Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1696922021] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0463 geometric_solution 4.49789426 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 0 0 0 0 0.374777191704 0.178696177517 0 3 0 4 0132 0132 2310 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818801037492 0.454102206780 5 0 5 0 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.853896083426 1.267845181586 6 1 4 4 0132 0132 2310 1230 0 0 0 0 0 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 1 -1 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 0.717297838654 1.123980044102 3 3 1 6 3012 3201 0132 1023 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 1 -1 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 0.717297838654 1.123980044102 2 2 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143670480432 0.027739343225 3 6 6 4 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717297838654 1.123980044102 ==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' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(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_2'], 'c_1100_4' : d['c_0011_0'], '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_0011_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), '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_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 420147/20*c_0101_3^14 - 148739/5*c_0101_3^13 - 874797/4*c_0101_3^12 - 3222049/20*c_0101_3^11 + 13944093/20*c_0101_3^10 + 9578321/5*c_0101_3^9 + 17660133/10*c_0101_3^8 - 20149993/20*c_0101_3^7 - 101689163/20*c_0101_3^6 - 155165789/20*c_0101_3^5 - 144694583/20*c_0101_3^4 - 4616939*c_0101_3^3 - 7866291/4*c_0101_3^2 - 9697669/20*c_0101_3 - 1011421/20, c_0011_0 - 1, c_0011_2 - 684*c_0101_3^14 + 914*c_0101_3^13 + 7219*c_0101_3^12 + 5776*c_0101_3^11 - 22484*c_0101_3^10 - 64266*c_0101_3^9 - 61759*c_0101_3^8 + 29828*c_0101_3^7 + 169291*c_0101_3^6 + 264401*c_0101_3^5 + 251256*c_0101_3^4 + 163176*c_0101_3^3 + 71149*c_0101_3^2 + 18186*c_0101_3 + 1990, c_0011_4 - 1/2*c_0101_0*c_0101_3^14 + c_0101_0*c_0101_3^13 + 9/2*c_0101_0*c_0101_3^12 + 3/2*c_0101_0*c_0101_3^11 - 33/2*c_0101_0*c_0101_3^10 - 36*c_0101_0*c_0101_3^9 - 25*c_0101_0*c_0101_3^8 + 63/2*c_0101_0*c_0101_3^7 + 199/2*c_0101_0*c_0101_3^6 + 271/2*c_0101_0*c_0101_3^5 + 227/2*c_0101_0*c_0101_3^4 + 68*c_0101_0*c_0101_3^3 + 49/2*c_0101_0*c_0101_3^2 + 13/2*c_0101_0*c_0101_3 + 1/2*c_0101_0, c_0101_0^2 + 9*c_0101_3^14 - 10*c_0101_3^13 - 98*c_0101_3^12 - 97*c_0101_3^11 + 282*c_0101_3^10 + 915*c_0101_3^9 + 993*c_0101_3^8 - 239*c_0101_3^7 - 2345*c_0101_3^6 - 3968*c_0101_3^5 - 4012*c_0101_3^4 - 2769*c_0101_3^3 - 1302*c_0101_3^2 - 374*c_0101_3 - 49, c_0101_1 + 48*c_0101_3^14 - 57*c_0101_3^13 - 518*c_0101_3^12 - 478*c_0101_3^11 + 1537*c_0101_3^10 + 4758*c_0101_3^9 + 4941*c_0101_3^8 - 1617*c_0101_3^7 - 12337*c_0101_3^6 - 20215*c_0101_3^5 - 19936*c_0101_3^4 - 13412*c_0101_3^3 - 6111*c_0101_3^2 - 1674*c_0101_3 - 202, c_0101_2 + 2033*c_0101_3^14 - 2811*c_0101_3^13 - 21286*c_0101_3^12 - 16252*c_0101_3^11 + 67196*c_0101_3^10 + 187741*c_0101_3^9 + 176226*c_0101_3^8 - 93751*c_0101_3^7 - 496678*c_0101_3^6 - 765533*c_0101_3^5 - 719799*c_0101_3^4 - 462948*c_0101_3^3 - 199280*c_0101_3^2 - 49960*c_0101_3 - 5331, c_0101_3^15 - c_0101_3^14 - 11*c_0101_3^13 - 12*c_0101_3^12 + 30*c_0101_3^11 + 105*c_0101_3^10 + 122*c_0101_3^9 - 13*c_0101_3^8 - 262*c_0101_3^7 - 470*c_0101_3^6 - 498*c_0101_3^5 - 363*c_0101_3^4 - 185*c_0101_3^3 - 62*c_0101_3^2 - 12*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB