Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1781266031] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s459 geometric_solution 4.79040326 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 -1 1 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 0.180828324602 1.378372005990 0 5 5 4 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 -1 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 0 1 -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 0.325283641825 0.097304860929 2 0 4 2 3201 0132 3201 2310 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 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 0.825819086359 1.295337021067 4 3 3 0 3201 1230 3012 0132 0 0 0 0 0 -1 1 0 -1 0 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 0 1 0 -1 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 0.370761479996 0.516360793556 2 1 0 3 2310 2310 0132 2310 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180828324602 1.378372005990 1 1 5 5 2310 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.305001157913 1.383750565470 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], '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_0'], '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_3']), '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' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 18347380/878264829*c_0101_5^7 - 3017542061/7026118632*c_0101_5^6 + 242932667/130113308*c_0101_5^5 + 26404965083/7026118632*c_0101_5^4 - 4723751095/780679848*c_0101_5^3 + 1195166041/390339924*c_0101_5^2 + 31598322047/7026118632*c_0101_5 + 9023637665/780679848, c_0011_0 - 1, c_0011_3 + 1263725/97584981*c_0101_5^7 - 12901160/97584981*c_0101_5^6 - 10628607/32528327*c_0101_5^5 + 33553049/97584981*c_0101_5^4 + 15591973/32528327*c_0101_5^3 - 25895660/32528327*c_0101_5^2 - 95974963/97584981*c_0101_5 + 8195048/32528327, c_0101_0 + 67011/7653724*c_0101_5^7 - 369223/3826862*c_0101_5^6 - 1183829/7653724*c_0101_5^5 + 3663837/7653724*c_0101_5^4 + 924649/3826862*c_0101_5^3 - 5993341/7653724*c_0101_5^2 + 2104781/7653724*c_0101_5 + 1571445/1913431, c_0101_1 - 17084/1913431*c_0101_5^7 + 156367/1913431*c_0101_5^6 + 597657/1913431*c_0101_5^5 + 160775/1913431*c_0101_5^4 - 442912/1913431*c_0101_5^3 - 97274/1913431*c_0101_5^2 + 2174544/1913431*c_0101_5 + 1310332/1913431, c_0101_2 - 1684253/195169962*c_0101_5^7 + 9182845/97584981*c_0101_5^6 + 9047119/65056654*c_0101_5^5 - 41482001/195169962*c_0101_5^4 + 12936623/32528327*c_0101_5^3 + 18467485/65056654*c_0101_5^2 - 8253197/195169962*c_0101_5 + 16478108/32528327, c_0101_5^8 - 10*c_0101_5^7 - 27*c_0101_5^6 + 19*c_0101_5^5 + 18*c_0101_5^4 - 63*c_0101_5^3 - 77*c_0101_5^2 - 36*c_0101_5 + 36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB