Magma V2.19-8 Wed Aug 21 2013 00:53:14 on localhost [Seed = 4273531754] Type ? for help. Type -D to quit. Loading file "L12n1374__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1374 geometric_solution 11.80643661 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 0 1 0 0 -1 1 0 0 -1 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 -1 -6 7 1 0 -8 7 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495450666168 0.999649443352 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 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 7 -7 -1 0 0 1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121056794265 0.628645431199 8 0 7 5 0132 0132 2310 2310 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 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 0.587008430382 0.620911886806 9 10 11 0 0132 0132 0132 0132 0 1 1 1 0 0 -1 1 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 0 0 -6 6 0 0 -8 8 0 7 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387984359833 0.602040486053 8 5 0 10 3012 2310 0132 0132 0 1 1 0 0 0 -1 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 -7 7 7 0 -7 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 0.387984359833 0.602040486053 2 1 12 4 3201 0132 0132 3201 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 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 0.620829300383 0.529758311477 9 11 1 10 2103 0213 0132 0213 0 1 1 1 0 0 1 -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 0 7 -7 0 0 -1 1 -1 1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620829300383 0.529758311477 8 2 12 1 1023 3201 0321 0132 0 1 0 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 7 -7 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 0.431552613998 0.432477154672 2 7 9 4 0132 1023 3012 1230 1 1 0 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 7 -7 -1 0 1 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 0.055792417309 1.914729657927 3 8 6 12 0132 1230 2103 2310 1 1 1 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 -1 1 0 0 0 0 0 -1 1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336605607382 0.745996888813 11 3 4 6 0321 0132 0132 0213 0 1 1 1 0 0 -1 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 -7 7 0 0 0 0 0 1 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731002751061 0.581691063155 10 12 6 3 0321 0132 0213 0132 0 1 1 1 0 -1 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 0 0 0 0 -6 0 6 -7 0 -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 0.020293616886 1.218276770740 9 11 7 5 3201 0132 0321 0132 0 1 1 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 6 -7 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 0.163930692575 0.965299256887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_3_10' : 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_6'], 'c_0101_10' : negation(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' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_6']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 'c_1100_12' : negation(d['c_0011_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], '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_0'], 'c_0011_6' : d['c_0011_6'], '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_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0110_5, c_1001_1, c_1001_11, c_1001_12, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 25/57*c_1010_6^3 + 97/19*c_1010_6^2 - 176/19*c_1010_6 + 716/57, c_0011_0 - 1, c_0011_10 + 2/3*c_1010_6^3 - 2/3*c_1010_6^2 + c_1010_6, c_0011_11 + 1/3*c_1010_6^3 - 4/3*c_1010_6^2 + c_1010_6 - 2, c_0011_4 - c_1010_6^3 + 2*c_1010_6^2 - 2*c_1010_6 + 2, c_0011_6 + 5/3*c_1010_6^3 - 5/3*c_1010_6^2 + 3*c_1010_6 - 1, c_0101_0 - 1, c_0101_1 + c_1010_6^3 - c_1010_6^2 + c_1010_6 + 1, c_0101_5 + c_1010_6^3 + c_1010_6, c_0110_5 - c_1010_6^3 + 2*c_1010_6^2 - 2*c_1010_6 + 2, c_1001_1 + c_1010_6 - 1, c_1001_11 + c_1010_6^2 - c_1010_6 + 2, c_1001_12 - c_1010_6^2 + c_1010_6 - 1, c_1010_6^4 - 2*c_1010_6^3 + 4*c_1010_6^2 - 3*c_1010_6 + 3 ], 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0110_5, c_1001_1, c_1001_11, c_1001_12, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 693/40*c_1010_6^5 + 311/10*c_1010_6^4 - 811/40*c_1010_6^3 + 79/10*c_1010_6^2 - 225/32*c_1010_6 + 3039/160, c_0011_0 - 1, c_0011_10 + 33/16*c_1010_6^5 + 7/4*c_1010_6^4 - 111/16*c_1010_6^3 + 11/4*c_1010_6^2 - 17/64*c_1010_6 - 77/64, c_0011_11 + 13/8*c_1010_6^5 + 3/2*c_1010_6^4 - 35/8*c_1010_6^3 + 3/2*c_1010_6^2 + 3/32*c_1010_6 - 41/32, c_0011_4 + 19/16*c_1010_6^5 + 5/4*c_1010_6^4 - 61/16*c_1010_6^3 + 1/4*c_1010_6^2 + 29/64*c_1010_6 - 23/64, c_0011_6 + 5/16*c_1010_6^5 + 3/4*c_1010_6^4 - 11/16*c_1010_6^3 - 1/4*c_1010_6^2 - 53/64*c_1010_6 + 31/64, c_0101_0 - 1, c_0101_1 + 19/16*c_1010_6^5 + 5/4*c_1010_6^4 - 61/16*c_1010_6^3 + 1/4*c_1010_6^2 + 29/64*c_1010_6 - 23/64, c_0101_5 + 7/4*c_1010_6^5 + c_1010_6^4 - 25/4*c_1010_6^3 + 5*c_1010_6^2 - 23/16*c_1010_6 - 11/16, c_0110_5 + 19/16*c_1010_6^5 + 5/4*c_1010_6^4 - 61/16*c_1010_6^3 + 1/4*c_1010_6^2 + 29/64*c_1010_6 - 23/64, c_1001_1 + 5/16*c_1010_6^5 + 3/4*c_1010_6^4 - 11/16*c_1010_6^3 - 5/4*c_1010_6^2 + 75/64*c_1010_6 + 31/64, c_1001_11 + 3/4*c_1010_6^5 + c_1010_6^4 - 5/4*c_1010_6^3 + c_1010_6^2 - 19/16*c_1010_6 - 7/16, c_1001_12 + 9/16*c_1010_6^5 - 1/4*c_1010_6^4 - 39/16*c_1010_6^3 + 11/4*c_1010_6^2 - 57/64*c_1010_6 - 21/64, c_1010_6^6 + c_1010_6^5 - 3*c_1010_6^4 + c_1010_6^3 - 1/4*c_1010_6^2 - 1/2*c_1010_6 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB