-
lfunc_lfunctions • Show schema
Hide schema
{'A10': 0, 'A2': 0, 'A3': 1, 'A4': 0, 'A5': 0, 'A6': 0, 'A7': -1, 'A8': 0, 'A9': 1, 'Lhash': '360392003981114779', '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': [-0.3779644730092272, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'algebraic': True, 'analytic_conductor': 771.3548835255689, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -1]], [5, [1]], [7, [1, 1]], [23, [1, 1]]], 'bad_primes': [2, 3, 5, 7, 23], 'central_character': '96600.1', 'coefficient_field': '1.1.1.1', 'conductor': 96600, 'conductor_radical': 4830, 'degree': 2, 'euler_factors': [[1], [1, -1], [1], [1, 1], [1, 0, 11], [1, 6, 13], [1, -4, 17], [1, 4, 19], [1, 1], [1, 8, 29], [1, -4, 31], [1, 2, 37], [1, 0, 41], [1, 4, 43], [1, 4, 47], [1, -8, 53], [1, 0, 59], [1, -10, 61], [1, 4, 67], [1, 12, 71], [1, 12, 73], [1, -4, 79], [1, -12, 83], [1, 14, 89], [1, 6, 97]], 'gamma_factors': [[], [0]], 'index': 5, 'label': '2-96600-1.1-c1-0-5', 'leading_term': '1.32335541982', '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/96600/bq', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.25', 'prec': 14}, 'plot_values': [1.323355419817701, 0.5687452542909597, -1.293730166018329, -3.067690642311608, -3.282078788924783, -1.471472893099168, 1.001726701059415, 1.987938430773313, 0.8364666836879575, -0.7100507018911709, -0.5573708461072187, 0.9781587448274192, 1.489853318478246, -0.0754754525259712, -1.579579234436473, -0.6223140935558948, 1.606821467046671, 1.667216432996501, -0.8624519623744562, -2.237423103594092, -0.1403686301806524, 2.292050691376324, 1.032217435891038, -2.195314741158134, -2.153458531589382, 1.590794001001705, 3.696190281818891, 1.461329816307689, -1.138616806332211, -0.500423660592944, 0.7608131016853188, -0.7345916413190761, -2.583741073388387, -1.16968268847108, 1.159817765774935, 0.1263698807672459, -2.438433908071206, -1.894746104403707, 0.5835105810666861, 0.6413708249114171, -0.5894993965628504, 0.6883343838412938, 1.984806416433535, -1.539362593071826, -6.381754786814829, -5.085792057521683, 0.4736389962034144, 2.034430591152327, -0.6075780212867288, -0.6781803170356405, 2.000768981822032, 1.802019718249339, -0.4452144435014959, 0.5221638339830756, 2.784174159937256, 0.9187559772035576, -2.515980385170695, -1.94511094132387, 0.2749090971788881, -0.2019621444272234, -0.5811767908744527, 1.327713568237254, 0.5434484296239859, -4.163166249610489, -5.47147243621168, -1.536393211040499, 0.1516575461619927, -1.825568846142014, -0.8233494186920319, 2.233146435032781, 0.3708223685858728, -3.261061661722373, -0.654878372714742, 4.157252426257533, 2.818290714908448, -1.106924840648003, -0.9616470478241966, 0.09486301529729461, -1.072758774943273, -0.3123075688975511, 2.186963440717502, 0.7801222255605682, -2.275412812661035, -1.090882071230953, 0.4585048311445062, -2.244200785859561, -3.345047906214125, 0.2079697378495929, 1.412346409897291, -0.4730063676275363, 1.707420765532251, 5.110324620118755, 1.94665902336324, -2.336981973788607, -0.1260276331402641, 1.992763495346507, -1.46971020530171, -3.101232595278761, -0.1751489632194262, 0.1514605260617271, -1.674336084908196, 0.06556427330900705, 1.583591573391558, -0.9724724463278887, -1.688905711266234, 0.8617926987079351, 0.7241330261864816, 0.04609936962233303, 3.469575754954974, 4.765609686413956, 0.653945275361256, -0.8348316851822123, 0.4623476746899945, -3.387568154901793, -7.223873797622715, -2.27872113341416, 3.389740115565712, 1.587703263139321, -0.4875906242953997, 0.5809519229175022, -1.059279530224557], 'positive_zeros': ['0.3371289101746940', '1.392176762588905', '2.117580593193453', '2.598598474895493', '3.240919234112200', '3.817726258632385', '4.423604410499007', '5.011131129141966', '5.576845390566581', '6.153554818435580', '6.862218811037455', '7.319100196672591', '7.671502038075133', '8.353516815143742', '8.761617683333625', '9.430469024413153', '9.855140433534136', '10.17000157667735', '10.67582656519655', '11.47568825860772', '11.94226826240492', '12.31655110640654', '12.93309906115734', '13.19693990670487', '13.80781567975664', '14.45042508857970', '14.71169177755523', '15.08992816774620', '15.53536229467986', '16.37641285971365', '16.52964164811699', '17.05880222155653', '17.52081826851217', '18.02912551282409', '18.66074741397670', '19.16065139020785', '19.29139480020368', '19.77931508724743'], 'prelabel': '2-96600-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 27.77327642763037, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1-0', 'st_group': 'SU(2)', 'trace_hash': 360392003981114779, 'z1': {'__RealLiteral__': 0, 'data': '0.3371289101746940', 'prec': 60}, 'z2': {'__RealLiteral__': 0, 'data': '1.392176762588905', 'prec': 57}, 'z3': {'__RealLiteral__': 0, 'data': '2.117580593193453', 'prec': 57}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 771.3548835255689, 'bad_primes': [2, 3, 5, 7, 23], 'central_character': '1.1', 'conductor': 96600, 'conductor_radical': 4830, 'degree': 2, 'dirichlet_coefficients': [1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -6, 0, 0, 0, 4, 0, -4, 0, -1, 0, -1, 0, 0, 0, 1, 0, -8, 0, 4, 0, 0, 0, 0, 0, -2, 0, -6, 0, 0, 0, -4, 0, 0, 0, -4, 0, 1, 0, 4, 0, 8, 0, 0, 0, -4, 0, 0, 0, 10, 0, -1, 0, 0, 0, -4, 0, -1, 0, -12, 0, -12, 0, 0, 0, 0, 0, 4, 0, 1, 0, 12, 0, 0, 0, -8, 0, -14, 0, 6, 0, 4, 0, 0, 0, -6, 0, 0, 0], 'euler11': [1, 0, 11], 'euler13': [1, 6, 13], 'euler17': [1, -4, 17], 'euler19': [1, 4, 19], 'euler2': [1, 0, 0], 'euler23': [1, 1, 0], 'euler29': [1, 8, 29], 'euler3': [1, -1, 0], 'euler31': [1, -4, 31], 'euler37': [1, 2, 37], 'euler41': [1, 0, 41], 'euler43': [1, 4, 43], 'euler47': [1, 4, 47], 'euler5': [1, 0, 0], 'euler53': [1, -8, 53], 'euler59': [1, 0, 59], 'euler61': [1, -10, 61], 'euler67': [1, 4, 67], 'euler7': [1, 1, 0], 'euler71': [1, 12, 71], 'euler73': [1, 12, 73], 'euler79': [1, -4, 79], 'euler83': [1, -12, 83], 'euler89': [1, 14, 89], 'euler97': [1, 6, 97], 'euler_factors': [[1, 0, 0], [1, -1, 0], [1, 0, 0], [1, 1, 0], [1, 0, 11], [1, 6, 13], [1, -4, 17], [1, 4, 19], [1, 1, 0], [1, 8, 29], [1, -4, 31], [1, 2, 37], [1, 0, 41], [1, 4, 43], [1, 4, 47], [1, -8, 53], [1, 0, 59], [1, -10, 61], [1, 4, 67], [1, 12, 71], [1, 12, 73], [1, -4, 79], [1, -12, 83], [1, 14, 89], [1, 6, 97]], 'index': 5, 'instance_types': ['ECQ'], 'instance_urls': ['EllipticCurve/Q/96600/bq'], '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': '2-96600-1.1-c1-0-5', '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': '2-96600-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 27.77327642763037, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 360392003981114779, 'z1': {'__RealLiteral__': 0, 'data': '0.3371289101746940', 'prec': 60}}
-
lfunc_instances • Show schema
Hide schema
{'Lhash': '360392003981114779', 'Lhash_array': ['360392003981114779'], 'label': '2-96600-1.1-c1-0-5', 'type': 'ECQ', 'url': 'EllipticCurve/Q/96600/bq'}