Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 1444399747] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1384 geometric_solution 5.23807202 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 -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 0.544275677352 0.083625551240 2 0 2 0 0132 2310 1023 0132 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 0 0 0 0 0 0 -1 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 0.660792979673 0.192157713087 1 3 1 4 0132 0132 1023 0132 0 0 0 0 0 1 -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 -1 1 0 -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 0.505765787798 1.410902218464 5 2 5 6 0132 0132 1023 0132 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 0.871054626423 1.613153468877 6 5 2 5 1023 2310 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 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 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871054626423 1.613153468877 3 4 3 4 0132 2310 1023 3201 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 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 0.291206841231 0.416106338789 6 4 3 6 3012 1023 0132 1230 0 0 0 0 0 1 0 -1 1 0 0 -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 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 0.484817280148 0.579474032909 ==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' : 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' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_5'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8416603/120*c_0101_5^10 + 15380426/15*c_0101_5^9 - 466552771/120*c_0101_5^8 + 224293349/20*c_0101_5^7 - 780281917/40*c_0101_5^6 + 379936759/15*c_0101_5^5 - 92175655/4*c_0101_5^4 + 1800980047/120*c_0101_5^3 - 402283099/60*c_0101_5^2 + 69138407/40*c_0101_5 - 22154857/120, c_0011_0 - 1, c_0011_1 - 149*c_0101_5^10 + 4399/2*c_0101_5^9 - 17123/2*c_0101_5^8 + 24880*c_0101_5^7 - 44411*c_0101_5^6 + 117033/2*c_0101_5^5 - 109443/2*c_0101_5^4 + 73053/2*c_0101_5^3 - 16909*c_0101_5^2 + 4623*c_0101_5 - 1065/2, c_0011_4 - 617/4*c_0101_5^10 + 2246*c_0101_5^9 - 33693/4*c_0101_5^8 + 48453/2*c_0101_5^7 - 166693/4*c_0101_5^6 + 53795*c_0101_5^5 - 96697/2*c_0101_5^4 + 124665/4*c_0101_5^3 - 27393/2*c_0101_5^2 + 13751/4*c_0101_5 - 1423/4, c_0101_0 - 41/4*c_0101_5^10 + 305/2*c_0101_5^9 - 2427/4*c_0101_5^8 + 3565/2*c_0101_5^7 - 13041/4*c_0101_5^6 + 8793/2*c_0101_5^5 - 4244*c_0101_5^4 + 11831/4*c_0101_5^3 - 2883/2*c_0101_5^2 + 1751/4*c_0101_5 - 237/4, c_0101_1 - 1075/4*c_0101_5^10 + 7897/2*c_0101_5^9 - 60705/4*c_0101_5^8 + 87893/2*c_0101_5^7 - 309967/4*c_0101_5^6 + 202827/2*c_0101_5^5 - 93653*c_0101_5^4 + 247337/4*c_0101_5^3 - 56373/2*c_0101_5^2 + 30077/4*c_0101_5 - 3363/4, c_0101_3 + 403/2*c_0101_5^10 - 2936*c_0101_5^9 + 22063/2*c_0101_5^8 - 31741*c_0101_5^7 + 109399/2*c_0101_5^6 - 70667*c_0101_5^5 + 63636*c_0101_5^4 - 82169/2*c_0101_5^3 + 18105*c_0101_5^2 - 9133/2*c_0101_5 + 951/2, c_0101_5^11 - 15*c_0101_5^10 + 61*c_0101_5^9 - 181*c_0101_5^8 + 339*c_0101_5^7 - 467*c_0101_5^6 + 466*c_0101_5^5 - 339*c_0101_5^4 + 177*c_0101_5^3 - 61*c_0101_5^2 + 12*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 8416603/120*c_0101_5^10 - 15380426/15*c_0101_5^9 - 466552771/120*c_0101_5^8 - 224293349/20*c_0101_5^7 - 780281917/40*c_0101_5^6 - 379936759/15*c_0101_5^5 - 92175655/4*c_0101_5^4 - 1800980047/120*c_0101_5^3 - 402283099/60*c_0101_5^2 - 69138407/40*c_0101_5 - 22154857/120, c_0011_0 - 1, c_0011_1 - 149*c_0101_5^10 - 4399/2*c_0101_5^9 - 17123/2*c_0101_5^8 - 24880*c_0101_5^7 - 44411*c_0101_5^6 - 117033/2*c_0101_5^5 - 109443/2*c_0101_5^4 - 73053/2*c_0101_5^3 - 16909*c_0101_5^2 - 4623*c_0101_5 - 1065/2, c_0011_4 - 617/4*c_0101_5^10 - 2246*c_0101_5^9 - 33693/4*c_0101_5^8 - 48453/2*c_0101_5^7 - 166693/4*c_0101_5^6 - 53795*c_0101_5^5 - 96697/2*c_0101_5^4 - 124665/4*c_0101_5^3 - 27393/2*c_0101_5^2 - 13751/4*c_0101_5 - 1423/4, c_0101_0 + 41/4*c_0101_5^10 + 305/2*c_0101_5^9 + 2427/4*c_0101_5^8 + 3565/2*c_0101_5^7 + 13041/4*c_0101_5^6 + 8793/2*c_0101_5^5 + 4244*c_0101_5^4 + 11831/4*c_0101_5^3 + 2883/2*c_0101_5^2 + 1751/4*c_0101_5 + 237/4, c_0101_1 - 1075/4*c_0101_5^10 - 7897/2*c_0101_5^9 - 60705/4*c_0101_5^8 - 87893/2*c_0101_5^7 - 309967/4*c_0101_5^6 - 202827/2*c_0101_5^5 - 93653*c_0101_5^4 - 247337/4*c_0101_5^3 - 56373/2*c_0101_5^2 - 30077/4*c_0101_5 - 3363/4, c_0101_3 + 403/2*c_0101_5^10 + 2936*c_0101_5^9 + 22063/2*c_0101_5^8 + 31741*c_0101_5^7 + 109399/2*c_0101_5^6 + 70667*c_0101_5^5 + 63636*c_0101_5^4 + 82169/2*c_0101_5^3 + 18105*c_0101_5^2 + 9133/2*c_0101_5 + 951/2, c_0101_5^11 + 15*c_0101_5^10 + 61*c_0101_5^9 + 181*c_0101_5^8 + 339*c_0101_5^7 + 467*c_0101_5^6 + 466*c_0101_5^5 + 339*c_0101_5^4 + 177*c_0101_5^3 + 61*c_0101_5^2 + 12*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB