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{'Lhash': '1375106531652224855865195869221,1494014370617089044885943692743,1620417058229523360044726409176', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': -15, 'a6': 0, 'a7': -6, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2069948.1449300856, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, 15, 75, 125]]], 'bad_primes': [2, 3, 5], 'central_character': '2160.1', 'coefficient_field': '1.1.1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'euler_factors': [[1], [1], [1, 15, 75, 125], [1, 6, 573, 6860, 196539, 705894, 40353607], [1, -12, 2733, -11024, 3637623, -21258732, 2357947691], [1, -18, 5391, -55708, 11844027, -86882562, 10604499373], [1, -21, 7458, -253565, 36641154, -506888949, 118587876497], [1, 57, 8592, 1114405, 58932528, 2681615217, 322687697779], [1, -87, 28512, -1461623, 346905504, -12879122343, 1801152661463], [1, 138, 20103, 3593564, 490292067, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2069948.1449300856, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 10077696000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -15, 0, -6, 0, 0, 0, 12, 0, 18, 0, 0, 0, 21, 0, -57, 0, 0, 0, 87, 0, 150, 0, 0, 0, -138, 0, -117, 0, 0, 0, 90, 0, 150, 0, 0, 0, 0, 0, -180, 0, 0, 0, 684, 0, -537, 0, 0, 0, -87, 0, -180, 0, 0, 0, 714, 0, -513, 0, 0, 0, -270, 0, 174, 0, 0, 0, 768, 0, -252, 0, 0, 0, -72, 0, -207, 0, 0, 0, 1689, 0, -315, 0, 0, 0, -312, 0, -108, 0, 0, 0, 855, 0, -1080, 0, 0, 0], 'euler11': [1, -12, 2733, -11024, 3637623, -21258732, 2357947691], 'euler13': [1, -18, 5391, -55708, 11844027, -86882562, 10604499373], 'euler17': [1, -21, 7458, -253565, 36641154, -506888949, 118587876497], 'euler19': [1, 57, 8592, 1114405, 58932528, 2681615217, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -87, 28512, -1461623, 346905504, -12879122343, 1801152661463], 'euler29': [1, 138, 20103, 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14507145975869], [1, 117, 20988, -2423207, 625253508, 103837930677, 26439622160671], [1, -150, 95907, -17945796, 4857977271, -384858961350, 129961739795077], [1, 0, 68055, -17332488, 4690418655, 0, 327381934393961], [1, 180, 22293, -3328688, 1772449551, 1137845348820, 502592611936843], [1, -684, 347853, -110757224, 36115142019, -7372983285036, 1119130473102767], [1, 87, 277926, -2139897, 41376789102, 1928299418223, 3299763591802133], [1, -714, 669321, -272637508, 137464477659, -30116901019674, 8662995818654939], [1, 513, 466794, 175503629, 105953368914, 26429952047193, 11694146092834141], [1, -174, 677229, -48960124, 203685425727, -15739758497406, 27206534396294947], [1, -768, 869433, -382859112, 311179634463, -98381018051328, 45848500718449031], [1, 252, 967647, 141584400, 376431132999, 38136225024828, 58871586708267913], [1, 207, 981660, 306571995, 483996664740, 50319103292847, 119851595982618319], [1, -1689, 2368140, -1880402401, 1354071666180, -552202290620241, 186940255267540403], [1, 312, 1492215, 319203960, 1051965316335, 155058162779832, 350356403707485209], [1, 1080, 1410147, 2105654384, 1287003092931, 899609765323320, 760231058654565217]], 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/4/a/bg'], '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': '6-2160e3-1.1-c3e3-0-12', 'motivic_weight': 3, '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}], 'nu_real_doubled': [3, 3, 3], 'order_of_vanishing': 3, 'prelabel': '6-2160e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 11.289115360044814, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1199324751592361067, 'z1': {'__RealLiteral__': 0, 'data': '1.08476778333450002225523145844', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1375106531652224855865195869221,1494014370617089044885943692743,1620417058229523360044726409176', 'Lhash_array': ['1375106531652224855865195869221', '1494014370617089044885943692743', '1620417058229523360044726409176'], 'label': '6-2160e3-1.1-c3e3-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/4/a/bg'}