Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 3035965618] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s625 geometric_solution 5.10980399 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 -1 0 1 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 0.483890055497 0.269578823947 2 0 3 0 0132 2310 0132 0132 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 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 0.939008113465 0.609036580579 1 4 5 5 0132 0132 0132 3201 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552625271805 1.247781428960 5 5 4 1 2310 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552625271805 1.247781428960 4 2 4 3 2031 0132 1302 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531133260384 0.496150601083 3 2 3 2 1023 2310 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296734945933 0.670002574527 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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' : 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' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_3, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 64456529422843766010751/52226301039849811834416*c_0101_3^20 + 351118134751807509348899/8704383506641635305736*c_0101_3^18 - 1062309672200453161012021/3264143814990613239651*c_0101_3^16 + 22989456106115355503438449/6528287629981226479302*c_0101_3^14 - 54718902004096913619860591/13056575259962452958604*c_0101_3^12 - 180280401143545700405615173/13056575259962452958604*c_0101_3^10 - 16388177050526090389727299/52226301039849811834416*c_0101_3^8 + 781295668220237623411154317/52226301039849811834416*c_0101_3^6 - 131522091139050431124032603/17408767013283270611472*c_0101_3^4 + 50354568565698959077932659/52226301039849811834416*c_0101_3^2 + 137693567392496200300567/17408767013283270611472, c_0011_0 - 1, c_0011_1 + 1570877451072686507/179471824879208975376*c_0101_3^20 - 25672195627475768651/89735912439604487688*c_0101_3^18 + 103588204543218711635/44867956219802243844*c_0101_3^16 - 1121202340346713255393/44867956219802243844*c_0101_3^14 + 334713511473897096814/11216989054950560961*c_0101_3^12 + 2173040045340097812593/22433978109901121922*c_0101_3^10 + 526753391693254044251/179471824879208975376*c_0101_3^8 - 18273869203387498001617/179471824879208975376*c_0101_3^6 + 3362385075271920068659/59823941626402991792*c_0101_3^4 - 559413575060767824277/59823941626402991792*c_0101_3^2 + 36807103296690508369/59823941626402991792, c_0011_3 + 2785765350438631309295/52226301039849811834416*c_0101_3^20 - 45407091575390640786883/26113150519924905917208*c_0101_3^18 + 181733961381934186205029/13056575259962452958604*c_0101_3^16 - 1972097022181636984208987/13056575259962452958604*c_0101_3^14 + 366694758104104335943501/2176095876660408826434*c_0101_3^12 + 1987544519103032649268496/3264143814990613239651*c_0101_3^10 + 385027937731303834086671/5802922337761090203824*c_0101_3^8 - 32945268647184437873819933/52226301039849811834416*c_0101_3^6 + 14648285958434934715747901/52226301039849811834416*c_0101_3^4 - 431459990557757661179105/17408767013283270611472*c_0101_3^2 - 13381341402199636248457/5802922337761090203824, c_0101_0 + 308846355882185972431/8704383506641635305736*c_0101_3^21 - 3750214312603151289554/3264143814990613239651*c_0101_3^19 + 117596866250775543954335/13056575259962452958604*c_0101_3^17 - 1285851121659185420853295/13056575259962452958604*c_0101_3^15 + 1180257741301515250034837/13056575259962452958604*c_0101_3^13 + 618466034243835171689851/1450730584440272550956*c_0101_3^11 + 3567233369364498601887887/26113150519924905917208*c_0101_3^9 - 3449371224839976555831085/8704383506641635305736*c_0101_3^7 + 2468512996422814111052473/26113150519924905917208*c_0101_3^5 + 222315069000586805762147/26113150519924905917208*c_0101_3^3 - 4640443669058140878347/8704383506641635305736*c_0101_3, c_0101_1 - 1251501142003545635/67301934329703365766*c_0101_3^20 + 81788245262780021149/134603868659406731532*c_0101_3^18 - 659477883170402927231/134603868659406731532*c_0101_3^16 + 7140052604092751947279/134603868659406731532*c_0101_3^14 - 2822821865825665555633/44867956219802243844*c_0101_3^12 - 27773588760470781325921/134603868659406731532*c_0101_3^10 - 119299948202927379473/14955985406600747948*c_0101_3^8 + 14495038127764805546957/67301934329703365766*c_0101_3^6 - 15823076442561653859421/134603868659406731532*c_0101_3^4 + 223742393019133401293/11216989054950560961*c_0101_3^2 - 2952001589976333725/14955985406600747948, c_0101_3^22 - 33*c_0101_3^20 + 274*c_0101_3^18 - 2936*c_0101_3^16 + 4292*c_0101_3^14 + 10168*c_0101_3^12 - 3335*c_0101_3^10 - 12418*c_0101_3^8 + 9912*c_0101_3^6 - 2498*c_0101_3^4 + 156*c_0101_3^2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB