Magma V2.19-8 Tue Aug 20 2013 23:47:45 on localhost [Seed = 3819276684] Type ? for help. Type -D to quit. Loading file "L11n153__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n153 geometric_solution 10.99430948 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 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 -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 0 0 0.073000549461 0.735835927738 0 5 2 6 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216761041744 0.935514229443 5 0 1 7 0132 0132 1023 0132 0 1 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 1 0 -1 2 0 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303680049459 1.127320329953 8 9 10 0 0132 0132 0132 0132 0 0 1 0 0 -1 0 1 1 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 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 0 0 0 0 -0.133509034334 1.345753489068 6 8 0 10 1230 1230 0132 0132 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 0 0 0 1 -1 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 -0.732824150313 1.314221398578 2 1 7 11 0132 0132 1302 0132 1 1 1 1 0 0 -1 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 0 1 -1 -2 0 0 2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.161550985369 1.195353242205 10 4 1 8 1023 3012 0132 0213 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534458561912 0.758508495727 5 11 2 8 2031 2310 0132 2031 0 1 1 1 0 1 -1 0 1 0 -1 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 2 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693940723893 0.942255514861 3 7 4 6 0132 1302 3012 0213 1 0 0 1 0 0 0 0 -1 0 0 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 1 -1 0 1 0 -1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655688087284 1.167677863745 11 3 11 10 0321 0132 2310 2310 0 1 0 1 0 1 0 -1 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 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 0.302925348838 0.674740982152 9 6 4 3 3201 1023 0132 0132 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -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 0.323655683531 0.580432870404 9 9 5 7 0321 3201 0132 3201 1 1 0 1 0 1 -1 0 0 0 1 -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 -1 1 0 0 0 -2 2 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740632380328 0.716903159343 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_0'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0101_3']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : 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_10'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1010_8']), 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1010_8']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_1010_8'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : 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' : 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' : negation(d['c_0011_3']), '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' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], '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_0011_3'], 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), '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_0011_7']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_1001_0, c_1010_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 94719891177912498080589/6449253782925660341459*c_1100_0^10 + 84552795634659133795930/339434409627666333761*c_1100_0^9 + 12344905149339378055254234/6449253782925660341459*c_1100_0^8 + 55396835687839306005986436/6449253782925660341459*c_1100_0^7 + 144241838627475543328691266/6449253782925660341459*c_1100_0^6 + 16888637729087967289497846/586295798447787303769*c_1100_0^5 + 221963755592390811232716303/6449253782925660341459*c_1100_0^4 + 117899255077336193744281173/6449253782925660341459*c_1100_0^3 + 11695044244069283846937147/379367869583862373027*c_1100_0^2 + 27447770988286013082840128/6449253782925660341459*c_1100_0 + 11234367272043874098362014/6449253782925660341459, c_0011_0 - 1, c_0011_10 - 10634180713414828/19966729978098019633*c_1100_0^10 - 164634196160959485/19966729978098019633*c_1100_0^9 - 1135411379192515406/19966729978098019633*c_1100_0^8 - 4445307653269884847/19966729978098019633*c_1100_0^7 - 9114631466342885929/19966729978098019633*c_1100_0^6 - 579492168532521860/1815157270736183603*c_1100_0^5 - 18405087289324315827/19966729978098019633*c_1100_0^4 - 6602137061554498237/19966729978098019633*c_1100_0^3 - 37287696857010470062/19966729978098019633*c_1100_0^2 + 13613297983247089492/19966729978098019633*c_1100_0 - 17284144304141390969/19966729978098019633, c_0011_3 + 56049326957094167/19966729978098019633*c_1100_0^10 + 931141374682055111/19966729978098019633*c_1100_0^9 + 6955750057509457429/19966729978098019633*c_1100_0^8 + 29930446336672971363/19966729978098019633*c_1100_0^7 + 71632347884159497841/19966729978098019633*c_1100_0^6 + 6376488105227498074/1815157270736183603*c_1100_0^5 + 67991059562264866776/19966729978098019633*c_1100_0^4 - 4957744727743729094/19966729978098019633*c_1100_0^3 + 56261502776097540197/19966729978098019633*c_1100_0^2 - 38521338243943039316/19966729978098019633*c_1100_0 - 26009262538706045800/19966729978098019633, c_0011_4 + 334689949608113548/99833649890490098165*c_1100_0^10 + 5592939559774425731/99833649890490098165*c_1100_0^9 + 42160241329977606718/99833649890490098165*c_1100_0^8 + 36820888772280213732/19966729978098019633*c_1100_0^7 + 454920566064990546208/99833649890490098165*c_1100_0^6 + 45677159876044532271/9075786353680918015*c_1100_0^5 + 550902283984215592764/99833649890490098165*c_1100_0^4 + 139905158595583811016/99833649890490098165*c_1100_0^3 + 546250853347896042527/99833649890490098165*c_1100_0^2 - 77633422034731332519/99833649890490098165*c_1100_0 + 69442536538646312488/99833649890490098165, c_0011_7 + 247450241249599158/99833649890490098165*c_1100_0^10 + 3781801611750211806/99833649890490098165*c_1100_0^9 + 25227076948678410953/99833649890490098165*c_1100_0^8 + 18191972524935564603/19966729978098019633*c_1100_0^7 + 137075427734741391288/99833649890490098165*c_1100_0^6 - 11929164042160352199/9075786353680918015*c_1100_0^5 - 186311032589874337791/99833649890490098165*c_1100_0^4 - 587328824557565191554/99833649890490098165*c_1100_0^3 + 66681855797435373487/99833649890490098165*c_1100_0^2 - 700681475798835146824/99833649890490098165*c_1100_0 + 4522155537463687268/99833649890490098165, c_0101_0 - 1, c_0101_1 - 148877818858205665/19966729978098019633*c_1100_0^10 - 2529221666314292890/19966729978098019633*c_1100_0^9 - 19472469709488718020/19966729978098019633*c_1100_0^8 - 87578107089981449555/19966729978098019633*c_1100_0^7 - 228795117990622943109/19966729978098019633*c_1100_0^6 - 26937377894865801481/1815157270736183603*c_1100_0^5 - 350033739667804419790/19966729978098019633*c_1100_0^4 - 181355705321047772719/19966729978098019633*c_1100_0^3 - 301742411597954470464/19966729978098019633*c_1100_0^2 - 29461977062020836957/19966729978098019633*c_1100_0 - 6770944106498542481/19966729978098019633, c_0101_11 + 2047570250256053071/99833649890490098165*c_1100_0^10 + 34670211606458197277/99833649890490098165*c_1100_0^9 + 265826093260380797426/99833649890490098165*c_1100_0^8 + 237806334868806986705/19966729978098019633*c_1100_0^7 + 3076727672147411000711/99833649890490098165*c_1100_0^6 + 353866614554458595627/9075786353680918015*c_1100_0^5 + 4585999073078359958788/99833649890490098165*c_1100_0^4 + 2264900443370427768182/99833649890490098165*c_1100_0^3 + 4047020940049255774724/99833649890490098165*c_1100_0^2 + 400114898779487276857/99833649890490098165*c_1100_0 + 96140529035049481871/99833649890490098165, c_0101_3 - 188266925671103282/19966729978098019633*c_1100_0^10 - 3169201627681122258/19966729978098019633*c_1100_0^9 - 24126321731143750614/19966729978098019633*c_1100_0^8 - 106906249378663468901/19966729978098019633*c_1100_0^7 - 272074877836473498976/19966729978098019633*c_1100_0^6 - 30011459660795539462/1815157270736183603*c_1100_0^5 - 387967093423025767374/19966729978098019633*c_1100_0^4 - 172465633745085655287/19966729978098019633*c_1100_0^3 - 358547634838669362931/19966729978098019633*c_1100_0^2 - 10468829824892434625/19966729978098019633*c_1100_0 - 7180916682246518965/19966729978098019633, c_1001_0 - 17062348865526158/19966729978098019633*c_1100_0^10 - 316487708471471490/19966729978098019633*c_1100_0^9 - 2671543282214760267/19966729978098019633*c_1100_0^8 - 13317879296419524564/19966729978098019633*c_1100_0^7 - 40416225717396065604/19966729978098019633*c_1100_0^6 - 6243483164050325999/1815157270736183603*c_1100_0^5 - 78182679205314774793/19966729978098019633*c_1100_0^4 - 66086938738902009805/19966729978098019633*c_1100_0^3 - 37076120256398476120/19966729978098019633*c_1100_0^2 - 48031532732945783578/19966729978098019633*c_1100_0 + 15236574053885337898/19966729978098019633, c_1010_8 - 317786827816608030/19966729978098019633*c_1100_0^10 - 5361594880258361534/19966729978098019633*c_1100_0^9 - 40926266159155283702/19966729978098019633*c_1100_0^8 - 181982337262814318656/19966729978098019633*c_1100_0^7 - 466011131932873294270/19966729978098019633*c_1100_0^6 - 52220629120820549415/1815157270736183603*c_1100_0^5 - 676151082335129273084/19966729978098019633*c_1100_0^4 - 318887079444537320033/19966729978098019633*c_1100_0^3 - 619527739829225805372/19966729978098019633*c_1100_0^2 - 45050437514909959122/19966729978098019633*c_1100_0 - 13617170839136947898/19966729978098019633, c_1100_0^11 + 17*c_1100_0^10 + 131*c_1100_0^9 + 590*c_1100_0^8 + 1546*c_1100_0^7 + 2022*c_1100_0^6 + 2423*c_1100_0^5 + 1342*c_1100_0^4 + 2154*c_1100_0^3 + 377*c_1100_0^2 + 131*c_1100_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB