Magma V2.19-8 Tue Aug 20 2013 23:39:52 on localhost [Seed = 593840021] Type ? for help. Type -D to quit. Loading file "K14n19949__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n19949 geometric_solution 10.31730564 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 0321 0132 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 13 -13 -1 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358178006339 0.418335601346 0 3 0 4 0132 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 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 12 -12 -12 -1 0 13 1 12 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705799484717 0.924159887089 5 0 7 6 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861042900117 0.807428307107 4 1 0 6 0321 2103 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -13 0 13 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206596042516 1.148225030780 3 8 1 6 0321 0132 0132 0321 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 -1 1 0 -12 0 12 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232754791033 0.814296122544 2 7 8 9 0132 3120 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 -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 0.645795138987 0.736222600023 3 4 2 9 3201 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970862988804 0.723496280815 10 5 10 2 0132 3120 0213 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 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315815212778 0.419129918443 5 4 10 9 2031 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.709480688236 0.452018202403 10 8 5 6 2103 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.459725579734 0.942293601354 7 7 9 8 0132 0213 2103 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 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 0.222277025174 1.203901795512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0110_9'], 'c_1010_10' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0110_9']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0110_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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_10, c_0101_8, c_0110_6, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2473072947960708715103805/3258806432394071389558*c_1001_0^19 + 3395165942054846912660037/465543776056295912794*c_1001_0^18 - 55102952115265363564653841/1629403216197035694779*c_1001_0^17 + 18411857909253345802028079/191694496023180669974*c_1001_0^16 - 17254093574071387336245428/95847248011590334987*c_1001_0^15 + 726955410339572798738418093/3258806432394071389558*c_1001_0^14 - 282670123015263873435151092/1629403216197035694779*c_1001_0^13 + 142229056919823944073818012/1629403216197035694779*c_1001_0^12 - 165084764474500888000553228/1629403216197035694779*c_1001_0^11 + 406647844240413937161098571/1629403216197035694779*c_1001_0^10 - 1246303608860508264575405081/3258806432394071389558*c_1001_0^9 + 1161996512800093903577213173/3258806432394071389558*c_1001_0^8 - 2763765939150528826268757/11722325296381551761*c_1001_0^7 + 501254138809811006589420369/3258806432394071389558*c_1001_0^6 - 127172473945911235799829964/1629403216197035694779*c_1001_0^5 - 83059434658335415946538426/1629403216197035694779*c_1001_0^4 + 187651039707614737820457170/1629403216197035694779*c_1001_0^3 - 12057324074757483158340017/250677417876467029966*c_1001_0^2 - 63201545316671298602349365/3258806432394071389558*c_1001_0 + 7402603611591056857540933/465543776056295912794, c_0011_0 - 1, c_0011_10 - 249956933396/4697741201951*c_1001_0^19 + 3471986665333/4697741201951*c_1001_0^18 - 19979123539446/4697741201951*c_1001_0^17 + 67263357121570/4697741201951*c_1001_0^16 - 145858349254288/4697741201951*c_1001_0^15 + 208337389343066/4697741201951*c_1001_0^14 - 187353012014734/4697741201951*c_1001_0^13 + 99216034413718/4697741201951*c_1001_0^12 - 69092777976312/4697741201951*c_1001_0^11 + 182950875792492/4697741201951*c_1001_0^10 - 334868873183813/4697741201951*c_1001_0^9 + 356988309626162/4697741201951*c_1001_0^8 - 249798878284127/4697741201951*c_1001_0^7 + 163326908962807/4697741201951*c_1001_0^6 - 104933157899799/4697741201951*c_1001_0^5 - 20001432286790/4697741201951*c_1001_0^4 + 119621587060420/4697741201951*c_1001_0^3 - 71253959520101/4697741201951*c_1001_0^2 - 6540764336124/4697741201951*c_1001_0 + 12842816591292/4697741201951, c_0011_3 + 48219829884/4697741201951*c_1001_0^19 - 148057748913/4697741201951*c_1001_0^18 - 126708972165/4697741201951*c_1001_0^17 + 1669088637012/4697741201951*c_1001_0^16 - 2849718458532/4697741201951*c_1001_0^15 - 2873853229517/4697741201951*c_1001_0^14 + 20645693249495/4697741201951*c_1001_0^13 - 39251377824328/4697741201951*c_1001_0^12 + 38517601300296/4697741201951*c_1001_0^11 - 17275816353421/4697741201951*c_1001_0^10 + 8001198156675/4697741201951*c_1001_0^9 - 30586436062025/4697741201951*c_1001_0^8 + 63265558392880/4697741201951*c_1001_0^7 - 66030653335880/4697741201951*c_1001_0^6 + 52252838215968/4697741201951*c_1001_0^5 - 53224779448929/4697741201951*c_1001_0^4 + 45034178732217/4697741201951*c_1001_0^3 - 11864541371801/4697741201951*c_1001_0^2 - 11759459349816/4697741201951*c_1001_0 + 5586850260150/4697741201951, c_0011_4 - 767985843626/4697741201951*c_1001_0^19 + 6978473749802/4697741201951*c_1001_0^18 - 31855053160368/4697741201951*c_1001_0^17 + 91381800501632/4697741201951*c_1001_0^16 - 178937090541786/4697741201951*c_1001_0^15 + 242954022840965/4697741201951*c_1001_0^14 - 226764510546822/4697741201951*c_1001_0^13 + 152754538765296/4697741201951*c_1001_0^12 - 138035011960807/4697741201951*c_1001_0^11 + 250702772573699/4697741201951*c_1001_0^10 - 401184031925164/4697741201951*c_1001_0^9 + 433776448325957/4697741201951*c_1001_0^8 - 344985711984055/4697741201951*c_1001_0^7 + 236364086255011/4697741201951*c_1001_0^6 - 142649824327653/4697741201951*c_1001_0^5 + 17714449651586/4697741201951*c_1001_0^4 + 89879711871042/4697741201951*c_1001_0^3 - 75377983862311/4697741201951*c_1001_0^2 + 261440822571/4697741201951*c_1001_0 + 16592590013833/4697741201951, c_0011_9 + 2206967446966/4697741201951*c_1001_0^19 - 19484360459624/4697741201951*c_1001_0^18 + 83702217259172/4697741201951*c_1001_0^17 - 219371139750876/4697741201951*c_1001_0^16 + 376615355292070/4697741201951*c_1001_0^15 - 421292568441371/4697741201951*c_1001_0^14 + 293876112551202/4697741201951*c_1001_0^13 - 160151512495994/4697741201951*c_1001_0^12 + 263798439980711/4697741201951*c_1001_0^11 - 565127596314508/4697741201951*c_1001_0^10 + 744526582957307/4697741201951*c_1001_0^9 - 629300581694691/4697741201951*c_1001_0^8 + 431196185796345/4697741201951*c_1001_0^7 - 311523632046286/4697741201951*c_1001_0^6 + 117316382957898/4697741201951*c_1001_0^5 + 141201647789058/4697741201951*c_1001_0^4 - 184367263697264/4697741201951*c_1001_0^3 + 48000429295344/4697741201951*c_1001_0^2 + 25811475489482/4697741201951*c_1001_0 - 12267249742771/4697741201951, c_0101_0 - 970175380750/4697741201951*c_1001_0^19 + 7809622875884/4697741201951*c_1001_0^18 - 30175274722279/4697741201951*c_1001_0^17 + 68655905142056/4697741201951*c_1001_0^16 - 95574996329182/4697741201951*c_1001_0^15 + 73296327605036/4697741201951*c_1001_0^14 - 20774011414981/4697741201951*c_1001_0^13 + 19275189449514/4697741201951*c_1001_0^12 - 104381446500064/4697741201951*c_1001_0^11 + 183471227652982/4697741201951*c_1001_0^10 - 157843165870939/4697741201951*c_1001_0^9 + 76208896000486/4697741201951*c_1001_0^8 - 58186305801789/4697741201951*c_1001_0^7 + 73961704624341/4697741201951*c_1001_0^6 - 4681228661289/4697741201951*c_1001_0^5 - 52356454662571/4697741201951*c_1001_0^4 - 1772468371250/4697741201951*c_1001_0^3 + 46172236503217/4697741201951*c_1001_0^2 - 8380021621584/4697741201951*c_1001_0 - 12378077925400/4697741201951, c_0101_10 - 834587000794/4697741201951*c_1001_0^19 + 8882079008756/4697741201951*c_1001_0^18 - 44902297612148/4697741201951*c_1001_0^17 + 138993311783372/4697741201951*c_1001_0^16 - 285957619060949/4697741201951*c_1001_0^15 + 397527864086943/4697741201951*c_1001_0^14 - 364159332439598/4697741201951*c_1001_0^13 + 223974782330641/4697741201951*c_1001_0^12 - 191365422722624/4697741201951*c_1001_0^11 + 395379532727779/4697741201951*c_1001_0^10 - 656019778686263/4697741201951*c_1001_0^9 + 696587675042030/4697741201951*c_1001_0^8 - 526822803341620/4697741201951*c_1001_0^7 + 369030094615526/4697741201951*c_1001_0^6 - 239466815872717/4697741201951*c_1001_0^5 + 10009223048526/4697741201951*c_1001_0^4 + 167561653264231/4697741201951*c_1001_0^3 - 109430801804426/4697741201951*c_1001_0^2 - 5489521240303/4697741201951*c_1001_0 + 17270749717264/4697741201951, c_0101_8 - 2138781845236/4697741201951*c_1001_0^19 + 19331878330984/4697741201951*c_1001_0^18 - 85720490862752/4697741201951*c_1001_0^17 + 234625042426807/4697741201951*c_1001_0^16 - 428743055488191/4697741201951*c_1001_0^15 + 528662177205927/4697741201951*c_1001_0^14 - 434047552861583/4697741201951*c_1001_0^13 + 271510892418842/4697741201951*c_1001_0^12 - 318925685484528/4697741201951*c_1001_0^11 + 627970492994766/4697741201951*c_1001_0^10 - 903312935782192/4697741201951*c_1001_0^9 + 871298442582619/4697741201951*c_1001_0^8 - 654760129543207/4697741201951*c_1001_0^7 + 464981271117406/4697741201951*c_1001_0^6 - 238621508457961/4697741201951*c_1001_0^5 - 60546394527687/4697741201951*c_1001_0^4 + 201814274677850/4697741201951*c_1001_0^3 - 106610290656944/4697741201951*c_1001_0^2 - 10332612888341/4697741201951*c_1001_0 + 22434699019391/4697741201951, c_0110_6 - 43360817327/4697741201951*c_1001_0^19 + 477822364828/4697741201951*c_1001_0^18 - 3129703232258/4697741201951*c_1001_0^17 + 13401418499281/4697741201951*c_1001_0^16 - 39323670133880/4697741201951*c_1001_0^15 + 79914193913453/4697741201951*c_1001_0^14 - 111591597482189/4697741201951*c_1001_0^13 + 103404814024104/4697741201951*c_1001_0^12 - 65816219912736/4697741201951*c_1001_0^11 + 59188738713653/4697741201951*c_1001_0^10 - 119064677548729/4697741201951*c_1001_0^9 + 191586195516622/4697741201951*c_1001_0^8 - 198195948442580/4697741201951*c_1001_0^7 + 146625858274135/4697741201951*c_1001_0^6 - 105592016747404/4697741201951*c_1001_0^5 + 81354725706972/4697741201951*c_1001_0^4 - 15278151566555/4697741201951*c_1001_0^3 - 36763273505918/4697741201951*c_1001_0^2 + 18408787071923/4697741201951*c_1001_0 + 8771232355601/4697741201951, c_0110_9 - 323444240030/4697741201951*c_1001_0^19 + 3033936823684/4697741201951*c_1001_0^18 - 14610796022768/4697741201951*c_1001_0^17 + 45537495597987/4697741201951*c_1001_0^16 - 100383610161939/4697741201951*c_1001_0^15 + 161190752064542/4697741201951*c_1001_0^14 - 189919469210085/4697741201951*c_1001_0^13 + 167485712841466/4697741201951*c_1001_0^12 - 136076940012439/4697741201951*c_1001_0^11 + 165933249882487/4697741201951*c_1001_0^10 - 263141457613093/4697741201951*c_1001_0^9 + 342892794570631/4697741201951*c_1001_0^8 - 332729345407225/4697741201951*c_1001_0^7 + 260160229989151/4697741201951*c_1001_0^6 - 184527305039761/4697741201951*c_1001_0^5 + 112674791074325/4697741201951*c_1001_0^4 - 13974663744121/4697741201951*c_1001_0^3 - 44036502587960/4697741201951*c_1001_0^2 + 21756491401613/4697741201951*c_1001_0 + 7107326124488/4697741201951, c_1001_0^20 - 9*c_1001_0^19 + 39*c_1001_0^18 - 102*c_1001_0^17 + 171*c_1001_0^16 - 177*c_1001_0^15 + 94*c_1001_0^14 - 20*c_1001_0^13 + 87*c_1001_0^12 - 257*c_1001_0^11 + 334*c_1001_0^10 - 233*c_1001_0^9 + 107*c_1001_0^8 - 71*c_1001_0^7 + 13*c_1001_0^6 + 103*c_1001_0^5 - 107*c_1001_0^4 - 3*c_1001_0^3 + 44*c_1001_0^2 - 8*c_1001_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.540 Total time: 0.750 seconds, Total memory usage: 32.09MB