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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, 0, 0, 0, 0, -27, 0, -3, 0, 0, 0, 15, 0, 78, 0, 0, 0, -105, 0, 150, 0, 0, 0, 117, 0, 207, 0, 0, 0, 0, 0, -120, 0, 0, 0, 300, 0, 483, 0, 0, 0, -303, 0, -522, 0, 0, 0, -492, 0, 405, 0, 0, 0, -240, 0, -444, 0, 0, 0, 45, 0, 522, 0, 0, 0, 168, 0, -876, 0, 0, 0, 0, 0, 2103, 0, 0, 0, 42, 0, -225, 0, 0, 0, -2268, 0, 0, 0, 0, 0, -1170, 0, -1392, 0, 0, 0], 'euler11': [1, 27, 2721, 79918, 3621651, 47832147, 2357947691], 'euler13': [1, 3, 4962, 32735, 10901514, 14480427, 10604499373], 'euler17': [1, -15, 5031, 273298, 24717303, -362063535, 118587876497], 'euler19': [1, -78, 9942, -303500, 68192178, -3669578718, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 105, 25413, 2052802, 309199971, 15543768345, 1801152661463], 'euler29': [1, -117, 67683, -5431966, 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14507145975869], [1, -207, 69741, -8616098, 2077654131, -183713261967, 26439622160671], [1, 120, -39264, -10421922, -1988839392, 307887169080, 129961739795077], [1, -300, 82023, -31686600, 5653107183, -1425031272300, 327381934393961], [1, -483, 251961, -76432898, 20032663227, -3053218352667, 502592611936843], [1, 303, 166137, 65064754, 17248841751, 3266102244687, 1119130473102767], [1, 492, 476259, 138372072, 70904011143, 10904865675468, 3299763591802133], [1, 240, 213705, -18543136, 43890519195, 10123328073840, 8662995818654939], [1, 444, 185052, -860902, 42003288012, 22875046216284, 11694146092834141], [1, -522, 370530, -307525264, 111441714390, -47219275492218, 27206534396294947], [1, -168, -41151, 401172816, -14728395561, -21520847698728, 45848500718449031], [1, 876, 1148628, 668051142, 446835818676, 132568782229164, 58871586708267913], [1, -2103, 2885448, -2370776439, 1422638396472, -511212918960663, 119851595982618319], [1, -42, 653901, -416514772, 373892091087, -13731495681498, 186940255267540403], [1, 2268, 3125643, 3038479992, 2203481420067, 1127153567899548, 350356403707485209], [1, 1392, 3023340, 2460493802, 2759320787820, 1159497030861168, 760231058654565217]], 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/4/a/bh'], '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-c3e3-0-9', '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': 802700792662968141, 'z1': {'__RealLiteral__': 0, 'data': '1.04842071290843893553575578125', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1329031146010090793519102052346,1460247215191827235556829236344,1695558204434598392957687898739', 'Lhash_array': ['1329031146010090793519102052346', '1460247215191827235556829236344', '1695558204434598392957687898739'], 'factors': ['2-2160-1.1-c3-0-52', '2-2160-1.1-c3-0-61', '2-2160-1.1-c3-0-82'], 'label': '6-2160e3-1.1-c3e3-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2160/4/a/bh'}