Magma V2.19-8 Wed Aug 21 2013 01:01:51 on localhost [Seed = 627261174] Type ? for help. Type -D to quit. Loading file "L14n13391__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13391 geometric_solution 12.07039665 oriented_manifold CS_known 0.0000000000000001 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 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 1 0 -1 0 0 0 0 7 1 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415835132716 0.486011133634 0 4 6 5 0132 2103 0132 0132 0 1 1 1 0 1 -1 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 -2 1 1 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647128479138 0.835332655997 7 0 7 8 0132 0132 3012 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 -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 0.545304223275 0.785290754928 3 3 8 0 1302 2031 2310 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 0.288546818452 0.936372059716 9 1 0 10 0132 2103 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -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 -2 2 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238853894493 1.385851161342 8 11 1 9 3012 0132 0132 3012 0 1 1 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 0 0 0 0 0 -1 -1 2 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 0.912668592060 0.837520681471 9 11 12 1 3120 0213 0132 0132 0 1 1 1 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 1 0 -1 0 0 0 0 0 7 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063618627151 0.761340299775 2 2 12 11 0132 1230 1302 3120 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552197365400 0.953682677829 10 3 2 5 3201 3201 0132 1230 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 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 0.239530019316 1.775934974912 4 12 5 6 0132 1230 1230 3120 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 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 8 -8 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642920755131 0.522737310497 12 11 4 8 1230 2310 0132 2310 1 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 0 0 0 0 -1 1 0 0 0 0 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162400401992 0.611972484083 7 5 6 10 3120 0132 0213 3201 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 1 -1 0 0 0 -7 7 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.260025464382 0.731986289866 7 10 9 6 2031 3012 3012 0132 0 1 1 1 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 -1 0 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.108994537369 1.304365363897 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0011_3'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0011_6'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_9']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_0'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_9']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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_0011_11']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0011_6' : d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_12']), '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_0011_3']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_6'])})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_10, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 723074411378905/141669883090944*c_1001_9^18 - 357499284345721/10897683314688*c_1001_9^17 - 17464239991216535/141669883090944*c_1001_9^16 - 6721367982677107/17708735386368*c_1001_9^15 - 133600661850091535/141669883090944*c_1001_9^14 - 44904651616977713/23611647181824*c_1001_9^13 - 77526717816276983/23611647181824*c_1001_9^12 - 54319202206691167/11805823590912*c_1001_9^11 - 24208242408200691/5247032707072*c_1001_9^10 - 9235773791890637/4427183846592*c_1001_9^9 + 171376220555190103/35417470772736*c_1001_9^8 + 302321012042771425/17708735386368*c_1001_9^7 + 46540206592123325/1475727948864*c_1001_9^6 + 15471902766983923/340552603584*c_1001_9^5 + 29897096227419059/553397980824*c_1001_9^4 + 280775257429711/5561788752*c_1001_9^3 + 199186282142883/5124055378*c_1001_9^2 + 546711155879846/23058249201*c_1001_9 + 1025250479986183/138349495206, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 15/1024*c_1001_9^18 - 55/1024*c_1001_9^17 - 161/1024*c_1001_9^16 - 53/128*c_1001_9^15 - 709/1024*c_1001_9^14 - 447/512*c_1001_9^13 - 393/512*c_1001_9^12 + 275/256*c_1001_9^11 + 4369/1024*c_1001_9^10 + 2083/256*c_1001_9^9 + 1785/128*c_1001_9^8 + 109/8*c_1001_9^7 + 177/32*c_1001_9^6 - 133/32*c_1001_9^5 - 449/16*c_1001_9^4 - 45*c_1001_9^3 - 43*c_1001_9^2 - 87/2*c_1001_9 - 23, c_0011_12 + 9/256*c_1001_9^18 + 55/512*c_1001_9^17 + 137/512*c_1001_9^16 + 401/512*c_1001_9^15 + 79/64*c_1001_9^14 + 771/512*c_1001_9^13 + 65/32*c_1001_9^12 - 335/256*c_1001_9^11 - 1855/256*c_1001_9^10 - 6347/512*c_1001_9^9 - 7203/256*c_1001_9^8 - 2053/64*c_1001_9^7 - 483/32*c_1001_9^6 - 337/32*c_1001_9^5 + 85/2*c_1001_9^4 + 201/2*c_1001_9^3 + 347/4*c_1001_9^2 + 116*c_1001_9 + 85, c_0011_3 - 9/512*c_1001_9^18 - 35/512*c_1001_9^17 - 93/512*c_1001_9^16 - 119/256*c_1001_9^15 - 395/512*c_1001_9^14 - 111/128*c_1001_9^13 - 179/256*c_1001_9^12 + 165/128*c_1001_9^11 + 2599/512*c_1001_9^10 + 2253/256*c_1001_9^9 + 1879/128*c_1001_9^8 + 1931/128*c_1001_9^7 + 301/64*c_1001_9^6 - 21/4*c_1001_9^5 - 115/4*c_1001_9^4 - 103/2*c_1001_9^3 - 185/4*c_1001_9^2 - 47*c_1001_9 - 30, c_0011_6 - 21/1024*c_1001_9^18 - 119/1024*c_1001_9^17 - 385/1024*c_1001_9^16 - 493/512*c_1001_9^15 - 1899/1024*c_1001_9^14 - 323/128*c_1001_9^13 - 1007/512*c_1001_9^12 + 15/8*c_1001_9^11 + 10859/1024*c_1001_9^10 + 11717/512*c_1001_9^9 + 8941/256*c_1001_9^8 + 291/8*c_1001_9^7 + 287/16*c_1001_9^6 - 641/32*c_1001_9^5 - 295/4*c_1001_9^4 - 907/8*c_1001_9^3 - 118*c_1001_9^2 - 195/2*c_1001_9 - 42, c_0011_8 - 7/1024*c_1001_9^18 - 25/1024*c_1001_9^17 - 59/1024*c_1001_9^16 - 67/512*c_1001_9^15 - 181/1024*c_1001_9^14 - 27/256*c_1001_9^13 + 33/512*c_1001_9^12 + 23/32*c_1001_9^11 + 1681/1024*c_1001_9^10 + 1057/512*c_1001_9^9 + 323/128*c_1001_9^8 + 41/32*c_1001_9^7 - 35/16*c_1001_9^6 - 133/32*c_1001_9^5 - 61/8*c_1001_9^4 - 71/8*c_1001_9^3 - 9/2*c_1001_9^2 - 5/2*c_1001_9, c_0101_0 + 1/128*c_1001_9^18 + 15/512*c_1001_9^17 + 37/512*c_1001_9^16 + 87/512*c_1001_9^15 + 65/256*c_1001_9^14 + 109/512*c_1001_9^13 + 3/64*c_1001_9^12 - 187/256*c_1001_9^11 - 257/128*c_1001_9^10 - 1493/512*c_1001_9^9 - 1027/256*c_1001_9^8 - 413/128*c_1001_9^7 + 51/64*c_1001_9^6 + 129/32*c_1001_9^5 + 77/8*c_1001_9^4 + 111/8*c_1001_9^3 + 43/4*c_1001_9^2 + 19/2*c_1001_9 + 5, c_0101_1 - 21/1024*c_1001_9^18 - 119/1024*c_1001_9^17 - 385/1024*c_1001_9^16 - 493/512*c_1001_9^15 - 1899/1024*c_1001_9^14 - 323/128*c_1001_9^13 - 1007/512*c_1001_9^12 + 15/8*c_1001_9^11 + 10859/1024*c_1001_9^10 + 11717/512*c_1001_9^9 + 8941/256*c_1001_9^8 + 291/8*c_1001_9^7 + 287/16*c_1001_9^6 - 641/32*c_1001_9^5 - 295/4*c_1001_9^4 - 907/8*c_1001_9^3 - 118*c_1001_9^2 - 195/2*c_1001_9 - 42, c_0101_10 + 1/1024*c_1001_9^18 + 5/1024*c_1001_9^17 + 15/1024*c_1001_9^16 + 5/128*c_1001_9^15 + 79/1024*c_1001_9^14 + 55/512*c_1001_9^13 + 57/512*c_1001_9^12 - 3/256*c_1001_9^11 - 375/1024*c_1001_9^10 - 109/128*c_1001_9^9 - 381/256*c_1001_9^8 - 249/128*c_1001_9^7 - 89/64*c_1001_9^6 - 1/8*c_1001_9^5 + 2*c_1001_9^4 + 5*c_1001_9^3 + 25/4*c_1001_9^2 + 6*c_1001_9 + 5, c_0101_6 - 7/256*c_1001_9^18 - 49/512*c_1001_9^17 - 123/512*c_1001_9^16 - 335/512*c_1001_9^15 - 67/64*c_1001_9^14 - 601/512*c_1001_9^13 - 161/128*c_1001_9^12 + 387/256*c_1001_9^11 + 1697/256*c_1001_9^10 + 5573/512*c_1001_9^9 + 5431/256*c_1001_9^8 + 2959/128*c_1001_9^7 + 133/16*c_1001_9^6 + 9/8*c_1001_9^5 - 569/16*c_1001_9^4 - 303/4*c_1001_9^3 - 257/4*c_1001_9^2 - 79*c_1001_9 - 57, c_1001_10 - 1/128*c_1001_9^18 - 1/32*c_1001_9^17 - 27/256*c_1001_9^16 - 83/256*c_1001_9^15 - 165/256*c_1001_9^14 - 17/16*c_1001_9^13 - 377/256*c_1001_9^12 - 19/32*c_1001_9^11 + 111/64*c_1001_9^10 + 693/128*c_1001_9^9 + 3233/256*c_1001_9^8 + 2105/128*c_1001_9^7 + 869/64*c_1001_9^6 + 147/16*c_1001_9^5 - 189/16*c_1001_9^4 - 67/2*c_1001_9^3 - 35*c_1001_9^2 - 43*c_1001_9 - 28, c_1001_9^19 + 5*c_1001_9^18 + 15*c_1001_9^17 + 40*c_1001_9^16 + 79*c_1001_9^15 + 110*c_1001_9^14 + 114*c_1001_9^13 - 12*c_1001_9^12 - 375*c_1001_9^11 - 872*c_1001_9^10 - 1524*c_1001_9^9 - 1992*c_1001_9^8 - 1424*c_1001_9^7 - 128*c_1001_9^6 + 2048*c_1001_9^5 + 5120*c_1001_9^4 + 6400*c_1001_9^3 + 6144*c_1001_9^2 + 5120*c_1001_9 + 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB