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

Formats: - HTML - YAML - JSON - 2026-03-05T13:48:52.655804

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': 251105831164.6035, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 15192874202374507341482622976, 'conductor_radical': 238, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -40, 0, 1084, 0, -18520, 0, 243046, 0, -2240920, 0, 15870844, 0, -70862440, 0, 214358881], 'euler13': [1, 0, 32, 0, 700, 0, 12512, 0, 192934, 0, 2114528, 0, 19992700, 0, 154457888, 0, 815730721], 'euler17': [1, 0, -28, 0, 774, 0, -8092, 0, 83521, 0, 0, 0, 0, 0, 0, 0, 0], 'euler19': [1, 0, 80, 0, 3484, 0, 104240, 0, 2303206, 0, 37630640, 0, 454038364, 0, 3763670480, 0, 16983563041], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -112, 0, 6460, 0, -245392, 0, 6639814, 0, -129812368, 0, 1807772860, 0, -16580019568, 0, 78310985281], 'euler29': [1, 0, 8, 0, 3388, 0, 20216, 0, 4284070, 0, 17001656, 0, 2396268028, 0, 4758586568, 0, 500246412961], 'euler3': [1, 0, -10, 0, 51, 0, -220, 0, 781, 0, -1980, 0, 4131, 0, -7290, 0, 6561], 'euler31': [1, 0, -194, 0, 17755, 0, -995996, 0, 37345069, 0, -957152156, 0, 16397115355, 0, -172175714114, 0, 852891037441], 'euler37': [1, 0, -128, 0, 8380, 0, -449408, 0, 19551334, 0, -615239552, 0, 15705469180, 0, -328412980352, 0, 3512479453921], 'euler41': [1, 0, -314, 0, 43675, 0, -3514916, 0, 179018629, 0, -5908573796, 0, 123415111675, 0, -1491532731674, 0, 7984925229121], 'euler43': [1, -20, 474, -6220, 84587, -818580, 7936492, -59221400, 438271245, -2546520200, 14674573708, -65082840060, 289186120187, -914392515460, 2996326085226, -5436372222140, 11688200277601], 'euler47': [1, 0, 328, 0, 49180, 0, 4379128, 0, 252730054, 0, 9673493752, 0, 239982711580, 0, 3535582627912, 0, 23811286661761], 'euler5': [1, 0, -26, 0, 331, 0, -2756, 0, 16261, 0, -68900, 0, 206875, 0, -406250, 0, 390625], 'euler53': [1, -12, 442, -4236, 83971, -652572, 9011140, -56761248, 599264629, -3008346144, 25312292260, -97152961644, 662571580051, -1771476108348, 9796647619018, -14096533678044, 62259690411361], 'euler59': [1, 0, 280, 0, 43324, 0, 4296040, 0, 301396966, 0, 14954515240, 0, 524972547964, 0, 11810549419480, 0, 146830437604321], 'euler61': [1, 0, -74, 0, 15115, 0, -783956, 0, 85117909, 0, -2917100276, 0, 209279886715, 0, -3812507702714, 0, 191707312997281], 'euler67': [1, -20, 306, -4180, 59507, -637380, 6321628, -59252600, 538059645, -3969924200, 28377788092, -191700320940, 1199132757347, -5643522947260, 27680264943714, -121214232106460, 406067677556641], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, -400, 0, 76924, 0, -9401200, 0, 794948806, 0, -47391449200, 0, 1954768149244, 0, -51240113568400, 0, 645753531245761], 'euler73': [1, 0, -314, 0, 53227, 0, -6160052, 0, 523681045, 0, -32826917108, 0, 1511553173707, 0, -47518947054746, 0, 806460091894081], 'euler79': [1, 0, -392, 0, 82588, 0, -11104184, 0, 1045200070, 0, -69301212344, 0, 3216809289628, 0, -95290282564232, 0, 1517108809906561], 'euler83': [1, 0, 112, 0, 29020, 0, 2221072, 0, 305619814, 0, 15300965008, 0, 1377240475420, 0, 36617321817328, 0, 2252292232139041], 'euler89': [1, 0, 280, 0, 61084, 0, 8025640, 0, 866218246, 0, 63571094440, 0, 3832547049244, 0, 139154761469080, 0, 3936588805702081], 'euler97': [1, 0, -650, 0, 194251, 0, -34919300, 0, 4128351781, 0, -328555693700, 0, 17196901363531, 0, -541431803203850, 0, 7837433594376961], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -10, 0, 51, 0, -220, 0, 781, 0, -1980, 0, 4131, 0, -7290, 0, 6561], [1, 0, -26, 0, 331, 0, -2756, 0, 16261, 0, -68900, 0, 206875, 0, -406250, 0, 390625], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -40, 0, 1084, 0, -18520, 0, 243046, 0, -2240920, 0, 15870844, 0, -70862440, 0, 214358881], [1, 0, 32, 0, 700, 0, 12512, 0, 192934, 0, 2114528, 0, 19992700, 0, 154457888, 0, 815730721], [1, 0, -28, 0, 774, 0, -8092, 0, 83521, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 80, 0, 3484, 0, 104240, 0, 2303206, 0, 37630640, 0, 454038364, 0, 3763670480, 0, 16983563041], [1, 0, -112, 0, 6460, 0, -245392, 0, 6639814, 0, -129812368, 0, 1807772860, 0, -16580019568, 0, 78310985281], [1, 0, 8, 0, 3388, 0, 20216, 0, 4284070, 0, 17001656, 0, 2396268028, 0, 4758586568, 0, 500246412961], [1, 0, -194, 0, 17755, 0, -995996, 0, 37345069, 0, -957152156, 0, 16397115355, 0, -172175714114, 0, 852891037441], [1, 0, -128, 0, 8380, 0, -449408, 0, 19551334, 0, -615239552, 0, 15705469180, 0, -328412980352, 0, 3512479453921], [1, 0, -314, 0, 43675, 0, -3514916, 0, 179018629, 0, -5908573796, 0, 123415111675, 0, -1491532731674, 0, 7984925229121], [1, -20, 474, -6220, 84587, -818580, 7936492, -59221400, 438271245, -2546520200, 14674573708, -65082840060, 289186120187, -914392515460, 2996326085226, -5436372222140, 11688200277601], [1, 0, 328, 0, 49180, 0, 4379128, 0, 252730054, 0, 9673493752, 0, 239982711580, 0, 3535582627912, 0, 23811286661761], [1, -12, 442, -4236, 83971, -652572, 9011140, -56761248, 599264629, -3008346144, 25312292260, -97152961644, 662571580051, -1771476108348, 9796647619018, -14096533678044, 62259690411361], [1, 0, 280, 0, 43324, 0, 4296040, 0, 301396966, 0, 14954515240, 0, 524972547964, 0, 11810549419480, 0, 146830437604321], [1, 0, -74, 0, 15115, 0, -783956, 0, 85117909, 0, -2917100276, 0, 209279886715, 0, -3812507702714, 0, 191707312997281], [1, -20, 306, -4180, 59507, -637380, 6321628, -59252600, 538059645, -3969924200, 28377788092, -191700320940, 1199132757347, -5643522947260, 27680264943714, -121214232106460, 406067677556641], [1, 0, -400, 0, 76924, 0, -9401200, 0, 794948806, 0, -47391449200, 0, 1954768149244, 0, -51240113568400, 0, 645753531245761], [1, 0, -314, 0, 53227, 0, -6160052, 0, 523681045, 0, -32826917108, 0, 1511553173707, 0, -47518947054746, 0, 806460091894081], [1, 0, -392, 0, 82588, 0, -11104184, 0, 1045200070, 0, -69301212344, 0, 3216809289628, 0, -95290282564232, 0, 1517108809906561], [1, 0, 112, 0, 29020, 0, 2221072, 0, 305619814, 0, 15300965008, 0, 1377240475420, 0, 36617321817328, 0, 2252292232139041], [1, 0, 280, 0, 61084, 0, 8025640, 0, 866218246, 0, 63571094440, 0, 3832547049244, 0, 139154761469080, 0, 3936588805702081], [1, 0, -650, 0, 194251, 0, -34919300, 0, 4128351781, 0, -328555693700, 0, 17196901363531, 0, -541431803203850, 0, 7837433594376961]], 'id': 23581215, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3332/2/b/c'], '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': '16-3332e8-1.1-c1e8-0-1', '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}, {'__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': '16-3332e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.158115348990427, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 436299554643839351, 'z1': {'__RealLiteral__': 0, 'data': '0.21991285521800350357138704208', 'prec': 103}}