Magma V2.19-8 Tue Aug 20 2013 23:40:05 on localhost [Seed = 3002390043] Type ? for help. Type -D to quit. Loading file "K14n3609__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n3609 geometric_solution 10.39484969 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 2 0 -2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277829492289 0.853996498083 0 1 1 4 0132 3201 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212463031669 0.974249716756 5 0 5 6 0132 0132 1023 0132 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 -1 0 1 0 0 0 0 -3 3 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253777981510 0.669422462276 7 8 5 0 0132 0132 1230 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 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331621641631 0.543529900083 1 6 0 5 3012 1023 0132 0321 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 1 -1 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577348307581 0.682738255833 2 4 2 3 0132 0321 1023 3012 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 1 0 -1 0 0 0 0 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253777981510 0.669422462276 4 7 2 8 1023 0213 0132 0213 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 1 -1 0 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181984333244 1.340732683885 3 9 6 10 0132 0132 0213 0132 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 -1 1 0 0 0 0 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488743499642 0.786755666143 10 3 9 6 0132 0132 0132 0213 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 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488743499642 0.786755666143 10 7 10 8 1023 0132 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 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060043059120 1.351745108886 8 9 7 9 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 1 -1 0 0 0 0 0 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060043059120 1.351745108886 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0101_8'], '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' : d['c_1010_6'], 'c_1100_8' : d['c_1010_6'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1010_6'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : d['c_1010_6'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_3'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_4'], '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_8'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0101_10'])})} 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_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_1001_0, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 277373631228102946329051259/259513422832022960466675*c_1010_6^17 - 1033932949224889438935471427/259513422832022960466675*c_1010_6^16 + 396771093855548994693236054/86504474277340986822225*c_1010_6^15 - 480664164806751241428993989/86504474277340986822225*c_1010_6^14 + 741533861598636439524539516/86504474277340986822225*c_1010_6^13 - 7611301996903346781270838/259513422832022960466675*c_1010_6^12 + 335352613433868599696975243/86504474277340986822225*c_1010_6^11 - 4266061857936563688495658309/259513422832022960466675*c_1010_6^10 + 2198137616863647664977787196/259513422832022960466675*c_1010_6^9 - 675857460079761352101190954/259513422832022960466675*c_1010_6^8 + 317781964456856513703131902/51902684566404592093335*c_1010_6^7 - 2589211049487158164848937858/259513422832022960466675*c_1010_6^6 - 22553324001767924094988114/17300894855468197364445*c_1010_6^5 - 1292284061056473110341581589/259513422832022960466675*c_1010_6^4 + 20357498855018491753660173/5766964951822732454815*c_1010_6^3 - 347703127162458833232850648/259513422832022960466675*c_1010_6^2 + 29101646546065808647823414/28834824759113662274075*c_1010_6 - 98579149847687486569250069/259513422832022960466675, c_0011_0 - 1, c_0011_10 - c_1010_6, c_0011_4 + 10117972874022332272390/1153392990364546490963*c_1010_6^17 - 34619271549962212370287/1153392990364546490963*c_1010_6^16 + 34601935722729220155322/1153392990364546490963*c_1010_6^15 - 45502357634004488046889/1153392990364546490963*c_1010_6^14 + 67831326840717423228497/1153392990364546490963*c_1010_6^13 + 13239374506589355312468/1153392990364546490963*c_1010_6^12 + 44775928219303799004386/1153392990364546490963*c_1010_6^11 - 135157477655872023728725/1153392990364546490963*c_1010_6^10 + 61059257206947521558328/1153392990364546490963*c_1010_6^9 - 5418687208241138831302/1153392990364546490963*c_1010_6^8 + 63865569401197022335865/1153392990364546490963*c_1010_6^7 - 72597495244799721056447/1153392990364546490963*c_1010_6^6 - 13489149751403144543567/1153392990364546490963*c_1010_6^5 - 40909985972989745952002/1153392990364546490963*c_1010_6^4 + 30154185538640872599012/1153392990364546490963*c_1010_6^3 - 7301590490916201648284/1153392990364546490963*c_1010_6^2 + 7344467676742078487978/1153392990364546490963*c_1010_6 - 2264512774285543298782/1153392990364546490963, c_0101_1 - 13551116432142304007694/1153392990364546490963*c_1010_6^17 + 35004513438885056174646/1153392990364546490963*c_1010_6^16 - 21450354300938917251000/1153392990364546490963*c_1010_6^15 + 52961857529720233192620/1153392990364546490963*c_1010_6^14 - 47884197594884710490985/1153392990364546490963*c_1010_6^13 - 46445779173666906248413/1153392990364546490963*c_1010_6^12 - 108199760599593578908655/1153392990364546490963*c_1010_6^11 + 63937057416597000052414/1153392990364546490963*c_1010_6^10 - 65256514814251121176706/1153392990364546490963*c_1010_6^9 - 30355193642003350070528/1153392990364546490963*c_1010_6^8 - 107586779479768669092065/1153392990364546490963*c_1010_6^7 - 12203036207797351631876/1153392990364546490963*c_1010_6^6 - 27481627211195193804718/1153392990364546490963*c_1010_6^5 + 22689454126848823603390/1153392990364546490963*c_1010_6^4 - 14814315258655888863005/1153392990364546490963*c_1010_6^3 + 8766294543302052807359/1153392990364546490963*c_1010_6^2 - 2869753436721977751777/1153392990364546490963*c_1010_6 + 538081842813159868113/1153392990364546490963, c_0101_10 + 6694911466417027761942/1153392990364546490963*c_1010_6^17 - 30026003076103414552302/1153392990364546490963*c_1010_6^16 + 39721713061164117958629/1153392990364546490963*c_1010_6^15 - 37289287809454446019038/1153392990364546490963*c_1010_6^14 + 70559181870683448322801/1153392990364546490963*c_1010_6^13 - 11095234779219703079554/1153392990364546490963*c_1010_6^12 - 728089013850621023480/1153392990364546490963*c_1010_6^11 - 152284658492041646872976/1153392990364546490963*c_1010_6^10 + 61830401423984120301156/1153392990364546490963*c_1010_6^9 - 26389279749594618484184/1153392990364546490963*c_1010_6^8 + 22283257254774105118447/1153392990364546490963*c_1010_6^7 - 107932051463758605696029/1153392990364546490963*c_1010_6^6 - 29397551813335194202217/1153392990364546490963*c_1010_6^5 - 40202545488694463733054/1153392990364546490963*c_1010_6^4 + 32397754840288108205277/1153392990364546490963*c_1010_6^3 - 7736310880791322983186/1153392990364546490963*c_1010_6^2 + 7555181837409032196729/1153392990364546490963*c_1010_6 - 2879089130887381609124/1153392990364546490963, c_0101_2 - 5810247429383243865619/1153392990364546490963*c_1010_6^17 + 14702834675708977060126/1153392990364546490963*c_1010_6^16 - 5873413336562191209089/1153392990364546490963*c_1010_6^15 + 17386204703552900270403/1153392990364546490963*c_1010_6^14 - 19729837856041477459897/1153392990364546490963*c_1010_6^13 - 28235612874147734955989/1153392990364546490963*c_1010_6^12 - 45270226978095829932772/1153392990364546490963*c_1010_6^11 + 40394919414966048863668/1153392990364546490963*c_1010_6^10 - 1521261294784962241805/1153392990364546490963*c_1010_6^9 - 11146690543571079452387/1153392990364546490963*c_1010_6^8 - 44894151120034249435299/1153392990364546490963*c_1010_6^7 + 6653061633498209720590/1153392990364546490963*c_1010_6^6 + 11445693439030806515739/1153392990364546490963*c_1010_6^5 + 25974086620081219959098/1153392990364546490963*c_1010_6^4 - 623653122265382093145/1153392990364546490963*c_1010_6^3 + 3189576937105371223162/1153392990364546490963*c_1010_6^2 - 2090234755617173514043/1153392990364546490963*c_1010_6 + 616576503717347524906/1153392990364546490963, c_0101_5 + 5810247429383243865619/1153392990364546490963*c_1010_6^17 - 14702834675708977060126/1153392990364546490963*c_1010_6^16 + 5873413336562191209089/1153392990364546490963*c_1010_6^15 - 17386204703552900270403/1153392990364546490963*c_1010_6^14 + 19729837856041477459897/1153392990364546490963*c_1010_6^13 + 28235612874147734955989/1153392990364546490963*c_1010_6^12 + 45270226978095829932772/1153392990364546490963*c_1010_6^11 - 40394919414966048863668/1153392990364546490963*c_1010_6^10 + 1521261294784962241805/1153392990364546490963*c_1010_6^9 + 11146690543571079452387/1153392990364546490963*c_1010_6^8 + 44894151120034249435299/1153392990364546490963*c_1010_6^7 - 6653061633498209720590/1153392990364546490963*c_1010_6^6 - 11445693439030806515739/1153392990364546490963*c_1010_6^5 - 25974086620081219959098/1153392990364546490963*c_1010_6^4 + 623653122265382093145/1153392990364546490963*c_1010_6^3 - 3189576937105371223162/1153392990364546490963*c_1010_6^2 + 2090234755617173514043/1153392990364546490963*c_1010_6 - 616576503717347524906/1153392990364546490963, c_0101_8 - 3906086283276007468793/1153392990364546490963*c_1010_6^17 - 3584302931503041415689/1153392990364546490963*c_1010_6^16 + 25445749014966607991426/1153392990364546490963*c_1010_6^15 + 3555936283197573694734/1153392990364546490963*c_1010_6^14 + 34194087762893087032242/1153392990364546490963*c_1010_6^13 - 50130605289657760463820/1153392990364546490963*c_1010_6^12 - 91028799432765313387617/1153392990364546490963*c_1010_6^11 - 106964544101264853494456/1153392990364546490963*c_1010_6^10 + 21849401668503926190368/1153392990364546490963*c_1010_6^9 - 47780192360713148658685/1153392990364546490963*c_1010_6^8 - 69815675097710150595391/1153392990364546490963*c_1010_6^7 - 124367541092132424383247/1153392990364546490963*c_1010_6^6 - 45077117775670590999708/1153392990364546490963*c_1010_6^5 - 17745853855780775492449/1153392990364546490963*c_1010_6^4 + 22964642724391903219999/1153392990364546490963*c_1010_6^3 - 3396690304589201258305/1153392990364546490963*c_1010_6^2 + 4260962249311235438481/1153392990364546490963*c_1010_6 - 2652885920395013448337/1153392990364546490963, c_1001_0 + 6694911466417027761942/1153392990364546490963*c_1010_6^17 - 30026003076103414552302/1153392990364546490963*c_1010_6^16 + 39721713061164117958629/1153392990364546490963*c_1010_6^15 - 37289287809454446019038/1153392990364546490963*c_1010_6^14 + 70559181870683448322801/1153392990364546490963*c_1010_6^13 - 11095234779219703079554/1153392990364546490963*c_1010_6^12 - 728089013850621023480/1153392990364546490963*c_1010_6^11 - 152284658492041646872976/1153392990364546490963*c_1010_6^10 + 61830401423984120301156/1153392990364546490963*c_1010_6^9 - 26389279749594618484184/1153392990364546490963*c_1010_6^8 + 22283257254774105118447/1153392990364546490963*c_1010_6^7 - 107932051463758605696029/1153392990364546490963*c_1010_6^6 - 29397551813335194202217/1153392990364546490963*c_1010_6^5 - 40202545488694463733054/1153392990364546490963*c_1010_6^4 + 32397754840288108205277/1153392990364546490963*c_1010_6^3 - 7736310880791322983186/1153392990364546490963*c_1010_6^2 + 7555181837409032196729/1153392990364546490963*c_1010_6 - 2879089130887381609124/1153392990364546490963, c_1001_3 + 10117972874022332272390/1153392990364546490963*c_1010_6^17 - 34619271549962212370287/1153392990364546490963*c_1010_6^16 + 34601935722729220155322/1153392990364546490963*c_1010_6^15 - 45502357634004488046889/1153392990364546490963*c_1010_6^14 + 67831326840717423228497/1153392990364546490963*c_1010_6^13 + 13239374506589355312468/1153392990364546490963*c_1010_6^12 + 44775928219303799004386/1153392990364546490963*c_1010_6^11 - 135157477655872023728725/1153392990364546490963*c_1010_6^10 + 61059257206947521558328/1153392990364546490963*c_1010_6^9 - 5418687208241138831302/1153392990364546490963*c_1010_6^8 + 63865569401197022335865/1153392990364546490963*c_1010_6^7 - 72597495244799721056447/1153392990364546490963*c_1010_6^6 - 13489149751403144543567/1153392990364546490963*c_1010_6^5 - 40909985972989745952002/1153392990364546490963*c_1010_6^4 + 30154185538640872599012/1153392990364546490963*c_1010_6^3 - 7301590490916201648284/1153392990364546490963*c_1010_6^2 + 7344467676742078487978/1153392990364546490963*c_1010_6 - 2264512774285543298782/1153392990364546490963, c_1010_6^18 - 37/17*c_1010_6^17 + 14/17*c_1010_6^16 - 69/17*c_1010_6^15 + 42/17*c_1010_6^14 + 64/17*c_1010_6^13 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