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lfunc_lfunctions • Show schema
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{'Lhash': '1785042804991830489718488351983', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.400502654740909, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-4.413069504744565, 0.0], 'a8': [0.0, 0.0], 'a9': [2.7624129954181513, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 73.46236985957799, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '9200.1', 'coefficient_field': 'CDF', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.400502654740909, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [4.413069504744565, 0], [7.0, 0]], [[1.0, 0], [2.292887461384668, 0], [11.0, 0]], [[1.0, 0], [-6.929364055598322, 0], [13.0, 0]], [[1.0, 0], [-1.51387220594175, 0], [17.0, 0]], [[1.0, 0], [2.899197298802815, 0], [19.0, 0]], [[1.0, 0], 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0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 176, 'label': '2-9200-1.1-c1-0-176', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/9200/2/a/cx/1/6', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-1.5995093956377466e-60, 0.27650685936609226, 0.5514630504771147, 0.8232657230460095, 1.0902118271826466, 1.3504581153692035, 1.6019924394249365, 1.8426188377228352, 2.069958013230459, 2.281463880129053, 2.4744559791506973, 2.646166781521302, 2.7938022473687067, 2.9146134850468783, 3.0059769667488183, 3.065480478653347, 3.0910118040112327, 3.0808470402082815, 3.0337354252368427, 2.948977589193916, 2.8264942506523503, 2.6668825472869107, 2.471457427788277, 2.2422758407533814, 1.9821418375817081, 1.6945911598859404, 1.383854404026727, 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'5.98119948619663594923359414121462', '6.77904577168746900117172698041694', '7.50181606353906745017633154403559'], 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.40815048300410945079438049643', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.48124212432530265462058395912', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.02948467624602344359305953154', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 73.46236985957799, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 9200, 'conductor_radical': 230, 'degree': 2, 'index': 176, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9200/2/a/cx/1/6'], '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': '2-9200-1.1-c1-0-176', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-9200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.571019184413135, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.40815048300410945079438049643', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1785042804991830489718488351983', 'Lhash_array': ['1785042804991830489718488351983'], 'label': '2-9200-1.1-c1-0-176', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9200/2/a/cx/1/6'}