Magma V2.19-8 Tue Aug 20 2013 23:41:05 on localhost [Seed = 643842724] Type ? for help. Type -D to quit. Loading file "L12a1393__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1393 geometric_solution 10.06259194 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544650704242 0.298160202948 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.587318565967 0.773349561089 1 5 0 6 1230 0132 0132 0132 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 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 0.587318565967 0.773349561089 1 7 5 7 0132 0132 1230 0213 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 -1 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492193862439 1.204145584325 8 9 6 1 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.507806137561 1.204145584325 10 2 10 3 0132 0132 3120 3012 0 1 0 0 0 0 0 0 -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 0 -1 0 1 -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 0.492193862439 1.204145584325 8 9 2 4 1023 1023 0132 0132 0 0 1 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 -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 -0.507806137561 1.204145584325 8 3 8 3 2103 0132 2031 0213 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 1 -1 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 0.492193862439 1.204145584325 4 6 7 7 0132 1023 2103 1302 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 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 0.297339342221 0.705071934934 6 4 10 10 1023 0132 3012 0213 0 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 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 0.297339342221 0.705071934934 5 9 5 9 0132 1230 3120 0213 0 1 0 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 0 0 0 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 0.492193862439 1.204145584325 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_1'], 'c_1010_10' : d['c_0101_9'], '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' : 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_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0101_4'], 'c_1100_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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_10'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_4']})} 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_1, c_0011_10, c_0011_4, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 41/5*c_1100_0 + 48, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 - 1, c_0011_4 + 1, c_0101_1 - 1/3*c_1100_0 - 2/3, c_0101_10 - 1, c_0101_2 + 1/3*c_1100_0 + 2/3, c_0101_4 - 1/3*c_1100_0 + 1/3, c_0101_5 + 1/3*c_1100_0 - 1/3, c_0101_9 + 1/3*c_1100_0 + 2/3, c_1100_0^2 - 5*c_1100_0 - 5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_4, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/3*c_1100_0, c_0011_0 - 1, c_0011_1 + 1, c_0011_10 + 1, c_0011_4 + 1, c_0101_1 + c_1100_0 + 2, c_0101_10 - 1, c_0101_2 + c_1100_0 + 2, c_0101_4 + c_1100_0 + 1, c_0101_5 - c_1100_0 - 1, c_0101_9 - c_1100_0 - 2, c_1100_0^2 + 3*c_1100_0 + 3 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_4, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1995/106*c_1100_0^4 - 8935/106*c_1100_0^3 + 123*c_1100_0^2 + 1859/106*c_1100_0 - 2253/106, c_0011_0 - 1, c_0011_1 - 1/2*c_0101_9*c_1100_0^4 + 2*c_0101_9*c_1100_0^3 - 2*c_0101_9*c_1100_0^2 - 5/2*c_0101_9*c_1100_0 + 1/2*c_1100_0^2 - 1/2*c_1100_0 + 1/2, c_0011_10 + 1/2*c_0101_9*c_1100_0^4 - 2*c_0101_9*c_1100_0^3 + 2*c_0101_9*c_1100_0^2 + 5/2*c_0101_9*c_1100_0 + 1/2*c_1100_0^4 - 5/2*c_1100_0^3 + 9/2*c_1100_0^2 - 2*c_1100_0, c_0011_4 + 1, c_0101_1 - c_0101_9 + c_1100_0^2 - 2*c_1100_0 + 1, c_0101_10 - 1, c_0101_2 - 1/2*c_1100_0^3 + 2*c_1100_0^2 - 2*c_1100_0 - 1/2, c_0101_4 + 1/2*c_0101_9*c_1100_0^4 - 2*c_0101_9*c_1100_0^3 + 2*c_0101_9*c_1100_0^2 + 5/2*c_0101_9*c_1100_0 - c_0101_9 + 1/2*c_1100_0^2 - 3/2*c_1100_0 + 1/2, c_0101_5 + 1/2*c_0101_9*c_1100_0^4 - 2*c_0101_9*c_1100_0^3 + 2*c_0101_9*c_1100_0^2 + 5/2*c_0101_9*c_1100_0 - c_0101_9 + 1/2*c_1100_0^4 - 5/2*c_1100_0^3 + 9/2*c_1100_0^2 - 2*c_1100_0, c_0101_9^2 - c_0101_9*c_1100_0^2 + 2*c_0101_9*c_1100_0 - c_0101_9 + 1/4*c_1100_0^4 - 3/2*c_1100_0^3 + 11/4*c_1100_0^2 - 3/2*c_1100_0 + 1/4, c_1100_0^5 - 5*c_1100_0^4 + 9*c_1100_0^3 - 3*c_1100_0^2 - c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB