Magma V2.19-8 Wed Aug 21 2013 01:08:08 on localhost [Seed = 256448049] Type ? for help. Type -D to quit. Loading file "L14n38592__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38592 geometric_solution 12.02019403 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 -5 -1 6 5 0 -5 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 0.594664744458 0.679503137419 0 5 4 6 0132 0132 1230 0132 0 0 1 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 6 -6 0 -5 0 0 5 1 6 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647478498258 1.085431540835 6 0 6 5 0321 0132 1230 2310 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 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409035760913 0.770667536918 6 7 8 0 1023 0132 0132 0132 0 0 1 1 0 1 -1 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 -6 5 1 0 0 -5 5 0 1 0 -1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425971698909 0.641547509683 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 -1 1 0 1 0 0 -1 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 6 -6 0 -6 0 0 6 -6 6 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270663820080 0.833387597141 2 1 9 10 3201 0132 0132 0132 0 1 0 1 0 1 0 -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 -6 0 6 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281709122823 1.081803614328 2 3 1 2 0321 1023 0132 3012 0 0 1 1 0 0 0 0 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 -5 5 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462670831633 1.012386168329 9 3 10 11 0321 0132 3201 0132 0 1 1 1 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 6 0 -6 -6 0 0 6 -6 0 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555384263781 0.532524120907 12 12 10 3 0132 1302 3012 0132 0 0 1 1 0 -1 0 1 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 5 0 -5 -5 0 0 5 0 -7 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615719857556 0.990893126663 7 12 11 5 0321 1230 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 1 0 6 0 0 -6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.152680327881 0.550469855268 7 8 5 11 2310 1230 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 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 0.340209289445 0.877253361035 12 9 7 10 1023 0213 0132 0213 0 1 1 1 0 0 -1 1 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 6 -6 7 0 -6 -1 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.468895653699 0.375723212883 8 11 9 8 0132 1023 3012 2031 1 0 1 1 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 -7 0 7 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340209289445 0.877253361035 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_9']), '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_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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1010_11'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1010_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 'c_1100_12' : negation(d['c_1001_11']), 's_1_7' : 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' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(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' : d['c_0011_3'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0011_0']})} 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_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_1001_1, c_1001_11, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 599056982482164090400720003/11836963992887437343841216*c_1010_11^16 + 379035488532238905550771271/11836963992887437343841216*c_1010_11^\ 15 + 558900800308477919499758035/845497428063388381702944*c_1010_11\ ^14 + 2143955015286571895250037093/2959240998221859335960304*c_1010\ _11^13 + 27480680436663590651122523681/3945654664295812447947072*c_\ 1010_11^12 - 2040156977234145553027165737/657609110715968741324512*\ c_1010_11^11 + 1114837274928395638796259991/16909948561267767634058\ 88*c_1010_11^10 - 4062583296132916557510954269/16909948561267767634\ 05888*c_1010_11^9 - 59257717736253057840306128983/11836963992887437\ 343841216*c_1010_11^8 - 34747802549202130138156436465/1183696399288\ 7437343841216*c_1010_11^7 - 18970135967875062124533645565/169099485\ 6126776763405888*c_1010_11^6 + 72151803503738585847852460195/591848\ 1996443718671920608*c_1010_11^5 + 34004751360458937568231997339/118\ 36963992887437343841216*c_1010_11^4 + 4417685269545604999648665551/3945654664295812447947072*c_1010_11^3 + 21897487041371855364743945587/5918481996443718671920608*c_1010_11^2 - 17628987877359105443579712835/11836963992887437343841216*c_1010_1\ 1 + 1490019596620765904986087609/11836963992887437343841216, c_0011_0 - 1, c_0011_10 - 971988071718784858265/5871509917106863761826*c_1010_11^16 - 274799578848030319353/5871509917106863761826*c_1010_11^15 - 6372321472762913510960/2935754958553431880913*c_1010_11^14 - 4711048632309227926435/2935754958553431880913*c_1010_11^13 - 132306255052736436851473/5871509917106863761826*c_1010_11^12 + 52735428459096588512635/2935754958553431880913*c_1010_11^11 - 68036343382187404165789/5871509917106863761826*c_1010_11^10 + 96302039468085981110085/5871509917106863761826*c_1010_11^9 + 50724821633525372000307/5871509917106863761826*c_1010_11^8 + 56253468543641959970873/5871509917106863761826*c_1010_11^7 + 199703034386535509279897/5871509917106863761826*c_1010_11^6 - 152072702995889928740496/2935754958553431880913*c_1010_11^5 + 74790557910250917892331/5871509917106863761826*c_1010_11^4 - 114775859416521231896767/5871509917106863761826*c_1010_11^3 - 2594682129755934945593/2935754958553431880913*c_1010_11^2 + 17498774578400911949163/5871509917106863761826*c_1010_11 + 1899864146421136425503/5871509917106863761826, c_0011_11 + 1535205855368505083763/11743019834213727523652*c_1010_11^16 + 931056998991873708989/11743019834213727523652*c_1010_11^15 + 10248900724425805035723/5871509917106863761826*c_1010_11^14 + 5380838550854567021429/2935754958553431880913*c_1010_11^13 + 216737115904516686528535/11743019834213727523652*c_1010_11^12 - 23995383299341734840488/2935754958553431880913*c_1010_11^11 + 84446310656106132234639/11743019834213727523652*c_1010_11^10 - 134767777724347226124871/11743019834213727523652*c_1010_11^9 - 126984356792137025212073/11743019834213727523652*c_1010_11^8 - 130880237909307685057673/11743019834213727523652*c_1010_11^7 - 353774497116953517395829/11743019834213727523652*c_1010_11^6 + 179256679093979234549353/5871509917106863761826*c_1010_11^5 - 7820885397963485357657/11743019834213727523652*c_1010_11^4 + 207479920433532803671803/11743019834213727523652*c_1010_11^3 + 38750360060107502555877/5871509917106863761826*c_1010_11^2 - 17615258305828398484487/11743019834213727523652*c_1010_11 - 13159715795085958237257/11743019834213727523652, c_0011_3 + 1383209604868736586677/2935754958553431880913*c_1010_11^16 + 489203534114300682251/2935754958553431880913*c_1010_11^15 + 18127094546340803334735/2935754958553431880913*c_1010_11^14 + 14676996644206904774227/2935754958553431880913*c_1010_11^13 + 188829958886732589568385/2935754958553431880913*c_1010_11^12 - 137128230645127194098892/2935754958553431880913*c_1010_11^11 + 82208893971451976101535/2935754958553431880913*c_1010_11^10 - 125777321692301888529399/2935754958553431880913*c_1010_11^9 - 71117312194489107826843/2935754958553431880913*c_1010_11^8 - 85490476702678609224181/2935754958553431880913*c_1010_11^7 - 282480606132577200132510/2935754958553431880913*c_1010_11^6 + 408394691581161819199001/2935754958553431880913*c_1010_11^5 - 73876817153230461830120/2935754958553431880913*c_1010_11^4 + 140326999970551088951884/2935754958553431880913*c_1010_11^3 - 1073866273525534969776/2935754958553431880913*c_1010_11^2 - 6616665853466732404039/2935754958553431880913*c_1010_11 - 4823459375316112842187/2935754958553431880913, c_0011_4 - 947295845866848518039/11743019834213727523652*c_1010_11^16 - 78847020090239390365/11743019834213727523652*c_1010_11^15 - 3123855556345737616076/2935754958553431880913*c_1010_11^14 - 3422555462274756491893/5871509917106863761826*c_1010_11^13 - 128821549555073295060575/11743019834213727523652*c_1010_11^12 + 31476744589835930902699/2935754958553431880913*c_1010_11^11 - 