Magma V2.19-8 Wed Aug 21 2013 01:01:50 on localhost [Seed = 678310906] Type ? for help. Type -D to quit. Loading file "L14n13347__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13347 geometric_solution 12.14514173 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.664615024758 0.697412899733 0 5 6 4 0132 0132 0132 1023 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 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 0.664615024758 0.697412899733 5 0 4 7 0213 0132 1302 0132 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 0 0 0 0 0 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 0.409254561156 0.731049814427 5 8 9 0 3012 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.452805764609 0.629507268341 2 5 0 1 2031 0213 0132 1023 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 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 0.981947827023 0.935251016236 2 1 4 3 0213 0132 0213 1230 0 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 0 1 -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 0.409254561156 0.731049814427 7 10 9 1 3012 0132 1023 0132 0 0 1 1 0 0 -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 1 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.331292649077 0.827527988629 11 8 2 6 0132 0213 0132 1230 0 1 1 1 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 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465736890203 0.396502988022 11 3 7 10 3012 0132 0213 0213 0 1 1 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 0 0 0 0 0 0 0 0 0 -1 0 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556331006796 0.517975644375 12 12 6 3 0132 1302 1023 0132 0 0 1 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 1 0 -1 -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 0.616856769418 0.969979189940 11 6 12 8 2031 0132 1023 0213 0 1 1 1 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 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.083611572327 0.684554573594 7 12 10 8 0132 3120 1302 1230 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 -1 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 0 0 0 0.554385769695 0.498538845104 9 11 10 9 0132 3120 1023 2031 1 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 0 0 0 0 0 0 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 0.352264316851 0.891805020762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_6'], '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : 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_3']), '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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(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' : negation(d['c_0011_3']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0110_4, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 428838210404844218893/1376004038714095104*c_1100_0^14 + 7941211632764440179307/1376004038714095104*c_1100_0^13 + 3604425409968320022035/86000252419630944*c_1100_0^12 + 63271482959595466893097/458668012904698368*c_1100_0^11 + 92972561089047855282787/688002019357047552*c_1100_0^10 - 111610086218122896964127/344001009678523776*c_1100_0^9 - 302219983096931163652537/458668012904698368*c_1100_0^8 + 379208599270049441656615/688002019357047552*c_1100_0^7 + 953032463667544041194983/688002019357047552*c_1100_0^6 - 3008636602291827144748375/1376004038714095104*c_1100_0^5 + 179514601349236494907395/152889337634899456*c_1100_0^4 - 283933865397695911643033/1376004038714095104*c_1100_0^3 - 11198060731362835673807/344001009678523776*c_1100_0^2 + 2391964816619399153029/229334006452349184*c_1100_0 + 422592749400510500311/458668012904698368, c_0011_0 - 1, c_0011_10 - 49569454939801537/14333375403271824*c_1100_0^14 - 930311657616278471/14333375403271824*c_1100_0^13 - 431770442448090854/895835962704489*c_1100_0^12 - 7950258485377379613/4777791801090608*c_1100_0^11 - 4806820299302414069/2388895900545304*c_1100_0^10 + 3288695885242155741/1194447950272652*c_1100_0^9 + 108135695619585697847/14333375403271824*c_1100_0^8 - 26889371090803473587/7166687701635912*c_1100_0^7 - 105203704268366455939/7166687701635912*c_1100_0^6 + 289209334224542406691/14333375403271824*c_1100_0^5 - 53010067274198998445/4777791801090608*c_1100_0^4 + 40203400786212371597/14333375403271824*c_1100_0^3 - 558231411950430409/3583343850817956*c_1100_0^2 - 513195415809306283/7166687701635912*c_1100_0 + 60937357931204605/4777791801090608, c_0011_11 - 1798463866495491/9555583602181216*c_1100_0^14 - 112513252357872551/28666750806543648*c_1100_0^13 - 60426511171601117/1791671925408978*c_1100_0^12 - 4235149637782989503/28666750806543648*c_1100_0^11 - 4549313687953021579/14333375403271824*c_1100_0^10 - 1067461635257192347/7166687701635912*c_1100_0^9 + 5882461747619910685/9555583602181216*c_1100_0^8 + 3342312799400814383/4777791801090608*c_1100_0^7 - 4484637091765785673/4777791801090608*c_1100_0^6 - 16786484065470727813/28666750806543648*c_1100_0^5 + 33317621075640876761/28666750806543648*c_1100_0^4 - 16322162322006187595/28666750806543648*c_1100_0^3 + 621097133178650533/7166687701635912*c_1100_0^2 + 124302752523993937/14333375403271824*c_1100_0 - 31667379171220035/9555583602181216, c_0011_3 + 20893640240820485/9555583602181216*c_1100_0^14 + 1152210584554572689/28666750806543648*c_1100_0^13 + 517069746592574809/1791671925408978*c_1100_0^12 + 8874287578987588387/9555583602181216*c_1100_0^11 + 3928062299304766151/4777791801090608*c_1100_0^10 - 17130315163437620783/7166687701635912*c_1100_0^9 - 123712528058693710273/28666750806543648*c_1100_0^8 + 21073117124097781015/4777791801090608*c_1100_0^7 + 130520469355172231501/14333375403271824*c_1100_0^6 - 472352795164601916205/28666750806543648*c_1100_0^5 + 302591136355514568433/28666750806543648*c_1100_0^4 - 29278284306416138241/9555583602181216*c_1100_0^3 + 1621771467401059417/7166687701635912*c_1100_0^2 + 357664705242603659/4777791801090608*c_1100_0 - 142164831097484491/9555583602181216, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 15344484166398317/7166687701635912*c_1100_0^14 - 285465752277166657/7166687701635912*c_1100_0^13 - 261226916862359720/895835962704489*c_1100_0^12 - 7004300088955310699/7166687701635912*c_1100_0^11 - 312480454819331300/298611987568163*c_1100_0^10 + 7246907277564917879/3583343850817956*c_1100_0^9 + 32740476214555622741/7166687701635912*c_1100_0^8 - 11316584133481716341/3583343850817956*c_1100_0^7 - 32916950997783965135/3583343850817956*c_1100_0^6 + 33333689634089130113/2388895900545304*c_1100_0^5 - 19277991082927761343/2388895900545304*c_1100_0^4 + 5067671382488991351/2388895900545304*c_1100_0^3 - 462636801025344173/3583343850817956*c_1100_0^2 - 93382996137156973/1791671925408978*c_1100_0 + 22763281322244083/2388895900545304, c_0101_12 - 13264408219146529/14333375403271824*c_1100_0^14 - 244858394311588471/14333375403271824*c_1100_0^13 - 36881197870255343/298611987568163*c_1100_0^12 - 5781654824128430615/14333375403271824*c_1100_0^11 - 2757027932770636343/7166687701635912*c_1100_0^10 + 1149830714304269257/1194447950272652*c_1100_0^9 + 8965483840811578349/4777791801090608*c_1100_0^8 - 12130600186965052979/7166687701635912*c_1100_0^7 - 27906083716378730531/7166687701635912*c_1100_0^6 + 31747542973206397297/4777791801090608*c_1100_0^5 - 59167817835772976279/14333375403271824*c_1100_0^4 + 16681893217603210957/14333375403271824*c_1100_0^3 - 95481303888696635/1194447950272652*c_1100_0^2 - 64328606146899137/2388895900545304*c_1100_0 + 21699755167274381/4777791801090608, c_0101_6 + 1317489669950801/1194447950272652*c_1100_0^14 + 18510331012613635/895835962704489*c_1100_0^13 + 137051826706364254/895835962704489*c_1100_0^12 + 627216451342883567/1194447950272652*c_1100_0^11 + 2226252102587252843/3583343850817956*c_1100_0^10 - 3254415491261653913/3583343850817956*c_1100_0^9 - 1426795124613540201/597223975136326*c_1100_0^8 + 382228368236555130/298611987568163*c_1100_0^7 + 8363211747759958535/1791671925408978*c_1100_0^6 - 23610739674935455679/3583343850817956*c_1100_0^5 + 2220513862426050387/597223975136326*c_1100_0^4 - 3524518563589057249/3583343850817956*c_1100_0^3 + 239282044869511811/3583343850817956*c_1100_0^2 + 28261356990310731/1194447950272652*c_1100_0 - 1406432758311329/298611987568163, c_0110_4 - 13264408219146529/14333375403271824*c_1100_0^14 - 244858394311588471/14333375403271824*c_1100_0^13 - 36881197870255343/298611987568163*c_1100_0^12 - 5781654824128430615/14333375403271824*c_1100_0^11 - 2757027932770636343/7166687701635912*c_1100_0^10 + 1149830714304269257/1194447950272652*c_1100_0^9 + 8965483840811578349/4777791801090608*c_1100_0^8 - 12130600186965052979/7166687701635912*c_1100_0^7 - 27906083716378730531/7166687701635912*c_1100_0^6 + 31747542973206397297/4777791801090608*c_1100_0^5 - 59167817835772976279/14333375403271824*c_1100_0^4 + 16681893217603210957/14333375403271824*c_1100_0^3 - 95481303888696635/1194447950272652*c_1100_0^2 - 66717502047444441/2388895900545304*c_1100_0 + 21699755167274381/4777791801090608, c_1001_0 - 13264408219146529/14333375403271824*c_1100_0^14 - 244858394311588471/14333375403271824*c_1100_0^13 - 36881197870255343/298611987568163*c_1100_0^12 - 5781654824128430615/14333375403271824*c_1100_0^11 - 2757027932770636343/7166687701635912*c_1100_0^10 + 1149830714304269257/1194447950272652*c_1100_0^9 + 8965483840811578349/4777791801090608*c_1100_0^8 - 12130600186965052979/7166687701635912*c_1100_0^7 - 27906083716378730531/7166687701635912*c_1100_0^6 + 31747542973206397297/4777791801090608*c_1100_0^5 - 59167817835772976279/14333375403271824*c_1100_0^4 + 16681893217603210957/14333375403271824*c_1100_0^3 - 95481303888696635/1194447950272652*c_1100_0^2 - 64328606146899137/2388895900545304*c_1100_0 + 21699755167274381/4777791801090608, c_1001_3 + 442173917537297/28666750806543648*c_1100_0^14 + 3661675447415429/9555583602181216*c_1100_0^13 + 7030593859638089/1791671925408978*c_1100_0^12 + 595349704583193079/28666750806543648*c_1100_0^11 + 804110885434697947/14333375403271824*c_1100_0^10 + 348367069229906519/7166687701635912*c_1100_0^9 - 2977976111938456703/28666750806543648*c_1100_0^8 - 2998462968271249349/14333375403271824*c_1100_0^7 + 1881121824715093523/14333375403271824*c_1100_0^6 + 9892396637383257325/28666750806543648*c_1100_0^5 - 3947619178480529947/9555583602181216*c_1100_0^4 + 4918927799778816163/28666750806543648*c_1100_0^3 - 177040240741438441/7166687701635912*c_1100_0^2 - 1220810445279595/4777791801090608*c_1100_0 + 67704243694123/9555583602181216, c_1100_0^15 + 18*c_1100_0^14 + 125*c_1100_0^13 + 375*c_1100_0^12 + 219*c_1100_0^11 - 1218*c_1100_0^10 - 1531*c_1100_0^9 + 2745*c_1100_0^8 + 3304*c_1100_0^7 - 9105*c_1100_0^6 + 7878*c_1100_0^5 - 3424*c_1100_0^4 + 709*c_1100_0^3 - 14*c_1100_0^2 - 21*c_1100_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB