Database - lfunc_search ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2025-12-18T21:44:48.198668

Query: /api/lfunc_search/?_offset=0

Column	Type
algebraic	boolean
analytic_conductor	double precision
bad_primes	bigint[]
central_character	text
conductor	numeric
conductor_radical	bigint
degree	smallint
dirichlet_coefficients	numeric[]
euler11	numeric[]
euler13	numeric[]
euler17	numeric[]
euler19	numeric[]
euler2	numeric[]
euler23	numeric[]
euler29	numeric[]
euler3	numeric[]
euler31	numeric[]
euler37	numeric[]
euler41	numeric[]
euler43	numeric[]
euler47	numeric[]
euler5	numeric[]
euler53	numeric[]
euler59	numeric[]
euler61	numeric[]
euler67	numeric[]
euler7	numeric[]
euler71	numeric[]
euler73	numeric[]
euler79	numeric[]
euler83	numeric[]
euler89	numeric[]
euler97	numeric[]
euler_factors	numeric[]
index	smallint
instance_types	text[]
instance_urls	text[]
is_instance_Artin	boolean
is_instance_BMF	boolean
is_instance_CMF	boolean
is_instance_DIR	boolean
is_instance_ECNF	boolean
is_instance_ECQ	boolean
is_instance_G2Q	boolean
is_instance_HMF	boolean
is_instance_MaassGL3	boolean
is_instance_MaassGL4	boolean
is_instance_MaassGSp4	boolean
is_instance_NF	boolean
label	text
motivic_weight	smallint
mu_imag	numeric[]
mu_real	smallint[]
nu_imag	numeric[]
nu_real_doubled	smallint[]
order_of_vanishing	smallint
prelabel	text
primitive	boolean
rational	boolean
root_analytic_conductor	double precision
root_angle	double precision
self_dual	boolean
spectral_label	text
trace_hash	bigint
z1	numeric

{'algebraic': True, 'analytic_conductor': 176555.5309552478, 'bad_primes': [3, 7], 'central_character': '1.1', 'conductor': 10682292637713281848641, 'conductor_radical': 21, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 3, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 6, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, -6, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, 0, 24, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -12, 0, 0, 0], 'euler11': [1, 0, -30, 0, 433, 0, -6750, 0, 94548, 0, -816750, 0, 6339553, 0, -53146830, 0, 214358881], 'euler13': [1, 16, 108, 608, 4058, 21168, 84016, 363184, 1510083, 4721392, 14198704, 46506096, 115900538, 225746144, 521295372, 1003976272, 815730721], 'euler17': [1, 0, 88, 0, 4060, 0, 118888, 0, 2413894, 0, 34358632, 0, 339095260, 0, 2124106072, 0, 6975757441], 'euler19': [1, -8, 96, -616, 5180, -27048, 169120, -749960, 3902886, -14249240, 61052320, -185522232, 675062780, -1525276984, 4516404576, -7150973912, 16983563041], 'euler2': [1, 0, -3, 0, 4, 0, 9, 0, -27, 0, 36, 0, 64, 0, -192, 0, 256], 'euler23': [1, 0, -68, 0, 2410, 0, -78608, 0, 2175859, 0, -41583632, 0, 674416810, 0, -10066440452, 0, 78310985281], 'euler29': [1, 0, -36, 0, 634, 0, 36720, 0, -1358973, 0, 30881520, 0, 448416154, 0, -21413639556, 0, 500246412961], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 44, 0, -470, 0, 21296, 0, 3004819, 0, 20465456, 0, -434054870, 0, 39050161964, 0, 852891037441], 'euler37': [1, -24, 548, -7728, 99946, -983304, 8870960, -64775784, 434572819, -2396704008, 12144344240, -49807297512, 187314895306, -535890099696, 1406018072132, -2278365051192, 3512479453921], 'euler41': [1, 0, -144, 0, 12274, 0, -734400, 0, 33922467, 0, -1234526400, 0, 34683390514, 0, -684015010704, 0, 7984925229121], 'euler43': [1, -16, 30, 352, 3569, -29280, -155426, -670864, 22062420, -28847152, -287382674, -2327964960, 12201700769, 51746971936, 189640891470, -4349097777712, 11688200277601], 'euler47': [1, 0, -8, 0, 2434, 0, 54304, 0, 595843, 0, 119957536, 0, 11877143554, 0, -86233722632, 0, 23811286661761], 'euler5': [1, 0, 0, 0, 34, 0, 0, 0, 531, 0, 0, 0, 21250, 0, 0, 0, 390625], 'euler53': [1, 0, 124, 0, 17002, 0, 1164112, 0, 80659795, 0, 3269990608, 0, 134153957962, 0, 2748380779996, 0, 62259690411361], 'euler59': [1, 0, -212, 0, 26746, 0, -2382032, 0, 162599779, 0, -8291853392, 0, 324090937306, 0, -8942273131892, 0, 146830437604321], 'euler61': [1, 28, 288, 2072, 26738, 274932, 1793248, 18697252, 197715843, 1140532372, 6672675808, 62404340292, 370210096658, 1750003535672, 14837867815968, 87996799408588, 191707312997281], 'euler67': [1, 16, -66, -1120, 19313, 125664, -1647170, -137072, 178788852, -9183824, -7394146130, 37795081632, 389178599873, -1512140119840, -5970253223154, 96971385685168, 406067677556641], 'euler7': [1, -4, 10, -16, 19, -16, 10, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, 268, 0, 41050, 0, 4445584, 0, 365188963, 0, 22410188944, 0, 1043149505050, 0, 34330876090828, 0, 645753531245761], 'euler73': [1, -48, 1256, -24528, 395164, -5371632, 62921432, -648240144, 5900593798, -47321530512, 335308311128, -2089656165744, 11221962506524, -50848300033104, 190075788218984, -530275128916656, 806460091894081], 'euler79': [1, -16, -114, 1504, 31505, -194592, -3315794, 1405040, 386832420, 110998160, -20693870354, -95941445088, 1227122301905, 4627892824096, -27711969929394, -307262543778544, 1517108809906561], 'euler83': [1, 0, -200, 0, 16978, 0, -1848800, 0, 206994163, 0, -12736383200, 0, 805747373938, 0, -65388074673800, 0, 2252292232139041], 'euler89': [1, 0, 552, 0, 143260, 0, 22887576, 0, 2457330438, 0, 181292489496, 0, 8988453445660, 0, 274333672610472, 0, 3936588805702081], 'euler97': [1, 12, -256, -1896, 60898, 249732, -8731168, -6405276, 1053870931, -621311772, -82151559712, 227923653636, 5391256154338, -16281597127272, -213240833261824, 969579413737356, 7837433594376961], 'euler_factors': [[1, 0, -3, 0, 4, 0, 9, 0, -27, 0, 36, 0, 64, 0, -192, 0, 256], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 34, 0, 0, 0, 531, 0, 0, 0, 21250, 0, 0, 0, 390625], [1, -4, 10, -16, 19, -16, 10, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -30, 0, 433, 0, -6750, 0, 94548, 0, -816750, 0, 6339553, 0, -53146830, 0, 214358881], [1, 16, 108, 608, 4058, 21168, 84016, 363184, 1510083, 4721392, 14198704, 46506096, 115900538, 225746144, 521295372, 1003976272, 815730721], [1, 0, 88, 0, 4060, 0, 118888, 0, 2413894, 0, 34358632, 0, 339095260, 0, 2124106072, 0, 6975757441], [1, -8, 96, -616, 5180, -27048, 169120, -749960, 3902886, -14249240, 61052320, -185522232, 675062780, -1525276984, 4516404576, -7150973912, 16983563041], [1, 0, -68, 0, 2410, 0, -78608, 0, 2175859, 0, -41583632, 0, 674416810, 0, -10066440452, 0, 78310985281], [1, 0, -36, 0, 634, 0, 36720, 0, -1358973, 0, 30881520, 0, 448416154, 0, -21413639556, 0, 500246412961], [1, 0, 44, 0, -470, 0, 21296, 0, 3004819, 0, 20465456, 0, -434054870, 0, 39050161964, 0, 852891037441], [1, -24, 548, -7728, 99946, -983304, 8870960, -64775784, 434572819, -2396704008, 12144344240, -49807297512, 187314895306, -535890099696, 1406018072132, -2278365051192, 3512479453921], [1, 0, -144, 0, 12274, 0, -734400, 0, 33922467, 0, -1234526400, 0, 34683390514, 0, -684015010704, 0, 7984925229121], [1, -16, 30, 352, 3569, -29280, -155426, -670864, 22062420, -28847152, -287382674, -2327964960, 12201700769, 51746971936, 189640891470, -4349097777712, 11688200277601], [1, 0, -8, 0, 2434, 0, 54304, 0, 595843, 0, 119957536, 0, 11877143554, 0, -86233722632, 0, 23811286661761], [1, 0, 124, 0, 17002, 0, 1164112, 0, 80659795, 0, 3269990608, 0, 134153957962, 0, 2748380779996, 0, 62259690411361], [1, 0, -212, 0, 26746, 0, -2382032, 0, 162599779, 0, -8291853392, 0, 324090937306, 0, -8942273131892, 0, 146830437604321], [1, 28, 288, 2072, 26738, 274932, 1793248, 18697252, 197715843, 1140532372, 6672675808, 62404340292, 370210096658, 1750003535672, 14837867815968, 87996799408588, 191707312997281], [1, 16, -66, -1120, 19313, 125664, -1647170, -137072, 178788852, -9183824, -7394146130, 37795081632, 389178599873, -1512140119840, -5970253223154, 96971385685168, 406067677556641], [1, 0, 268, 0, 41050, 0, 4445584, 0, 365188963, 0, 22410188944, 0, 1043149505050, 0, 34330876090828, 0, 645753531245761], [1, -48, 1256, -24528, 395164, -5371632, 62921432, -648240144, 5900593798, -47321530512, 335308311128, -2089656165744, 11221962506524, -50848300033104, 190075788218984, -530275128916656, 806460091894081], [1, -16, -114, 1504, 31505, -194592, -3315794, 1405040, 386832420, 110998160, -20693870354, -95941445088, 1227122301905, 4627892824096, -27711969929394, -307262543778544, 1517108809906561], [1, 0, -200, 0, 16978, 0, -1848800, 0, 206994163, 0, -12736383200, 0, 805747373938, 0, -65388074673800, 0, 2252292232139041], [1, 0, 552, 0, 143260, 0, 22887576, 0, 2457330438, 0, 181292489496, 0, 8988453445660, 0, 274333672610472, 0, 3936588805702081], [1, 12, -256, -1896, 60898, 249732, -8731168, -6405276, 1053870931, -621311772, -82151559712, 227923653636, 5391256154338, -16281597127272, -213240833261824, 969579413737356, 7837433594376961]], 'id': 11368783, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/f/n'], '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': '16-567e8-1.1-c1e8-0-5', 'motivic_weight': 1, '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-567e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 2069639098952366545, 'z1': {'__RealLiteral__': 0, 'data': '0.26594485493364336722179564960', 'prec': 103}}