Magma V2.19-8 Tue Aug 20 2013 23:42:31 on localhost [Seed = 4256929941] Type ? for help. Type -D to quit. Loading file "L13n3877__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3877 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 0132 2031 1 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 0 0 0 0 1 0 -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 0.664325046879 0.599096739481 0 4 6 5 0132 0132 0132 0132 1 1 1 0 0 -1 1 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 8 -8 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 0.438348770759 1.669458422811 5 0 6 7 0132 0132 1023 0132 1 1 1 0 0 0 0 0 1 0 -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 -1 0 1 -8 0 8 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 0.169847584353 0.748641960473 7 0 8 0 0132 1302 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664325046879 0.599096739481 9 1 10 10 0132 0132 0132 2310 1 0 0 1 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 -8 7 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 0.364769103508 0.406792058678 2 9 1 7 0132 0132 0132 1023 1 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 0 0 0 0 0 0 0 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895193003509 1.482309368110 8 10 2 1 1023 0213 1023 0132 1 1 0 0 0 0 1 -1 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 -8 8 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 0.181029282596 0.538093473085 3 8 2 5 0132 1230 0132 1023 1 1 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 0 0 0 0 0 0 0 0 -7 -1 8 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 0.169847584353 0.748641960473 9 6 7 3 2031 1023 3012 0132 1 1 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 -7 0 7 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 0.701464167424 0.494331903410 4 5 8 10 0132 0132 1302 0321 1 0 1 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 0 7 -7 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 0.466413116643 0.759956600909 4 9 6 4 3201 0321 0213 0132 1 0 1 0 0 -1 0 1 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 7 0 -7 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 1.116402548659 0.714926955837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : d['c_1001_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_0011_6'], '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_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_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_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' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1'], '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' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : 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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), '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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 24740/963*c_1100_1^9 - 31820/963*c_1100_1^8 - 18752/321*c_1100_1^7 + 137009/1926*c_1100_1^6 + 40454/963*c_1100_1^5 - 22963/963*c_1100_1^4 - 7763/642*c_1100_1^3 - 82039/1926*c_1100_1^2 + 19507/1926*c_1100_1 + 52981/1926, c_0011_0 - 1, c_0011_10 - 16/107*c_1100_1^9 - 18/107*c_1100_1^8 + 61/107*c_1100_1^7 + 45/214*c_1100_1^6 - 187/107*c_1100_1^5 + 8/107*c_1100_1^4 + 593/214*c_1100_1^3 + 21/214*c_1100_1^2 - 437/214*c_1100_1 - 53/214, c_0011_3 - 84/107*c_1100_1^9 + 280/107*c_1100_1^8 + 26/107*c_1100_1^7 - 1235/214*c_1100_1^6 + 222/107*c_1100_1^5 + 256/107*c_1100_1^4 + 37/214*c_1100_1^3 + 351/214*c_1100_1^2 - 395/214*c_1100_1 - 91/214, c_0011_6 - 178/107*c_1100_1^9 + 415/107*c_1100_1^8 + 207/214*c_1100_1^7 - 1519/214*c_1100_1^6 + 394/107*c_1100_1^5 + 285/214*c_1100_1^4 - 413/107*c_1100_1^3 + 284/107*c_1100_1^2 - 30/107*c_1100_1 + 39/214, c_0101_0 - 1, c_0101_1 - 154/107*c_1100_1^9 + 121/107*c_1100_1^8 + 773/214*c_1100_1^7 - 285/107*c_1100_1^6 - 235/107*c_1100_1^5 + 47/214*c_1100_1^4 - 57/214*c_1100_1^3 + 269/214*c_1100_1^2 + 7/214*c_1100_1 - 21/107, c_0101_2 + 1, c_0101_3 + 194/107*c_1100_1^9 - 397/107*c_1100_1^8 - 329/214*c_1100_1^7 + 737/107*c_1100_1^6 - 207/107*c_1100_1^5 - 301/214*c_1100_1^4 + 233/214*c_1100_1^3 - 589/214*c_1100_1^2 + 69/214*c_1100_1 + 7/107, c_1001_0 + 84/107*c_1100_1^9 - 280/107*c_1100_1^8 - 26/107*c_1100_1^7 + 1235/214*c_1100_1^6 - 222/107*c_1100_1^5 - 256/107*c_1100_1^4 - 37/214*c_1100_1^3 - 351/214*c_1100_1^2 + 609/214*c_1100_1 + 91/214, c_1001_4 - 194/107*c_1100_1^9 + 397/107*c_1100_1^8 + 329/214*c_1100_1^7 - 737/107*c_1100_1^6 + 207/107*c_1100_1^5 + 301/214*c_1100_1^4 - 233/214*c_1100_1^3 + 589/214*c_1100_1^2 - 283/214*c_1100_1 - 7/107, c_1100_1^10 - 3/2*c_1100_1^9 - 7/4*c_1100_1^8 + 11/4*c_1100_1^7 + 3/4*c_1100_1^6 - 1/4*c_1100_1^5 - 1/2*c_1100_1^4 - 7/4*c_1100_1^3 + 3/4*c_1100_1^2 + 1/2*c_1100_1 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB