Magma V2.19-8 Tue Aug 20 2013 23:38:24 on localhost [Seed = 3431639286] Type ? for help. Type -D to quit. Loading file "K14n15447__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15447 geometric_solution 9.42918477 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 -1 1 0 0 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509253342346 0.784061467359 0 5 7 6 0132 0132 0132 0132 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 3 -3 0 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487329115595 1.023903873906 5 0 7 8 3201 0132 3201 0132 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 1 0 0 -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 0.513220497036 1.283194247632 9 6 8 0 0132 2103 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.335667009273 0.762968995558 5 5 0 9 0132 3201 0132 2031 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 -1 1 0 -1 0 1 0 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399867540714 0.795573683609 4 1 4 2 0132 0132 2310 2310 0 0 0 0 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 -3 3 0 1 0 -1 0 1 0 0 -1 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521137882536 0.703509594888 7 3 1 8 1023 2103 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.614186073055 1.437692204599 2 6 9 1 2310 1023 1023 0132 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 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.246876728268 0.918295709271 9 6 2 3 3201 2310 0132 3012 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 1 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229504155048 0.328864099266 3 4 7 8 0132 1302 1023 2310 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 0 0 0 0 0 0 0.543402721638 1.375759727351 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_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'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_6'], '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_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], '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_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 30068904749267168401/320195471826319003629*c_1001_0^13 + 87637837293205310417/24630420909716846433*c_1001_0^12 - 2464294179769924208108/320195471826319003629*c_1001_0^11 - 11342547426418937186473/320195471826319003629*c_1001_0^10 - 97181997228845787136/583234010612602921*c_1001_0^9 - 6036362712718034145595/29108679256938091239*c_1001_0^8 + 30197366480682838227775/320195471826319003629*c_1001_0^7 - 74775577451581561432276/106731823942106334543*c_1001_0^6 + 113256298763268684844099/320195471826319003629*c_1001_0^5 - 129817492880739360169777/106731823942106334543*c_1001_0^4 + 1032947816630004338917/8210140303238948811*c_1001_0^3 - 1040232365365613348594/3234297695215343471*c_1001_0^2 - 3002547132875049062150/106731823942106334543*c_1001_0 - 4200596344101802191874/320195471826319003629, c_0011_0 - 1, c_0011_3 - 272293341017897/12235678544320341*c_1001_0^13 + 496870958992492/12235678544320341*c_1001_0^12 + 4834681899223280/12235678544320341*c_1001_0^11 + 14513099223875842/12235678544320341*c_1001_0^10 + 6095745648435109/4078559514773447*c_1001_0^9 - 3384384070261391/1112334413120031*c_1001_0^8 + 1606476135935336/12235678544320341*c_1001_0^7 + 16231446451467530/4078559514773447*c_1001_0^6 - 114007468330115224/12235678544320341*c_1001_0^5 + 60290643673442912/4078559514773447*c_1001_0^4 - 105318410597914423/4078559514773447*c_1001_0^3 + 2748786280757724/370778137706677*c_1001_0^2 - 29721632397392002/4078559514773447*c_1001_0 + 1229809263120232/12235678544320341, c_0011_6 + 686989253320709/4078559514773447*c_1001_0^13 - 3037242670833720/4078559514773447*c_1001_0^12 - 4845426116875917/4078559514773447*c_1001_0^11 - 22095386339102304/4078559514773447*c_1001_0^10 + 16138204747898352/4078559514773447*c_1001_0^9 + 6735239177693688/370778137706677*c_1001_0^8 - 187243184942202894/4078559514773447*c_1001_0^7 + 330809945901495416/4078559514773447*c_1001_0^6 - 432809746555563809/4078559514773447*c_1001_0^5 + 503981932033856047/4078559514773447*c_1001_0^4 - 220078232376573179/4078559514773447*c_1001_0^3 + 12520146586479696/370778137706677*c_1001_0^2 - 11091370526957331/4078559514773447*c_1001_0 + 4893397441000910/4078559514773447, c_0011_8 - 796405988928050/12235678544320341*c_1001_0^13 + 2752189164256090/12235678544320341*c_1001_0^12 + 7019720610701411/12235678544320341*c_1001_0^11 + 36742548344125303/12235678544320341*c_1001_0^10 + 9774185334652682/4078559514773447*c_1001_0^9 - 390984176437472/1112334413120031*c_1001_0^8 + 239731870295467619/12235678544320341*c_1001_0^7 - 79344948465023039/4078559514773447*c_1001_0^6 + 565149134096171561/12235678544320341*c_1001_0^5 - 121659373127329475/4078559514773447*c_1001_0^4 + 154918399748673799/4078559514773447*c_1001_0^3 - 3164070628887555/370778137706677*c_1001_0^2 + 24036372371492299/4078559514773447*c_1001_0 + 2852368967823646/12235678544320341, c_0101_0 + 1176943534758828/4078559514773447*c_1001_0^13 - 2872414843257021/4078559514773447*c_1001_0^12 - 14776435478706654/4078559514773447*c_1001_0^11 - 65549246999764436/4078559514773447*c_1001_0^10 - 91030047475600485/4078559514773447*c_1001_0^9 - 566347449322053/370778137706677*c_1001_0^8 - 258013769678011166/4078559514773447*c_1001_0^7 + 64666981834469683/4078559514773447*c_1001_0^6 - 467938049490014877/4078559514773447*c_1001_0^5 - 24600812885746626/4078559514773447*c_1001_0^4 - 219717519462296799/4078559514773447*c_1001_0^3 - 1353418079873457/370778137706677*c_1001_0^2 - 38198045197195672/4078559514773447*c_1001_0 - 480050866666638/4078559514773447, c_0101_1 - 6497762163546593/12235678544320341*c_1001_0^13 + 18632888021217373/12235678544320341*c_1001_0^12 + 75171859556571671/12235678544320341*c_1001_0^11 + 324936329691409735/12235678544320341*c_1001_0^10 + 115593151095729221/4078559514773447*c_1001_0^9 - 16877809099684526/1112334413120031*c_1001_0^8 + 1444984975439493485/12235678544320341*c_1001_0^7 - 297592446646320533/4078559514773447*c_1001_0^6 + 2626674272501092625/12235678544320341*c_1001_0^5 - 228659495721452094/4078559514773447*c_1001_0^4 + 294924612782212340/4078559514773447*c_1001_0^3 + 28544771227379/370778137706677*c_1001_0^2 + 22293991184449078/4078559514773447*c_1001_0 + 9377297110330681/12235678544320341, c_0101_3 - 1928031490847767/12235678544320341*c_1001_0^13 + 5255784547958561/12235678544320341*c_1001_0^12 + 22600385913041284/12235678544320341*c_1001_0^11 + 100952687397837485/12235678544320341*c_1001_0^10 + 40761648860521832/4078559514773447*c_1001_0^9 - 1450321806806380/1112334413120031*c_1001_0^8 + 447472024252976089/12235678544320341*c_1001_0^7 - 73197342725328164/4078559514773447*c_1001_0^6 + 845048398221427993/12235678544320341*c_1001_0^5 - 52597157590132816/4078559514773447*c_1001_0^4 + 141747270355844936/4078559514773447*c_1001_0^3 - 182941579833769/370778137706677*c_1001_0^2 + 24951251722495409/4078559514773447*c_1001_0 + 3339411246163709/12235678544320341, c_0101_5 + 4017872882616547/12235678544320341*c_1001_0^13 - 11209996866710969/12235678544320341*c_1001_0^12 - 47183176114158184/12235678544320341*c_1001_0^11 - 204932147335616522/12235678544320341*c_1001_0^10 - 77581691670584120/4078559514773447*c_1001_0^9 + 7903274907892849/1112334413120031*c_1001_0^8 - 901123042934686417/12235678544320341*c_1001_0^7 + 161837457111802785/4078559514773447*c_1001_0^6 - 1610871906122409175/12235678544320341*c_1001_0^5 + 98083825949189319/4078559514773447*c_1001_0^4 - 186696432522264802/4078559514773447*c_1001_0^3 - 2108027771639660/370778137706677*c_1001_0^2 - 10276048441004656/4078559514773447*c_1001_0 - 11905277647991051/12235678544320341, c_0110_8 + 614459107488205/4078559514773447*c_1001_0^13 - 1107992552461736/4078559514773447*c_1001_0^12 - 9167049742223070/4078559514773447*c_1001_0^11 - 37812679547117526/4078559514773447*c_1001_0^10 - 63267128295818798/4078559514773447*c_1001_0^9 - 696473959080665/370778137706677*c_1001_0^8 - 105916154075997623/4078559514773447*c_1001_0^7 - 63446433710957442/4078559514773447*c_1001_0^6 - 118570556189408481/4078559514773447*c_1001_0^5 - 215139470005570925/4078559514773447*c_1001_0^4 + 54990724185473837/4078559514773447*c_1001_0^3 - 8487235756842045/370778137706677*c_1001_0^2 + 15777982979855440/4078559514773447*c_1001_0 - 2911259262041177/4078559514773447, c_1001_0^14 - 3*c_1001_0^13 - 11*c_1001_0^12 - 49*c_1001_0^11 - 49*c_1001_0^10 + 26*c_1001_0^9 - 237*c_1001_0^8 + 172*c_1001_0^7 - 463*c_1001_0^6 + 181*c_1001_0^5 - 222*c_1001_0^4 + 30*c_1001_0^3 - 30*c_1001_0^2 - 2*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB