Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 3347471025] 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' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(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 + 2043/34*c_0101_2^3 - 40731/374*c_0101_2^2 + 12008/187*c_0101_2 + 2157/374, c_0011_0 - 1, c_0011_2 + 99/34*c_0101_2^3 - 58/17*c_0101_2^2 + 18/17*c_0101_2 + 11/34, c_0011_5 + 22/17*c_0101_2^3 - 5/17*c_0101_2^2 - 9/17*c_0101_2 + 10/17, c_0011_6 + 55/34*c_0101_2^3 - 53/17*c_0101_2^2 + 44/17*c_0101_2 - 9/34, c_0101_0 - 55/34*c_0101_2^3 + 53/17*c_0101_2^2 - 27/17*c_0101_2 + 9/34, c_0101_1 - 55/34*c_0101_2^3 + 53/17*c_0101_2^2 - 10/17*c_0101_2 - 25/34, c_0101_2^4 - 19/11*c_0101_2^3 + 12/11*c_0101_2^2 - 1/11*c_0101_2 + 1/11 ], 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: 8 Groebner basis: [ t - 7749/3970*c_0101_2^7 - 18443/3970*c_0101_2^6 + 54307/3970*c_0101_2^5 + 44113/1985*c_0101_2^4 - 11859/397*c_0101_2^3 - 57217/3970*c_0101_2^2 + 1699/397*c_0101_2 - 78521/3970, c_0011_0 - 1, c_0011_2 + 34/397*c_0101_2^7 + 53/397*c_0101_2^6 - 237/397*c_0101_2^5 - 73/397*c_0101_2^4 + 467/397*c_0101_2^3 - 466/397*c_0101_2^2 + 129/397*c_0101_2 + 144/397, c_0011_5 - 34/397*c_0101_2^7 - 53/397*c_0101_2^6 + 237/397*c_0101_2^5 + 73/397*c_0101_2^4 - 467/397*c_0101_2^3 + 466/397*c_0101_2^2 - 129/397*c_0101_2 - 144/397, c_0011_6 - 87/2779*c_0101_2^7 - 194/2779*c_0101_2^6 + 125/397*c_0101_2^5 + 1623/2779*c_0101_2^4 - 2421/2779*c_0101_2^3 - 240/397*c_0101_2^2 + 2157/2779*c_0101_2 - 2587/2779, c_0101_0 - 47/2779*c_0101_2^7 - 552/2779*c_0101_2^6 - 115/397*c_0101_2^5 + 2985/2779*c_0101_2^4 + 3196/2779*c_0101_2^3 - 732/397*c_0101_2^2 + 207/2779*c_0101_2 - 1717/2779, c_0101_1 + 1, c_0101_2^8 + 2*c_0101_2^7 - 8*c_0101_2^6 - 9*c_0101_2^5 + 20*c_0101_2^4 + 3*c_0101_2^3 - 5*c_0101_2^2 + 9*c_0101_2 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB