Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 678016020] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s031 geometric_solution 3.56808795 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 -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 1.529906620583 0.117974511746 0 2 2 0 3201 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.325485362359 0.226057645536 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 -1 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 0.779540504283 1.038756306096 2 4 5 5 0132 2310 2310 0132 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 0 -1 1 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 -0.195392151754 0.418955778326 5 5 2 3 3201 1023 0132 3201 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 1 0 -1 1 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 -0.195392151754 0.418955778326 4 3 3 4 1023 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 0 -1 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914320491984 1.960466937491 ==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' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_3'], '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' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 863459/1613682*c_0101_3^12 - 4447229/806841*c_0101_3^11 + 20584279/1613682*c_0101_3^10 - 52766153/1613682*c_0101_3^9 + 74824250/806841*c_0101_3^8 - 140542139/1613682*c_0101_3^7 + 440557367/1613682*c_0101_3^6 - 112269694/806841*c_0101_3^5 + 194235605/537894*c_0101_3^4 - 204392533/1613682*c_0101_3^3 + 109302143/537894*c_0101_3^2 - 1867640/38421*c_0101_3 + 58918609/1613682, c_0011_0 - 1, c_0011_1 + 46921/230526*c_0101_3^12 - 180709/115263*c_0101_3^11 + 218471/230526*c_0101_3^10 - 2543773/230526*c_0101_3^9 + 1364315/230526*c_0101_3^8 - 6628663/230526*c_0101_3^7 + 2525642/115263*c_0101_3^6 - 7771873/230526*c_0101_3^5 + 1324469/38421*c_0101_3^4 - 3952397/230526*c_0101_3^3 + 1543759/76842*c_0101_3^2 - 258695/76842*c_0101_3 + 210013/115263, c_0011_4 - 434413/691578*c_0101_3^12 + 1465591/345789*c_0101_3^11 + 960013/691578*c_0101_3^10 + 23146597/691578*c_0101_3^9 + 9577477/691578*c_0101_3^8 + 61523629/691578*c_0101_3^7 + 6821593/345789*c_0101_3^6 + 66905965/691578*c_0101_3^5 + 273208/115263*c_0101_3^4 + 27157541/691578*c_0101_3^3 - 1523839/230526*c_0101_3^2 + 976979/230526*c_0101_3 - 183316/345789, c_0101_0 + 78613/691578*c_0101_3^12 - 607691/691578*c_0101_3^11 + 385337/691578*c_0101_3^10 - 2135600/345789*c_0101_3^9 + 1117198/345789*c_0101_3^8 - 5557106/345789*c_0101_3^7 + 7922197/691578*c_0101_3^6 - 13005817/691578*c_0101_3^5 + 3961267/230526*c_0101_3^4 - 6582815/691578*c_0101_3^3 + 1274108/115263*c_0101_3^2 - 210139/115263*c_0101_3 + 1350317/691578, c_0101_2 - 41635/691578*c_0101_3^12 + 178141/345789*c_0101_3^11 - 487547/691578*c_0101_3^10 + 2582389/691578*c_0101_3^9 - 3152411/691578*c_0101_3^8 + 6901135/691578*c_0101_3^7 - 5017997/345789*c_0101_3^6 + 8291035/691578*c_0101_3^5 - 2107499/115263*c_0101_3^4 + 4372439/691578*c_0101_3^3 - 1490431/230526*c_0101_3^2 + 307415/230526*c_0101_3 + 65876/345789, c_0101_3^13 - 7*c_0101_3^12 - 56*c_0101_3^10 - 11*c_0101_3^9 - 161*c_0101_3^8 - 12*c_0101_3^7 - 204*c_0101_3^6 + 11*c_0101_3^5 - 110*c_0101_3^4 + 16*c_0101_3^3 - 21*c_0101_3^2 + 2*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB