Magma V2.19-8 Tue Aug 20 2013 23:56:51 on localhost [Seed = 2244210046] Type ? for help. Type -D to quit. Loading file "L14n24879__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24879 geometric_solution 11.63776292 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 -1 1 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 0 1 -1 -7 0 1 6 0 0 0 0 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435131866714 1.062219672607 0 4 6 5 0132 3012 0132 0132 0 1 1 0 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 0 0 0 7 0 -7 0 6 -6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659820842838 0.856993019457 5 0 7 3 0132 0132 0132 3120 0 1 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 0 0 0 0 0 1 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.367042154809 0.496335541037 2 8 5 0 3120 0132 0132 0132 0 1 1 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 0 1 -1 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 0.367042154809 0.496335541037 1 9 0 6 1230 0132 0132 0132 0 1 0 0 0 0 -1 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 -1 1 0 6 0 -6 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 0.455370642788 0.997719189349 2 6 1 3 0132 2031 0132 0132 0 1 0 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 0 -1 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435131866714 1.062219672607 5 10 4 1 1302 0132 0132 0132 0 1 0 0 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 0 0 0 -7 0 0 7 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621409735559 0.829493024453 8 10 8 2 2310 2310 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087605968391 0.983647516556 7 3 7 9 2031 0132 3201 1302 0 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 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 0.087605968391 0.983647516556 11 4 8 10 0132 0132 2031 2310 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 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 0.630793898119 0.688579857568 9 6 11 7 3201 0132 1230 3201 0 0 0 0 0 -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 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 0.604804417319 1.127977401814 9 11 11 10 0132 3201 2310 3012 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840074446934 0.642347959846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0110_8']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0110_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), '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_1100_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_10']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['1'], 's_1_5' : 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_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0011_7']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0011_7']), 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0110_8'], '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_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_10, c_0110_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 257464141733222489/35827167225000000*c_0110_8^6 + 281289032185516589/11195989757812500*c_0110_8^5 + 8810065949296345601/179135836125000000*c_0110_8^4 + 6975759814771033393/179135836125000000*c_0110_8^3 + 7427874590152357/186599829296875*c_0110_8^2 + 837763072002251851/11195989757812500*c_0110_8 + 8765214196049918683/22391979515625000, c_0011_0 - 1, c_0011_10 + 3880/818439*c_0110_8^6 + 16517/1636878*c_0110_8^5 - 30730/818439*c_0110_8^4 - 61745/1636878*c_0110_8^3 - 139807/545626*c_0110_8^2 + 114097/818439*c_0110_8 + 182395/818439, c_0011_11 + 3305/1091252*c_0110_8^6 - 99751/1636878*c_0110_8^5 - 126723/1091252*c_0110_8^4 - 147271/3273756*c_0110_8^3 + 9561/545626*c_0110_8^2 + 128975/272813*c_0110_8 - 616925/818439, c_0011_3 - 242015/13095024*c_0110_8^6 - 100063/2182504*c_0110_8^5 - 743143/13095024*c_0110_8^4 - 79927/4365008*c_0110_8^3 + 261899/2182504*c_0110_8^2 - 14441/3273756*c_0110_8 - 165263/272813, c_0011_7 - 3880/818439*c_0110_8^6 - 16517/1636878*c_0110_8^5 + 30730/818439*c_0110_8^4 + 61745/1636878*c_0110_8^3 + 139807/545626*c_0110_8^2 - 932536/818439*c_0110_8 - 182395/818439, c_0101_0 - 1, c_0101_1 + 217265/6547512*c_0110_8^6 + 322189/3273756*c_0110_8^5 + 1593073/6547512*c_0110_8^4 + 1744879/6547512*c_0110_8^3 + 235097/1091252*c_0110_8^2 + 868721/1636878*c_0110_8 + 889474/818439, c_0101_10 + 4375/3273756*c_0110_8^6 + 143785/3273756*c_0110_8^5 + 279647/3273756*c_0110_8^4 + 81605/818439*c_0110_8^3 - 40677/1091252*c_0110_8^2 - 275015/818439*c_0110_8 + 849025/818439, c_0101_2 + 242015/13095024*c_0110_8^6 + 100063/2182504*c_0110_8^5 + 743143/13095024*c_0110_8^4 + 79927/4365008*c_0110_8^3 - 261899/2182504*c_0110_8^2 + 14441/3273756*c_0110_8 + 165263/272813, c_0110_10 + 3880/818439*c_0110_8^6 + 16517/1636878*c_0110_8^5 - 30730/818439*c_0110_8^4 - 61745/1636878*c_0110_8^3 - 139807/545626*c_0110_8^2 + 114097/818439*c_0110_8 + 182395/818439, c_0110_8^7 + 16/5*c_0110_8^6 + 29/5*c_0110_8^5 + 17/5*c_0110_8^4 + 4*c_0110_8^3 + 44/5*c_0110_8^2 + 256/5*c_0110_8 - 16, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB