Formats: - HTML - YAML - JSON - 2025-12-29T19:35:24.979036
Query: /api/lfunc_lfunctions/?_offset=0
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{'A10': 0, 'A2': 0, 'A3': 0, 'A4': 0, 'A5': 0, 'A6': 0, 'A7': -4, 'A8': 0, 'A9': 0, 'Lhash': '808705860429731184', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [0.0, 0], 'a4': [0.0, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [-1.5118578920369088, 0], 'a8': [0.0, 0], 'a9': [0.0, 0], 'algebraic': True, 'analytic_conductor': 1494.7995258383696, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1]], [13, [1, 1]]], 'bad_primes': [2, 3, 5, 13], 'central_character': '187200.1', 'coefficient_field': '1.1.1.1', 'conductor': 187200, 'conductor_radical': 390, 'degree': 2, 'euler_factors': [[1], [1], [1], [1, 4, 7], [1, 0, 11], [1, 1], [1, 2, 17], [1, 4, 19], [1, -8, 23], [1, -2, 29], [1, 8, 31], [1, -2, 37], [1, -6, 41], [1, -12, 43], [1, 0, 47], [1, 10, 53], [1, 0, 59], [1, -10, 61], [1, 4, 67], [1, -16, 71], [1, -6, 73], [1, 8, 79], [1, -4, 83], [1, -14, 89], [1, -6, 97]], 'gamma_factors': [[], [0]], 'id': 8477016, 'index': 94, 'label': '2-187200-1.1-c1-0-94', 'leading_term': '1.62629409731', 'load_key': 'Cremona', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/Q/187200/x', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [1.626294097305312, 0.9829311296047641, -0.3794402787180053, -0.9903711701528194, 0.4145222650698568, 3.251050410158227, 4.989791162678284, 3.687835800925938, 0.5969594083091401, -0.9343623137972374, 0.3506358140213449, 1.901623338564353, 1.096591381371661, -0.7038147152367428, -0.2987404119847716, 1.878501135218222, 2.025225090264646, -0.6195027835650097, -1.808198897514259, 0.8944354405332571, 3.472111606338842, 1.682841424889878, -1.737223576507258, -1.589558077230134, 1.035189155140295, 1.254306426711882, -0.6027693802345023, -0.3458029061461879, 1.275890511263321, 0.05570459556575112, -2.317090920890045, 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'5.360257148704156', '5.896729117303167', '6.411495503528408', '6.797813508383054', '7.255008426012401', '7.769935260614643', '8.457332332676607', '9.023290842026323', '9.423994423080337', '9.547149586388307', '10.43393205995074', '10.75532582007855', '11.10568429596097', '11.71623292881244', '12.47881789136947', '12.72721388261281', '12.96392391465145', '13.40220246972337', '14.07834225372558', '14.59275398484086', '14.84878569322951', '15.57075738702726', '15.86206615103358', '16.19752326897450', '16.77782418330539', '17.21098518548442', '17.43974510236049', '18.12536252928185', '18.68743729051591', '19.01278667241726', '19.32841290932369', '19.86945880219045'], 'prelabel': '2-187200-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 38.662637336818726, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 808705860429731184, 'z1': {'__RealLiteral__': 0, 'data': '0.4299141709658364', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '0.9542586684373653', 'prec': 60}, 'z3': {'__RealLiteral__': 0, 'data': '2.057196521922973', 'prec': 57}}