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'1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c2e4-0', 'trace_hash': 1321438052845875091, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.20545440607039526451634565472', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.25320905450733790111707806014', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.14824841749661257816504019944', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 11999280.687732624, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 21767823360000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 12, 0, 0, 0, 60, 0, 66, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 8, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 108, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0], 'euler11': [1, 0, -96, 0, 29786, 0, -1405536, 0, 214358881], 'euler13': [1, 0, -352, 0, 71898, 0, -10053472, 0, 815730721], 'euler17': [1, -12, 1014, -9336, 426971, -2698104, 84690294, -289650828, 6975757441], 'euler19': [1, -12, 1462, -12888, 795003, -4652568, 190529302, -564550572, 16983563041], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -60, 2682, -85200, 2305763, -45070800, 750533562, -8882153340, 78310985281], 'euler29': [1, 0, -1096, 0, 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[1, 0, -1096, 0, 1242474, 0, -775179976, 0, 500246412961], [1, -68, 4678, -185096, 7169995, -177877256, 4320231238, -60350250308, 852891037441], [1, 0, -68, 0, -1268634, 0, -127442948, 0, 3512479453921], [1, 0, -5352, 0, 12407498, 0, -15123472872, 0, 7984925229121], [1, 0, -5672, 0, 14203050, 0, -19391439272, 0, 11688200277601], [1, 240, 29652, 2360400, 131534438, 5214123600, 144692301012, 2587011678960, 23811286661761], [1, 204, 26518, 2216664, 139145883, 6226609176, 209239775158, 4521529670316, 62259690411361], [1, 0, -10848, 0, 53616410, 0, -131449132128, 0, 146830437604321], [1, 196, 26986, 2432752, 174698131, 9052270192, 373643865226, 10097993374756, 191707312997281], [1, 0, 6508, 0, 32310150, 0, 131143495468, 0, 406067677556641], [1, 0, -4288, 0, 45932730, 0, -108965288128, 0, 645753531245761], [1, 0, -13280, 0, 84777594, 0, -377128640480, 0, 806460091894081], [1, 180, 21238, 2305800, 222156123, 14390497800, 827221820278, 43755741993780, 1517108809906561], [1, -108, 18474, 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'order_of_vanishing': 0, 'prelabel': '8-2160e4-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.671749285646928, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 1321438052845875091, 'z1': {'__RealLiteral__': 0, 'data': '0.20545440607039526451634565472', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '260444401174670935433611216117,320980609929449345717560501459,1455577795650695481773248585624,1605844255379370627684303925461', 'Lhash_array': ['260444401174670935433611216117', '320980609929449345717560501459', '1455577795650695481773248585624', '1605844255379370627684303925461'], 'label': '8-2160e4-1.1-c2e4-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/3/c/g'}