Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 3549804540] Type ? for help. Type -D to quit. Loading file "K13n1534__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1534 geometric_solution 9.46005690 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 16 0 -1 -15 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066703643886 1.185208370542 0 5 6 6 0132 0132 3012 0132 0 0 0 0 0 0 0 0 1 0 -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 -16 0 16 0 -15 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688148279842 0.881060363240 3 0 7 7 1023 0132 1230 0132 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 1 0 -1 0 0 0 0 -16 15 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338478047942 1.185676866609 5 2 8 0 0132 1023 0132 0132 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 -1 0 0 1 -16 16 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132007889344 0.555689557435 9 7 0 5 0132 2031 0132 1023 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 -1 1 -15 0 15 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 0.649158305170 0.694054125408 3 1 8 4 0132 0132 1023 1023 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 1 0 0 -1 1 0 0 -1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357006282041 1.008633476110 9 1 1 8 2031 1230 0132 3120 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 -16 0 16 0 0 0 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357006282041 1.008633476110 4 9 2 2 1302 2103 0132 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 1 -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 0.338478047942 1.185676866609 6 9 5 3 3120 0321 1023 0132 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 0 0 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272758569996 1.424663090594 4 7 6 8 0132 2103 1302 0321 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 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154500496020 0.592137590322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_2, c_0101_8, c_0110_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 6019910592505/15202737114298*c_1100_0^13 - 10321694719432/7601368557149*c_1100_0^12 - 36887986108655/7601368557149*c_1100_0^11 - 82715477876874/7601368557149*c_1100_0^10 - 108842157024106/7601368557149*c_1100_0^9 - 219155566297347/15202737114298*c_1100_0^8 - 78729978558819/15202737114298*c_1100_0^7 + 69732739526597/15202737114298*c_1100_0^6 + 139450183642265/7601368557149*c_1100_0^5 + 161755503018187/7601368557149*c_1100_0^4 + 420091715961527/15202737114298*c_1100_0^3 + 229472358944064/7601368557149*c_1100_0^2 + 239784804293025/15202737114298*c_1100_0 + 76281537728993/15202737114298, c_0011_0 - 1, c_0011_4 + 48810234001/113453262047*c_1100_0^13 + 105453881191/113453262047*c_1100_0^12 + 449728587151/113453262047*c_1100_0^11 + 743796722908/113453262047*c_1100_0^10 + 701283783378/113453262047*c_1100_0^9 + 721204754786/113453262047*c_1100_0^8 - 366843683169/113453262047*c_1100_0^7 - 155142574166/113453262047*c_1100_0^6 - 1801247431683/113453262047*c_1100_0^5 - 289416222055/113453262047*c_1100_0^4 - 2590803754477/113453262047*c_1100_0^3 - 565153841512/113453262047*c_1100_0^2 - 596286544490/113453262047*c_1100_0 + 110187581372/113453262047, c_0011_6 + 23807992684/113453262047*c_1100_0^13 + 48620929340/113453262047*c_1100_0^12 + 210484968249/113453262047*c_1100_0^11 + 328864288775/113453262047*c_1100_0^10 + 269884853020/113453262047*c_1100_0^9 + 255114675216/113453262047*c_1100_0^8 - 279246615409/113453262047*c_1100_0^7 - 89674209281/113453262047*c_1100_0^6 - 839360382534/113453262047*c_1100_0^5 + 19541655070/113453262047*c_1100_0^4 - 1135042055324/113453262047*c_1100_0^3 - 124564787607/113453262047*c_1100_0^2 - 141274352726/113453262047*c_1100_0 + 83664019100/113453262047, c_0011_7 - 1, c_0011_8 + 23807992684/113453262047*c_1100_0^13 + 48620929340/113453262047*c_1100_0^12 + 210484968249/113453262047*c_1100_0^11 + 328864288775/113453262047*c_1100_0^10 + 269884853020/113453262047*c_1100_0^9 + 255114675216/113453262047*c_1100_0^8 - 279246615409/113453262047*c_1100_0^7 - 89674209281/113453262047*c_1100_0^6 - 839360382534/113453262047*c_1100_0^5 + 19541655070/113453262047*c_1100_0^4 - 1135042055324/113453262047*c_1100_0^3 - 124564787607/113453262047*c_1100_0^2 - 141274352726/113453262047*c_1100_0 + 83664019100/113453262047, c_0101_0 + 27449577295/113453262047*c_1100_0^13 + 57072126698/113453262047*c_1100_0^12 + 248447701151/113453262047*c_1100_0^11 + 400973467731/113453262047*c_1100_0^10 + 368109720747/113453262047*c_1100_0^9 + 396517671349/113453262047*c_1100_0^8 - 213124195613/113453262047*c_1100_0^7 - 70439106945/113453262047*c_1100_0^6 - 1042487750110/113453262047*c_1100_0^5 - 139618559502/113453262047*c_1100_0^4 - 1482029648871/113453262047*c_1100_0^3 - 303757875380/113453262047*c_1100_0^2 - 288661452398/113453262047*c_1100_0 + 20707389216/113453262047, c_0101_2 + 29132016211/113453262047*c_1100_0^13 + 66836994239/113453262047*c_1100_0^12 + 278157701885/113453262047*c_1100_0^11 + 486035914392/113453262047*c_1100_0^10 + 493686532791/113453262047*c_1100_0^9 + 526832748742/113453262047*c_1100_0^8 - 124147206878/113453262047*c_1100_0^7 - 116525771887/113453262047*c_1100_0^6 - 1079541395042/113453262047*c_1100_0^5 - 314646030643/113453262047*c_1100_0^4 - 1554638846689/113453262047*c_1100_0^3 - 611899236878/113453262047*c_1100_0^2 - 407502743341/113453262047*c_1100_0 - 174427594525/113453262047, c_0101_8 + 11338401591/113453262047*c_1100_0^13 + 21055412230/113453262047*c_1100_0^12 + 100227966438/113453262047*c_1100_0^11 + 147969816624/113453262047*c_1100_0^10 + 138713581604/113453262047*c_1100_0^9 + 167059059871/113453262047*c_1100_0^8 - 91862547179/113453262047*c_1100_0^7 + 46622877370/113453262047*c_1100_0^6 - 398443141944/113453262047*c_1100_0^5 + 71491924379/113453262047*c_1100_0^4 - 711069113934/113453262047*c_1100_0^3 + 23049972394/113453262047*c_1100_0^2 - 168474983640/113453262047*c_1100_0 + 8673279954/113453262047, c_0110_7 + 5522228535/113453262047*c_1100_0^13 + 11870402096/113453262047*c_1100_0^12 + 48121583781/113453262047*c_1100_0^11 + 75747476089/113453262047*c_1100_0^10 + 49144365474/113453262047*c_1100_0^9 + 22343427476/113453262047*c_1100_0^8 - 109089397896/113453262047*c_1100_0^7 - 73088077427/113453262047*c_1100_0^6 - 182399307876/113453262047*c_1100_0^5 - 9108776582/113453262047*c_1100_0^4 - 216024105175/113453262047*c_1100_0^3 + 14230541844/113453262047*c_1100_0^2 + 61414963781/113453262047*c_1100_0 + 151759327096/113453262047, c_1100_0^14 + 2*c_1100_0^13 + 9*c_1100_0^12 + 14*c_1100_0^11 + 13*c_1100_0^10 + 14*c_1100_0^9 - 9*c_1100_0^8 - c_1100_0^7 - 38*c_1100_0^6 - 56*c_1100_0^4 - 3*c_1100_0^3 - 16*c_1100_0^2 + 4*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB