Magma V2.19-8 Wed Aug 21 2013 01:09:06 on localhost [Seed = 913321804] Type ? for help. Type -D to quit. Loading file "L14n44194__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n44194 geometric_solution 12.26377704 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 2 0 0 0 0 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 1 0 -1 0 0 -1 1 3 0 0 -3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327485117148 1.179169456580 0 5 3 6 0132 0132 1302 0132 2 2 2 2 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 1 -1 0 0 0 0 0 -2 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199249188285 0.557364962846 4 0 8 7 1302 0132 0132 0132 2 2 2 2 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 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278791052858 1.574025871851 1 8 7 0 2031 0132 3201 0132 2 2 2 2 0 0 0 0 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 -1 0 0 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164816584954 0.904513109378 9 2 0 5 0132 2031 0132 3120 2 2 2 2 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 -3 1 2 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015433336894 0.957473262039 4 1 7 6 3120 0132 0213 1230 2 2 2 2 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040367279047 1.204621067414 5 8 1 10 3012 0213 0132 0132 2 2 2 2 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 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.130868153837 1.247419433543 3 5 2 11 2310 0213 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606969595180 1.346806364544 12 3 6 2 0132 0132 0213 0132 2 2 2 2 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 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360109270937 1.017696733863 4 12 12 12 0132 0213 0132 0321 0 2 2 2 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 1 -1 0 -1 0 0 1 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307752571806 1.236493962104 11 11 6 11 1023 0321 0132 3120 2 2 1 2 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 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796415322545 1.054419830313 10 10 7 10 3120 1023 0132 0321 2 2 1 2 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543883449553 0.603878808092 8 9 9 9 0132 0321 0213 0132 0 2 2 2 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 0 -1 1 0 0 0 0 -2 3 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810453879136 0.761561902192 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_12'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_10']), '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_0101_11'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : d['c_1001_12'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(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' : negation(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' : d['c_1001_12'], '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_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_12']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_12']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_4']), '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_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_12, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_7, c_1001_0, c_1001_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 7025120/429*c_1001_10^2 + 16507136/1287*c_1001_10 - 9300904/143, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 1/3*c_1001_10^2 + 1/3*c_1001_10 + 3/4, c_0011_4 - 1/6*c_1001_10^2 + 1/3*c_1001_10 - 9/8, c_0011_6 - 1/6*c_1001_10^2 - 2/3*c_1001_10 + 3/8, c_0011_7 + 1/3*c_1001_10^2 - 5/3*c_1001_10 - 1/4, c_0101_0 - c_1001_10 - 1/2, c_0101_10 - 2/3*c_1001_10^2 - 2/3*c_1001_10, c_0101_11 - 2/3*c_1001_10^2 + 1/3*c_1001_10, c_0101_7 + 1/3*c_1001_10^2 + 1/3*c_1001_10 + 3/4, c_1001_0 - 2/3*c_1001_10^2 + 1/3*c_1001_10, c_1001_10^3 - 1/2*c_1001_10^2 + 15/4*c_1001_10 + 9/8, c_1001_12 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.380 seconds, Total memory usage: 32.09MB