Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 458917684] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s228 geometric_solution 4.38197091 oriented_manifold CS_known 0.0000000000000000 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 0 0 0 0 0 0 0 0 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 -0.209747408687 0.140113843691 0 0 2 2 0132 2310 2310 0132 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 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 2.480897603891 2.107679977896 3 1 1 4 0132 3201 0132 0132 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 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 0.324934243012 0.536983700395 2 4 4 5 0132 2310 3201 0132 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 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 -0.168549755019 0.866826732451 3 5 2 3 2310 0132 0132 3201 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 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 -0.168549755019 0.866826732451 5 4 3 5 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.216145515391 1.111604765127 ==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' : negation(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' : d['c_0101_3'], '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_0101_0']), 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], '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: 16 Groebner basis: [ t + 24125028307387/2086537013809*c_0101_3^15 + 20788633817079/2086537013809*c_0101_3^14 - 68768310158318/2086537013809*c_0101_3^13 - 344809795166096/2086537013809*c_0101_3^12 - 41315122330744/2086537013809*c_0101_3^11 + 2006383799091676/2086537013809*c_0101_3^10 + 92785846856357/2086537013809*c_0101_3^9 - 4304229017864822/2086537013809*c_0101_3^8 + 13287475691216/2086537013809*c_0101_3^7 + 5281210375059019/2086537013809*c_0101_3^6 - 2700215074983917/2086537013809*c_0101_3^5 - 1066780550996837/2086537013809*c_0101_3^4 + 1719855377885917/2086537013809*c_0101_3^3 - 711130871868045/2086537013809*c_0101_3^2 + 92383444927634/2086537013809*c_0101_3 - 44335854406954/2086537013809, c_0011_0 - 1, c_0011_2 + 2708495478304/2086537013809*c_0101_3^15 + 4973243981371/2086537013809*c_0101_3^14 - 3911940755868/2086537013809*c_0101_3^13 - 43839788888926/2086537013809*c_0101_3^12 - 44899749820182/2086537013809*c_0101_3^11 + 197315892308682/2086537013809*c_0101_3^10 + 210725467201316/2086537013809*c_0101_3^9 - 361373980849217/2086537013809*c_0101_3^8 - 387973934890107/2086537013809*c_0101_3^7 + 388361102669865/2086537013809*c_0101_3^6 + 142237843670271/2086537013809*c_0101_3^5 - 189792154260941/2086537013809*c_0101_3^4 + 45624521029197/2086537013809*c_0101_3^3 + 35593636696753/2086537013809*c_0101_3^2 - 11400733066818/2086537013809*c_0101_3 - 4084203637645/2086537013809, c_0011_4 + 4201577953292/2086537013809*c_0101_3^15 + 8283916899133/2086537013809*c_0101_3^14 - 5157241163804/2086537013809*c_0101_3^13 - 68999922434408/2086537013809*c_0101_3^12 - 78496583302423/2086537013809*c_0101_3^11 + 298819616771873/2086537013809*c_0101_3^10 + 369452186827638/2086537013809*c_0101_3^9 - 527799344262772/2086537013809*c_0101_3^8 - 684005020714667/2086537013809*c_0101_3^7 + 545719180266190/2086537013809*c_0101_3^6 + 316126806231499/2086537013809*c_0101_3^5 - 292327525082999/2086537013809*c_0101_3^4 + 27925131722790/2086537013809*c_0101_3^3 + 73439214028922/2086537013809*c_0101_3^2 - 14468344397384/2086537013809*c_0101_3 - 7463329386502/2086537013809, c_0101_0 + 756210296329/2086537013809*c_0101_3^15 + 779168487727/2086537013809*c_0101_3^14 - 1986499738890/2086537013809*c_0101_3^13 - 10952464202828/2086537013809*c_0101_3^12 - 2908214615013/2086537013809*c_0101_3^11 + 61807747728770/2086537013809*c_0101_3^10 + 10869730184910/2086537013809*c_0101_3^9 - 133296078916318/2086537013809*c_0101_3^8 - 12493260542034/2086537013809*c_0101_3^7 + 170074012422819/2086537013809*c_0101_3^6 - 69527651920729/2086537013809*c_0101_3^5 - 55595233957766/2086537013809*c_0101_3^4 + 53455215837798/2086537013809*c_0101_3^3 - 14448372700096/2086537013809*c_0101_3^2 - 4186986084464/2086537013809*c_0101_3 + 1703427878998/2086537013809, c_0101_1 - 530756261085/2086537013809*c_0101_3^15 - 1140900393887/2086537013809*c_0101_3^14 + 366789015167/2086537013809*c_0101_3^13 + 8542644387910/2086537013809*c_0101_3^12 + 11355701821844/2086537013809*c_0101_3^11 - 34384458353993/2086537013809*c_0101_3^10 - 50036784042172/2086537013809*c_0101_3^9 + 53909600788518/2086537013809*c_0101_3^8 + 84476952719676/2086537013809*c_0101_3^7 - 51516260598652/2086537013809*c_0101_3^6 - 31281818519958/2086537013809*c_0101_3^5 + 32737991367667/2086537013809*c_0101_3^4 - 4878575710303/2086537013809*c_0101_3^3 - 6130348455376/2086537013809*c_0101_3^2 + 730134612959/2086537013809*c_0101_3 - 1205984191096/2086537013809, c_0101_3^16 + c_0101_3^15 - 3*c_0101_3^14 - 15*c_0101_3^13 - 3*c_0101_3^12 + 87*c_0101_3^11 + 17*c_0101_3^10 - 200*c_0101_3^9 - 32*c_0101_3^8 + 266*c_0101_3^7 - 67*c_0101_3^6 - 117*c_0101_3^5 + 77*c_0101_3^4 - c_0101_3^3 - 15*c_0101_3^2 + 2*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB