{'Lhash': '2428328582136670311748935776836', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -1.0], 'a4': [0, 0], 'a5': [0, -3.8284271247461903], 'a6': [0, 0], 'a7': [-3.8284271247461903, 0], 'a8': [0, 0], 'a9': [2.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.287106896341061, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [0, 1.0]]]], 'bad_primes': [2, 13], 'central_character': '1664.833', 'coefficient_field': 'CDF', 'conductor': 1664, 'conductor_radical': 26, 'conjugate': '708375990736356743107797590970', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 1.0], [-3.0, 0]], [[1.0, 0], [0, 3.8284271247461903], [-5.0, 0]], [[1.0, 0], [3.8284271247461903, 0], [7.0, 0]], [[1.0, 0], [0, 4.82842712474619], [-11.0, 0]], [[1.0, 0], [0, 1.0]], [[1.0, 0], [-6.656854249492381, 0], [17.0, 0]], [[1.0, 0], [0, 4.0], [-19.0, 0]], [[1.0, 0], [-3.1715728752538097, 0], [23.0, 0]], [[1.0, 0], [0, -3.1715728752538097], [-29.0, 0]], [[1.0, 0], [0, 0], [31.0, 0]], [[1.0, 0], [0, 3.8284271247461903], [-37.0, 0]], [[1.0, 0], [2.8284271247461903, 0], [41.0, 0]], [[1.0, 0], [0, -3.0], [-43.0, 0]], [[1.0, 0], [11.48528137423857, 0], [47.0, 0]], [[1.0, 0], [0, 3.1715728752538097], [-53.0, 0]], [[1.0, 0], [0, -5.17157287525381], [-59.0, 0]], [[1.0, 0], [0, -10.82842712474619], [-61.0, 0]], [[1.0, 0], [0, -3.65685424949238], [-67.0, 0]], [[1.0, 0], [-10.17157287525381, 0], [71.0, 0]], [[1.0, 0], [5.17157287525381, 0], [73.0, 0]], [[1.0, 0], [7.656854249492381, 0], [79.0, 0]], [[1.0, 0], [0, -6.0], [-83.0, 0]], [[1.0, 0], [-17.65685424949238, 0], [89.0, 0]], [[1.0, 0], [14.48528137423857, 0], [97.0, 0]], [[1.0, 0], [0, 0], [-101.0, 0]], [[1.0, 0], [-14.0, 0], [103.0, 0]], [[1.0, 0], [0, -15.313708498984761], [-107.0, 0]], [[1.0, 0], [0, -3.8284271247461903], [-109.0, 0]], [[1.0, 0], [3.65685424949238, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23121470, 'index': 44, 'label': '2-1664-8.5-c1-0-44', 'leading_term': '1.3195629171427923180603059840553246719722805894310489802', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1664/2/b/e/833/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.3195629171427923, 1.4809563309998166, 1.6458417167109878, 1.8139080822631886, 1.9846272985571902, 2.1571982128360214, 2.3305054638200096, 2.5030948295427162, 2.67316577416198, 2.838580919871405, 2.9968915118891033, 3.145377550369356, 3.281101067209689, 3.40097094565545, 3.5018176413163196, 3.5804761104123197, 3.6338751547947368, 3.6591312452182185, 3.653644692314057, 3.615195816898189, 3.5420385512163333, 3.43298870584474, 3.287503987936041, 3.1057527778181737, 2.8886686819046274, 2.6379879958652683, 2.356267444075823, 2.0468799157690123, 1.7139863961867994, 1.3624828881207403, 0.997921825694032, 0.6264082826385715, 0.25447215071872664, -0.11108161574735434, -0.463341656832375, -0.7954738148497964, -1.1009148801492863, -1.3735708941606197, -1.6080137949816766, -1.7996697281280685, -1.9449920881327998, -2.0416123349893356, -2.0884618657921585, -2.0858587308813075, -2.0355537701597317, -1.9407318029676734, -1.8059648162323951, -1.6371156307790924, -1.4411922429689288, -1.2261548852166342, -1.0006797613501817, -0.773885319818469, -0.5550287520365189, -0.3531820640732791, -0.17689848680261644, -0.03388108538515557, 0.06933386652475518, 0.12766592841615748, 0.1377393724008641, 0.09808008692684056, 0.0092499858231763, -0.12608978600931733, -0.303193271339849, -0.515325461505845, -0.7539400824208987, -1.0089368275212462, -1.2689920947404092, -1.521953952542942, -1.7552889054434793, -1.956565199662296, -2.1139550481378455, -2.216736393889984, -2.2557737870825894, -2.2239577154279413, -2.11658236122807, -1.93164328788541, -1.6700389720757995, -1.335663342170156, -0.9353804650187534, -0.4788771084129021, 0.021606074074868434, 0.5516587356089327, 1.095189141145392, 1.6350002820210565, 2.1534329265609715, 2.6330508643814317, 3.0573406501743685, 3.4113963027309664, 3.682558810756183, 3.860981032183488, 3.9400906837700616, 3.9169275750757007, 3.7923359521915723, 3.570998623470209, 3.2613062225971547, 2.875062250296787, 2.4270321078225425, 1.9343518456794908, 1.4158194372182868, 0.891097688299401, 0.37986307066532377, -0.09906148442575133, -0.5285497215023995, -0.8939507912729462, -1.1837649637374013, -1.3901813786445225, -1.5094484042888867, -1.5420543479440298, -1.4927048036190484, -1.37009246698627, -1.1864653571918278, -0.9570095760639835, -0.6990724960984425, -0.43126108767139576, -0.17245748686753334, 0.05920056621037981, 0.24732347995082815, 0.3782059844321187, 0.4416457413358688, 0.43159882016407153, 0.34663338431835655, 0.19015208169238276, -0.02963536905397468, -0.2999955683861194, -0.6042038926002375, -0.9223059421862706, -1.2320753465886538, -1.510124020880809, -1.733111634393625, -1.87899421363359, -1.9282479132189594, -1.8650033585279635, -1.6780287373004852, -1.3615059605930484, -0.9155535080810927, -0.34646162113361667, 0.33338025269822974, 1.1058681298655704, 1.9478682292358855, 2.832173510428469, 3.728688604359634, 4.605786532841578, 5.431770144389134, 6.176364104732388, 6.812160060239067, 7.315938526456936, 7.669796203653209, 7.862016612163748, 7.887634764404034, 7.748662421140402, 7.453958501190051, 7.01874846152589, 6.463815876426454, 5.814407918086117, 5.098912898673238, 4.347381483931414, 3.5899727875493936, 2.8554116619767846, 2.169543719193994, 1.5540698248110747, 1.0255321834133035, 0.594610135371914, 0.26576614990663294, 0.03726219600809444, -0.09845514396602215, -0.1540245094768791, -0.14613921231565982, -0.09427957440301349, -0.019286483528032902, 0.058134981040799484, 0.11888775563622865, 0.14683719837649334, 0.12996032749750785, 0.06121433214914425, -0.060934467706721014, -0.2323593032849209, -0.4435138488786321, -0.6800549885969467, -0.9238123726369096, -1.1540466433760819, -1.348918388415802, -1.4870745976113098, -1.549249743491431, -1.5197753207829936, -1.3878951375786157, -1.1487937953983736, -0.8042621475901609, -0.3629451954634483, 0.15985638457535709, 0.7428316398279005, 1.3597232085268662, 1.9807532665299556, 2.5743301441446382, 3.108933784242628, 3.555063832927132, 3.8871269011711, 4.085140065929869, 4.1361361619258625, 4.0351725094866895, 3.7858675855441732, 3.4004184684214485, 2.899083977196709, 2.3091522986578763, 1.6634453969592211, 0.9984434495276265, 0.3521388748575835, -0.23825060938831133, -0.7385684830769571, -1.1198609460964861, -1.360235095067921, -1.446310622742012, -1.374165441544009, -1.149706105498958, -0.7884294762399462, -0.3145805301277614, 0.24024992376583185, 0.8390070913177158, 1.441420903547292, 2.0064834850323057, 2.495000453996287, 2.8720541516075317, 3.1092204059456705, 3.186394378980283, 3.093104676129637, 2.8292268086465766, 2.405045299362674, 1.8406557639815744, 1.1647414330832369, 0.41279993297797024, -0.3750670831793675, -1.156659205061939, -1.8903147390888495, -2.5375079533466085, -3.06523542831756, -3.44803414047169, -3.6694979521837534, -3.723192461730075, -3.61290850303523, -3.3522392799663057, -2.963512138494364, -2.476150152681921, -1.9245779437323807, -1.3458176849808854, -0.77694279282437, -0.25256675907751486, 0.1974578651857378, 0.5499701141466576, 0.7899268624783587, 0.911226534050935, 0.916875159603195, 0.8184869129060866, 0.6351593207791147, 0.3918087874681926, 0.11709158986401205, -0.15893383649851986, -0.4072280102735817, -0.6020928278996523], 'positive_zeros': ['1.91561348347838985988382611514958', '3.23943789179362477024018036807852', '3.52035506803693140023263619047017', '4.68505225335158643445240062284625', '5.90540722223318409395320809983960', '6.72238219399123496399359574048124', '7.14133337642790199125666238086381', '7.941118030439146049134725950432393', '9.563602948454538897134971442903077', '9.857937462364912010351302590807761'], 'prelabel': '2-1664-8.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.645148405256096, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.91561348347838985988382611515', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.23943789179362477024018036808', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.52035506803693140023263619047', 'prec': 103}}