Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 139040119] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3002 geometric_solution 6.17936177 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 -1 0 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 -1 0 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 1.897846034043 0.482032056199 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 1 -1 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 1 0 -1 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 0.457865688746 0.929832062849 4 1 5 6 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 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 0.289553546455 0.825583364246 5 6 4 1 1023 2310 2310 0132 0 0 0 0 0 1 0 -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 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 0.289553546455 0.825583364246 2 3 4 4 0132 3201 2031 1302 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 -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 0.141449721424 0.604779810161 5 3 5 2 2031 1023 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854882555110 0.694523028439 6 6 2 3 1230 3012 0132 3201 0 0 0 0 0 0 -1 1 -1 0 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 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 0.355479541585 0.676341307520 ==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_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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], '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_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 407743376850286106154/60862786591541*c_0101_4^15 - 1738541349449670554158/60862786591541*c_0101_4^14 + 1305321759144098952587/60862786591541*c_0101_4^13 + 5821821021602116067952/60862786591541*c_0101_4^12 - 17672621937593801198551/60862786591541*c_0101_4^11 + 24676371183150040490208/60862786591541*c_0101_4^10 - 21374343905127336951657/60862786591541*c_0101_4^9 + 11919075703507812824794/60862786591541*c_0101_4^8 - 3423719970792193482226/60862786591541*c_0101_4^7 - 909049030327312574466/60862786591541*c_0101_4^6 + 171722771797207404770/5532980599231*c_0101_4^5 - 126099467873495684439/5532980599231*c_0101_4^4 + 665455069515312120766/60862786591541*c_0101_4^3 - 214091199838124787958/60862786591541*c_0101_4^2 + 41946800702041624222/60862786591541*c_0101_4 - 3780801944958141759/60862786591541, c_0011_0 - 1, c_0011_3 - 777304590526754052/60862786591541*c_0101_4^15 + 3237124326890787661/60862786591541*c_0101_4^14 - 2179888498776752429/60862786591541*c_0101_4^13 - 11250431872625991830/60862786591541*c_0101_4^12 + 32506671096922848283/60862786591541*c_0101_4^11 - 44020689234388315892/60862786591541*c_0101_4^10 + 37073826335327945237/60862786591541*c_0101_4^9 - 20005691722327283608/60862786591541*c_0101_4^8 + 5324604301181109655/60862786591541*c_0101_4^7 + 1876464884272650962/60862786591541*c_0101_4^6 - 303882401334597260/5532980599231*c_0101_4^5 + 215760506091841556/5532980599231*c_0101_4^4 - 1108331809229937488/60862786591541*c_0101_4^3 + 346002114363970212/60862786591541*c_0101_4^2 - 65422263352025557/60862786591541*c_0101_4 + 5630141114155171/60862786591541, c_0011_6 - 268493023238488545/60862786591541*c_0101_4^15 + 1245046902552516469/60862786591541*c_0101_4^14 - 1213046967704709184/60862786591541*c_0101_4^13 - 3784662299350187202/60862786591541*c_0101_4^12 + 13141950826865797143/60862786591541*c_0101_4^11 - 19481693465899641588/60862786591541*c_0101_4^10 + 17589004918011039022/60862786591541*c_0101_4^9 - 10183927668266462054/60862786591541*c_0101_4^8 + 3135510532382806224/60862786591541*c_0101_4^7 + 601559822535210134/60862786591541*c_0101_4^6 - 138506396019795478/5532980599231*c_0101_4^5 + 105293551727784000/5532980599231*c_0101_4^4 - 569136624004140895/60862786591541*c_0101_4^3 + 186250719685922339/60862786591541*c_0101_4^2 - 36627566124129953/60862786591541*c_0101_4 + 3240205638197868/60862786591541, c_0101_0 + 817786285535594816/60862786591541*c_0101_4^15 - 3418105163164766728/60862786591541*c_0101_4^14 + 2401356956093231187/60862786591541*c_0101_4^13 + 11641940046289176823/60862786591541*c_0101_4^12 - 34466121501032731465/60862786591541*c_0101_4^11 + 47628285801408049472/60862786591541*c_0101_4^10 - 40964693329929234296/60862786591541*c_0101_4^9 + 22684923327428729746/60862786591541*c_0101_4^8 - 6419322023247431198/60862786591541*c_0101_4^7 - 1813953390832982994/60862786591541*c_0101_4^6 + 330606212524950227/5532980599231*c_0101_4^5 - 241014535478626393/5532980599231*c_0101_4^4 + 1265971286075592827/60862786591541*c_0101_4^3 - 405515232205840145/60862786591541*c_0101_4^2 + 78977146293813677/60862786591541*c_0101_4 - 7055920851844903/60862786591541, c_0101_1 - 1961676678219028813/60862786591541*c_0101_4^15 + 8015218580560664903/60862786591541*c_0101_4^14 - 4978651133506425845/60862786591541*c_0101_4^13 - 28415918717173272316/60862786591541*c_0101_4^12 + 79775987822987733103/60862786591541*c_0101_4^11 - 106403822271543153592/60862786591541*c_0101_4^10 + 88516349269616508082/60862786591541*c_0101_4^9 - 47123467764200101143/60862786591541*c_0101_4^8 + 12142522288336905819/60862786591541*c_0101_4^7 + 4754659012866579617/60862786591541*c_0101_4^6 - 731015973928221409/5532980599231*c_0101_4^5 + 512364453259573448/5532980599231*c_0101_4^4 - 2605768853446555732/60862786591541*c_0101_4^3 + 805328424689214077/60862786591541*c_0101_4^2 - 150734298543274155/60862786591541*c_0101_4 + 12861258499989219/60862786591541, c_0101_2 + 17301970475412/1165574173*c_0101_4^15 - 75699930343243/1165574173*c_0101_4^14 + 63110121928932/1165574173*c_0101_4^13 + 243098936442077/1165574173*c_0101_4^12 - 779175773071871/1165574173*c_0101_4^11 + 1122910182749485/1165574173*c_0101_4^10 - 1000677000730693/1165574173*c_0101_4^9 + 576464608669230/1165574173*c_0101_4^8 - 177490392319541/1165574173*c_0101_4^7 - 34064081122199/1165574173*c_0101_4^6 + 86545979224061/1165574173*c_0101_4^5 - 65861568991533/1165574173*c_0101_4^4 + 32459398677136/1165574173*c_0101_4^3 - 10759778231503/1165574173*c_0101_4^2 + 2183663533990/1165574173*c_0101_4 - 205359787850/1165574173, c_0101_4^16 - 1028/217*c_0101_4^15 + 1135/217*c_0101_4^14 + 2761/217*c_0101_4^13 - 10869/217*c_0101_4^12 + 2517/31*c_0101_4^11 - 2525/31*c_0101_4^10 + 11828/217*c_0101_4^9 - 4899/217*c_0101_4^8 + 412/217*c_0101_4^7 + 1230/217*c_0101_4^6 - 1221/217*c_0101_4^5 + 711/217*c_0101_4^4 - 286/217*c_0101_4^3 + 78/217*c_0101_4^2 - 13/217*c_0101_4 + 1/217 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB