Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 3381155302] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s193 geometric_solution 4.30595279 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 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 1 -1 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 0.613495252757 0.187458168290 0 1 0 1 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759540904783 0.067598933420 3 0 4 0 0132 0132 0132 1023 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 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386814462391 1.687230152041 2 5 5 4 0132 0132 1023 1230 0 0 0 0 0 0 1 -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 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 0.389376955045 0.786707538429 3 5 5 2 3012 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 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 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 0.389376955045 0.786707538429 4 3 3 4 2310 0132 1023 3201 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.494658988638 1.021004396806 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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_0011_4']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 424485/262144*c_0101_5^16 + 1555695/262144*c_0101_5^15 + 1948529/262144*c_0101_5^14 - 7913943/131072*c_0101_5^13 + 18038995/262144*c_0101_5^12 + 35017111/262144*c_0101_5^11 - 100848503/262144*c_0101_5^10 + 3069905/16384*c_0101_5^9 + 8384153/16384*c_0101_5^8 - 210157297/262144*c_0101_5^7 + 21386545/131072*c_0101_5^6 + 42517751/65536*c_0101_5^5 - 20335415/32768*c_0101_5^4 + 725317/16384*c_0101_5^3 + 2057987/8192*c_0101_5^2 - 601723/4096*c_0101_5 + 21307/2048, c_0011_0 - 1, c_0011_4 + 3/16384*c_0101_5^16 - 5/16384*c_0101_5^15 - 27/16384*c_0101_5^14 + 35/8192*c_0101_5^13 + 27/16384*c_0101_5^12 - 317/16384*c_0101_5^11 + 221/16384*c_0101_5^10 + 93/4096*c_0101_5^9 - 125/2048*c_0101_5^8 - 153/16384*c_0101_5^7 + 243/8192*c_0101_5^6 - 465/4096*c_0101_5^5 - 293/2048*c_0101_5^4 - 211/1024*c_0101_5^3 - 263/512*c_0101_5^2 - 3/256*c_0101_5 + 1/128, c_0101_0 + 15/512*c_0101_5^16 + 65/512*c_0101_5^15 - 561/512*c_0101_5^14 + 99/256*c_0101_5^13 + 4209/512*c_0101_5^12 - 8649/512*c_0101_5^11 - 5017/512*c_0101_5^10 + 8797/128*c_0101_5^9 - 16517/256*c_0101_5^8 - 36487/512*c_0101_5^7 + 23239/128*c_0101_5^6 - 10085/128*c_0101_5^5 - 34589/256*c_0101_5^4 + 10835/64*c_0101_5^3 - 379/16*c_0101_5^2 - 1147/16*c_0101_5 + 689/16, c_0101_1 + 9/256*c_0101_5^16 - 27/256*c_0101_5^15 - 73/256*c_0101_5^14 + 169/128*c_0101_5^13 - 91/256*c_0101_5^12 - 1339/256*c_0101_5^11 + 1823/256*c_0101_5^10 + 375/64*c_0101_5^9 - 1343/64*c_0101_5^8 + 2053/256*c_0101_5^7 + 3035/128*c_0101_5^6 - 27*c_0101_5^5 - 6*c_0101_5^4 + 209/8*c_0101_5^3 - 37/4*c_0101_5^2 - 9*c_0101_5 + 7, c_0101_3 - 435/2048*c_0101_5^16 + 3673/4096*c_0101_5^15 + 2439/4096*c_0101_5^14 - 34989/4096*c_0101_5^13 + 26401/2048*c_0101_5^12 + 55137/4096*c_0101_5^11 - 241041/4096*c_0101_5^10 + 199007/4096*c_0101_5^9 + 106271/2048*c_0101_5^8 - 277497/2048*c_0101_5^7 + 328319/4096*c_0101_5^6 + 31483/512*c_0101_5^5 - 131005/1024*c_0101_5^4 + 8195/128*c_0101_5^3 + 5797/256*c_0101_5^2 - 1411/32*c_0101_5 + 1169/64, c_0101_5^17 - 11/3*c_0101_5^16 - 17/3*c_0101_5^15 + 124/3*c_0101_5^14 - 113/3*c_0101_5^13 - 371/3*c_0101_5^12 + 285*c_0101_5^11 - 70/3*c_0101_5^10 - 1744/3*c_0101_5^9 + 1847/3*c_0101_5^8 + 264*c_0101_5^7 - 944*c_0101_5^6 + 1376/3*c_0101_5^5 + 1312/3*c_0101_5^4 - 1664/3*c_0101_5^3 + 256/3*c_0101_5^2 + 512/3*c_0101_5 - 256/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB