Magma V2.19-8 Tue Aug 20 2013 17:56:05 on localhost [Seed = 1393747092] Type ? for help. Type -D to quit. Loading file "10^2_103__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_103 geometric_solution 11.08216662 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 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 -1 1 0 0 0 0 1 0 0 -1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 0 3 5 2 0132 0132 0132 1023 1 1 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 1 0 -1 0 0 0 0 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891621714024 1.954093392513 5 0 6 1 0132 0132 0132 1023 1 1 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 -1 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 5 1 7 0 1023 0132 0132 0132 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 6 7 0 8 0132 1023 0132 0132 1 1 0 0 0 1 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 0 0 0 -1 -1 2 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630540571341 0.651364464171 2 3 9 1 0132 1023 0132 0132 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232785615938 0.792551992515 4 10 11 2 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 4 9 10 3 1023 1023 1023 0132 1 1 0 0 0 0 0 0 -1 0 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 1 0 -1 0 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630540571341 0.651364464171 11 9 4 10 0132 0132 0132 1023 1 1 0 0 0 -1 1 0 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 2 -2 0 -1 0 0 1 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 7 8 11 5 1023 0132 1023 0132 1 1 0 0 0 1 -1 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 -2 2 0 0 0 0 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 11 6 7 8 1023 0132 1023 1023 1 1 0 0 0 0 -1 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 0 0 0 0 1 -1 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658836098086 1.161541399997 8 10 9 6 0132 1023 1023 0132 1 1 0 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 1 0 -2 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342765175582 0.170058978609 ==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' : d['c_0101_7'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : 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_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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_1100_1']), 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], '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' : 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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_10'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], '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_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], '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' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 138434011852/1379418391*c_1100_1^7 - 2839647128/33644351*c_1100_1^6 - 410396764679/1379418391*c_1100_1^5 - 969496710700/1379418391*c_1100_1^4 - 12420533314/106109107*c_1100_1^3 + 5600324898066/1379418391*c_1100_1^2 - 5747506993625/1379418391*c_1100_1 + 1711143987314/1379418391, c_0011_0 - 1, c_0011_10 + 2202328/199079*c_1100_1^7 + 1886708/199079*c_1100_1^6 + 6546654/199079*c_1100_1^5 + 15480713/199079*c_1100_1^4 + 2702750/199079*c_1100_1^3 - 89321841/199079*c_1100_1^2 + 89660250/199079*c_1100_1 - 25813439/199079, c_0101_0 - 1, c_0101_1 + 5736/199079*c_1100_1^7 + 4428/199079*c_1100_1^6 + 22988/199079*c_1100_1^5 + 42725/199079*c_1100_1^4 + 49789/398158*c_1100_1^3 - 289801/398158*c_1100_1^2 + 256863/199079*c_1100_1 - 484121/398158, c_0101_10 - 2640990/199079*c_1100_1^7 - 2309470/199079*c_1100_1^6 - 15874935/398158*c_1100_1^5 - 37565233/398158*c_1100_1^4 - 7566837/398158*c_1100_1^3 + 106588578/199079*c_1100_1^2 - 105978500/199079*c_1100_1 + 60908963/398158, c_0101_11 + 3906/227*c_1100_1^7 + 3248/227*c_1100_1^6 + 23021/454*c_1100_1^5 + 27181/227*c_1100_1^4 + 4119/227*c_1100_1^3 - 158442/227*c_1100_1^2 + 326609/454*c_1100_1 - 97143/454, c_0101_3 + 123042/199079*c_1100_1^7 + 127470/199079*c_1100_1^6 + 828793/398158*c_1100_1^5 + 1969997/398158*c_1100_1^4 + 905379/398158*c_1100_1^3 - 4560410/199079*c_1100_1^2 + 4553056/199079*c_1100_1 - 2802931/398158, c_0101_5 + 5736/199079*c_1100_1^7 + 4428/199079*c_1100_1^6 + 22988/199079*c_1100_1^5 + 42725/199079*c_1100_1^4 + 49789/398158*c_1100_1^3 - 289801/398158*c_1100_1^2 + 256863/199079*c_1100_1 - 484121/398158, c_0101_6 - 2640990/199079*c_1100_1^7 - 2309470/199079*c_1100_1^6 - 15874935/398158*c_1100_1^5 - 37565233/398158*c_1100_1^4 - 7566837/398158*c_1100_1^3 + 106588578/199079*c_1100_1^2 - 105978500/199079*c_1100_1 + 60908963/398158, c_0101_7 + 123042/199079*c_1100_1^7 + 127470/199079*c_1100_1^6 + 828793/398158*c_1100_1^5 + 1969997/398158*c_1100_1^4 + 905379/398158*c_1100_1^3 - 4560410/199079*c_1100_1^2 + 4553056/199079*c_1100_1 - 2802931/398158, c_1100_0 + 117306/199079*c_1100_1^7 + 123042/199079*c_1100_1^6 + 782817/398158*c_1100_1^5 + 1884547/398158*c_1100_1^4 + 427795/199079*c_1100_1^3 - 8831019/398158*c_1100_1^2 + 4296193/199079*c_1100_1 - 1159405/199079, c_1100_1^8 + 9/4*c_1100_1^6 + 9/2*c_1100_1^5 - 19/4*c_1100_1^4 - 83/2*c_1100_1^3 + 151/2*c_1100_1^2 - 47*c_1100_1 + 41/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB