Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 2715827534] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1928 geometric_solution 5.52461565 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -2 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 -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 -0.313443986726 1.556193427259 0 4 5 3 0132 1302 0132 1302 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 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 1.124383269073 0.617540721755 6 0 5 5 0132 0132 2310 0132 0 0 0 0 0 2 -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 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 0.247656855943 0.464926967519 3 3 1 0 1230 3012 2031 0132 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 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 0.061910776591 0.214558444131 6 6 0 1 2031 3120 0132 2031 0 0 0 0 0 1 -1 0 0 0 0 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 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 0.206723959995 1.764944688319 6 2 2 1 3012 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0 0 0 0.961857563750 0.594401004159 2 4 4 5 0132 3120 1302 1230 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 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 -0.377526774937 1.763905862210 ==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_0101_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_1010_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0110_4'])})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0110_4, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 22427894146/11573253551*c_1010_1^8 + 84248004774/11573253551*c_1010_1^7 - 92286566592/11573253551*c_1010_1^6 - 1278516862835/11573253551*c_1010_1^5 - 571128801832/11573253551*c_1010_1^4 - 501324030297/11573253551*c_1010_1^3 - 874216360918/11573253551*c_1010_1^2 + 858158843068/11573253551*c_1010_1 + 27650718132/503184937, c_0011_0 - 1, c_0011_3 + 59528673/503184937*c_1010_1^8 + 213884066/503184937*c_1010_1^7 - 283069147/503184937*c_1010_1^6 - 3352754576/503184937*c_1010_1^5 - 935037229/503184937*c_1010_1^4 - 1024450858/503184937*c_1010_1^3 - 2307149321/503184937*c_1010_1^2 + 2829350577/503184937*c_1010_1 + 1130278059/503184937, c_0011_4 - 81170395/503184937*c_1010_1^8 - 295524394/503184937*c_1010_1^7 + 369086388/503184937*c_1010_1^6 + 4581507875/503184937*c_1010_1^5 + 1515678822/503184937*c_1010_1^4 + 1616096214/503184937*c_1010_1^3 + 3338683435/503184937*c_1010_1^2 - 3561497349/503184937*c_1010_1 - 1967447981/503184937, c_0011_5 + 1833018/503184937*c_1010_1^8 - 2085820/503184937*c_1010_1^7 - 37144331/503184937*c_1010_1^6 - 52497808/503184937*c_1010_1^5 + 436343682/503184937*c_1010_1^4 - 79204410/503184937*c_1010_1^3 + 146216719/503184937*c_1010_1^2 + 654866649/503184937*c_1010_1 - 476785476/503184937, c_0101_1 - 1, c_0110_4 + 73620226/503184937*c_1010_1^8 + 275978947/503184937*c_1010_1^7 - 303462505/503184937*c_1010_1^6 - 4191828874/503184937*c_1010_1^5 - 1854308813/503184937*c_1010_1^4 - 1704063187/503184937*c_1010_1^3 - 2730453762/503184937*c_1010_1^2 + 2892153313/503184937*c_1010_1 + 1853663264/503184937, c_1010_1^9 + 3*c_1010_1^8 - 7*c_1010_1^7 - 54*c_1010_1^6 + 18*c_1010_1^5 - c_1010_1^4 - 24*c_1010_1^3 + 70*c_1010_1^2 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB