Magma V2.19-8 Wed Aug 21 2013 01:04:02 on localhost [Seed = 1848145465] Type ? for help. Type -D to quit. Loading file "L14n23977__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23977 geometric_solution 12.25465883 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 -1 0 1 -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 2 1 -3 2 0 0 -2 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799862716795 1.417660506411 0 3 6 5 0132 3120 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 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 -2 0 0 2 -1 3 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625705651301 0.511609647780 5 0 7 5 3120 0132 0132 0321 1 1 1 1 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 -2 2 0 -2 0 0 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 0.759041120422 0.913452602324 8 1 9 0 0132 3120 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149484178506 0.784646025518 8 10 0 7 1230 0132 0132 3012 1 1 1 1 0 1 -1 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 -3 3 0 0 0 2 -2 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034396823811 0.840137597583 8 2 1 2 2103 0321 0132 3120 1 1 1 1 0 0 0 0 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 0 0 0 0 0 -2 2 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269994994970 1.023525803246 10 7 9 1 3120 3120 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203242905261 0.862806721156 9 6 4 2 1302 3120 1230 0132 1 1 1 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613051352134 0.563211728544 3 4 5 10 0132 3012 2103 2310 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874382557483 0.618641558149 11 7 6 3 0132 2031 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620369760094 0.997294705687 8 4 12 6 3201 0132 0132 3120 1 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918078586793 0.755149626233 9 12 12 12 0132 3120 3201 3012 0 1 1 1 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 -3 2 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578200144320 0.656726823100 11 11 11 10 2310 3120 1230 0132 1 1 1 0 0 0 1 -1 0 0 0 0 -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 -3 3 0 0 0 0 3 0 0 -3 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244780603228 0.857787463490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0101_1']), '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_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_6']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0011_10'], 's_2_9' : d['1']})} 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_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 953860334148620713/528768647592479437*c_1001_6^4 + 3678681314130186846/528768647592479437*c_1001_6^3 - 18787541747744399720/528768647592479437*c_1001_6^2 - 60925326052303122612/528768647592479437*c_1001_6 + 188182725379850968786/528768647592479437, c_0011_0 - 1, c_0011_10 + 1/30829*c_1001_6^4 + 167/30829*c_1001_6^3 - 3464/30829*c_1001_6^2 - 13221/30829*c_1001_6 + 20867/30829, c_0011_11 + 196/30829*c_1001_6^4 + 1903/30829*c_1001_6^3 - 706/30829*c_1001_6^2 - 32509/30829*c_1001_6 - 10325/30829, c_0011_12 + 1, c_0011_3 - 1151/30829*c_1001_6^4 - 7243/30829*c_1001_6^3 + 10123/30829*c_1001_6^2 + 80332/30829*c_1001_6 - 94613/30829, c_0011_6 - 195/30829*c_1001_6^4 - 1736/30829*c_1001_6^3 - 2758/30829*c_1001_6^2 + 19288/30829*c_1001_6 + 31192/30829, c_0011_7 - 1518/30829*c_1001_6^4 - 6874/30829*c_1001_6^3 + 17422/30829*c_1001_6^2 + 123115/30829*c_1001_6 - 168868/30829, c_0101_0 - 572/30829*c_1001_6^4 - 3037/30829*c_1001_6^3 + 8352/30829*c_1001_6^2 + 40136/30829*c_1001_6 - 35930/30829, c_0101_1 - 954/30829*c_1001_6^4 - 5173/30829*c_1001_6^3 + 5953/30829*c_1001_6^2 + 34602/30829*c_1001_6 - 53242/30829, c_0101_10 + 953/30829*c_1001_6^4 + 5006/30829*c_1001_6^3 - 2489/30829*c_1001_6^2 - 21381/30829*c_1001_6 + 32375/30829, c_0101_2 - 392/30829*c_1001_6^4 - 3806/30829*c_1001_6^3 + 1412/30829*c_1001_6^2 + 34189/30829*c_1001_6 - 41008/30829, c_0101_6 + 1149/30829*c_1001_6^4 + 6909/30829*c_1001_6^3 - 3195/30829*c_1001_6^2 - 53890/30829*c_1001_6 + 22050/30829, c_1001_6^5 + 3*c_1001_6^4 - 23*c_1001_6^3 - 47*c_1001_6^2 + 252*c_1001_6 - 169 ], 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_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 7272166/158711*c_1001_6^5 + 6480471/158711*c_1001_6^4 - 6916022/158711*c_1001_6^3 + 14013740/158711*c_1001_6^2 - 2285630/158711*c_1001_6 + 5916314/158711, c_0011_0 - 1, c_0011_10 - 2*c_1001_6^5 + 3*c_1001_6^4 - c_1001_6^3 + 2*c_1001_6^2 - c_1001_6 - 1, c_0011_11 - 2*c_1001_6^4 + c_1001_6^3 + c_1001_6 + 1, c_0011_12 + 1, c_0011_3 - 2*c_1001_6^5 + 3*c_1001_6^4 - 3*c_1001_6^3 + 5*c_1001_6^2 - 2*c_1001_6 + 1, c_0011_6 - 2*c_1001_6^5 + c_1001_6^4 + 2*c_1001_6^2, c_0011_7 - c_1001_6, c_0101_0 - 4*c_1001_6^5 + 8*c_1001_6^4 - 7*c_1001_6^3 + 8*c_1001_6^2 - 6*c_1001_6 + 2, c_0101_1 - 2*c_1001_6^4 + 3*c_1001_6^3 - 3*c_1001_6^2 + 4*c_1001_6 - 2, c_0101_10 - 2*c_1001_6^5 + c_1001_6^4 + 2*c_1001_6^3 - c_1001_6^2 + 3*c_1001_6 - 3, c_0101_2 + c_1001_6, c_0101_6 - 2*c_1001_6^5 - c_1001_6^4 + 3*c_1001_6^3 - c_1001_6^2 + 4*c_1001_6 - 2, c_1001_6^6 - 3/2*c_1001_6^5 + 3/2*c_1001_6^4 - 5/2*c_1001_6^3 + 3/2*c_1001_6^2 - c_1001_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.900 Total time: 1.110 seconds, Total memory usage: 32.09MB