Magma V2.19-8 Tue Aug 20 2013 23:40:06 on localhost [Seed = 4240087126] Type ? for help. Type -D to quit. Loading file "K14n407__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n407 geometric_solution 10.39521545 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 1 0 -1 13 0 0 -13 13 -13 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035326445263 0.901179851706 0 5 6 2 0132 0132 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 0 -13 0 0 13 -1 0 0 1 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844774066218 1.088111072053 1 0 8 7 3201 0132 0132 0132 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 -1 0 1 -1 0 0 1 0 1 0 -1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704933823520 0.776427428232 8 9 8 0 0213 0132 0321 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 0.553544716463 0.517111040357 9 10 0 7 3201 0132 0132 2103 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 1 -1 -12 0 13 -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 0.128452469457 0.610140864139 9 1 10 6 0213 0132 3201 3120 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 0 0 0 12 0 0 -12 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147958892541 0.565971225217 5 7 9 1 3120 3120 3120 0132 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 0 0 0 12 0 -12 0 12 1 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647733956294 0.578847234136 10 6 2 4 2103 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624241419615 0.705456826486 3 10 3 2 0213 0321 0321 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 0.465111551520 0.785785549483 5 3 6 4 0213 0132 3120 2310 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 0 0 0 -12 0 12 0 -12 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.102448413227 1.058877990327 5 4 7 8 2310 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.782212979453 1.561292005692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_6']), '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' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_10' : d['c_1001_2'], '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' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0110_4']), 'c_1100_10' : negation(d['c_0110_7']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : d['c_1001_2'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_3'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} 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_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_0110_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 230221/10816*c_1001_2^7 + 124015/5408*c_1001_2^6 - 63417/2704*c_1001_2^5 + 972863/10816*c_1001_2^4 - 516597/5408*c_1001_2^3 + 23115/1352*c_1001_2^2 + 946609/10816*c_1001_2 - 483771/5408, c_0011_0 - 1, c_0011_10 - 15/52*c_1001_2^7 - 9/26*c_1001_2^6 - 8/13*c_1001_2^5 + 17/52*c_1001_2^4 + 5/26*c_1001_2^3 + 1/13*c_1001_2^2 + 59/52*c_1001_2 - 1/26, c_0011_3 - 7/26*c_1001_2^7 + 1/13*c_1001_2^6 - 4/13*c_1001_2^5 + 27/26*c_1001_2^4 - 2/13*c_1001_2^3 - 6/13*c_1001_2^2 + 31/26*c_1001_2 - 10/13, c_0011_6 - 17/52*c_1001_2^7 - 5/26*c_1001_2^6 - 3/13*c_1001_2^5 + 47/52*c_1001_2^4 - 3/26*c_1001_2^3 - 11/13*c_1001_2^2 + 53/52*c_1001_2 + 11/26, c_0101_0 + c_1001_2^2, c_0101_1 - 1, c_0101_10 + 3/13*c_1001_2^7 + 1/13*c_1001_2^6 + 9/13*c_1001_2^5 - 6/13*c_1001_2^4 - 2/13*c_1001_2^3 + 7/13*c_1001_2^2 - 17/13*c_1001_2 + 3/13, c_0110_4 + 1/13*c_1001_2^7 - 4/13*c_1001_2^6 + 3/13*c_1001_2^5 - 2/13*c_1001_2^4 + 8/13*c_1001_2^3 - 2/13*c_1001_2^2 - 10/13*c_1001_2 + 14/13, c_0110_7 + 7/52*c_1001_2^7 - 1/26*c_1001_2^6 + 2/13*c_1001_2^5 - 1/52*c_1001_2^4 - 11/26*c_1001_2^3 + 3/13*c_1001_2^2 - 31/52*c_1001_2 - 3/26, c_1001_0 + 7/52*c_1001_2^7 - 1/26*c_1001_2^6 + 2/13*c_1001_2^5 - 1/52*c_1001_2^4 + 15/26*c_1001_2^3 + 3/13*c_1001_2^2 - 31/52*c_1001_2 - 3/26, c_1001_2^8 - 3*c_1001_2^5 + 4*c_1001_2^3 - 5*c_1001_2^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.400 seconds, Total memory usage: 32.09MB