Magma V2.19-8 Tue Aug 20 2013 16:18:04 on localhost [Seed = 2261195342] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2292 geometric_solution 5.70003160 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.548930821972 0.252373751261 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947221457587 0.439027925128 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.625203199511 0.513241061326 5 4 2 1 0132 1023 0213 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 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 0.625203199511 0.513241061326 3 4 4 2 1023 1230 3012 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 1 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 1.044463444136 0.784417924365 3 6 2 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.322177218857 1.358297283749 6 5 6 5 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539849992876 0.350758863590 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1051/128*c_0101_4*c_0101_6^11 + 2067/64*c_0101_4*c_0101_6^10 - 13507/128*c_0101_4*c_0101_6^9 - 69283/128*c_0101_4*c_0101_6^8 + 24359/128*c_0101_4*c_0101_6^7 + 359403/128*c_0101_4*c_0101_6^6 + 11417/8*c_0101_4*c_0101_6^5 - 301217/64*c_0101_4*c_0101_6^4 - 7443/2*c_0101_4*c_0101_6^3 + 177337/128*c_0101_4*c_0101_6^2 + 83361/128*c_0101_4*c_0101_6 - 20501/128*c_0101_4, c_0011_0 - 1, c_0011_1 + 19/64*c_0101_6^11 + 25/32*c_0101_6^10 - 295/64*c_0101_6^9 - 835/64*c_0101_6^8 + 1307/64*c_0101_6^7 + 4235/64*c_0101_6^6 - 315/16*c_0101_6^5 - 3207/32*c_0101_6^4 - 233/16*c_0101_6^3 + 189/64*c_0101_6^2 - 231/64*c_0101_6 + 7/64, c_0011_3 + 71/128*c_0101_4*c_0101_6^11 + 43/32*c_0101_4*c_0101_6^10 - 1165/128*c_0101_4*c_0101_6^9 - 2891/128*c_0101_4*c_0101_6^8 + 5929/128*c_0101_4*c_0101_6^7 + 14843/128*c_0101_4*c_0101_6^6 - 5051/64*c_0101_4*c_0101_6^5 - 1443/8*c_0101_4*c_0101_6^4 + 2543/64*c_0101_4*c_0101_6^3 + 1067/128*c_0101_4*c_0101_6^2 - 1307/128*c_0101_4*c_0101_6 + 249/128*c_0101_4, c_0101_0 + 15/128*c_0101_4*c_0101_6^11 + 15/32*c_0101_4*c_0101_6^10 - 197/128*c_0101_4*c_0101_6^9 - 979/128*c_0101_4*c_0101_6^8 + 433/128*c_0101_4*c_0101_6^7 + 4787/128*c_0101_4*c_0101_6^6 + 973/64*c_0101_4*c_0101_6^5 - 203/4*c_0101_4*c_0101_6^4 - 2361/64*c_0101_4*c_0101_6^3 - 1277/128*c_0101_4*c_0101_6^2 - 563/128*c_0101_4*c_0101_6 - 47/128*c_0101_4, c_0101_1 - 3/8*c_0101_6^11 - 37/32*c_0101_6^10 + 187/32*c_0101_6^9 + 309/16*c_0101_6^8 - 837/32*c_0101_6^7 - 395/4*c_0101_6^6 + 907/32*c_0101_6^5 + 4901/32*c_0101_6^4 + 205/32*c_0101_6^3 - 225/32*c_0101_6^2 + 99/16*c_0101_6 + 7/32, c_0101_4^2 + 7/64*c_0101_6^11 + 1/2*c_0101_6^10 - 105/64*c_0101_6^9 - 531/64*c_0101_6^8 + 413/64*c_0101_6^7 + 2715/64*c_0101_6^6 - 97/32*c_0101_6^5 - 1053/16*c_0101_6^4 - 179/32*c_0101_6^3 - 33/64*c_0101_6^2 - 163/64*c_0101_6 - 3/64, c_0101_6^12 + 3*c_0101_6^11 - 15*c_0101_6^10 - 50*c_0101_6^9 + 60*c_0101_6^8 + 254*c_0101_6^7 - 23*c_0101_6^6 - 390*c_0101_6^5 - 110*c_0101_6^4 + 27*c_0101_6^3 - 10*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB