Magma V2.19-8 Wed Aug 21 2013 00:54:36 on localhost [Seed = 3835887286] Type ? for help. Type -D to quit. Loading file "L12n40__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n40 geometric_solution 12.45720798 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1230 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826150206163 1.069071899876 0 3 4 0 0132 1302 0132 3012 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 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 0.547423794586 0.585651979690 3 0 6 5 0213 0132 0132 0132 1 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 1 0 1 0 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738931273197 0.855744483637 2 4 0 1 0213 1023 0132 2031 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 1 -1 0 0 0 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.043315430435 0.641199658057 3 7 8 1 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 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 0.326150206163 1.069071899876 7 8 2 9 2310 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -2 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 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 0.391417387864 0.855135778966 7 8 10 2 0321 1023 0132 0132 1 1 1 0 0 0 0 0 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 0 1 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391417387864 0.855135778966 6 4 5 11 0321 0132 3201 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 -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 0.557452823154 0.966839840372 6 12 5 4 1023 0132 3012 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557452823154 0.966839840372 11 12 5 10 3201 1302 0132 0132 1 1 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 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 0.000000000000 1.000000000000 11 12 9 6 0213 1023 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000000 1.000000000000 10 12 7 9 0213 0213 0132 2310 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 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 0.500000000000 0.500000000000 10 8 11 9 1023 0132 0213 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 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 0.500000000000 0.500000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_12' : negation(d['c_0011_5']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(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_1100_8' : negation(d['c_1001_0']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_4'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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']), 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], '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_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_3'], 's_2_9' : negation(d['1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 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_4, c_0101_5, c_0101_6, c_0101_8, c_1001_0, c_1001_11, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 601/288*c_1001_0*c_1100_10^2 + 205/72*c_1001_0*c_1100_10 + 881/72*c_1001_0 + 65/144*c_1100_10^2 + 89/144*c_1100_10 + 191/72, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_0*c_1100_10^2 + 1/2*c_1001_0*c_1100_10 + 3*c_1001_0, c_0011_11 + 1/4*c_1001_0*c_1100_10^2 + 1/2*c_1001_0*c_1100_10 + 2*c_1001_0 + 1/2*c_1100_10, c_0011_3 + c_1001_0, c_0011_5 - 1, c_0101_0 + 3/4*c_1001_0*c_1100_10^2 + c_1001_0*c_1100_10 + 4*c_1001_0, c_0101_4 + 1/4*c_1100_10^2 + 1/2*c_1100_10, c_0101_5 + 1/4*c_1100_10^2 + 1/2*c_1100_10, c_0101_6 + 1/2*c_1001_0*c_1100_10^2 + 1/2*c_1001_0*c_1100_10 + 3*c_1001_0, c_0101_8 - 1, c_1001_0^2 + 3/2*c_1100_10 - 2, c_1001_11 + c_1100_10, c_1100_10^3 + 4*c_1100_10 - 8 ], Ideal of Polynomial ring of rank 14 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_4, c_0101_5, c_0101_6, c_0101_8, c_1001_0, c_1001_11, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1/128*c_1001_0*c_1100_10^3 + 1/32*c_1001_0*c_1100_10^2 - 1/32*c_1001_0*c_1100_10 - 1/16*c_1001_0 - 1/32*c_1100_10^3 + 1/16*c_1100_10^2 + 1/16*c_1100_10 - 1/8, c_0011_0 - 1, c_0011_10 + 1/4*c_1001_0*c_1100_10^3 - 1/2*c_1001_0*c_1100_10^2 - 1/2*c_1001_0*c_1100_10 + c_1001_0, c_0011_11 + 1/8*c_1001_0*c_1100_10^3 - 1/4*c_1001_0*c_1100_10^2 + c_1001_0 - 1/2*c_1100_10, c_0011_3 + c_1001_0, c_0011_5 - 1, c_0101_0 - 1/4*c_1001_0*c_1100_10^3 + 3/4*c_1001_0*c_1100_10^2 - 2*c_1001_0, c_0101_4 + 1/4*c_1100_10^3 - 3/4*c_1100_10^2 - 1/2*c_1100_10 + 2, c_0101_5 + 1/4*c_1100_10^3 - 3/4*c_1100_10^2 - 1/2*c_1100_10 + 2, c_0101_6 - 1/4*c_1001_0*c_1100_10^3 + 1/2*c_1001_0*c_1100_10^2 + 1/2*c_1001_0*c_1100_10 - c_1001_0, c_0101_8 + 1, c_1001_0^2 - 1/2*c_1100_10^3 + c_1100_10^2 + 3/2*c_1100_10 - 2, c_1001_11 + c_1100_10, c_1100_10^4 - c_1100_10^3 - 4*c_1100_10^2 + 4*c_1100_10 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB