Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 2496989357] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s072 geometric_solution 3.61238399 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751777150009 0.031900672899 0 2 0 2 0132 0132 1023 1023 0 0 0 0 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 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 0.567937292189 0.093280482220 3 1 3 1 0132 0132 2310 1023 0 0 0 0 0 0 -1 1 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 -1 0 0 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 -0.913972549223 1.375177458161 2 2 5 4 0132 3201 0132 0132 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 -1 1 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 0.024977723283 1.955441975372 5 5 3 5 1302 2031 0132 3012 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 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 0.491137144669 0.502404437063 4 4 4 3 1302 2031 1230 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 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 0.491137144669 0.502404437063 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(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' : 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_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 25078838465213868424/32537575572854215*c_0110_4^14 - 65951784230334232471/32537575572854215*c_0110_4^13 + 2406849730525074228784/32537575572854215*c_0110_4^12 + 19096631452381836244497/32537575572854215*c_0110_4^11 + 11337178628475770813517/6507515114570843*c_0110_4^10 + 14394505758972594214390/6507515114570843*c_0110_4^9 + 28570229831561890608903/32537575572854215*c_0110_4^8 - 5383846347215011559913/6507515114570843*c_0110_4^7 - 43590730371199849732458/32537575572854215*c_0110_4^6 - 21040016311237463437373/32537575572854215*c_0110_4^5 + 122825647880822814093/6507515114570843*c_0110_4^4 + 5713113258838649079657/32537575572854215*c_0110_4^3 + 3157220026995014573377/32537575572854215*c_0110_4^2 + 154395838715442223664/6507515114570843*c_0110_4 + 69485414745022678511/32537575572854215, c_0011_0 - 1, c_0011_4 - 197202326598803176/6507515114570843*c_0110_4^14 - 519681125857743286/6507515114570843*c_0110_4^13 + 18923543317601428441/6507515114570843*c_0110_4^12 + 150267751029862912624/6507515114570843*c_0110_4^11 + 446502425439879762818/6507515114570843*c_0110_4^10 + 567941518441348326702/6507515114570843*c_0110_4^9 + 226546275958153871538/6507515114570843*c_0110_4^8 - 211719930090221517356/6507515114570843*c_0110_4^7 - 344114569219224695689/6507515114570843*c_0110_4^6 - 166607401204617551637/6507515114570843*c_0110_4^5 + 4665139713725011854/6507515114570843*c_0110_4^4 + 45138422181313414394/6507515114570843*c_0110_4^3 + 24967949553217651975/6507515114570843*c_0110_4^2 + 6111381206719053672/6507515114570843*c_0110_4 + 547873891484678938/6507515114570843, c_0101_0 - 257392693019097628/6507515114570843*c_0110_4^14 - 684771132634969482/6507515114570843*c_0110_4^13 + 24684438859746326635/6507515114570843*c_0110_4^12 + 196758643823875865000/6507515114570843*c_0110_4^11 + 587515137814983852972/6507515114570843*c_0110_4^10 + 754415182420669642332/6507515114570843*c_0110_4^9 + 310062452816497466725/6507515114570843*c_0110_4^8 - 273644462298019146560/6507515114570843*c_0110_4^7 - 457032391622048489939/6507515114570843*c_0110_4^6 - 226124714044912929363/6507515114570843*c_0110_4^5 + 3562598080661737096/6507515114570843*c_0110_4^4 + 59958435476829087829/6507515114570843*c_0110_4^3 + 33717188548162054628/6507515114570843*c_0110_4^2 + 8398754766800759059/6507515114570843*c_0110_4 + 768418359015767013/6507515114570843, c_0101_1 - 461018925062047679/6507515114570843*c_0110_4^14 - 1219098893462520769/6507515114570843*c_0110_4^13 + 44230805121138910694/6507515114570843*c_0110_4^12 + 351702984539349566988/6507515114570843*c_0110_4^11 + 1046787194347349975276/6507515114570843*c_0110_4^10 + 1335446981074572382741/6507515114570843*c_0110_4^9 + 536852302782275011490/6507515114570843*c_0110_4^8 - 495256702738541963397/6507515114570843*c_0110_4^7 - 809732435121546039705/6507515114570843*c_0110_4^6 - 393854038152195310122/6507515114570843*c_0110_4^5 + 10460154385453203474/6507515114570843*c_0110_4^4 + 106401040981311211446/6507515114570843*c_0110_4^3 + 58931074407291385684/6507515114570843*c_0110_4^2 + 14421245543484230740/6507515114570843*c_0110_4 + 1280798698423631595/6507515114570843, c_0101_3 + 51906095553430916/6507515114570843*c_0110_4^14 + 135861611125626287/6507515114570843*c_0110_4^13 - 4982995367451747093/6507515114570843*c_0110_4^12 - 39462671195394487007/6507515114570843*c_0110_4^11 - 116854208775726571213/6507515114570843*c_0110_4^10 - 147662223158473758001/6507515114570843*c_0110_4^9 - 57741824403222763702/6507515114570843*c_0110_4^8 + 55873137054906258193/6507515114570843*c_0110_4^7 + 89365891520433962654/6507515114570843*c_0110_4^6 + 42745804827146963504/6507515114570843*c_0110_4^5 - 1434169773295882590/6507515114570843*c_0110_4^4 - 11666493688365825559/6507515114570843*c_0110_4^3 - 6441651116002334053/6507515114570843*c_0110_4^2 - 1571027511187308116/6507515114570843*c_0110_4 - 143568320300893455/6507515114570843, c_0110_4^15 + 3*c_0110_4^14 - 95*c_0110_4^13 - 797*c_0110_4^12 - 2542*c_0110_4^11 - 3705*c_0110_4^10 - 2197*c_0110_4^9 + 657*c_0110_4^8 + 2137*c_0110_4^7 + 1480*c_0110_4^6 + 283*c_0110_4^5 - 238*c_0110_4^4 - 210*c_0110_4^3 - 77*c_0110_4^2 - 14*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB