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

Formats: - HTML - YAML - JSON - 2025-12-29T13:36:57.271590

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': 3612.6217997006643, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 31640625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 44, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 940, 0, 0, -1232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 3168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3712, 0, 0, 8800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54208, 0, 0, -32, 0, -1377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -39844, 0, 825603846, 0, -8540915254564, 0, 45949729863572161], 'euler13': [1, 0, -5564, 0, 1639200966, 0, -4538725731644, 0, 665416609183179841], 'euler17': [1, 0, -179204, 0, 21980033286, 0, -1250083636456964, 0, 48661191875666868481], 'euler19': [1, 1232, 1090468, 598538864, 259253812870, 78002183295344, 18520032022193188, 2726803980289510352, 288441413567621167681], 'euler2': [1, 0, -44, 0, 996, 0, -11264, 0, 65536], 'euler23': [1, 0, -776144, 0, 307221847746, 0, -60780601359936464, 0, 6132610415680998648961], 'euler29': [1, 0, -2754244, 0, 2896957828806, 0, -1377800681419356484, 0, 250246473680347348787521], 'euler3': [1, 0, -72, 0, 6561, 0, 0, 0, 0], 'euler31': [1, -128, 3700228, -354763136, 5128695499270, -327631206121856, 3155891297688236548, -100820836324934369408, 727423121747185263828481], 'euler37': [1, 0, 4194436, 0, 11423282247366, 0, 14732870270786583556, 0, 12337511914217166362274241], 'euler41': [1, 0, -2649724, 0, 17725109777286, 0, -21157848017807412604, 0, 63759030914653054346432641], 'euler43': [1, 0, 308656, 0, 23400217686786, 0, 3607633144883214256, 0, 136614025729312093462315201], 'euler47': [1, 0, -7568144, 0, 61941774224706, 0, -180207246281486541584, 0, 566977372488557307219621121], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -27547844, 0, 314240308084806, 0, -1715120238940468655684, 0, 3876269050118516845397872321], 'euler59': [1, 0, -17001124, 0, 365920429524486, 0, -2496282476685324256804, 0, 21559177407076402401757871041], 'euler61': [1, 3712, 60550468, 157384000384, 1294071316694470, 2179113845260802944, 11607967521007847277508, 9852943392592639819687552, 36751693856637464631913392961], 'euler67': [1, 0, 67237936, 0, 1942370364498306, 0, 27303152515222063932976, 0, 164890958756244164895763202881], 'euler7': [1, 0, 9136, 0, 32396226, 0, 52667221936, 0, 33232930569601], 'euler71': [1, 0, -58515844, 0, 2147533062249606, 0, -37786812896826076337284, 0, 416997623116370028124580469121], 'euler73': [1, 0, 77942596, 0, 3131682251592966, 0, 62857593132623230174276, 0, 650377879817809571042122834561], 'euler79': [1, 32, 155800708, 3739209824, 9102682773105670, 145642525520795744, 236366626696479617645188, 1890928353013572908206112, 2301619141096101839813550846721], 'euler83': [1, 0, -150465104, 0, 10164521344710786, 0, -338891384947192946525264, 0, 5072820298953863752478356399681], 'euler89': [1, 0, -78445444, 0, 9411599532493446, 0, -308807456708729475768964, 0, 15496731425178936435099327730561], 'euler97': [1, 0, 341529796, 0, 44835517577704326, 0, 2676717096651110237429956, 0, 61425365346268570446197767595521], 'euler_factors': [[1, 0, -44, 0, 996, 0, -11264, 0, 65536], [1, 0, -72, 0, 6561, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 9136, 0, 32396226, 0, 52667221936, 0, 33232930569601], [1, 0, -39844, 0, 825603846, 0, -8540915254564, 0, 45949729863572161], [1, 0, -5564, 0, 1639200966, 0, -4538725731644, 0, 665416609183179841], [1, 0, -179204, 0, 21980033286, 0, -1250083636456964, 0, 48661191875666868481], [1, 1232, 1090468, 598538864, 259253812870, 78002183295344, 18520032022193188, 2726803980289510352, 288441413567621167681], [1, 0, -776144, 0, 307221847746, 0, -60780601359936464, 0, 6132610415680998648961], [1, 0, -2754244, 0, 2896957828806, 0, -1377800681419356484, 0, 250246473680347348787521], [1, -128, 3700228, -354763136, 5128695499270, -327631206121856, 3155891297688236548, -100820836324934369408, 727423121747185263828481], [1, 0, 4194436, 0, 11423282247366, 0, 14732870270786583556, 0, 12337511914217166362274241], [1, 0, -2649724, 0, 17725109777286, 0, -21157848017807412604, 0, 63759030914653054346432641], [1, 0, 308656, 0, 23400217686786, 0, 3607633144883214256, 0, 136614025729312093462315201], [1, 0, -7568144, 0, 61941774224706, 0, -180207246281486541584, 0, 566977372488557307219621121], [1, 0, -27547844, 0, 314240308084806, 0, -1715120238940468655684, 0, 3876269050118516845397872321], [1, 0, -17001124, 0, 365920429524486, 0, -2496282476685324256804, 0, 21559177407076402401757871041], [1, 3712, 60550468, 157384000384, 1294071316694470, 2179113845260802944, 11607967521007847277508, 9852943392592639819687552, 36751693856637464631913392961], [1, 0, 67237936, 0, 1942370364498306, 0, 27303152515222063932976, 0, 164890958756244164895763202881], [1, 0, -58515844, 0, 2147533062249606, 0, -37786812896826076337284, 0, 416997623116370028124580469121], [1, 0, 77942596, 0, 3131682251592966, 0, 62857593132623230174276, 0, 650377879817809571042122834561], [1, 32, 155800708, 3739209824, 9102682773105670, 145642525520795744, 236366626696479617645188, 1890928353013572908206112, 2301619141096101839813550846721], [1, 0, -150465104, 0, 10164521344710786, 0, -338891384947192946525264, 0, 5072820298953863752478356399681], [1, 0, -78445444, 0, 9411599532493446, 0, -308807456708729475768964, 0, 15496731425178936435099327730561], [1, 0, 341529796, 0, 44835517577704326, 0, 2676717096651110237429956, 0, 61425365346268570446197767595521]], 'id': 10587584, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/75/5/c/h'], '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': '8-75e4-1.1-c4e4-0-4', 'motivic_weight': 4, '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}], 'nu_real_doubled': [4, 4, 4, 4], 'order_of_vanishing': 0, 'prelabel': '8-75e4-1.1-c4e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7843755550012155, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c4e4-0', 'trace_hash': 746428452429409611, 'z1': {'__RealLiteral__': 0, 'data': '0.46398618199337959240624110096', 'prec': 103}}