Magma V2.19-8 Tue Aug 20 2013 23:55:38 on localhost [Seed = 711737953] Type ? for help. Type -D to quit. Loading file "L14n12379__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12379 geometric_solution 10.78950530 oriented_manifold CS_known 0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -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 1 0 -1 0 0 0 0 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626687573948 0.902064484010 0 4 2 5 0132 1302 2031 0132 1 1 1 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 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480555679143 0.747696767488 6 0 7 1 0132 0132 0132 1302 1 0 1 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 -1 1 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 0.738429069910 0.910028781413 6 7 8 0 2031 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 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 0.932270983795 0.910889560369 9 8 0 1 0132 0132 0132 2031 1 1 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 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 -0.261570930090 0.910028781413 6 8 1 7 1023 1230 0132 3012 1 1 0 1 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 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 1.391689518751 0.946470513616 2 5 3 9 0132 1023 1302 1023 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216139751305 0.746183208986 10 3 5 2 0132 0132 1230 0132 1 0 0 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 1 -1 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 0.969932777621 0.829770679777 10 4 5 3 3201 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450479141230 1.007374471026 4 11 10 6 0132 0132 0213 1023 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.206115806482 0.709447636126 7 9 11 8 0132 0213 3201 2310 0 0 1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510643676343 0.432957300209 10 9 11 11 2310 0132 1230 3012 0 0 0 0 0 0 0 0 -1 0 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 -1 1 -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 1.447788182561 1.283751443637 ==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_0101_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_0']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_1001_5']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_1001_0, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 18753593262464/9836074625*c_1001_5^9 + 22626387330016/9836074625*c_1001_5^8 + 13433478125712/9836074625*c_1001_5^7 - 8335904776/4628741*c_1001_5^6 - 4621993650468/9836074625*c_1001_5^5 + 5744473703588/9836074625*c_1001_5^4 - 206393787428/1967214925*c_1001_5^3 - 1019561352013/19672149250*c_1001_5^2 + 1886809998329/39344298500*c_1001_5 + 160458057871/7868859700, c_0011_0 - 1, c_0011_10 - 384*c_1001_5^9 + 448*c_1001_5^8 + 288*c_1001_5^7 - 352*c_1001_5^6 - 96*c_1001_5^5 + 116*c_1001_5^4 - 24*c_1001_5^3 - 12*c_1001_5^2 + 10*c_1001_5 + 9/2, c_0011_11 + 128*c_1001_5^9 - 128*c_1001_5^8 + 32*c_1001_5^6 - 40*c_1001_5^5 + 4*c_1001_5^4 + 12*c_1001_5^3 - 8*c_1001_5^2 + 7*c_1001_5 + 3/2, c_0101_0 - 1, c_0101_1 - 256*c_1001_5^9 + 384*c_1001_5^8 + 128*c_1001_5^7 - 288*c_1001_5^6 - 32*c_1001_5^5 + 80*c_1001_5^4 - 24*c_1001_5^3 + 8*c_1001_5 + 3, c_0101_10 - 64*c_1001_5^8 + 64*c_1001_5^7 + 48*c_1001_5^6 - 40*c_1001_5^5 - 12*c_1001_5^4 + 12*c_1001_5^3 - 6*c_1001_5^2 - c_1001_5 + 1/2, c_0101_11 - 256*c_1001_5^9 + 384*c_1001_5^8 + 96*c_1001_5^7 - 272*c_1001_5^6 + 76*c_1001_5^4 - 32*c_1001_5^3 + 2*c_1001_5^2 + 4*c_1001_5 + 3/2, c_0101_3 - 384*c_1001_5^9 + 384*c_1001_5^8 + 320*c_1001_5^7 - 288*c_1001_5^6 - 120*c_1001_5^5 + 100*c_1001_5^4 - 12*c_1001_5^3 - 16*c_1001_5^2 + 7*c_1001_5 + 9/2, c_0101_7 - 128*c_1001_5^9 + 64*c_1001_5^8 + 96*c_1001_5^7 - 32*c_1001_5^6 + 12*c_1001_5^4 - 16*c_1001_5^3 - 4*c_1001_5^2 - 1/2, c_1001_0 + 256*c_1001_5^9 - 256*c_1001_5^8 - 192*c_1001_5^7 + 192*c_1001_5^6 + 48*c_1001_5^5 - 64*c_1001_5^4 + 20*c_1001_5^3 + 8*c_1001_5^2 - 5*c_1001_5 - 2, c_1001_2 - 384*c_1001_5^9 + 448*c_1001_5^8 + 256*c_1001_5^7 - 336*c_1001_5^6 - 80*c_1001_5^5 + 112*c_1001_5^4 - 24*c_1001_5^3 - 10*c_1001_5^2 + 8*c_1001_5 + 4, c_1001_5^10 - 2*c_1001_5^9 + 1/4*c_1001_5^8 + 3/2*c_1001_5^7 - 1/2*c_1001_5^6 - 1/2*c_1001_5^5 + 19/64*c_1001_5^4 - 1/64*c_1001_5^3 - 3/64*c_1001_5^2 + 1/128*c_1001_5 + 5/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB