Magma V2.19-8 Tue Aug 20 2013 17:54:49 on localhost [Seed = 745380760] Type ? for help. Type -D to quit. Loading file "10_130__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_130 geometric_solution 6.77819889 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 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 0 1 1 -2 2 0 0 -2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322913702017 1.780512838317 0 4 5 2 0132 0132 0132 1302 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 0 0 -2 0 2 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 0.049476700281 0.536335762357 6 0 1 4 0132 0132 2031 0132 0 0 0 0 0 1 -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 0 0 0 0 -1 1 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604926395598 1.199757020175 0 4 5 0 3201 1302 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 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 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280315879994 0.297603065337 7 1 2 3 0132 0132 0132 2031 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 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 0.401992818504 0.467484131224 6 3 7 1 2310 0213 1023 0132 0 0 0 0 0 0 0 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 0 0 0 2 0 0 -2 -1 0 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901600584567 0.801406195303 2 7 5 7 0132 0132 3201 2103 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 0 1 -1 -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 0.513462232403 0.336454891465 4 6 5 6 0132 0132 1023 2103 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 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303172691070 1.540163101637 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : 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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 21652/165303*c_1001_0^10 - 688963/330606*c_1001_0^9 - 239315/165303*c_1001_0^8 + 146226/18367*c_1001_0^7 - 4737125/330606*c_1001_0^6 - 19756589/330606*c_1001_0^5 - 11882483/330606*c_1001_0^4 - 5924401/165303*c_1001_0^3 - 4382971/165303*c_1001_0^2 - 438551/330606*c_1001_0 + 650063/330606, c_0011_0 - 1, c_0011_3 - 1, c_0011_5 - 14971/18367*c_1001_0^10 - 886/18367*c_1001_0^9 + 65912/18367*c_1001_0^8 - 151149/18367*c_1001_0^7 - 286745/18367*c_1001_0^6 + 36143/18367*c_1001_0^5 - 386156/18367*c_1001_0^4 + 57421/18367*c_1001_0^3 - 62205/18367*c_1001_0^2 - 8027/18367*c_1001_0 + 31896/18367, c_0101_0 + 11399/18367*c_1001_0^10 + 4825/18367*c_1001_0^9 - 49484/18367*c_1001_0^8 + 95893/18367*c_1001_0^7 + 256490/18367*c_1001_0^6 + 60662/18367*c_1001_0^5 + 292565/18367*c_1001_0^4 + 30070/18367*c_1001_0^3 + 4192/18367*c_1001_0^2 + 12100/18367*c_1001_0 - 26764/18367, c_0101_2 + 2686/18367*c_1001_0^10 + 1203/18367*c_1001_0^9 - 11839/18367*c_1001_0^8 + 21579/18367*c_1001_0^7 + 64102/18367*c_1001_0^6 + 17283/18367*c_1001_0^5 + 49305/18367*c_1001_0^4 + 12522/18367*c_1001_0^3 + 47665/18367*c_1001_0^2 + 4825/18367*c_1001_0 + 11793/18367, c_0101_5 - 53343/18367*c_1001_0^10 - 27782/18367*c_1001_0^9 + 228629/18367*c_1001_0^8 - 425563/18367*c_1001_0^7 - 1243352/18367*c_1001_0^6 - 417133/18367*c_1001_0^5 - 1384929/18367*c_1001_0^4 - 255288/18367*c_1001_0^3 - 198835/18367*c_1001_0^2 - 79473/18367*c_1001_0 + 100169/18367, c_0101_7 + 31896/18367*c_1001_0^10 + 16925/18367*c_1001_0^9 - 128470/18367*c_1001_0^8 + 257288/18367*c_1001_0^7 + 710043/18367*c_1001_0^6 + 319279/18367*c_1001_0^5 + 1024919/18367*c_1001_0^4 + 219868/18367*c_1001_0^3 + 280693/18367*c_1001_0^2 + 65379/18367*c_1001_0 - 58290/18367, c_1001_0^11 + c_1001_0^10 - 4*c_1001_0^9 + 6*c_1001_0^8 + 27*c_1001_0^7 + 19*c_1001_0^6 + 31*c_1001_0^5 + 19*c_1001_0^4 + 7*c_1001_0^3 + 4*c_1001_0^2 - c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB