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lfunc_lfunctions • Show schema
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'data': '0.60798069102817241945210999279', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.74244313692243571320409817133', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.36419258460414701214751002118', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 16898.24514314973, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 4096000, 'conductor_radical': 10, 'degree': 6, 'dirichlet_coefficients': [1, 0, 10, 0, -75, 0, -6, 0, -81, 0, -396, 0, -354, 0, -750, 0, 1158, 0, 3192, 0, -60, 0, 6126, 0, 3750, 0, 2648, 0, 426, 0, 3276, 0, -3960, 0, 450, 0, -11562, 0, -3540, 0, 12450, 0, 26346, 0, 6075, 0, 36762, 0, -27117, 0, 11580, 0, -21162, 0, 29700, 0, 31920, 0, 35040, 0, -24138, 0, 486, 0, 26550, 0, -9570, 0, 61260, 0, 88092, 0, 66750, 0, 37500, 0, 2376, 0, -92952, 0, 49838, 0, 30258, 0, -86850, 0, 4260, 0, 172686, 0, 2124, 0, 32760, 0, -239400, 0, 170910, 0, 32076, 0], 'euler11': [1, 396, 327873, 67617992, 52804274523, 10271220141996, 4177248169415651], 'euler13': [1, 354, 845379, 291738444, 313883305047, 48801906114546, 51185893014090757], 'euler17': [1, -1158, 1914111, -544550612, 2717763902127, -2334520936719942, 2862423051509815793], 'euler19': [1, -3192, 9330057, -15933739216, 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'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': '6-160e3-1.1-c5e3-0-0', 'motivic_weight': 5, '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}], 'nu_real_doubled': [5, 5, 5], 'order_of_vanishing': 0, 'prelabel': '6-160e3-1.1-c5e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.06570934520299, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5e3-0', 'trace_hash': 1383078899087754712, 'z1': {'__RealLiteral__': 0, 'data': '0.60798069102817241945210999279', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '770707087909036453656830727088,941158488155055138089745341553,1729319548700346579547443491082', 'Lhash_array': ['770707087909036453656830727088', '941158488155055138089745341553', '1729319548700346579547443491082'], 'label': '6-160e3-1.1-c5e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/160/6/a/g'}