-
artin_reps • Show schema
Hide schema
{'BadPrimes': [3, 29], 'Baselabel': '16.15230566258321311482064561.24t2912.a', 'CharacterField': 1, 'Conductor': 15230566258321311482064561, 'Container': '24t2912', 'Dets': ['1.1.1t1.a.a'], 'Dim': 16, 'GalConjSigns': [1], 'Galn': 9, 'GaloisConjugates': [{'Sign': 1, 'Character': [[16], [0], [0], [0], [0], [0], [-8], [-2], [4], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0]], 'GalOrbIndex': 1, 'HardFactors': [23, 24], 'LocalFactors': [[[1], [-16], [120], [-560], [1820], [-4368], [8008], [-11440], [12870], [-11440], [8008], [-4368], [1820], [-560], [120], [-16], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [0], [-8], [0], [28], [0], [-56], [0], [70], [0], [-56], [0], [28], [0], [-8], [0], [1]], [[1], [8], [36], [112], [266], [504], [784], [1016], [1107], [1016], [784], [504], [266], [112], [36], [8], [1]], [[1], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [-4], [6], [-8], [17], [-24], [22], [-28], [36], [-28], [22], [-24], [17], [-8], [6], [-4], [1]], [[1], [2], [3], [-2], [-7], [-12], [-2], [8], [18], [8], [-2], [-12], [-7], [-2], [3], [2], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [0], [0], [-4], [0], [0], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [4], [0], [10], [0], [16], [0], [19], [0], [16], [0], [10], [0], [4], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [0], [-2], [0], [1], [0], [-2], [0], [4], [0], [-2], [0], [1], [0], [-2], [0], [1]], [[1], [0], [1], [0], [1], [0], [-2], [0], [-2], [0], [-2], [0], [1], [0], [1], [0], [1]], [[1], [-1], [0], [1], [-1], [0], [1], [-1], [0], [-1], [1], [0], [-1], [1], [0], [-1], [1]], [[1], [0], [0], [0], [2], [0], [0], [0], [3], [0], [0], [0], [2], [0], [0], [0], [1]], [[1], [0], [1], [0], [1]], [[1], [0], [-2], [0], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '9T31', 'Galt': 31, 'HardPrimes': [3, 29], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [9, 12, -45, 31, -30, 27, -5, 9, 0, 1], 'NumBadPrimes': 2, 'Proj_GAP': [1296, 3490], 'Proj_Polynomial': [9, 12, -45, 31, -30, 27, -5, 9, 0, 1], 'Proj_nTj': [9, 31]}
-
artin_field_data • Show schema
Hide schema
{'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.87.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [-1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.3.2t1.a', 'Character': [[1], [-1], [1], [-1], [1], [-1], [1], [1], [1], [1], [-1], [1], [1], [1], [-1], [-1], [1], [1], [-1], [-1], [1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.29.2t1.a', 'Character': [[1], [-1], [-1], [-1], [1], [1], [1], [1], [1], [1], [1], [-1], [-1], [-1], [-1], [-1], [1], [-1], [1], [-1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.87.6t3.a', 'Character': [[2], [-2], [0], [-2], [2], [0], [2], [2], [2], [-1], [0], [0], [0], [0], [-2], [-2], [2], [0], [0], [1], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '2.87.3t2.a', 'Character': [[2], [2], [0], [2], [2], [0], [2], [2], [2], [-1], [0], [0], [0], [0], [2], [2], [2], [0], [0], [-1], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.73167.4t5.a', 'Character': [[3], [-1], [1], [3], [-1], [1], [3], [3], [3], [0], [-1], [-1], [1], [1], [-1], [-1], [-1], [1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.2523.6t11.b', 'Character': [[3], [1], [-1], [-3], [-1], [1], [3], [3], [3], [0], [-1], [1], [-1], [-1], [1], [1], [-1], [-1], [1], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.7569.6t8.a', 'Character': [[3], [-1], [-1], [3], [-1], [-1], [3], [3], [3], [0], [1], [1], [-1], [-1], [-1], [-1], [-1], [-1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.219501.6t11.b', 'Character': [[3], [1], [1], [-3], [-1], [-1], [3], [3], [3], [0], [1], [-1], [1], [1], [1], [1], [-1], [1], [-1], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1546823547.9t31.a', 'Character': [[6], [4], [2], [0], [2], [0], [3], [-3], [0], [0], [2], [0], [-1], [2], [1], [-2], [-1], [-1], [0], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1546823547.18t300.a', 'Character': [[6], [-4], [-2], [0], [2], [0], [3], [-3], [0], [0], [2], [0], [1], [-2], [-1], [2], [-1], [1], [0], [0], [0], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1546823547.18t319.a', 'Character': [[6], [4], [-2], [0], [2], [0], [3], [-3], [0], [0], [-2], [0], [1], [-2], [1], [-2], [-1], [1], [0], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.1546823547.18t311.a', 'Character': [[6], [-4], [2], [0], [2], [0], [3], [-3], [0], [0], [-2], [0], [-1], [2], [-1], [2], [-1], [-1], [0], [0], [0], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.3902635809081.24t2893.a', 'Character': [[8], [0], [-4], [0], [0], [0], [-4], [-1], [2], [2], [0], [0], [2], [2], [0], [0], [0], [-1], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '8.3902635809081.12t213.a', 'Character': [[8], [0], [4], [0], [0], [0], [-4], [-1], [2], [2], [0], [0], [-2], [-2], [0], [0], [0], [1], [0], [0], [-1], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.208161688443168525183.36t2217.a', 'Character': [[12], [-4], [-2], [0], [0], [2], [0], [3], [-3], [0], [0], [0], [-2], [1], [2], [-1], [0], [1], [-1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.1873455195988516726647.36t2214.a', 'Character': [[12], [-4], [2], [0], [0], [-2], [0], [3], [-3], [0], [0], [0], [2], [-1], [2], [-1], [0], [-1], [1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.2012229654950629076769.36t2210.a', 'Character': [[12], [0], [0], [0], [-4], [0], [6], [-6], [0], [0], [0], [0], [0], [0], [0], [0], [2], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.1873455195988516726647.36t2216.a', 'Character': [[12], [4], [-2], [0], [0], [-2], [0], [3], [-3], [0], [0], [0], [-2], [1], [-2], [1], [0], [1], [1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '12.208161688443168525183.18t315.a', 'Character': [[12], [4], [2], [0], [0], [2], [0], [3], [-3], [0], [0], [0], [2], [-1], [-2], [1], [0], [-1], [-1], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '16.15230566258321311482064561.24t2912.a', 'Character': [[16], [0], [0], [0], [0], [0], [-8], [-2], [4], [-2], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0]], 'CharacterField': 1}], 'ComplexConjugation': 6, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8, 9]}, {'Size': '9', 'Order': 2, 'Representative': [1, 3, 2, 4, 5, 6, 7, 8, 9]}, {'Size': '18', 'Order': 2, 'Representative': [1, 5, 6, 4, 2, 3, 9, 8, 7]}, {'Size': '27', 'Order': 2, 'Representative': [4, 3, 2, 1, 6, 5, 7, 8, 9]}, {'Size': '27', 'Order': 2, 'Representative': [1, 3, 2, 4, 6, 5, 7, 8, 9]}, {'Size': '54', 'Order': 2, 'Representative': [5, 3, 2, 6, 1, 4, 8, 7, 9]}, {'Size': '6', 'Order': 3, 'Representative': [4, 2, 3, 8, 5, 6, 7, 1, 9]}, {'Size': '8', 'Order': 3, 'Representative': [4, 3, 9, 8, 6, 7, 5, 1, 2]}, {'Size': '12', 'Order': 3, 'Representative': [4, 2, 3, 8, 6, 7, 5, 1, 9]}, {'Size': '72', 'Order': 3, 'Representative': [2, 5, 6, 3, 1, 4, 8, 9, 7]}, {'Size': '54', 'Order': 4, 'Representative': [1, 6, 5, 4, 2, 3, 9, 8, 7]}, {'Size': '162', 'Order': 4, 'Representative': [2, 4, 1, 3, 5, 7, 6, 9, 8]}, {'Size': '36', 'Order': 6, 'Representative': [4, 5, 6, 8, 2, 3, 9, 1, 7]}, {'Size': '36', 'Order': 6, 'Representative': [3, 1, 4, 9, 5, 6, 7, 2, 8]}, {'Size': '36', 'Order': 6, 'Representative': [4, 3, 2, 8, 5, 6, 7, 1, 9]}, {'Size': '36', 'Order': 6, 'Representative': [4, 3, 2, 8, 6, 7, 5, 1, 9]}, {'Size': '54', 'Order': 6, 'Representative': [8, 3, 2, 1, 6, 5, 7, 4, 9]}, {'Size': '72', 'Order': 6, 'Representative': [4, 5, 6, 8, 3, 9, 2, 1, 7]}, {'Size': '108', 'Order': 6, 'Representative': [6, 3, 2, 7, 1, 4, 8, 5, 9]}, {'Size': '216', 'Order': 6, 'Representative': [2, 6, 5, 3, 1, 4, 8, 9, 7]}, {'Size': '144', 'Order': 9, 'Representative': [3, 5, 6, 9, 1, 4, 8, 2, 7]}, {'Size': '108', 'Order': 12, 'Representative': [4, 6, 5, 8, 2, 3, 9, 1, 7]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 2, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 2]}, {'Data': 0, 'Classes': 7, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 3]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 2, 2]}, {'Data': 0, 'Classes': 15, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['-5622997086286704837', '4279956388256678571', '-1369931350130058726', '216890568137565270', '-9826157671657461', '-2804811610563639', '658210553502480', '-67877039552625', '2778335461395', '264978214704', '-58434280227', '5178616983', '-214611768', '-4769847', '1323135', '-94257', '3807', '-90', '1'], 'ConjugacyClass': 3}, {'RootOf': ['657324726441665398029', '995675720103872222517', '492112748287346253840', '51673842068817245571', '-21165288104235547746', '-8420863421098809243', '-4007365674036585651', '-1410815744710955604', '-52663223519929665', '-46169581534190640', '7344349968417939', '2833866587990745', '531816108595353', '268520753505411', '24350152574628', '9954391610304', '721563486309', '227329733601', '12455855109', '3503790513', '119574225', '35199765', '590490', '216513', '1215', '729', '0', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [1, 1, 1, 2, 2, 2]}, {'Data': 0, 'Classes': 11, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 2, 4]}, {'Data': 0, 'Classes': 9, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 3, 3]}, {'Data': 0, 'Classes': 14, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 6]}, {'Data': 0, 'Classes': 17, 'Algorithm': 'CYC', 'CycleType': [1, 1, 2, 2, 3]}, {'Data': 0, 'Classes': 6, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 2, 2]}, {'Data': 0, 'Classes': 12, 'Algorithm': 'CYC', 'CycleType': [1, 2, 2, 4]}, {'Data': 0, 'Classes': 16, 'Algorithm': 'CYC', 'CycleType': [1, 2, 3, 3]}, {'Data': 0, 'Classes': 19, 'Algorithm': 'CYC', 'CycleType': [1, 2, 6]}, {'Data': 0, 'Classes': 13, 'Algorithm': 'CYC', 'CycleType': [2, 2, 2, 3]}, {'Data': 0, 'Classes': 22, 'Algorithm': 'CYC', 'CycleType': [2, 3, 4]}, {'Data': {'Powers': [1, 2], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['50625', '13500', '1350', '60', '1'], 'ConjugacyClass': 8}, {'RootOf': ['69918536408110187930969451313231471104', '61497101336213673108079505291031554304', '23346974439304352261801383515737467392', '2388649272196809387337103143683169803', '-1687026530754055179816941104226326728', '-807700512446095004350685374795769349', '-106118684320943006156705051157360174', '44129170852091192438505500276014299', '27302259858420267259048334931205680', '7630884551049376462835809934329047', '1380675518229019861532761132885893', '172872177572172192322603334194629', '14123688326608386744812042768970', '432066295877819267866105597347', '-68478168695778842810390882235', '-12800667424872524129649041823', '-1108809965878311811690526085', '-46974547988148997752084675', '1160124979356589855199247', '351687193677876611699388', '28882321951657480516107', '1288791137203132906269', '16344147233524419801', '-2393257395882597903', '-239537427048865422', '-13803412644346212', '-606703020747570', '-19909889247744', '-441959385429', '-828516519', '432002484', '21485088', '1150362', '27054', '1296', '0', '1'], 'ConjugacyClass': 10}], 'Algorithm': 'RES', 'CycleType': [3, 3, 3]}, {'Data': {'Powers': [1, 5], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['31618096232388772322068409627559196569', '48132364601202944846867767699719895854', '33724266665767416486788408688487117365', '14165642932285678063615694180495943072', '3843781161289398664440076757806079130', '646818535248431091823633428902784816', '42552666648493014104924407541131014', '-9819966590831819196749381150375298', '-3535794219845432295430901233882479', '-547416498685309049738683813858452', '-39199088252137962653383768985313', '2437617671225565541167112514874', '1081191513623677753704691386942', '151467422431150423670323932972', '10705376592356253208576092099', '-130035147169244354160917382', '-136553240471371695921777885', '-18385761007111447905422346', '-1291369278111825891430746', '-17000175375808372687860', '7767958255147438429563', '1068313092180671324052', '75016458098896703103', '2128793673507004728', '-173240661870411534', '-28148718926434986', '-2008469062207521', '-78313136390892', '-33204453363', '236759734242', '19388080863', '965376792', '34105779', '873774', '15714', '180', '1'], 'ConjugacyClass': 18}, {'RootOf': ['-3393239172749258236467975642581086183138590345830754011890243779796147626103793992517490349312323855375685494379608584151', '-15267349067955353451320467185459990361311412076030021614133521024750064710910084918093412306969963105800653961970839945931', '-19597228602907743086502788911863042077321174168357329556582322677995283625517021414462077187267799647792477334776262715858', '-13848455117580815400753794162490998046730624922243909849940560262223980834059055718170813375690878550217613932966824044418', '-6631052312013631419893486263402183826018602730108604458736341995955514150784557811501913151176436020518434962139966136527', '-2421282671521328207782214748593500140211117632270403855388303750728734361584490572466558318537454486709112394124844212663', '-747019057657962894354702784892464161140369973724846533582464646819671121422627449614404788672913572913035232405851191255', '-218249966109878598491269804521885207002891065561240123463298957583796036677843131377277853901550120355986293147803446444', '-65756101495961482582197040927394861695126088523620220464674418941772110285522901693394772623979169864188063215369899262', '-20200585827961528069899259041251324135981070100308405367836859821001353284726690925698965625580793000625048876579841417', '-5851442281541003968774127929790698968864758994132174571563178306257349578644205881165238015862949201603729409913169571', '-1484050820216467524933588373267791522009881995656817759587252585914614517843515603757524073619685104012883113719642103', '-310675991804338302326952948186873717203908698230161880760297716228934513114321006194356171677225385281177491499270972', '-49178486832459113563013123329756280591547611297649762370682830259435862076507659984864237404878298841122158931755542', '-4146267413692344148413447727148391510609300223253007396680468526024880666239078780246260338544299405195977420616824', '650188882445465235188212843809985692552630487560596364630239631905248732714277384290103171039361189942982906397463', '412645703063828049397738847523710755436584956060161919348505487778592114632879812604867019924972626773426510332614', '122502317574020525992909299934979531559227470524902009976915249490646124744946048677856649765299039826058788585472', '27895163328068639974897795558304845675597478279549285394718891787448789718544817265463568928822650720811533208224', '5398303539219836401951937014744863534547969488811676036774900827878674239286210850609080555407920544989783939351', '924921781229161494001986369726658695986037678044632866315403481316678715457106990692984138219729919638192478423', '143271680117639422048407631644888232030092369907621670973671567845049241158233659187448478214905398027375409282', '20304662384711319784423766459915874813492982937368712294218633544876677444216026073224533235176012536345879089', '2650779966800080678577513434257671069232317994423080915527574247356696721326298587677357983722946232965621195', '319842516949120522335558840718875224922008082723475284006210481434596210576688300491528327748620583868417668', '35680228432595689738372858577590385913388625761817870471036813962141348303906251705505914888887007754518126', '3669324394254951162088023324341588372139236858320832800830391235714759142668126595197519814486755179706163', '345304755759196872430909926985443896984953139227307687357910984479035144747006128117686169741919949682108', '29286824156811016459648800556666346848153661225275293528113786699893529362752950075740399178850135913137', '2167388907781185264193571709778452893364344209329852111408425368368273680617437958954795175324200529406', '128766631264683949994832213259157880975336007979025110516849341774160935850365050945357150275155081992', '4274676898748710368724909281261754288896608081235629406764917640242766919032062147345359188895827211', '-288706799284897369749984990980234839253955121130368162821653514387513636508818759843265705906681377', '-77753075918458623102920087646999830450055632643522221841647943478337954946172236027781571590066950', '-10112655024496377224774947167757866673636716501397903964580838525130575418828367657737796975496482', '-1015836536048296067252209645117749646499396677943041855467341138954921536131299315454521498363868', '-85523200465089714194479527590237786787044935162177032223123241574716574112131549174624175839150', '-6089606208430567577775175491746399227719088378097421119353694842194718453609470771542795857272', '-350425800531915966381077547500990781629757209366767291569903963139063081725759220399854538137', '-13216685967357662207819974734631341651740605231113380153831311713001497804680694256449408024', '195693247069333361881287652789081009677992573376504939248615041237205212756386882665489511', '102000204635231686560520869067463473472700550106056092798336784794998542370752180057460994', '12802719360160404770479807283050660911384283298017462688118054684463856389450188937303293', '1172708533756100694920797728994714251998306298760324481696880734675125532284012275252390', '88811627441756872916718013796592270408700803848547714447004221169311086528710543622235', '5697308391338705701915234159873556855489047333478388314101489655040825564622279983561', '300854172549880462445412256389015936571751787232480184698064185870606117731201280506', '11313618162997745585031509236043327378868716958398103014095280814131012844031818708', '40853210270238378069498794792470566757608014842409067487745626498056745590669750', '-45189335956538211873643869457026616514284534059381420263575556424635017948427382', '-5696989381537116774161325794329375785813754197936423911291264926811881285847136', '-498033246473056115886155188901860249043265547001080916051484198190623602429226', '-36130094876241429774007307757995758521426679621071556472454553916161895040192', '-2275911565106217701918473139767213628738351134962588437549658786987294465447', '-124765318843915098582479700832334498784570315904387630334312998070593827261', '-5727553708626253686114967632803918849112618632464042770426043881090816333', '-188670942046810290901850080384290634900005102934003618226608255838374959', '-382168540004818315439721747124334998669677856992158837230787747353632', '636301493367704995913072790140334963445405662778087390471473685713225', '72465595527386987664724804067825626837779785343350412444312720930900', '5846002861455993861329952751323701037221756716355449251814944670992', '400157090976151468341350772818303509268513311580243191305341427423', '24598327931179827198719432711789763169861385034424839586782663720', '1393209761920283731410017227462204426608781757082332683753555179', '73663547203544010465421636537609281772781197018055083859405940', '3653388093364504497336110051440658913406891159995451337342292', '169618696572382656777584846537068486810956524921845223348700', '7292911084941889549424329684337838555474840960103415492892', '283836281952556643904225560378280849921542722682121040566', '9522138162694639006598578094050868223634124600981506404', '238075305838454298537846424131452659149031215745262280', '1164605391915485788968262780065225840501614246064672', '-377718970262853619961889423137074837026918083926728', '-34423605647289188769720416815971647456309725009752', '-2193998831796782156385290913099994036859272582803', '-118655217210414384482025086624757981147332838237', '-5659064788478902994146013309391874381891768140', '-238318461939295832952255517219792598202730212', '-8300168741111009719247682401294459073983502', '-211609691984710616556854576381792856734637', '-247019238365850303669383888780512629840', '410399448046761153629603236982815007829', '37349464216892777273041413790331307699', '2507934621749645148483286154378986290', '145101542143784840695883618036808804', '7975768504446584261549173412307981', '388417908249102619534048207154208', '18655723988562254970089923273593', '801330369922479492131867067753', '35204411960712088869150891378', '1450662771380271753720897414', '59231518432947114571688652', '2435157354117656744672967', '84653125994711954305845', '3609853730788197452661', '97529851896460990632', '5061396286555714116', '97482690571240674', '6863878008482220', '71438124070296', '7845557549094', '15001516548', '7629937803', '-12859560', '6587244', '-3402', '3888', '0', '1'], 'ConjugacyClass': 20}], 'Algorithm': 'RES', 'CycleType': [3, 6]}, {'Data': 0, 'Classes': 21, 'Algorithm': 'CYC', 'CycleType': [9]}], 'Frobs': [20, 14, 22, 21, 20, 21, 20, 13, 22, 2, 14, 18, 16, 12, 20, 6, 11, 12, 10, 19, 12, 12, 19, 20, 18, 20, 17, 22, 21, 20, 13, 20, 15, 21, 19, 5, 18, 12, 22, 11, 22, 10, 2, 18, 19, 10, 18, 10, 19, 18, 22, 6, 21, 20, 6, 15, 20, 12, 21, 6, 17, 20, 3, 20, 21, 20, 14, 12, 19, 17, 19, 4, 12, 17, 12, 22, 20, 5, 11, 13, 11, 12, 11, 12, 21, 20, 20, 21, 15, 10, 16, 4, 17, 16, 21, 20, 22, 11, 21, 12, 21, 19, 20, 20, 17, 12, 11, 22, 20, 18, 18, 21, 15, 12, 21, 20, 21, 22, 20, 20, 21, 21, 20, 19, 21, 6, 17, 22, 12, 12, 18, 20, 14, 12, 22, 3, 15, 5, 16, 20, 21, 19, 12, 16, 12, 20, 12, 19, 12, 6, 17, 20, 17, 20, 12, 20, 10, 22, 21, 11, 20, 22, 18, 4, 19, 16, 10, 18], 'G-Gens': [[1, 2, 3, 4, 6, 7, 5, 8, 9], [1, 5, 6, 4, 2, 3, 9, 8, 7], [2, 5, 6, 3, 1, 4, 8, 9, 7], [1, 3, 9, 4, 5, 6, 7, 8, 2], [4, 2, 3, 8, 5, 6, 7, 1, 9], [1, 3, 2, 4, 5, 6, 7, 8, 9]], 'G-Name': 'H1296', 'Polynomial': [9, 12, -45, 31, -30, 27, -5, 9, 0, 1], 'QpRts': [['-1534006613996588053367655298039708498958645537142076188652965134087224189368109397698431280418098555575581843700342998809312684845927439507524792920764500527486310953052316618391871343024658667491514628838899838931836968439272657411575', '7736042820377971124650668501755831260613313001451801845786366075763822761516603550615972086731116794426125228961777609846641170975875002969941023438798669171139242733251900287901824722754788452265575220461003021112780139964889211263070', '3380284313163709411959719776806283393426945967175743655581769024160461060425830874476192098167000056835817274033021022602765623521149849830058416002750963241346237708608271757542977278766718021067503592378351219607872071473930438787637'], ['-11219273179134935614637026544181023523984547056407182200122395356565318591386266081240957942471423576455853925741726628671140623186675177007709155562942806756699308875451743828488797965517540655184566614397402108046502280757275334320308', '1118768258847755363492933698615420165218718007636547970577917765350844205509629264599328811342661724764389071561525105551568628107279538253338765424312238426884583155648856412046955657613395667546405868740968056975079766677984360995268', '-8194582305443804354110132453390087517903382415240927099420967506671901078821934742247599798381334712428298679075205737894151242335899481113420304396745859285108833868658821604612783605440741604926852156673125090956271529960844445635083'], ['-13388085751341283963642964294297309673741747371939194913583139446907638248946906771488839329419357662792991914590016261357731081706248144817393937894030476309654775147862636542105861782473369042392039940493336960195682231682927312648028', '-5155140998729557137070142323087062890047622033881965602273201222706645391812927836218313907035682041341750594515463411164694654804775194173871301035025092009246367428503215727943992793240183983400128773632121288680998697559964077238039', '18135300006329507306843409123691956837923241928529830849911948861998709549974724513482899842808971015262038985669118553860228250674497854760054717786050028820588219876062205932042420922734474516291733057717294729114287235197666824821593'], ['-6100581921197949628716975140954228829010690414434859385358020620769841305842817175927620246506847228255381351523377876432078714165799026229531755244621871989023993338907519273544423179201371919864968665184029320638493989874751979165922', '13722358778668225738990306301608065989086395631476193597905402136844347211492327878995450795541666658198854443903501169450225591593445110578418304926014922279054661782432252203630445194943247377334932382495980773478943587172063403827944', '689397040841608497022500672162074483443600281216575629013887739038169069789665613276666038042963608378298760638068698481605149440445832476572133913201533638979738845375613880798650408076674942416910799260839751192769215894987394670999'], ['4265039251210759229578795210617141611536150234997743459669960313302622492008906205069958169508785100671927260307487840601284105093950091423612595304615216153372525606251043509025749240372232746349237206914680982660221409895796865742360', '-10000657311515953502298920548193208480548081343591615962576546465536538790151046517522904134831548562209461463010781221664278107713354278551499889555970300417167016442481578019049854203398736703283734634058297889869186668724180168453094', '-14065618652324189397861188674723598961052695680137511565316292098800079419759228025730041706599007350047922950998028832775857477712902172453424167870097531940262243322078320293700793235891081552807318666078103758313645947828748991362957'], ['-8467087353679713296973911511687516036775466621413426424046713012619314134521888780552389297280024940123001940643799612546451401422421777729301691948826446835551648458967839248741194088976796330025102465741471750690493989508458480570021', '-17758731518550027512567514926079708713915299657721611229600685594200148397795626450614435891234686974776215966857439475063351618290940766498950840536727775861416446055286611519527482330570035693188655287387134005184862518054043120070715', '9251320660044094455710775998139794836576259232072328121477093616288639401363124157958634006384672694455441545955844117484471858898152541170062279476102635896499647162027770446630986909217057968947970101783329886965246489341834984515511'], ['4202048102468954067395116301070374425239316386415682964376752699316691642512982575482431127771239839451074680336311771945167296328471686305689096644211230682179122852716795739715444848604563583675865258826790768030272579612661614827661', '-8854811079225726488143602200371251425832031009088349816364283841114666967026232815215300898073778519190514300523302715398209799083154541223279788863110907598023825888900756699948780380368184119811981089201971078087859906642873572258338', '4814297992280094942150412676583804124476436448065183443839198482511440018396103867771407700214334655592481405042184715291385618814749631283361888393994896043762596160050549847069806326674023583859348564294773871348399458486914006847446'], ['7634588535194537682084630438993937327969335951576935574010985754857065495210926573626051526924945783830963195223720875241391399011726465737056548165386372516510304291959835891936294522226030587356483294022929159570330958314024636577497', '15155798310245510639369062871280271370595703377473581564849747688243184181963974353741218041867230603551212057526244632828972762518129472725371190590995392426413383870984793746993846996638920686683863407690419178550185366284144245691133', '-4069681354005317908982220448968357876870546248392319284595656763198630130215496487752858136209963665214116034671089721084370772961595682306630549915952496880325976553983885638341627686843392963484414391639190970800641287368917833458636'], ['-12006840978815487924730046836165835422569117582055199894835981097378397314639732930622843652249232816927345890059780522096967820194526264448627425498835700810253204363354565867931457166346046818707764455756663904899724580980894213813811', '4036372739881801773577208624471642724828904026245417631695283457355801186303298571618985095693020316577361522953938305613126026697495655920532535610712853582361784272854359315897037135626788315853722904891153231705918930881979716242771', '-9940717700885702952733276670301869320019859513288903750490981355326808471152789771235300044427636302833740306593912815966077008338598373646634413389304169535479386007403384327429637317293732911364880901044169638158015705236822379186510']], 'QpRts-minpoly': [65, 6, 0, 1], 'QpRts-p': 67, 'QpRts-prec': 129, 'Size': 1296, 'TransitiveDegree': 9}