Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 3868908959] Type ? for help. Type -D to quit. Loading file "10_107__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_107 geometric_solution 15.35285270 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684212719301 0.499308033331 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.270428640296 1.503468351736 8 0 5 8 0132 0132 2031 2103 0 0 0 0 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 1 1 -2 -1 0 1 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 0.458709156922 0.807530667911 9 10 4 0 0132 0132 0213 0132 0 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 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 1.295030822589 0.773169621188 11 3 0 12 0132 0213 0132 0132 0 0 0 0 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 -1 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306340511573 0.720325831661 10 1 7 2 3201 0132 0213 1302 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -2 0 0 2 0 1 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507412980895 0.641747382049 10 13 1 12 0321 0132 0132 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 -1 1 1 0 -1 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447202834288 1.086713703266 14 5 15 1 0132 0213 0132 0132 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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149554861308 0.707538320771 2 10 9 2 0132 3201 1023 2103 0 0 0 0 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 0 0 0 1 0 -1 0 -2 0 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458709156922 0.807530667911 3 11 8 11 0132 0213 1023 0321 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 1 -1 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 0.486350032234 0.490506857203 6 3 8 5 0321 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 2 -2 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345613783577 1.039286796575 4 9 9 14 0132 0321 0213 0132 0 0 0 0 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 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.019316825762 1.028028908321 6 15 4 15 3201 3201 0132 3120 0 0 0 0 0 0 0 0 1 0 0 -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 2 0 0 -2 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339405217428 0.809388709919 14 6 14 15 1023 0132 2031 0321 0 0 0 0 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 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 0.520413386211 0.760343272602 7 13 11 13 0132 1023 0132 1302 0 0 0 0 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 1 -1 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 0.520413386211 0.760343272602 12 13 12 7 3120 0321 2310 0132 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 2 0 -2 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 0.339405217428 0.809388709919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_15' : d['c_0011_15'], 'c_1001_14' : d['c_0101_13'], 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : negation(d['c_0101_7']), 'c_1001_12' : negation(d['c_0101_15']), 's_0_10' : d['1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_0'], 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : negation(d['c_0011_15']), 'c_1010_11' : d['c_0101_13'], 'c_1010_10' : negation(d['c_0110_5']), 'c_1010_15' : d['c_1001_5'], 'c_1010_14' : negation(d['c_0011_15']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0101_0']), 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_1'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_13'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_0101_8']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_15']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : negation(d['c_0101_15']), 'c_1100_3' : negation(d['c_0101_15']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_15' : d['c_0011_12'], 'c_1100_14' : d['c_0101_13'], 'c_1100_11' : d['c_0101_13'], 'c_1100_10' : d['c_0011_0'], 'c_1100_13' : d['c_0011_15'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0101_2'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0110_5']), 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_13'], 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_13'], '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'], 'c_1100_12' : negation(d['c_0101_15']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_13']), 'c_0110_6' : negation(d['c_0011_10']), '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' : d['c_0101_1'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : negation(d['c_0011_15']), 'c_0110_12' : d['c_0101_7'], 'c_0110_15' : d['c_0101_7'], 'c_0110_14' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0101_15']), 'c_0101_12' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_13']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0011_11' : d['c_0011_11'], 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_13']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), '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_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_2'], '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_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_10'], '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 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_15, c_0101_0, c_0101_1, c_0101_13, c_0101_15, c_0101_2, c_0101_7, c_0101_8, c_0110_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1101409/484*c_1001_5^7 + 8487761/484*c_1001_5^6 + 14435943/484*c_1001_5^5 - 2552801/484*c_1001_5^4 + 21514553/242*c_1001_5^3 + 128571053/484*c_1001_5^2 - 2607089/242*c_1001_5 - 10153729/484, c_0011_0 - 1, c_0011_10 - 17/8*c_1001_5^7 - 7*c_1001_5^6 + 1/8*c_1001_5^5 - 67/8*c_1001_5^4 - 431/8*c_1001_5^3 - 57/4*c_1001_5^2 - 149/8*c_1001_5 + 57/8, c_0011_11 + 3*c_1001_5^7 + 79/8*c_1001_5^6 - 1/8*c_1001_5^5 + 12*c_1001_5^4 + 601/8*c_1001_5^3 + 71/4*c_1001_5^2 + 26*c_1001_5 - 85/8, c_0011_12 + 43/16*c_1001_5^7 + 71/8*c_1001_5^6 - 1/16*c_1001_5^5 + 173/16*c_1001_5^4 + 1091/16*c_1001_5^3 + 137/8*c_1001_5^2 + 379/16*c_1001_5 - 149/16, c_0011_13 + 21/16*c_1001_5^7 + 35/8*c_1001_5^6 + 1/16*c_1001_5^5 + 83/16*c_1001_5^4 + 537/16*c_1001_5^3 + 77/8*c_1001_5^2 + 185/16*c_1001_5 - 59/16, c_0011_15 - 5/4*c_1001_5^7 - 33/8*c_1001_5^6 + 1/8*c_1001_5^5 - 19/4*c_1001_5^4 - 253/8*c_1001_5^3 - 31/4*c_1001_5^2 - 41/4*c_1001_5 + 37/8, c_0101_0 - 29/16*c_1001_5^7 - 6*c_1001_5^6 + 1/16*c_1001_5^5 - 115/16*c_1001_5^4 - 735/16*c_1001_5^3 - 93/8*c_1001_5^2 - 261/16*c_1001_5 + 93/16, c_0101_1 - 95/16*c_1001_5^7 - 39/2*c_1001_5^6 + 7/16*c_1001_5^5 - 377/16*c_1001_5^4 - 2389/16*c_1001_5^3 - 293/8*c_1001_5^2 - 827/16*c_1001_5 + 339/16, c_0101_13 + 37/8*c_1001_5^7 + 121/8*c_1001_5^6 - 1/2*c_1001_5^5 + 147/8*c_1001_5^4 + 463/4*c_1001_5^3 + 27*c_1001_5^2 + 321/8*c_1001_5 - 33/2, c_0101_15 - 13/16*c_1001_5^7 - 21/8*c_1001_5^6 + 3/16*c_1001_5^5 - 51/16*c_1001_5^4 - 325/16*c_1001_5^3 - 37/8*c_1001_5^2 - 113/16*c_1001_5 + 55/16, c_0101_2 + 1/16*c_1001_5^7 + 1/4*c_1001_5^6 + 3/16*c_1001_5^5 + 7/16*c_1001_5^4 + 31/16*c_1001_5^3 + 15/8*c_1001_5^2 + 21/16*c_1001_5 - 1/16, c_0101_7 - 7/2*c_1001_5^7 - 23/2*c_1001_5^6 + 1/4*c_1001_5^5 - 14*c_1001_5^4 - 177/2*c_1001_5^3 - 87/4*c_1001_5^2 - 123/4*c_1001_5 + 47/4, c_0101_8 + 75/16*c_1001_5^7 + 123/8*c_1001_5^6 - 5/16*c_1001_5^5 + 301/16*c_1001_5^4 + 1883/16*c_1001_5^3 + 231/8*c_1001_5^2 + 663/16*c_1001_5 - 265/16, c_0110_5 + 5/2*c_1001_5^7 + 33/4*c_1001_5^6 + 10*c_1001_5^4 + 251/4*c_1001_5^3 + 63/4*c_1001_5^2 + 85/4*c_1001_5 - 17/2, c_1001_0 - 53/16*c_1001_5^7 - 87/8*c_1001_5^6 + 3/16*c_1001_5^5 - 211/16*c_1001_5^4 - 1329/16*c_1001_5^3 - 163/8*c_1001_5^2 - 453/16*c_1001_5 + 175/16, c_1001_5^8 + 3*c_1001_5^7 - c_1001_5^6 + 4*c_1001_5^5 + 24*c_1001_5^4 - c_1001_5^3 + 7*c_1001_5^2 - 6*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 701.770 Total time: 701.990 seconds, Total memory usage: 2590.09MB