Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 2345277354] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s162 geometric_solution 4.25186484 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -1 0 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 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 -0.325741528882 0.190342713955 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 0 1 0 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 -1 1 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 1.549448745969 1.231149398472 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.729358278524 0.299548905424 2 4 4 5 0132 1302 3201 0132 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 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 0.411597269813 0.585314451399 3 5 2 3 2310 1023 0132 2031 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.411597269813 0.585314451399 4 5 3 5 1023 2310 0132 3201 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 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 -0.803892565390 1.143180410571 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_0'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 6351025016/242018131*c_0101_3^14 + 35947005318/242018131*c_0101_3^13 - 78078785595/242018131*c_0101_3^12 - 281310018196/242018131*c_0101_3^11 + 616009842049/242018131*c_0101_3^10 + 679551941449/242018131*c_0101_3^9 - 2078741341211/242018131*c_0101_3^8 - 176872983048/242018131*c_0101_3^7 + 3012341966953/242018131*c_0101_3^6 - 1069914315786/242018131*c_0101_3^5 - 1685762808041/242018131*c_0101_3^4 + 816111365383/242018131*c_0101_3^3 + 369874447061/242018131*c_0101_3^2 - 121611721194/242018131*c_0101_3 - 50436084323/242018131, c_0011_0 - 1, c_0011_2 + 2012851164/242018131*c_0101_3^14 + 13572862799/242018131*c_0101_3^13 - 10034769912/242018131*c_0101_3^12 - 100002988911/242018131*c_0101_3^11 + 86639334392/242018131*c_0101_3^10 + 309657970780/242018131*c_0101_3^9 - 320792479003/242018131*c_0101_3^8 - 408924726501/242018131*c_0101_3^7 + 505475878114/242018131*c_0101_3^6 + 228868877118/242018131*c_0101_3^5 - 284834696538/242018131*c_0101_3^4 - 79729626833/242018131*c_0101_3^3 + 40929094660/242018131*c_0101_3^2 + 22295351216/242018131*c_0101_3 + 2582600638/242018131, c_0011_4 - 378675369/242018131*c_0101_3^14 - 2611339374/242018131*c_0101_3^13 + 1470522933/242018131*c_0101_3^12 + 18911713937/242018131*c_0101_3^11 - 13361156517/242018131*c_0101_3^10 - 59455843317/242018131*c_0101_3^9 + 50779748141/242018131*c_0101_3^8 + 82256100297/242018131*c_0101_3^7 - 80921550056/242018131*c_0101_3^6 - 52505881439/242018131*c_0101_3^5 + 43704134517/242018131*c_0101_3^4 + 20003037778/242018131*c_0101_3^3 - 4764837190/242018131*c_0101_3^2 - 4291201787/242018131*c_0101_3 - 706678618/242018131, c_0101_0 - 3093411530/242018131*c_0101_3^14 - 20837756977/242018131*c_0101_3^13 + 15520361683/242018131*c_0101_3^12 + 153247316506/242018131*c_0101_3^11 - 134151323556/242018131*c_0101_3^10 - 472599474751/242018131*c_0101_3^9 + 495566190178/242018131*c_0101_3^8 + 617357047585/242018131*c_0101_3^7 - 777818006171/242018131*c_0101_3^6 - 335079586181/242018131*c_0101_3^5 + 434425191162/242018131*c_0101_3^4 + 111827524495/242018131*c_0101_3^3 - 61317716881/242018131*c_0101_3^2 - 32017057222/242018131*c_0101_3 - 3656704636/242018131, c_0101_1 - 1735248826/242018131*c_0101_3^14 - 11807454622/242018131*c_0101_3^13 + 7861264395/242018131*c_0101_3^12 + 86190063428/242018131*c_0101_3^11 - 69562715655/242018131*c_0101_3^10 - 268005624128/242018131*c_0101_3^9 + 260429857161/242018131*c_0101_3^8 + 357857313439/242018131*c_0101_3^7 - 413132587090/242018131*c_0101_3^6 - 206310239416/242018131*c_0101_3^5 + 229846418332/242018131*c_0101_3^4 + 70324383684/242018131*c_0101_3^3 - 30606988876/242018131*c_0101_3^2 - 17860090309/242018131*c_0101_3 - 2355942326/242018131, c_0101_3^15 + 6*c_0101_3^14 - 10*c_0101_3^13 - 46*c_0101_3^12 + 80*c_0101_3^11 + 122*c_0101_3^10 - 274*c_0101_3^9 - 85*c_0101_3^8 + 403*c_0101_3^7 - 73*c_0101_3^6 - 227*c_0101_3^5 + 66*c_0101_3^4 + 50*c_0101_3^3 - 4*c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB