Magma V2.19-8 Tue Aug 20 2013 23:41:39 on localhost [Seed = 3069235739] Type ? for help. Type -D to quit. Loading file "L12n197__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n197 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 0.559384755708 1.572159484273 0 4 6 5 0132 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.572812538049 0.967480890874 7 0 7 7 0132 0132 3120 2103 1 0 1 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 0 0 0 0 -1 0 1 1 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 1.119206831891 0.911340444273 6 8 6 0 0132 0132 3012 0132 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 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 0.278137050026 0.782433871404 1 9 0 10 1023 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 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 0.205800397406 0.355756005594 6 10 1 9 2103 2310 0132 0132 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 0 0 0 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 0 0 0 0 0 1.271725791974 0.907005914851 3 3 5 1 0132 1230 2103 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636962880032 0.690409907008 2 8 2 2 0132 3201 3120 2103 1 0 1 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 0 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 1.119206831891 0.911340444273 9 3 7 9 3012 0132 2310 2310 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 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 0.548323679344 0.567340396852 8 4 5 8 3201 0132 0132 1230 1 1 1 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 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 0 0 0 0 0 0 0.548323679344 0.567340396852 10 10 4 5 1230 3012 0132 3201 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 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 0.809450352586 1.085019175746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_10']), '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' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_9' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_5']), 'c_1010_7' : negation(d['c_1001_0']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_10'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0101_9']), '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_2'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 56730593/608256*c_1001_0^4 + 80538949/152064*c_1001_0^3 - 6187001/4752*c_1001_0^2 + 934943/594*c_1001_0 - 253118/297, c_0011_0 - 1, c_0011_10 - 41/256*c_1001_0^4 + 87/64*c_1001_0^3 - 77/16*c_1001_0^2 + 8*c_1001_0 - 5, c_0011_3 + 1/2*c_1001_0, c_0011_5 - 123/256*c_1001_0^4 + 179/64*c_1001_0^3 - 49/8*c_1001_0^2 + 6*c_1001_0 - 2, c_0101_0 + 123/256*c_1001_0^4 - 179/64*c_1001_0^3 + 49/8*c_1001_0^2 - 6*c_1001_0 + 2, c_0101_1 + 123/256*c_1001_0^4 - 179/64*c_1001_0^3 + 49/8*c_1001_0^2 - 6*c_1001_0 + 2, c_0101_10 + 41/256*c_1001_0^4 - 2*c_1001_0^3 + 123/16*c_1001_0^2 - 25/2*c_1001_0 + 8, c_0101_2 - 1, c_0101_8 - c_1001_0 + 1, c_0101_9 + 1/2*c_1001_0 - 1, c_1001_0^5 - 348/41*c_1001_0^4 + 1232/41*c_1001_0^3 - 2304/41*c_1001_0^2 + 2304/41*c_1001_0 - 1024/41 ], 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 342601970743/3993778257920*c_1001_0^5 - 16311144646267/16973557596160*c_1001_0^4 + 18809850707167/4243389399040*c_1001_0^3 - 560508791453/53042367488*c_1001_0^2 + 3530714829247/265211837440*c_1001_0 - 474056009397/66302959360, c_0011_0 - 1, c_0011_10 + 17/512*c_1001_0^5 - 101/256*c_1001_0^4 + 129/64*c_1001_0^3 - 91/16*c_1001_0^2 + 17/2*c_1001_0 - 5, c_0011_3 - 1/2*c_1001_0, c_0011_5 + 187/512*c_1001_0^5 - 975/256*c_1001_0^4 + 981/64*c_1001_0^3 - 243/8*c_1001_0^2 + 61/2*c_1001_0 - 12, c_0101_0 + 85/512*c_1001_0^5 - 369/256*c_1001_0^4 + 275/64*c_1001_0^3 - 37/8*c_1001_0^2 - 1/2*c_1001_0 + 4, c_0101_1 + 51/512*c_1001_0^5 - 303/256*c_1001_0^4 + 353/64*c_1001_0^3 - 103/8*c_1001_0^2 + 31/2*c_1001_0 - 8, c_0101_10 - 51/512*c_1001_0^5 + 337/256*c_1001_0^4 - 227/32*c_1001_0^3 + 301/16*c_1001_0^2 - 25*c_1001_0 + 14, c_0101_2 - 1, c_0101_8 - c_1001_0 + 1, c_0101_9 - 1/2*c_1001_0 + 1, c_1001_0^6 - 202/17*c_1001_0^5 + 1032/17*c_1001_0^4 - 2912/17*c_1001_0^3 + 4864/17*c_1001_0^2 - 4608/17*c_1001_0 + 2048/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB