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'z3': {'__RealLiteral__': 0, 'data': '4.43486437003440839041916273830', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.6135208401839126, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 50625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 7, 6, 0, 0, 0, -18, 0, -84, 0, 0, 0, 0, 1, 0, 0, -112, 42, 0, 0, 0, 0, 146, 0, 0, 0, 636, 0, 104, 0, 0, 0, 0, -126, 0, 0, 0, 0, -816, 0, 0, -588, -108, 0, 0, 0, 616, 0, 0, 0, 0, 0, -504, 0, 0, 0, 372, 0, 680, 0, 0, 119, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, -784, 0, 0, -760, 6, 243, 0, 0, 0, 0, 0, 0, 0, -2232, 0, 0, 0, 0, 0, -672, 0, 0, 0, 1512, 1022], 'euler11': [1, 84, 7232, 341460, 15713646, 454483260, 12811929152, 198067606044, 3138428376721], 'euler13': [1, 0, -5008, 0, 13678638, 0, -24172659472, 0, 23298085122481], 'euler17': [1, 0, -12400, 0, 76051038, 0, -299305855600, 0, 582622237229761], 'euler19': [1, 112, 20332, 1731184, 211037014, 11874191056, 956536852492, 36141022151248, 2213314919066161], 'euler2': [1, 0, -7, 0, 48, 0, -448, 0, 4096], 'euler23': [1, 0, -46204, 0, 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1779197418239532716881], 'euler61': [1, -680, 892396, -418457720, 306371762326, -94981951743320, 45976575998258956, -7952019343127215880, 2654348974297586158321], 'euler67': [1, 0, -861340, 0, 346621507638, 0, -77915422897446460, 0, 8182718904632857144561], 'euler7': [1, 0, -616, 0, 316878, 0, -72471784, 0, 13841287201], 'euler71': [1, 72, 769388, 53420904, 404619603270, 19119929171544, 98558821245410348, 3301092051728330232, 16409682740640811134241], 'euler73': [1, 0, -429844, 0, 136740794118, 0, -65050109164968916, 0, 22902048046490258711521], 'euler79': [1, 760, 343756, 450464920, 638500277926, 222096773691880, 83562771360076876, 91087212946789922440, 59091511031674153381441], 'euler83': [1, 0, -916108, 0, 434315280918, 0, -299512691566327852, 0, 106890007738661124410161], 'euler89': [1, 2232, 4262972, 4941038664, 5026329026214, 3483279085921416, 2118617327890596092, 781995493075106986488, 246990403565262140303521], 'euler97': [1, 0, -2174980, 0, 2500346420358, 0, -1811697451280476420, 0, 693842360995438000295041], 'euler_factors': [[1, 0, -7, 0, 48, 0, -448, 0, 4096], [1, 0, 18, 0, 81, 0, 0, 0, 0], [1, -6, -110, -750, 15625, 0, 0, 0, 0], [1, 0, -616, 0, 316878, 0, -72471784, 0, 13841287201], [1, 84, 7232, 341460, 15713646, 454483260, 12811929152, 198067606044, 3138428376721], [1, 0, -5008, 0, 13678638, 0, -24172659472, 0, 23298085122481], [1, 0, -12400, 0, 76051038, 0, -299305855600, 0, 582622237229761], [1, 112, 20332, 1731184, 211037014, 11874191056, 956536852492, 36141022151248, 2213314919066161], [1, 0, -46204, 0, 828262758, 0, -6839850215356, 0, 21914624432020321], [1, -636, 213080, -51113412, 9255809598, -1246605005268, 126744953238680, -9226544840652684, 353814783205469041], [1, -104, 120268, -9211592, 5391440614, -274422537272, 106738292706508, -2749720704709784, 787662783788549761], [1, 0, -96016, 0, 4637534478, 0, -246350786886544, 0, 6582952005840035281], [1, 816, 522428, 201472848, 64123531494, 13885710157008, 2481587458417148, 267143658465472176, 22563490300366186081], [1, 0, -121900, 0, 14997346998, 0, -770574155673100, 0, 39959630797262576401], [1, 0, -225580, 0, 31469120358, 0, -2431575393915820, 0, 116191483108948578241], [1, 0, -376864, 0, 68697431598, 0, -8352949792519456, 0, 491258904256726154641], [1, -372, 872672, -232283124, 274164496494, -47706075723996, 36809770653558752, -3222634444539637308, 1779197418239532716881], [1, -680, 892396, -418457720, 306371762326, -94981951743320, 45976575998258956, -7952019343127215880, 2654348974297586158321], [1, 0, -861340, 0, 346621507638, 0, -77915422897446460, 0, 8182718904632857144561], [1, 72, 769388, 53420904, 404619603270, 19119929171544, 98558821245410348, 3301092051728330232, 16409682740640811134241], [1, 0, -429844, 0, 136740794118, 0, -65050109164968916, 0, 22902048046490258711521], [1, 760, 343756, 450464920, 638500277926, 222096773691880, 83562771360076876, 91087212946789922440, 59091511031674153381441], [1, 0, -916108, 0, 434315280918, 0, -299512691566327852, 0, 106890007738661124410161], [1, 2232, 4262972, 4941038664, 5026329026214, 3483279085921416, 2118617327890596092, 781995493075106986488, 246990403565262140303521], [1, 0, -2174980, 0, 2500346420358, 0, -1811697451280476420, 0, 693842360995438000295041]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/15/4/b/a'], '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': '8-15e4-1.1-c3e4-0-0', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3, 3, 3, 3], 'order_of_vanishing': 0, 'prelabel': '8-15e4-1.1-c3e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.9407596133370679, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e4-0', 'trace_hash': 689811815948906361, 'z1': {'__RealLiteral__': 0, 'data': '2.60559007101968636034862575648', 'prec': 103}}
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{'Lhash': '3302977817476820288962327066780,3541126538220584193284780025771,5621858480604906257651892621037,6948505508091672164455243354506', 'Lhash_array': ['3302977817476820288962327066780', '3541126538220584193284780025771', '5621858480604906257651892621037', '6948505508091672164455243354506'], 'label': '8-15e4-1.1-c3e4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/15/4/b/a'}