Magma V2.19-8 Tue Aug 20 2013 16:18:40 on localhost [Seed = 1444399962] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2832 geometric_solution 6.05223951 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 -1 1 1 0 -1 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 -1 1 0 -1 0 1 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.691865187088 0.630555704925 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 1 0 -1 -1 0 0 1 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 -1 0 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 0.105587765276 1.136295226185 4 5 1 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 -1 1 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 -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 0 0 0 0 0 0.837615444593 0.871386871606 6 5 6 1 1230 1230 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024222078310 0.930668380398 2 6 5 5 0132 3012 0132 2310 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 0.743250937653 0.993419730583 4 2 3 4 3201 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489712266252 0.387101802722 4 3 2 3 1230 3012 0132 1302 0 0 0 0 0 -1 1 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 1 -1 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 0.541224901464 0.548046373357 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_0']), '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_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : 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_2, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 261443022312229/51551451873280*c_0101_4^18 - 13212316415472587/51551451873280*c_0101_4^16 + 324072844694182431/51551451873280*c_0101_4^14 - 3876114347301665201/51551451873280*c_0101_4^12 + 2845904314665041031/6443931484160*c_0101_4^10 - 73247344263372747/50343214720*c_0101_4^8 + 2087330593581571747/805491435520*c_0101_4^6 - 237948858188733441/100686429440*c_0101_4^4 + 52500264314883303/50343214720*c_0101_4^2 - 2229281556193257/12585803680, c_0011_0 - 1, c_0011_2 + 753132721/33915428864*c_0101_4^18 - 4744804555/4239428608*c_0101_4^16 + 464229799983/16957714432*c_0101_4^14 - 2760654218933/8478857216*c_0101_4^12 + 64150284674537/33915428864*c_0101_4^10 - 52020602156415/8478857216*c_0101_4^8 + 22534505272299/2119714304*c_0101_4^6 - 2452826983387/264964288*c_0101_4^4 + 127279757693/33120536*c_0101_4^2 - 20092062215/33120536, c_0011_3 - 7460756781/542646861824*c_0101_4^19 + 376604087731/542646861824*c_0101_4^17 - 9226300508679/542646861824*c_0101_4^15 + 110084595091497/542646861824*c_0101_4^13 - 80440084321213/67830857728*c_0101_4^11 + 32898917305057/8478857216*c_0101_4^9 - 57877323506063/8478857216*c_0101_4^7 + 6457185732517/1059857152*c_0101_4^5 - 1380841218815/529928576*c_0101_4^3 + 56356306709/132482144*c_0101_4, c_0011_6 - 5029470901/542646861824*c_0101_4^19 + 253874334971/542646861824*c_0101_4^17 - 6219601810831/542646861824*c_0101_4^15 + 74211610558145/542646861824*c_0101_4^13 - 54235664075743/67830857728*c_0101_4^11 + 11097516158967/4239428608*c_0101_4^9 - 39115122075283/8478857216*c_0101_4^7 + 4389010623637/1059857152*c_0101_4^5 - 953668107439/529928576*c_0101_4^3 + 39927996577/132482144*c_0101_4, c_0101_0 - 5387901603/271323430912*c_0101_4^19 + 272100246673/271323430912*c_0101_4^17 - 6669424339173/271323430912*c_0101_4^15 + 79657663352019/271323430912*c_0101_4^13 - 116647944955459/67830857728*c_0101_4^11 + 95695304345343/16957714432*c_0101_4^9 - 10578515525141/1059857152*c_0101_4^7 + 2383433437163/264964288*c_0101_4^5 - 1034501939265/264964288*c_0101_4^3 + 21477373697/33120536*c_0101_4, c_0101_3 - 1311163855/271323430912*c_0101_4^18 + 66463690969/271323430912*c_0101_4^16 - 1635330361733/271323430912*c_0101_4^14 + 19681962613275/271323430912*c_0101_4^12 - 1827872735783/4239428608*c_0101_4^10 + 12233738255349/8478857216*c_0101_4^8 - 11175156319539/4239428608*c_0101_4^6 + 1319923520877/529928576*c_0101_4^4 - 299587477445/264964288*c_0101_4^2 + 12867952253/66241072, c_0101_4^20 - 51*c_0101_4^18 + 1263*c_0101_4^16 - 15401*c_0101_4^14 + 93964*c_0101_4^12 - 327328*c_0101_4^10 + 644288*c_0101_4^8 - 703744*c_0101_4^6 + 422912*c_0101_4^4 - 131072*c_0101_4^2 + 16384 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB