-
mf_newforms • Show schema
Hide schema
{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 44, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 10, 'char_parity': 1, 'char_values': [220, 10, [111, 177, 101], [5, 10, 7]], 'cm_discs': [], 'conrey_index': 51, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -5, 12, -15, 9, -5, 8, -5, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504767892029660, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 44, 7, 1, 10, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '220.2.r.b', 'level': 220, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '220.2.r.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\zeta_{15}^{3}-\\zeta_{15}^{6}+\\zeta_{15}^{7})q^{2}+(1+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '220.2.r', 'trace_display': [5, 5, 2, -3], 'trace_hash': 86321922198076298, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.736', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '202.946', 'prec': 24}, {'__RealLiteral__': 0, 'data': '41.243', 'prec': 20}, {'__RealLiteral__': 0, 'data': '9043.675', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.106', 'prec': 17}, 'traces': [8, 5, 5, -1, 2, 1, -3, 5, 3, -5, -1, -10, 10, 5, 5, 7, -5, -10, -11, -4, 0, 1, 0, 3, -2, 7, -10, -9, -5, -6, 10, 0, -11, -14, 8, -26, 20, -5, 3, 5, 10, 29, -34, 32, -8, -10, 0, 0, -23, -5, 9, -5, -7, -26, -9, 15, 5, 18, -5, -10, -10, -1, -23, 11, 0, -17, 0, -15, 15, 15, 90, 10, 5, 35, 5, -18, -14, 0, -21, -7, -10, -2, 19, -30, 0, -30, -18, 43, 20, -15, -10, 25, 11, 0, 11, -36, -44, 50, -6, -1, -15, 5, 10, -9, 15, -50, 15, -45, 0, 14, 0, 43, -34, 33, 5, 25, 20, -3, 5, 7, -19, -11, 22, 45, 2, 40, -37, 5, -10, -12, 14, 27, -14, -13, -5, -32, 2, -45, -8, -6, 0, 96, 3, 47, 5, 63, -85, 10, 25, -4, -9, -30, 0, -41, 0, -1, 37, 0, 25, -25, 110, -20, 5, 15, -24, 5, 4, -23, 0, 4, -1, -27, -5, 5, 22, 46, -32, -25, 30, -9, -56, -37, 41, -10, 15, -50, -51, -15, 5, 20, -35, -5, 25, -25, 2, 11, 0, -19, 0, -5, -17, 2, 10, 42, 10, 6, 60, 10, -28, 26, 2, -91, 9, -60, -6, -53, 20, 17, -58, 38, 8, 20, -20, -70, 3, -40, 19, 25, -25, -10, 26, -21, 40, -18, 0, -35, -45, -36, -36, -10, 0, 21, 0, -60, -12, 10, -10, 117, 10, 0, -15, -4, 10, -35, -4, -17, -12, 12, -35, -5, -15, 60, -78, 4, -18, 25, 35, -30, -20, -9, 21, -40, 17, 40, -1, 50, 80, -15, 100, 5, 15, 0, 17, -15, 0, -24, 0, 5, 15, 12, -55, 95, 25, 69, -30, -20, -24, -3, -25, 5, 4, -30, -17, -14, 40, -49, 38, 48, 24, -4, -20, 0, -15, 55, 23, 12, -63, 16, 52, -11, 60, -90, 40, 70, -10, -25, 33, 74, 0, -8, 0, -23, 50, 30, -30, 110, 50, 35, 40, 25, -59, 25, -71, -65, -15, 24, -4, 26, -25, 5, 12, 64, -2, 55, 15, -85, 41, 13, -44, 20, 45, 5, -21, -15, 0, 85, 115, -120, -35, -5, -38, -17, 0, -57, 0, -15, -26, -4, 50, 13, -55, 9, 45, 22, -1, 37, -14, 43, 60, -10, -30, -140, -40, 17, -24, 57, 56, 74, -65, -28, -11, -35, 12, 25, -10, -18, 0, 30, -40, 27, -35, 25, -145, -25, -4, 53, 0, -77, 0, -30, -61, -20, 45, -5, 0, 75, -25, -75, -1, 15, 21, -35, -31, -69, -7, 100, 20, -40, 44, 7, -118, -5, 5, 20, -10, -92, 23, -121, 7, 0, -53, -27, 30, 0, -10, 9, -20, 5, 61, 15, 0, -123, 0, -40, -6, 65, 0, -40, 15, -15, -55, -89, -32, -57, 9, 55, 3, 15, -13, -39, 40, 29, 210, 13, -36, -68, 135, -53, 30, 30, -85, -19, 7, -14, -19, 90, -240, 18, -135, 1, 60, 16, -52, -80, 0, 85, 0, -16, 35, 0, 40, 95, 45, 15, 20, 55, 30, -85, -34, 19, 23, 13, 27, 87, 25, 45, -124, -34, -46, -25, -125, 58, -16, -5, -15, -44, 47, 5, 151, 5, 120, 75, -120, -11, 50, -10, 73, 1, 0, 16, 0, 100, 51, 40, 10, -139, -45, 24, -25, -3, 7, 1, -1, -15, 34, 20, 75, 93, 30, 17, -54, -21, -14, 122, -30, 6, 83, -15, 48, -20, 16, -73, -31, 14, -20, 69, -15, 80, -60, 23, 18, 15, 0, -58, 0, -90, 1, 45, -25, 18, 15, -30, -55, 123, 19, 20, 9, -45, -7, 36, 15, -15, -60, 25, -2, 57, 154, -40, 45, 55, -20, -22, -45, -18, -2, -15, 67, -39, 30, 45, 110, -30, 100, -80, -53, -75, 0, 49, 0, 0, -86, -45, -35, -145, -10, 33, -10, 85, -22, -3, 109, -85, 28, -15, 6, 45, -25, -30, -22, 28, 0, -92, 5, -65, -26, -25, -20, -33, 52, -52, -129, -24, -125, -18, -5, -30, -10, 12, 89, 22, 0, -18, 0, 12, 3, 25, -100, -61, 45, -50, 55, 110, 131, -65, -7, -35, -83, -53, -25, -19, 90, -5, -30, -17, 0, -25, 60, 94, -17, -36, 39, 5, -75, -95, -28, -5, -15, -80, 30, -2, 100, 115, -19, -3, 0, 42, 0, 79, 33, -8, 90, 13, 10, 24, -30, 15, 83, 3, 63, -10, 14, 100, -38, 110, -5, 60, -136, -88, 150, -6, -90, 15, -31, 25, 9, 35, 8, -1, -60, 25, -75, -24, 95, 55, -15, -64, 76, -95, 0, -34, 0, -15, -9, 5, -10, -70, -5, 130, -65, -9, -6, 90, -22, -2, -37, 18, 130, 55, -195, -45, 194, 33, -18, 50, 0, 90, 113, -13, 0, -25, 105, 20, 187, -61, 10, 5, -70, -9, 30, 25, -164, 15, 0, -90, 0, -14, 88, 15, -55, 40, -225, -6, -10, 63, -6, -67, -59, -5, -62, -10, 40, 55, 145, 54, 86, -89, 4, 28, -5, 23, -47, -70, -41, -124, 35, 45, -31, 97, -20, 21, -40, -168, 55, 131, 11, -90, 0, 1, 0, 17, -57, -120, -90, -9, -5, -50, 15, -185, 162, 25, 11, 86, 21, -25, 8, -19, -250, 130, 16, -16, -172, 5, -55, -56, -53, 8, -149, 0, -103, -65, -65, -120, -15, 50, 30, 85, -30, 15, -22, 4, 0, 44, 0, -105, -59, -153, -140, 77, -185, 12, 20, 85, 42, -84, 44, 85, -14, 55, 50, -10, 110, -4, 168, 13, -10, 6, 75, -8, 59, -60, 26, 30, -18, 57, 1, 21, 35, 3, 5, -15, 35, 39, 70, 75, 0, -78, 0, -45, -61, 10, -65, 162, -105, 65, 30, -108, 31, -140, 13, 0, -88, 90, -30, 50, 60, -95, -126, 58, -38, -5, -35, 80, -47, 148, -2, -50, -139, 0, -55, -71, 165, -185, 50, 45, 35, 40, 0, -30, 0, -6, 0, 121, 2, 84, 75, -5, -245, 36, 55, -5], 'weight': 2, 'weight_parity': 1}
-
mf_hecke_cc • Show schema
Hide schema
{'an_normalized': [[1.0, 0.0], [-0.3381014108869518, -0.9411096832762122], [1.32049509466702, 0.429054865036251], [-0.7713748719125052, 0.6363810234301194], [0.36180339887498947, -0.2628655560595668], [-0.04267356643383423, -1.3877947755265383], [0.5788826183275037, 1.7816175043834637], [0.8597072759196712, 0.5107870395094009], [0.7506022234534391, 0.5453444369543065], [-0.36971155983077286, -0.2516214667461758], [-0.8022564808393003, -0.5969795130080607], [-1.291639108629305, 0.5093758782178753], [0.1238557214205315, -0.1704727757101338], [1.4809764552752154, -1.1471594294812404], [0.5905433591260953, -0.191879168859611], [0.19003838603606757, -0.9817766608719147], [-0.377870562278721, -0.5200942101987082], [0.2594492595740208, -0.8907807443342881], [-0.16768209937158896, 0.5160724367149242], [-0.11180339887498948, 0.4330127018922193], [0.0, 2.6009895787896005], [-0.29057915234443527, 0.9568509582075934], [0.0, -1.720632418252972], [0.9160835764024999, 1.0433533693320507], [0.061803398874989486, -0.1902113032590307], [-0.20230937411448377, -0.05892473277261205], [-0.058926980161003846, -0.08110603012156922], [-1.5803230763653175, -1.0059050611437075], [-0.5229939870587098, 0.16993104740675252], [-0.3802428867432241, -0.4908914559567799], [0.7238154980693954, -0.9962465652995534], [-0.9882117688026185, 0.15309310892394862], [-0.8032387832300418, -1.1325205646548144], [-0.3617071271948167, 0.5314622314478494], [0.6777675748357609, 0.49242696722123636], [-0.926042544884542, 0.05700401594639738], [0.019641937106864255, 0.06045166647202784], [0.5423743218423857, -0.016677571542496588], [0.23669304635692337, -0.17196756426144916], [0.44531333363395403, -0.04118294413728503], [0.39703454969123375, 0.1290043452796444], [2.4478164786994094, -0.8793982462910224], [-0.6221716948215192, 0.0], [0.9987469236032764, -0.050045804948977334], [0.41492270431256373, 0.0], [-1.6193038301768377, 0.5817482482291576], [0.19004797702221798, 0.06175033096373743], [0.6721808092852053, -1.2148943706675177], [-2.030038851748907, 1.4749095592987511], [-0.19990551572290496, 0.006146932857889368], [-0.27582727274517743, -0.848909056431781], [0.012946448226994749, 0.2103178462832473], [0.6196342127251907, 0.45019060735197164], [-0.05640637518775812, 0.08287881485128813], [-0.44718447318018, -0.005103620926838505], [-0.4123575317225715, 1.8273552702632665], [-0.442846779367302, 0.6095263006600412], [0.33674875911370583, 0.4347407786344653], [-1.5797772780298767, 0.5133007532931151], [-0.3334220461508724, 0.5238213565622856], [0.5148987250989843, 0.7086972960998988], [-1.1823003306531814, -0.34435740481944377], [-0.5370846143607637, 1.6529764756882421], [0.4781932005384435, 0.8782546686234011], [0.0, -0.09423503274994698], [-0.7942499040168939, 1.1388425976490748], [0.0, -0.008497074117800082], [0.6224579423435883, 0.16071794962741692], [0.7382457099905271, -2.272086668028102], [0.23427361385284506, -0.8043438800648522], [1.0952302470494695, 1.5074551107920666], [0.3667433223595932, 0.8522344678988897], [-0.3674412631932749, 0.11938890362019428], [0.05025068203862577, -0.03892401093423235], [0.16322217009634568, -0.2246560439406808], [-0.19907294751593962, -0.5047950157775518], [0.5991768179350138, -1.7748952528463584], [-0.2418665928562806, -0.16461164178705745], [-0.10667109885354113, -0.07750108982616154], [-0.189318733901834, -0.40516467885763013], [-0.32971838876668064, -1.014768857011163], [-0.012830702894090407, -0.4172696104592258], [-0.19680853689688863, 0.14298977193010182], [-1.6552204100812011, -2.006338003184589], [-0.2734297075344893, -0.08884269751315868], [0.21035712783308164, 0.5855318066569041], [-0.7635207370619461, 0.0], [-0.38477633563410557, -0.9230098436831484], [0.9571322170259479, 0.0], [-0.1402859517371073, -0.39048777483970637], [0.37541520553676966, 0.1219797945442213], [1.0949778192748676, 1.3272526112383904], [1.383239250262031, -1.004982141721616], [-0.0061416547519386805, -0.1997338654842403], [0.07498971456094954, 0.23079460996170575], [-1.3706141363834219, -0.22183836772944443], [-1.1797727610579622, -0.8571550842909165], [2.0744106681443384, 1.4118202178782597], [-0.2766160419032732, -0.8856002586562532], [0.0733732749450063, 0.1860547299152712], [-0.4196494858051955, 0.5775979651972954], [-0.7056589431525772, 0.5466010669864515], [0.8618266227006128, -0.2800244444533147], [0.19355494929144015, -0.08329278835352986], [0.6837105719336667, 0.9410468700445046], [0.21417953834272704, -0.7353538371986648], [0.3072354045449287, -0.945573346605306], [0.09706913022900339, 0.025063141653851272], [0.0, -1.001184138302906], [0.14639063423493828, 0.4225751793566353], [0.0, 0.0882535977151957], [1.8591604028958424, -0.22975772899172758], [0.10588075538432931, -0.3258674577500304], [0.7233582246735202, 0.21068569004438795], [-0.45229499739818463, -0.6225306571384178], [0.29528352591716134, -0.46390398865956195], [0.1859327597713614, -0.06041321582465668], [1.0171972359461743, 1.3131959848759165], [0.7078662483377189, -0.9742943063237943], [0.6057038151920727, 0.13668197654392839], [0.2872309220973172, 0.9578613664780122], [0.4928739024514245, -0.7241877318003742], [0.46893223332755557, 0.340699210265002], [0.0756593217025051, 1.2291020141371998], [-0.027639320225002102, -0.08506508083520399], [1.7372212333790398, -0.053418147279550895], [-0.48037448008591965, 0.34901248915088495], [0.6648561772454289, -0.746971394083197], [-0.8215746710524823, -0.26694579255102246], [-0.0886855018248261, 0.031860997527735184], [-0.98362286783788, 0.0], [1.3403128095199175, 0.36243198656818765], [-1.0165119395120144, 0.0], [-0.007996678731777337, 0.0028728727476392095], [-0.04263996341538053, -0.013854563960307683], [-0.05920068985349551, -0.6401401624956249], [-0.12572263363895425, 0.09134284007153765], [-2.3878846806530682, 0.07342552180852704], [0.20275415916638162, 0.6240131377601837], [-0.8361840535902246, 0.051472634155187005], [0.22446314149163918, 0.16308201826336055], [1.0483817100971389, -1.5404044907227978], [-0.2011328098232164, 0.06282356086322838], [0.6780496754382487, -0.6332873679526078], [-0.14455198284066284, 0.19895873575014766], [0.23659046277642531, 0.30543697406820036], [-3.3134734676235036, 1.0766127925760236], [-0.053621590097446215, -0.034131140443541645], [0.29206358049889175, 0.40199103182675183], [-0.26661162435670543, -0.07765343938240271], [0.5115890310848478, -1.574509138769275], [-0.4077606329932591, 0.35802138562867936], [0.0, -0.596453479607907], [-1.8729536367692714, 0.036203483810637344], [0.0, -0.5507115568274564], [-0.07314217377466656, 0.28327842093469247], [-0.3192686819477401, 0.9826079663662017], [-0.03687137707661639, 0.12659243187228322], [0.625067468113487, 0.8603315621860953], [-0.3172954715548711, 0.315156443263932], [3.065508834969144, -0.9960441994574648], [-0.8435305451829525, 0.6533959507021675], [0.3220102531891211, -0.4432090906958513], [-0.3883583921889072, 0.1531545427533816], [-0.5883151698577224, -0.19860598018555933], [0.2011103029723107, 0.13687337619311474], [0.8648603901320642, 0.6283578542182526], [-1.3285517667447435, 2.23608966547666], [0.29529626684523014, 0.9088284590588754], [0.008836246977804326, 0.28736518683229223], [-0.40729978904959246, 0.2959206183921411], [0.47992761140053564, -0.39593825989977033], [-1.0691541216536653, -0.3473892324338687], [0.2581474384420893, 0.7185567590311883], [0.3746607007801735, 0.0], [-0.7385600796956716, 0.674187665772612], [-2.3063223317320527, 0.0], [-0.3236077529818291, -0.9007663976187487], [0.6413914544030261, 0.20840071653101325], [-0.3200609478926941, 0.26404893521482214], [-0.9784656410523066, 0.7108969004165289], [-0.012132044850787274, -0.3945484258148852], [0.37585121801381305, 1.1567511061083795], [0.8788767390033367, -1.479240209155339], [0.022997180527649333, 0.016708429677554006], [-1.4134735672016816, -0.9619939726770563], [-0.0073364808162424385, 0.6428299350281439], [-0.18589497274859595, 0.07331027248051514], [0.11038811840990541, -0.15193621041422492], [0.19184891398785103, -0.14860552977258523], [0.16157995571750677, -0.05250051012905875], [0.2546323373004665, 1.364902100903885], [0.3000862158395621, 0.4130332420641835], [-0.40779411485592776, 1.4001009128448443], [0.040431999258215195, -0.12443689849209096], [0.6273165044318167, -2.4295863744654778], [0.0, 0.04799277043884056], [-0.7399227048918573, 0.5597487325182376], [0.0, 0.051966533813229125], [0.15029030016229925, -0.13195766623097727], [0.0036457109888157362, -0.011220344691577106], [0.6854671213165319, 0.1996495077145148], [-0.605504257196173, -0.8334051123731399], [0.7529958413149408, 0.47929587255091605], [0.17755924850512336, -0.05769249708762781], [-0.5549185133040702, -0.7163967201762809], [0.9383373173374937, -1.2915105188867486], [-0.1438288511061714, -0.15399502776517388], [0.4426087228885555, -0.3139196789140572], [0.6544648128065572, -0.9616159142778881], [1.0539340912798003, 0.7657279390294589], [-0.7644630209187747, 0.04705773236403317], [0.799465219650676, 2.460500945063083], [-0.9937649564892115, 0.030557468321833876], [-0.22510383387023833, 0.16354750852378175], [-0.009232044580232494, -0.09982658196014142], [2.1939345301280255, 0.712852541084082], [-0.9422240872994154, 0.33850176971784957], [-0.5364287755545615, 0.0], [0.34819471322924334, -0.2806429077657317], [-0.13546333473795644, 0.0], [0.08305631539373408, -0.02983866590335713], [1.1855999641552635, 0.38522478020707285], [-0.8448119788459046, -1.6719924455946964], [0.15012044469068783, -0.10906888739086129], [-0.3424754527343736, 0.010530843062637163], [-0.3588472357155506, -1.1044182297225977], [-0.04629009331029367, -0.7519925587754384], [-0.7623060005882178, -0.55384772878102], [-0.43294805281183224, 0.636137695247701], [1.5527374920848567, -2.086660746179439], [-0.536420312562238, -0.12104759247070054], [-0.02390448509262727, 0.03290170109966486], [-0.11971959081924206, -0.15455732715256362], [0.0849920391215995, -0.0276155875336054], [0.8919456367824583, -1.4012875838083703], [-0.10760644314331574, -0.14810756286866908], [-1.1562483833244392, -0.3367695011878325], [-0.4546719483694327, 1.3993363703119999], [-0.07615658284122617, -0.6162460947869244], [0.0, -0.013936705633259478], [0.8043394272171789, -0.5941700815624602], [0.0, -1.3812120100809526], [-0.8481814487153532, -0.2189995083624429], [-0.3467720349683987, 1.067254583175002], [0.16208867616653586, -0.5565075492635702], [0.0672079133673081, 0.09250375687135577], [1.1311392838244478, -0.486764845388119], [-0.3212351648579688, 0.1043756321849788], [-0.07071067811865475, 0.05477225575051661], [-0.640609283836801, 0.8817230363589593], [-0.6376292856956841, -1.616854973763876], [-1.027182303114541, 1.3803885086856444], [0.4908743225953672, 0.3340834598085538], [-0.32294419594456625, -0.2346326925262238], [-0.9277708236656131, -0.37315050415995665], [0.1613942416134653, 0.49672040040864734], [0.026550285152217336, 0.8634466275537961], [-0.09633137117427001, 0.06998883793917689], [0.05996938658438208, 0.07269053631716108], [-0.4852314009081377, -0.1576612393857397], [0.33256427939665695, 0.9256970056141468], [-1.6114989697855826, 0.0], [-0.1120733998401829, -1.383920129667605], [0.3425253685575724, 0.0], [0.3436841209324438, 0.95664922944064], [1.2638883975305337, 0.41066223419791575], [0.005407376723247196, 0.006554429459249102], [-0.819831592781415, 0.5956425179580709], [0.0013779674902929782, 0.0448131300869616], [0.5106746194900406, 1.5716948692577344], [-0.582426268813693, 0.2721466345829298], [0.44339791308939497, 0.3221474406882703], [0.12847063110302828, 0.08743564482199943], [-0.16313442847356135, 0.11570288780581277], [0.8764486491377541, 2.2224361229909544], [0.5732399490863601, -0.7889971020142821], [0.5187133391603307, -0.4017936248047201], [1.0865950444418933, -0.3530561317682413], [0.33115640270720587, 0.769537939604979], [-0.9106385639450046, -1.253386455497737], [0.07758676172543602, -0.266382696461514], [-0.023785972528840845, 0.0732056960677163], [-1.8041489177133054, -0.4658292474921178], [0.0, 0.33693785219007577], [0.12712714824316312, 0.16804730038438204], [0.0, 0.782042076746014], [-0.8252424261938165, -0.4240037626955679], [0.18130516872956612, -0.5579999330037673], [0.23611522213179162, 0.06877104152271554], [-1.19011758479323, -1.6380563269442205], [0.20745812465906244, -0.32592624735919395], [0.6945229744568858, -0.2256641938873059], [2.1335007785723272, 2.7543376615103936], [-0.4366397007164994, 0.6009829898261339], [-0.013991611506729033, 0.06200358441251662], [-0.0011440866335372865, 0.10024603821972815], [0.27957054400698206, -0.4107775987643549], [-0.29332098431642406, -0.21311016946227554], [0.017061362611382556, 0.2771655187715103], [-0.36016437974754156, -1.108471982225945], [-1.6547547701067298, 0.05088237026044583], [-0.8019663044882367, 0.5826626262380005], [0.47480183815429455, 0.262699944560036], [0.37258421763442273, 0.12105995081495169], [-0.5613281452827921, 0.20166176298386507], [1.1141962360772104, 0.0], [0.6673197163000625, 1.7504143549355595], [1.258183677951372, 0.0], [-0.5182799788224374, 0.18619635435511275], [-0.32772569466245943, -0.10648453315744454], [0.2913255371533873, -0.026942025796637216], [-0.4152342210108774, 0.30168532064757964], [1.0326870638301275, -0.031754291629319836], [0.24019154147598548, 0.7392335529693876], [0.13160362807543877, -0.008101069821097038], [-1.1507101400381388, -0.8360398541447122], [0.5983301711327804, -0.8791363619482419], [0.5210206694836679, 0.175888411622575], [0.4038748271033192, 0.1920550026223322], [0.8114056892192316, -1.1168041208088022], [-1.9738397032700066, -2.5482160996159084], [0.33176841555219, -0.10779809280089021], [0.9001161236718723, 0.5729406714107149], [-0.0247711442841063, -0.034094555142026764], [-0.525980487893217, -0.15319734850831634], [0.4295629253359886, -1.3220587434874147], [0.2754397435518058, 0.3137060764818972], [0.0, 0.37433899580632807], [0.012000177865899186, 0.6208180652827158], [0.0, 0.5964895603040348], [0.06081718253920747, -0.23554393513760702], [-0.018223698349792625, 0.0560867763976046], [0.2989431430435696, -1.026377164888417], [-0.002233588112854872, -0.003074270296312773], [2.5535908636267015, 0.49428786164980687], [0.6308590744181449, -0.20497853882571612], [0.7554671788072842, -0.5851823604253825], [0.27963003620929106, -0.38487772625916783], [0.26745461239420687, -0.10547445270242231], [-1.1754244636465792, 0.3671422399803053], [0.41620239278155385, 0.2832625968820079], [-2.287344523758184, -1.6618530727104892], [-0.5348855329093333, -0.3177972380644302], [-0.33015351832728285, -1.0161080480963667], [0.03455114647729927, 1.1236440864157642], [0.23866921266389482, -0.17340333312587522], [0.5889607107537003, -0.48589010806160043], [0.36336816746518347, 0.11806547459349524], [-0.12667331153767072, -0.3525968134472728], [-0.021124813720628105, 0.0], [0.8841927455738778, 0.46712224168254685], [0.9647702240491548, 0.0], [0.7797708343186914, 2.1705022791492072], [0.792516051866385, 0.25750407483212806], [-0.7383077413117226, 0.6091007798289119], [1.3527596207156478, -0.98283739461832], [-0.02072742333545958, -0.6740802847982884], [-0.09273241215747854, -0.28540101825962205], [0.3567120678417774, 0.21193713976104894], [0.5708035208877315, 0.4147130330601332], [0.9998525705372311, 0.680488244521403], [-0.031688055651470155, 1.3880890603199663], [-0.36721148257477976, 0.14481496431825572], [-0.10155826737278205, 0.1397829630862747], [0.9615538400050156, -0.7448164017642434], [0.8230336846829424, -0.2674198548166312], [-1.6892767501803705, -0.3269862077261308], [0.22766321374488838, 0.31335153135482874], [0.007949085779065543, -0.02729201293030837], [-0.44337199089963564, 1.3645586772364249], [-0.4274444356174285, 1.655485180575329], [0.0, 0.5630876211269418], [0.6074539510697212, -0.21043727485604707], [0.0, -0.1241868067791724], [0.13184435987812218, 0.1501612523679022], [-0.035807180234997175, 0.11020316912191792], [-0.18031101744066408, -0.052517480048336874], [-0.2547838736178773, -0.3506799172752587], [-0.20471849155379332, -0.1303071313982778], [-0.7840776509852759, 0.2547622721811466], [-0.10403914945853829, -0.13431396440216772], [0.5320233672368049, -0.732267343932934], [1.198431031385962, -0.7011122843468919], [-0.24977461833095468, -0.7996660825513855], [0.2872500106584886, -0.42206116542943967], [-0.46700345750282685, -0.33929787260134797], [1.4555242922263318, -0.08959710374298548], [0.2941394437703841, 0.9052681237259973], [-0.13077888612194866, 0.004021344930449406], [-0.8948909586135728, 0.650176339360246], [-2.4986038585864745, 0.23107294427872427], [-1.298869171982227, -0.42202817680675175], [0.0451664609872452, -0.016226423397745583], [-0.058966333199317565, 0.0], [0.7769538628457264, 0.507096586243055], [1.2109057101654936, 0.0], [0.048906208177930635, -0.017569958401157253], [-1.3422990297960733, -0.43613939301506505], [-0.175, -0.09682458365518543], [0.509925408793038, -0.3704824955986609], [-0.011792195067944725, 0.00036260045685915525], [-0.08018422658955565, -0.24678167411580565], [-0.04386531586227804, -0.7126015256796211], [-0.3860410135975406, -0.2804752139329091], [-0.57960377769018, 0.8516213640460457], [0.02033053507077711, -0.06022357525331096], [0.1964810304713997, -0.8707022884699662], [-0.16138117892581316, 0.22212213697781283], [-0.11432800009716029, -0.14759681346050058], [-0.2052072109277794, 0.06667586463945602], [-0.4865891581498211, 0.7644539281460854], [-1.8290112141604633, -2.517417967509491], [-1.5327062262570885, -0.4464168069147905], [-0.03361891166767123, 0.10346837097734081], [-0.09629747432094843, 0.18742466066749106], [0.0, 0.9109989458167684], [-0.4450794832764711, -0.31040666866691563], [0.0, -1.220074078066041], [-1.1262615251051904, -0.2907994753471046], [0.188402562451709, -0.5798434648192573], [0.36429737493220293, -1.2507612753797532], [0.10897523464454346, 0.1499915427438535], [0.3027525135443511, 0.7035332657878244], [-0.1222814826230009, 0.039731662188774865], [2.0453009463901988, -1.5842833006703019], [-0.9645615858820167, 1.3276051279890109], [0.3647512632130966, 0.9249103002998152], [-0.29254964317542104, -0.003338806623654015], [0.23002406777501944, 0.15655175441894473], [0.9710820023121404, 0.7055323728603702], [-0.09082639563310771, 0.04243987475564022], [0.2314677663794476, 0.7123845339727535], [-0.07089993086760343, -2.3057494806724086], [-0.27624439778054927, 0.2007033031107988], [0.6371345865752055, 0.772288286444236], [0.8879709647785039, 0.28851925613947227], [0.18136732585535723, 0.5048383150623997], [-1.1435439113119605, 0.0], [-0.3818408818473078, -0.2328036532146142], [-2.3280853989938977, 0.0], [0.0458003445983545, 0.1274858560507777], [0.5439374969321871, 0.17673600627289363], [-0.05616291483538629, -0.06807660763337683], [0.346293689292742, -0.2515970924510518], [-0.03831424973758725, -1.2460246484550759], [0.2131923174734626, 0.656138485740316], [-1.2878961589318463, 1.3603637386875114], [0.10488920714410543, 0.07620646971895632], [-0.1534017202206005, -0.1044034594454171], [-0.24151058938593964, -0.34051606417907293], [0.12570211214294924, 0.318746471955417], [1.3511016120659902, -1.8596318315670861], [-0.9180519336903987, 0.711119970027286], [0.1678907838734545, -0.05455102249646736], [-0.6920567329569223, 0.2978138001525415], [-0.6917255475960729, -0.9520785376392569], [-0.26349472628988924, 0.9046702572905304], [-0.019916005551604617, 0.061295162412464486], [0.7450556923910626, 0.19237255257517477], [0.0, -0.7350383870436225], [-2.4887593707527937, -0.7557933470613918], [0.0, 0.5080929602241097], [0.0674454030942633, 0.5457567122571871], [0.23628547268850802, -0.7272119093670941], [0.03904624963749759, 0.011372630832025924], [-0.38813814483517484, -0.5342263251963565], [-0.10497803463777278, 0.16492531657105258], [0.015138535984316305, -0.004918808513434975], [-0.054725225178409685, -0.07064996191114384], [-0.8431854567855915, 1.1605452183239162], [-1.620333392407394, -0.36564136658796115], [0.4991412743653351, 0.3714237553819503], [-0.10300357133486324, 0.15134484159401054], [0.08779948709195146, 0.06379006130936046], [0.07399217113778092, 1.2020187933143966], [0.21958987451087122, 0.6758281417124882], [1.4706542354956351, -0.04522142778337803], [1.0256863949921624, -0.7452047863583108], [-0.5542065189781775, 0.28002537165813834], [0.012738129670257198, 0.00413886922303534], [-0.013115968624430633, 0.0047120198377211585], [4.475346988803529, 0.0], [-0.8311275124455789, -0.5560818807118463], [-0.6521623427123182, 0.0], [-1.2998719973445858, 0.46698972934237276], [0.8200641642907894, 0.2664549991528555], [0.08066878654617485, 0.8722758173221556], [0.6153739763600675, -0.4470953644533546], [1.121647737025867, -0.0344897603488765], [-0.30022311932159573, -0.9239917518154769], [-0.5785370535289636, 0.03561276488550381], [0.28600418584751897, 0.2077942042057715], [0.06433309099880649, -0.0945256687733114], [-0.33287442858212296, -0.2477003539565019], [-0.8405388972439092, -0.8999502521454157], [-2.0516986593759836, 2.8239209410200488], [0.20683898061234166, 0.267027975752706], [-1.651650534300562, 0.5366537898878561], [0.07545408029838267, 0.04802792694178274], [0.8724439084051153, 1.2008160221540092], [1.0463889901776227, 0.30477179761096174], [-0.1975092359499652, 0.6078709239232706], [-1.3060545111459396, 1.1467400429378547], [0.0, 0.31928830242795336], [1.6463887781284048, 0.49997990959230443], [0.0, 1.3268018219980207], [0.14844387801057893, -0.5749206673814176], [-0.025021808447540282, 0.07700920792934741], [-0.1116272106629893, 0.3832555543446024], [-0.4254107210377768, -0.5855276252110019], [-0.037494928323242575, 0.9992968179425145], [0.051737586340137365, -0.016810560837461196], [0.41290075790687325, -0.3198315518019481], [0.23820302003254304, -0.327858330174425], [0.8036212933136511, -0.3169192534520152], [-0.11560353872965426, -0.1629943519805209], [0.09843694561250424, 0.06699506136180657], [-1.262763732849731, -0.9174515547381297], [0.04813403339641685, -0.08101454330165792], [0.1376593347888007, 0.42367186841798865], [0.015680902190444934, 0.5099614575028343], [0.44313306673648156, -0.3219550185494916], [0.7587419636886557, -0.6259589273039392], [0.4947376175447272, 0.16074999640762455], [0.5448500753273747, 1.516597285054852], [-0.7916506397841819, 0.0], [-1.264528460302191, 0.5733787102227533], [-1.9605759187430705, 0.0], [-0.11580831037388838, -0.3223539411172848], [-1.4657100477433025, -0.47623806347827247], [0.7841117671386122, -0.6468889083955913], [0.0711667293993731, -0.05170565548769397], [-0.04084424524921983, -1.3283030902767432], [-0.13739984993142168, -0.42287325614428684], [0.0043401953331230585, -0.007304996443101453], [0.7575389279958697, 0.5503842478085903], [0.837751159630459, 0.5701638749164698], [2.509102615612234, 0.02863585250524613], [0.04170817791013172, -0.016448201057016765], [0.4844491169255897, -0.6667870059246073], [1.3064774512602544, -1.0119930821852956], [-1.597072852972695, 0.5189204262497091], [0.4530389763005608, 0.45611384025437635], [-0.2631768252330116, -0.3622318241377189], [0.153262615874526, -0.5262045737632188], [0.3314266187172017, -1.0200262482075915], [0.0388504303720123, -0.15046706982379446], [0.0, 0.8127469215356201], [0.1640450885282192, 0.11440808070135924], [0.0, -0.2983971760662191], [1.7952276309661928, -1.5762430993872647], [0.07632725323887468, -0.23491113073109113], [-0.9363460483453732, -0.2727206335491914], [0.02319883103766223, 0.03193045161630381], [-0.5535095827983612, -0.35231915489646687], [-0.19194280247682516, 0.062365997074862775], [-0.6996438619357084, -0.90323634185108], [-0.07705952410955402, 0.10606333578450267], [0.6122551596311169, -0.5718363603781496], [-0.28549709794472916, 0.8457060231233293], [-0.8716859468782959, 1.2807824994837687], [-1.1580628865176417, -0.8413819371597128], [-0.2769275287026785, 0.017046712755656477], [-0.04735131330967744, -0.14573235743682172], [0.07693666031162251, -0.002365740052422166], [1.6170617143543062, -1.1748641058876605], [0.17158887896093236, 1.8553995423417822], [-0.7025492845918294, -0.22827210013822286], [0.31709547535836946, -0.11391916320668384], [-1.8302018216668616, 0.0], [0.11516907345712014, -0.1764576195746343], [0.23589113820923963, 0.0], [0.7359873711551125, -0.26440952952078917], [-0.32728373470563543, -0.10634093166252617], [-0.12001841819844762, 0.9199999087301034], [1.1003328878074228, -0.7994386379550441], [-0.5864386735658862, 0.01803251470397607], [0.21904845406399684, 0.6741618209164528], [-0.015109796628626701, -0.2454619080841382], [-0.36868212176654463, -0.2678632407786456], [-1.1392102364991084, 1.6738603385383461], [-0.2283509933707588, -0.7310772629169174], [-0.37687423207080556, -0.08504472591373409], [0.05139055087639046, -0.07073302510931785], [-0.44719395559333974, -0.577324914179208], [-0.40592920890828627, 0.13189439525054433], [1.870794220896076, -2.9391036914074866], [0.39276449024904586, 0.5405939433818633], [0.7132194100711687, 0.2077326536678504], [-0.020591531643352513, 0.06337421794396932], [0.0630827572794606, -0.007795858296298514], [0.0, -0.09989978152630008], [0.09472933458363929, -0.032816615948588555], [0.0, -0.5385766465175928], [-0.4811099712412783, -0.12422206042078668], [-0.022296494151636797, 0.06862155298721688], [-0.10138780544544963, 0.3481000676178494], [0.9423582586053736, 1.297044869751135], [0.25507468281558077, -0.1097666665093204], [-1.4423479283111948, 0.4686472507290352], [-0.9214216311693465, 0.7137301264708305], [0.004633832100530697, -0.006377922725669412], [0.6073608138051501, 1.540102336420617], [0.35570988460402586, 0.27105438198817333], [0.8194953786669983, 0.5577391988129543], [-0.8743343662648905, -0.6352411007880586], [0.08669829024988888, -0.5356598294200238], [-0.4419888834177648, -1.3603019101093272], [-0.012040557687516404, -0.3915731552240871], [0.03406527961900715, -0.024749874371602948], [0.3795716757813357, 0.46008922643431727], [0.36334474747065354, 0.1180578649759868], [-0.376711319422636, -1.0485808668421712], [0.25921936321531425, 0.0], [1.4217101615818084, -1.2198386098916099], [0.15766053717428757, 0.0], [-0.42539367667029304, -1.1840888426601155], [0.03488264968704832, 0.011334059940114626], [0.3504623841486511, 0.4248050566085156], [-0.13955366474297404, 0.10139167237477295], [0.010590894475665956, 0.34442839560343425], [0.5540672038775891, 1.705243511862781], [-0.12385297650325214, -0.26506014706670106], [-0.032360679774997896, -0.023511410091698926], [0.4243102525360482, 0.2887807136661625], [0.719151412899866, -0.22462597026264186], [-0.37903722462359946, -0.9611356247630242], [0.02401845191015098, -0.03305856296683813], [0.614490755846027, -0.4759824927580141], [1.774221897554903, -0.5764796400033096], [-0.05211936758367862, -0.12111446559987], [1.0631755001025485, 1.463335536629046], [-0.3977484804716042, 1.3656107096780672], [-0.08205775759551077, 0.25254780964922113], [-1.0296600181859359, -0.26585707351265037], [0.0, 0.5287423453540341], [-0.01062753609961468, -0.5498057173663923], [0.0, 1.7287768803292944], [0.04419417382415922, -0.4450245779729475], [-0.02119749776552941, 0.06523918990227909], [-1.3253725807426622, -0.38602870225981], [0.8533784764659945, 1.1745747063270295], [-1.730792857888601, 2.7191551165074324], [-0.3674193626130758, 0.11938178769032864], [-0.21362119835954949, -0.2757837812144688], [0.35736147034026355, -0.4918658668493343], [0.23486948243184436, -1.040820049419128], [1.5738165933097323, 0.5312958141503791], [-0.02371155715941557, 0.03483978094868686], [2.5912269342490712, 1.8826365674449015], [0.03365923692228683, 0.5468015700454549], [-0.5132329131522446, -1.5795684875451599], [-1.3894381164768121, 0.04272409783837014], [-0.35587809679490956, 0.2585605721071101], [0.20210526037049578, -0.3652834768780605], [-0.34091030356475926, -0.11076847227692947], [0.3522940537812288, -0.12656454263212424], [0.6981420138894041, 0.0], [0.5802006157230126, -0.22119294736682854], [-0.06247416876544852, 0.0], [0.5613621011752973, -0.20167396191813167], [-0.178878669028708, -0.058121202803354394], [-0.24223505341766138, 0.02240209739866447], [-0.3677774747124545, 0.2672059762210144], [0.05894526649517651, -0.0018125192500365315], [0.292388869035741, 0.8998804086845913], [-1.0670065870080856, 0.06568128088359416], [1.4002963708240552, 1.0173748652152412], [-0.002138046252571825, 0.003141466526089557], [0.009996927509293601, -0.8759409889074954], [-0.39819358089569157, -2.5703285122928485], [-0.1451132787774565, 0.1997312933295844], [-0.40620163088430183, -0.5244040505390644], [-0.019069171350978995, 0.006195949362773335], [-0.8061453049122859, -0.5131264956869183], [1.1045226206452894, 1.520244965807617], [-0.4567554648285649, -0.13303483254425502], [0.8441725571912785, -2.5980959818027327], [-0.18968981057521267, -0.21604306428985612], [0.0, -1.6123440070980917], [0.7429337867351312, 0.9820720353640067], [0.0, -0.8516526590993533], [0.12586255662165519, -0.4874635857067586], [-0.02147598971862391, 0.06609630000155382], [-0.7906316082429838, 2.7145169488678755], [-0.7689902718892014, -1.058424307246509], [-0.1182365047212063, 0.610833649030891], [0.15349048486784314, -0.049872081717901105], [-0.8446437529626366, 0.6542582377404846], [0.055154904285752614, -0.07591421308422794], [1.045790538910192, -0.41242206947003096], [1.4176727041001465, -1.0054825787705877], [-0.24388595345407274, -0.16598599555554247], [0.23738870436824322, 0.1724729893916207], [-0.6564043329677053, -0.38999649688790716], [-0.08293325546548717, -0.25524231503047945], [-0.011742728690844704, -0.38188740453291475], [-0.04568239023013499, 0.033190199283129676], [-0.28900385007495577, 0.23842696020153253], [0.3154081866421614, 0.10248233219314291], [0.0071423293236684, 0.0198807667498893], [-0.034491040069501, 0.0], [0.14066645014660023, -0.9900570437117016], [0.12408017292794743, 0.0], [-0.32619017393273986, -0.9079545999892205], [-1.2719864384144743, -0.4132934471820074], [1.7790390932287623, -1.467699765827383], [-0.46672366169824137, 0.3390945890501591], [-0.025611216978983338, -0.8329070215731695], [-0.03780277578309639, -0.1163449806871631], [0.8228535309943332, 0.4888907315537533], [-1.714174136827588, -1.2454204108121232], [-1.382327725516123, -0.9407964684076426], [-0.056256383959362, 0.07560066574574867], [-0.6273755122554862, 0.2474142741517459], [-1.200784155009065, 1.6527376013427322], [-0.23724070251562754, 0.1837658579771147], [1.6568195927281526, -0.5383333187819589], [0.07885124105728011, -0.4073614271599336], [0.9977929037865606, 1.3733441131462552], [0.19730097544235764, -0.6774037823464378], [0.005979611354528105, -0.018403351424537365], [0.30236251149713994, -1.1710449715458715], [0.0, 0.1099816841791981], [1.317057832240925, -0.4394929337131297], [0.0, 0.3395947687345092], [0.26044148555563196, 0.2966241383077935], [0.2628973438050515, -0.8091148269959095], [0.16588809360350634, 0.048316651803851626], [0.23510036815611227, 0.3235878962261897], [-1.0260566379127372, -0.6531041535319125], [0.3853988391081348, -0.1252236737315299], [-0.5299402648670399, -0.684149940104931], [-0.9158215422869416, 1.2605202131817728], [0.2634169662256794, 1.7003492055008964], [-0.005072579168837691, 0.006816832779176997], [0.21792490665325454, -0.32020064983575103], [0.6345044406815216, 0.4609944603633802], [-0.028372374761976262, 0.0017465064778103751], [0.04905853300455066, 0.15098663938607437], [1.4341040802167027, -0.04409754008256815], [-1.2938598299147486, 0.9400441917108477], [1.7025127007177405, -0.15744977783286146], [0.21133919222419628, 0.06866826613959365], [0.529927212775532, -0.1903807191559964], [-0.22570360205286888, 0.0], [-0.40342559499480984, -0.5005316559640743], [1.8625032614163433, 0.0], [-0.11687340639503112, 0.04198773458558346], [-1.131050109504556, -0.3675004580044158], [0.0967414445640357, -0.1748497350527939], [-1.2242289752689952, 0.8894544145493483], [0.11581972774569896, -0.0035613629143613715], [-0.22878957000979452, -0.7041418930965497], [0.01153870038039518, 0.187448678615365], [-0.24593961738977704, -0.17868559135503984], [-0.24388547873679994, 0.35834494540489154], [-1.9486515978832346, 1.3820786900236817], [-0.05341769232987893, 0.2367195797213635], [0.03163420998040293, -0.04354075468541535], [0.5048570013261758, 0.6517675861174983], [1.7837271859115318, -0.5795680954087518], [-0.09122838927868628, 0.1433239918614442], [-0.15678707558079596, -0.21579889619295498], [-0.8690217392098274, -0.2531117205056077], [-0.108160650266174, 0.3328842526943739], [-1.0650147824250638, -0.8908079958481693], [0.0, -1.6701638659083973], [-0.6681243428152182, 0.5054335426969467], [0.0, 0.7251638367137503], [-0.4943254836014159, -0.1276342910396141], [-0.2961161031238368, 0.9113516556767222], [-0.1614219855493568, 0.5542185654168384], [-0.14476309961387906, -0.19924931305991067], [-0.5764355187079817, -1.3395150984710684], [-0.1572341545142091, 0.051088473722194674], [0.7525076362635542, -0.5828899086285307], [-0.13315117363055906, 0.18326686807461953], [0.04800105256589448, 0.12171765370279489], [0.02126425421549537, -1.8631956517225514], [0.914451144506234, 0.6223650089645528], [0.04460088894929477, 0.032404442608506986], [1.0622464752395209, 2.2733341975086003], [0.14278129518438137, 0.43943564160553084], [0.041974695796518316, 1.3650666770738404], [1.4467686324339826, -1.0511389396474444], [-0.030541688369116134, -0.0370204171499869], [-2.127976484662818, -0.6914214729874106], [0.019936600449519375, 0.05549378716116935], [0.6418636957437674, 0.0], [0.2145443104474426, -0.9026488750477051], [0.18458674826006297, 0.0], [-0.40940892905801973, -1.1395950893712046], [0.45230306897928746, 0.14696217577796136], [-0.03307051597217866, -0.04008567836391649], [0.2938235764172859, -0.21347532399779123], [0.043378189781551627, 1.410709958915122], [-0.039697546325225104, -0.12217648479139728], [-0.03195480635186611, 0.19743072291569702], [0.7184255702385961, 0.5219667299848426], [-0.5210711642522683, -0.3546350854928829], [0.36605486426633377, 0.12357438469058848], [0.0043282045910367955, 0.01097515323947244], [0.847285803422853, -1.1661888613031075], [-0.2051382230246915, 0.1588993842890426], [-1.3381469168732611, 0.4347902897454602], [-0.6558052709524559, 0.2822136547504338], [0.7288425395556823, 1.0031656943147373], [-0.1334369283936705, 0.4581360015879456], [-0.3558435188932941, 1.0951737399084025], [0.9974339671810869, 0.257536342922263], [0.0, 2.2945227951109], [-0.063550772423921, 0.001228412340505977], [0.0, -0.24499995968749266], [-0.8858568685447455, 0.1094754718374705], [0.10432705595725189, -0.3210856626015956], [0.2636044982652419, 0.0767775822841905], [0.21526648561860884, 0.2962888988888211], [-0.10025033223165644, 0.1574978788344548], [-1.1041892789174002, 0.35877284508947355], [0.1321301493918646, 0.17057928937552988], [-0.6105355805190115, 0.8403301348307398], [0.8839514750895674, 0.19947081684775297], [-0.2650610994824731, 0.0827914755948945], [-1.7507751540409942, 2.572442731074316], [-0.6849979392227643, -0.49768013444136977], [0.09808295780798071, 1.5933788234098258], [0.11308945556964557, 0.34805355563481044], [0.10874168730691429, -0.0033437188979604272], [1.0954835859544418, -0.7959154139277183], [0.20894547497169674, 0.027257943351800047], [1.5341838447160174, 0.4984865487905607], [0.8573499293625821, -0.30801002889717516], [0.4780830654556074, 0.0], [-0.1416447203833348, 0.5238175441640627], [-0.12345386542865783, 0.0], [-1.1482235291822485, 0.41250876718072543], [-0.7313118745083965, -0.2376176321167855], [0.10711640852495263, 1.158255340077971], [-0.5643708447481375, 0.4100394202758329], [-0.6093954717054726, 0.01873841767161484], [-0.6647222002021514, -2.045804572357074], [-1.3002730041737816, 0.0800403647478568], [0.34573889127297064, 0.25119400809523473], [0.10431381270072165, -0.15327000078408462], [-1.540269589041572, 1.0662249344303356], [0.5597409169609425, -0.5227889119015697], [-0.06281852009243766, 0.08646227532598634], [0.07873539381870026, 0.10164695633896949], [0.10401509706918738, -0.033796553743356626], [-2.182503490976564, -1.3892041066605514], [-0.603352888016965, -0.8304440067306191], [1.575541674591679, 0.45889308171598897], [-0.06957511013606774, 0.21413017106293075], [0.7471191230589197, -0.6559844232723175], [0.0, -0.8015209116702617], [0.0957692638679766, 0.2764501572615255], [0.0, -0.5793875434238337], [0.06956091016485853, -0.26940824661552737], [-0.3355389576909305, 1.0326827261663207], [0.33565915289507664, -1.1524361663217186], [-0.10056868379097814, -0.13842091813548468], [0.07064910959889288, 0.07112861889464646], [-0.47814025888833506, 0.155357187674721], [0.5921724047502275, -0.45869477233624584], [0.4788251718903369, -0.6590463096563617], [-2.145991796811777, 0.8463017640503133], [0.03931101751148715, 0.12585621223076854], [0.2822824426623135, 0.1921182077506481], [-0.0014485198102761167, -0.0010524112448238555], [0.511391882007512, -0.8607252882343747], [-0.4180953007947585, -1.2867650242263637], [-0.02869597025375285, -0.9332268409899799], [0.13555351496715218, -0.09848539344424727], [0.4137876780335818, -0.34137309318477765], [-1.7779257171805434, -0.5776830839509743], [0.3866338098257572, 1.0762002481872401], [1.0139365011556982, 0.0], [-0.0899928314554581, 0.43806539498872715], [-0.6480263707804557, 0.0], [0.7871289580651489, 2.1909837124871214], [-1.1723357445796607, -0.3809149740118014], [0.10449301248233196, -0.08620629559779756], [-0.8344352585219477, 0.6062527021833427], [-0.01757806826010386, -0.5716595385352967], [-0.3701457132864498, -1.139191368137698], [-0.04507879390299843, 0.07587226008184142], [-0.8998871967295107, -0.6538063188315163], [-0.353862844920949, -0.24083501231808804], [-0.34127750383430905, 1.0109400152468302], [-1.159691760368557, 0.4573406030780857], [-0.06373528753681802, 0.08772409746170803], [0.5454176591723656, -0.422478702140401], [0.2868389784465247, -0.09319963374460195], [1.715690995667391, 0.752110646855304], [-0.29589296595625064, -0.40726172873677585], [0.036255457658569454, -0.12447776344517499], [-0.20925793091346614, 0.6440296889957313], [-0.046389768612546886, 0.17966680127080964], [0.0, -0.4923819444120948], [-0.23880789429450425, 0.3424169160134694], [0.0, -1.618262094448635], [0.25747532980037163, -0.22606810682936657], [-0.16714188558610663, 0.5144098296407901], [-2.206926885307609, -0.6427906642222858], [0.6563950512916135, 0.9034502812845254], [0.9796365438119868, 0.6235568993703732], [-0.6299796742329443, 0.20469280438467358], [-0.10810260640657518, -0.1395598647647603], [-0.5687093083751695, 0.7827612100512487], [0.5142608089633934, 0.5506100267490803], [0.24325288862199532, 0.0027761932878758895], [-0.6621369474229788, 0.9728887078632231], [0.4400542708784003, 0.31971814242354885], [0.9404818780279833, -0.057892851973760144], [-0.5694021811808, -1.752439719051829], [0.06441910046058832, -0.0019808352154011906], [-0.6305568817935505, 0.45812639094946367], [-0.0708607087617138, -0.7662205581308829], [1.4712906642364132, 0.4780513156940064], [-0.6917517436264814, 0.24851751571551808], [0.3926305893650499, 0.0], [0.13016861713442704, 2.597730340140295], [0.012712528737517655, 0.0], [0.478171204871385, -0.17178694671349937], [0.7995987522242834, 0.25980538368092515], [0.49081354067421873, -0.24799463635965777], [0.2815724503365764, -0.20457435988420014], [-0.7642746213872305, 0.02350082620615674], [-0.4207589937342949, -1.2949630281344648], [-0.0024986990919368592, -0.04059190615927369], [-0.3870724651958037, -0.2812246073846263], [-0.37153551331554113, 0.5459032408350877], [0.16632348462781057, 0.23450656350105303], [0.19070603406558262, 0.043034362705263535], [0.9290969949295004, -1.278792306185062], [-0.009747498697235358, -0.012583966707190345], [-0.6777543065166103, 0.2202157233939211], [-0.04798668743374659, 0.07538929113613968], [0.2121698014226147, 0.292026678748046], [1.3772825354231109, 0.40114802246517484], [0.22196905858365595, -0.6831505173652073], [0.20372837537790325, 1.6485353076524158], [0.0, -0.08398827146824123], [0.1807901236939377, -0.595325582359613], [0.0, 0.9183541617077362], [0.17725774873273983, 0.04576775392187468], [-0.025157144943350293, 0.07742573083448087], [0.030348313934082886, -0.10419645721818024], [-1.1608001285189753, -1.5977043101741324], [1.106214668411894, -0.4760389986766251], [-0.3331827720261253, 0.1082576450767663], [0.5617847620075765, -0.4351566054816882], [0.044659601380178285, -0.06146866791512687], [-0.5397885955264587, -1.3687575132402348], [0.6125394595631457, 0.4558062377827962], [-1.0481054577399886, -0.7133286086643394], [-0.23551665011549805, -0.17111286236226803], [0.45091259481976226, 0.42689214830340516], [-0.15958134925076298, -0.4911408914292877], [-0.000411649709962449, -0.013387334703291905], [0.7462747420785102, -0.5422003376962694], [0.008869054994137978, 0.01075042452273782], [0.21714442569257453, 0.07055450083470022], [-1.5131211311231445, -4.2117923871840395], [-0.7097605875231305, 0.0], [-0.24232865804755324, 0.9701942184371498], [0.48434986145996756, 0.0], [0.22049700819837456, 0.6137562957946624], [-1.3392859412121103, -0.4351603811876409], [0.8789771125492891, 1.0654322373602088], [-0.9943818706637665, 0.7224607181147528], [-0.026501471104437697, -0.8618591370733385], [-0.01808173976151805, -0.055649872787511295], [0.7936329876237531, -0.3708358606759368], [-0.5010752291971551, -0.3640524637417667], [-0.6288245864654118, -0.42797083446595136], [-0.7678655241291543, -0.5713883248044759], [-0.41168932984480594, -1.043932509904786], [0.5459902001903807, -0.7514910402964767], [-0.7680717246773828, 0.5949457996736623], [-0.48523594552520005, 0.15766271602133508], [0.22911971193050926, 0.5324260971568219], [0.012615646288244962, 0.017363947466199632], [0.09885871895210606, -0.33941682237473225], [-0.16061196732348984, 0.49431280770483443], [-0.11071013103413836, -0.028585232916777253], [0.0, 1.0705287878293006], [-0.12056788770760553, 0.39701918720356255], [0.0, 0.21298037885605878], [-0.5627645096973913, 1.095313745344985], [-0.2559267477917804, 0.7876615384015655], [3.351301553850329, 0.9761018211114744], [0.013660211807302754, 0.018801668561378364], [0.18137006251506566, -0.2849407028815321], [-0.7969749114974336, 0.25895284614899355], [1.063475454169547, 1.3729409076996748], [0.003745554643559471, -0.005155313693532107], [0.01968841610653369, -0.08724887547250099]], 'angles': [None, -0.07787355530678126, None, 0.14304626836356107, None, -0.3832005802711632, -0.15208273397141822, -0.49372931113017926, -0.33513304058140425, -0.34433134840000534, -0.29443378755367583, -0.04494099364311377, -0.1665329514518463, -0.3003463357729906, -0.18407159452041563, -0.08745321402001874, -0.45598347235780495, -0.027843666467551507, -0.499323822291981, 0.09081899352388162, -0.33093930444889164, -0.16050012229929217, -0.36940676617731993, -0.17057834968968524, -0.2800397710425485, -0.4580959636308908, -0.2251609755380854, -0.367195926523478, -0.4165578368986001, -0.42259861767090307, -0.3979743613013902, -0.3318325321062878, -0.3623789536086152, 0.0031979358483625164, -0.060040382336924894, -0.294805053662471, 0.13639897257851852, -0.35584010772252145, -0.06024750498208469, -0.2950008096596812, -0.14526016516134072, -0.4533584925941457, -0.2864638548971632, -0.058918054226874066, 0.0038195099463403663, 0.004135830825601223, -0.03709790528646878, -0.09289439499308544, -0.45140373258118244, -0.2280770512411914, -0.4032365385016357, 0.1815673758252153, -0.498890943228316, -0.4917228015435129, -0.00795056197702197, -0.3991186092298331, -0.43456441660250983, 0.10477606531277593, -0.318931300402326, -0.4589666912944896, -0.4561268317859473, -0.2405118691743818, -0.15595736145256625, -0.2275592128902651, -0.3913059009136707, -0.275918999534883, 0.04820058614485434, -0.24619528347059394, -0.32643776406822594, -0.16940797075623762, -0.1698852954215044, -0.07397079921023765, -0.22878145452110352, 0.04542323825726989, -0.13476990594708874, -0.3252543268972255, 0.028943789732218922, -0.1464960110313178, -0.2989723780199361, -0.42191784970460183, -0.39557727451055885, -0.40069821266458533, -0.04755144934306161, 0.011096713005768503, -0.34687189519150496, -0.15384296710535492, -0.13967552597778538, -0.4998757037328053, -0.44010360930450826, 0.04088081103841788, -0.15355304371860337, -0.240724672448792, -0.12905694377557822, -0.4692694099043385, -0.4674012947666138, 0.10177034673590991, -0.45644533035968055, -0.014250362283026563, -0.30584788300933785, -0.33239823506858907, -0.3599184158934291, -0.31608775602834827, -0.2769511650642314, -0.26021016675397574, -0.4339446160805622, -0.2309805195389046, -0.3342284433067626, -0.4920469184920308, 0.04801353097641153, -0.436981753580498, -0.24085754985391683, -0.1694099671345866, -0.23744074246661054, -0.19708111070840575, -0.10869500148989993, -0.45545981032403976, 0.029294515529606255, -0.35084055665597663, -0.3940478897505072, -0.19324859922183046, -0.25497234524311313, -0.41969644081335417, 0.09438418628143004, -0.42999172613228637, -0.3925300955429665, -0.17348647989219865, -0.39657013200258995, -0.13172247923883756, 0.02715566324653456, -0.2675278144035779, -0.08586651972394181, -0.4974906414693642, -0.30135037259231956, -0.1742855328361313, -0.39571667653939796, -0.34271008173292905, 0.1295231388564446, -0.17388961689151594, -0.3209373366574508, 0.00643177889797147, 0.14764821376451243, -0.3985727392475605, -0.4869134283324193, -0.21957332065617405, -0.02071240206788365, -0.26280847916827366, -0.18577794880991225, -0.4343729809597295, -0.45322326813024894, -0.11363218221220917, -0.39217078672820344, -0.3025161106881275, -0.3056913046851227, -0.44780068458257216, -0.005714826653930857, -0.4803669891613904, -0.41371161463956696, -0.3221619126358668, -0.254952705301992, -0.07111705484308728, 0.07592782992619013, -0.32802287221640314, -0.3077391890060147, -0.32432562815070504, -0.20011121837807808, -0.3410547944285461, 0.01698063762188953, -0.3688086743085306], 'char_orbit_index': 18, 'conrey_index': 51, 'dual_conrey_index': 151, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.4067366430758002, 'embedding_root_real': 0.9135454576426009, 'hecke_orbit': 2, 'hecke_orbit_code': 4504767892029660, 'label': '220.2.r.b.51.1', 'level': 220, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'char_conductor': 44, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 10, 'char_parity': 1, 'char_values': [220, 10, [111, 177, 101], [5, 10, 7]], 'conrey_index': 51, 'cusp_dim': 128, 'dim': 96, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1168264659164, 'hecke_orbit_dims': [8, 8, 32, 48], 'label': '220.2.r', 'level': 220, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 160, 'mf_new_dim': 96, 'num_forms': 4, 'prim_orbit_index': 7, 'relative_dim': 24, 'sturm_bound': 72, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -4, 0, 0, 0, 0, 32, 0, 0, 0, 0, -10, 0, -24, 0, -50, 0, 4, 0, -36, 0, -60, -24, 12, 0, -50, 0, 0, 0, 0, 4, -28, 0, 64, -48, 50, 0, 0, -20, 70, 0, 14, 0, 10, 0, 54, -36, 0, 0, 50, -64, 0, 0, -32, -20, -22, 0, -42, 0, 0, 0, -16, 0, -94, 0, -130, 32, -32, 0, 50, 0, -20, 0, 0, 32, -148, 0, -24, -28, 108, 0, 120, 0, 100, 0, 8, 32, 0, 0, 32, -32, 120, 0, 30, 44, 0, 0, -4, 40, -32, 0, -18, 0, 0, 0, 64, 0, -4, 0, 60, -132, 74, 0, -50, -80, 100, 0, 0, -8, 200, 0, 72, 0, 22, 0, 210, -260, -20, 0, 24, -48, 170, 0, -12, -100, 90, 0, 0, -64, 0, 0, 160, 0, -98, 0, -38, -80, 0, 0, -68, 0, -42, 0, 30, 16, 70, 0, 50, 160, -170, 0, 0, 96, -40, 0, -56, 60, 32, 0, -170, 120, -30, 0, -24, 112, 80, 0, 68, 88, -210, 0, -110, 60, 0, 0, 112, 120, 42, 0, -114, 160, -170, 0, -100, 0, 34, 0, 10, 28, -216, 0, -220, 0, -150, 0, 0, 104, 68, 0, -38, 16, -128, 0, -90, 0, -112, 0, -24, -144, -310, 0, -192, 32, 70, 0, -210, -64, 0, 0, -364, 20, -86, 0, 106, 80, -40, 0, 28, 0, 134, 0, -10, 32, 12, 0, 60, 20, 0, 0, 0, -24, -216, 0, -56, 64, -90, 0, -50, 80, 6, 0, 16, -8, 40, 0, -128, 80, -120, 0, 250, 256, 0, 0, 56, 40, 140, 0, -64, -140, 430, 0, -4, 0, 18, 0, -70, -192, -54, 0, 280, 80, 230, 0, 0, -396, -176, 0, 0, 128, 14, 0, 60, 0, 18, 0, 36, -176, -100, 0, 350, 128, 130, 0, -90, -32, 0, 0, -112, -400, 138, 0, 314, 0, -20, 0, 232, 0, 40, 0, 250, 416, 194, 0, 30, 140, 100, 0, 0, 24, 568, 0, -34, 16, -188, 0, -40, 480, 0, 0, 34, -104, 60, 0, -126, 192, 50, 0, 70, 20, 0, 0, 420, -120, 86, 0, 122, 280, 120, 0, -138, 0, 50, 0, 150, 88, 124, 0, 180, -360, -160, 0, 0, -100, 172, 0, 100, -128, 86, 0, -340, -180, -116, 0, -88, -176, 220, 0, 26, -200, -400, 0, -100, -192, 0, 0, 208, -100, 82, 0, -162, -360, -140, 0, 114, 0, 186, 0, 180, -200, -192, 0, -320, -20, 120, 0, 0, -312, 176, 0, -236, 4, -296, 0, 0, 0, -246, 0, -20, 192, -430, 0, -282, -64, 20, 0, -110, 76, 0, 0, -484, -80, -136, 0, 98, -300, -270, 0, 8, 0, 18, 0, -340, -24, -44, 0, -340, -80, -60, 0, 0, -216, -412, 0, 56, -168, -206, 0, -180, -180, -6, 0, 62, 32, 10, 0, -284, 4, -130, 0, 110, -184, 0, 0, 96, 80, 4, 0, 4, 280, 380, 0, 78, 0, 110, 0, 50, 288, -176, 0, 630, -300, 340, 0, 0, 280, -48, 0, -32, 256, 300, 0, 270, 0, 36, 0, -148, 184, -100, 0, 382, -264, 390, 0, 300, 324, 0, 0, -272, 240, 166, 0, 322, 0, 180, 0, -52, 0, 14, 0, 580, -152, 314, 0, 0, -40, 150, 0, 0, 456, 328, 0, 70, -16, -96, 0, -50, 200, 68, 0, -90, -288, 240, 0, -110, -144, 30, 0, 140, -48, 0, 0, 356, 100, 70, 0, 186, -320, 130, 0, -186, 0, 208, 0, 0, -120, 32, 0, 60, 160, -400, 0, 0, 128, -128, 0, 42, -296, 92, 0, -580, 120, -166, 0, 92, 56, 40, 0, 100, 400, -540, 0, -470, -24, 0, 0, 180, 80, 52, 0, -328, 160, -390, 0, 54, 0, -298, 0, 210, -136, -404, 0, -260, 80, 270, 0, 0, 52, 32, 0, -296, 112, -190, 0, 220, 260, 30, 0, -12, -32, -370, 0, -200, 140, 10, 0, 20, -64, 0, 0, -728, 320, -72, 0, -94, 400, -140, 0, -84, 0, -10, 0, -720, 16, 86, 0, -250, 260, -190, 0, 0, 632, -608, 0, 52, 236, -82, 0, -60, -120, 106, 0, -10, -80, 120, 0, 14, -192, -230, 0, 290, 72, 0, 0, -124, 640, -312, 0, -188, 100, 250, 0, 222, 0, -390, 0, -440, 188, -176, 0, 510, 400, -140, 0, 0, 28, -500, 0, -106, -224, 624, 0, 610, 0, -12, 0, -100, 352, -40, 0, 388, 440, 750, 0, -200, -216, 0, 0, -316, -160, 38, 0, 200, 0, -200, 0, -216, 0, -112, 0, 500, 104, 536, 0, -300, 80, 180, 0, 0, -280, 692, 0, 266, 84, 74, 0, 510, -360, 98, 0, 76, -96, 630, 0, 46, 96, 570, 0, 0, -528, 0, 0, 788, -80, -48, 0, 154, -20, 230, 0, -86, 0, -110, 0, -120, 276, 318, 0, 180, -80, -290, 0, 0, -76, -236, 0, 200, 200, 140, 0, -400, -340, -50, 0, -358, -208, 40, 0, 276, -336, -550, 0, -240, -16, 0, 0, 212, -80, 2, 0, -552, -80, -700, 0, 70, 0, 44, 0, 110, -152, -508, 0, -810, -260, -80, 0, 0, -104, 360, 0, 66, -372, -158, 0, 250, -480, 396, 0, -8, 224, -690, 0, -562, -288, 70, 0, 130, -148, 0, 0, -712, -920, -182, 0, 36, -240, -30, 0, -26, 0, 314, 0, -440, -64, 58, 0, 60, -480, -200, 0, 0, -24, -668, 0, 202, -408, -72, 0, -180, 180, 22, 0, 304, 32, 460, 0, -68, -240, -180, 0, 540, -168, 0, 0, 384, -80, 74, 0, -162, -480, 780, 0, 188, 0, -304, 0, -280, -192, 0, 0, 670, -400, 460, 0, 0, -480, -448, 0, -4, -48, 534, 0, 430, 0, -114, 0, 590, -136, -200, 0, 908, -592, 390, 0, -360, -296, 0, 0, -320, 120, 276, 0, 180, 0, -390, 0, -160, 0, -26, 0, 90, -524, 542, 0, 30, -160, 140, 0, 0], 'weight': 2, 'weight_parity': 1}
-
mf_twists_cc • Show schema
Hide schema
-
id: 37317756
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504767892029660, 'source_is_minimal': True, 'source_label': '220.2.r.b.51.1', 'source_level': 220, 'target_conrey_index': 51, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892029660, 'target_is_minimal': True, 'target_label': '220.2.r.b.51.1', 'target_level': 220, 'twist_class_label': '220.2.r.a.51.2', 'twist_class_level': 220, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
-
id: 37317757
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504767892029660, 'source_is_minimal': True, 'source_label': '220.2.r.b.51.1', 'source_level': 220, 'target_conrey_index': 51, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168264659164, 'target_is_minimal': True, 'target_label': '220.2.r.a.51.2', 'target_level': 220, 'twist_class_label': '220.2.r.a.51.2', 'twist_class_level': 220, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 37317758
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 51, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504767892029660, 'source_is_minimal': True, 'source_label': '220.2.r.b.51.1', 'source_level': 220, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168264659164, 'target_is_minimal': True, 'target_label': '220.2.r.a.151.2', 'target_level': 220, 'twist_class_label': '220.2.r.a.51.2', 'twist_class_level': 220, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
-
id: 37317759
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 51, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504767892029660, 'source_is_minimal': True, 'source_label': '220.2.r.b.51.1', 'source_level': 220, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892029660, 'target_is_minimal': True, 'target_label': '220.2.r.b.151.1', 'target_level': 220, 'twist_class_label': '220.2.r.a.51.2', 'twist_class_level': 220, 'twisting_char_label': '44.19', 'twisting_conrey_index': 19, 'weight': 2}
-
mf_hecke_charpolys • Show schema
Hide schema
-
id: 529925
{'charpoly_factorization': [[[16, -40, 52, -50, 39, -25, 13, -5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 2}
-
id: 529926
{'charpoly_factorization': [[[1, -5, 12, -15, 9, -5, 8, -5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 3}
-
id: 529927
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 4504767892029660, 'p': 5}
-
id: 529928
{'charpoly_factorization': [[[961, 1333, 993, 511, 390, 121, 23, 3, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 7}
-
id: 529929
{'charpoly_factorization': [[[14641, 1331, 1210, -341, -51, -31, 10, 1, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 11}
-
id: 529930
{'charpoly_factorization': [[[1, 0, 3, -20, 49, -60, 37, -10, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 13}
-
id: 529931
{'charpoly_factorization': [[[3481, -2065, 842, 275, 69, -75, -12, 5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 17}
-
id: 529932
{'charpoly_factorization': [[[1, 24, 227, 257, 300, 143, 57, 11, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 19}
-
id: 529933
{'charpoly_factorization': [[[93025, 0, 36500, 0, 3710, 0, 115, 0, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 23}
-
id: 529934
{'charpoly_factorization': [[[841, -870, 483, 235, -116, -45, 7, 5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 29}
-
id: 529935
{'charpoly_factorization': [[[177241, -421000, 336257, -90310, 11919, -870, 63, -10, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 31}
-
id: 529936
{'charpoly_factorization': [[[625, -1875, 6125, -6875, 3900, -1025, 195, -20, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 37}
-
id: 529937
{'charpoly_factorization': [[[292681, -354355, 175163, -44995, 6564, -585, 57, -10, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 41}
-
id: 529938
{'charpoly_factorization': [[[61, 163, 89, 17, 1], 2]], 'hecke_orbit_code': 4504767892029660, 'p': 43}
-
id: 529939
{'charpoly_factorization': [[[2025, -4050, 3375, -1350, 135, 90, -15, 0, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 47}
-
id: 529940
{'charpoly_factorization': [[[4932841, -428653, 217783, -36311, 6540, 149, 43, 7, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 53}
-
id: 529941
{'charpoly_factorization': [[[7778521, -1101655, -235747, -86905, 27624, 2235, -63, 5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 59}
-
id: 529942
{'charpoly_factorization': [[[177241, -500990, 442887, -93300, 12144, 250, -82, 10, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 61}
-
id: 529943
{'charpoly_factorization': [[[1, 0, 248, 0, 8534, 0, 187, 0, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 67}
-
id: 529944
{'charpoly_factorization': [[[1707259761, -730726515, 151019667, -19329975, 1657134, -96975, 3783, -90, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 71}
-
id: 529945
{'charpoly_factorization': [[[11082241, 2413525, -855712, -135275, 33879, -75, 102, -5, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 73}
-
id: 529946
{'charpoly_factorization': [[[1846881, 2800899, 1733832, 245727, 37215, 3663, 342, 21, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 79}
-
id: 529947
{'charpoly_factorization': [[[358801, 342029, 180237, 53947, 12380, 1003, 117, -19, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 83}
-
id: 529948
{'charpoly_factorization': [[[295, 1130, -120, -10, 1], 2]], 'hecke_orbit_code': 4504767892029660, 'p': 89}
-
id: 529949
{'charpoly_factorization': [[[961, 19096, 964327, 349298, 76815, 10522, 907, 44, 1], 1]], 'hecke_orbit_code': 4504767892029660, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 2, 'label': '220.2.r.b', 'level': 220, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 24524425
{'hecke_orbit_code': 4504767892029660, 'n': 1, 'trace_an': 8}
-
id: 24524426
{'hecke_orbit_code': 4504767892029660, 'n': 2, 'trace_an': 5}
-
id: 24524427
{'hecke_orbit_code': 4504767892029660, 'n': 3, 'trace_an': 5}
-
id: 24524428
{'hecke_orbit_code': 4504767892029660, 'n': 4, 'trace_an': -1}
-
id: 24524429
{'hecke_orbit_code': 4504767892029660, 'n': 5, 'trace_an': 2}
-
id: 24524430
{'hecke_orbit_code': 4504767892029660, 'n': 6, 'trace_an': 1}
-
id: 24524431
{'hecke_orbit_code': 4504767892029660, 'n': 7, 'trace_an': -3}
-
id: 24524432
{'hecke_orbit_code': 4504767892029660, 'n': 8, 'trace_an': 5}
-
id: 24524433
{'hecke_orbit_code': 4504767892029660, 'n': 9, 'trace_an': 3}
-
id: 24524434
{'hecke_orbit_code': 4504767892029660, 'n': 10, 'trace_an': -5}
-
id: 24524435
{'hecke_orbit_code': 4504767892029660, 'n': 11, 'trace_an': -1}
-
id: 24524436
{'hecke_orbit_code': 4504767892029660, 'n': 12, 'trace_an': -10}
-
id: 24524437
{'hecke_orbit_code': 4504767892029660, 'n': 13, 'trace_an': 10}
-
id: 24524438
{'hecke_orbit_code': 4504767892029660, 'n': 14, 'trace_an': 5}
-
id: 24524439
{'hecke_orbit_code': 4504767892029660, 'n': 15, 'trace_an': 5}
-
id: 24524440
{'hecke_orbit_code': 4504767892029660, 'n': 16, 'trace_an': 7}
-
id: 24524441
{'hecke_orbit_code': 4504767892029660, 'n': 17, 'trace_an': -5}
-
id: 24524442
{'hecke_orbit_code': 4504767892029660, 'n': 18, 'trace_an': -10}
-
id: 24524443
{'hecke_orbit_code': 4504767892029660, 'n': 19, 'trace_an': -11}
-
id: 24524444
{'hecke_orbit_code': 4504767892029660, 'n': 20, 'trace_an': -4}
-
id: 24524445
{'hecke_orbit_code': 4504767892029660, 'n': 21, 'trace_an': 0}
-
id: 24524446
{'hecke_orbit_code': 4504767892029660, 'n': 22, 'trace_an': 1}
-
id: 24524447
{'hecke_orbit_code': 4504767892029660, 'n': 23, 'trace_an': 0}
-
id: 24524448
{'hecke_orbit_code': 4504767892029660, 'n': 24, 'trace_an': 3}
-
id: 24524449
{'hecke_orbit_code': 4504767892029660, 'n': 25, 'trace_an': -2}
-
id: 24524450
{'hecke_orbit_code': 4504767892029660, 'n': 26, 'trace_an': 7}
-
id: 24524451
{'hecke_orbit_code': 4504767892029660, 'n': 27, 'trace_an': -10}
-
id: 24524452
{'hecke_orbit_code': 4504767892029660, 'n': 28, 'trace_an': -9}
-
id: 24524453
{'hecke_orbit_code': 4504767892029660, 'n': 29, 'trace_an': -5}
-
id: 24524454
{'hecke_orbit_code': 4504767892029660, 'n': 30, 'trace_an': -6}
-
id: 24524455
{'hecke_orbit_code': 4504767892029660, 'n': 31, 'trace_an': 10}
-
id: 24524456
{'hecke_orbit_code': 4504767892029660, 'n': 32, 'trace_an': 0}
-
id: 24524457
{'hecke_orbit_code': 4504767892029660, 'n': 33, 'trace_an': -11}
-
id: 24524458
{'hecke_orbit_code': 4504767892029660, 'n': 34, 'trace_an': -14}
-
id: 24524459
{'hecke_orbit_code': 4504767892029660, 'n': 35, 'trace_an': 8}
-
id: 24524460
{'hecke_orbit_code': 4504767892029660, 'n': 36, 'trace_an': -26}
-
id: 24524461
{'hecke_orbit_code': 4504767892029660, 'n': 37, 'trace_an': 20}
-
id: 24524462
{'hecke_orbit_code': 4504767892029660, 'n': 38, 'trace_an': -5}
-
id: 24524463
{'hecke_orbit_code': 4504767892029660, 'n': 39, 'trace_an': 3}
-
id: 24524464
{'hecke_orbit_code': 4504767892029660, 'n': 40, 'trace_an': 5}
-
id: 24524465
{'hecke_orbit_code': 4504767892029660, 'n': 41, 'trace_an': 10}
-
id: 24524466
{'hecke_orbit_code': 4504767892029660, 'n': 42, 'trace_an': 29}
-
id: 24524467
{'hecke_orbit_code': 4504767892029660, 'n': 43, 'trace_an': -34}
-
id: 24524468
{'hecke_orbit_code': 4504767892029660, 'n': 44, 'trace_an': 32}
-
id: 24524469
{'hecke_orbit_code': 4504767892029660, 'n': 45, 'trace_an': -8}
-
id: 24524470
{'hecke_orbit_code': 4504767892029660, 'n': 46, 'trace_an': -10}
-
id: 24524471
{'hecke_orbit_code': 4504767892029660, 'n': 47, 'trace_an': 0}
-
id: 24524472
{'hecke_orbit_code': 4504767892029660, 'n': 48, 'trace_an': 0}
-
id: 24524473
{'hecke_orbit_code': 4504767892029660, 'n': 49, 'trace_an': -23}
-
id: 24524474
{'hecke_orbit_code': 4504767892029660, 'n': 50, 'trace_an': -5}
-
id: 24524475
{'hecke_orbit_code': 4504767892029660, 'n': 51, 'trace_an': 9}
-
id: 24524476
{'hecke_orbit_code': 4504767892029660, 'n': 52, 'trace_an': -5}
-
id: 24524477
{'hecke_orbit_code': 4504767892029660, 'n': 53, 'trace_an': -7}
-
id: 24524478
{'hecke_orbit_code': 4504767892029660, 'n': 54, 'trace_an': -26}
-
id: 24524479
{'hecke_orbit_code': 4504767892029660, 'n': 55, 'trace_an': -9}
-
id: 24524480
{'hecke_orbit_code': 4504767892029660, 'n': 56, 'trace_an': 15}
-
id: 24524481
{'hecke_orbit_code': 4504767892029660, 'n': 57, 'trace_an': 5}
-
id: 24524482
{'hecke_orbit_code': 4504767892029660, 'n': 58, 'trace_an': 18}
-
id: 24524483
{'hecke_orbit_code': 4504767892029660, 'n': 59, 'trace_an': -5}
-
id: 24524484
{'hecke_orbit_code': 4504767892029660, 'n': 60, 'trace_an': -10}
-
id: 24524485
{'hecke_orbit_code': 4504767892029660, 'n': 61, 'trace_an': -10}
-
id: 24524486
{'hecke_orbit_code': 4504767892029660, 'n': 62, 'trace_an': -1}
-
id: 24524487
{'hecke_orbit_code': 4504767892029660, 'n': 63, 'trace_an': -23}
-
id: 24524488
{'hecke_orbit_code': 4504767892029660, 'n': 64, 'trace_an': 11}
-
id: 24524489
{'hecke_orbit_code': 4504767892029660, 'n': 65, 'trace_an': 0}
-
id: 24524490
{'hecke_orbit_code': 4504767892029660, 'n': 66, 'trace_an': -17}
-
id: 24524491
{'hecke_orbit_code': 4504767892029660, 'n': 67, 'trace_an': 0}
-
id: 24524492
{'hecke_orbit_code': 4504767892029660, 'n': 68, 'trace_an': -15}
-
id: 24524493
{'hecke_orbit_code': 4504767892029660, 'n': 69, 'trace_an': 15}
-
id: 24524494
{'hecke_orbit_code': 4504767892029660, 'n': 70, 'trace_an': 15}
-
id: 24524495
{'hecke_orbit_code': 4504767892029660, 'n': 71, 'trace_an': 90}
-
id: 24524496
{'hecke_orbit_code': 4504767892029660, 'n': 72, 'trace_an': 10}
-
id: 24524497
{'hecke_orbit_code': 4504767892029660, 'n': 73, 'trace_an': 5}
-
id: 24524498
{'hecke_orbit_code': 4504767892029660, 'n': 74, 'trace_an': 35}
-
id: 24524499
{'hecke_orbit_code': 4504767892029660, 'n': 75, 'trace_an': 5}
-
id: 24524500
{'hecke_orbit_code': 4504767892029660, 'n': 76, 'trace_an': -18}
-
id: 24524501
{'hecke_orbit_code': 4504767892029660, 'n': 77, 'trace_an': -14}
-
id: 24524502
{'hecke_orbit_code': 4504767892029660, 'n': 78, 'trace_an': 0}
-
id: 24524503
{'hecke_orbit_code': 4504767892029660, 'n': 79, 'trace_an': -21}
-
id: 24524504
{'hecke_orbit_code': 4504767892029660, 'n': 80, 'trace_an': -7}
-
id: 24524505
{'hecke_orbit_code': 4504767892029660, 'n': 81, 'trace_an': -10}
-
id: 24524506
{'hecke_orbit_code': 4504767892029660, 'n': 82, 'trace_an': -2}
-
id: 24524507
{'hecke_orbit_code': 4504767892029660, 'n': 83, 'trace_an': 19}
-
id: 24524508
{'hecke_orbit_code': 4504767892029660, 'n': 84, 'trace_an': -30}
-
id: 24524509
{'hecke_orbit_code': 4504767892029660, 'n': 85, 'trace_an': 0}
-
id: 24524510
{'hecke_orbit_code': 4504767892029660, 'n': 86, 'trace_an': -30}
-
id: 24524511
{'hecke_orbit_code': 4504767892029660, 'n': 87, 'trace_an': -18}
-
id: 24524512
{'hecke_orbit_code': 4504767892029660, 'n': 88, 'trace_an': 43}
-
id: 24524513
{'hecke_orbit_code': 4504767892029660, 'n': 89, 'trace_an': 20}
-
id: 24524514
{'hecke_orbit_code': 4504767892029660, 'n': 90, 'trace_an': -15}
-
id: 24524515
{'hecke_orbit_code': 4504767892029660, 'n': 91, 'trace_an': -10}
-
id: 24524516
{'hecke_orbit_code': 4504767892029660, 'n': 92, 'trace_an': 25}
-
id: 24524517
{'hecke_orbit_code': 4504767892029660, 'n': 93, 'trace_an': 11}
-
id: 24524518
{'hecke_orbit_code': 4504767892029660, 'n': 94, 'trace_an': 0}
-
id: 24524519
{'hecke_orbit_code': 4504767892029660, 'n': 95, 'trace_an': 11}
-
id: 24524520
{'hecke_orbit_code': 4504767892029660, 'n': 96, 'trace_an': -36}
-
id: 24524521
{'hecke_orbit_code': 4504767892029660, 'n': 97, 'trace_an': -44}
-
id: 24524522
{'hecke_orbit_code': 4504767892029660, 'n': 98, 'trace_an': 50}
-
id: 24524523
{'hecke_orbit_code': 4504767892029660, 'n': 99, 'trace_an': -6}
-
id: 24524524
{'hecke_orbit_code': 4504767892029660, 'n': 100, 'trace_an': -1}
-
id: 24524525
{'hecke_orbit_code': 4504767892029660, 'n': 101, 'trace_an': -15}
-
id: 24524526
{'hecke_orbit_code': 4504767892029660, 'n': 103, 'trace_an': 10}
-
id: 24524527
{'hecke_orbit_code': 4504767892029660, 'n': 107, 'trace_an': 15}
-
id: 24524528
{'hecke_orbit_code': 4504767892029660, 'n': 109, 'trace_an': 0}
-
id: 24524529
{'hecke_orbit_code': 4504767892029660, 'n': 113, 'trace_an': -34}
-
id: 24524530
{'hecke_orbit_code': 4504767892029660, 'n': 121, 'trace_an': -19}
-
id: 24524531
{'hecke_orbit_code': 4504767892029660, 'n': 125, 'trace_an': 2}
-
id: 24524532
{'hecke_orbit_code': 4504767892029660, 'n': 127, 'trace_an': -37}
-
id: 24524533
{'hecke_orbit_code': 4504767892029660, 'n': 128, 'trace_an': 5}
-
id: 24524534
{'hecke_orbit_code': 4504767892029660, 'n': 131, 'trace_an': 14}
-
id: 24524535
{'hecke_orbit_code': 4504767892029660, 'n': 137, 'trace_an': 2}
-
id: 24524536
{'hecke_orbit_code': 4504767892029660, 'n': 139, 'trace_an': -8}
-
id: 24524537
{'hecke_orbit_code': 4504767892029660, 'n': 149, 'trace_an': 25}
-
id: 24524538
{'hecke_orbit_code': 4504767892029660, 'n': 151, 'trace_an': -9}
-
id: 24524539
{'hecke_orbit_code': 4504767892029660, 'n': 157, 'trace_an': 37}
-
id: 24524540
{'hecke_orbit_code': 4504767892029660, 'n': 163, 'trace_an': 5}
-
id: 24524541
{'hecke_orbit_code': 4504767892029660, 'n': 167, 'trace_an': 4}
-
id: 24524542
{'hecke_orbit_code': 4504767892029660, 'n': 169, 'trace_an': 0}
-
id: 24524543
{'hecke_orbit_code': 4504767892029660, 'n': 173, 'trace_an': -5}
-
id: 24524544
{'hecke_orbit_code': 4504767892029660, 'n': 179, 'trace_an': 30}
-
id: 24524545
{'hecke_orbit_code': 4504767892029660, 'n': 181, 'trace_an': -56}
-
id: 24524546
{'hecke_orbit_code': 4504767892029660, 'n': 191, 'trace_an': -35}
-
id: 24524547
{'hecke_orbit_code': 4504767892029660, 'n': 193, 'trace_an': 25}
-
id: 24524548
{'hecke_orbit_code': 4504767892029660, 'n': 197, 'trace_an': 0}
-
id: 24524549
{'hecke_orbit_code': 4504767892029660, 'n': 199, 'trace_an': 0}
-
id: 24524550
{'hecke_orbit_code': 4504767892029660, 'n': 211, 'trace_an': 2}
-
id: 24524551
{'hecke_orbit_code': 4504767892029660, 'n': 223, 'trace_an': -20}
-
id: 24524552
{'hecke_orbit_code': 4504767892029660, 'n': 227, 'trace_an': 19}
-
id: 24524553
{'hecke_orbit_code': 4504767892029660, 'n': 229, 'trace_an': -25}
-
id: 24524554
{'hecke_orbit_code': 4504767892029660, 'n': 233, 'trace_an': 40}
-
id: 24524555
{'hecke_orbit_code': 4504767892029660, 'n': 239, 'trace_an': -36}
-
id: 24524556
{'hecke_orbit_code': 4504767892029660, 'n': 241, 'trace_an': 0}
-
id: 24524557
{'hecke_orbit_code': 4504767892029660, 'n': 243, 'trace_an': 0}
-
id: 24524558
{'hecke_orbit_code': 4504767892029660, 'n': 251, 'trace_an': -15}
-
id: 24524559
{'hecke_orbit_code': 4504767892029660, 'n': 256, 'trace_an': -17}
-
id: 24524560
{'hecke_orbit_code': 4504767892029660, 'n': 257, 'trace_an': -12}
-
id: 24524561
{'hecke_orbit_code': 4504767892029660, 'n': 263, 'trace_an': -78}
-
id: 24524562
{'hecke_orbit_code': 4504767892029660, 'n': 269, 'trace_an': -20}
-
id: 24524563
{'hecke_orbit_code': 4504767892029660, 'n': 271, 'trace_an': 21}
-
id: 24524564
{'hecke_orbit_code': 4504767892029660, 'n': 277, 'trace_an': 80}
-
id: 24524565
{'hecke_orbit_code': 4504767892029660, 'n': 281, 'trace_an': 15}
-
id: 24524566
{'hecke_orbit_code': 4504767892029660, 'n': 283, 'trace_an': 17}
-
id: 24524567
{'hecke_orbit_code': 4504767892029660, 'n': 289, 'trace_an': 15}
-
id: 24524568
{'hecke_orbit_code': 4504767892029660, 'n': 293, 'trace_an': 25}
-
id: 24524569
{'hecke_orbit_code': 4504767892029660, 'n': 307, 'trace_an': 38}
-
id: 24524570
{'hecke_orbit_code': 4504767892029660, 'n': 311, 'trace_an': -20}
-
id: 24524571
{'hecke_orbit_code': 4504767892029660, 'n': 313, 'trace_an': -15}
-
id: 24524572
{'hecke_orbit_code': 4504767892029660, 'n': 317, 'trace_an': -63}
-
id: 24524573
{'hecke_orbit_code': 4504767892029660, 'n': 331, 'trace_an': 0}
-
id: 24524574
{'hecke_orbit_code': 4504767892029660, 'n': 337, 'trace_an': 50}
-
id: 24524575
{'hecke_orbit_code': 4504767892029660, 'n': 343, 'trace_an': -71}
-
id: 24524576
{'hecke_orbit_code': 4504767892029660, 'n': 347, 'trace_an': -4}
-
id: 24524577
{'hecke_orbit_code': 4504767892029660, 'n': 349, 'trace_an': -25}
-
id: 24524578
{'hecke_orbit_code': 4504767892029660, 'n': 353, 'trace_an': -2}
-
id: 24524579
{'hecke_orbit_code': 4504767892029660, 'n': 359, 'trace_an': -44}
-
id: 24524580
{'hecke_orbit_code': 4504767892029660, 'n': 361, 'trace_an': 45}
-
id: 24524581
{'hecke_orbit_code': 4504767892029660, 'n': 367, 'trace_an': 115}
-
id: 24524582
{'hecke_orbit_code': 4504767892029660, 'n': 373, 'trace_an': 0}
-
id: 24524583
{'hecke_orbit_code': 4504767892029660, 'n': 379, 'trace_an': 50}
-
id: 24524584
{'hecke_orbit_code': 4504767892029660, 'n': 383, 'trace_an': 45}
-
id: 24524585
{'hecke_orbit_code': 4504767892029660, 'n': 389, 'trace_an': 60}
-
id: 24524586
{'hecke_orbit_code': 4504767892029660, 'n': 397, 'trace_an': 56}
-
id: 24524587
{'hecke_orbit_code': 4504767892029660, 'n': 401, 'trace_an': -11}
-
id: 24524588
{'hecke_orbit_code': 4504767892029660, 'n': 409, 'trace_an': -40}
-
id: 24524589
{'hecke_orbit_code': 4504767892029660, 'n': 419, 'trace_an': 0}
-
id: 24524590
{'hecke_orbit_code': 4504767892029660, 'n': 421, 'trace_an': -61}
-
id: 24524591
{'hecke_orbit_code': 4504767892029660, 'n': 431, 'trace_an': 21}
-
id: 24524592
{'hecke_orbit_code': 4504767892029660, 'n': 433, 'trace_an': -31}
-
id: 24524593
{'hecke_orbit_code': 4504767892029660, 'n': 439, 'trace_an': 44}
-
id: 24524594
{'hecke_orbit_code': 4504767892029660, 'n': 443, 'trace_an': 5}
-
id: 24524595
{'hecke_orbit_code': 4504767892029660, 'n': 449, 'trace_an': 7}
-
id: 24524596
{'hecke_orbit_code': 4504767892029660, 'n': 457, 'trace_an': -20}
-
id: 24524597
{'hecke_orbit_code': 4504767892029660, 'n': 461, 'trace_an': 0}
-
id: 24524598
{'hecke_orbit_code': 4504767892029660, 'n': 463, 'trace_an': 0}
-
id: 24524599
{'hecke_orbit_code': 4504767892029660, 'n': 467, 'trace_an': 0}
-
id: 24524600
{'hecke_orbit_code': 4504767892029660, 'n': 479, 'trace_an': -13}
-
id: 24524601
{'hecke_orbit_code': 4504767892029660, 'n': 487, 'trace_an': 135}
-
id: 24524602
{'hecke_orbit_code': 4504767892029660, 'n': 491, 'trace_an': -85}
-
id: 24524603
{'hecke_orbit_code': 4504767892029660, 'n': 499, 'trace_an': -135}
-
id: 24524604
{'hecke_orbit_code': 4504767892029660, 'n': 503, 'trace_an': -52}
-
id: 24524605
{'hecke_orbit_code': 4504767892029660, 'n': 509, 'trace_an': 35}
-
id: 24524606
{'hecke_orbit_code': 4504767892029660, 'n': 512, 'trace_an': 95}
-
id: 24524607
{'hecke_orbit_code': 4504767892029660, 'n': 521, 'trace_an': 23}
-
id: 24524608
{'hecke_orbit_code': 4504767892029660, 'n': 523, 'trace_an': 27}
-
id: 24524609
{'hecke_orbit_code': 4504767892029660, 'n': 529, 'trace_an': -46}
-
id: 24524610
{'hecke_orbit_code': 4504767892029660, 'n': 541, 'trace_an': 120}
-
id: 24524611
{'hecke_orbit_code': 4504767892029660, 'n': 547, 'trace_an': 73}
-
id: 24524612
{'hecke_orbit_code': 4504767892029660, 'n': 557, 'trace_an': -45}
-
id: 24524613
{'hecke_orbit_code': 4504767892029660, 'n': 563, 'trace_an': -1}
-
id: 24524614
{'hecke_orbit_code': 4504767892029660, 'n': 569, 'trace_an': 30}
-
id: 24524615
{'hecke_orbit_code': 4504767892029660, 'n': 571, 'trace_an': -54}
-
id: 24524616
{'hecke_orbit_code': 4504767892029660, 'n': 577, 'trace_an': 83}
-
id: 24524617
{'hecke_orbit_code': 4504767892029660, 'n': 587, 'trace_an': -15}
-
id: 24524618
{'hecke_orbit_code': 4504767892029660, 'n': 593, 'trace_an': 0}
-
id: 24524619
{'hecke_orbit_code': 4504767892029660, 'n': 599, 'trace_an': -25}
-
id: 24524620
{'hecke_orbit_code': 4504767892029660, 'n': 601, 'trace_an': 15}
-
id: 24524621
{'hecke_orbit_code': 4504767892029660, 'n': 607, 'trace_an': 9}
-
id: 24524622
{'hecke_orbit_code': 4504767892029660, 'n': 613, 'trace_an': -60}
-
id: 24524623
{'hecke_orbit_code': 4504767892029660, 'n': 617, 'trace_an': 154}
-
id: 24524624
{'hecke_orbit_code': 4504767892029660, 'n': 619, 'trace_an': 45}
-
id: 24524625
{'hecke_orbit_code': 4504767892029660, 'n': 625, 'trace_an': -2}
-
id: 24524626
{'hecke_orbit_code': 4504767892029660, 'n': 631, 'trace_an': 110}
-
id: 24524627
{'hecke_orbit_code': 4504767892029660, 'n': 641, 'trace_an': -86}
-
id: 24524628
{'hecke_orbit_code': 4504767892029660, 'n': 643, 'trace_an': -35}
-
id: 24524629
{'hecke_orbit_code': 4504767892029660, 'n': 647, 'trace_an': -10}
-
id: 24524630
{'hecke_orbit_code': 4504767892029660, 'n': 653, 'trace_an': 28}
-
id: 24524631
{'hecke_orbit_code': 4504767892029660, 'n': 659, 'trace_an': -22}
-
id: 24524632
{'hecke_orbit_code': 4504767892029660, 'n': 661, 'trace_an': 0}
-
id: 24524633
{'hecke_orbit_code': 4504767892029660, 'n': 673, 'trace_an': -125}
-
id: 24524634
{'hecke_orbit_code': 4504767892029660, 'n': 677, 'trace_an': -10}
-
id: 24524635
{'hecke_orbit_code': 4504767892029660, 'n': 683, 'trace_an': 0}
-
id: 24524636
{'hecke_orbit_code': 4504767892029660, 'n': 691, 'trace_an': 55}
-
id: 24524637
{'hecke_orbit_code': 4504767892029660, 'n': 701, 'trace_an': 90}
-
id: 24524638
{'hecke_orbit_code': 4504767892029660, 'n': 709, 'trace_an': -17}
-
id: 24524639
{'hecke_orbit_code': 4504767892029660, 'n': 719, 'trace_an': 30}
-
id: 24524640
{'hecke_orbit_code': 4504767892029660, 'n': 727, 'trace_an': 0}
-
id: 24524641
{'hecke_orbit_code': 4504767892029660, 'n': 729, 'trace_an': 33}
-
id: 24524642
{'hecke_orbit_code': 4504767892029660, 'n': 733, 'trace_an': 10}
-
id: 24524643
{'hecke_orbit_code': 4504767892029660, 'n': 739, 'trace_an': 63}
-
id: 24524644
{'hecke_orbit_code': 4504767892029660, 'n': 743, 'trace_an': -38}
-
id: 24524645
{'hecke_orbit_code': 4504767892029660, 'n': 751, 'trace_an': -90}
-
id: 24524646
{'hecke_orbit_code': 4504767892029660, 'n': 757, 'trace_an': 8}
-
id: 24524647
{'hecke_orbit_code': 4504767892029660, 'n': 761, 'trace_an': -75}
-
id: 24524648
{'hecke_orbit_code': 4504767892029660, 'n': 769, 'trace_an': 0}
-
id: 24524649
{'hecke_orbit_code': 4504767892029660, 'n': 773, 'trace_an': -9}
-
id: 24524650
{'hecke_orbit_code': 4504767892029660, 'n': 787, 'trace_an': 130}
-
id: 24524651
{'hecke_orbit_code': 4504767892029660, 'n': 797, 'trace_an': 113}
-
id: 24524652
{'hecke_orbit_code': 4504767892029660, 'n': 809, 'trace_an': 30}
-
id: 24524653
{'hecke_orbit_code': 4504767892029660, 'n': 811, 'trace_an': -164}
-
id: 24524654
{'hecke_orbit_code': 4504767892029660, 'n': 821, 'trace_an': -225}
-
id: 24524655
{'hecke_orbit_code': 4504767892029660, 'n': 823, 'trace_an': -10}
-
id: 24524656
{'hecke_orbit_code': 4504767892029660, 'n': 827, 'trace_an': -59}
-
id: 24524657
{'hecke_orbit_code': 4504767892029660, 'n': 829, 'trace_an': -62}
-
id: 24524658
{'hecke_orbit_code': 4504767892029660, 'n': 839, 'trace_an': -5}
-
id: 24524659
{'hecke_orbit_code': 4504767892029660, 'n': 841, 'trace_an': -47}
-
id: 24524660
{'hecke_orbit_code': 4504767892029660, 'n': 853, 'trace_an': 55}
-
id: 24524661
{'hecke_orbit_code': 4504767892029660, 'n': 857, 'trace_an': 0}
-
id: 24524662
{'hecke_orbit_code': 4504767892029660, 'n': 859, 'trace_an': 0}
-
id: 24524663
{'hecke_orbit_code': 4504767892029660, 'n': 863, 'trace_an': -90}
-
id: 24524664
{'hecke_orbit_code': 4504767892029660, 'n': 877, 'trace_an': -250}
-
id: 24524665
{'hecke_orbit_code': 4504767892029660, 'n': 881, 'trace_an': -172}
-
id: 24524666
{'hecke_orbit_code': 4504767892029660, 'n': 883, 'trace_an': -55}
-
id: 24524667
{'hecke_orbit_code': 4504767892029660, 'n': 887, 'trace_an': -149}
-
id: 24524668
{'hecke_orbit_code': 4504767892029660, 'n': 907, 'trace_an': -140}
-
id: 24524669
{'hecke_orbit_code': 4504767892029660, 'n': 911, 'trace_an': 20}
-
id: 24524670
{'hecke_orbit_code': 4504767892029660, 'n': 919, 'trace_an': 50}
-
id: 24524671
{'hecke_orbit_code': 4504767892029660, 'n': 929, 'trace_an': 59}
-
id: 24524672
{'hecke_orbit_code': 4504767892029660, 'n': 937, 'trace_an': 35}
-
id: 24524673
{'hecke_orbit_code': 4504767892029660, 'n': 941, 'trace_an': 35}
-
id: 24524674
{'hecke_orbit_code': 4504767892029660, 'n': 947, 'trace_an': 0}
-
id: 24524675
{'hecke_orbit_code': 4504767892029660, 'n': 953, 'trace_an': -105}
-
id: 24524676
{'hecke_orbit_code': 4504767892029660, 'n': 961, 'trace_an': -88}
-
id: 24524677
{'hecke_orbit_code': 4504767892029660, 'n': 967, 'trace_an': -126}
-
id: 24524678
{'hecke_orbit_code': 4504767892029660, 'n': 971, 'trace_an': -35}
-
id: 24524679
{'hecke_orbit_code': 4504767892029660, 'n': 977, 'trace_an': -139}
-
id: 24524680
{'hecke_orbit_code': 4504767892029660, 'n': 983, 'trace_an': 50}
-
id: 24524681
{'hecke_orbit_code': 4504767892029660, 'n': 991, 'trace_an': 0}
-
id: 24524682
{'hecke_orbit_code': 4504767892029660, 'n': 997, 'trace_an': -245}