-
lfunc_lfunctions • Show schema
Hide schema
{'A10': 0, 'A2': 0, 'A3': 1, 'A4': 0, 'A5': 0, 'A6': 0, 'A7': 0, 'A8': 0, 'A9': 1, 'Lhash': '240541692710820685', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [0.5773502691896258, 0], 'a4': [0.0, 0], 'a5': [0.0, 0], 'a6': [0.0, 0], 'a7': [0.0, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 2582.362001368209, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -1]], [5, [1]], [7, [1]], [11, [1, 1]]], 'bad_primes': [2, 3, 5, 7, 11], 'central_character': '323400.1', 'coefficient_field': '1.1.1.1', 'conductor': 323400, 'conductor_radical': 2310, 'degree': 2, 'euler_factors': [[1], [1, -1], [1], [1], [1, 1], [1, 4, 13], [1, 0, 17], [1, 0, 19], [1, 6, 23], [1, 2, 29], [1, 0, 31], [1, 4, 37], [1, -6, 41], [1, -4, 43], [1, 4, 47], [1, 6, 53], [1, 0, 59], [1, 10, 61], [1, -10, 67], [1, 8, 71], [1, -14, 73], [1, -8, 79], [1, 0, 83], [1, 8, 89], [1, 10, 97]], 'gamma_factors': [[], [0]], 'index': 10, 'label': '2-323400-1.1-c1-0-10', 'leading_term': '1.05954649438', '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/323400/fn', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [1.059546494384555, 0.01923335619583189, -2.270860851642596, -3.711530085576019, -2.586655758317397, 0.3173934880626301, 2.054741337271733, 0.9762830402394345, -0.9667546839617464, -0.9208193314647009, 0.5514442263304703, 0.3980677819260841, -1.614427000044299, -2.034132697907869, 0.3973463285129007, 2.003668299316345, 0.3072819769596817, -1.250441526120909, 0.6905250542499386, 2.846955817950039, 1.024826483093205, -1.572596678047909, 0.1824586379163319, 3.216925928575512, 1.3158692216857, -2.962427638578445, -2.545487321766706, 1.026674481091305, 0.8903258906203724, -1.96739999775562, -1.632903131352543, 0.6498043215668369, 0.3301952956186001, -0.03227779897903097, 3.02465213328961, 4.872678279226972, 1.885359284903387, -0.6732583022217661, 0.2034209249232647, -0.4627137995596619, -3.129937124263276, -1.992100277087679, 0.9697098443669537, -0.8391896954231312, -3.139191067202379, 1.060589830697863, 5.364568851668935, 2.427592486912181, -0.9541042429160707, 1.028661257570085, 1.946504439564378, -0.3424590140475488, 0.9394383258367593, 4.223728595178774, 2.307905862305318, -1.172445650809047, -0.4714030481629425, -0.1577758754428118, -2.192522870157124, -0.9155749354025061, 1.782220127396114, 0.2488618558228438, -0.7050490239799359, 2.183433858083586, 1.528403044720261, -2.430226774587603, -1.189007071152078, 1.10690643966331, -3.014412505409428, -5.538950878668383, -1.157868301033772, 0.6975259213664929, -1.138057033286529, 1.844075709573301, 5.327027211120965, 2.295013672301561, -0.05839801133820436, 1.751527283288954, 0.783930979633392, -1.1855508747401, 0.7395143949145763, 0.9951970654393356, -1.137936501746525, 1.017642066634133, 3.05115844884597, -0.1626259794247482, -0.8660047497296613, 1.673420934514965, -0.5115754793041809, -2.284008988484763, 1.459370545801633, 1.146405806911669, -2.672016786823, 1.187927732387708, 6.12527908815474, 2.401035018765886, -0.9275556852987739, 0.4715603912316846, -0.6634214026830286, -1.09578725237736, 2.317268029536023, 1.211994377255343, -2.705853280277341, -1.289468586105756, 0.07655696524045547, -1.494500613041211, 0.1195388780676049, 0.7286959595690004, -2.894638079149548, -2.112601135391593, 0.6463194319459812, -2.107373743499253, -1.808941972104459, 3.066474090517039, 0.8386930482507015, -2.683817879812653, 1.851171582985563, 3.721653945002486, -0.1144214947950027, -0.03636907262619765, -0.4384244448965708], 'positive_zeros': ['0.2524719241516798', '1.222701594932522', '1.862413349233005', '2.401350216755055', '2.808145616338578', '3.465485486038949', '4.030492518532363', '4.441763149051091', '5.075873765640068', '5.487327238471838', '6.070364886161489', '6.668530864907088', '7.076182490764417', '7.661657998274213', '8.064074239417755', '8.255467956484979', '9.137267592739715', '9.457583501802168', '9.696813912816659', '10.39089261750529', '10.69108451977687', '11.20717683323254', '11.88285216532388', '12.16332923384968', '12.70359678463234', '12.92538906158768', '13.63762677567391', '14.08072597033416', '14.22083060093702', '14.81664904546047', '15.27335737638130', '15.57594060102595', '16.08894488019813', '16.57935679924775', '16.85598848291051', '17.56802906254029', '17.83579249865135', '18.15169973465090', '18.93484509317218', '19.01922098697631', '19.56752257491818', '19.92817879174762'], 'prelabel': '2-323400-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 50.816946005916265, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 240541692710820685, 'z1': {'__RealLiteral__': 0, 'data': '0.2524719241516798', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.222701594932522', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '1.862413349233005', 'prec': 57}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 2582.362001368209, 'bad_primes': [2, 3, 5, 7, 11], 'central_character': '1.1', 'conductor': 323400, 'conductor_radical': 2310, 'degree': 2, 'dirichlet_coefficients': [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, 0, 0, -4, 0, -4, 0, 6, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 10, 0, -6, 0, -8, 0, 14, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, -2, 0, -8, 0, 0, 0, 0, 0, 0, 0, -10, 0, -1, 0], 'euler11': [1, 1, 0], 'euler13': [1, 4, 13], 'euler17': [1, 0, 17], 'euler19': [1, 0, 19], 'euler2': [1, 0, 0], 'euler23': [1, 6, 23], 'euler29': [1, 2, 29], 'euler3': [1, -1, 0], 'euler31': [1, 0, 31], 'euler37': [1, 4, 37], 'euler41': [1, -6, 41], 'euler43': [1, -4, 43], 'euler47': [1, 4, 47], 'euler5': [1, 0, 0], 'euler53': [1, 6, 53], 'euler59': [1, 0, 59], 'euler61': [1, 10, 61], 'euler67': [1, -10, 67], 'euler7': [1, 0, 0], 'euler71': [1, 8, 71], 'euler73': [1, -14, 73], 'euler79': [1, -8, 79], 'euler83': [1, 0, 83], 'euler89': [1, 8, 89], 'euler97': [1, 10, 97], 'euler_factors': [[1, 0, 0], [1, -1, 0], [1, 0, 0], [1, 0, 0], [1, 1, 0], [1, 4, 13], [1, 0, 17], [1, 0, 19], [1, 6, 23], [1, 2, 29], [1, 0, 31], [1, 4, 37], [1, -6, 41], [1, -4, 43], [1, 4, 47], [1, 6, 53], [1, 0, 59], [1, 10, 61], [1, -10, 67], [1, 8, 71], [1, -14, 73], [1, -8, 79], [1, 0, 83], [1, 8, 89], [1, 10, 97]], 'index': 10, 'instance_types': ['ECQ'], 'instance_urls': ['EllipticCurve/Q/323400/fn'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': True, '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': '2-323400-1.1-c1-0-10', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-323400-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 50.816946005916265, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 240541692710820685, 'z1': {'__RealLiteral__': 0, 'data': '0.2524719241516798', 'prec': 60}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '240541692710820685', 'Lhash_array': ['240541692710820685'], 'label': '2-323400-1.1-c1-0-10', 'type': 'ECQ', 'url': 'EllipticCurve/Q/323400/fn'}