Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 3532869133] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1442 geometric_solution 5.26552585 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 0 0 0 0 0 -1 0 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 -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 1.053774526808 0.642653200200 0 0 4 4 0132 2310 3201 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 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 2.272680250953 0.863522423051 5 0 3 5 0132 0132 1302 2103 0 1 0 0 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 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 0.257030744941 0.673456473890 2 6 6 0 2031 0132 1302 0132 0 0 0 1 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 1 0 -1 1 0 -1 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 0.257030744941 0.673456473890 1 4 1 4 2310 1302 0132 2031 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 0 0 0 -0.850744782200 0.205303043003 2 6 6 2 0132 0213 1230 2103 0 1 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 -1 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 0.257030744941 0.673456473890 3 3 5 5 2031 0132 0213 3012 0 0 1 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 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 0.505337611852 1.296084590052 ==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' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 72985/2*c_1001_0^10 - 503443/2*c_1001_0^9 + 1629271/2*c_1001_0^8 - 1628704*c_1001_0^7 + 4517969/2*c_1001_0^6 - 4529463/2*c_1001_0^5 + 1681865*c_1001_0^4 - 908410*c_1001_0^3 + 691757/2*c_1001_0^2 - 165021/2*c_1001_0 + 17669/2, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 + 1727*c_1001_0^10 - 11922*c_1001_0^9 + 38631*c_1001_0^8 - 77369*c_1001_0^7 + 107537*c_1001_0^6 - 108074*c_1001_0^5 + 80468*c_1001_0^4 - 43576*c_1001_0^3 + 16633*c_1001_0^2 - 3975*c_1001_0 + 427, c_0101_0 + 11*c_1001_0^10 - 80*c_1001_0^9 + 274*c_1001_0^8 - 583*c_1001_0^7 + 865*c_1001_0^6 - 938*c_1001_0^5 + 763*c_1001_0^4 - 464*c_1001_0^3 + 207*c_1001_0^2 - 63*c_1001_0 + 10, c_0101_1 - 407*c_1001_0^10 + 2872*c_1001_0^9 - 9509*c_1001_0^8 + 19459*c_1001_0^7 - 27615*c_1001_0^6 + 28369*c_1001_0^5 - 21592*c_1001_0^4 + 12002*c_1001_0^3 - 4710*c_1001_0^2 + 1175*c_1001_0 - 135, c_0101_5 - 11/2*c_1001_0^10 + 69/2*c_1001_0^9 - 205/2*c_1001_0^8 + 189*c_1001_0^7 - 487/2*c_1001_0^6 + 451/2*c_1001_0^5 - 156*c_1001_0^4 + 76*c_1001_0^3 - 55/2*c_1001_0^2 + 9/2*c_1001_0 - 1/2, c_1001_0^11 - 80/11*c_1001_0^10 + 274/11*c_1001_0^9 - 53*c_1001_0^8 + 865/11*c_1001_0^7 - 938/11*c_1001_0^6 + 763/11*c_1001_0^5 - 464/11*c_1001_0^4 + 207/11*c_1001_0^3 - 64/11*c_1001_0^2 + 12/11*c_1001_0 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB