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'9.649524967431193453744246113398293', '10.59518901828211937165148394180318'], 'prelabel': '4-245e2-1.1-c11e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 13.72020696772098, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c11e2-0', 'trace_hash': 417701127309480653, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.44516493932278026984765769594', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.62196683767690785674218394785', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.79021339261273909024440086227', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 35435.833367823325, 'bad_primes': [5, 7], 'central_character': '1.1', 'conductor': 60025, 'conductor_radical': 35, 'degree': 4, 'dirichlet_coefficients': [1, -20, 220, 1640, 6250, -4400, 0, -98560, -163370, -125000, -618176, 360800, -3414260, 0, 1375000, 629696, -1317940, 3267400, -5325320, 10250000, 0, 12363520, 58943940, -21683200, 29296875, 68285200, -43558460, 0, 94140380, -27500000, -244543464, -118096640, -135998720, 26358800, 0, -267926800, 21003220, 106506400, -751137200, -616000000, 745743316, 0, 629950100, -1013808640, -1021062500, -1178878800, 1402061540, 138533120, 0, -585937500, -289946800, -5599386400, 1138320580, 871169200, -3863600000, 0, -1171570400, -1882807600, -7317515560, 2255000000, 1516425676, 4890869280, 0, 301114880, -21339125000, 2719974400, 15734290140, -2161421600, 12967666800, 0, 32938471544, 16101747200, 29982848860, -420064400, 6445312500, -8733524800, 0, 15022744000, -3302823120, 3935600000, 2206858891, 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618176, 245194892966, 176372827291625536, 81402749386839761113321], [1, 3414260, 6398662197390, 6118901546944767620, 3211838877954855105157369], [1, 1317940, 59308395866630, 45168303019681836020, 1174562876521148458974062689], [1, 5325320, 194538827137638, 620347905515863605080, 13569980418174090907801371961], [1, -58943940, 2773540471931410, -56162361201893038252380, 907846434775996175406740561329], [1, -94140380, 23426350431097358, -1148560625537257710275020, 148852438543083302439338564577241], [1, 244543464, 34393316207729486, 6213476955210806519074584, 645590698195138073036733040138561], [1, -21003220, 137126715218410590, -3736842952110798535529860, 31654680139659126296833481434130569], [1, -745743316, 929792912462405846, -410404197003144283471170356, 302862043149743582494593171234930481], [1, -629950100, 1840945003918927050, -585408684109270691396920700, 863586854220408743801513785592407849], [1, -1402061540, 5181805952108806370, -3466119356225881518923126620, 6111571184724799803076702357055363809], [1, -1138320580, -2203723231625575330, -10551134355163792174568166260, 85915027059992607611268303810877410409], [1, 7317515560, 55027608950440780118, 220666182919993363778064274040, 909377607891473342964601076981440190281], [1, -1516425676, 85869525433683691566, -65985621929329896972133859836, 1893461025894826042494075073080422272921], [1, -15734290140, 301074212435695161530, -1921630945963527828204398461620, 14915769363385151583217201855136979828889], [1, -32938471544, 731666210193863566526, -7612815042234722392539092148424, 53417513915589153425653513253411473303441], [1, -29982848860, 782530643556242053110, -9406419796744872334381266900220, 98424433237708439716398638596388483974129], [1, 3302823120, 1298575160021017948958, 2470491251027195520185436882480, 559494740587480879172162808385362976196641], [1, 13299102420, 1887951707947113574330, 17127001934831890207266183466140, 1658509762573818415340429240403156732495289], [1, -12674770860, 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'root_analytic_conductor': 13.72020696772098, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c11e2-0', 'trace_hash': 417701127309480653, 'z1': {'__RealLiteral__': 0, 'data': '0.44516493932278026984765769594', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '564313602533085730409499525782,788436635103185969857741360387', 'Lhash_array': ['564313602533085730409499525782', '788436635103185969857741360387'], 'label': '4-245e2-1.1-c11e2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/245/12/a/b'}