Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 1014866171] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0249 geometric_solution 4.27985757 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721649542127 0.047092335645 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653273079802 0.018995178453 3 0 3 0 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 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 0.597671686542 0.175243349435 2 4 2 5 0132 0132 1023 0132 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 1 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 0.403001180464 1.654063755893 6 3 5 6 0132 0132 3012 1023 0 0 0 0 0 1 0 -1 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 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 0.395602470434 0.781929312343 6 4 3 6 2310 1230 0132 3201 0 0 0 0 0 1 -1 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 -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 0.395602470434 0.781929312343 4 5 5 4 0132 2310 3201 1023 0 0 0 0 0 1 0 -1 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 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 1.484835441482 1.018250135149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_4' : negation(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' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_0']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], '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_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_3']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1037555/1015808*c_0101_6^15 + 9339841/1015808*c_0101_6^14 - 2462345/126976*c_0101_6^13 - 18828945/1015808*c_0101_6^12 + 176057913/1015808*c_0101_6^11 - 247054799/1015808*c_0101_6^10 - 55579969/507904*c_0101_6^9 + 792131443/1015808*c_0101_6^8 - 765556809/1015808*c_0101_6^7 - 4093283/16384*c_0101_6^6 + 290178779/253952*c_0101_6^5 - 94560677/126976*c_0101_6^4 - 12962779/63488*c_0101_6^3 + 15879825/31744*c_0101_6^2 - 3188479/15872*c_0101_6 - 239485/7936, c_0011_0 - 1, c_0011_5 - 1/16384*c_0101_6^15 + 7/16384*c_0101_6^14 - 1/4096*c_0101_6^13 - 35/16384*c_0101_6^12 + 119/16384*c_0101_6^11 + 15/16384*c_0101_6^10 - 121/8192*c_0101_6^9 + 529/16384*c_0101_6^8 + 385/16384*c_0101_6^7 - 105/8192*c_0101_6^6 + 377/4096*c_0101_6^5 + 299/2048*c_0101_6^4 + 219/1024*c_0101_6^3 + 261/512*c_0101_6^2 + 3/256*c_0101_6 - 1/128, c_0101_0 - 3/64*c_0101_6^15 + 23/64*c_0101_6^14 - 71/256*c_0101_6^13 - 79/32*c_0101_6^12 + 1945/256*c_0101_6^11 + 225/256*c_0101_6^10 - 3631/128*c_0101_6^9 + 4793/128*c_0101_6^8 + 6671/256*c_0101_6^7 - 24501/256*c_0101_6^6 + 56*c_0101_6^5 + 17969/256*c_0101_6^4 - 6761/64*c_0101_6^3 + 167/8*c_0101_6^2 + 717/16*c_0101_6 - 485/16, c_0101_1 - 417/16384*c_0101_6^15 + 2535/16384*c_0101_6^14 + 591/4096*c_0101_6^13 - 24771/16384*c_0101_6^12 + 38231/16384*c_0101_6^11 + 88751/16384*c_0101_6^10 - 113081/8192*c_0101_6^9 + 84721/16384*c_0101_6^8 + 473633/16384*c_0101_6^7 - 290793/8192*c_0101_6^6 - 4279/4096*c_0101_6^5 + 89019/2048*c_0101_6^4 - 35509/1024*c_0101_6^3 - 1579/512*c_0101_6^2 + 4771/256*c_0101_6 - 1697/128, c_0101_2 + 77/16384*c_0101_6^15 - 1499/16384*c_0101_6^14 + 2113/4096*c_0101_6^13 - 11241/16384*c_0101_6^12 - 34571/16384*c_0101_6^11 + 150189/16384*c_0101_6^10 - 63539/8192*c_0101_6^9 - 231117/16384*c_0101_6^8 + 614867/16384*c_0101_6^7 - 153523/8192*c_0101_6^6 - 122409/4096*c_0101_6^5 + 95581/2048*c_0101_6^4 - 14679/1024*c_0101_6^3 - 8801/512*c_0101_6^2 + 4021/256*c_0101_6 - 567/128, c_0101_3 + 3/256*c_0101_6^15 - 25/256*c_0101_6^14 + 9/64*c_0101_6^13 + 117/256*c_0101_6^12 - 513/256*c_0101_6^11 + 291/256*c_0101_6^10 + 631/128*c_0101_6^9 - 2495/256*c_0101_6^8 - 7/256*c_0101_6^7 + 2143/128*c_0101_6^6 - 239/16*c_0101_6^5 - 31/4*c_0101_6^4 + 159/8*c_0101_6^3 - 23/4*c_0101_6^2 - 8*c_0101_6 + 6, c_0101_6^16 - 9*c_0101_6^15 + 18*c_0101_6^14 + 27*c_0101_6^13 - 189*c_0101_6^12 + 223*c_0101_6^11 + 272*c_0101_6^10 - 1013*c_0101_6^9 + 673*c_0101_6^8 + 980*c_0101_6^7 - 1928*c_0101_6^6 + 624*c_0101_6^5 + 1280*c_0101_6^4 - 1344*c_0101_6^3 + 128*c_0101_6^2 + 512*c_0101_6 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB