Magma V2.19-8 Wed Aug 21 2013 00:53:03 on localhost [Seed = 4190104703] Type ? for help. Type -D to quit. Loading file "L12n1204__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1204 geometric_solution 11.86892777 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 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 -1 1 1 0 -5 4 -1 1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.188305373961 1.196881606877 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.164517077060 0.841512767036 8 0 9 4 0132 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 -1 1 -4 5 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388115528022 0.572294458939 10 11 12 0 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 -5 5 1 4 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457308924485 0.867702476395 11 9 0 2 3201 0132 0132 2103 0 1 0 1 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 -1 1 5 0 -4 -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 0.388115528022 0.572294458939 11 1 12 7 0213 0132 2103 3120 1 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047576593802 0.710737679681 10 9 1 7 2103 1023 0132 3201 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 -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 1.164517077060 0.841512767036 5 6 10 1 3120 2310 0132 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 -1 0 1 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847936932735 0.459954217837 2 11 12 10 0132 0213 3120 3201 0 1 1 0 0 0 0 0 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 0 0 5 -5 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188305373961 1.196881606877 6 4 12 2 1023 0132 0213 0132 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 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 1.188305373961 1.196881606877 3 8 6 7 0132 2310 2103 0132 1 1 1 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 5 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674397412152 0.503263200774 5 3 8 4 0213 0132 0213 2310 0 1 1 0 0 0 0 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 1 -1 0 0 0 0 0 0 5 0 -5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188305373961 1.196881606877 5 9 8 3 2103 0213 3120 0132 0 1 1 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 0 -5 5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524646188469 0.901941023552 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0110_4']), 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_1100_9' : negation(d['c_0110_4']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_0011_7']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_12'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_7']})} 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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 9/176*c_1001_2^2 + 13/44*c_1001_2 - 7/22, c_0011_0 - 1, c_0011_10 - c_1001_2, c_0011_12 - 1/4*c_1001_2^2 + 1/2*c_1001_2 + 1, c_0011_4 - 1, c_0011_7 - 1/6*c_1001_2^2 + 1/2*c_1001_2 + 1/3, c_0101_0 - 1/4*c_1001_2^2 + 1/2*c_1001_2 + 1, c_0101_1 - 1, c_0101_2 - 1, c_0101_3 - 5/12*c_1001_2^2 + 3/2*c_1001_2 + 7/3, c_0101_8 + 1, c_0110_4 - 1, c_1001_0 + c_1001_2 + 1, c_1001_2^3 - 2*c_1001_2^2 - 8*c_1001_2 - 8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 13/112*c_1001_2^3 + 29/112*c_1001_2^2 - 11/28*c_1001_2 - 6/7, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_12 + 1/4*c_1001_2^3 + 3/4*c_1001_2^2 - 1/2*c_1001_2 - 1, c_0011_4 - 1, c_0011_7 - 1/2*c_1001_2 - 1, c_0101_0 + 1/4*c_1001_2^3 + 3/4*c_1001_2^2 - 1/2*c_1001_2 - 1, c_0101_1 - 1, c_0101_2 - 1, c_0101_3 + 1/4*c_1001_2^3 + 1/4*c_1001_2^2 - 3/2*c_1001_2 - 1, c_0101_8 - 1, c_0110_4 + 1, c_1001_0 - c_1001_2 - 1, c_1001_2^4 + 3*c_1001_2^3 - 2*c_1001_2^2 - 8*c_1001_2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB