Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 964207891] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0075 geometric_solution 3.62448154 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 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 -1.045522888849 0.306985589190 0 0 3 3 0132 2310 3201 0132 0 0 0 0 0 1 -1 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 1 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230114967955 0.114953456173 2 0 0 2 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.374550938582 0.094047092901 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 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 0.225065103666 0.969250747864 6 3 6 5 0132 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.963424294492 1.986039325008 4 6 3 6 3012 2310 0132 3201 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 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 1.963424294492 1.986039325008 4 5 4 5 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009269786949 0.503343986403 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 632057635524093485/3551470501206111744*c_0101_4^19 - 5640967131031725539/1775735250603055872*c_0101_4^17 - 39667166537455978537/1183823500402037248*c_0101_4^15 - 205265733911322659581/887867625301527936*c_0101_4^13 - 1251676507005324456161/1183823500402037248*c_0101_4^11 - 10796309956196963654795/3551470501206111744*c_0101_4^9 - 18045163742092656951713/3551470501206111744*c_0101_4^7 - 1338415518789079637507/295955875100509312*c_0101_4^5 - 16747988219702063621/9248621096890916*c_0101_4^3 + 2798926074929027353/55491726581345496*c_0101_4, c_0011_0 - 1, c_0011_3 - 6168573505875/11382918273096512*c_0101_4^18 - 39843734598283/5691459136548256*c_0101_4^16 - 703711097556349/11382918273096512*c_0101_4^14 - 223896813249323/711432392068532*c_0101_4^12 - 9765318127095773/11382918273096512*c_0101_4^10 - 2040805714184857/11382918273096512*c_0101_4^8 + 41304828430298381/11382918273096512*c_0101_4^6 + 6741094462565249/1422864784137064*c_0101_4^4 + 583873256690317/355716196034266*c_0101_4^2 - 73678801350096/177858098017133, c_0011_5 + 17831033404753/11382918273096512*c_0101_4^18 + 136989349669633/5691459136548256*c_0101_4^16 + 2697597887553919/11382918273096512*c_0101_4^14 + 262413093788575/177858098017133*c_0101_4^12 + 67506557365077247/11382918273096512*c_0101_4^10 + 157608924084203651/11382918273096512*c_0101_4^8 + 201441012016228769/11382918273096512*c_0101_4^6 + 18423968073793215/1422864784137064*c_0101_4^4 + 1311987502035567/355716196034266*c_0101_4^2 + 58045009448048/177858098017133, c_0101_0 + 8484868925511/11382918273096512*c_0101_4^18 + 67986599405039/5691459136548256*c_0101_4^16 + 1358389401990585/11382918273096512*c_0101_4^14 + 542240356550899/711432392068532*c_0101_4^12 + 35855476685940601/11382918273096512*c_0101_4^10 + 87182105746108565/11382918273096512*c_0101_4^8 + 112476287320378583/11382918273096512*c_0101_4^6 + 8873725891896753/1422864784137064*c_0101_4^4 + 729389170619325/711432392068532*c_0101_4^2 - 141780087487100/177858098017133, c_0101_1 + 36078010530033/22765836546193024*c_0101_4^19 + 307732356919275/11382918273096512*c_0101_4^17 + 6347007215995991/22765836546193024*c_0101_4^15 + 10619510093980371/5691459136548256*c_0101_4^13 + 186923835866735183/22765836546193024*c_0101_4^11 + 506667764996902223/22765836546193024*c_0101_4^9 + 780982320742489069/22765836546193024*c_0101_4^7 + 160201316265610831/5691459136548256*c_0101_4^5 + 15696863977547085/1422864784137064*c_0101_4^3 + 16656479888716/177858098017133*c_0101_4, c_0101_2 - 37098651468355/22765836546193024*c_0101_4^19 - 299304422020819/11382918273096512*c_0101_4^17 - 6016942595504445/22765836546193024*c_0101_4^15 - 1210975206617955/711432392068532*c_0101_4^13 - 162450020140130525/22765836546193024*c_0101_4^11 - 406797147886944889/22765836546193024*c_0101_4^9 - 562130048503662883/22765836546193024*c_0101_4^7 - 51750860893047819/2845729568274128*c_0101_4^5 - 8762148578521683/1422864784137064*c_0101_4^3 - 35963219824847/355716196034266*c_0101_4, c_0101_4^20 + 18*c_0101_4^18 + 191*c_0101_4^16 + 1328*c_0101_4^14 + 6143*c_0101_4^12 + 18019*c_0101_4^10 + 31313*c_0101_4^8 + 30232*c_0101_4^6 + 14832*c_0101_4^4 + 1984*c_0101_4^2 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB