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

Formats: - HTML - YAML - JSON - 2026-02-07T04:13:28.902728

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': 7081858715.9885235, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 27320246669480751529984, 'conductor_radical': 14, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, -10, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, -6, 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0], 'euler11': [1, 10, 103, 612, 3489, 14158, 54495, 155738, 422169, 814572, 1508023, 1610510, 1771561], 'euler13': [1, 0, 66, 0, 1931, 0, 32284, 0, 326339, 0, 1885026, 0, 4826809], 'euler17': [1, 0, 68, 0, 2063, 0, 40656, 0, 596207, 0, 5679428, 0, 24137569], 'euler19': [1, 0, 62, 0, 2075, 0, 46452, 0, 749075, 0, 8079902, 0, 47045881], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 18, 259, 2428, 19449, 119882, 644967, 2757286, 10288521, 29541476, 72478819, 115854174, 148035889], 'euler29': [1, -6, 91, -400, 4521, -18494, 167343, -536326, 3802161, -9755600, 64362571, -123066894, 594823321], 'euler3': [1, 0, 8, 0, 39, 0, 136, 0, 351, 0, 648, 0, 729], 'euler31': [1, 0, 102, 0, 5763, 0, 220452, 0, 5538243, 0, 94199142, 0, 887503681], 'euler37': [1, -22, 363, -4232, 40865, -318582, 2132263, -11787534, 55944185, -214363496, 680320443, -1525567054, 2565726409], 'euler41': [1, 0, 68, 0, 4783, 0, 172400, 0, 8040223, 0, 192151748, 0, 4750104241], 'euler43': [1, 18, 295, 3332, 33305, 266542, 1937375, 11461306, 61580945, 264917324, 1008546295, 2646151974, 6321363049], 'euler47': [1, 0, 102, 0, 8723, 0, 447940, 0, 19269107, 0, 497727462, 0, 10779215329], 'euler5': [1, 0, 10, 0, 43, 0, 172, 0, 1075, 0, 6250, 0, 15625], 'euler53': [1, -18, 355, -4036, 47421, -396350, 3358551, -21006550, 133205589, -600867572, 2801120755, -7527518874, 22164361129], 'euler59': [1, 0, 104, 0, 7319, 0, 321864, 0, 25477439, 0, 1260205544, 0, 42180533641], 'euler61': [1, 0, -120, 0, 15963, 0, -957040, 0, 59398323, 0, -1661500920, 0, 51520374361], 'euler67': [1, 42, 1095, 19740, 276873, 3072678, 27907319, 205869426, 1242882897, 5937061620, 22065477495, 56705254494, 90458382169], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 70, 2435, 55048, 896365, 11042010, 105351623, 783982710, 4518575965, 19702284728, 61877443235, 126296054570, 128100283921], 'euler73': [1, 0, -160, 0, 16755, 0, -1307968, 0, 89287395, 0, -4543718560, 0, 151334226289], 'euler79': [1, 6, 391, 1900, 68921, 271994, 7004543, 21487526, 430135961, 936774100, 15229481671, 18462338394, 243087455521], 'euler83': [1, 0, 94, 0, 12907, 0, 1359316, 0, 88916323, 0, 4461082174, 0, 326940373369], 'euler89': [1, 0, 272, 0, 42899, 0, 4696608, 0, 339802979, 0, 17065889552, 0, 496981290961], 'euler97': [1, 0, 156, 0, 6239, 0, -161984, 0, 58702751, 0, 13810567836, 0, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 8, 0, 39, 0, 136, 0, 351, 0, 648, 0, 729], [1, 0, 10, 0, 43, 0, 172, 0, 1075, 0, 6250, 0, 15625], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 10, 103, 612, 3489, 14158, 54495, 155738, 422169, 814572, 1508023, 1610510, 1771561], [1, 0, 66, 0, 1931, 0, 32284, 0, 326339, 0, 1885026, 0, 4826809], [1, 0, 68, 0, 2063, 0, 40656, 0, 596207, 0, 5679428, 0, 24137569], [1, 0, 62, 0, 2075, 0, 46452, 0, 749075, 0, 8079902, 0, 47045881], [1, 18, 259, 2428, 19449, 119882, 644967, 2757286, 10288521, 29541476, 72478819, 115854174, 148035889], [1, -6, 91, -400, 4521, -18494, 167343, -536326, 3802161, -9755600, 64362571, -123066894, 594823321], [1, 0, 102, 0, 5763, 0, 220452, 0, 5538243, 0, 94199142, 0, 887503681], [1, -22, 363, -4232, 40865, -318582, 2132263, -11787534, 55944185, -214363496, 680320443, -1525567054, 2565726409], [1, 0, 68, 0, 4783, 0, 172400, 0, 8040223, 0, 192151748, 0, 4750104241], [1, 18, 295, 3332, 33305, 266542, 1937375, 11461306, 61580945, 264917324, 1008546295, 2646151974, 6321363049], [1, 0, 102, 0, 8723, 0, 447940, 0, 19269107, 0, 497727462, 0, 10779215329], [1, -18, 355, -4036, 47421, -396350, 3358551, -21006550, 133205589, -600867572, 2801120755, -7527518874, 22164361129], [1, 0, 104, 0, 7319, 0, 321864, 0, 25477439, 0, 1260205544, 0, 42180533641], [1, 0, -120, 0, 15963, 0, -957040, 0, 59398323, 0, -1661500920, 0, 51520374361], [1, 42, 1095, 19740, 276873, 3072678, 27907319, 205869426, 1242882897, 5937061620, 22065477495, 56705254494, 90458382169], [1, 70, 2435, 55048, 896365, 11042010, 105351623, 783982710, 4518575965, 19702284728, 61877443235, 126296054570, 128100283921], [1, 0, -160, 0, 16755, 0, -1307968, 0, 89287395, 0, -4543718560, 0, 151334226289], [1, 6, 391, 1900, 68921, 271994, 7004543, 21487526, 430135961, 936774100, 15229481671, 18462338394, 243087455521], [1, 0, 94, 0, 12907, 0, 1359316, 0, 88916323, 0, 4461082174, 0, 326940373369], [1, 0, 272, 0, 42899, 0, 4696608, 0, 339802979, 0, 17065889552, 0, 496981290961], [1, 0, 156, 0, 6239, 0, -161984, 0, 58702751, 0, 13810567836, 0, 832972004929]], 'id': 21189221, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5488/2/a/j'], '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': '12-5488e6-1.1-c1e6-0-8', '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': 6, 'prelabel': '12-5488e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.61981122308474, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 459123729842274032, 'z1': {'__RealLiteral__': 0, 'data': '0.958005548964247243031098471981', 'prec': 107}}