Magma V2.19-8 Tue Aug 20 2013 17:56:01 on localhost [Seed = 2118109570] Type ? for help. Type -D to quit. Loading file "10^3_63__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_63 geometric_solution 10.32194068 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 1 2 2 0 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 -3 2 1 -1 0 2 -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 0.855391790076 0.708327445953 0 5 3 6 0132 0132 3120 0132 1 1 2 2 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 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 0.343451499732 0.467096341078 2 0 2 4 2310 0132 3201 2031 2 2 2 2 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.922450060598 0.687100062234 7 8 1 0 0132 0132 3120 0132 2 1 2 1 0 -1 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 0 0 0 0 2 0 -2 2 0 0 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814709987391 0.760573023765 8 2 0 6 2103 1302 0132 2031 2 1 2 2 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 1 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306489444678 0.574277852666 9 1 10 10 0132 0132 0132 3120 1 0 2 2 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 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867568704800 1.034599809278 9 4 1 8 1023 1302 0132 1230 1 1 2 2 0 0 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 1 -1 0 0 0 1 -1 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343451499732 0.467096341078 3 9 9 10 0132 1302 1023 1302 0 1 1 2 0 -1 1 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 1 0 -1 -2 0 0 2 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121727233636 0.950975919351 6 3 4 10 3012 0132 2103 2031 2 1 1 2 0 1 0 -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 -2 0 2 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344151946836 0.612267364640 5 6 7 7 0132 1023 1023 2031 1 0 2 2 0 0 0 0 0 0 -1 1 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 0 0 0 1 0 0 -1 -2 -1 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867568704800 1.034599809278 5 8 7 5 3120 1302 2031 0132 1 0 2 1 0 0 0 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 1 -1 0 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121727233636 0.950975919351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : d['c_0110_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_0_8' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_0']), '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_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_0'], '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' : d['c_0101_5'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 50933/115612*c_0101_3^6 + 210149/115612*c_0101_3^5 - 116345/115612*c_0101_3^4 + 143371/28903*c_0101_3^3 + 1790739/57806*c_0101_3^2 + 556813/16516*c_0101_3 + 282357/28903, c_0011_0 - 1, c_0011_10 - 255/4129*c_0101_3^6 + 4975/16516*c_0101_3^5 - 6547/16516*c_0101_3^4 + 18855/16516*c_0101_3^3 + 53629/16516*c_0101_3^2 + 13221/4129*c_0101_3 + 2643/4129, c_0011_3 + 255/4129*c_0101_3^6 - 4975/16516*c_0101_3^5 + 6547/16516*c_0101_3^4 - 18855/16516*c_0101_3^3 - 53629/16516*c_0101_3^2 - 13221/4129*c_0101_3 - 2643/4129, c_0011_4 - 3989/33032*c_0101_3^6 + 10143/16516*c_0101_3^5 - 14407/16516*c_0101_3^4 + 9240/4129*c_0101_3^3 + 207671/33032*c_0101_3^2 + 51505/16516*c_0101_3 - 2003/4129, c_0101_0 - 1, c_0101_1 - 255/4129*c_0101_3^6 + 4975/16516*c_0101_3^5 - 6547/16516*c_0101_3^4 + 18855/16516*c_0101_3^3 + 53629/16516*c_0101_3^2 + 9092/4129*c_0101_3 + 2643/4129, c_0101_10 + 255/4129*c_0101_3^6 - 4975/16516*c_0101_3^5 + 6547/16516*c_0101_3^4 - 18855/16516*c_0101_3^3 - 53629/16516*c_0101_3^2 - 13221/4129*c_0101_3 - 6772/4129, c_0101_2 - 311/33032*c_0101_3^6 + 96/4129*c_0101_3^5 + 769/8258*c_0101_3^4 - 3653/16516*c_0101_3^3 + 43267/33032*c_0101_3^2 + 12847/16516*c_0101_3 + 409/4129, c_0101_3^7 - 4*c_0101_3^6 + 2*c_0101_3^5 - 12*c_0101_3^4 - 71*c_0101_3^3 - 88*c_0101_3^2 - 48*c_0101_3 - 16, c_0101_5 - 1, c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB