Magma V2.19-8 Tue Aug 20 2013 16:19:23 on localhost [Seed = 442205981] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3487 geometric_solution 6.73043005 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 1 0 -1 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 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 0.284231981146 0.426090615677 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 1 0 -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 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 0.399002396379 0.996755492826 1 3 0 5 1230 2310 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399002396379 0.996755492826 1 6 6 2 0132 0132 1023 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520778804277 1.053183962745 5 5 6 1 1230 1023 2103 0132 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 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 0.883532517488 1.167055866817 4 4 2 6 1023 3012 0132 2103 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883532517488 1.167055866817 4 3 3 5 2103 0132 1023 2103 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 0 0 0 0 0 0 0 0 0.714912291729 0.796657115948 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_0_6' : 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_1100_6' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0110_6']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 86624/787*c_0110_6^9 - 325618/787*c_0110_6^8 + 247526/787*c_0110_6^7 + 762959/787*c_0110_6^6 - 402519/787*c_0110_6^5 - 992350/787*c_0110_6^4 + 226889/787*c_0110_6^3 + 693292/787*c_0110_6^2 - 1677/787*c_0110_6 - 345321/787, c_0011_0 - 1, c_0011_1 - 125/2361*c_0110_6^9 + 40/787*c_0110_6^8 + 239/787*c_0110_6^7 - 1990/2361*c_0110_6^6 - 532/2361*c_0110_6^5 - 146/787*c_0110_6^4 - 583/787*c_0110_6^3 + 754/2361*c_0110_6^2 + 609/787*c_0110_6 + 1205/2361, c_0011_2 - 125/2361*c_0110_6^9 + 40/787*c_0110_6^8 + 239/787*c_0110_6^7 - 1990/2361*c_0110_6^6 - 532/2361*c_0110_6^5 - 146/787*c_0110_6^4 - 583/787*c_0110_6^3 + 754/2361*c_0110_6^2 + 609/787*c_0110_6 + 1205/2361, c_0011_4 - 338/2361*c_0110_6^9 + 360/787*c_0110_6^8 - 210/787*c_0110_6^7 - 2170/2361*c_0110_6^6 - 853/2361*c_0110_6^5 + 260/787*c_0110_6^4 + 1049/787*c_0110_6^3 + 490/2361*c_0110_6^2 - 815/787*c_0110_6 - 1747/2361, c_0101_0 - 373/787*c_0110_6^9 + 1271/787*c_0110_6^8 - 807/787*c_0110_6^7 - 3042/787*c_0110_6^6 + 635/787*c_0110_6^5 + 2798/787*c_0110_6^4 - 837/787*c_0110_6^3 - 1471/787*c_0110_6^2 + 522/787*c_0110_6 + 794/787, c_0101_4 + 794/2361*c_0110_6^9 - 1167/787*c_0110_6^8 + 1271/787*c_0110_6^7 + 6313/2361*c_0110_6^6 - 7538/2361*c_0110_6^5 - 3335/787*c_0110_6^4 + 1210/787*c_0110_6^3 + 5429/2361*c_0110_6^2 + 117/787*c_0110_6 - 1610/2361, c_0110_6^10 - 3*c_0110_6^9 + 11*c_0110_6^7 + 2*c_0110_6^6 - 15*c_0110_6^5 - 6*c_0110_6^4 + 10*c_0110_6^3 + 6*c_0110_6^2 - 4*c_0110_6 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB