Magma V2.19-8 Tue Aug 20 2013 16:15:48 on localhost [Seed = 3532869369] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0028 geometric_solution 3.59566042 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 3.219592820293 0.288875846907 0 1 1 0 0132 3201 2310 3201 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 -0.555640776422 0.024877283478 0 3 3 0 3201 0132 3201 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 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 -1.032899242384 0.567207110574 2 2 4 4 2310 0132 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 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 0.135870955509 0.176552295394 5 3 6 3 0132 2310 0132 0132 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955655878138 1.949040875744 4 6 6 6 0132 3201 2310 1230 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 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 0.001528822178 0.976012587562 5 5 5 4 3012 3201 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001528822178 0.976012587562 ==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_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_4']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), '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_6' : d['c_0011_6'], '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_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), '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_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 818937/5389*c_0101_3^11 - 2871033/5389*c_0101_3^10 - 13230922/5389*c_0101_3^9 + 21223459/5389*c_0101_3^8 + 39956931/5389*c_0101_3^7 - 44016262/5389*c_0101_3^6 - 2683267/317*c_0101_3^5 + 36275934/5389*c_0101_3^4 + 27246557/5389*c_0101_3^3 - 10574019/5389*c_0101_3^2 - 6102958/5389*c_0101_3 + 853684/5389, c_0011_0 - 1, c_0011_2 + 7895/5389*c_0101_3^11 - 28448/5389*c_0101_3^10 - 126851/5389*c_0101_3^9 + 224770/5389*c_0101_3^8 + 393646/5389*c_0101_3^7 - 520532/5389*c_0101_3^6 - 458216/5389*c_0101_3^5 + 499945/5389*c_0101_3^4 + 262047/5389*c_0101_3^3 - 193134/5389*c_0101_3^2 - 3557/317*c_0101_3 + 22144/5389, c_0011_4 - 524/5389*c_0101_3^11 + 2024/5389*c_0101_3^10 + 5893/5389*c_0101_3^9 - 532/317*c_0101_3^8 + 6061/5389*c_0101_3^7 - 20539/5389*c_0101_3^6 - 36007/5389*c_0101_3^5 + 66121/5389*c_0101_3^4 + 19959/5389*c_0101_3^3 - 40913/5389*c_0101_3^2 - 6626/5389*c_0101_3 + 5135/5389, c_0011_6 + 2483/5389*c_0101_3^11 - 9661/5389*c_0101_3^10 - 36450/5389*c_0101_3^9 + 78086/5389*c_0101_3^8 + 93099/5389*c_0101_3^7 - 161575/5389*c_0101_3^6 - 80267/5389*c_0101_3^5 + 119002/5389*c_0101_3^4 + 30847/5389*c_0101_3^3 - 26993/5389*c_0101_3^2 - 1891/5389*c_0101_3 - 39/5389, c_0101_0 + 7009/5389*c_0101_3^11 - 25033/5389*c_0101_3^10 - 111683/5389*c_0101_3^9 + 188965/5389*c_0101_3^8 + 332084/5389*c_0101_3^7 - 23233/317*c_0101_3^6 - 376367/5389*c_0101_3^5 + 320445/5389*c_0101_3^4 + 232069/5389*c_0101_3^3 - 93896/5389*c_0101_3^2 - 55883/5389*c_0101_3 + 7556/5389, c_0101_1 + 10000/5389*c_0101_3^11 - 34413/5389*c_0101_3^10 - 164007/5389*c_0101_3^9 + 249941/5389*c_0101_3^8 + 505669/5389*c_0101_3^7 - 519903/5389*c_0101_3^6 - 586414/5389*c_0101_3^5 + 441944/5389*c_0101_3^4 + 337638/5389*c_0101_3^3 - 131183/5389*c_0101_3^2 - 64040/5389*c_0101_3 + 12269/5389, c_0101_3^12 - 3*c_0101_3^11 - 18*c_0101_3^10 + 18*c_0101_3^9 + 63*c_0101_3^8 - 31*c_0101_3^7 - 86*c_0101_3^6 + 20*c_0101_3^5 + 59*c_0101_3^4 + c_0101_3^3 - 16*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