105278634401036049067075/11743019834213727523652*c_1010_11^10 + 106759696197098805997491/11743019834213727523652*c_1010_11^9 + 32526753576077829446795/11743019834213727523652*c_1010_11^8 + 49787118568076049718289/11743019834213727523652*c_1010_11^7 + 197159178035770387000113/11743019834213727523652*c_1010_11^6 - 79984038459133328535538/2935754958553431880913*c_1010_11^5 + 159589388982978877495921/11743019834213727523652*c_1010_11^4 - 141371460929388707647397/11743019834213727523652*c_1010_11^3 - 2230401586740507263290/2935754958553431880913*c_1010_11^2 + 6711862385295624716841/11743019834213727523652*c_1010_11 - 6301798227303529596323/11743019834213727523652, c_0011_9 + 641248179009432617805/11743019834213727523652*c_1010_11^16 - 475262399953697192045/11743019834213727523652*c_1010_11^15 + 3914734324275725070621/5871509917106863761826*c_1010_11^14 - 667190075546657968892/2935754958553431880913*c_1010_11^13 + 75845096636576148378757/11743019834213727523652*c_1010_11^12 - 41221543587382560086351/2935754958553431880913*c_1010_11^11 + 62553836969399744943669/11743019834213727523652*c_1010_11^10 - 88209566610268102089997/11743019834213727523652*c_1010_11^9 + 37364330076292641319541/11743019834213727523652*c_1010_11^8 + 9609022309783536930853/11743019834213727523652*c_1010_11^7 - 62318413076181447074079/11743019834213727523652*c_1010_11^6 + 175648280423565510081997/5871509917106863761826*c_1010_11^5 - 170489956694030892868435/11743019834213727523652*c_1010_11^4 + 30851293916438329889489/11743019834213727523652*c_1010_11^3 - 54086955277894507031891/5871509917106863761826*c_1010_11^2 + 3894344202019810510139/11743019834213727523652*c_1010_11 + 5558123947510322250029/11743019834213727523652, c_0101_0 + 1, c_0101_1 - 1, c_0101_10 + 858337554011301056781/2935754958553431880913*c_1010_11^16 + 247289841653861638085/2935754958553431880913*c_1010_11^15 + 11311855527164843748818/2935754958553431880913*c_1010_11^14 + 8419085321388301505712/2935754958553431880913*c_1010_11^13 + 117639503785547560214578/2935754958553431880913*c_1010_11^12 - 91652586243884441232359/2935754958553431880913*c_1010_11^11 + 67682895462150986623754/2935754958553431880913*c_1010_11^10 - 87370540069841717777053/2935754958553431880913*c_1010_11^9 - 40892239311426272440078/2935754958553431880913*c_1010_11^8 - 52964055026135504139611/2935754958553431880913*c_1010_11^7 - 178264654264778713020429/2935754958553431880913*c_1010_11^6 + 261611925239761061069386/2935754958553431880913*c_1010_11^5 - 77398258692561788287598/2935754958553431880913*c_1010_11^4 + 109016960054891639793426/2935754958553431880913*c_1010_11^3 + 2128257713674013876297/2935754958553431880913*c_1010_11^2 - 5435050700630741139837/2935754958553431880913*c_1010_11 - 1129187434772360568665/2935754958553431880913, c_0101_12 - 858337554011301056781/2935754958553431880913*c_1010_11^16 - 247289841653861638085/2935754958553431880913*c_1010_11^15 - 11311855527164843748818/2935754958553431880913*c_1010_11^14 - 8419085321388301505712/2935754958553431880913*c_1010_11^13 - 117639503785547560214578/2935754958553431880913*c_1010_11^12 + 91652586243884441232359/2935754958553431880913*c_1010_11^11 - 67682895462150986623754/2935754958553431880913*c_1010_11^10 + 87370540069841717777053/2935754958553431880913*c_1010_11^9 + 40892239311426272440078/2935754958553431880913*c_1010_11^8 + 52964055026135504139611/2935754958553431880913*c_1010_11^7 + 178264654264778713020429/2935754958553431880913*c_1010_11^6 - 261611925239761061069386/2935754958553431880913*c_1010_11^5 + 77398258692561788287598/2935754958553431880913*c_1010_11^4 - 109016960054891639793426/2935754958553431880913*c_1010_11^3 - 2128257713674013876297/2935754958553431880913*c_1010_11^2 + 5435050700630741139837/2935754958553431880913*c_1010_11 + 1129187434772360568665/2935754958553431880913, c_1001_1 + 2486054370178355709085/11743019834213727523652*c_1010_11^16 + 910312346525207161975/11743019834213727523652*c_1010_11^15 + 8187999970819106132742/2935754958553431880913*c_1010_11^14 + 13415615180501846519531/5871509917106863761826*c_1010_11^13 + 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