Magma V2.19-8 Tue Aug 20 2013 23:57:28 on localhost [Seed = 576998134] Type ? for help. Type -D to quit. Loading file "L14n32827__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32827 geometric_solution 10.53115022 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 -1 1 -1 0 0 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 -1 3 -2 5 0 -1 -4 0 2 0 -2 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446216520377 0.725154310953 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 0 1 -1 1 0 -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 -3 3 -5 0 5 0 -4 4 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.068844016677 0.819028192361 6 0 9 8 0132 0132 0132 0132 0 1 1 0 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 1 -1 0 0 0 0 0 -5 0 0 5 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327056758049 0.826326117568 8 10 11 0 0132 0132 0132 0132 0 1 1 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 3 0 -3 0 0 -1 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701390268198 0.653555889995 7 9 0 5 0132 3120 0132 1302 0 1 0 0 0 0 -1 1 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 0 2 -2 0 0 4 -4 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241285373099 0.666829400518 6 1 4 11 3201 0132 2031 0321 0 0 0 1 0 0 0 0 1 0 -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 -2 0 2 0 -3 3 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440602265084 0.407526946413 2 7 1 5 0132 3201 0132 2310 0 1 0 1 0 0 1 -1 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 -3 3 0 0 0 0 -2 0 0 2 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847016985267 0.792021312141 4 10 6 1 0132 0321 2310 0132 0 1 0 0 0 1 0 -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 -3 0 3 0 0 5 -5 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787140899686 0.442660217044 3 9 2 10 0132 3201 0132 2310 0 1 0 1 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 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503566523111 0.555963337160 11 4 8 2 2103 3120 2310 0132 0 1 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 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226609294928 0.854963136884 8 3 11 7 3201 0132 3201 0321 0 0 0 1 0 1 0 -1 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 -3 0 3 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.574782043858 1.755623658024 10 5 9 3 2310 0321 2103 0132 0 1 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 4 0 -5 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 0.383343034861 0.387856512855 ==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' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], '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_0101_10']), 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), '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_11'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 109943663355/778519144*c_1001_1^6 - 440973904145/778519144*c_1001_1^5 + 423896174363/389259572*c_1001_1^4 - 697292108837/778519144*c_1001_1^3 + 525875077775/778519144*c_1001_1^2 - 143223592839/778519144*c_1001_1 + 55928347041/778519144, c_0011_0 - 1, c_0011_10 + 176724/58943*c_1001_1^6 - 658723/58943*c_1001_1^5 + 1106831/58943*c_1001_1^4 - 578218/58943*c_1001_1^3 + 350991/58943*c_1001_1^2 - 37170/58943*c_1001_1 + 7304/58943, c_0011_11 + 358092/58943*c_1001_1^6 - 1364906/58943*c_1001_1^5 + 2378152/58943*c_1001_1^4 - 1362664/58943*c_1001_1^3 + 690265/58943*c_1001_1^2 + 96061/58943*c_1001_1 - 82770/58943, c_0011_4 + 5598/58943*c_1001_1^6 + 4475/58943*c_1001_1^5 - 63536/58943*c_1001_1^4 + 183656/58943*c_1001_1^3 - 176103/58943*c_1001_1^2 + 154459/58943*c_1001_1 - 5436/58943, c_0011_9 + 291420/58943*c_1001_1^6 - 1251040/58943*c_1001_1^5 + 2460715/58943*c_1001_1^4 - 2017104/58943*c_1001_1^3 + 1036224/58943*c_1001_1^2 - 105456/58943*c_1001_1 - 146906/58943, c_0101_0 - 1, c_0101_1 - 66699/58943*c_1001_1^6 + 237511/58943*c_1001_1^5 - 353612/58943*c_1001_1^4 + 54075/58943*c_1001_1^3 + 85924/58943*c_1001_1^2 - 93189/58943*c_1001_1 + 52260/58943, c_0101_10 - 243423/58943*c_1001_1^6 + 896234/58943*c_1001_1^5 - 1460443/58943*c_1001_1^4 + 632293/58943*c_1001_1^3 - 265067/58943*c_1001_1^2 - 56019/58943*c_1001_1 - 13987/58943, c_0101_11 - 54549/58943*c_1001_1^6 + 298396/58943*c_1001_1^5 - 708710/58943*c_1001_1^4 + 811271/58943*c_1001_1^3 - 430668/58943*c_1001_1^2 + 140844/58943*c_1001_1 + 15444/58943, c_0101_2 + 97884/58943*c_1001_1^6 - 346483/58943*c_1001_1^5 + 585688/58943*c_1001_1^4 - 319003/58943*c_1001_1^3 + 234631/58943*c_1001_1^2 + 110338/58943*c_1001_1 + 18286/58943, c_0101_7 + 158958/58943*c_1001_1^6 - 464824/58943*c_1001_1^5 + 566661/58943*c_1001_1^4 + 151781/58943*c_1001_1^3 + 64775/58943*c_1001_1^2 + 157396/58943*c_1001_1 + 87858/58943, c_1001_1^7 - 34/9*c_1001_1^6 + 61/9*c_1001_1^5 - 41/9*c_1001_1^4 + 10/3*c_1001_1^3 - 2/9*c_1001_1^2 + 2/9*c_1001_1 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB