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

Formats: - HTML - YAML - JSON - 2026-03-09T22:56:38.687707

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': 167710.53077407656, 'bad_primes': [2, 3, 5, 31], 'central_character': '1.1', 'conductor': 646990183449000000, 'conductor_radical': 930, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, -3, -6, 0, 0, 0, -3, 0, 2, 0, 0, 0, 0, 6, 0, 0, -2, 18, 0, 0, 0, 0, 16, 0, 0, 0, -12, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 12, 0, 0, -6, 18, 0, 0, 0, 9, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, 32, 0, 0, -10, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 6, 0, 0, -22, -36, 6, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 12, 0, 0, 0, -6, -48], 'euler11': [1, -2, -3, 94, -130, -378, 5017, -4158, -15730, 125114, -43923, -322102, 1771561], 'euler13': [1, 0, -16, 0, 32, 0, 1782, 0, 5408, 0, -456976, 0, 4826809], 'euler17': [1, 0, -60, 0, 1760, 0, -34586, 0, 508640, 0, -5011260, 0, 24137569], 'euler19': [1, 2, 25, -70, 506, 50, 22121, 950, 182666, -480130, 3258025, 4952198, 47045881], 'euler2': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -97, 0, 4643, 0, -133686, 0, 2456147, 0, -27144577, 0, 148035889], 'euler29': [1, 12, 178, 1516, 13143, 81944, 511932, 2376376, 11053263, 36973724, 125896018, 246133788, 594823321], 'euler3': [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], 'euler31': [1, -6, 15, -20, 15, -6, 1, 0, 0, 0, 0, 0, 0], 'euler37': [1, 0, -222, 0, 20535, 0, -1013060, 0, 28112415, 0, -416063742, 0, 2565726409], 'euler41': [1, -12, 82, -316, 2655, -32408, 302652, -1328728, 4463055, -21779036, 231712402, -1390274412, 4750104241], 'euler43': [1, 0, -225, 0, 22307, 0, -1245350, 0, 41245643, 0, -769230225, 0, 6321363049], 'euler47': [1, 0, -176, 0, 14112, 0, -755006, 0, 31173408, 0, -858823856, 0, 10779215329], 'euler5': [1, 6, 20, 50, 100, 150, 125, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -157, 0, 14507, 0, -945006, 0, 40750163, 0, -1238805517, 0, 22164361129], 'euler59': [1, 4, 270, 1084, 34487, 118728, 2602084, 7004952, 120049247, 222630836, 3271687470, 2859697196, 42180533641], 'euler61': [1, -32, 752, -11860, 154544, -1576320, 13712046, -96155520, 575058224, -2691994660, 10412072432, -27027081632, 51520374361], 'euler67': [1, 0, -288, 0, 40232, 0, -3395714, 0, 180601448, 0, -5803522848, 0, 90458382169], 'euler7': [1, 0, -9, 0, 59, 0, -614, 0, 2891, 0, -21609, 0, 117649], 'euler71': [1, -18, 357, -4954, 60870, -607962, 5761937, -43165302, 306845670, -1773091094, 9071970117, -32476128318, 128100283921], 'euler73': [1, 0, -205, 0, 25427, 0, -2278590, 0, 135500483, 0, -5821639405, 0, 151334226289], 'euler79': [1, 22, 313, 3238, 36770, 412246, 4269497, 32567434, 229481570, 1596460282, 12191375353, 67695240778, 243087455521], 'euler83': [1, 0, -332, 0, 55848, 0, -5777546, 0, 384736872, 0, -15756162572, 0, 326940373369], 'euler89': [1, 58, 1903, 42594, 718563, 9464116, 99708522, 842306324, 5691737523, 30027449586, 119398484623, 323875448042, 496981290961], 'euler97': [1, 0, -444, 0, 90312, 0, -10990582, 0, 849745608, 0, -39307000764, 0, 832972004929], 'euler_factors': [[1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 3, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 6, 20, 50, 100, 150, 125, 0, 0, 0, 0, 0, 0], [1, 0, -9, 0, 59, 0, -614, 0, 2891, 0, -21609, 0, 117649], [1, -2, -3, 94, -130, -378, 5017, -4158, -15730, 125114, -43923, -322102, 1771561], [1, 0, -16, 0, 32, 0, 1782, 0, 5408, 0, -456976, 0, 4826809], [1, 0, -60, 0, 1760, 0, -34586, 0, 508640, 0, -5011260, 0, 24137569], [1, 2, 25, -70, 506, 50, 22121, 950, 182666, -480130, 3258025, 4952198, 47045881], [1, 0, -97, 0, 4643, 0, -133686, 0, 2456147, 0, -27144577, 0, 148035889], [1, 12, 178, 1516, 13143, 81944, 511932, 2376376, 11053263, 36973724, 125896018, 246133788, 594823321], [1, -6, 15, -20, 15, -6, 1, 0, 0, 0, 0, 0, 0], [1, 0, -222, 0, 20535, 0, -1013060, 0, 28112415, 0, -416063742, 0, 2565726409], [1, -12, 82, -316, 2655, -32408, 302652, -1328728, 4463055, -21779036, 231712402, -1390274412, 4750104241], [1, 0, -225, 0, 22307, 0, -1245350, 0, 41245643, 0, -769230225, 0, 6321363049], [1, 0, -176, 0, 14112, 0, -755006, 0, 31173408, 0, -858823856, 0, 10779215329], [1, 0, -157, 0, 14507, 0, -945006, 0, 40750163, 0, -1238805517, 0, 22164361129], [1, 4, 270, 1084, 34487, 118728, 2602084, 7004952, 120049247, 222630836, 3271687470, 2859697196, 42180533641], [1, -32, 752, -11860, 154544, -1576320, 13712046, -96155520, 575058224, -2691994660, 10412072432, -27027081632, 51520374361], [1, 0, -288, 0, 40232, 0, -3395714, 0, 180601448, 0, -5803522848, 0, 90458382169], [1, -18, 357, -4954, 60870, -607962, 5761937, -43165302, 306845670, -1773091094, 9071970117, -32476128318, 128100283921], [1, 0, -205, 0, 25427, 0, -2278590, 0, 135500483, 0, -5821639405, 0, 151334226289], [1, 22, 313, 3238, 36770, 412246, 4269497, 32567434, 229481570, 1596460282, 12191375353, 67695240778, 243087455521], [1, 0, -332, 0, 55848, 0, -5777546, 0, 384736872, 0, -15756162572, 0, 326940373369], [1, 58, 1903, 42594, 718563, 9464116, 99708522, 842306324, 5691737523, 30027449586, 119398484623, 323875448042, 496981290961], [1, 0, -444, 0, 90312, 0, -10990582, 0, 849745608, 0, -39307000764, 0, 832972004929]], 'id': 17501296, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/d/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': '12-930e6-1.1-c1e6-0-1', '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}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-930e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1334218998205492464, 'z1': {'__RealLiteral__': 0, 'data': '0.07154066185754190947194523075', 'prec': 103}}