Magma V2.19-8 Wed Aug 21 2013 01:11:32 on localhost [Seed = 88283961] Type ? for help. Type -D to quit. Loading file "L14n57222__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57222 geometric_solution 12.22891805 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 2 0 1 -1 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 -5 4 1 5 0 0 -5 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987558566709 1.076545382484 0 5 7 6 0132 0132 0132 0132 0 2 2 2 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 -5 0 5 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 0.329044965831 0.940761038421 8 0 7 6 0132 0132 1023 1023 2 0 2 2 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 0 0 0 0 0 5 -5 0 -1 0 0 1 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329044965831 0.940761038421 9 4 5 0 0132 2031 2103 0132 2 2 2 2 0 -1 0 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 4 0 -4 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473056072951 1.065590094280 3 10 0 8 1302 0132 0132 0321 2 2 2 2 0 0 0 0 0 0 -1 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 -1 1 0 0 5 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473056072951 1.065590094280 3 1 7 8 2103 0132 0213 1302 0 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664522482916 0.470380519211 11 8 1 2 0132 1302 0132 1023 0 2 2 2 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 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 -0.331263796929 0.947104821383 12 5 2 1 0132 0213 1023 0132 0 2 2 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331263796929 0.947104821383 2 4 5 6 0132 0321 2031 2031 2 0 2 2 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 -1 0 1 1 0 0 -1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664522482916 0.470380519211 3 12 11 12 0132 0213 0132 0321 1 2 2 2 0 -1 0 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 -2 1 1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654879449358 0.743619018970 11 4 11 12 2031 0132 3012 1023 2 1 2 2 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 -1 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654879449358 0.743619018970 6 10 10 9 0132 1230 1302 0132 1 2 2 2 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 -1 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333005488150 0.757375735406 7 9 9 10 0132 0321 0213 1023 1 2 2 2 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 2 -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 0.333005488150 0.757375735406 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_8']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_0101_8, c_0110_10, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 27409413/688976*c_1100_1^7 - 17040907/688976*c_1100_1^6 - 6720303/81056*c_1100_1^5 - 22593313/1377952*c_1100_1^4 - 34786711/2755904*c_1100_1^3 - 24398015/688976*c_1100_1^2 + 68681651/344488*c_1100_1 + 75937959/344488, c_0011_0 - 1, c_0011_10 - 259/1490*c_1100_1^7 + 64/745*c_1100_1^6 + 871/2980*c_1100_1^5 - 13/298*c_1100_1^4 + 1627/5960*c_1100_1^3 + 1747/5960*c_1100_1^2 - 228/745*c_1100_1 - 529/1490, c_0011_11 + 156/745*c_1100_1^7 - 19/1490*c_1100_1^6 - 539/1490*c_1100_1^5 - 59/596*c_1100_1^4 - 793/2980*c_1100_1^3 + 1609/5960*c_1100_1^2 - 36/745*c_1100_1 + 387/1490, c_0011_12 + 156/745*c_1100_1^7 - 19/1490*c_1100_1^6 - 539/1490*c_1100_1^5 - 59/596*c_1100_1^4 - 793/2980*c_1100_1^3 + 1609/5960*c_1100_1^2 - 36/745*c_1100_1 + 387/1490, c_0011_3 - 259/1490*c_1100_1^7 + 64/745*c_1100_1^6 + 871/2980*c_1100_1^5 - 13/298*c_1100_1^4 + 1627/5960*c_1100_1^3 + 1747/5960*c_1100_1^2 - 228/745*c_1100_1 - 529/1490, c_0101_0 - 917/2980*c_1100_1^7 + 1319/2980*c_1100_1^6 - 17/5960*c_1100_1^5 + 65/1192*c_1100_1^4 - 1609/11920*c_1100_1^3 + 486/745*c_1100_1^2 - 1393/2980*c_1100_1 + 312/745, c_0101_10 - 1, c_0101_2 - 10/149*c_1100_1^7 + 91/298*c_1100_1^6 + 25/298*c_1100_1^5 - 281/596*c_1100_1^4 + 175/596*c_1100_1^3 - 21/1192*c_1100_1^2 - 204/149*c_1100_1 + 107/298, c_0101_7 + 917/2980*c_1100_1^7 - 1319/2980*c_1100_1^6 + 17/5960*c_1100_1^5 - 65/1192*c_1100_1^4 + 1609/11920*c_1100_1^3 - 486/745*c_1100_1^2 + 1393/2980*c_1100_1 - 312/745, c_0101_8 - 1, c_0110_10 + 585/1192*c_1100_1^7 - 1209/1192*c_1100_1^6 + 1145/2384*c_1100_1^5 - 311/2384*c_1100_1^4 - 1223/4768*c_1100_1^3 - 1127/2384*c_1100_1^2 + 3441/1192*c_1100_1 - 1211/596, c_0110_5 - 67/1490*c_1100_1^7 + 59/1490*c_1100_1^6 + 93/2980*c_1100_1^5 - 303/596*c_1100_1^4 + 2141/5960*c_1100_1^3 + 1913/2980*c_1100_1^2 - 443/1490*c_1100_1 - 346/745, c_1100_1^8 - 3*c_1100_1^7 + 5/2*c_1100_1^6 - 1/2*c_1100_1^5 - 3/4*c_1100_1^4 + 6*c_1100_1^2 - 8*c_1100_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB