Magma V2.19-8 Wed Aug 21 2013 01:05:25 on localhost [Seed = 3448493377] Type ? for help. Type -D to quit. Loading file "L14n25896__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25896 geometric_solution 12.02019403 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 1 0 0 0 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 0.647478498258 1.085431540835 0 5 6 3 0132 0132 0132 2031 1 1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 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 0.594664744458 0.679503137419 5 0 8 7 3201 0132 0132 0132 1 0 1 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 -1 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 0.281709122823 1.081803614328 3 1 3 0 2031 1302 1302 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449719792485 0.360911117991 5 6 0 5 0321 1023 0132 3012 1 1 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 -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 0.462670831633 1.012386168329 4 1 4 2 0321 0132 1230 2310 1 0 0 1 0 1 -1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409035760913 0.770667536918 4 9 10 1 1023 0132 0132 0132 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 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 0.425971698909 0.641547509683 11 10 2 12 0132 1230 0132 0132 1 0 1 1 0 0 0 0 1 0 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 0 0 -1 0 1 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 0.152680327881 0.550469855268 9 10 12 2 0321 1023 0132 0132 1 0 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 0 0 0 0 0 -1 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340209289445 0.877253361035 8 6 11 11 0321 0132 2031 3012 1 1 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 -1 0 1 -1 0 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 0.615719857556 0.990893126663 8 12 7 6 1023 3012 3012 0132 1 1 0 1 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 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 0.555384263781 0.532524120907 7 12 9 9 0132 0132 1230 1302 1 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 0 0 0 0 0 0 0 1 -1 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 0.615719857556 0.990893126663 10 11 7 8 1230 0132 0132 0132 1 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 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 -1.298768158406 1.040694963617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_12'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_1100_12'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_1100_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_4']), 'c_0011_8' : 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_11']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_1001_0, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 53677869953759575302208385/30437907410281981741305984*c_1100_12^16 - 2428887058355203483456469863/30437907410281981741305984*c_1100_12^1\ 5 - 315597828018323386646683391/15218953705140990870652992*c_1100_1\ 2^14 - 4027972005468699576491407927/3804738426285247717663248*c_110\ 0_12^13 - 6979905093001477275312462895/10145969136760660580435328*c\ _1100_12^12 - 4430611242189229167108974189/422748714031694190851472\ *c_1100_12^11 + 357489142055013080638943820679/30437907410281981741\ 305984*c_1100_12^10 - 283457273024544686210170236095/30437907410281\ 981741305984*c_1100_12^9 + 314690853808208691526454928575/304379074\ 10281981741305984*c_1100_12^8 + 33641849761570309593349293955/30437\ 907410281981741305984*c_1100_12^7 + 133869351092497156986220808687/30437907410281981741305984*c_1100_12\ ^6 + 227918553783446439417575021533/15218953705140990870652992*c_11\ 00_12^5 - 889927064814101534093308279945/30437907410281981741305984\ *c_1100_12^4 + 163412290941978648210212028365/101459691367606605804\ 35328*c_1100_12^3 - 211177782429506938228062434171/1521895370514099\ 0870652992*c_1100_12^2 + 109024663816855103512673763089/30437907410\ 281981741305984*c_1100_12 - 15835325057375367525543574313/304379074\ 10281981741305984, c_0011_0 - 1, c_0011_10 - 971988071718784858265/5871509917106863761826*c_1100_12^16 - 274799578848030319353/5871509917106863761826*c_1100_12^15 - 6372321472762913510960/2935754958553431880913*c_1100_12^14 - 4711048632309227926435/2935754958553431880913*c_1100_12^13 - 132306255052736436851473/5871509917106863761826*c_1100_12^12 + 52735428459096588512635/2935754958553431880913*c_1100_12^11 - 68036343382187404165789/5871509917106863761826*c_1100_12^10 + 96302039468085981110085/5871509917106863761826*c_1100_12^9 + 50724821633525372000307/5871509917106863761826*c_1100_12^8 + 56253468543641959970873/5871509917106863761826*c_1100_12^7 + 199703034386535509279897/5871509917106863761826*c_1100_12^6 - 152072702995889928740496/2935754958553431880913*c_1100_12^5 + 74790557910250917892331/5871509917106863761826*c_1100_12^4 - 114775859416521231896767/5871509917106863761826*c_1100_12^3 - 2594682129755934945593/2935754958553431880913*c_1100_12^2 + 17498774578400911949163/5871509917106863761826*c_1100_12 + 1899864146421136425503/5871509917106863761826, c_0011_11 - 996634878777792926200/20550284709874023166391*c_1100_12^16 - 687679645198367907053/20550284709874023166391*c_1100_12^15 - 3730350012232365726823/5871509917106863761826*c_1100_12^14 - 30393350306096583807819/41100569419748046332782*c_1100_12^13 - 138126638155182221860081/20550284709874023166391*c_1100_12^12 + 50824599021038906444910/20550284709874023166391*c_1100_12^11 - 3575719899326140560355/5871509917106863761826*c_1100_12^10 + 3081138123729868392905/2935754958553431880913*c_1100_12^9 + 111560520354132575233905/20550284709874023166391*c_1100_12^8 + 60905435732182221358068/20550284709874023166391*c_1100_12^7 + 32837191064204216117321/2935754958553431880913*c_1100_12^6 - 215857049247197504132663/20550284709874023166391*c_1100_12^5 - 100596139324137147369795/41100569419748046332782*c_1100_12^4 + 22149982415573171517919/41100569419748046332782*c_1100_12^3 - 224010519945328025530905/41100569419748046332782*c_1100_12^2 + 7323293567975155433758/20550284709874023166391*c_1100_12 + 6605823306530761013648/20550284709874023166391, c_0011_3 + 947295845866848518039/11743019834213727523652*c_1100_12^16 + 78847020090239390365/11743019834213727523652*c_1100_12^15 + 3123855556345737616076/2935754958553431880913*c_1100_12^14 + 3422555462274756491893/5871509917106863761826*c_1100_12^13 + 128821549555073295060575/11743019834213727523652*c_1100_12^12 - 31476744589835930902699/2935754958553431880913*c_1100_12^11 + 105278634401036049067075/11743019834213727523652*c_1100_12^10 - 106759696197098805997491/11743019834213727523652*c_1100_12^9 - 32526753576077829446795/11743019834213727523652*c_1100_12^8 - 49787118568076049718289/11743019834213727523652*c_1100_12^7 - 197159178035770387000113/11743019834213727523652*c_1100_12^6 + 79984038459133328535538/2935754958553431880913*c_1100_12^5 - 159589388982978877495921/11743019834213727523652*c_1100_12^4 + 141371460929388707647397/11743019834213727523652*c_1100_12^3 + 2230401586740507263290/2935754958553431880913*c_1100_12^2 - 6711862385295624716841/11743019834213727523652*c_1100_12 + 6301798227303529596323/11743019834213727523652, c_0011_4 + 1383209604868736586677/2935754958553431880913*c_1100_12^16 + 489203534114300682251/2935754958553431880913*c_1100_12^15 + 18127094546340803334735/2935754958553431880913*c_1100_12^14 + 14676996644206904774227/2935754958553431880913*c_1100_12^13 + 188829958886732589568385/2935754958553431880913*c_1100_12^12 - 137128230645127194098892/2935754958553431880913*c_1100_12^11 + 82208893971451976101535/2935754958553431880913*c_1100_12^10 - 125777321692301888529399/2935754958553431880913*c_1100_12^9 - 71117312194489107826843/2935754958553431880913*c_1100_12^8 - 85490476702678609224181/2935754958553431880913*c_1100_12^7 - 282480606132577200132510/2935754958553431880913*c_1100_12^6 + 408394691581161819199001/2935754958553431880913*c_1100_12^5 - 73876817153230461830120/2935754958553431880913*c_1100_12^4 + 140326999970551088951884/2935754958553431880913*c_1100_12^3 - 1073866273525534969776/2935754958553431880913*c_1100_12^2 - 6616665853466732404039/2935754958553431880913*c_1100_12 - 4823459375316112842187/2935754958553431880913, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 9082021409807463980515/82201138839496092665564*c_1100_12^16 + 3508130824335994091009/82201138839496092665564*c_1100_12^15 + 8489923893662728845453/5871509917106863761826*c_1100_12^14 + 25203595048099933398384/20550284709874023166391*c_1100_12^13 + 1239390740393424151535165/82201138839496092665564*c_1100_12^12 - 213676267881073756715345/20550284709874023166391*c_1100_12^11 + 68086731261562310187901/11743019834213727523652*c_1100_12^10 - 100157675809139301713775/11743019834213727523652*c_1100_12^9 - 624570141320654303337975/82201138839496092665564*c_1100_12^8 - 542379318617152644150601/82201138839496092665564*c_1100_12^7 - 269147089257621098142853/11743019834213727523652*c_1100_12^6 + 652647438642026529732658/20550284709874023166391*c_1100_12^5 - 343003148890016658700397/82201138839496092665564*c_1100_12^4 + 680787881759786477947359/82201138839496092665564*c_1100_12^3 + 159308303937223936194823/41100569419748046332782*c_1100_12^2 - 70397745885700016547941/82201138839496092665564*c_1100_12 - 52212064291178064439367/82201138839496092665564, c_0101_11 + c_1100_12, c_0101_6 - 858337554011301056781/2935754958553431880913*c_1100_12^16 - 247289841653861638085/2935754958553431880913*c_1100_12^15 - 11311855527164843748818/2935754958553431880913*c_1100_12^14 - 8419085321388301505712/2935754958553431880913*c_1100_12^13 - 117639503785547560214578/2935754958553431880913*c_1100_12^12 + 91652586243884441232359/2935754958553431880913*c_1100_12^11 - 67682895462150986623754/2935754958553431880913*c_1100_12^10 + 87370540069841717777053/2935754958553431880913*c_1100_12^9 + 40892239311426272440078/2935754958553431880913*c_1100_12^8 + 52964055026135504139611/2935754958553431880913*c_1100_12^7 + 178264654264778713020429/2935754958553431880913*c_1100_12^6 - 261611925239761061069386/2935754958553431880913*c_1100_12^5 + 77398258692561788287598/2935754958553431880913*c_1100_12^4 - 109016960054891639793426/2935754958553431880913*c_1100_12^3 - 2128257713674013876297/2935754958553431880913*c_1100_12^2 + 5435050700630741139837/2935754958553431880913*c_1100_12 + 1129187434772360568665/2935754958553431880913, c_0101_7 + 858337554011301056781/2935754958553431880913*c_1100_12^16 + 247289841653861638085/2935754958553431880913*c_1100_12^15 + 11311855527164843748818/2935754958553431880913*c_1100_12^14 + 8419085321388301505712/2935754958553431880913*c_1100_12^13 + 117639503785547560214578/2935754958553431880913*c_1100_12^12 - 91652586243884441232359/2935754958553431880913*c_1100_12^11 + 67682895462150986623754/2935754958553431880913*c_1100_12^10 - 87370540069841717777053/2935754958553431880913*c_1100_12^9 - 40892239311426272440078/2935754958553431880913*c_1100_12^8 - 52964055026135504139611/2935754958553431880913*c_1100_12^7 - 178264654264778713020429/2935754958553431880913*c_1100_12^6 + 261611925239761061069386/2935754958553431880913*c_1100_12^5 - 77398258692561788287598/2935754958553431880913*c_1100_12^4 + 109016960054891639793426/2935754958553431880913*c_1100_12^3 + 2128257713674013876297/2935754958553431880913*c_1100_12^2 - 5435050700630741139837/2935754958553431880913*c_1100_12 - 1129187434772360568665/2935754958553431880913, c_1001_0 + 2486054370178355709085/11743019834213727523652*c_1100_12^16 + 910312346525207161975/11743019834213727523652*c_1100_12^15 + 8187999970819106132742/2935754958553431880913*c_1100_12^14 + 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