Magma V2.19-8 Wed Aug 21 2013 00:01:58 on localhost [Seed = 1663371969] Type ? for help. Type -D to quit. Loading file "L14n58480__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58480 geometric_solution 11.46506276 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 2 2 2 2 0 -1 0 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 4 1 -5 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690267181701 0.767100216145 2 3 4 0 1302 0132 0132 0132 2 2 2 1 0 0 0 0 1 0 -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 1 -1 -4 0 4 0 5 -5 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 5 1 0 6 0132 2031 0132 0132 2 2 1 2 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 -5 5 0 0 0 0 0 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 4 1 5 7 0321 0132 2031 0132 2 0 1 2 0 0 0 0 0 0 -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 1 0 2 -3 -2 1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690267181701 0.767100216145 3 8 9 1 0321 0132 0132 0132 2 2 1 0 0 0 0 0 -1 0 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 1 0 -1 5 0 -1 -4 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956684569565 1.227185638225 2 6 8 3 0132 2103 2103 1302 0 2 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 0 0 0 0 0 0 0 0 2 0 -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 0.690267181701 0.767100216145 7 5 2 10 0213 2103 0132 0132 2 2 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 0 0 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956684569565 1.227185638225 6 8 3 10 0213 0213 0132 0321 2 0 2 1 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 -2 0 3 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452576205414 1.120873489937 5 4 7 9 2103 0132 0213 3120 2 2 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 -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 0.351807951824 0.720341736419 8 10 11 4 3120 2031 0132 0132 2 2 0 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 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 9 7 6 11 1302 0321 0132 0132 2 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 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604876617740 0.506843901806 11 11 10 9 1302 2031 0132 0132 2 2 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 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 0.690267181701 0.767100216145 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : 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'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_7'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} 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_1, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0101_2, c_0101_3, c_0101_9, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 130003955705/6994674608*c_1100_0^10 + 1230251990275/6994674608*c_1100_0^9 - 3037336904017/6994674608*c_1100_0^8 + 430012850167/3497337304*c_1100_0^7 - 285312780847/3497337304*c_1100_0^6 - 5443558086519/6994674608*c_1100_0^5 - 1478264331117/1748668652*c_1100_0^4 + 1247379157043/3497337304*c_1100_0^3 + 974034057981/874334326*c_1100_0^2 + 5366235834589/6994674608*c_1100_0 + 623983212833/3497337304, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 - 379745701/186028580*c_1100_0^10 + 718473387/37205716*c_1100_0^9 - 8868003849/186028580*c_1100_0^8 + 256354189/18602858*c_1100_0^7 - 966683551/93014290*c_1100_0^6 - 15499054551/186028580*c_1100_0^5 - 892629270/9301429*c_1100_0^4 + 3654035489/93014290*c_1100_0^3 + 1120789318/9301429*c_1100_0^2 + 16031876949/186028580*c_1100_0 + 1713409367/93014290, c_0011_11 - 93534167/241837154*c_1100_0^10 + 871488521/241837154*c_1100_0^9 - 2050854155/241837154*c_1100_0^8 + 122657935/120918577*c_1100_0^7 - 78713448/120918577*c_1100_0^6 - 4086697139/241837154*c_1100_0^5 - 2415335683/120918577*c_1100_0^4 + 668790375/120918577*c_1100_0^3 + 2946027133/120918577*c_1100_0^2 + 4508061783/241837154*c_1100_0 + 607089098/120918577, c_0011_4 - 456537591/186028580*c_1100_0^10 + 864297013/37205716*c_1100_0^9 - 10685898679/186028580*c_1100_0^8 + 313785521/18602858*c_1100_0^7 - 1163559031/93014290*c_1100_0^6 - 18606260541/186028580*c_1100_0^5 - 1071196528/9301429*c_1100_0^4 + 4509092589/93014290*c_1100_0^3 + 1348681623/9301429*c_1100_0^2 + 18737922159/186028580*c_1100_0 + 1954592987/93014290, c_0011_7 - 33419791/37205716*c_1100_0^10 + 316136497/37205716*c_1100_0^9 - 780799655/37205716*c_1100_0^8 + 114949901/18602858*c_1100_0^7 - 90851123/18602858*c_1100_0^6 - 1358300821/37205716*c_1100_0^5 - 396066252/9301429*c_1100_0^4 + 323714725/18602858*c_1100_0^3 + 482630737/9301429*c_1100_0^2 + 1431602075/37205716*c_1100_0 + 160066837/18602858, c_0101_2 + 33419791/37205716*c_1100_0^10 - 316136497/37205716*c_1100_0^9 + 780799655/37205716*c_1100_0^8 - 114949901/18602858*c_1100_0^7 + 90851123/18602858*c_1100_0^6 + 1358300821/37205716*c_1100_0^5 + 396066252/9301429*c_1100_0^4 - 323714725/18602858*c_1100_0^3 - 482630737/9301429*c_1100_0^2 - 1394396359/37205716*c_1100_0 - 160066837/18602858, c_0101_3 - 1, c_0101_9 - 472418451/483674308*c_1100_0^10 + 4415577089/483674308*c_1100_0^9 - 10512233275/483674308*c_1100_0^8 + 906407353/241837154*c_1100_0^7 - 891648917/241837154*c_1100_0^6 - 19381391325/483674308*c_1100_0^5 - 6176102303/120918577*c_1100_0^4 + 3688075585/241837154*c_1100_0^3 + 7413021717/120918577*c_1100_0^2 + 22848433707/483674308*c_1100_0 + 2729175849/241837154, c_1001_1 + 33419791/37205716*c_1100_0^10 - 316136497/37205716*c_1100_0^9 + 780799655/37205716*c_1100_0^8 - 114949901/18602858*c_1100_0^7 + 90851123/18602858*c_1100_0^6 + 1358300821/37205716*c_1100_0^5 + 396066252/9301429*c_1100_0^4 - 323714725/18602858*c_1100_0^3 - 482630737/9301429*c_1100_0^2 - 1431602075/37205716*c_1100_0 - 160066837/18602858, c_1001_10 + 1, c_1100_0^11 - 9*c_1100_0^10 + 19*c_1100_0^9 + 4*c_1100_0^8 + 2*c_1100_0^7 + 43*c_1100_0^6 + 66*c_1100_0^5 + 2*c_1100_0^4 - 68*c_1100_0^3 - 69*c_1100_0^2 - 28*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB