Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 4223297305] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2041 geometric_solution 5.57451582 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 0 0 0 0 0 -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 0 0 0 -1 1 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 1.168534047909 0.855320336671 0 4 2 3 0132 0132 2031 1302 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 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 0.855853317394 0.454553273249 5 0 0 1 0132 0132 2031 1302 0 0 0 0 0 1 -1 0 0 0 -1 1 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 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 0.442771034772 0.407869387284 4 6 1 0 0213 0132 2031 0132 0 0 0 0 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 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 -0.144146682606 0.454553273249 3 1 5 6 0213 0132 2031 1023 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 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 0.907062275920 1.140594396220 2 6 6 4 0132 1230 3201 1302 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873600060528 0.648480535046 5 3 5 4 2310 0132 3012 1023 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 -1 0 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 -1.431832745027 1.677838870133 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_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_0'], 'c_0011_4' : d['c_0011_0'], '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_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_1']), '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' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 379/80*c_0101_6^10 - 81/80*c_0101_6^9 - 159/8*c_0101_6^8 - 1153/80*c_0101_6^7 - 1005/16*c_0101_6^6 - 848/5*c_0101_6^5 - 6207/40*c_0101_6^4 + 399/80*c_0101_6^3 + 4531/80*c_0101_6^2 + 343/80*c_0101_6 - 121/20, c_0011_0 - 1, c_0011_3 + 359/4*c_0101_6^10 - 83/2*c_0101_6^9 + 1513/4*c_0101_6^8 + 19/4*c_0101_6^7 + 1075*c_0101_6^6 + 9503/4*c_0101_6^5 + 1933/2*c_0101_6^4 - 7157/4*c_0101_6^3 - 962*c_0101_6^2 + 357*c_0101_6 + 767/4, c_0101_0 - 307/4*c_0101_6^10 + 141/4*c_0101_6^9 - 323*c_0101_6^8 - 21/4*c_0101_6^7 - 3671/4*c_0101_6^6 - 4069/2*c_0101_6^5 - 1657/2*c_0101_6^4 + 6147/4*c_0101_6^3 + 3325/4*c_0101_6^2 - 1231/4*c_0101_6 - 333/2, c_0101_1 + 9/2*c_0101_6^10 - 17/4*c_0101_6^9 + 85/4*c_0101_6^8 - 10*c_0101_6^7 + 239/4*c_0101_6^6 + 363/4*c_0101_6^5 + 8*c_0101_6^4 - 86*c_0101_6^3 + 1/4*c_0101_6^2 + 67/4*c_0101_6 - 5/4, c_0101_2 + 115*c_0101_6^10 - 109/2*c_0101_6^9 + 971/2*c_0101_6^8 + 2757/2*c_0101_6^6 + 6053/2*c_0101_6^5 + 1206*c_0101_6^4 - 2306*c_0101_6^3 - 2429/2*c_0101_6^2 + 925/2*c_0101_6 + 487/2, c_0101_5 + 307/4*c_0101_6^10 - 141/4*c_0101_6^9 + 323*c_0101_6^8 + 21/4*c_0101_6^7 + 3671/4*c_0101_6^6 + 4069/2*c_0101_6^5 + 1657/2*c_0101_6^4 - 6147/4*c_0101_6^3 - 3325/4*c_0101_6^2 + 1231/4*c_0101_6 + 333/2, c_0101_6^11 + 4*c_0101_6^9 + 2*c_0101_6^8 + 12*c_0101_6^7 + 32*c_0101_6^6 + 23*c_0101_6^5 - 15*c_0101_6^4 - 20*c_0101_6^3 - c_0101_6^2 + 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB