Magma V2.19-8 Tue Aug 20 2013 23:39:19 on localhost [Seed = 1309157918] Type ? for help. Type -D to quit. Loading file "K13n2528__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2528 geometric_solution 9.47507306 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.356100163601 0.815661238602 0 0 4 3 0132 2310 0132 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 -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 -0.064973859662 0.581309970984 0 0 5 5 2310 0132 2310 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 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 1.736025963460 1.282358406410 6 7 1 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172958457058 0.716973102594 4 4 8 1 1302 2031 0132 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 0.335832691967 1.071649123314 9 2 2 8 0132 3201 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388430028840 0.534031610872 3 10 10 9 0132 0132 0321 0213 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 -1 0 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 0.601801598862 0.981680655805 9 3 10 8 1230 0132 0132 0321 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 1 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 0.586125178603 0.748449838656 5 7 3 4 3201 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 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 -0.858722601344 1.876916951174 5 7 10 6 0132 3012 2103 0213 0 0 0 0 0 -1 1 0 0 0 -1 1 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 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 0.474270816626 0.320102765805 9 6 6 7 2103 0132 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.601801598862 0.981680655805 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_6'], 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0011_5'], 'c_1100_10' : d['c_1001_6'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_0']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_10']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7835007465429744330519/49306614511200847489711*c_1100_1^11 - 34479300689742020580275/49306614511200847489711*c_1100_1^10 - 179687993834575227228709/49306614511200847489711*c_1100_1^9 - 496192453178530229032762/49306614511200847489711*c_1100_1^8 - 1212765846485502909406594/49306614511200847489711*c_1100_1^7 - 1750840240945082219396203/49306614511200847489711*c_1100_1^6 - 1699919474081209846976894/49306614511200847489711*c_1100_1^5 + 217630403042634556496543/49306614511200847489711*c_1100_1^4 + 1851595919442302283400011/49306614511200847489711*c_1100_1^3 + 2179028044988426588600818/49306614511200847489711*c_1100_1^2 + 781713263095601960632/49306614511200847489711*c_1100_1 - 463205263743754915191068/49306614511200847489711, c_0011_0 - 1, c_0011_10 + 340343429147/259869593522157*c_1100_1^11 - 150271405123/86623197840719*c_1100_1^10 - 3109629398146/259869593522157*c_1100_1^9 - 7921377220558/86623197840719*c_1100_1^8 - 30444428809417/86623197840719*c_1100_1^7 - 69264350700127/86623197840719*c_1100_1^6 - 114247203706523/86623197840719*c_1100_1^5 - 182164206384182/259869593522157*c_1100_1^4 + 192288328972139/259869593522157*c_1100_1^3 + 176177770385362/86623197840719*c_1100_1^2 + 145712111915140/259869593522157*c_1100_1 - 206619383985220/259869593522157, c_0011_4 + 173810593466/259869593522157*c_1100_1^11 + 6443493261/86623197840719*c_1100_1^10 + 1003781976566/259869593522157*c_1100_1^9 - 1609276557551/86623197840719*c_1100_1^8 - 4373097213841/86623197840719*c_1100_1^7 - 18235965105025/86623197840719*c_1100_1^6 - 22510982512011/86623197840719*c_1100_1^5 - 57450880278155/259869593522157*c_1100_1^4 + 126964211344631/259869593522157*c_1100_1^3 + 81930553387795/86623197840719*c_1100_1^2 + 257571595628095/259869593522157*c_1100_1 - 73071250367701/259869593522157, c_0011_5 + 422232673831/86623197840719*c_1100_1^11 + 2232296075377/86623197840719*c_1100_1^10 + 10851024946499/86623197840719*c_1100_1^9 + 32431132143601/86623197840719*c_1100_1^8 + 76108511835433/86623197840719*c_1100_1^7 + 112100645012997/86623197840719*c_1100_1^6 + 85564898893360/86623197840719*c_1100_1^5 - 61277517035081/86623197840719*c_1100_1^4 - 202791700180952/86623197840719*c_1100_1^3 - 135459292582459/86623197840719*c_1100_1^2 + 53601577436405/86623197840719*c_1100_1 + 104991668694173/86623197840719, c_0101_0 + 1512128380816/259869593522157*c_1100_1^11 + 1974438780709/86623197840719*c_1100_1^10 + 30203014478185/259869593522157*c_1100_1^9 + 24580936543346/86623197840719*c_1100_1^8 + 54445675619582/86623197840719*c_1100_1^7 + 54384606463238/86623197840719*c_1100_1^6 + 12513774833045/86623197840719*c_1100_1^5 - 315952254073759/259869593522157*c_1100_1^4 - 371344642318202/259869593522157*c_1100_1^3 + 2760907542854/86623197840719*c_1100_1^2 + 145875062076629/259869593522157*c_1100_1 + 277206430771693/259869593522157, c_0101_1 + 1512128380816/259869593522157*c_1100_1^11 + 1974438780709/86623197840719*c_1100_1^10 + 30203014478185/259869593522157*c_1100_1^9 + 24580936543346/86623197840719*c_1100_1^8 + 54445675619582/86623197840719*c_1100_1^7 + 54384606463238/86623197840719*c_1100_1^6 + 12513774833045/86623197840719*c_1100_1^5 - 315952254073759/259869593522157*c_1100_1^4 - 371344642318202/259869593522157*c_1100_1^3 + 2760907542854/86623197840719*c_1100_1^2 + 405744655598786/259869593522157*c_1100_1 + 277206430771693/259869593522157, c_0101_10 - 725484596195/259869593522157*c_1100_1^11 - 1492052235034/86623197840719*c_1100_1^10 - 22393744927631/259869593522157*c_1100_1^9 - 24323901353519/86623197840719*c_1100_1^8 - 60737248383972/86623197840719*c_1100_1^7 - 106320851311084/86623197840719*c_1100_1^6 - 102836846315633/86623197840719*c_1100_1^5 - 58784103655726/259869593522157*c_1100_1^4 + 459123061920643/259869593522157*c_1100_1^3 + 169099796086546/86623197840719*c_1100_1^2 + 65341162433150/259869593522157*c_1100_1 - 356593016620508/259869593522157, c_0101_2 + 544017474494/259869593522157*c_1100_1^11 + 1206141090782/86623197840719*c_1100_1^10 + 15284371502129/259869593522157*c_1100_1^9 + 16999737535366/86623197840719*c_1100_1^8 + 34926714360714/86623197840719*c_1100_1^7 + 52000422129820/86623197840719*c_1100_1^6 + 11600875239069/86623197840719*c_1100_1^5 - 199531361792630/259869593522157*c_1100_1^4 - 472973230961035/259869593522157*c_1100_1^3 - 28511170797750/86623197840719*c_1100_1^2 + 376829832751246/259869593522157*c_1100_1 + 406615102126046/259869593522157, c_0101_7 + 4009133363108/259869593522157*c_1100_1^11 + 4694447311323/86623197840719*c_1100_1^10 + 75278820466625/259869593522157*c_1100_1^9 + 58029218796988/86623197840719*c_1100_1^8 + 128473413699604/86623197840719*c_1100_1^7 + 125309150172282/86623197840719*c_1100_1^6 + 22956861844878/86623197840719*c_1100_1^5 - 725203668259517/259869593522157*c_1100_1^4 - 856525255249789/259869593522157*c_1100_1^3 - 54838212676677/86623197840719*c_1100_1^2 + 715898332152364/259869593522157*c_1100_1 + 476724163143611/259869593522157, c_1001_6 - 736185612881/259869593522157*c_1100_1^11 - 1506189550373/86623197840719*c_1100_1^10 - 22287729466541/259869593522157*c_1100_1^9 - 23047708737710/86623197840719*c_1100_1^8 - 57056501620279/86623197840719*c_1100_1^7 - 83875660648229/86623197840719*c_1100_1^6 - 66192270695881/86623197840719*c_1100_1^5 + 230952639054722/259869593522157*c_1100_1^4 + 625044799696180/259869593522157*c_1100_1^3 + 176774266024867/86623197840719*c_1100_1^2 - 323899861386007/259869593522157*c_1100_1 - 599935559194949/259869593522157, c_1100_1^12 + 5*c_1100_1^11 + 25*c_1100_1^10 + 74*c_1100_1^9 + 177*c_1100_1^8 + 267*c_1100_1^7 + 225*c_1100_1^6 - 112*c_1100_1^5 - 502*c_1100_1^4 - 499*c_1100_1^3 + 32*c_1100_1^2 + 437*c_1100_1 + 257 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB