Magma V2.19-8 Tue Aug 20 2013 23:42:51 on localhost [Seed = 2917910759] Type ? for help. Type -D to quit. Loading file "L13n5938__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5938 geometric_solution 8.95475829 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542634096928 0.469994270576 0 4 6 5 0132 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383372026843 0.721035837125 7 0 7 8 0132 0132 3012 0132 1 1 1 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 -1 1 0 -1 0 0 1 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380751810532 1.662774277451 9 10 5 0 0132 0132 1230 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 0.118695043674 0.715432338595 6 1 0 8 0132 2103 0132 1230 1 1 1 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 1 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130416166053 1.709608424045 10 6 1 3 3120 3201 0132 3012 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 0.069085425326 1.945186011740 4 7 5 1 0132 0321 2310 0132 1 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326513924316 0.101447015871 2 2 9 6 0132 1230 1230 0321 1 1 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 1 0 0 -1 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196693714589 0.528152128206 4 9 2 10 3012 3120 0132 3120 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 1 0 -1 0 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664241415071 0.484236067766 3 8 10 7 0132 3120 3120 3012 1 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.399473707610 0.565328398982 8 3 9 5 3120 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.181812666879 1.159620707673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), '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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : d['c_0110_10'], 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_0']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0110_10'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 647607970849/2340193000*c_1001_0^9 + 2479433226557/2340193000*c_1001_0^8 - 219726250177/468038600*c_1001_0^7 - 4006440914329/2340193000*c_1001_0^6 + 1864248694379/4680386000*c_1001_0^5 + 8832486653741/4680386000*c_1001_0^4 - 208533293727/2340193000*c_1001_0^3 - 3180447843239/4680386000*c_1001_0^2 + 233494112767/2340193000*c_1001_0 + 844534235537/4680386000, c_0011_0 - 1, c_0011_10 - 17828279/9360772*c_1001_0^9 + 74982299/9360772*c_1001_0^8 - 41491491/9360772*c_1001_0^7 - 133154647/9360772*c_1001_0^6 + 104078189/18721544*c_1001_0^5 + 305365755/18721544*c_1001_0^4 - 14450977/9360772*c_1001_0^3 - 115720617/18721544*c_1001_0^2 + 7876277/9360772*c_1001_0 + 21130975/18721544, c_0011_4 + 20724095/4680386*c_1001_0^9 - 77734867/4680386*c_1001_0^8 + 34061359/4680386*c_1001_0^7 + 109245815/4680386*c_1001_0^6 + 2631835/9360772*c_1001_0^5 - 254975811/9360772*c_1001_0^4 - 18204241/4680386*c_1001_0^3 + 48678985/9360772*c_1001_0^2 + 5795505/4680386*c_1001_0 - 14109123/9360772, c_0011_5 + 27871389/9360772*c_1001_0^9 - 127027425/9360772*c_1001_0^8 + 130545497/9360772*c_1001_0^7 + 117912277/9360772*c_1001_0^6 - 294670927/18721544*c_1001_0^5 - 299135857/18721544*c_1001_0^4 + 123196935/9360772*c_1001_0^3 + 109482931/18721544*c_1001_0^2 - 35221531/9360772*c_1001_0 - 16220045/18721544, c_0011_8 - 4509085/2340193*c_1001_0^9 + 14685503/2340193*c_1001_0^8 + 3942055/2340193*c_1001_0^7 - 37258003/2340193*c_1001_0^6 - 20876777/4680386*c_1001_0^5 + 83594891/4680386*c_1001_0^4 + 19687077/2340193*c_1001_0^3 - 31329895/4680386*c_1001_0^2 - 4853253/2340193*c_1001_0 + 6920953/4680386, c_0101_0 - 1, c_0101_1 - 1450239/9360772*c_1001_0^9 - 16322901/9360772*c_1001_0^8 + 98588333/9360772*c_1001_0^7 - 115996759/9360772*c_1001_0^6 - 140963611/18721544*c_1001_0^5 + 166860411/18721544*c_1001_0^4 + 107823611/9360772*c_1001_0^3 - 94797777/18721544*c_1001_0^2 - 12276539/9360772*c_1001_0 + 1078479/18721544, c_0101_10 - 3856657/4680386*c_1001_0^9 + 16063005/4680386*c_1001_0^8 - 7214645/4680386*c_1001_0^7 - 27311021/4680386*c_1001_0^6 - 12513205/9360772*c_1001_0^5 + 86372525/9360772*c_1001_0^4 + 11903409/4680386*c_1001_0^3 - 24423515/9360772*c_1001_0^2 - 3438435/4680386*c_1001_0 + 10881321/9360772, c_0101_3 + 11174884/2340193*c_1001_0^9 - 43541288/2340193*c_1001_0^8 + 25105624/2340193*c_1001_0^7 + 52903756/2340193*c_1001_0^6 - 7909174/2340193*c_1001_0^5 - 55311382/2340193*c_1001_0^4 - 5306116/2340193*c_1001_0^3 + 3857898/2340193*c_1001_0^2 - 1611050/2340193*c_1001_0 + 571371/2340193, c_0110_10 + 22123857/9360772*c_1001_0^9 - 101903165/9360772*c_1001_0^8 + 107295325/9360772*c_1001_0^7 + 73693049/9360772*c_1001_0^6 - 146971419/18721544*c_1001_0^5 - 218754877/18721544*c_1001_0^4 + 43773291/9360772*c_1001_0^3 + 26417671/18721544*c_1001_0^2 + 393057/9360772*c_1001_0 + 18514367/18721544, c_1001_0^10 - 4*c_1001_0^9 + 16/7*c_1001_0^8 + 6*c_1001_0^7 - 31/14*c_1001_0^6 - 48/7*c_1001_0^5 + 15/14*c_1001_0^4 + 5/2*c_1001_0^3 - 9/14*c_1001_0^2 - 9/14*c_1001_0 + 1/14 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB