Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 3836049607] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s325 geometric_solution 4.50556378 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 1 0 -1 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 0 -1 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 -0.074496512297 1.935776836422 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.245829867411 0.536303803028 4 3 1 3 0132 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769639947883 0.850203721826 2 4 2 1 1230 2310 2031 0132 0 0 0 0 0 0 -1 1 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 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 0.769639947883 0.850203721826 2 5 5 3 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036938967258 0.354205008006 4 4 5 5 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.480308391322 0.307092147369 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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_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_0101_4']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0101_0, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 23686472/1957491*c_0101_5^14 + 58918619/652497*c_0101_5^13 - 32485642/652497*c_0101_5^12 - 572405780/652497*c_0101_5^11 + 1097884883/1957491*c_0101_5^10 + 3130793617/1957491*c_0101_5^9 + 697449338/1957491*c_0101_5^8 - 5564494141/1957491*c_0101_5^7 - 1613347672/1957491*c_0101_5^6 + 3600517219/1957491*c_0101_5^5 + 1827251182/1957491*c_0101_5^4 - 1223718031/1957491*c_0101_5^3 - 363915298/1957491*c_0101_5^2 + 149260795/1957491*c_0101_5 - 41539529/1957491, c_0011_0 - 1, c_0011_2 - 4457140/217499*c_0101_5^14 - 32339929/217499*c_0101_5^13 + 25951023/217499*c_0101_5^12 + 324735333/217499*c_0101_5^11 - 276170856/217499*c_0101_5^10 - 589812345/217499*c_0101_5^9 + 31158260/217499*c_0101_5^8 + 1080537626/217499*c_0101_5^7 + 158006709/217499*c_0101_5^6 - 832645944/217499*c_0101_5^5 - 188647637/217499*c_0101_5^4 + 242509932/217499*c_0101_5^3 + 78402655/217499*c_0101_5^2 - 22372643/217499*c_0101_5 - 9903595/217499, c_0101_0 + 134662/217499*c_0101_5^14 + 888613/217499*c_0101_5^13 - 1286124/217499*c_0101_5^12 - 8259819/217499*c_0101_5^11 + 14216502/217499*c_0101_5^10 + 2658351/217499*c_0101_5^9 - 5750526/217499*c_0101_5^8 - 18144227/217499*c_0101_5^7 + 20354725/217499*c_0101_5^6 + 4352560/217499*c_0101_5^5 - 14290827/217499*c_0101_5^4 + 1385096/217499*c_0101_5^3 + 3279391/217499*c_0101_5^2 + 77838/217499*c_0101_5 - 255846/217499, c_0101_3 - 1153074/217499*c_0101_5^14 - 8221473/217499*c_0101_5^13 + 7910693/217499*c_0101_5^12 + 84467482/217499*c_0101_5^11 - 80736156/217499*c_0101_5^10 - 152813531/217499*c_0101_5^9 + 20307929/217499*c_0101_5^8 + 292162510/217499*c_0101_5^7 + 28239007/217499*c_0101_5^6 - 226886063/217499*c_0101_5^5 - 45698562/217499*c_0101_5^4 + 65219610/217499*c_0101_5^3 + 20565804/217499*c_0101_5^2 - 6030346/217499*c_0101_5 - 2650171/217499, c_0101_4 - 1853492/217499*c_0101_5^14 - 13777162/217499*c_0101_5^13 + 8390680/217499*c_0101_5^12 + 136641548/217499*c_0101_5^11 - 92371168/217499*c_0101_5^10 - 264698489/217499*c_0101_5^9 - 18742681/217499*c_0101_5^8 + 447083917/217499*c_0101_5^7 + 127320202/217499*c_0101_5^6 - 343990848/217499*c_0101_5^5 - 115637419/217499*c_0101_5^4 + 97949773/217499*c_0101_5^3 + 39510243/217499*c_0101_5^2 - 8011321/217499*c_0101_5 - 4576829/217499, c_0101_5^15 + 6*c_0101_5^14 - 15*c_0101_5^13 - 66*c_0101_5^12 + 154*c_0101_5^11 + 59*c_0101_5^10 - 179*c_0101_5^9 - 239*c_0101_5^8 + 271*c_0101_5^7 + 245*c_0101_5^6 - 196*c_0101_5^5 - 116*c_0101_5^4 + 52*c_0101_5^3 + 29*c_0101_5^2 - 4*c_0101_5 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB