Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 3920131288] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2599 geometric_solution 5.88669656 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 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 0 -1 0 1 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 1.379703819103 1.180451859272 0 0 5 4 0132 2103 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 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631855163885 0.720309950925 4 5 4 0 0132 1230 2031 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351523249871 0.483519436049 4 3 0 3 1302 2310 0132 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 -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 0.072798416096 0.918384146345 2 3 1 2 0132 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072798416096 0.918384146345 6 6 2 1 0132 3201 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.114941473317 0.667388834467 5 6 5 6 0132 2310 2310 3201 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 0 0 0 -0.782947053442 0.929317523302 ==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' : 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_0011_5'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 54589577174/1804110579*c_0110_3^12 - 270410117141/1804110579*c_0110_3^11 - 30886630747/200456731*c_0110_3^10 + 420421296544/601370193*c_0110_3^9 - 204420993032/1804110579*c_0110_3^8 - 1809069779345/1804110579*c_0110_3^7 - 58378166266/200456731*c_0110_3^6 + 1637443499203/1804110579*c_0110_3^5 + 94367315458/200456731*c_0110_3^4 - 192618660673/200456731*c_0110_3^3 + 326306016850/1804110579*c_0110_3^2 + 440842329349/1804110579*c_0110_3 - 8771495467/1804110579, c_0011_0 - 1, c_0011_2 - 31137801/200456731*c_0110_3^12 + 99939015/200456731*c_0110_3^11 + 433076261/200456731*c_0110_3^10 - 472842484/200456731*c_0110_3^9 - 1142281095/200456731*c_0110_3^8 + 1327778195/200456731*c_0110_3^7 + 1930647946/200456731*c_0110_3^6 - 397843197/200456731*c_0110_3^5 - 1969888027/200456731*c_0110_3^4 + 47304813/200456731*c_0110_3^3 + 1257045660/200456731*c_0110_3^2 - 542391940/200456731*c_0110_3 - 132232634/200456731, c_0011_3 + 20469390/200456731*c_0110_3^12 - 72456168/200456731*c_0110_3^11 - 242495143/200456731*c_0110_3^10 + 310043393/200456731*c_0110_3^9 + 516087551/200456731*c_0110_3^8 - 709844678/200456731*c_0110_3^7 - 939083830/200456731*c_0110_3^6 + 105348795/200456731*c_0110_3^5 + 861689933/200456731*c_0110_3^4 - 147807309/200456731*c_0110_3^3 - 459788083/200456731*c_0110_3^2 + 405143977/200456731*c_0110_3 + 46591862/200456731, c_0011_5 + 262935622/200456731*c_0110_3^12 - 1388260291/200456731*c_0110_3^11 - 903605011/200456731*c_0110_3^10 + 6450935987/200456731*c_0110_3^9 - 2970797942/200456731*c_0110_3^8 - 8098124818/200456731*c_0110_3^7 + 70345720/200456731*c_0110_3^6 + 8339755889/200456731*c_0110_3^5 + 1627620002/200456731*c_0110_3^4 - 9068022102/200456731*c_0110_3^3 + 4265817285/200456731*c_0110_3^2 + 1124271755/200456731*c_0110_3 - 650961607/200456731, c_0101_0 + 85640772/200456731*c_0110_3^12 - 417535449/200456731*c_0110_3^11 - 455686707/200456731*c_0110_3^10 + 1864797410/200456731*c_0110_3^9 - 179763997/200456731*c_0110_3^8 - 2456874248/200456731*c_0110_3^7 - 1303059693/200456731*c_0110_3^6 + 2005862904/200456731*c_0110_3^5 + 1662746754/200456731*c_0110_3^4 - 1974869698/200456731*c_0110_3^3 + 528706356/200456731*c_0110_3^2 + 230431687/200456731*c_0110_3 + 51607191/200456731, c_0101_2 + 29890782/200456731*c_0110_3^12 - 140148193/200456731*c_0110_3^11 - 181221967/200456731*c_0110_3^10 + 597965111/200456731*c_0110_3^9 + 27053362/200456731*c_0110_3^8 - 775328710/200456731*c_0110_3^7 - 611079855/200456731*c_0110_3^6 + 534179693/200456731*c_0110_3^5 + 589090731/200456731*c_0110_3^4 - 562135033/200456731*c_0110_3^3 + 359968028/200456731*c_0110_3^2 + 67061252/200456731*c_0110_3 + 20469390/200456731, c_0110_3^13 - 5*c_0110_3^12 - 5*c_0110_3^11 + 24*c_0110_3^10 - 4*c_0110_3^9 - 36*c_0110_3^8 - 8*c_0110_3^7 + 35*c_0110_3^6 + 16*c_0110_3^5 - 36*c_0110_3^4 + 5*c_0110_3^3 + 12*c_0110_3^2 - c_0110_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB