Magma V2.19-8 Wed Aug 21 2013 01:06:34 on localhost [Seed = 947790079] Type ? for help. Type -D to quit. Loading file "L14n32733__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32733 geometric_solution 12.58858027 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598597381243 1.099529916620 0 4 4 5 0132 0132 1302 0132 1 1 1 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 0 0 0 0 0 0 0 3 0 0 -3 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293364714551 0.732516352228 0 0 6 5 3012 0132 0132 3201 1 1 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 0 1 1 0 0 -1 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292975344315 0.802523802420 7 8 9 0 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417844748409 0.593101350633 1 1 10 11 2031 0132 0132 0132 1 1 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 0 0 0 0 0 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528839663616 1.176462723034 7 2 1 12 2103 2310 0132 0132 1 1 1 1 0 -1 0 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 -3 0 3 0 0 0 0 -1 1 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858788936003 0.993706701016 11 11 8 2 1230 2031 0132 0132 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 0 0 0 0 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 0.555232619929 0.713500486080 3 12 5 8 0132 2031 2103 2310 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423502819169 1.117742620047 7 3 10 6 3201 0132 2310 0132 1 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889056670298 1.225829714651 10 11 12 3 2031 2310 3012 0132 1 1 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 0 0 0 2 0 -2 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 0.548584855412 0.666381818531 12 8 9 4 3012 3201 1302 0132 1 1 1 1 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 2 -2 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 0.484097109469 0.362851528641 6 6 4 9 1302 3012 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555232619929 0.713500486080 7 9 5 10 1302 1230 0132 1230 1 1 1 1 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 2 -3 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 0.468483248223 1.075318240517 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0110_2']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_1001_0']), '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' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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_1100_9' : d['c_0110_2'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0110_11']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_4'], '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' : negation(d['1']), 's_1_1' : 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_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_3, c_0101_4, c_0110_11, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1398696567669971920589/152924052484736935829*c_1001_0^11 - 14094976680482794053093/152924052484736935829*c_1001_0^10 + 56966989934099378344098/152924052484736935829*c_1001_0^9 - 19360676203332416304725/21846293212105276547*c_1001_0^8 + 142505311327346529536952/152924052484736935829*c_1001_0^7 + 292059873832752053269891/152924052484736935829*c_1001_0^6 - 217200059603761399520815/152924052484736935829*c_1001_0^5 + 693472231857251584539245/152924052484736935829*c_1001_0^4 + 1424371854607032386982915/152924052484736935829*c_1001_0^3 - 202431706507773571353156/152924052484736935829*c_1001_0^2 - 57896389321509556457374/21846293212105276547*c_1001_0 + 25464127439999970289440/152924052484736935829, c_0011_0 - 1, c_0011_10 + 599124109106507/38145186451667981*c_1001_0^11 - 5257456264835825/38145186451667981*c_1001_0^10 + 17006446596487553/38145186451667981*c_1001_0^9 - 4369540896911229/5449312350238283*c_1001_0^8 + 361746680079558/38145186451667981*c_1001_0^7 + 177135196585933980/38145186451667981*c_1001_0^6 + 70512040614547262/38145186451667981*c_1001_0^5 + 340629773902835257/38145186451667981*c_1001_0^4 + 948992576463993834/38145186451667981*c_1001_0^3 + 922121565701481058/38145186451667981*c_1001_0^2 + 52735153498926562/5449312350238283*c_1001_0 + 60826983284794192/38145186451667981, c_0011_11 + 967972790600035/38145186451667981*c_1001_0^11 - 8516602607826455/38145186451667981*c_1001_0^10 + 27652537924900830/38145186451667981*c_1001_0^9 - 7118869223557634/5449312350238283*c_1001_0^8 + 935040962178961/38145186451667981*c_1001_0^7 + 287054893887166836/38145186451667981*c_1001_0^6 + 108720994821730577/38145186451667981*c_1001_0^5 + 538712282020240330/38145186451667981*c_1001_0^4 + 1523935147163535182/38145186451667981*c_1001_0^3 + 1486673834452428476/38145186451667981*c_1001_0^2 + 85156927982553223/5449312350238283*c_1001_0 + 74729216356933132/38145186451667981, c_0011_12 - 465588429571529/38145186451667981*c_1001_0^11 + 4261327516396532/38145186451667981*c_1001_0^10 - 14713397997763922/38145186451667981*c_1001_0^9 + 4031823503512111/5449312350238283*c_1001_0^8 - 6477808996053679/38145186451667981*c_1001_0^7 - 146300511142115521/38145186451667981*c_1001_0^6 + 13941032556032754/38145186451667981*c_1001_0^5 - 253737565262332285/38145186451667981*c_1001_0^4 - 642098938812669509/38145186451667981*c_1001_0^3 - 424923737629157687/38145186451667981*c_1001_0^2 - 867100773303567/5449312350238283*c_1001_0 + 39132570415689313/38145186451667981, c_0011_3 + 3046260562542532/38145186451667981*c_1001_0^11 - 28436734832948348/38145186451667981*c_1001_0^10 + 103878441533814431/38145186451667981*c_1001_0^9 - 32681508797792891/5449312350238283*c_1001_0^8 + 193374672904431741/38145186451667981*c_1001_0^7 + 624373431536825748/38145186451667981*c_1001_0^6 + 253085397751616050/38145186451667981*c_1001_0^5 + 1681447624172785389/38145186451667981*c_1001_0^4 + 3926701499838150549/38145186451667981*c_1001_0^3 + 3444194138579788897/38145186451667981*c_1001_0^2 + 183470734554761403/5449312350238283*c_1001_0 + 171258462948482240/38145186451667981, c_0011_6 - 221121193520250/38145186451667981*c_1001_0^11 + 1675915446045994/38145186451667981*c_1001_0^10 - 3995886850150844/38145186451667981*c_1001_0^9 + 626981126105635/5449312350238283*c_1001_0^8 + 9581379885046456/38145186451667981*c_1001_0^7 - 52202593649773306/38145186451667981*c_1001_0^6 - 133495719083803073/38145186451667981*c_1001_0^5 - 127718073391005635/38145186451667981*c_1001_0^4 - 482826252289950258/38145186451667981*c_1001_0^3 - 797707158848406747/38145186451667981*c_1001_0^2 - 69434990625312801/5449312350238283*c_1001_0 - 76287418440629371/38145186451667981, c_0011_9 + 1157487447802641/38145186451667981*c_1001_0^11 - 11355919740463359/38145186451667981*c_1001_0^10 + 44854893514826692/38145186451667981*c_1001_0^9 - 15446135664379467/5449312350238283*c_1001_0^8 + 124576372182555040/38145186451667981*c_1001_0^7 + 178561662987011104/38145186451667981*c_1001_0^6 + 10915568835520966/38145186451667981*c_1001_0^5 + 629316319401371362/38145186451667981*c_1001_0^4 + 1185933987048914013/38145186451667981*c_1001_0^3 + 715889787505730914/38145186451667981*c_1001_0^2 + 17808656437456012/5449312350238283*c_1001_0 - 16662517081261766/38145186451667981, c_0101_0 - 1, c_0101_3 + 1294404571317126/38145186451667981*c_1001_0^11 - 12394835233121763/38145186451667981*c_1001_0^10 + 47337905388193900/38145186451667981*c_1001_0^9 - 15836153165382621/5449312350238283*c_1001_0^8 + 118628513233357457/38145186451667981*c_1001_0^7 + 210907290000907217/38145186451667981*c_1001_0^6 + 93526133059382561/38145186451667981*c_1001_0^5 + 708190303311247115/38145186451667981*c_1001_0^4 + 1484175116638912599/38145186451667981*c_1001_0^3 + 1208798444117216912/38145186451667981*c_1001_0^2 + 60718154750906687/5449312350238283*c_1001_0 + 45053112715031296/38145186451667981, c_0101_4 + 221121193520250/38145186451667981*c_1001_0^11 - 1675915446045994/38145186451667981*c_1001_0^10 + 3995886850150844/38145186451667981*c_1001_0^9 - 626981126105635/5449312350238283*c_1001_0^8 - 9581379885046456/38145186451667981*c_1001_0^7 + 52202593649773306/38145186451667981*c_1001_0^6 + 133495719083803073/38145186451667981*c_1001_0^5 + 127718073391005635/38145186451667981*c_1001_0^4 + 482826252289950258/38145186451667981*c_1001_0^3 + 797707158848406747/38145186451667981*c_1001_0^2 + 63985678275074518/5449312350238283*c_1001_0 + 76287418440629371/38145186451667981, c_0110_11 + 471179290016063/38145186451667981*c_1001_0^11 - 4260892539237170/38145186451667981*c_1001_0^10 + 14483159787016572/38145186451667981*c_1001_0^9 - 3931929803674933/5449312350238283*c_1001_0^8 + 5377759811893996/38145186451667981*c_1001_0^7 + 145668930873358768/38145186451667981*c_1001_0^6 - 303603975690689/38145186451667981*c_1001_0^5 + 283414152654685287/38145186451667981*c_1001_0^4 + 668995230556025336/38145186451667981*c_1001_0^3 + 537048777295394226/38145186451667981*c_1001_0^2 + 18888647808603960/5449312350238283*c_1001_0 - 725661623365775/38145186451667981, c_0110_2 - 967972790600035/38145186451667981*c_1001_0^11 + 8516602607826455/38145186451667981*c_1001_0^10 - 27652537924900830/38145186451667981*c_1001_0^9 + 7118869223557634/5449312350238283*c_1001_0^8 - 935040962178961/38145186451667981*c_1001_0^7 - 287054893887166836/38145186451667981*c_1001_0^6 - 108720994821730577/38145186451667981*c_1001_0^5 - 538712282020240330/38145186451667981*c_1001_0^4 - 1523935147163535182/38145186451667981*c_1001_0^3 - 1486673834452428476/38145186451667981*c_1001_0^2 - 79707615632314940/5449312350238283*c_1001_0 - 74729216356933132/38145186451667981, c_1001_0^12 - 9*c_1001_0^11 + 31*c_1001_0^10 - 64*c_1001_0^9 + 40*c_1001_0^8 + 221*c_1001_0^7 + 162*c_1001_0^6 + 572*c_1001_0^5 + 1475*c_1001_0^4 + 1568*c_1001_0^3 + 796*c_1001_0^2 + 187*c_1001_0 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.450 Total time: 1.649 seconds, Total memory usage: 32.09MB