Magma V2.19-8 Wed Aug 21 2013 01:11:08 on localhost [Seed = 2631566661] Type ? for help. Type -D to quit. Loading file "L14n55801__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55801 geometric_solution 11.49609721 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 2 0132 0132 0132 0213 0 1 2 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 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -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 0.602218243824 0.595747162502 0 4 6 5 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461581322198 0.506422009909 7 0 8 0 0132 0132 0132 0213 0 2 1 2 0 1 -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 0 0 0 0 0 -1 0 1 -1 0 2 -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 0.602218243824 0.595747162502 6 8 8 0 1302 0132 0321 0132 0 1 1 2 0 1 0 -1 1 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 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 0.160766758664 0.830215336934 9 1 10 8 0132 0132 0132 3120 1 2 2 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 0 0 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 0 0 0 0.635728313707 0.977979903519 11 9 1 12 0132 2310 0132 0132 1 1 2 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 0 0 0 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 0 0 -0.239109871509 0.855739810719 7 3 11 1 2310 2031 2031 0132 1 1 2 1 0 1 -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 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 0.461581322198 0.506422009909 2 9 6 10 0132 0132 3201 0132 1 2 2 1 0 1 -1 0 -1 0 0 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 1 -1 0 1 0 0 -1 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635728313707 0.977979903519 4 3 3 2 3120 0132 0321 0132 0 2 2 1 0 -1 0 1 -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 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 0 0 0 0.160766758664 0.830215336934 4 7 12 5 0132 0132 0213 3201 1 2 1 2 0 -1 1 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 -1 1 0 -2 0 0 2 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.487089475969 1.413174522004 12 11 7 4 0213 0213 0132 0132 1 2 1 2 0 0 0 0 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 0 0 0 -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 -0.487089475969 1.413174522004 5 12 10 6 0132 1302 0213 1302 1 1 1 2 0 0 0 0 0 0 0 0 0 -1 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 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 1.302876159995 1.083950178175 10 9 5 11 0213 0213 0132 2031 1 1 2 2 0 -1 0 1 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 -1 1 0 0 0 0 0 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.605752319991 2.167900356349 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_4']), 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_12' : negation(d['c_0101_4']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0011_11'], 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_11']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1010_11']), 'c_1100_1' : negation(d['c_1010_11']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_4']), 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_6'], '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_0101_4'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_1001_0, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 9383/1904*c_1010_11^7 - 76681/7616*c_1010_11^6 + 148489/7616*c_1010_11^5 + 245951/7616*c_1010_11^4 - 11731/448*c_1010_11^3 - 134381/3808*c_1010_11^2 + 24357/1904*c_1010_11 + 6575/476, c_0011_0 - 1, c_0011_10 + 241/476*c_1010_11^7 + 5407/1904*c_1010_11^6 + 4657/1904*c_1010_11^5 - 8889/1904*c_1010_11^4 - 435/112*c_1010_11^3 - 2861/952*c_1010_11^2 + 787/476*c_1010_11 + 719/119, c_0011_11 + 241/476*c_1010_11^7 + 5407/1904*c_1010_11^6 + 4657/1904*c_1010_11^5 - 8889/1904*c_1010_11^4 - 435/112*c_1010_11^3 - 2861/952*c_1010_11^2 + 787/476*c_1010_11 + 719/119, c_0011_12 + 523/238*c_1010_11^7 + 6725/952*c_1010_11^6 + 2115/952*c_1010_11^5 - 7171/952*c_1010_11^4 - 473/56*c_1010_11^3 - 2379/476*c_1010_11^2 + 985/238*c_1010_11 + 1069/119, c_0011_3 - 141/476*c_1010_11^7 - 1611/1904*c_1010_11^6 - 395/1904*c_1010_11^5 + 331/1904*c_1010_11^4 + 33/112*c_1010_11^3 + 74/119*c_1010_11^2 - 114/119*c_1010_11 - 113/238, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 - 141/476*c_1010_11^7 - 1611/1904*c_1010_11^6 - 395/1904*c_1010_11^5 + 331/1904*c_1010_11^4 + 33/112*c_1010_11^3 + 74/119*c_1010_11^2 - 114/119*c_1010_11 - 113/238, c_0101_4 + 465/476*c_1010_11^7 + 3895/1904*c_1010_11^6 - 2637/1904*c_1010_11^5 - 4059/1904*c_1010_11^4 - 225/112*c_1010_11^3 - 209/476*c_1010_11^2 + 300/119*c_1010_11 + 241/238, c_0101_6 + 43/476*c_1010_11^7 + 309/1904*c_1010_11^6 + 31/1904*c_1010_11^5 - 79/1904*c_1010_11^4 - 117/112*c_1010_11^3 - 389/952*c_1010_11^2 + 253/476*c_1010_11 + 32/119, c_1001_0 - 1, c_1001_2 + 141/476*c_1010_11^7 + 1611/1904*c_1010_11^6 + 395/1904*c_1010_11^5 - 331/1904*c_1010_11^4 - 33/112*c_1010_11^3 - 74/119*c_1010_11^2 + 114/119*c_1010_11 - 125/238, c_1010_11^8 + 7/4*c_1010_11^7 - 13/4*c_1010_11^6 - 15/4*c_1010_11^5 + 3/4*c_1010_11^4 + 2*c_1010_11^3 + 5*c_1010_11^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB