Formats: - HTML - YAML - JSON - 2025-12-18T21:39:31.433490
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 19.96906819153698, 'bad_primes': [2, 41], 'central_character': '1.1', 'conductor': 26896, 'conductor_radical': 82, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 16, -46, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -81, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, -56], 'euler11': [1, 0, 0, 0, 14641], 'euler13': [1, 34, 578, 5746, 28561], 'euler17': [1, 46, 1058, 13294, 83521], 'euler19': [1, 0, 0, 0, 130321], 'euler2': [1, 0, 4, 0, 0], 'euler23': [1, 0, -1058, 0, 279841], 'euler29': [1, -82, 3362, -68962, 707281], 'euler3': [1, 0, 0, 0, 81], 'euler31': [1, 0, -1922, 0, 923521], 'euler37': [1, -48, 3314, -65712, 1874161], 'euler41': [1, -18, 1681, 0, 0], 'euler43': [1, 0, 3698, 0, 3418801], 'euler47': [1, 0, 0, 0, 4879681], 'euler5': [1, 0, -14, 0, 625], 'euler53': [1, -146, 10658, -410114, 7890481], 'euler59': [1, 0, -6962, 0, 12117361], 'euler61': [1, 0, 6958, 0, 13845841], 'euler67': [1, 0, 0, 0, 20151121], 'euler7': [1, 0, 0, 0, 2401], 'euler71': [1, 0, 0, 0, 25411681], 'euler73': [1, 0, 1442, 0, 28398241], 'euler79': [1, 0, 0, 0, 38950081], 'euler83': [1, 0, -13778, 0, 47458321], 'euler89': [1, 82, 3362, 649522, 62742241], 'euler97': [1, 14, 98, 131726, 88529281], 'euler_factors': [[1, 0, 4, 0, 0], [1, 0, 0, 0, 81], [1, 0, -14, 0, 625], [1, 0, 0, 0, 2401], [1, 0, 0, 0, 14641], [1, 34, 578, 5746, 28561], [1, 46, 1058, 13294, 83521], [1, 0, 0, 0, 130321], [1, 0, -1058, 0, 279841], [1, -82, 3362, -68962, 707281], [1, 0, -1922, 0, 923521], [1, -48, 3314, -65712, 1874161], [1, -18, 1681, 0, 0], [1, 0, 3698, 0, 3418801], [1, 0, 0, 0, 4879681], [1, -146, 10658, -410114, 7890481], [1, 0, -6962, 0, 12117361], [1, 0, 6958, 0, 13845841], [1, 0, 0, 0, 20151121], [1, 0, 0, 0, 25411681], [1, 0, 1442, 0, 28398241], [1, 0, 0, 0, 38950081], [1, 0, -13778, 0, 47458321], [1, 82, 3362, 649522, 62742241], [1, 14, 98, 131726, 88529281]], 'id': 10073768, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/164/3/e/a'], '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': '4-164e2-1.1-c2e2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2], 'order_of_vanishing': 0, 'prelabel': '4-164e2-1.1-c2e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.113924392098466, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e2-0', 'trace_hash': 2152328621303699137, 'z1': {'__RealLiteral__': 0, 'data': '0.56557806712846605293109783590', 'prec': 103}}