{'Lhash': '116827129533374901738120098766', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 12.0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 106.20343801033316, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '1800.649', 'coefficient_field': 'CDF', 'conductor': 1800, 'conductor_radical': 30, 'conjugate': '1902722953852598993375930319974', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -12.0], [-343.0, 0]], [[1.0, 0], [64.0, 0], [1331.0, 0]], [[1.0, 0], [0, -58.0], [-2197.0, 0]], [[1.0, 0], [0, -32.0], [-4913.0, 0]], [[1.0, 0], [-136.0, 0], [6859.0, 0]], [[1.0, 0], [0, -128.0], [-12167.0, 0]], [[1.0, 0], [144.0, 0], [24389.0, 0]], [[1.0, 0], [-20.0, 0], [29791.0, 0]], [[1.0, 0], [0, -18.0], [-50653.0, 0]], [[1.0, 0], [-288.0, 0], [68921.0, 0]], [[1.0, 0], [0, 200.0], [-79507.0, 0]], [[1.0, 0], [0, -384.0], [-103823.0, 0]], [[1.0, 0], [0, 496.0], [-148877.0, 0]], [[1.0, 0], [128.0, 0], [205379.0, 0]], [[1.0, 0], [458.0, 0], [226981.0, 0]], [[1.0, 0], [0, -496.0], [-300763.0, 0]], [[1.0, 0], [512.0, 0], [357911.0, 0]], [[1.0, 0], [0, 602.0], [-389017.0, 0]], [[1.0, 0], [1108.0, 0], [493039.0, 0]], [[1.0, 0], [0, 704.0], [-571787.0, 0]], [[1.0, 0], [960.0, 0], [704969.0, 0]], [[1.0, 0], [0, 206.0], [-912673.0, 0]], [[1.0, 0], [432.0, 0], [1030301.0, 0]], [[1.0, 0], [0, 68.0], [-1092727.0, 0]], [[1.0, 0], [0, 384.0], [-1225043.0, 0]], [[1.0, 0], [-518.0, 0], [1295029.0, 0]], [[1.0, 0], [0, -960.0], [-1442897.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 24002668, 'index': 3, 'label': '2-1800-5.4-c3-0-3', 'leading_term': '0.393215287367424411700892968348675938438045071111490988', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1800/4/f/b/649/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [0.3932152873674244, 0.17263023333434502, -0.0381473468562106, -0.23612545799454826, -0.41845432650025294, -0.5824563730848704, -0.7256561880324837, -0.845810491954414, -0.9409379623321846, -1.009348693892734, -1.0496729441251147, -1.060888699565658, -1.0423474894138542, -0.9937977760105087, -0.9154051718011533, -0.80776867422185, -0.6719320774586407, -0.5093897164873209, -0.32208572661199136, -0.11240606240773408, 0.11683738589465036, 0.3624311133783113, 0.620793134777849, 0.8880151202197746, 1.1599135066436077, 1.432089324023778, 1.6999962242457443, 1.9590159392424606, 2.204540130637469, 2.4320573331507993, 2.6372434463479686, 2.8160540021782476, 2.964816237462017, 3.080318839205674, 3.159897114108734, 3.2015112689907017, 3.2038154822956963, 3.166215503340052, 3.088912639127055, 2.9729321802718083, 2.820134577896078, 2.6332080102728628, 2.4156413673804114, 2.171677127017752, 1.9062440891936403, 1.6248704654651318, 1.3335783741429301, 1.0387613564359919, 0.7470470868871364, 0.4651479870145927, 0.1997029464771054, -0.04288620622419528, -0.2566194786067802, -0.43606045772916846, -0.57649057882079, -0.6740514264207004, -0.725870653486065, -0.730167315312007, -0.6863327622980421, -0.5949837170114192, -0.45798477070985194, -0.2784382621141648, -0.060640331942933744, 0.1899971385610815, 0.4670580212191888, 0.7632651726397979, 1.0706526949517716, 1.3807635276519634, 1.6848677428692587, 1.9741960782749064, 2.2401825273647895, 2.4747092456982163, 2.6703466505162914, 2.8205814123175452, 2.92002507746663, 2.9645963315566974, 2.951670417856293, 2.880189960013869, 2.75073239164039, 2.56553034783513, 2.3284426977594785, 2.044875358275315, 1.7216525851653308, 1.3668410437413892, 0.9895305637059423, 0.5995770302592767, 0.2073142999787957, -0.17675669782779527, -0.5422924566984952, -0.8794349724380315, -1.1791328986540675, -1.4334451078479813, -1.6358161774331637, -1.7813138723882038, -1.8668196083606878, -1.8911641354731075, -1.8552022554618268, -1.7618222321334764, -1.6158876247293221, -1.42411150248878, -1.1948653146753831, -0.9379270152744609, -0.664175293267238, -0.38523885450951406, -0.11311155839536366, 0.1402542447053369, 0.3633626690533332, 0.5455833156724024, 0.6775398975686029, 0.7514642786900704, 0.7615025322526711, 0.703960930849031, 0.5774815708682774, 0.38313955943266087, 0.12445628726057649, -0.19267380704539816, -0.5601425036203065, -0.9678694668480402, -1.404119556501797, -1.8558860617247213, -2.309327434687403, -2.750242781230307, -3.16456952847191, -3.53888542087617, -3.860896364553275, -4.119891690401703, -4.307149161032986, -4.416273498530726, -4.443454326751737, -4.38763214256714, -4.250564168702461, -4.036785586689893, -3.7534655718845062, -3.41016160792298, -3.0184795894928547, -2.5916510694724066, -2.144042510917529, -1.6906144159093828, -1.2463505866183462, -0.8256794146136827, -0.4419099042644638, -0.10670505769316248, 0.1703857408718284, 0.38231559089092815, 0.524833175496405, 0.5966665741956771, 0.599588400120313, 0.5383574943247121, 0.42053734133930454, 0.2561964181246401, 0.05750064709980506, -0.1617872152154621, -0.3868822613460964, -0.6026037212400936, -0.7940277664976987, -0.9471401023888565, -1.049461060406676, -1.0906164767837037, -1.062829352738515, -0.9613100976962626, -0.7845269667915142, -0.5343429824400392, -0.21601099931335874, 0.1619755794454418, 0.5881728382050249, 1.0486074673284134, 1.527313499110966, 2.0069639359450844, 2.4695720615461783, 2.8972337321254944, 3.2728796166078133, 3.581005323095744, 3.808347688971634, 3.944477242033149, 3.9822799166754685, 3.9183054284061685, 3.7529651101164005, 3.4905682805122566, 3.139193090814888, 2.710394988423628, 2.2187631323463854, 1.6813419735196518, 1.1169414587092432, 0.5453646353565678, -0.013414432894733767, -0.5400867961187719, -1.0168219672088474, -1.4280221197847895, -1.7609828725357017, -2.006430096349391, -2.158907334265578, -2.216994827184006, -2.1833485223261646, -2.0645554872162304, -1.8708105020373578, -1.6154268780392795, -1.3142023645612215, -0.9846679903185833, -0.6452534945371917, -0.3144073462605206, -0.009711993948400896, 0.25296422469513513, 0.46023822395392233, 0.6018691275934599, 0.6712686672624409, 0.6658391164064272, 0.5871206590987457, 0.44073888776559444, 0.23615250852919198, -0.013789128433253578, -0.29345981632352935, -0.5852142468152959, -0.870255058012613, -1.1295687180460916, -1.344885854146596, -1.4996197778209919, -1.5797372996466814, -1.5745184963760355, -1.4771668049536713, -1.2852374831239997, -1.000860805870795, -0.6307459851834123, -0.18596226120080006, 0.3184955809051085, 0.8643393852164727, 1.4307896811592584, 1.9955110886858936, 2.5356374702290263, 3.0288381889074247, 3.454374109949641, 3.794091750207203, 4.033306293175394, 4.161528972620343, 4.1730013904874195, 4.067008360551868, 3.847951440498673, 3.525176928842392, 3.1125641948353673, 2.6278921805028794, 2.092013160742891, 1.527872792383706, 0.9594236041608578, 0.4104849379394951, -0.09639438445680688, -0.5410139301995467, -0.9064857234736499, -1.1800353650922544, -1.353598810186523, -1.42418337128264, -1.3939732046973308, -1.2701723845506048, -1.0645920276622098, -0.793001123882973, -0.47427306714465095, -0.1293707226187265, 0.219778378038717, 0.5514589324624745], 'positive_zeros': ['0.092160355158070527508660555314958', '0.990242795512852736264149046519204', '2.58044692364601156839772417516775', '3.16130504692258571769513401707656', '4.39437550231944096163133226722031', '5.30332016137997398492004057829067', '5.81005970875817812941579013911799', '7.17840778314708130700105552394301', '7.63083248840639964612880429708757', '8.256462874117722207163324139719180'], 'prelabel': '2-1800-5.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.305505228291, 'root_angle': 0.42620819117478337, 'root_number': '-0.89442719099991587856366946749251049417624734384461028971 + 0.4472135954999579392818347337462552470881236719223051449*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.42620819117478337', 'prec': 64}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.092160355158070527508660555315', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '0.990242795512852736264149046519', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '2.58044692364601156839772417517', 'prec': 103}}