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lfunc_lfunctions • Show schema
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{'Lhash': '1362762183674035457520970907194', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-2.722562563412072, 1.260021066612415], 'a4': [0, 0], 'a5': [0.6890111562528956, 4.952298822421668], 'a6': [0, 0], 'a7': [0, -0.735748124181275], 'a8': [0, 0], 'a9': [5.824693823385824, -6.860972370139019], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 26.158105378588505, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [2.722562563412072, -1.260021066612415]]], [5, [[1.0, 0], [-0.6890111562528956, -4.952298822421668]]]], 'bad_primes': [2, 3, 5], 'central_character': '960.449', 'coefficient_field': 'CDF', 'conductor': 960, 'conductor_radical': 30, 'conjugate': '401008811680817677605632240623', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.722562563412072, -1.260021066612415]], [[1.0, 0], [-0.6890111562528956, -4.952298822421668]], [[1.0, 0], [0, 0.735748124181275], [-49.0, 0]], [[1.0, 0], [0, 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-2.346977248792132, -2.539124153560738, -2.56140729007882, -2.4324272292951252, -2.1794395988718245], 'positive_zeros': ['1.07502980981406236658271039313419', '2.12404842130682739947658665627669', '3.95179620923138369543091524371517', '4.82604694614038341780141203844961', '5.62361343630633388970562501764255', '6.52861582393508864112828291094830', '7.20266889151087458479169557999611', '8.622260268413083098996936235176157', '8.837009602207884279521936491212362', '10.00546291568044938504974197193146'], 'prelabel': '2-960-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.114499523764618, 'root_angle': 0.31802376908483143, 'root_number': '0.5410584549465704442957588487286937191991479033356218733 + 0.8409849869830198108626897903604651913103388728170260147*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.15901188454241574', 'prec': 64}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 26.158105378588505, 'bad_primes': [2, 3, 5], 'central_character': '15.14', 'conductor': 960, 'conductor_radical': 30, 'degree': 2, 'index': 55, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/960/3/c/k/449/2'], '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': '2-960-15.14-c2-0-55', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-960-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.114499523764618, 'root_angle': 0.15901188454241572, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.07502980981406236658271039313', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1362762183674035457520970907194', 'Lhash_array': ['1362762183674035457520970907194'], 'label': '2-960-15.14-c2-0-55', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/960/3/c/k/449/2'}