Magma V2.19-8 Wed Aug 21 2013 01:04:02 on localhost [Seed = 1613133879] Type ? for help. Type -D to quit. Loading file "L14n23977__sl2_c1.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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : 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' : 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' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0101_6']), 's_1_7' : 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' : 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: 10 Groebner basis: [ t + 50511358150/177543940043*c_1001_6^9 + 147992216189/532631820129*c_1001_6^8 - 442143179993/532631820129*c_1001_6^7 + 356312901518/532631820129*c_1001_6^6 + 375141023183/532631820129*c_1001_6^5 - 58468465189/10443761179*c_1001_6^4 + 7331697132775/532631820129*c_1001_6^3 - 12148052761375/532631820129*c_1001_6^2 + 9461607960955/532631820129*c_1001_6 - 2761371509209/532631820129, c_0011_0 - 1, c_0011_10 + 434309/23898767*c_1001_6^9 + 2552120/23898767*c_1001_6^8 + 5227066/23898767*c_1001_6^7 + 6853972/23898767*c_1001_6^6 + 13427707/23898767*c_1001_6^5 + 14399616/23898767*c_1001_6^4 + 9745330/23898767*c_1001_6^3 + 21562408/23898767*c_1001_6^2 - 9455351/23898767*c_1001_6 + 2859563/23898767, c_0011_11 - 2325558/23898767*c_1001_6^9 - 5896181/23898767*c_1001_6^8 - 4333385/23898767*c_1001_6^7 - 11954260/23898767*c_1001_6^6 - 12987263/23898767*c_1001_6^5 + 22682616/23898767*c_1001_6^4 - 78765656/23898767*c_1001_6^3 + 106766069/23898767*c_1001_6^2 - 89314608/23898767*c_1001_6 + 90637546/23898767, c_0011_12 + 1, c_0011_3 - 2727156/23898767*c_1001_6^9 - 8050831/23898767*c_1001_6^8 - 8400840/23898767*c_1001_6^7 - 17883873/23898767*c_1001_6^6 - 25213237/23898767*c_1001_6^5 + 13036363/23898767*c_1001_6^4 - 88585727/23898767*c_1001_6^3 + 75354808/23898767*c_1001_6^2 - 97464345/23898767*c_1001_6 + 75435567/23898767, c_0011_6 - 2544190/23898767*c_1001_6^9 - 5536108/23898767*c_1001_6^8 - 1858405/23898767*c_1001_6^7 - 12345331/23898767*c_1001_6^6 - 15658173/23898767*c_1001_6^5 + 28643628/23898767*c_1001_6^4 - 99615798/23898767*c_1001_6^3 + 122023853/23898767*c_1001_6^2 - 107118080/23898767*c_1001_6 + 68583232/23898767, c_0011_7 + 106389/23898767*c_1001_6^9 + 1658030/23898767*c_1001_6^8 + 5519113/23898767*c_1001_6^7 + 8858511/23898767*c_1001_6^6 + 13089269/23898767*c_1001_6^5 + 17632615/23898767*c_1001_6^4 + 11195970/23898767*c_1001_6^3 + 41157322/23898767*c_1001_6^2 - 17293915/23898767*c_1001_6 + 20352313/23898767, c_0101_0 + 1679374/23898767*c_1001_6^9 + 4559947/23898767*c_1001_6^8 + 3227978/23898767*c_1001_6^7 + 8213445/23898767*c_1001_6^6 + 14000671/23898767*c_1001_6^5 - 11484838/23898767*c_1001_6^4 + 56466089/23898767*c_1001_6^3 - 41966625/23898767*c_1001_6^2 + 48742815/23898767*c_1001_6 - 26729504/23898767, c_0101_1 + 1266414/23898767*c_1001_6^9 + 3130811/23898767*c_1001_6^8 + 2697882/23898767*c_1001_6^7 + 10061499/23898767*c_1001_6^6 + 13883476/23898767*c_1001_6^5 - 7512537/23898767*c_1001_6^4 + 52969780/23898767*c_1001_6^3 - 48645967/23898767*c_1001_6^2 + 42626235/23898767*c_1001_6 - 26651749/23898767, c_0101_10 + 3709723/23898767*c_1001_6^9 + 9959508/23898767*c_1001_6^8 + 9013021/23898767*c_1001_6^7 + 23096603/23898767*c_1001_6^6 + 27851229/23898767*c_1001_6^5 - 26181092/23898767*c_1001_6^4 + 136607644/23898767*c_1001_6^3 - 138986633/23898767*c_1001_6^2 + 160411305/23898767*c_1001_6 - 112216716/23898767, c_0101_2 + 3011210/23898767*c_1001_6^9 + 8485698/23898767*c_1001_6^8 + 8245082/23898767*c_1001_6^7 + 20123662/23898767*c_1001_6^6 + 30287613/23898767*c_1001_6^5 - 9490649/23898767*c_1001_6^4 + 109286387/23898767*c_1001_6^3 - 86411531/23898767*c_1001_6^2 + 127855175/23898767*c_1001_6 - 78066085/23898767, c_0101_6 + 1384165/23898767*c_1001_6^9 + 4063327/23898767*c_1001_6^8 + 4679636/23898767*c_1001_6^7 + 11142343/23898767*c_1001_6^6 + 14863966/23898767*c_1001_6^5 - 3498476/23898767*c_1001_6^4 + 57841988/23898767*c_1001_6^3 - 32220564/23898767*c_1001_6^2 + 71096697/23898767*c_1001_6 - 21579170/23898767, c_1001_6^10 + 2*c_1001_6^9 + c_1001_6^8 + 6*c_1001_6^7 + 5*c_1001_6^6 - 10*c_1001_6^5 + 45*c_1001_6^4 - 66*c_1001_6^3 + 76*c_1001_6^2 - 64*c_1001_6 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.910 Total time: 1.120 seconds, Total memory usage: 32.09MB