Magma V2.19-8 Wed Aug 21 2013 01:09:18 on localhost [Seed = 1157848114] Type ? for help. Type -D to quit. Loading file "L14n45439__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45439 geometric_solution 11.98399376 oriented_manifold CS_known 0.0000000000000004 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 1 1 1 0 0 -1 1 1 0 -1 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 3 -2 -2 0 3 -1 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111845125975 1.137059948580 0 5 7 6 0132 0132 0132 0132 2 1 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 0 0 0 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 0 0 0 0 0 0 0 0.820650008022 0.794131526347 8 0 7 8 0132 0132 3012 1023 2 2 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 0 0 0 1 0 -1 1 0 -1 0 -3 2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.202370154491 0.850880885416 6 5 9 0 0132 0321 0132 0132 2 1 1 2 0 0 -1 1 -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 3 -3 3 0 0 -3 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543336937258 0.310662552903 10 11 0 11 0132 0132 0132 1230 2 1 0 1 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 2 -2 0 0 1 -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 0.612967758950 0.793060341412 8 1 12 3 1023 0132 0132 0321 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320715366585 0.644426325028 3 7 1 8 0132 3201 0132 1302 2 1 2 1 0 0 0 0 1 0 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 -3 0 0 3 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.997131629207 0.550621738208 12 2 6 1 1230 1230 2310 0132 2 1 1 2 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 1 -1 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 0 0 0 0 0.774808528753 0.735048296729 2 5 6 2 0132 1023 2031 1023 2 2 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 0 0 -1 0 0 1 1 0 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.202370154491 0.850880885416 10 11 10 3 2103 0213 0213 0132 2 1 2 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 0 3 -3 0 0 0 0 -3 2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612967758950 0.793060341412 4 9 9 12 0132 0213 2103 1230 2 1 1 0 0 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 -3 3 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 0.389884032071 0.789370681838 4 4 9 12 3012 0132 0213 0132 2 2 1 0 0 0 0 0 -1 0 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 2 0 -2 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496998878527 1.018390868980 10 7 11 5 3012 3012 0132 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746784768392 0.972240840375 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : 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' : d['c_0101_12'], 'c_1100_8' : d['c_1001_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_1001_7']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_12'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], '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' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_3']})} 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_3, c_0011_7, c_0011_9, c_0101_0, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 14099/14080*c_1001_7^5 + 134331/28160*c_1001_7^4 - 426359/28160*c_1001_7^3 + 291411/7040*c_1001_7^2 - 114517/1760*c_1001_7 + 365847/7040, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 1/16*c_1001_7^5 - 5/16*c_1001_7^4 + 9/8*c_1001_7^3 - 3*c_1001_7^2 + 21/4*c_1001_7 - 9/2, c_0011_3 - 1, c_0011_7 + c_1001_7 - 1, c_0011_9 - 3/32*c_1001_7^5 + 17/32*c_1001_7^4 - 13/8*c_1001_7^3 + 19/4*c_1001_7^2 - 65/8*c_1001_7 + 6, c_0101_0 + 1/8*c_1001_7^4 - 3/8*c_1001_7^3 + c_1001_7^2 - 5/2*c_1001_7 + 5/2, c_0101_12 - 3/16*c_1001_7^5 + 13/16*c_1001_7^4 - 5/2*c_1001_7^3 + 13/2*c_1001_7^2 - 41/4*c_1001_7 + 7, c_0101_2 - 1, c_0101_3 - c_1001_7 + 1, c_0101_7 + 1/16*c_1001_7^5 - 3/16*c_1001_7^4 + 3/4*c_1001_7^3 - 2*c_1001_7^2 + 11/4*c_1001_7 - 3, c_1001_3 + 1/16*c_1001_7^5 - 3/16*c_1001_7^4 + 3/4*c_1001_7^3 - 2*c_1001_7^2 + 15/4*c_1001_7 - 4, c_1001_7^6 - 6*c_1001_7^5 + 21*c_1001_7^4 - 60*c_1001_7^3 + 116*c_1001_7^2 - 132*c_1001_7 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB