Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 1090575739] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0116 geometric_solution 3.63548457 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 -1 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 0.741133634073 0.504936320537 0 3 4 3 0132 2031 0132 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 0 0 0 0 0 1 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007510695222 1.972775308761 4 0 5 5 1302 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585676046292 0.232887855515 1 4 1 0 1302 2031 0132 0132 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 1 0 -1 -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 0.007510695222 1.972775308761 3 2 0 1 1302 2031 0132 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 -1 1 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.238003882754 0.159512897234 6 2 2 6 0132 3201 0132 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 -0.547784469291 0.136962594039 5 6 6 5 0132 3201 2310 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 2.227307100429 0.124350604967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : 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' : 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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_0011_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_4, c_0011_5, c_0101_5, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 257513/19936*c_1100_0^19 - 1023279/4984*c_1100_0^18 + 8695971/4984*c_1100_0^17 - 202174267/19936*c_1100_0^16 + 31642983/712*c_1100_0^15 - 3077556687/19936*c_1100_0^14 + 8718278207/19936*c_1100_0^13 - 5123360589/4984*c_1100_0^12 + 40362454841/19936*c_1100_0^11 - 66917268483/19936*c_1100_0^10 + 13342418461/2848*c_1100_0^9 - 109321390167/19936*c_1100_0^8 + 53205854545/9968*c_1100_0^7 - 84982922839/19936*c_1100_0^6 + 54531503823/19936*c_1100_0^5 - 13631367479/9968*c_1100_0^4 + 10120529961/19936*c_1100_0^3 - 2586238855/19936*c_1100_0^2 + 397056343/19936*c_1100_0 - 27071319/19936, c_0011_0 - 1, c_0011_3 - 1/2*c_1100_0^19 + 8*c_1100_0^18 - 69*c_1100_0^17 + 815/2*c_1100_0^16 - 1818*c_1100_0^15 + 12873/2*c_1100_0^14 - 37233/2*c_1100_0^13 + 44759*c_1100_0^12 - 180765/2*c_1100_0^11 + 308165/2*c_1100_0^10 - 444015/2*c_1100_0^9 + 539265/2*c_1100_0^8 - 274249*c_1100_0^7 + 462105/2*c_1100_0^6 - 317109/2*c_1100_0^5 + 86424*c_1100_0^4 - 72013/2*c_1100_0^3 + 21537/2*c_1100_0^2 - 4115/2*c_1100_0 + 377/2, c_0011_4 - c_1100_0^19 + 15*c_1100_0^18 - 123*c_1100_0^17 + 693*c_1100_0^16 - 2957*c_1100_0^15 + 10023*c_1100_0^14 - 27769*c_1100_0^13 + 63947*c_1100_0^12 - 123630*c_1100_0^11 + 201630*c_1100_0^10 - 277640*c_1100_0^9 + 321828*c_1100_0^8 - 311931*c_1100_0^7 + 249977*c_1100_0^6 - 162843*c_1100_0^5 + 84073*c_1100_0^4 - 33098*c_1100_0^3 + 9330*c_1100_0^2 - 1676*c_1100_0 + 144, c_0011_5 + c_1100_0^4 - 3*c_1100_0^3 + 6*c_1100_0^2 - 5*c_1100_0 + 2, c_0101_5 - c_1100_0^2 + c_1100_0 - 1, c_0101_6 - 1/4*c_1100_0^19 + 7/2*c_1100_0^18 - 55/2*c_1100_0^17 + 597/4*c_1100_0^16 - 617*c_1100_0^15 + 8127/4*c_1100_0^14 - 21933/4*c_1100_0^13 + 12320*c_1100_0^12 - 93105/4*c_1100_0^11 + 148529/4*c_1100_0^10 - 200203/4*c_1100_0^9 + 227141/4*c_1100_0^8 - 107637/2*c_1100_0^7 + 168163/4*c_1100_0^6 - 106113/4*c_1100_0^5 + 26193/2*c_1100_0^4 - 19253/4*c_1100_0^3 + 4829/4*c_1100_0^2 - 699/4*c_1100_0 + 37/4, c_1100_0^20 - 15*c_1100_0^19 + 124*c_1100_0^18 - 707*c_1100_0^17 + 3065*c_1100_0^16 - 10595*c_1100_0^15 + 30060*c_1100_0^14 - 71213*c_1100_0^13 + 142389*c_1100_0^12 - 241670*c_1100_0^11 + 348920*c_1100_0^10 - 428000*c_1100_0^9 + 444107*c_1100_0^8 - 386741*c_1100_0^7 + 279260*c_1100_0^6 - 164271*c_1100_0^5 + 76715*c_1100_0^4 - 27354*c_1100_0^3 + 6992*c_1100_0^2 - 1140*c_1100_0 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB