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lfunc_lfunctions • Show schema
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 682839.1784040547, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 167961600000000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0], 'euler11': [1, 0, 20, 0, 342, 0, 2420, 0, 14641], 'euler13': [1, 12, 72, 372, 1598, 4836, 12168, 26364, 28561], 'euler17': [1, 0, 0, 0, 578, 0, 0, 0, 83521], 'euler19': [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, -158, 0, 0, 0, 279841], 'euler29': [1, 0, 112, 0, 4818, 0, 94192, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], 'euler37': [1, 28, 392, 3780, 26846, 139860, 536648, 1418284, 1874161], 'euler41': [1, 0, -160, 0, 9762, 0, -268960, 0, 2825761], 'euler43': [1, -16, 128, -1200, 10226, -51600, 236672, -1272112, 3418801], 'euler47': [1, 0, 0, 0, 1666, 0, 0, 0, 4879681], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -4174, 0, 0, 0, 7890481], 'euler59': [1, 0, -20, 0, 7062, 0, -69620, 0, 12117361], 'euler61': [1, 48, 1108, 15696, 148470, 957456, 4122868, 10895088, 13845841], 'euler67': [1, 32, 512, 6240, 59666, 418080, 2298368, 9624416, 20151121], 'euler7': [1, 0, 0, 0, 98, 0, 0, 0, 2401], 'euler71': [1, 0, -220, 0, 22182, 0, -1109020, 0, 25411681], 'euler73': [1, -12, 72, -1092, 16238, -79716, 383688, -4668204, 28398241], 'euler79': [1, 0, -188, 0, 21318, 0, -1173308, 0, 38950081], 'euler83': [1, 0, 0, 0, -5678, 0, 0, 0, 47458321], 'euler89': [1, 0, 256, 0, 32226, 0, 2027776, 0, 62742241], 'euler97': [1, 20, 200, 2940, 40718, 285180, 1881800, 18253460, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 98, 0, 0, 0, 2401], [1, 0, 20, 0, 342, 0, 2420, 0, 14641], [1, 12, 72, 372, 1598, 4836, 12168, 26364, 28561], [1, 0, 0, 0, 578, 0, 0, 0, 83521], [1, 0, -44, 0, 1206, 0, -15884, 0, 130321], [1, 0, 0, 0, -158, 0, 0, 0, 279841], [1, 0, 112, 0, 4818, 0, 94192, 0, 707281], [1, -32, 508, -5024, 33670, -155744, 488188, -953312, 923521], [1, 28, 392, 3780, 26846, 139860, 536648, 1418284, 1874161], [1, 0, -160, 0, 9762, 0, -268960, 0, 2825761], [1, -16, 128, -1200, 10226, -51600, 236672, -1272112, 3418801], [1, 0, 0, 0, 1666, 0, 0, 0, 4879681], [1, 0, 0, 0, -4174, 0, 0, 0, 7890481], [1, 0, -20, 0, 7062, 0, -69620, 0, 12117361], [1, 48, 1108, 15696, 148470, 957456, 4122868, 10895088, 13845841], [1, 32, 512, 6240, 59666, 418080, 2298368, 9624416, 20151121], [1, 0, -220, 0, 22182, 0, -1109020, 0, 25411681], [1, -12, 72, -1092, 16238, -79716, 383688, -4668204, 28398241], [1, 0, -188, 0, 21318, 0, -1173308, 0, 38950081], [1, 0, 0, 0, -5678, 0, 0, 0, 47458321], [1, 0, 256, 0, 32226, 0, 2027776, 0, 62742241], [1, 20, 200, 2940, 40718, 285180, 1881800, 18253460, 88529281]], 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3600/2/w/d'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-60e8-1.1-c1e4-0-5', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-60e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.361543129329554, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1506459445834756984, 'z1': {'__RealLiteral__': 0, 'data': '0.12056875026187638384639040697', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '152839048638235088820180632170,655632516907283894826938745028,1318532952902378719289290902228,2178317891614789369016875470043', 'Lhash_array': ['152839048638235088820180632170', '655632516907283894826938745028', '1318532952902378719289290902228', '2178317891614789369016875470043'], 'label': '8-60e8-1.1-c1e4-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3600/2/w/d'}