Magma V2.19-8 Tue Aug 20 2013 23:40:41 on localhost [Seed = 2463430145] Type ? for help. Type -D to quit. Loading file "L11n20__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n20 geometric_solution 10.24919497 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 2031 0132 1 1 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 0 0 0 -1 0 1 1 0 -1 0 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660718174586 1.011010831533 0 4 4 0 0132 0132 1302 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 0 1 -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 0.547047325366 0.693094390076 3 0 5 4 0213 0132 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715376262020 0.534228011495 2 6 0 7 0213 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.217175529835 0.541999294596 1 1 2 7 2031 0132 1230 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 1 0 -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 0.298333977825 0.888992160507 8 9 7 2 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 5 0 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302242384568 0.506189243613 8 3 9 9 2031 0132 2103 0132 1 0 1 1 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 -1 1 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 0 0 0 0 0.253195605753 0.803062279383 4 10 3 5 3120 0132 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 0 0 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 1.667993231097 0.792797197624 5 10 6 10 0132 1302 1302 1230 0 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 1 -2 0 0 0 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642892072117 1.132641720614 6 5 6 10 2103 0132 0132 0132 1 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 0 0 0 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 0 0 0.642892072117 1.132641720614 8 7 9 8 3012 0132 0132 2031 1 0 1 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 -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 0.620978177054 0.667757386209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_10' : d['c_0101_6'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_3'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0101_6']})} 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_3, c_0011_5, c_0101_0, c_0101_10, c_0101_6, c_0101_7, c_1001_10, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 5560910531/99170920000*c_1001_4^9 - 302781131/12396365000*c_1001_4^8 + 236391173/1239636500*c_1001_4^7 + 4745399787/6198182500*c_1001_4^6 + 16766441387/49585460000*c_1001_4^5 - 1457198281/991709200*c_1001_4^4 - 1311541263/309909125*c_1001_4^3 - 907302861/247927300*c_1001_4^2 - 27655575947/19834184000*c_1001_4 + 33575079653/24792730000, c_0011_0 - 1, c_0011_10 - 101/2504*c_1001_4^9 + 301/2504*c_1001_4^8 + 9/2504*c_1001_4^7 - 135/2504*c_1001_4^6 - 1281/2504*c_1001_4^5 + 1317/2504*c_1001_4^4 + 905/2504*c_1001_4^3 - 583/2504*c_1001_4^2 - 1491/626*c_1001_4 + 83/313, c_0011_3 - 79/2504*c_1001_4^9 - 279/2504*c_1001_4^8 + 757/2504*c_1001_4^7 + 1791/2504*c_1001_4^6 + 969/2504*c_1001_4^5 - 6079/2504*c_1001_4^4 - 8459/2504*c_1001_4^3 - 3617/2504*c_1001_4^2 + 469/313*c_1001_4 - 183/313, c_0011_5 + 24/313*c_1001_4^9 - 283/1252*c_1001_4^8 - 179/1252*c_1001_4^7 + 181/1252*c_1001_4^6 + 2107/1252*c_1001_4^5 - 319/1252*c_1001_4^4 - 2419/1252*c_1001_4^3 - 3707/1252*c_1001_4^2 + 3955/1252*c_1001_4 + 211/313, c_0101_0 - 65/2504*c_1001_4^9 - 79/2504*c_1001_4^8 - 19/2504*c_1001_4^7 + 1537/2504*c_1001_4^6 + 1661/2504*c_1001_4^5 - 1111/2504*c_1001_4^4 - 9979/2504*c_1001_4^3 - 9759/2504*c_1001_4^2 - 2573/1252*c_1001_4 + 729/313, c_0101_10 - 17/1252*c_1001_4^9 - 16/313*c_1001_4^8 + 12/313*c_1001_4^7 + 133/313*c_1001_4^6 + 170/313*c_1001_4^5 - 122/313*c_1001_4^4 - 880/313*c_1001_4^3 - 986/313*c_1001_4^2 - 1447/1252*c_1001_4 + 468/313, c_0101_6 - 1, c_0101_7 + 183/1252*c_1001_4^9 - 79/626*c_1001_4^8 - 166/313*c_1001_4^7 - 327/313*c_1001_4^6 + 361/313*c_1001_4^5 + 2019/626*c_1001_4^4 + 1427/313*c_1001_4^3 + 285/313*c_1001_4^2 + 37/1252*c_1001_4 - 527/313, c_1001_10 + 79/2504*c_1001_4^9 + 279/2504*c_1001_4^8 - 757/2504*c_1001_4^7 - 1791/2504*c_1001_4^6 - 969/2504*c_1001_4^5 + 6079/2504*c_1001_4^4 + 8459/2504*c_1001_4^3 + 3617/2504*c_1001_4^2 - 469/313*c_1001_4 + 183/313, c_1001_2 - 101/2504*c_1001_4^9 + 301/2504*c_1001_4^8 + 9/2504*c_1001_4^7 - 135/2504*c_1001_4^6 - 1281/2504*c_1001_4^5 + 1317/2504*c_1001_4^4 + 905/2504*c_1001_4^3 - 583/2504*c_1001_4^2 - 1491/626*c_1001_4 + 83/313, c_1001_4^10 - 4*c_1001_4^8 - 12*c_1001_4^7 + 2*c_1001_4^6 + 32*c_1001_4^5 + 60*c_1001_4^4 + 20*c_1001_4^3 - 15*c_1001_4^2 - 32*c_1001_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB