Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 290491891] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0580 geometric_solution 4.60014880 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 0 1 -1 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 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 0.360184157429 0.611513766374 0 3 0 2 0132 3012 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816806968315 0.780675738800 4 0 1 4 0132 0132 1230 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714193403437 0.252860348995 1 5 5 0 1230 0132 1023 0132 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 -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 -0.201921089039 0.703767656325 2 6 6 2 0132 0132 1023 1023 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 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 1.170709568654 0.403255837016 5 3 3 5 3201 0132 1023 2310 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 0 1.863276544923 0.481505331723 6 4 4 6 3012 0132 1023 1230 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 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.543171399158 0.242115009691 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : 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_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_0011_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 120245/2016*c_0101_6^22 + 9691/252*c_0101_6^21 + 238633/252*c_0101_6^20 - 632959/2016*c_0101_6^19 - 6699859/1008*c_0101_6^18 + 32377/1008*c_0101_6^17 + 17911211/672*c_0101_6^16 + 2883863/336*c_0101_6^15 - 18766631/288*c_0101_6^14 - 86319769/2016*c_0101_6^13 + 10522629/112*c_0101_6^12 + 50621359/504*c_0101_6^11 - 448300/7*c_0101_6^10 - 3038341/24*c_0101_6^9 - 2942665/288*c_0101_6^8 + 52947413/672*c_0101_6^7 + 2472153/56*c_0101_6^6 - 13972067/1008*c_0101_6^5 - 3507479/168*c_0101_6^4 - 4749631/1008*c_0101_6^3 + 213889/126*c_0101_6^2 + 1689649/2016*c_0101_6 - 125369/2016, c_0011_0 - 1, c_0011_3 - c_0101_6^7 + 5*c_0101_6^5 + c_0101_6^4 - 7*c_0101_6^3 - 3*c_0101_6^2 + 2*c_0101_6 + 1, c_0101_1 + c_0101_6^4 - 3*c_0101_6^2 + 1, c_0101_2 + c_0101_6^3 - 2*c_0101_6, c_0101_4 - c_0101_6^2 + 1, c_0101_5 - c_0101_6^14 + 10*c_0101_6^12 + 2*c_0101_6^11 - 39*c_0101_6^10 - 16*c_0101_6^9 + 73*c_0101_6^8 + 46*c_0101_6^7 - 62*c_0101_6^6 - 56*c_0101_6^5 + 13*c_0101_6^4 + 26*c_0101_6^3 + 6*c_0101_6^2 - 4*c_0101_6 - 1, c_0101_6^23 - c_0101_6^22 - 16*c_0101_6^21 + 11*c_0101_6^20 + 115*c_0101_6^19 - 40*c_0101_6^18 - 483*c_0101_6^17 + 3*c_0101_6^16 + 1279*c_0101_6^15 + 416*c_0101_6^14 - 2127*c_0101_6^13 - 1418*c_0101_6^12 + 2028*c_0101_6^11 + 2292*c_0101_6^10 - 721*c_0101_6^9 - 1950*c_0101_6^8 - 441*c_0101_6^7 + 770*c_0101_6^6 + 486*c_0101_6^5 - 62*c_0101_6^4 - 134*c_0101_6^3 - 29*c_0101_6^2 + 10*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB