Magma V2.19-8 Wed Aug 21 2013 00:51:02 on localhost [Seed = 3499541977] Type ? for help. Type -D to quit. Loading file "L10n33__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n33 geometric_solution 12.40477830 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 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 1 -1 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 0.764801100319 0.589179762238 0 5 6 5 0132 0132 0132 0213 1 0 1 0 0 0 0 0 1 0 0 -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 -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 0.511296531293 0.646742728974 7 0 9 8 0132 0132 0132 0132 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 -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 0.447469317438 0.784953654859 10 11 6 0 0132 0132 3120 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 -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 0.447469317438 0.784953654859 7 12 0 12 3012 0132 0132 1230 1 0 1 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 -1 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511296531293 0.646742728974 10 1 8 1 2310 0132 2103 0213 1 1 0 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 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511296531293 0.646742728974 7 10 3 1 1023 2310 3120 0132 1 0 0 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 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 0.500000000000 0.500000000000 2 6 9 4 0132 1023 2103 1230 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 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 1.000000000000 1.000000000000 5 11 2 11 2103 0213 0132 2310 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 -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 0.413390714489 0.509617355766 7 12 10 2 2103 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 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 0.611735083836 1.571765394095 3 9 5 6 0132 3201 3201 3201 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 -1 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 0.611735083836 1.571765394095 8 3 8 12 3201 0132 0213 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 0 0 0 0 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 0.413390714489 0.509617355766 4 4 11 9 3012 0132 2031 0321 1 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 0 0 0 0 0 0 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 0.743719503590 0.984227066395 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0011_10'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0011_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' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_3']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_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_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_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_12, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1459/12288*c_1001_3^5 - 637/2048*c_1001_3^4 + 1781/3072*c_1001_3^3 + 613/1536*c_1001_3^2 + 467/3072*c_1001_3 - 1697/1536, c_0011_0 - 1, c_0011_10 - 1/12*c_1001_3^5 + 1/3*c_1001_3^3 - 2/3*c_1001_3^2 + 1/3*c_1001_3 + 4/3, c_0011_12 - 1/12*c_1001_3^5 + 1/4*c_1001_3^4 - 5/12*c_1001_3^3 - 1/6*c_1001_3^2 - 1/6*c_1001_3 + 1/3, c_0011_8 + 1/24*c_1001_3^5 - 1/4*c_1001_3^4 + 7/12*c_1001_3^3 - 1/6*c_1001_3^2 - 2/3*c_1001_3 - 2/3, c_0011_9 - 1/24*c_1001_3^5 + 1/6*c_1001_3^3 - 5/6*c_1001_3^2 + 1/6*c_1001_3 + 2/3, c_0101_0 + 1/4*c_1001_3^3 - 1/2*c_1001_3^2 + 1/2*c_1001_3, c_0101_1 - 1, c_0101_12 - 1/24*c_1001_3^5 + 1/4*c_1001_3^4 - 7/12*c_1001_3^3 + 1/6*c_1001_3^2 + 2/3*c_1001_3 + 2/3, c_0101_3 - 1/12*c_1001_3^5 + 1/4*c_1001_3^4 - 5/12*c_1001_3^3 - 1/6*c_1001_3^2 + 5/6*c_1001_3 + 1/3, c_0101_5 - c_1001_3, c_1001_0 - 1/12*c_1001_3^5 + 1/3*c_1001_3^3 - 2/3*c_1001_3^2 - 2/3*c_1001_3 + 4/3, c_1001_2 - 1/24*c_1001_3^5 + 1/4*c_1001_3^4 - 7/12*c_1001_3^3 + 1/6*c_1001_3^2 + 2/3*c_1001_3 - 1/3, c_1001_3^6 - 4*c_1001_3^5 + 8*c_1001_3^4 - 12*c_1001_3^2 + 16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 482230966027/132065674000*c_1001_3^7 - 41272530051/13206567400*c_1001_3^6 + 2959246680217/33016418500*c_1001_3^5 + 39318814137449/66032837000*c_1001_3^4 + 18304341541013/33016418500*c_1001_3^3 - 6576632212612/8254104625*c_1001_3^2 - 190773252877/1269862250*c_1001_3 + 765715453131/1650820925, c_0011_0 - 1, c_0011_10 + 1566267/660328370*c_1001_3^7 + 125479/132065674*c_1001_3^6 + 17093779/330164185*c_1001_3^5 + 157222354/330164185*c_1001_3^4 + 228719346/330164185*c_1001_3^3 - 116022146/330164185*c_1001_3^2 - 6010053/25397245*c_1001_3 - 13269924/66032837, c_0011_12 - 10685141/1320656740*c_1001_3^7 + 1078111/132065674*c_1001_3^6 - 257654239/1320656740*c_1001_3^5 - 429125611/330164185*c_1001_3^4 - 289237989/330164185*c_1001_3^3 + 812352954/330164185*c_1001_3^2 + 26781489/50794490*c_1001_3 - 79648201/66032837, c_0011_8 + 9659849/1320656740*c_1001_3^7 - 1030875/264131348*c_1001_3^6 + 122834053/660328370*c_1001_3^5 + 408188384/330164185*c_1001_3^4 + 1152218657/660328370*c_1001_3^3 - 129021527/660328370*c_1001_3^2 - 13680168/25397245*c_1001_3 + 32448887/66032837, c_0011_9 - 58078/66032837*c_1001_3^7 - 1043371/264131348*c_1001_3^6 - 3995411/264131348*c_1001_3^5 - 36268927/132065674*c_1001_3^4 - 106028425/132065674*c_1001_3^3 - 83276493/132065674*c_1001_3^2 + 3128773/10158898*c_1001_3 + 6402122/66032837, c_0101_0 + 7552607/1320656740*c_1001_3^7 - 601795/66032837*c_1001_3^6 + 189279123/1320656740*c_1001_3^5 + 271903257/330164185*c_1001_3^4 + 60518643/330164185*c_1001_3^3 - 696330808/330164185*c_1001_3^2 - 14761383/50794490*c_1001_3 + 26885288/66032837, c_0101_1 - 1, c_0101_12 + 6273757/660328370*c_1001_3^7 - 1948841/264131348*c_1001_3^6 + 78445064/330164185*c_1001_3^5 + 511895814/330164185*c_1001_3^4 + 573439836/330164185*c_1001_3^3 - 1134045137/660328370*c_1001_3^2 - 23286908/25397245*c_1001_3 + 53505563/66032837, c_0101_3 - 1022381/660328370*c_1001_3^7 - 47509/66032837*c_1001_3^6 - 52085433/1320656740*c_1001_3^5 - 95889002/330164185*c_1001_3^4 - 440820981/660328370*c_1001_3^3 - 83398352/330164185*c_1001_3^2 + 50132773/50794490*c_1001_3 + 6362193/66032837, c_0101_5 - 2662913/330164185*c_1001_3^7 + 721001/66032837*c_1001_3^6 - 67512132/330164185*c_1001_3^5 - 397184902/330164185*c_1001_3^4 - 210895193/330164185*c_1001_3^3 + 758847408/330164185*c_1001_3^2 + 19216579/25397245*c_1001_3 - 51763652/66032837, c_1001_0 + 2662913/330164185*c_1001_3^7 - 721001/66032837*c_1001_3^6 + 67512132/330164185*c_1001_3^5 + 397184902/330164185*c_1001_3^4 + 210895193/330164185*c_1001_3^3 - 758847408/330164185*c_1001_3^2 + 6180666/25397245*c_1001_3 + 51763652/66032837, c_1001_2 - 4631453/1320656740*c_1001_3^7 + 554249/66032837*c_1001_3^6 - 66780631/660328370*c_1001_3^5 - 136255118/330164185*c_1001_3^4 + 30309321/660328370*c_1001_3^3 + 140313457/330164185*c_1001_3^2 - 21797459/25397245*c_1001_3 + 22055937/66032837, c_1001_3^8 + 24*c_1001_3^6 + 184*c_1001_3^5 + 296*c_1001_3^4 - 56*c_1001_3^3 - 184*c_1001_3^2 + 80*c_1001_3 + 100 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.600 seconds, Total memory usage: 32.09MB