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{'algebraic': True, 'analytic_conductor': 1.0685349267955346, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 100, 'conductor_radical': 10, 'degree': 4, 'dirichlet_coefficients': [1, 4, 2, 8, -30, 8, -38, 0, 2, -120, 404, 16, -198, -152, -60, -64, -478, 8, 0, -240, -76, 1616, 1082, 0, 275, -792, 162, -304, 0, -240, -1516, -256, 808, -1912, 1140, 16, 282, 0, -396, 0, 2084, -304, -1518, 3232, -60, 4328, -918, -128, 722, 1100, -956, -1584, -3638, 648, -12120, 0, 0, 0, 0, -480, 4164, -6064, -76, -512, 5940, 3232, 10162, -3824, 2164, 4560, -6956, 0, -6958, 1128, 550, 0, -15352, -1584, 0, 1920, -5917, 8336, 12162, -608, 14340, -6072, 0, 0, 0, -240, 7524, 8656, -3032, -3672, 0, -512, 1122, 2888, 808, 2200], 'euler11': [1, -404, 70086, -5914964, 214358881], 'euler13': [1, 198, 19602, 5655078, 815730721], 'euler17': [1, 478, 114242, 39923038, 6975757441], 'euler19': [1, 0, -259042, 0, 16983563041], 'euler2': [1, -4, 8, 0, 0], 'euler23': [1, -1082, 585362, -302787962, 78310985281], 'euler29': [1, 0, -1374562, 0, 500246412961], 'euler3': [1, -2, 2, -162, 6561], 'euler31': [1, 1516, 2421606, 1400057836, 852891037441], 'euler37': [1, -282, 39762, -528513402, 3512479453921], 'euler41': [1, -2084, 6737286, -5888885924, 7984925229121], 'euler43': [1, 1518, 1152162, 5189739918, 11688200277601], 'euler47': [1, 918, 421362, 4479547158, 23811286661761], 'euler5': [1, 30, 625, 0, 0], 'euler53': [1, 3638, 6617522, 28705569878, 62259690411361], 'euler59': [1, 0, -3074722, 0, 146830437604321], 'euler61': [1, -4164, 32026406, -57654081924, 191707312997281], 'euler67': [1, -10162, 51633122, -204775691602, 406067677556641], 'euler7': [1, 38, 722, 91238, 5764801], 'euler71': [1, 6956, 62919846, 176763653036, 645753531245761], 'euler73': [1, 6958, 24206882, 197594960878, 806460091894081], 'euler79': [1, 0, -18917762, 0, 1517108809906561], 'euler83': [1, -12162, 73957122, -577188100002, 2252292232139041], 'euler89': [1, 0, -93222082, 0, 3936588805702081], 'euler97': [1, -1122, 629442, -99329853282, 7837433594376961], 'euler_factors': [[1, -4, 8, 0, 0], [1, -2, 2, -162, 6561], [1, 30, 625, 0, 0], [1, 38, 722, 91238, 5764801], [1, -404, 70086, -5914964, 214358881], [1, 198, 19602, 5655078, 815730721], [1, 478, 114242, 39923038, 6975757441], [1, 0, -259042, 0, 16983563041], [1, -1082, 585362, -302787962, 78310985281], [1, 0, -1374562, 0, 500246412961], [1, 1516, 2421606, 1400057836, 852891037441], [1, -282, 39762, -528513402, 3512479453921], [1, -2084, 6737286, -5888885924, 7984925229121], [1, 1518, 1152162, 5189739918, 11688200277601], [1, 918, 421362, 4479547158, 23811286661761], [1, 3638, 6617522, 28705569878, 62259690411361], [1, 0, -3074722, 0, 146830437604321], [1, -4164, 32026406, -57654081924, 191707312997281], [1, -10162, 51633122, -204775691602, 406067677556641], [1, 6956, 62919846, 176763653036, 645753531245761], [1, 6958, 24206882, 197594960878, 806460091894081], [1, 0, -18917762, 0, 1517108809906561], [1, -12162, 73957122, -577188100002, 2252292232139041], [1, 0, -93222082, 0, 3936588805702081], [1, -1122, 629442, -99329853282, 7837433594376961]], 'id': 9591532, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/10/5/c/b'], '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': '4-10e2-1.1-c4e2-0-1', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4, 4], 'order_of_vanishing': 0, 'prelabel': '4-10e2-1.1-c4e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0167102000267547, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c4e2-0', 'trace_hash': 15187975224503944, 'z1': {'__RealLiteral__': 0, 'data': '3.59263323010505890195366133299', 'prec': 103}}