Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 3035965912] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3122 geometric_solution 6.28102873 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.917831438696 0.653739261210 0 5 2 6 0132 0132 1230 0132 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 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 0.421401469961 0.647095869819 5 0 6 1 3201 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.421401469961 0.647095869819 6 4 4 0 0132 3012 1230 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 1 -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 0 0 0.770704523740 0.633365717226 3 6 0 3 1230 0132 0132 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 -1 1 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 0.770704523740 0.633365717226 5 1 5 2 2031 0132 1302 2310 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 0.505358275735 1.395913307962 3 4 1 2 0132 0132 0132 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 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 1.767871759300 0.858776194887 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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_0110_2'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0'], 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 13565/724*c_1001_2^8 - 14735/181*c_1001_2^7 - 5529/362*c_1001_2^6 + 221727/724*c_1001_2^5 + 8097/724*c_1001_2^4 - 40619/181*c_1001_2^3 + 44715/724*c_1001_2^2 + 100889/724*c_1001_2 + 15165/724, c_0011_0 - 1, c_0011_3 - 103/181*c_1001_2^8 + 535/181*c_1001_2^7 - 338/181*c_1001_2^6 - 1536/181*c_1001_2^5 + 1207/181*c_1001_2^4 + 711/181*c_1001_2^3 - 895/181*c_1001_2^2 - 272/181*c_1001_2 + 268/181, c_0101_0 + c_1001_2, c_0101_1 + 75/362*c_0101_2*c_1001_2^8 - 157/181*c_0101_2*c_1001_2^7 - 72/181*c_0101_2*c_1001_2^6 + 1433/362*c_0101_2*c_1001_2^5 - 183/362*c_0101_2*c_1001_2^4 - 504/181*c_0101_2*c_1001_2^3 + 1207/362*c_0101_2*c_1001_2^2 + 3/362*c_0101_2*c_1001_2 - 341/362*c_0101_2, c_0101_2^2 + 145/362*c_1001_2^8 - 388/181*c_1001_2^7 + 259/181*c_1001_2^6 + 2505/362*c_1001_2^5 - 2381/362*c_1001_2^4 - 902/181*c_1001_2^3 + 2237/362*c_1001_2^2 + 585/362*c_1001_2 - 973/362, c_0110_2 + 145/362*c_1001_2^8 - 388/181*c_1001_2^7 + 259/181*c_1001_2^6 + 2505/362*c_1001_2^5 - 2381/362*c_1001_2^4 - 902/181*c_1001_2^3 + 2237/362*c_1001_2^2 + 585/362*c_1001_2 - 611/362, c_1001_2^9 - 5*c_1001_2^8 + 2*c_1001_2^7 + 17*c_1001_2^6 - 10*c_1001_2^5 - 13*c_1001_2^4 + 11*c_1001_2^3 + 6*c_1001_2^2 - 4*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB