Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 3414841008] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3288 geometric_solution 6.41416452 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.580777794772 1.113272099407 0 5 5 6 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498133786763 0.500529201190 6 0 6 3 3201 0132 2310 1302 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740763041224 2.285309398656 5 4 2 0 3012 1302 2031 0132 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 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 0.631644548299 0.706087337937 4 4 0 3 1230 3012 0132 2031 0 0 0 0 0 -1 0 1 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 -1 1 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 0.927515260153 1.334631802931 1 1 6 3 2310 0132 1302 1230 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001068777886 1.003734859860 5 2 1 2 2031 3201 0132 2310 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 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 0.465894692976 0.470736592065 ==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_0011_0']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_6, c_0101_0, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 6113539/8832825*c_1001_0^8 - 9591079/8832825*c_1001_0^7 - 96712/196285*c_1001_0^6 - 6841369/1766565*c_1001_0^5 - 42687706/8832825*c_1001_0^4 + 5875133/2944275*c_1001_0^3 - 5905993/588855*c_1001_0^2 - 256450501/8832825*c_1001_0 - 148243141/8832825, c_0011_0 - 1, c_0011_3 + 3102/39257*c_1001_0^8 - 1609/39257*c_1001_0^7 + 482/39257*c_1001_0^6 + 15512/39257*c_1001_0^5 - 17174/39257*c_1001_0^4 - 5489/39257*c_1001_0^3 + 40806/39257*c_1001_0^2 + 10997/39257*c_1001_0 - 13772/39257, c_0011_4 - 3284/39257*c_1001_0^8 + 286/39257*c_1001_0^7 + 1793/39257*c_1001_0^6 - 21788/39257*c_1001_0^5 + 7298/39257*c_1001_0^4 + 11101/39257*c_1001_0^3 - 74788/39257*c_1001_0^2 - 33941/39257*c_1001_0 + 62468/39257, c_0011_6 - 1, c_0101_0 + 5540/39257*c_1001_0^8 - 5025/39257*c_1001_0^7 + 9264/39257*c_1001_0^6 + 22363/39257*c_1001_0^5 - 23357/39257*c_1001_0^4 + 24164/39257*c_1001_0^3 + 86621/39257*c_1001_0^2 - 887/39257*c_1001_0 + 6030/39257, c_0101_2 + 1479/39257*c_1001_0^8 + 182/39257*c_1001_0^7 + 1141/39257*c_1001_0^6 + 3979/39257*c_1001_0^5 + 8213/39257*c_1001_0^4 - 7211/39257*c_1001_0^3 + 23784/39257*c_1001_0^2 + 60484/39257*c_1001_0 + 7633/39257, c_1001_0^9 + c_1001_0^8 + 5*c_1001_0^6 + 4*c_1001_0^5 - 6*c_1001_0^4 + 15*c_1001_0^3 + 34*c_1001_0^2 + 4*c_1001_0 - 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB