Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 2017059927] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s230 geometric_solution 4.38656685 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 0 2 2031 0132 1302 0132 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 -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 0.417885254646 0.596308523663 2 0 2 3 3120 0132 3012 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 1 -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 0.639928968361 0.599893232504 3 1 0 1 1023 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639928968361 0.599893232504 4 2 1 4 0132 1023 0132 1023 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908794760989 0.352757854960 3 5 5 3 0132 0132 3201 1023 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101989711659 0.210713972585 4 4 5 5 2310 0132 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 1.408173534435 0.205053919790 ==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' : 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_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0101_2, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 386719/3646*c_0101_5^16 - 2015541/3646*c_0101_5^15 + 1102725/3646*c_0101_5^14 + 5988131/3646*c_0101_5^13 - 2909811/1823*c_0101_5^12 - 5937425/3646*c_0101_5^11 + 4988640/1823*c_0101_5^10 + 2989357/1823*c_0101_5^9 - 8493613/3646*c_0101_5^8 - 2183835/1823*c_0101_5^7 + 6194627/3646*c_0101_5^6 + 2150499/3646*c_0101_5^5 - 3966497/3646*c_0101_5^4 - 756633/3646*c_0101_5^3 + 934465/1823*c_0101_5^2 - 126349/3646*c_0101_5 - 537573/3646, c_0011_0 - 1, c_0011_2 - 9409/3646*c_0101_5^16 + 23795/1823*c_0101_5^15 - 10598/1823*c_0101_5^14 - 70818/1823*c_0101_5^13 + 122199/3646*c_0101_5^12 + 67489/1823*c_0101_5^11 - 216173/3646*c_0101_5^10 - 144489/3646*c_0101_5^9 + 80862/1823*c_0101_5^8 + 92505/3646*c_0101_5^7 - 135643/3646*c_0101_5^6 - 24279/1823*c_0101_5^5 + 87687/3646*c_0101_5^4 + 8313/1823*c_0101_5^3 - 40513/3646*c_0101_5^2 + 2683/3646*c_0101_5 + 6241/1823, c_0101_2 - 4041/3646*c_0101_5^16 + 20683/3646*c_0101_5^15 - 11897/3646*c_0101_5^14 - 25575/1823*c_0101_5^13 + 46335/3646*c_0101_5^12 + 17785/1823*c_0101_5^11 - 32586/1823*c_0101_5^10 - 41199/3646*c_0101_5^9 + 30927/3646*c_0101_5^8 + 8689/1823*c_0101_5^7 - 7055/1823*c_0101_5^6 - 2131/1823*c_0101_5^5 + 8747/3646*c_0101_5^4 - 1845/3646*c_0101_5^3 - 1095/1823*c_0101_5^2 + 1297/1823*c_0101_5 - 885/1823, c_0101_3 + 7687/3646*c_0101_5^16 - 38913/3646*c_0101_5^15 + 15543/3646*c_0101_5^14 + 62035/1823*c_0101_5^13 - 97379/3646*c_0101_5^12 - 72475/1823*c_0101_5^11 + 94568/1823*c_0101_5^10 + 157871/3646*c_0101_5^9 - 169475/3646*c_0101_5^8 - 57910/1823*c_0101_5^7 + 61745/1823*c_0101_5^6 + 33122/1823*c_0101_5^5 - 85313/3646*c_0101_5^4 - 27323/3646*c_0101_5^3 + 22971/1823*c_0101_5^2 + 2349/1823*c_0101_5 - 6407/1823, c_0101_4 + 924/1823*c_0101_5^16 - 6155/3646*c_0101_5^15 - 6304/1823*c_0101_5^14 + 40505/3646*c_0101_5^13 + 10313/3646*c_0101_5^12 - 34355/1823*c_0101_5^11 + 17131/1823*c_0101_5^10 + 39506/1823*c_0101_5^9 - 18849/3646*c_0101_5^8 - 19103/1823*c_0101_5^7 + 16392/1823*c_0101_5^6 + 15365/1823*c_0101_5^5 - 12034/1823*c_0101_5^4 - 16221/3646*c_0101_5^3 + 7269/1823*c_0101_5^2 + 1464/1823*c_0101_5 - 3290/1823, c_0101_5^17 - 6*c_0101_5^16 + 7*c_0101_5^15 + 13*c_0101_5^14 - 27*c_0101_5^13 - 3*c_0101_5^12 + 37*c_0101_5^11 - 5*c_0101_5^10 - 33*c_0101_5^9 + 6*c_0101_5^8 + 24*c_0101_5^7 - 7*c_0101_5^6 - 14*c_0101_5^5 + 6*c_0101_5^4 + 6*c_0101_5^3 - 4*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB