Magma V2.19-8 Tue Aug 20 2013 23:52:40 on localhost [Seed = 2295259998] Type ? for help. Type -D to quit. Loading file "L13n3190__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3190 geometric_solution 11.43437347 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 1 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 0.835261484291 0.504719921390 0 2 6 5 0132 1230 0132 0132 1 1 1 1 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 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.023144449686 0.993130845321 4 0 1 7 1230 0132 3012 0132 1 1 1 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 0 0 0 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 0.976046962106 0.769147283168 6 8 9 0 2310 0132 0132 0132 1 1 1 1 0 -1 1 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 -1 2 -1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601228759573 0.847780691621 10 2 0 6 0132 3012 0132 2031 1 1 1 1 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 1 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722365441411 0.615885481990 11 11 1 8 0132 1230 0132 2310 1 1 0 1 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 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536026891183 1.367779831624 11 4 3 1 3201 1302 3201 0132 1 1 1 1 0 0 0 0 -1 0 0 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 0 0 0 -1 0 0 1 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111677189404 0.758693679707 8 8 2 9 3012 0213 0132 0132 1 1 0 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 0 0 0 0 0 0 0 1 0 0 -1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 5 3 7 7 3201 0132 0213 1230 1 0 1 1 0 1 0 -1 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 0 -1 1 0 -2 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 10 10 7 3 2310 3120 0132 0132 1 1 1 0 0 1 0 -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 0 2 0 -2 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 0.542511473266 0.575920467412 4 9 9 11 0132 3120 3201 3201 0 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845666033830 1.064587085833 5 10 5 6 0132 2310 3012 2310 1 1 1 0 0 0 1 -1 1 0 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 1 -1 2 0 0 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751626271799 0.633775248456 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), '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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_6']), '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_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_9'], '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_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 61556072161677/13953060134*c_1001_1^7 - 11829680555168903/544169345226*c_1001_1^6 + 23533126806737981/544169345226*c_1001_1^5 - 11727497717029834/272084672613*c_1001_1^4 + 13228076589483823/544169345226*c_1001_1^3 - 4494612940138181/544169345226*c_1001_1^2 + 427050508163989/272084672613*c_1001_1 - 42616026114925/544169345226, c_0011_0 - 1, c_0011_10 + 70317/643*c_1001_1^7 - 330126/643*c_1001_1^6 + 640952/643*c_1001_1^5 - 663854/643*c_1001_1^4 + 450224/643*c_1001_1^3 - 200701/643*c_1001_1^2 + 53260/643*c_1001_1 - 7293/643, c_0011_11 + 1, c_0011_3 + 47151/643*c_1001_1^7 - 214175/643*c_1001_1^6 + 397980/643*c_1001_1^5 - 390328/643*c_1001_1^4 + 253775/643*c_1001_1^3 - 106397/643*c_1001_1^2 + 26475/643*c_1001_1 - 3278/643, c_0011_6 + 13715/643*c_1001_1^7 - 61784/643*c_1001_1^6 + 113131/643*c_1001_1^5 - 106765/643*c_1001_1^4 + 64090/643*c_1001_1^3 - 23450/643*c_1001_1^2 + 5256/643*c_1001_1 - 63/643, c_0011_7 - 32851/643*c_1001_1^7 + 147141/643*c_1001_1^6 - 266938/643*c_1001_1^5 + 250650/643*c_1001_1^4 - 155682/643*c_1001_1^3 + 63315/643*c_1001_1^2 - 13934/643*c_1001_1 + 1649/643, c_0101_0 - 40313/643*c_1001_1^7 + 183458/643*c_1001_1^6 - 340897/643*c_1001_1^5 + 332127/643*c_1001_1^4 - 212554/643*c_1001_1^3 + 88382/643*c_1001_1^2 - 21625/643*c_1001_1 + 2720/643, c_0101_1 - 208/643*c_1001_1^7 + 4653/643*c_1001_1^6 - 17628/643*c_1001_1^5 + 29192/643*c_1001_1^4 - 25793/643*c_1001_1^3 + 16068/643*c_1001_1^2 - 6091/643*c_1001_1 + 1457/643, c_0101_10 + 59735/643*c_1001_1^7 - 274168/643*c_1001_1^6 + 518621/643*c_1001_1^5 - 521938/643*c_1001_1^4 + 349176/643*c_1001_1^3 - 153234/643*c_1001_1^2 + 40366/643*c_1001_1 - 5586/643, c_0101_9 - 12272/643*c_1001_1^7 + 65552/643*c_1001_1^6 - 148211/643*c_1001_1^5 + 184272/643*c_1001_1^4 - 145124/643*c_1001_1^3 + 74818/643*c_1001_1^2 - 23080/643*c_1001_1 + 3659/643, c_1001_0 - 45955/643*c_1001_1^7 + 214587/643*c_1001_1^6 - 413645/643*c_1001_1^5 + 423090/643*c_1001_1^4 - 280522/643*c_1001_1^3 + 120101/643*c_1001_1^2 - 29871/643*c_1001_1 + 3420/643, c_1001_1^8 - 69/13*c_1001_1^7 + 12*c_1001_1^6 - 196/13*c_1001_1^5 + 160/13*c_1001_1^4 - 90/13*c_1001_1^3 + 34/13*c_1001_1^2 - 8/13*c_1001_1 + 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB