Magma V2.19-8 Tue Aug 20 2013 23:56:09 on localhost [Seed = 3103707285] Type ? for help. Type -D to quit. Loading file "L14n15027__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15027 geometric_solution 11.39034869 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 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 1 0 -1 0 0 0 0 11 0 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 -1 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 -1 1 0 0 0 0 -11 12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528942970475 0.893423583918 6 0 9 8 3012 0132 0132 0132 1 0 1 1 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 -1 0 1 -1 0 0 1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 10 5 9 0 0132 1230 0321 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 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 0.740760118027 0.852065010544 8 6 0 5 3012 2103 0132 2103 1 1 0 1 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 11 1 -12 0 0 0 0 -1 1 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 11 1 3 4 0132 0132 3012 2103 0 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 0 0 0 0 0 0 0 0 -12 0 12 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378563278342 0.696691947788 11 4 1 2 1230 2103 0132 1230 0 1 1 1 0 0 -1 1 0 0 0 0 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 -1 0 1 1 0 -1 0 0 -11 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544311674927 1.022518612191 8 9 10 1 1023 1023 2031 0132 0 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 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 0.288862902224 0.382443303667 10 7 2 4 1230 1023 0132 1230 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 0 0 0 0 0 0 0 1 -1 0 0 0 -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 0.615076664623 1.397447610513 7 11 3 2 1023 3201 0321 0132 1 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666261766224 1.193134199123 3 8 11 7 0132 3012 1230 1302 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645919985017 0.306368286847 5 6 9 10 0132 3012 2310 3012 1 1 1 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 0 0 0 0 11 -11 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 0.615076664623 1.397447610513 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0110_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : negation(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' : 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_7'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_3']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 159632257/71526672*c_0110_4^8 + 1531566779/71526672*c_0110_4^7 + 6465098875/71526672*c_0110_4^6 + 5314259705/23842224*c_0110_4^5 + 3305569577/17881668*c_0110_4^4 + 7860619979/71526672*c_0110_4^3 - 802419599/23842224*c_0110_4^2 - 140390869/851508*c_0110_4 - 5133842443/71526672, c_0011_0 - 1, c_0011_10 + 17/218*c_0110_4^8 + 329/218*c_0110_4^7 + 705/109*c_0110_4^6 + 4325/218*c_0110_4^5 + 1454/109*c_0110_4^4 + 1059/109*c_0110_4^3 - 300/109*c_0110_4^2 - 3403/218*c_0110_4 - 504/109, c_0011_6 + 277/109*c_0110_4^8 + 2803/218*c_0110_4^7 + 10409/218*c_0110_4^6 + 5476/109*c_0110_4^5 + 6701/218*c_0110_4^4 + 862/109*c_0110_4^3 - 4397/109*c_0110_4^2 - 2539/109*c_0110_4 - 835/218, c_0011_7 - 160/109*c_0110_4^8 - 769/109*c_0110_4^7 - 2922/109*c_0110_4^6 - 2838/109*c_0110_4^5 - 2729/109*c_0110_4^4 + 77/109*c_0110_4^3 + 1691/109*c_0110_4^2 + 1925/109*c_0110_4 + 408/109, c_0101_0 - 227/218*c_0110_4^8 - 623/218*c_0110_4^7 - 1008/109*c_0110_4^6 + 3763/218*c_0110_4^5 + 846/109*c_0110_4^4 + 1972/109*c_0110_4^3 + 800/109*c_0110_4^2 - 3533/218*c_0110_4 - 618/109, c_0101_1 - 831/218*c_0110_4^8 - 3605/218*c_0110_4^7 - 6635/109*c_0110_4^6 - 7817/218*c_0110_4^5 - 3963/109*c_0110_4^4 + 1432/109*c_0110_4^3 + 4470/109*c_0110_4^2 + 3039/218*c_0110_4 + 163/109, c_0101_11 - 553/218*c_0110_4^8 - 1379/109*c_0110_4^7 - 10185/218*c_0110_4^6 - 10159/218*c_0110_4^5 - 5799/218*c_0110_4^4 - 524/109*c_0110_4^3 + 4514/109*c_0110_4^2 + 4211/218*c_0110_4 + 391/218, c_0101_2 - 1, c_0101_3 - 249/109*c_0110_4^8 - 2027/218*c_0110_4^7 - 7239/218*c_0110_4^6 - 1039/109*c_0110_4^5 - 1751/218*c_0110_4^4 + 1389/109*c_0110_4^3 + 3101/109*c_0110_4^2 - 373/109*c_0110_4 - 921/218, c_0101_5 + 122/109*c_0110_4^8 + 476/109*c_0110_4^7 + 1713/109*c_0110_4^6 + 281/109*c_0110_4^5 + 608/109*c_0110_4^4 - 913/109*c_0110_4^3 - 1100/109*c_0110_4^2 + 174/109*c_0110_4 + 114/109, c_0101_8 - 29/109*c_0110_4^8 - 539/218*c_0110_4^7 - 2201/218*c_0110_4^6 - 2614/109*c_0110_4^5 - 3593/218*c_0110_4^4 - 1183/109*c_0110_4^3 + 735/109*c_0110_4^2 + 1926/109*c_0110_4 + 1009/218, c_0110_4^9 + 4*c_0110_4^8 + 14*c_0110_4^7 + 2*c_0110_4^6 - c_0110_4^5 - 9*c_0110_4^4 - 14*c_0110_4^3 + 3*c_0110_4^2 + 5*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB