Magma V2.19-8 Tue Aug 20 2013 23:50:30 on localhost [Seed = 745162497] Type ? for help. Type -D to quit. Loading file "L12n250__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n250 geometric_solution 11.28460298 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 0 1 1 0 0 0 0 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 1 0 -1 0 0 1 -1 6 -1 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437364299288 1.010807527276 0 0 5 4 0132 1302 0132 0132 0 0 1 1 0 1 -1 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 1 -1 0 0 0 0 0 -1 1 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639441624925 0.833298740071 4 0 7 6 0132 0132 0132 0132 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 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 0.842040985031 0.907522467056 6 5 7 0 0132 3120 0321 0132 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.629435790562 0.675369033559 2 7 1 8 0132 3120 0132 0132 0 0 1 1 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 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 0.617114085454 0.505294797827 6 3 9 1 1230 3120 0132 0132 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 0 0 0 0 0 0 -1 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 0 -0.026453084827 0.837346916478 3 5 2 9 0132 3012 0132 2031 1 0 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 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 0.643974482365 0.639344788968 8 4 3 2 0132 3120 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443954885424 0.480229028753 7 10 4 11 0132 0132 0132 0132 0 0 0 1 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 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 1.169909896755 0.954374300282 11 6 10 5 1023 1302 1023 0132 0 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 0 0 0 0 0 -1 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 1.169909896755 0.954374300282 11 8 9 11 0321 0132 1023 1023 0 0 1 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 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 0.518845265363 0.596528720376 10 9 8 10 0321 1023 0132 1023 0 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 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 0.518845265363 0.596528720376 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), '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' : 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' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : 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_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' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_5, c_0101_0, c_0101_10, c_0101_2, c_0101_9, c_1001_3, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 30948193/232384512*c_1100_1^6 - 166193059/3718152192*c_1100_1^5 - 6556747049/3718152192*c_1100_1^4 - 179466413/77461504*c_1100_1^3 + 13452642353/3718152192*c_1100_1^2 + 9204457355/929538048*c_1100_1 + 1385437753/232384512, c_0011_0 - 1, c_0011_10 + 146191/113469*c_1100_1^6 + 5699987/1815504*c_1100_1^5 - 2338883/1815504*c_1100_1^4 - 1780587/151292*c_1100_1^3 - 25435009/1815504*c_1100_1^2 - 1486835/226938*c_1100_1 - 364304/113469, c_0011_11 + 146191/113469*c_1100_1^6 + 5699987/1815504*c_1100_1^5 - 2338883/1815504*c_1100_1^4 - 1780587/151292*c_1100_1^3 - 25435009/1815504*c_1100_1^2 - 1486835/226938*c_1100_1 - 364304/113469, c_0011_3 - 182861/113469*c_1100_1^6 - 7378969/1815504*c_1100_1^5 + 3341869/1815504*c_1100_1^4 + 1148565/75646*c_1100_1^3 + 31436819/1815504*c_1100_1^2 + 4029827/453876*c_1100_1 + 478303/113469, c_0011_5 + 208576/113469*c_1100_1^6 + 490400/113469*c_1100_1^5 - 968123/453876*c_1100_1^4 - 2422183/151292*c_1100_1^3 - 2164804/113469*c_1100_1^2 - 4983367/453876*c_1100_1 - 539045/113469, c_0101_0 - 1, c_0101_10 + 106991/113469*c_1100_1^6 + 3012019/1815504*c_1100_1^5 - 3277639/1815504*c_1100_1^4 - 263474/37823*c_1100_1^3 - 11865521/1815504*c_1100_1^2 - 1425023/453876*c_1100_1 - 107032/113469, c_0101_2 - 25715/113469*c_1100_1^6 - 467431/1815504*c_1100_1^5 + 530623/1815504*c_1100_1^4 + 125053/151292*c_1100_1^3 + 3200045/1815504*c_1100_1^2 + 238385/113469*c_1100_1 + 60742/113469, c_0101_9 - 106991/113469*c_1100_1^6 - 3012019/1815504*c_1100_1^5 + 3277639/1815504*c_1100_1^4 + 263474/37823*c_1100_1^3 + 11865521/1815504*c_1100_1^2 + 1878899/453876*c_1100_1 + 107032/113469, c_1001_3 + 25715/113469*c_1100_1^6 + 467431/1815504*c_1100_1^5 - 530623/1815504*c_1100_1^4 - 125053/151292*c_1100_1^3 - 3200045/1815504*c_1100_1^2 - 238385/113469*c_1100_1 - 60742/113469, c_1001_4 - 44606/113469*c_1100_1^6 - 432803/907752*c_1100_1^5 + 872015/907752*c_1100_1^4 + 103075/37823*c_1100_1^3 + 1331833/907752*c_1100_1^2 - 65399/226938*c_1100_1 - 67709/113469, c_1100_1^7 + 61/16*c_1100_1^6 + 35/16*c_1100_1^5 - 43/4*c_1100_1^4 - 367/16*c_1100_1^3 - 39/2*c_1100_1^2 - 10*c_1100_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB