{'Lhash': '1470473377676464715397395891985', 'a10': [-0.9569403357322088, -0.2902846772544624], 'a2': [-0.9951847266721969, 0.0980171403295606], 'a3': [0.5916365870938927, 1.4283370725582065], 'a4': [0.9807852804032304, -0.19509032201612828], 'a5': [0.9238795325112867, 0.3826834323650898], 'a6': [-0.7287892104951584, -1.3634687127683203], 'a7': [0.0, 0.0], 'a8': [-0.9569403357322088, 0.2902846772544624], 'a9': [-0.9830061604694905, 0.9830061604694905], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5171576384043273, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9951847266721969, -0.0980171403295606]]], [5, [[1.0, 0], [-0.9238795325112867, -0.3826834323650898]]], [19, [[1.0, 0], [0.9238795325112867, -0.3826834323650898]]]], 'bad_primes': [2, 5, 19], 'central_character': '3040.2469', 'coefficient_field': 'CDF', 'conductor': 3040, 'conductor_radical': 190, 'conjugate': '1748986056840309951681254188080', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9951847266721969, -0.0980171403295606]], [[1.0, 0], [-0.5916365870938927, -1.4283370725582065], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [-0.9238795325112867, -0.3826834323650898]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [-0.6363792902864169, 1.5363555134228326], [-0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [-0.8710275936922975, 0.3607914425085514], [0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0.9238795325112867, -0.3826834323650898]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0.18111205957153528, 0.07501907138385383], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0.48554359890621124, -1.1722059416028174], [-0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [0, 0], [-0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [-0.4252150473836282, -1.0265599343186735], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [-0.22217427330945994, -0.5363761438340849], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0], [0, 1.0]], [[1.0, 0], [0, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [-1.76384252869671, 0], [1.0, 0]], [[1.0, 0], [1.5363555134228326, 0.6363792902864169], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [1.4074037375263824, 1.4074037375263824], [0, 1.0]], [[1.0, 0], [-0.7324104244932061, 1.7681951800349338], [-0.7071067811865476, -0.7071067811865476]], [[1.0, 0], [0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [0, 1.268786568327291], [-1.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 19560484, 'index': 4, 'label': '2-3040-3040.2469-c0-0-4', 'leading_term': '1.2457374607343151714239335763302', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3040/1/cn/a/2469/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [1.2457374607343152, 1.2161675718945872, 1.193550995874413, 1.176287789962894, 1.1624024012986134, 1.1497380957372096, 1.1361355030273188, 1.119574429405759, 1.0982732031591733, 1.0707503177665372, 1.035857596173389, 0.9927941509343872, 0.9411083476965736, 0.88069245703047, 0.8117725298229671, 0.7348945013764984, 0.6509065802529272, 0.5609374771946495, 0.46636984236689405, 0.3688082995193868, 0.2700416187661283, 0.17199880569452727, 0.07669917055875078, -0.013803244961528165, -0.09748018083783258, -0.17239358557645412, -0.2367626206840502, -0.2890316204263527, -0.32793713329339674, -0.35257196547743097, -0.3624439958136813, -0.35752744544286075, -0.338304272330365, -0.3057934277069162, -0.26156586363164475, -0.20774342113532948, -0.14698005708535677, -0.0824242824119733, -0.017662178879662427, 0.0433590728860489, 0.09642659728856282, 0.13717493565767835, 0.16121495083954446, 0.1642759147273858, 0.1423574949647594, 0.0918877284393087, 0.009882511741509378, -0.10589832180728646, -0.25680360794221, -0.4431576041209785, -0.6641463837541537, -0.9177292174758993, -1.2005799470220166, -1.508062821545652, -1.8342465359555167, -2.1719592943930945, -2.512886634841408, -2.8477125159951555, -3.166302814986873, -3.4579289510882223, -3.7115278787122805, -3.9159932303835916, -4.060490987766957, -4.134791769225816, -4.129610698736141, -4.036944914551729, -3.8503981342466527, -3.5654813572668513, -3.179878790719977, -2.693668452999025, -2.1094876559029885, -1.4326346895640956, -0.6710995226084081, 0.16448184451637163, 1.0609526132620994, 2.002840884247291, 2.972644155788122, 3.951188325079957, 4.9180542455736775, 5.85206232667363, 6.731803269674946, 7.536200911126442, 8.245091381739524, 8.839801468027572, 9.303708256212065, 9.622761900050659, 9.78595372491237, 9.785712878218815, 9.618216357766661, 9.28359946769594, 8.78605651670278, 8.133824811339524, 7.339048614372107, 6.417523620776104, 5.388326523149651, 4.273338253877317, 3.096673356592271, 1.8840315065525415, 0.6619903252737983, -0.5427388136244696, -1.7040684295378052, -2.7972813981821503, -3.799741380186818, -4.691543035570285, -5.456079417541371, -6.080506382288315, -6.556087100971017, -6.878403718001539, -7.047427736425019, -7.067445669839457, -6.946841701624551, -6.697744341276087, -6.335549160894253, -5.8783344284515975, -5.3461906324232045, -4.760488335104817, -4.143111344284032, -3.5156837314192373, -2.8988196636978127, -2.3114243147893796, -1.7700722784512577, -1.288486981601094, -0.8771406771898161, -0.5429898345686152, -0.2893553179520884, -0.11595086684969944, -0.01905730539255073, 0.008166135323241243, -0.024752262186737695, -0.10613399667718959, -0.22276691891641118, -0.36057373259870107, -0.5053028306091859, -0.6432108971903049, -0.7617070697612067, -0.8499301599982251, -0.8992334267718163, -0.9035555586807951, -0.8596616904733425, -0.767244225419336, -0.6288797039578813, -0.4498446574032398, -0.23780000707228718, -0.002359803950618251, 0.24543434638268438, 0.4937072367245204, 0.7303830503592994, 0.9438260229457291, 1.123456864891093, 1.260314036113399, 1.3475314846043127, 1.3807084012644393, 1.3581517380950463, 1.2809784521263623, 1.153071385394288, 0.9808900413191809, 0.7731449121615089, 0.5403510826694616, 0.294283221099918, 0.04735943581510591, -0.18801446780543554, -0.40010628177782537, -0.5784893823321414, -0.7146115205218799, -0.8022692684518311, -0.8379613823629904, -0.8211002332209664, -0.7540675552558829, -0.6421087343761933, -0.4930683090872426, -0.316977858959393, -0.1255155681997877, 0.06863595882115262, 0.25250098950461036, 0.4135539333048356, 0.5404548251285961, 0.6237366611539048, 0.6564057583228202, 0.6344199459096561, 0.5570150065529564, 0.42685712412574356, 0.2500078278530867, 0.0356976239339349, -0.20408530826028765, -0.45517483436298645, -0.7019489136468386, -0.9281594370816014, -1.117828444278637, -1.256164439130924, -1.330449972778483, -1.3308516350568917, -1.251106169259932, -1.0890415414562664, -0.8468992594039892, -0.5314337212184613, -0.15377543688843986, 0.2709429343210993, 0.7241862628788851, 1.1848185805524893, 1.6300714935115541, 2.036634320439695, 2.38181310536201, 2.6447004280147848, 2.807295626447881, 2.8555158632097344, 2.7800424527991203, 2.5769539006528763, 2.2481068927928813, 1.8012385746433017, 1.2497772855182976, 0.6123637812585239, -0.08789988361049846, -0.8244420312817725, -1.5684085196718915, -2.2899890834048233, -2.9598180418431674, -3.550379281540179, -4.037343738159019, -4.400769690358085, -4.626102010083825, -4.704915861355791, -4.635362777950766, -4.422291976389993, -4.0770364218583355, -3.616870696780642, -3.0641651931874136, -2.445277611542427, -1.789237285440804, -1.126289634110288, -0.48637637694278374, 0.10236849462620443, 0.6150269156571812, 1.0311333344789113, 1.3356724052436189, 1.5197828192232108, 1.581127824777243, 1.523910899684735, 1.358534395483009, 1.1009187174397403, 0.77151863916258, 0.39409059934304597, -0.005720708953536478, -0.4018973296416027, -0.7695789904016934, -1.0865226391732608, -1.3344064003583633, -1.4999018138482605, -1.5754507141346858, -1.5596994237913873, -1.4575622064956781, -1.279907094581992, -1.042879090686495, -0.7668970942459882, -0.4753804799464222, -0.19327789348435798, 0.054516485863755, 0.2447660434955846], 'positive_zeros': ['1.15999895981725472859911522484062', '1.94392415194642290846764304538580', '2.34094292759677663204172320510693', '3.69734718665689455371845026995077', '5.00430478351938467456721270915457', '6.41918880119754680266884080892707', '6.47230132403868526080424728565882', '7.26221066325778350029732035728658', '8.084157944495914997275874457612243', '8.716289825492438216496791974557594'], 'prelabel': '2-3040-3040.2469-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2317295313518821, 'root_angle': -0.23437500000000003, 'root_number': '0.098017140329560601994195563888964 - 0.99518472667219688624483695310913*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.234375', 'prec': 30}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15999895981725472859911522484', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.94392415194642290846764304539', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.34094292759677663204172320511', 'prec': 103}}
