Magma V2.19-8 Tue Aug 20 2013 23:55:24 on localhost [Seed = 3869281977] Type ? for help. Type -D to quit. Loading file "L14a20418__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20418 geometric_solution 8.80465815 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 0 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 0 0 0 0 0 1 -1 0 0 0 0 -5 5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881031766129 0.806484891754 0 4 5 0 0132 0132 0132 2031 0 0 1 0 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 5 0 -5 0 0 0 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179014998177 1.213541520539 6 6 7 0 0132 1230 0132 0132 0 0 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 0 -1 0 0 0 0 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.053994500863 0.446333299294 8 5 0 9 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.447693655545 0.130404817001 8 1 8 5 3120 0132 2310 3120 0 0 0 1 0 1 -1 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 -5 4 1 0 0 0 0 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542431453123 0.756954749417 4 9 3 1 3120 3120 3012 0132 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 0 0 0 -4 -1 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377216511701 0.394838309725 2 8 2 9 0132 1230 3012 1230 0 0 0 1 0 0 0 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 0 0 -1 1 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267129154639 2.208162591026 9 10 10 2 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492307597110 1.298061279349 3 4 6 4 0132 3201 3012 3120 1 0 0 0 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 0 -1 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 0.542431453123 0.756954749417 6 5 3 7 3012 3120 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.634471377910 0.499052422241 11 7 7 11 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.571464424544 0.245862331132 10 11 11 10 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.620473973212 0.078311710729 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_2'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0011_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'], '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_5'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_1100_8' : d['c_0011_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 5070360554627/54400960152*c_1001_3^15 + 4216948320817/90668266920*c_1001_3^14 + 147693073651831/90668266920*c_1001_3^13 - 154413149294653/45334133460*c_1001_3^12 - 48734773832951/19428914340*c_1001_3^11 + 1387447588185061/136002400380*c_1001_3^10 + 85920485493767/38857828680*c_1001_3^9 - 663653943355367/38857828680*c_1001_3^8 - 245774423911421/45334133460*c_1001_3^7 + 2401759230821971/90668266920*c_1001_3^6 + 184035161156701/34000600095*c_1001_3^5 - 234831369112607/7771565736*c_1001_3^4 + 18799853934167/27200480076*c_1001_3^3 + 5066082303853661/272004800760*c_1001_3^2 - 68594779659451/30222755640*c_1001_3 - 45535430251081/9066826692, c_0011_0 - 1, c_0011_10 - 20635/264312*c_1001_3^15 - 270757/132156*c_1001_3^14 + 2343121/132156*c_1001_3^13 - 13171205/264312*c_1001_3^12 + 5779799/132156*c_1001_3^11 + 3107857/66078*c_1001_3^10 - 23890925/264312*c_1001_3^9 - 1838611/44052*c_1001_3^8 + 9001529/88104*c_1001_3^7 + 11021999/88104*c_1001_3^6 - 66761947/264312*c_1001_3^5 - 517647/29368*c_1001_3^4 + 63820301/264312*c_1001_3^3 - 3044635/29368*c_1001_3^2 - 2616089/44052*c_1001_3 + 1195819/29368, c_0011_2 + 97735/132156*c_1001_3^15 - 74689/33039*c_1001_3^14 - 693371/132156*c_1001_3^13 + 3670361/132156*c_1001_3^12 - 1423367/66078*c_1001_3^11 - 1364899/33039*c_1001_3^10 + 6189455/132156*c_1001_3^9 + 640405/11013*c_1001_3^8 - 1260139/22026*c_1001_3^7 - 4636103/44052*c_1001_3^6 + 7517735/66078*c_1001_3^5 + 3008377/44052*c_1001_3^4 - 7148101/66078*c_1001_3^3 - 21089/44052*c_1001_3^2 + 1359475/44052*c_1001_3 - 52835/14684, c_0011_3 + 62195/264312*c_1001_3^15 - 325277/264312*c_1001_3^14 + 555941/264312*c_1001_3^13 - 56585/66078*c_1001_3^12 - 112843/132156*c_1001_3^11 + 158093/132156*c_1001_3^10 - 758801/264312*c_1001_3^9 + 243485/88104*c_1001_3^8 + 11033/22026*c_1001_3^7 + 377681/88104*c_1001_3^6 - 1307177/132156*c_1001_3^5 - 314209/88104*c_1001_3^4 + 1064045/66078*c_1001_3^3 - 391867/88104*c_1001_3^2 - 552553/88104*c_1001_3 + 13537/7342, c_0011_5 + 27565/66078*c_1001_3^15 - 222391/264312*c_1001_3^14 - 1375679/264312*c_1001_3^13 + 4964219/264312*c_1001_3^12 - 325394/33039*c_1001_3^11 - 3945641/132156*c_1001_3^10 + 2832637/132156*c_1001_3^9 + 4053815/88104*c_1001_3^8 - 2139965/88104*c_1001_3^7 - 885232/11013*c_1001_3^6 + 15114361/264312*c_1001_3^5 + 891571/14684*c_1001_3^4 - 15174785/264312*c_1001_3^3 - 58855/3671*c_1001_3^2 + 1569619/88104*c_1001_3 + 85307/29368, c_0101_0 + 97225/33039*c_1001_3^15 - 5112845/264312*c_1001_3^14 + 11140229/264312*c_1001_3^13 - 3190733/264312*c_1001_3^12 - 2466436/33039*c_1001_3^11 + 7066217/132156*c_1001_3^10 + 13061963/132156*c_1001_3^9 - 1702261/29368*c_1001_3^8 - 17296681/88104*c_1001_3^7 + 7073695/44052*c_1001_3^6 + 44688293/264312*c_1001_3^5 - 2278660/11013*c_1001_3^4 - 10050097/264312*c_1001_3^3 + 4333187/44052*c_1001_3^2 - 244681/88104*c_1001_3 - 515341/29368, c_0101_1 - 1, c_0101_10 - 5865/14684*c_1001_3^15 - 3109/3671*c_1001_3^14 + 81317/3671*c_1001_3^13 - 1171495/14684*c_1001_3^12 + 661413/7342*c_1001_3^11 + 233069/3671*c_1001_3^10 - 2667587/14684*c_1001_3^9 - 155499/3671*c_1001_3^8 + 3296479/14684*c_1001_3^7 + 2373361/14684*c_1001_3^6 - 7115087/14684*c_1001_3^5 + 436885/14684*c_1001_3^4 + 6573949/14684*c_1001_3^3 - 3232775/14684*c_1001_3^2 - 416269/3671*c_1001_3 + 1256409/14684, c_0101_11 - 63455/14684*c_1001_3^15 + 476393/14684*c_1001_3^14 - 1294227/14684*c_1001_3^13 + 556055/7342*c_1001_3^12 + 626243/7342*c_1001_3^11 - 1191473/7342*c_1001_3^10 - 1060211/14684*c_1001_3^9 + 2662633/14684*c_1001_3^8 + 1630725/7342*c_1001_3^7 - 6602501/14684*c_1001_3^6 - 126874/3671*c_1001_3^5 + 6438901/14684*c_1001_3^4 - 1412351/7342*c_1001_3^3 - 1573673/14684*c_1001_3^2 + 1183693/14684*c_1001_3 - 33005/7342, c_0101_7 - 97055/44052*c_1001_3^15 + 1505111/88104*c_1001_3^14 - 4175657/88104*c_1001_3^13 + 3510485/88104*c_1001_3^12 + 389945/7342*c_1001_3^11 - 1391757/14684*c_1001_3^10 - 190903/3671*c_1001_3^9 + 10230023/88104*c_1001_3^8 + 4085375/29368*c_1001_3^7 - 1951633/7342*c_1001_3^6 - 4872451/88104*c_1001_3^5 + 12123017/44052*c_1001_3^4 - 6180769/88104*c_1001_3^3 - 1088569/11013*c_1001_3^2 + 987877/29368*c_1001_3 + 409671/29368, c_0101_8 - 23015/264312*c_1001_3^15 + 12461/66078*c_1001_3^14 + 141751/66078*c_1001_3^13 - 2602843/264312*c_1001_3^12 + 1432315/132156*c_1001_3^11 + 418012/33039*c_1001_3^10 - 7472437/264312*c_1001_3^9 - 206485/22026*c_1001_3^8 + 2944723/88104*c_1001_3^7 + 2568031/88104*c_1001_3^6 - 17570933/264312*c_1001_3^5 - 327179/29368*c_1001_3^4 + 17673799/264312*c_1001_3^3 - 587403/29368*c_1001_3^2 - 403445/22026*c_1001_3 + 215757/29368, c_1001_3^16 - 38/5*c_1001_3^15 + 101/5*c_1001_3^14 - 62/5*c_1001_3^13 - 191/5*c_1001_3^12 + 292/5*c_1001_3^11 + 157/5*c_1001_3^10 - 84*c_1001_3^9 - 306/5*c_1001_3^8 + 156*c_1001_3^7 + 227/5*c_1001_3^6 - 1068/5*c_1001_3^5 + 257/5*c_1001_3^4 + 642/5*c_1001_3^3 - 348/5*c_1001_3^2 - 126/5*c_1001_3 + 99/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB