 + 289924052191646843546069/746282462201172529600*c_1001_0^5 + 48981028508822198550279/373141231100586264800*c_1001_0^4 - 669694376091165154297/186570615550293132400*c_1001_0^3 - 2640792749754188765273/55971184665087939720*c_1001_0^2 - 558079222496913931541/27985592332543969860*c_1001_0 - 9669827900587314886651/69963980831359924650, c_0011_0 - 1, c_0011_3 - 702058914797721/29851298488046901184*c_1001_0^11 + 8860386747831141405/29851298488046901184*c_1001_0^10 + 28798298075591489977/29851298488046901184*c_1001_0^9 + 22054550784298012265/14925649244023450592*c_1001_0^8 + 44248981955747789845/29851298488046901184*c_1001_0^7 + 51629970796570373131/29851298488046901184*c_1001_0^6 + 12398888938818495189/7462824622011725296*c_1001_0^5 + 6594128076757672695/7462824622011725296*c_1001_0^4 + 671825769335800729/466426538875732831*c_1001_0^3 + 1404432976584958173/1865706155502931324*c_1001_0^2 + 25048291589526785/932853077751465662*c_1001_0 - 102987847097574699/466426538875732831, c_0011_5 + 30379891663183407509/29851298488046901184*c_1001_0^11 + 133284768274083542863/29851298488046901184*c_1001_0^10 + 266001168912973493511/29851298488046901184*c_1001_0^9 + 157662198635313349157/14925649244023450592*c_1001_0^8 + 291482447199049891243/29851298488046901184*c_1001_0^7 + 248313261183001437969/29851298488046901184*c_1001_0^6 + 9041468122160784685/1865706155502931324*c_1001_0^5 + 8585034622431057061/3731412311005862648*c_1001_0^4 - 265732291054607869/932853077751465662*c_1001_0^3 - 287664524066271729/932853077751465662*c_1001_0^2 - 37564192207414443/932853077751465662*c_1001_0 - 484977030568607659/466426538875732831, c_0101_0 - 7780875529450191259/74628246220117252960*c_1001_0^11 - 51072283106052973559/74628246220117252960*c_1001_0^10 - 100569988190941961223/74628246220117252960*c_1001_0^9 - 19753946381514403701/18657061555029313240*c_1001_0^8 + 4706129030468279427/74628246220117252960*c_1001_0^7 + 32735577446748356839/74628246220117252960*c_1001_0^6 + 34859549836328839591/37314123110058626480*c_1001_0^5 + 27474194899382398781/18657061555029313240*c_1001_0^4 + 7565021083790717737/9328530777514656620*c_1001_0^3 + 517959209294608293/932853077751465662*c_1001_0^2 - 194036651749763290/466426538875732831*c_1001_0 + 379614253112372259/2332132694378664155, c_0101_1 + 4213460491488330849/3731412311005862648*c_1001_0^11 + 75298213956076734699/14925649244023450592*c_1001_0^10 + 144135518741961368551/14925649244023450592*c_1001_0^9 + 153547131503301789635/14925649244023450592*c_1001_0^8 + 8171515898516292537/932853077751465662*c_1001_0^7 + 122210185805746866461/14925649244023450592*c_1001_0^6 + 63898317343671706197/14925649244023450592*c_1001_0^5 + 6516937131960363213/7462824622011725296*c_1001_0^4 + 1247026858446057119/3731412311005862648*c_1001_0^3 - 581153805195129981/1865706155502931324*c_1001_0^2 - 131038244965617879/466426538875732831*c_1001_0 - 424166725949569646/466426538875732831, c_0101_3 + 105362340995355366563/149256492440234505920*c_1001_0^11 + 420067335585140547263/149256492440234505920*c_1001_0^10 + 754120866588120236891/149256492440234505920*c_1001_0^9 + 97817873330955553861/18657061555029313240*c_1001_0^8 + 644195312998757571401/149256492440234505920*c_1001_0^7 + 414102450586999333017/149256492440234505920*c_1001_0^6 + 25036114302403621723/74628246220117252960*c_1001_0^5 + 8636610233792147619/18657061555029313240*c_1001_0^4 + 185184062906162581/18657061555029313240*c_1001_0^3 - 242791536716764489/1865706155502931324*c_1001_0^2 + 72056965598068883/466426538875732831*c_1001_0 - 1022952180081708334/2332132694378664155, c_1001_0^12 + 897/241*c_1001_0^11 + 1333/241*c_1001_0^10 + 868/241*c_1001_0^9 + 403/241*c_1001_0^8 + 391/241*c_1001_0^7 - 154/241*c_1001_0^6 - 144/241*c_1001_0^5 - 120/241*c_1001_0^4 - 64/241*c_1001_0^3 - 192/241*c_1001_0 + 128/241 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB