Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 509575873] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1471 geometric_solution 5.28921741 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.518405319209 0.370725759891 0 2 4 3 0132 0213 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409909026812 0.508075483538 3 4 1 0 3201 1023 0213 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 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 0.409909026812 0.508075483538 5 5 1 2 0132 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.915039995914 0.609875965834 2 6 6 1 1023 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816282714947 0.687457019716 3 5 3 5 0132 2310 2310 3201 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.276289318588 0.912709244952 6 4 4 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.318143478423 0.368888326950 ==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' : d['1'], 's_3_5' : 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' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : 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_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3*c_0101_6^3 - 41/4*c_0101_6, c_0011_0 - 1, c_0011_2 + c_0101_6^3 - 2*c_0101_6, c_0011_3 + c_0101_6, c_0101_0 + c_0101_6^2 - 1, c_0101_1 + c_0101_6, c_0101_4 - c_0101_6, c_0101_6^4 - 4*c_0101_6^2 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 22857950551519100690137468/190234513294893544120365*c_0101_6^21 + 30427266644423677433579/63411504431631181373455*c_0101_6^19 - 358107796564306256155745526/63411504431631181373455*c_0101_6^17 - 1605486183808165649850498727/38046902658978708824073*c_0101_6^15 + 11214058317661347147010948421/190234513294893544120365*c_0101_6^13 + 38896311097938913069634935286/63411504431631181373455*c_0101_6^11 + 295562103867681216118277887187/190234513294893544120365*c_0101_6^9 + 96701461472230168238676623051/63411504431631181373455*c_0101_6^7 + 154488474248221965418663537106/190234513294893544120365*c_0101_6^5 + 19496243312837268508691334692/190234513294893544120365*c_0101_6^3 + 5745927474028506741299715347/190234513294893544120365*c_0101_6, c_0011_0 - 1, c_0011_2 + 1530704672016920105138/114140707976936126472219*c_0101_6^21 + 148126471838173749344/114140707976936126472219*c_0101_6^19 - 71996668951285633963955/114140707976936126472219*c_0101_6^17 - 544292351456984019389342/114140707976936126472219*c_0101_6^15 + 703719834934865959046560/114140707976936126472219*c_0101_6^13 + 7905305584488197975054020/114140707976936126472219*c_0101_6^11 + 6835102925549113505400143/38046902658978708824073*c_0101_6^9 + 20932821673716467913790754/114140707976936126472219*c_0101_6^7 + 11242231141088138803910618/114140707976936126472219*c_0101_6^5 + 1331204385829562624543224/114140707976936126472219*c_0101_6^3 + 220834547931996681305276/114140707976936126472219*c_0101_6, c_0011_3 - 8643597923634827798141/114140707976936126472219*c_0101_6^21 + 357135789076122979147/114140707976936126472219*c_0101_6^19 + 406168640327577586417592/114140707976936126472219*c_0101_6^17 + 3017097650558320786640270/114140707976936126472219*c_0101_6^15 - 4374185206493241222655477/114140707976936126472219*c_0101_6^13 - 43903423860418173463006768/114140707976936126472219*c_0101_6^11 - 36600283193696081781987134/38046902658978708824073*c_0101_6^9 - 105076403619557007980873540/114140707976936126472219*c_0101_6^7 - 54576057073205572267012313/114140707976936126472219*c_0101_6^5 - 5841056049153640787709094/114140707976936126472219*c_0101_6^3 - 2368763533840583805042602/114140707976936126472219*c_0101_6, c_0101_0 + 86890141456065989393/38046902658978708824073*c_0101_6^20 + 13460423560944694705/38046902658978708824073*c_0101_6^18 - 4105446035220037915792/38046902658978708824073*c_0101_6^16 - 10373626779412343725702/12682300886326236274691*c_0101_6^14 + 39029867715187745074462/38046902658978708824073*c_0101_6^12 + 457140694975590296448659/38046902658978708824073*c_0101_6^10 + 1176746983409660971111811/38046902658978708824073*c_0101_6^8 + 1169856534604956619747693/38046902658978708824073*c_0101_6^6 + 172524799322283034599306/12682300886326236274691*c_0101_6^4 - 22496105957191041195461/38046902658978708824073*c_0101_6^2 - 11559417237568432916286/12682300886326236274691, c_0101_1 - 1350581728314565989889/114140707976936126472219*c_0101_6^21 - 138627489917841225358/114140707976936126472219*c_0101_6^19 + 63410053693993272010498/114140707976936126472219*c_0101_6^17 + 480642135528487149322597/114140707976936126472219*c_0101_6^15 - 612700604599111992493523/114140707976936126472219*c_0101_6^13 - 6940061557664053260831689/114140707976936126472219*c_0101_6^11 - 6066701058374414264356022/38046902658978708824073*c_0101_6^9 - 19154198864132570092721776/114140707976936126472219*c_0101_6^7 - 11320765090278447014326924/114140707976936126472219*c_0101_6^5 - 2225030567424121101725360/114140707976936126472219*c_0101_6^3 - 522936649375020905563378/114140707976936126472219*c_0101_6, c_0101_4 - 89843908181204361776/38046902658978708824073*c_0101_6^21 - 16138670051027711701/38046902658978708824073*c_0101_6^19 + 4212773527539883233841/38046902658978708824073*c_0101_6^17 + 10771075319680837416051/12682300886326236274691*c_0101_6^15 - 38106971105825282022913/38046902658978708824073*c_0101_6^13 - 463825415132332826765069/38046902658978708824073*c_0101_6^11 - 1252415447782012792933022/38046902658978708824073*c_0101_6^9 - 1374732653922516797076289/38046902658978708824073*c_0101_6^7 - 287111302765641675182767/12682300886326236274691*c_0101_6^5 - 199700611499560201289779/38046902658978708824073*c_0101_6^3 - 36904730739045856864598/12682300886326236274691*c_0101_6, c_0101_6^22 - 47*c_0101_6^18 - 351*c_0101_6^16 + 492*c_0101_6^14 + 5103*c_0101_6^12 + 12910*c_0101_6^10 + 12640*c_0101_6^8 + 6708*c_0101_6^6 + 826*c_0101_6^4 + 248*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB