Magma V2.19-8 Tue Aug 20 2013 23:38:27 on localhost [Seed = 3203979910] Type ? for help. Type -D to quit. Loading file "K14n22185__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22185 geometric_solution 8.87815966 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 0 0 0 0 0 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 0.724015955485 0.362743730747 0 5 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 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 0.766120418147 0.373798184732 3 0 4 6 2310 0132 2310 1023 0 0 0 0 0 0 1 -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 1 -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 0.087611717447 1.294140462945 8 5 2 0 0132 1302 3201 0132 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 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 0.367982734803 0.878026139223 7 2 0 5 2310 3201 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087611717447 1.294140462945 4 1 8 3 3201 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839620978493 0.736408178448 8 9 1 2 2103 0132 0132 1023 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 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 0 0 0 0.248190509217 0.651260321387 9 9 4 1 2310 1023 3201 0132 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 -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 -0.045366905662 0.999391633577 3 9 6 5 0132 0321 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.482593933748 1.203352401903 7 6 7 8 1023 0132 3201 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 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 0.137029726296 1.446899908574 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_6'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0110_6']), 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], '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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 181626553029176254457612213693131294376/101722413390262243390795480\ 44207280605*c_1001_5^12 - 457209803230879415521650866367335915881/2\ 260498075339160964239899565379395690*c_1001_5^11 + 23893288637712794732214702533681963695327/2034448267805244867815909\ 6088414561210*c_1001_5^10 - 494758491938587010646822372800127758093\ 7/1130249037669580482119949782689697845*c_1001_5^9 + 811020702696181486239297695595147455437/701533885450084437177899865\ 11774349*c_1001_5^8 - 231731665820166453430481182709267117328673/10\ 172241339026224339079548044207280605*c_1001_5^7 + 348958545376002086974157276046845219631253/101722413390262243390795\ 48044207280605*c_1001_5^6 - 444721814204481227526196615119332908483\ 83/1130249037669580482119949782689697845*c_1001_5^5 + 352991795402892866455153548151871230585301/101722413390262243390795\ 48044207280605*c_1001_5^4 - 539539876142075014576269314809400288688\ 7/218757878258628480410312861165747970*c_1001_5^3 + 63840493033104354696917816991190219374845/4068896535610489735631819\ 217682912242*c_1001_5^2 - 18341236754537406476235963042111805359263\ /2260498075339160964239899565379395690*c_1001_5 + 49510898950713767892795515413035582532889/2034448267805244867815909\ 6088414561210, c_0011_0 - 1, c_0011_3 - 297847569059272494901056/6769149994137523214004481*c_1001_5^\ 12 + 3465897129358748184845196/6769149994137523214004481*c_1001_5^1\ 1 - 40787200622367675104990425/13538299988275046428008962*c_1001_5^\ 10 + 153290597327734843956199559/13538299988275046428008962*c_1001_\ 5^9 - 202799962713011863595566712/6769149994137523214004481*c_1001_\ 5^8 + 398139294626160151727016692/6769149994137523214004481*c_1001_\ 5^7 - 1189173038570435534392103603/13538299988275046428008962*c_100\ 1_5^6 + 1344827189810976281452233103/13538299988275046428008962*c_1\ 001_5^5 - 1157204865632289509107212415/13538299988275046428008962*c\ _1001_5^4 + 809016162416993023924244677/13538299988275046428008962*\ c_1001_5^3 - 508607200677527614560462407/13538299988275046428008962\ *c_1001_5^2 + 255178274310876466721390683/1353829998827504642800896\ 2*c_1001_5 - 33643703070381881218782134/6769149994137523214004481, c_0011_4 - 8768618233198686081584/6769149994137523214004481*c_1001_5^12 - 287250382744200144349313/6769149994137523214004481*c_1001_5^11 + 6881207976249562029468935/13538299988275046428008962*c_1001_5^10 - 19218682337235465095322174/6769149994137523214004481*c_1001_5^9 + 132784022496683558729814451/13538299988275046428008962*c_1001_5^8 - 158652620415857679778338072/6769149994137523214004481*c_1001_5^7 + 556423457080472249651948665/13538299988275046428008962*c_1001_5^6 - 364482859577149214852482743/6769149994137523214004481*c_1001_5^5 + 346579484981874694568898730/6769149994137523214004481*c_1001_5^4 - 248891661102717150160483121/6769149994137523214004481*c_1001_5^3 + 160392347912455577381067947/6769149994137523214004481*c_1001_5^2 - 94468430245416453533888031/6769149994137523214004481*c_1001_5 + 55212092982078185867905481/13538299988275046428008962, c_0011_6 + 301601023518804781188160/6769149994137523214004481*c_1001_5^\ 12 - 3144004870215441513754636/6769149994137523214004481*c_1001_5^1\ 1 + 33965773183858136726834863/13538299988275046428008962*c_1001_5^\ 10 - 58541524658951818163667962/6769149994137523214004481*c_1001_5^\ 9 + 142480334223345816197703994/6769149994137523214004481*c_1001_5^\ 8 - 515571522767709494384294083/13538299988275046428008962*c_1001_5\ ^7 + 353878047870721048043560873/6769149994137523214004481*c_1001_5\ ^6 - 727586544516675262841290151/13538299988275046428008962*c_1001_\ 5^5 + 291995938421572247748753905/6769149994137523214004481*c_1001_\ 5^4 - 199800340431182731708196945/6769149994137523214004481*c_1001_\ 5^3 + 253852334435947256764468891/13538299988275046428008962*c_1001\ _5^2 - 106269110673126022512513181/13538299988275046428008962*c_100\ 1_5 + 19305694326559834373040467/13538299988275046428008962, c_0101_0 + 410919373685351361079112/6769149994137523214004481*c_1001_5^\ 12 - 9049449161129020835071333/13538299988275046428008962*c_1001_5^\ 11 + 25695623668882663309226305/6769149994137523214004481*c_1001_5^\ 10 - 187186136631718594702764169/13538299988275046428008962*c_1001_\ 5^9 + 241466291294217439649043089/6769149994137523214004481*c_1001_\ 5^8 - 928459151877826154171618667/13538299988275046428008962*c_1001\ _5^7 + 680071488965865736864691603/6769149994137523214004481*c_1001\ _5^6 - 754594506064518429161668700/6769149994137523214004481*c_1001\ _5^5 + 642973002757901722517003158/6769149994137523214004481*c_1001\ _5^4 - 444071890129595562061767214/6769149994137523214004481*c_1001\ _5^3 + 284973884109907720531365123/6769149994137523214004481*c_1001\ _5^2 - 281743528305782027621506569/13538299988275046428008962*c_100\ 1_5 + 36392637684599616365986649/6769149994137523214004481, c_0101_1 - 225574173872043751386760/6769149994137523214004481*c_1001_5^\ 12 + 5068840413820216677430749/13538299988275046428008962*c_1001_5^\ 11 - 28817107391299413913158793/13538299988275046428008962*c_1001_5\ ^10 + 104340696042275507321948943/13538299988275046428008962*c_1001\ _5^9 - 132417404540352300723696475/6769149994137523214004481*c_1001\ _5^8 + 496866378027913886962197067/13538299988275046428008962*c_100\ 1_5^7 - 351843904575724279011464508/6769149994137523214004481*c_100\ 1_5^6 + 371479201008582718122486560/6769149994137523214004481*c_100\ 1_5^5 - 294447097447690138265859578/6769149994137523214004481*c_100\ 1_5^4 + 193381786530176108429556573/6769149994137523214004481*c_100\ 1_5^3 - 237687201583796927534636251/13538299988275046428008962*c_10\ 01_5^2 + 109635359318602254198808537/13538299988275046428008962*c_1\ 001_5 - 13931653457947704023957491/13538299988275046428008962, c_0101_2 - 12518291963065300598304/6769149994137523214004481*c_1001_5^1\ 2 + 79493331981750581742202/6769149994137523214004481*c_1001_5^11 - 161985819744363632292442/6769149994137523214004481*c_1001_5^10 - 618535343668125769102035/6769149994137523214004481*c_1001_5^9 + 10229423008579284083750191/13538299988275046428008962*c_1001_5^8 - 17699209336121293476367838/6769149994137523214004481*c_1001_5^7 + 78993926433256953699587171/13538299988275046428008962*c_1001_5^6 - 62345192128320100679775975/6769149994137523214004481*c_1001_5^5 + 68869128060918902077596419/6769149994137523214004481*c_1001_5^4 - 53679597826582798715525671/6769149994137523214004481*c_1001_5^3 + 56759559635563657111411813/13538299988275046428008962*c_1001_5^2 - 18378976298406695343353560/6769149994137523214004481*c_1001_5 + 10030209920264684083067984/6769149994137523214004481, c_0101_3 - 76338095099171127844968/6769149994137523214004481*c_1001_5^1\ 2 + 1436829309163387672547561/13538299988275046428008962*c_1001_5^1\ 1 - 6705497778660294646769173/13538299988275046428008962*c_1001_5^1\ 0 + 18387921089141987657334911/13538299988275046428008962*c_1001_5^\ 9 - 15135264509703132681525193/6769149994137523214004481*c_1001_5^8 + 23559371902597862846831567/13538299988275046428008962*c_1001_5^7 + 9080972082466713155100579/6769149994137523214004481*c_1001_5^6 - 42841561507846952143728878/6769149994137523214004481*c_1001_5^5 + 60355000935039714299695430/6769149994137523214004481*c_1001_5^4 - 45468513273586211313157173/6769149994137523214004481*c_1001_5^3 + 55623360261311919912464633/13538299988275046428008962*c_1001_5^2 - 58576660278925537074388235/13538299988275046428008962*c_1001_5 + 24366133247415346910662927/13538299988275046428008962, c_0110_6 - 225574173872043751386760/6769149994137523214004481*c_1001_5^\ 12 + 5068840413820216677430749/13538299988275046428008962*c_1001_5^\ 11 - 28817107391299413913158793/13538299988275046428008962*c_1001_5\ ^10 + 104340696042275507321948943/13538299988275046428008962*c_1001\ _5^9 - 132417404540352300723696475/6769149994137523214004481*c_1001\ _5^8 + 496866378027913886962197067/13538299988275046428008962*c_100\ 1_5^7 - 351843904575724279011464508/6769149994137523214004481*c_100\ 1_5^6 + 371479201008582718122486560/6769149994137523214004481*c_100\ 1_5^5 - 294447097447690138265859578/6769149994137523214004481*c_100\ 1_5^4 + 193381786530176108429556573/6769149994137523214004481*c_100\ 1_5^3 - 237687201583796927534636251/13538299988275046428008962*c_10\ 01_5^2 + 109635359318602254198808537/13538299988275046428008962*c_1\ 001_5 - 13931653457947704023957491/13538299988275046428008962, c_1001_5^13 - 189/16*c_1001_5^12 + 285/4*c_1001_5^11 - 2215/8*c_1001_5^10 + 6123/8*c_1001_5^9 - 25383/16*c_1001_5^8 + 5063/2*c_1001_5^7 - 12477/4*c_1001_5^6 + 23905/8*c_1001_5^5 - 18365/8*c_1001_5^4 + 12173/8*c_1001_5^3 - 6873/8*c_1001_5^2 + 2747/8*c_1001_5 - 989/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB