Magma V2.19-8 Tue Aug 20 2013 16:14:47 on localhost [Seed = 3684321212] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s766 geometric_solution 5.31365750 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 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 0.494923479347 0.583067092683 3 4 2 0 0132 0132 2031 0132 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 -1 0 0 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 0.561877566700 0.549869431207 4 3 0 1 2310 3201 0132 1302 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 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 0.561877566700 0.549869431207 1 5 2 5 0132 0132 2310 2310 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 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 1.081329384542 1.341530060314 4 1 2 4 3012 0132 3201 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 1.090905366613 0.889665967463 3 3 5 5 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302797497450 0.309359140217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], '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_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 2329322389886906887/930801514847719*c_0110_5^17 + 6272810119525943641/930801514847719*c_0110_5^16 - 57828369252113423495/930801514847719*c_0110_5^15 - 61438301885169988422/930801514847719*c_0110_5^14 + 510320376968245003842/930801514847719*c_0110_5^13 - 338414077532777411549/930801514847719*c_0110_5^12 - 1053516867071437576121/930801514847719*c_0110_5^11 + 2049410182025604736806/930801514847719*c_0110_5^10 - 194220402506521723495/930801514847719*c_0110_5^9 - 2671822751795025927302/930801514847719*c_0110_5^8 + 1207203786422597761002/930801514847719*c_0110_5^7 + 1461258340672305110682/930801514847719*c_0110_5^6 - 751362104318066575900/930801514847719*c_0110_5^5 - 243784575361903005482/930801514847719*c_0110_5^4 + 261139177333782559389/930801514847719*c_0110_5^3 + 12930865324648271838/930801514847719*c_0110_5^2 - 43472141771613506523/930801514847719*c_0110_5 - 7583573427833692325/930801514847719, c_0011_0 - 1, c_0011_1 - 148076733477586313/6515610603934033*c_0110_5^17 - 395230017310416530/6515610603934033*c_0110_5^16 + 3686117989640420403/6515610603934033*c_0110_5^15 + 3820962026757202892/6515610603934033*c_0110_5^14 - 32537516558106871783/6515610603934033*c_0110_5^13 + 22234803126964975272/6515610603934033*c_0110_5^12 + 66460740483394470729/6515610603934033*c_0110_5^11 - 131597459564972023778/6515610603934033*c_0110_5^10 + 15233367377777967216/6515610603934033*c_0110_5^9 + 169160826871312051529/6515610603934033*c_0110_5^8 - 11394392798180782180/930801514847719*c_0110_5^7 - 91174599707540832038/6515610603934033*c_0110_5^6 + 48855028939722853814/6515610603934033*c_0110_5^5 + 14568611096134616747/6515610603934033*c_0110_5^4 - 16602760607792765309/6515610603934033*c_0110_5^3 - 596397466032475064/6515610603934033*c_0110_5^2 + 2735934063466414633/6515610603934033*c_0110_5 + 460611652257961847/6515610603934033, c_0101_0 - 1611907170046960/6515610603934033*c_0110_5^17 - 9512626045001476/6515610603934033*c_0110_5^16 + 27694739889303820/6515610603934033*c_0110_5^15 + 173849055959024496/6515610603934033*c_0110_5^14 - 260362896772363569/6515610603934033*c_0110_5^13 - 908017035362364066/6515610603934033*c_0110_5^12 + 1866618480611071055/6515610603934033*c_0110_5^11 + 407932183100688936/6515610603934033*c_0110_5^10 - 4914456438018807817/6515610603934033*c_0110_5^9 + 4152079613384955603/6515610603934033*c_0110_5^8 + 545764770952066230/930801514847719*c_0110_5^7 - 5112627630688838108/6515610603934033*c_0110_5^6 - 882699239504602083/6515610603934033*c_0110_5^5 + 2118033199457296897/6515610603934033*c_0110_5^4 - 403145075748868120/6515610603934033*c_0110_5^3 - 432783979973485655/6515610603934033*c_0110_5^2 + 143135183016708951/6515610603934033*c_0110_5 + 52126557090280481/6515610603934033, c_0101_1 - 52377889180209914/6515610603934033*c_0110_5^17 - 140835164439578031/6515610603934033*c_0110_5^16 + 1302089013378757045/6515610603934033*c_0110_5^15 + 1380144093254778203/6515610603934033*c_0110_5^14 - 11505748781414600829/6515610603934033*c_0110_5^13 + 7610172702406612438/6515610603934033*c_0110_5^12 + 23857614176048028882/6515610603934033*c_0110_5^11 - 46225969521618144817/6515610603934033*c_0110_5^10 + 4140404228432105080/6515610603934033*c_0110_5^9 + 60714666122333813711/6515610603934033*c_0110_5^8 - 3895393154591360271/930801514847719*c_0110_5^7 - 33507908658842294765/6515610603934033*c_0110_5^6 + 17099471405067457174/6515610603934033*c_0110_5^5 + 5659516788326831764/6515610603934033*c_0110_5^4 - 6005308554550842501/6515610603934033*c_0110_5^3 - 293525286456959012/6515610603934033*c_0110_5^2 + 997362647557297423/6515610603934033*c_0110_5 + 169892558202451498/6515610603934033, c_0101_4 + 251595861623825378/6515610603934033*c_0110_5^17 + 678229098567631486/6515610603934033*c_0110_5^16 - 6243741305577226806/6515610603934033*c_0110_5^15 - 6651860083050187855/6515610603934033*c_0110_5^14 + 55088004900566694237/6515610603934033*c_0110_5^13 - 36408876066190802954/6515610603934033*c_0110_5^12 - 113770500900797396813/6515610603934033*c_0110_5^11 + 220882464766546194117/6515610603934033*c_0110_5^10 - 20475518368886762414/6515610603934033*c_0110_5^9 - 288081352585030985557/6515610603934033*c_0110_5^8 + 18441938714544205091/930801514847719*c_0110_5^7 + 158021183852875101478/6515610603934033*c_0110_5^6 - 80234934235264324000/6515610603934033*c_0110_5^5 - 26746826160807772240/6515610603934033*c_0110_5^4 + 28031347818487651514/6515610603934033*c_0110_5^3 + 1567296597705350510/6515610603934033*c_0110_5^2 - 4717600120867117898/6515610603934033*c_0110_5 - 839349149096778542/6515610603934033, c_0110_5^18 + 3*c_0110_5^17 - 24*c_0110_5^16 - 34*c_0110_5^15 + 211*c_0110_5^14 - 78*c_0110_5^13 - 497*c_0110_5^12 + 741*c_0110_5^11 + 187*c_0110_5^10 - 1173*c_0110_5^9 + 166*c_0110_5^8 + 787*c_0110_5^7 - 130*c_0110_5^6 - 204*c_0110_5^5 + 80*c_0110_5^4 + 40*c_0110_5^3 - 17*c_0110_5^2 - 9*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB