Magma V2.19-8 Wed Aug 21 2013 01:02:30 on localhost [Seed = 357764832] Type ? for help. Type -D to quit. Loading file "L14n15069__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15069 geometric_solution 11.95880614 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 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 -1 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 0.688661199691 0.974414722627 0 4 0 5 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 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 0.516300713503 0.684405780809 6 7 3 0 0132 0132 2031 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 0 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 0.525057747843 0.689936721794 8 6 0 2 0132 2310 0132 1302 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.310697600861 0.986756650269 9 1 9 10 0132 0132 3120 0132 1 0 1 1 0 0 1 -1 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 -3 0 2 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 0.640742518073 0.362185386440 11 9 1 10 0132 3120 0132 3201 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263901231607 0.401783385777 2 8 11 3 0132 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202270748772 0.936480624707 11 2 12 8 2103 0132 0132 0321 1 1 1 1 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 0 -1 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 -0.015942216226 1.212664968949 3 7 11 6 0132 0321 3012 3201 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255506090992 0.850803117270 4 5 4 12 0132 3120 3120 1302 1 0 1 1 0 0 0 0 -2 0 1 1 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 0 0 0 3 0 -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 0.640742518073 0.362185386440 12 5 4 12 1302 2310 0132 2310 1 0 1 1 0 -1 1 0 -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 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 0.842002176602 1.052848726512 5 8 7 6 0132 1230 2103 0132 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405751506510 0.770355428458 10 10 9 7 3201 2031 2031 0132 1 1 1 0 0 0 1 -1 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 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 0.536714395961 0.579297383995 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0011_2']), 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_11']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : d['c_0101_12'], 'c_1100_8' : d['c_0011_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_8']), '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_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_1'], '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_0011_12']), '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_0101_12']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_8, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 438804498554407/78463115679754*c_1001_4^17 + 6124229020309209/78463115679754*c_1001_4^16 - 1588630611669763/3017812141529*c_1001_4^15 + 87317263444232595/39231557839877*c_1001_4^14 - 509399090213593667/78463115679754*c_1001_4^13 + 533730282008887219/39231557839877*c_1001_4^12 - 1627433493594765221/78463115679754*c_1001_4^11 + 1794401785573044293/78463115679754*c_1001_4^10 - 54382218026360580/3017812141529*c_1001_4^9 + 416173008376149252/39231557839877*c_1001_4^8 - 252392703198047618/39231557839877*c_1001_4^7 + 451372780176836961/78463115679754*c_1001_4^6 - 6337007257633704/1265534123867*c_1001_4^5 + 115330514445539583/39231557839877*c_1001_4^4 - 40415854388068684/39231557839877*c_1001_4^3 + 8340216984109906/39231557839877*c_1001_4^2 - 3352815565939360/39231557839877*c_1001_4 + 1595041094556700/39231557839877, c_0011_0 - 1, c_0011_10 + 1/16*c_1001_4^17 - 15/16*c_1001_4^16 + 107/16*c_1001_4^15 - 237/8*c_1001_4^14 + 1437/16*c_1001_4^13 - 1553/8*c_1001_4^12 + 1211/4*c_1001_4^11 - 1353/4*c_1001_4^10 + 2137/8*c_1001_4^9 - 2503/16*c_1001_4^8 + 1525/16*c_1001_4^7 - 685/8*c_1001_4^6 + 1181/16*c_1001_4^5 - 351/8*c_1001_4^4 + 31/2*c_1001_4^3 - 3*c_1001_4^2 + 13/4*c_1001_4 - 3/2, c_0011_11 - c_1001_4^2 + 2*c_1001_4 - 1, c_0011_12 + c_1001_4^17 - 14*c_1001_4^16 + 95*c_1001_4^15 - 405*c_1001_4^14 + 1194*c_1001_4^13 - 2536*c_1001_4^12 + 3934*c_1001_4^11 - 4438*c_1001_4^10 + 3604*c_1001_4^9 - 2187*c_1001_4^8 + 1310*c_1001_4^7 - 1122*c_1001_4^6 + 985*c_1001_4^5 - 605*c_1001_4^4 + 229*c_1001_4^3 - 51*c_1001_4^2 + 17*c_1001_4 - 7, c_0011_2 - 5/8*c_1001_4^17 + 69/8*c_1001_4^16 - 465/8*c_1001_4^15 + 989/4*c_1001_4^14 - 5839/8*c_1001_4^13 + 6223/4*c_1001_4^12 - 2424*c_1001_4^11 + 10971/4*c_1001_4^10 - 8893/4*c_1001_4^9 + 10699/8*c_1001_4^8 - 6431/8*c_1001_4^7 + 1417/2*c_1001_4^6 - 4987/8*c_1001_4^5 + 1497/4*c_1001_4^4 - 277/2*c_1001_4^3 + 133/4*c_1001_4^2 - 25/2*c_1001_4 + 11/2, c_0011_3 - 3/8*c_1001_4^17 + 43/8*c_1001_4^16 - 301/8*c_1001_4^15 + 333/2*c_1001_4^14 - 4099/8*c_1001_4^13 + 4567/4*c_1001_4^12 - 7465/4*c_1001_4^11 + 8893/4*c_1001_4^10 - 7581/4*c_1001_4^9 + 9317/8*c_1001_4^8 - 5173/8*c_1001_4^7 + 2139/4*c_1001_4^6 - 4031/8*c_1001_4^5 + 1325/4*c_1001_4^4 - 511/4*c_1001_4^3 + 103/4*c_1001_4^2 - 7*c_1001_4 + 9/2, c_0101_0 - 1/16*c_1001_4^17 + 13/16*c_1001_4^16 - 81/16*c_1001_4^15 + 39/2*c_1001_4^14 - 813/16*c_1001_4^13 + 185/2*c_1001_4^12 - 471/4*c_1001_4^11 + 411/4*c_1001_4^10 - 493/8*c_1001_4^9 + 531/16*c_1001_4^8 - 463/16*c_1001_4^7 + 111/4*c_1001_4^6 - 293/16*c_1001_4^5 + 29/4*c_1001_4^4 - c_1001_4^2 + 7/4*c_1001_4 - 1, c_0101_1 + 1/16*c_1001_4^17 - 13/16*c_1001_4^16 + 81/16*c_1001_4^15 - 39/2*c_1001_4^14 + 813/16*c_1001_4^13 - 185/2*c_1001_4^12 + 471/4*c_1001_4^11 - 411/4*c_1001_4^10 + 493/8*c_1001_4^9 - 531/16*c_1001_4^8 + 463/16*c_1001_4^7 - 111/4*c_1001_4^6 + 293/16*c_1001_4^5 - 29/4*c_1001_4^4 + c_1001_4^3 - 2*c_1001_4^2 + 9/4*c_1001_4, c_0101_11 + 1/16*c_1001_4^17 - 15/16*c_1001_4^16 + 107/16*c_1001_4^15 - 237/8*c_1001_4^14 + 1437/16*c_1001_4^13 - 1553/8*c_1001_4^12 + 1211/4*c_1001_4^11 - 1353/4*c_1001_4^10 + 2137/8*c_1001_4^9 - 2503/16*c_1001_4^8 + 1525/16*c_1001_4^7 - 685/8*c_1001_4^6 + 1181/16*c_1001_4^5 - 351/8*c_1001_4^4 + 31/2*c_1001_4^3 - 3*c_1001_4^2 + 17/4*c_1001_4 - 5/2, c_0101_12 + 1, c_0101_2 - 3/16*c_1001_4^17 + 47/16*c_1001_4^16 - 347/16*c_1001_4^15 + 397/4*c_1001_4^14 - 4979/16*c_1001_4^13 + 2793/4*c_1001_4^12 - 4549/4*c_1001_4^11 + 1337*c_1001_4^10 - 8923/8*c_1001_4^9 + 10769/16*c_1001_4^8 - 6165/16*c_1001_4^7 + 1337/4*c_1001_4^6 - 4859/16*c_1001_4^5 + 371/2*c_1001_4^4 - 68*c_1001_4^3 + 63/4*c_1001_4^2 - 21/4*c_1001_4 + 5/2, c_0101_8 + 7/8*c_1001_4^17 - 101/8*c_1001_4^16 + 699/8*c_1001_4^15 - 1511/4*c_1001_4^14 + 8995/8*c_1001_4^13 - 4805/2*c_1001_4^12 + 14947/4*c_1001_4^11 - 16849/4*c_1001_4^10 + 13617/4*c_1001_4^9 - 16397/8*c_1001_4^8 + 9819/8*c_1001_4^7 - 2131/2*c_1001_4^6 + 7495/8*c_1001_4^5 - 570*c_1001_4^4 + 845/4*c_1001_4^3 - 191/4*c_1001_4^2 + 16*c_1001_4 - 15/2, c_1001_4^18 - 15*c_1001_4^17 + 109*c_1001_4^16 - 500*c_1001_4^15 + 1599*c_1001_4^14 - 3730*c_1001_4^13 + 6470*c_1001_4^12 - 8372*c_1001_4^11 + 8042*c_1001_4^10 - 5791*c_1001_4^9 + 3497*c_1001_4^8 - 2432*c_1001_4^7 + 2107*c_1001_4^6 - 1590*c_1001_4^5 + 834*c_1001_4^4 - 280*c_1001_4^3 + 68*c_1001_4^2 - 24*c_1001_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.900 Total time: 1.100 seconds, Total memory usage: 32.09MB