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

Formats: - HTML - YAML - JSON - 2026-02-08T13:11:15.041319

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': 119.20433819558139, 'bad_primes': [2, 3], 'central_character': '24.5', 'conductor': 24, 'conductor_radical': 6, 'degree': 2, 'dirichlet_coefficients': [1, -16384, -4782969, 268435456, -11577394034, 78364164096, -193132900798, -4398046511104, 22876792454961, 189684023853056, 720252825193582, -1283918464548864, 0, 3164289446674432, 55374316765406946, 72057594037927936, 0, -374813367582081024, 0, -3107783046808469504, 923748677396909262, -11800622287971647488, 0, 21035720123168587776, 96783149633879652531, 0, -109418989131512359209, -51843718294313893888, -239163927290883595538, -907252805884427403264, 1487053511440341707042, -1180591620717411303424, -3444946935063321704958, 0, 2235975693467879039132, 6140942214464815497216, 0, 0, 0, 50917917438909964353536, 0, -15134698330470961348608, 0, 193341395566127472443392, -264853640485121695102674, 0, 0, -344649238497994142121984, -422686219174089851939997, -1585695123601484227067904, 0, 0, -2493538039018795134031538, 1792720717930698493280256, -8338650761367821141889788, 849407480534038837460992, 0, 3918461784733836829294592, 4628202273695994234168622, 14864429971610458575077376, 0, -24363884731438558528176128, -4418261287780417695958878, 19342813113834066795298816, 0, 56442010584077462814031872, 0, 0, 0, -36634225761777730177138688, 0, -100613197241791537106386944, -43980854921531886461068318, 0, -462910804421207727786544539, 0, -139104517437591307552278436, 0, -385455539594119457156247838, -834239159319100855968333824, 523347633027360537213511521, 0, 1227167273478473553631896142, 247966897446436230735593472, 0, 0, 1143913650150550220066792322, -3167705424955432508512534528, 0, 4339362045708233852562210816, 0, 0, -7112530846560299734188967698, 0, 0, 5646733123551136024526585856, -12497567780595875582388896638, 6925291014948288134184910848, 16477074397052880751841260302, 25980028905086717576280539136], 'euler11': [1, -720252825193582, 144209936106499234037676064081], 'euler13': [1, 0, -15502932802662396215269535105521], 'euler17': [1, 0, -28351092476867700887730107366063041], 'euler19': [1, 0, -638411683925748518131605316913942641], 'euler2': [1, 16384, 0], 'euler23': [1, 0, -134393854047545109686936775588697536481], 'euler29': [1, 239163927290883595538, 88540901833145211536614766025207452637361], 'euler3': [1, 4782969, 0], 'euler31': [1, -1487053511440341707042, 572964121067545096123347421337293637543041], 'euler37': [1, 0, -81217248802771228597652036390959994837496721], 'euler41': [1, 0, -1438626275603521989270100382252682485138269921], 'euler43': [1, 0, -5459046029871041534743397034507955551606171601], 'euler47': [1, 0, -65877941798660252683780571409941608871644628161], 'euler5': [1, 11577394034, 37252902984619140625], 'euler53': [1, 2493538039018795134031538, 1904251686165483303166544735375573842653419591761], 'euler59': [1, -4628202273695994234168622, 38358032782038398419973086399760468678777161743121], 'euler61': [1, 0, -97551820892064552722266841889541788960852432978481], 'euler67': [1, 0, -1349256365417755877454657051946796697206085388680241], 'euler7': [1, 193132900798, 459986536544739960976801], 'euler71': [1, 0, -6842798698940938981814244812733146152009703886272161], 'euler73': [1, 43980854921531886461068318, 14894985451961941943846586557477384171894488107677281], 'euler79': [1, 385455539594119457156247838, 136006152866792691625201101984747368303641150837104961], 'euler83': [1, -1227167273478473553631896142, 542233801012015735135407853098133122208235840693558641], 'euler89': [1, 0, -3827543948647425430322045212330289877339037312647605281], 'euler97': [1, 12497567780595875582388896638, 42619520516862344959898006540158454742326868747150111361], 'euler_factors': [[1, 16384, 0], [1, 4782969, 0], [1, 11577394034, 37252902984619140625], [1, 193132900798, 459986536544739960976801], [1, -720252825193582, 144209936106499234037676064081], [1, 0, -15502932802662396215269535105521], [1, 0, -28351092476867700887730107366063041], [1, 0, -638411683925748518131605316913942641], [1, 0, -134393854047545109686936775588697536481], [1, 239163927290883595538, 88540901833145211536614766025207452637361], [1, -1487053511440341707042, 572964121067545096123347421337293637543041], [1, 0, -81217248802771228597652036390959994837496721], [1, 0, -1438626275603521989270100382252682485138269921], [1, 0, -5459046029871041534743397034507955551606171601], [1, 0, -65877941798660252683780571409941608871644628161], [1, 2493538039018795134031538, 1904251686165483303166544735375573842653419591761], [1, -4628202273695994234168622, 38358032782038398419973086399760468678777161743121], [1, 0, -97551820892064552722266841889541788960852432978481], [1, 0, -1349256365417755877454657051946796697206085388680241], [1, 0, -6842798698940938981814244812733146152009703886272161], [1, 43980854921531886461068318, 14894985451961941943846586557477384171894488107677281], [1, 385455539594119457156247838, 136006152866792691625201101984747368303641150837104961], [1, -1227167273478473553631896142, 542233801012015735135407853098133122208235840693558641], [1, 0, -3827543948647425430322045212330289877339037312647605281], [1, 12497567780595875582388896638, 42619520516862344959898006540158454742326868747150111361]], 'id': 24179606, 'index': 40, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/24/29/h/a', 'ModularForm/GL2/Q/holomorphic/24/29/h/a/5/1'], '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': '2-24-24.5-c28-0-40', 'motivic_weight': 28, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [28], 'order_of_vanishing': 0, 'prelabel': '2-24-24.5-c28-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 10.918073923342954, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c28-0', 'trace_hash': 110285531781982783, 'z1': {'__RealLiteral__': 0, 'data': '0.47115282267813737411299623663', 'prec': 103}}