Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 1377029693] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s830 geometric_solution 5.40283949 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0 1 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 0.453436163754 0.280057535780 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950163235198 0.705933556650 1 3 4 5 0132 0213 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469621545530 0.671740541746 5 4 2 1 1023 3201 0213 0132 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 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 0.469621545530 0.671740541746 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0.725920363263 1.209627816136 5 3 2 5 3201 1023 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 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 -0.097423745132 1.022592215176 ==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_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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 1728671402263/73856857629*c_0101_0*c_0101_1^10 + 4675165547720/73856857629*c_0101_0*c_0101_1^9 - 161905201836/1448173679*c_0101_0*c_0101_1^8 - 37194255143711/73856857629*c_0101_0*c_0101_1^7 - 82494259519000/73856857629*c_0101_0*c_0101_1^6 - 168448368763700/73856857629*c_0101_0*c_0101_1^5 - 76962127899283/73856857629*c_0101_0*c_0101_1^4 + 75130469849134/73856857629*c_0101_0*c_0101_1^3 + 19332905435974/73856857629*c_0101_0*c_0101_1^2 + 408283435181/3211167723*c_0101_0*c_0101_1 + 7584147736543/73856857629*c_0101_0, c_0011_0 - 1, c_0011_1 - 89541/3703769*c_0101_1^10 - 347536/3703769*c_0101_1^9 + 104328/3703769*c_0101_1^8 + 2229938/3703769*c_0101_1^7 + 6514150/3703769*c_0101_1^6 + 15097191/3703769*c_0101_1^5 + 17997535/3703769*c_0101_1^4 + 8362525/3703769*c_0101_1^3 + 3166517/3703769*c_0101_1^2 - 602981/3703769*c_0101_1 - 2124566/3703769, c_0011_3 - 25697551/85186687*c_0101_0*c_0101_1^10 - 63593756/85186687*c_0101_0*c_0101_1^9 + 139795336/85186687*c_0101_0*c_0101_1^8 + 526238086/85186687*c_0101_0*c_0101_1^7 + 1092871442/85186687*c_0101_0*c_0101_1^6 + 2206766753/85186687*c_0101_0*c_0101_1^5 + 531805254/85186687*c_0101_0*c_0101_1^4 - 1430386541/85186687*c_0101_0*c_0101_1^3 - 8479388/85186687*c_0101_0*c_0101_1^2 - 3037273/3703769*c_0101_0*c_0101_1 - 94375926/85186687*c_0101_0, c_0011_4 - 5973562/85186687*c_0101_0*c_0101_1^10 - 27238970/85186687*c_0101_0*c_0101_1^9 + 3663922/85186687*c_0101_0*c_0101_1^8 + 194403397/85186687*c_0101_0*c_0101_1^7 + 498622547/85186687*c_0101_0*c_0101_1^6 + 1008899812/85186687*c_0101_0*c_0101_1^5 + 1110027270/85186687*c_0101_0*c_0101_1^4 - 256757347/85186687*c_0101_0*c_0101_1^3 - 773877837/85186687*c_0101_0*c_0101_1^2 - 467745/3703769*c_0101_0*c_0101_1 - 22803728/85186687*c_0101_0, c_0101_0^2 + 89541/3703769*c_0101_1^10 + 347536/3703769*c_0101_1^9 - 104328/3703769*c_0101_1^8 - 2229938/3703769*c_0101_1^7 - 6514150/3703769*c_0101_1^6 - 15097191/3703769*c_0101_1^5 - 17997535/3703769*c_0101_1^4 - 8362525/3703769*c_0101_1^3 - 3166517/3703769*c_0101_1^2 + 602981/3703769*c_0101_1 - 1579203/3703769, c_0101_1^11 + 3*c_0101_1^10 - 4*c_0101_1^9 - 23*c_0101_1^8 - 54*c_0101_1^7 - 111*c_0101_1^6 - 72*c_0101_1^5 + 33*c_0101_1^4 + 26*c_0101_1^3 + 8*c_0101_1^2 + 5*c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB