Magma V2.19-8 Wed Aug 21 2013 00:51:02 on localhost [Seed = 3667709907] Type ? for help. Type -D to quit. Loading file "L10n26__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n26 geometric_solution 12.00595117 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 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 0.569179936286 1.091459986785 0 5 7 6 0132 0132 0132 0132 1 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 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 0.380374033784 0.820953387260 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 0 1 -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 1 0 -1 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 0.885901544315 1.172965719109 9 10 11 0 0321 0132 0132 0132 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 0 0 0 0 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 0.442950772158 0.586482859555 5 8 0 12 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 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 0.277993362834 1.780190528975 4 1 7 7 0132 0132 0213 3120 1 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 0 0 0 0 0 0 0 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 0.338667542645 0.431373490532 9 12 1 10 1302 2103 0132 1302 1 1 0 1 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 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 0.569179936286 1.091459986785 5 5 12 1 3120 0213 2103 0132 1 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.338667542645 0.431373490532 2 4 9 11 0132 0132 0132 0321 0 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 -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 0.425705476892 0.448199105100 3 6 2 8 0321 2031 0132 0132 0 1 1 1 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 0 0 0 0 0 0 0 -1 1 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 0.179975199083 1.085742525756 11 3 6 2 0321 0132 2031 0132 0 1 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 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 0.589987599541 0.542871262878 10 8 12 3 0321 0321 0132 0132 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 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 -0.114098455685 1.172965719109 7 6 4 11 2103 2103 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195646036777 0.482387839355 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_7'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : negation(d['c_1001_11']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_1001_2'], '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' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(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_0']), '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' : 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' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_9']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], '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' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_9']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} 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_12, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0110_6, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 514975/256*c_1100_0^7 + 220241/512*c_1100_0^6 - 1249513/256*c_1100_0^5 + 674129/2048*c_1100_0^4 - 16250349/4096*c_1100_0^3 + 1137665/8192*c_1100_0^2 - 4881353/4096*c_1100_0 + 725399/8192, c_0011_0 - 1, c_0011_10 + 4/17*c_1100_0^7 - 6/17*c_1100_0^6 + 16/17*c_1100_0^5 - 39/34*c_1100_0^4 + 111/68*c_1100_0^3 - 243/136*c_1100_0^2 + 33/17*c_1100_0 - 135/136, c_0011_11 + 392/17*c_1100_0^7 - 180/17*c_1100_0^6 + 820/17*c_1100_0^5 - 211/17*c_1100_0^4 + 1053/34*c_1100_0^3 - 381/68*c_1100_0^2 + 509/68*c_1100_0 - 35/34, c_0011_12 + 8/17*c_1100_0^7 - 12/17*c_1100_0^6 + 32/17*c_1100_0^5 - 39/17*c_1100_0^4 + 111/34*c_1100_0^3 - 243/68*c_1100_0^2 + 32/17*c_1100_0 - 67/68, c_0011_6 - c_1100_0, c_0011_7 + 66/17*c_1100_0^7 - 31/17*c_1100_0^6 + 230/17*c_1100_0^5 - 335/68*c_1100_0^4 + 1827/136*c_1100_0^3 - 879/272*c_1100_0^2 + 531/136*c_1100_0 - 273/272, c_0011_9 - 376/17*c_1100_0^7 + 20/17*c_1100_0^6 - 688/17*c_1100_0^5 - 71/17*c_1100_0^4 - 729/34*c_1100_0^3 - 139/68*c_1100_0^2 - 59/17*c_1100_0 + 21/68, c_0101_1 + 8/17*c_1100_0^7 - 12/17*c_1100_0^6 + 32/17*c_1100_0^5 - 39/17*c_1100_0^4 + 111/34*c_1100_0^3 - 243/68*c_1100_0^2 + 32/17*c_1100_0 - 67/68, c_0101_10 + 1, c_0110_6 + 1, c_1001_11 - 12*c_1100_0^7 + 10*c_1100_0^6 - 28*c_1100_0^5 + 29/2*c_1100_0^4 - 81/4*c_1100_0^3 + 53/8*c_1100_0^2 - 23/4*c_1100_0 + 7/8, c_1001_2 + 12*c_1100_0^7 - 10*c_1100_0^6 + 28*c_1100_0^5 - 29/2*c_1100_0^4 + 81/4*c_1100_0^3 - 53/8*c_1100_0^2 + 23/4*c_1100_0 - 7/8, c_1100_0^8 - 1/2*c_1100_0^7 + 5/2*c_1100_0^6 - 7/8*c_1100_0^5 + 33/16*c_1100_0^4 - 21/32*c_1100_0^3 + 21/32*c_1100_0^2 - 7/32*c_1100_0 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB