Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 762097923] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s171 geometric_solution 4.26615525 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 1.612127588783 0.184189274604 0 2 2 0 3201 0132 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.358034697328 0.464529342825 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310770965097 0.583611608953 2 5 4 4 0132 0132 3201 0321 0 0 0 0 0 0 0 0 -1 0 1 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230589327580 1.184930749521 3 3 2 5 2310 0321 0132 2310 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 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 0.230589327580 1.184930749521 4 3 5 5 3201 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390178487604 0.261292923667 ==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' : negation(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' : negation(d['1']), 's_2_5' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), '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_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_4']), '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_4, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/18*c_0110_5, c_0011_0 - 1, c_0011_1 - 2, c_0011_4 + c_0110_5, c_0101_0 + c_0110_5, c_0101_3 + 1, c_0110_5^2 - 3 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3495475579865573/39063933504995392*c_0110_5^17 + 17383931761984583/5580561929285056*c_0110_5^15 - 379081617643684951/39063933504995392*c_0110_5^13 + 5297174078647886615/39063933504995392*c_0110_5^11 + 363985361313056215/5580561929285056*c_0110_5^9 + 15314206660604537471/39063933504995392*c_0110_5^7 - 3582952896215267577/39063933504995392*c_0110_5^5 - 462130976543969799/39063933504995392*c_0110_5^3 - 304135466373583227/9765983376248848*c_0110_5, c_0011_0 - 1, c_0011_1 - 604819597265/199305783188752*c_0110_5^16 + 41728724537585/398611566377504*c_0110_5^14 - 59041425480279/199305783188752*c_0110_5^12 + 1798933548471495/398611566377504*c_0110_5^10 + 718218377934655/199305783188752*c_0110_5^8 + 5899169285501919/398611566377504*c_0110_5^6 + 258225409414927/199305783188752*c_0110_5^4 + 296925496247241/398611566377504*c_0110_5^2 - 139510352478027/99652891594376, c_0011_4 - 35611908237/49826445797188*c_0110_5^17 + 9901703286973/398611566377504*c_0110_5^15 - 3812612110585/49826445797188*c_0110_5^13 + 435862620287227/398611566377504*c_0110_5^11 + 54335072137707/99652891594376*c_0110_5^9 + 1511948519715323/398611566377504*c_0110_5^7 + 1814795011615/12456611449297*c_0110_5^5 + 922252922036477/398611566377504*c_0110_5^3 - 1427797896963/99652891594376*c_0110_5, c_0101_0 - 5726603230871/797223132755008*c_0110_5^17 + 198496585322403/797223132755008*c_0110_5^15 - 590803114212541/797223132755008*c_0110_5^13 + 8577686076471877/797223132755008*c_0110_5^11 + 5502899602233899/797223132755008*c_0110_5^9 + 25413594809960221/797223132755008*c_0110_5^7 - 2262272430402979/797223132755008*c_0110_5^5 - 2524609213676229/797223132755008*c_0110_5^3 - 418439293578253/199305783188752*c_0110_5, c_0101_3 + 634052020195/398611566377504*c_0110_5^16 - 21780551696987/398611566377504*c_0110_5^14 + 58579551676565/398611566377504*c_0110_5^12 - 929302965439869/398611566377504*c_0110_5^10 - 903696350145855/398611566377504*c_0110_5^8 - 3010673285132429/398611566377504*c_0110_5^6 - 556397405557181/398611566377504*c_0110_5^4 + 100903235333749/398611566377504*c_0110_5^2 + 54154639320125/99652891594376, c_0110_5^18 - 35*c_0110_5^16 + 115*c_0110_5^14 - 1537*c_0110_5^12 - 441*c_0110_5^10 - 4301*c_0110_5^8 + 1837*c_0110_5^6 - 223*c_0110_5^4 + 408*c_0110_5^2 - 112 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB