Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 913811978] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0189 geometric_solution 4.00118875 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 -1 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 -4.474630629447 1.471536539543 0 0 3 3 0132 3201 3201 0132 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 0 0 0 1 0 -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 0 0.306461040260 0.142109235248 0 0 2 2 3201 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 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 0.130726679038 0.026669119260 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587953052164 0.656096140507 6 3 5 5 0132 0132 3012 1230 0 0 0 0 0 -1 1 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 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 0.985271898166 1.718932838418 4 4 3 6 3012 1230 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985271898166 1.718932838418 4 5 6 6 0132 2310 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 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 -0.463514522633 0.853919368676 ==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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 60362534/13*c_0110_2^15 + 205478359/13*c_0110_2^14 - 98059245/13*c_0110_2^13 - 582883947/13*c_0110_2^12 - 4702354459/13*c_0110_2^11 - 1598277829/13*c_0110_2^10 + 18609791286/13*c_0110_2^9 + 1060866003/13*c_0110_2^8 - 28907381078/13*c_0110_2^7 + 7876870421/13*c_0110_2^6 + 19480479542/13*c_0110_2^5 - 11685962968/13*c_0110_2^4 - 237847324*c_0110_2^3 + 4545365113/13*c_0110_2^2 - 1422965158/13*c_0110_2 + 149394054/13, c_0011_0 - 1, c_0011_3 - 10*c_0110_2^15 - 31*c_0110_2^14 + 27*c_0110_2^13 + 93*c_0110_2^12 + 749*c_0110_2^11 + 24*c_0110_2^10 - 3195*c_0110_2^9 + 751*c_0110_2^8 + 4967*c_0110_2^7 - 2754*c_0110_2^6 - 3024*c_0110_2^5 + 2970*c_0110_2^4 + 54*c_0110_2^3 - 987*c_0110_2^2 + 443*c_0110_2 - 65, c_0011_5 - 54*c_0110_2^15 - 171*c_0110_2^14 + 134*c_0110_2^13 + 510*c_0110_2^12 + 4080*c_0110_2^11 + 405*c_0110_2^10 - 17197*c_0110_2^9 + 2902*c_0110_2^8 + 26888*c_0110_2^7 - 13015*c_0110_2^6 - 17010*c_0110_2^5 + 14742*c_0110_2^4 + 1188*c_0110_2^3 - 5103*c_0110_2^2 + 2025*c_0110_2 - 261, c_0101_0 - c_0110_2^15 - 3*c_0110_2^14 + 3*c_0110_2^13 + 9*c_0110_2^12 + 74*c_0110_2^11 - 5*c_0110_2^10 - 319*c_0110_2^9 + 107*c_0110_2^8 + 486*c_0110_2^7 - 324*c_0110_2^6 - 270*c_0110_2^5 + 324*c_0110_2^4 - 27*c_0110_2^3 - 96*c_0110_2^2 + 55*c_0110_2 - 11, c_0101_1 + 23409*c_0110_2^15 + 79974*c_0110_2^14 - 36936*c_0110_2^13 - 226092*c_0110_2^12 - 1826403*c_0110_2^11 - 643347*c_0110_2^10 + 7200281*c_0110_2^9 + 493738*c_0110_2^8 - 11173639*c_0110_2^7 + 2931062*c_0110_2^6 + 7544582*c_0110_2^5 - 4442931*c_0110_2^4 - 1220589*c_0110_2^3 + 1739745*c_0110_2^2 - 539001*c_0110_2 + 56079, c_0101_4 - 17182*c_0110_2^15 - 58324*c_0110_2^14 + 28539*c_0110_2^13 + 165900*c_0110_2^12 + 1336916*c_0110_2^11 + 441474*c_0110_2^10 - 5306976*c_0110_2^9 - 255152*c_0110_2^8 + 8249948*c_0110_2^7 - 2312229*c_0110_2^6 - 5551444*c_0110_2^5 + 3376782*c_0110_2^4 + 868293*c_0110_2^3 - 1306869*c_0110_2^2 + 412247*c_0110_2 - 43562, c_0110_2^16 + 3*c_0110_2^15 - 3*c_0110_2^14 - 9*c_0110_2^13 - 74*c_0110_2^12 + 5*c_0110_2^11 + 319*c_0110_2^10 - 107*c_0110_2^9 - 486*c_0110_2^8 + 324*c_0110_2^7 + 270*c_0110_2^6 - 324*c_0110_2^5 + 27*c_0110_2^4 + 96*c_0110_2^3 - 54*c_0110_2^2 + 12*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB