Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 3280101045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3049 geometric_solution 6.22139632 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 0 -1 1 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 1 -1 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 0.397845819534 0.301168788450 0 3 0 3 0132 0132 2310 2310 0 0 0 0 0 0 0 0 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 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 -0.597877465963 1.209591245872 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 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 1.004276714503 0.908422457422 1 1 6 5 3201 0132 0132 1230 0 0 0 0 0 0 -1 1 1 0 0 -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 -1 0 0 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 -0.005182328155 1.100785024073 2 6 5 6 0132 2103 1023 3012 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649735416340 0.964230715386 3 6 4 2 3012 2031 1023 0132 0 0 0 0 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 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 0.457441364769 0.691731756590 5 4 4 3 1302 2103 1230 0132 0 0 0 0 0 -1 0 1 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 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 0.519389846893 0.713242744812 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0011_6'])})} 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 199/8*c_0101_2^3 - 93/4*c_0101_2^2 - 243/20*c_0101_2 + 183/40, c_0011_0 - 1, c_0011_2 - 15/4*c_0101_2^3 - 5/2*c_0101_2^2 - 3/2*c_0101_2 - 1/4, c_0011_5 - 5/2*c_0101_2^3 + 1/2, c_0011_6 - 5/4*c_0101_2^3 - 5/2*c_0101_2^2 - 1/2*c_0101_2 - 3/4, c_0101_0 + 5/4*c_0101_2^3 + 5/2*c_0101_2^2 + 3/2*c_0101_2 + 3/4, c_0101_1 - 5/4*c_0101_2^3 - 5/2*c_0101_2^2 - 1/2*c_0101_2 + 1/4, c_0101_2^4 + c_0101_2^3 + 4/5*c_0101_2^2 + 1/5*c_0101_2 + 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1208/845*c_0101_2^6 + 1607/845*c_0101_2^5 + 6624/845*c_0101_2^4 - 18858/845*c_0101_2^3 - 17534/845*c_0101_2^2 + 2981/169*c_0101_2 - 318/845, c_0011_0 - 1, c_0011_2 + 21/169*c_0101_2^6 + 79/169*c_0101_2^5 + 217/169*c_0101_2^4 + 25/169*c_0101_2^3 - 830/169*c_0101_2^2 - 797/169*c_0101_2 - 186/169, c_0011_5 - 21/169*c_0101_2^6 - 79/169*c_0101_2^5 - 217/169*c_0101_2^4 - 25/169*c_0101_2^3 + 830/169*c_0101_2^2 + 797/169*c_0101_2 + 186/169, c_0011_6 + 1065/2197*c_0101_2^6 + 2582/2197*c_0101_2^5 + 8301/2197*c_0101_2^4 - 8679/2197*c_0101_2^3 - 27921/2197*c_0101_2^2 - 14683/2197*c_0101_2 - 1852/2197, c_0101_0 - 139/2197*c_0101_2^6 - 370/2197*c_0101_2^5 - 873/2197*c_0101_2^4 + 1436/2197*c_0101_2^3 + 6033/2197*c_0101_2^2 - 1211/2197*c_0101_2 - 3356/2197, c_0101_1 - 1, c_0101_2^7 + 3*c_0101_2^6 + 9*c_0101_2^5 - 4*c_0101_2^4 - 32*c_0101_2^3 - 27*c_0101_2^2 - 6*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB