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mf_newforms • Show schema
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{'Nk2': 1604, 'analytic_conductor': 3.2020011210533434, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[401, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [401, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 84848471334096269, 'field_disc_factorization': [[293, 2], [811, 1], [1218675071, 1]], 'field_poly': [4, 22, -5, -130, 1, 203, -24, -129, 29, 34, -10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [4, -22, -5, 130, 1, -203, -24, 129, 29, -34, -10, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554833, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '401.2.a.a', 'level': 401, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [401], 'level_radical': 401, 'minimal_twist': '401.2.a.a', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{9}q^{3}+(\\beta _{2}+\\beta _{3})q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '401.2.a', 'trace_display': [-3, -5, -7, -20], 'trace_hash': 1626014219584307676, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.704', 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'ALdims': [12, 21], 'Nk2': 1604, 'analytic_conductor': 3.2020011210533434, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [401, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 33, 'dim': 33, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554833, 'hecke_orbit_dims': [12, 21], 'label': '401.2.a', 'level': 401, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [401], 'level_radical': 401, 'mf_dim': 34, 'mf_new_dim': 34, 'num_forms': 2, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 33, 'sturm_bound': 67, 'trace_bound': 1, 'trace_display': [-3, -2, -4, 4], 'traces': [33, -3, -2, 33, -4, 0, 4, -3, 23, -4, -10, -16, -2, -14, -10, 21, 0, -11, 4, -4, -2, 2, -4, 12, 33, 4, 4, 2, -10, 2, 18, 1, -4, 8, 24, 31, 6, 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mf_twists_cc • Show schema
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id: 8176
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 33554833, 'source_is_minimal': True, 'source_label': '401.2.a.a.1.9', 'source_level': 401, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 33554833, 'target_is_minimal': True, 'target_label': '401.2.a.a.1.9', 'target_level': 401, 'twist_class_label': '401.2.a.a.1.9', 'twist_class_level': 401, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 8177
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 33554833, 'source_is_minimal': True, 'source_label': '401.2.a.a.1.9', 'source_level': 401, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503599660928537, 'target_is_minimal': False, 'target_label': '3609.2.a.b.1.4', 'target_level': 3609, 'twist_class_label': '401.2.a.a.1.9', 'twist_class_level': 401, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 8178
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 9, 'source_hecke_orbit_code': 33554833, 'source_is_minimal': True, 'source_label': '401.2.a.a.1.9', 'source_level': 401, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307265808, 'target_is_minimal': False, 'target_label': '6416.2.a.k.1.4', 'target_level': 6416, 'twist_class_label': '401.2.a.a.1.9', 'twist_class_level': 401, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 841325
{'charpoly_factorization': [[[4, -22, -5, 130, 1, -203, -24, 129, 29, -34, -10, 3, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 2}
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id: 841326
{'charpoly_factorization': [[[-16, 0, 136, 54, -363, -258, 270, 249, -33, -66, -7, 5, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 3}
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id: 841327
{'charpoly_factorization': [[[-79, -1552, 1412, 3042, -1980, -2355, 869, 880, -93, -142, -9, 7, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 5}
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id: 841328
{'charpoly_factorization': [[[2657, 32396, 81306, 83664, 30845, -11740, -15538, -5172, 46, 516, 155, 20, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 7}
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id: 841329
{'charpoly_factorization': [[[41849, 217928, 224591, -29312, -119209, -24578, 17916, 5973, -829, -451, -9, 11, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 11}
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id: 841330
{'charpoly_factorization': [[[-272, -9160, 21668, 49694, -42795, -23718, 13008, 5361, -1050, -534, -17, 11, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 13}
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id: 841331
{'charpoly_factorization': [[[-4208, -50160, 1298720, 1675476, 415711, -209114, -89196, 6149, 5148, -2, -121, -1, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 17}
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id: 841332
{'charpoly_factorization': [[[-201104, -903064, -272144, 2546716, 1906971, 84129, -293988, -97941, -7744, 1688, 417, 34, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 19}
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id: 841333
{'charpoly_factorization': [[[23888, 63728, -146416, -202166, 248385, -8507, -44773, 5816, 2960, -394, -85, 7, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 23}
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id: 841334
{'charpoly_factorization': [[[-522688447, -412347675, 43217182, 76961514, 4448340, -4893024, -533648, 132163, 17728, -1508, -228, 6, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 29}
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id: 841335
{'charpoly_factorization': [[[69618448, 23409024, -137314392, -172028322, -92824833, -27316223, -4308855, -198713, 54822, 12072, 1115, 52, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 31}
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id: 841336
{'charpoly_factorization': [[[-74838512, 621833224, -477097304, -85783276, 47892517, 4081411, -1849772, -87011, 34221, 844, -301, -3, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 37}
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id: 841337
{'charpoly_factorization': [[[-24965557, -57467464, -24127082, 19990006, 8608985, -3668473, -390024, 159419, 9530, -2691, -149, 16, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 41}
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id: 841338
{'charpoly_factorization': [[[-32571323, -19691281, 49181240, -11356293, -9117698, 4744964, -509519, -101685, 21511, 411, -251, 2, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 43}
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id: 841339
{'charpoly_factorization': [[[-120470771, 142253344, 11172032, -52942012, 8627876, 4940655, -1304936, -59066, 33338, -214, -314, 3, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 47}
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id: 841340
{'charpoly_factorization': [[[3460081936, 4628246640, 897527072, -501885622, -85310423, 26926965, 1809518, -674841, 3547, 6397, -239, -19, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 53}
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id: 841341
{'charpoly_factorization': [[[-49673523056, -35010624296, -3901745472, 1797452684, 340006103, -33358492, -8547076, 271537, 96824, -936, -509, 1, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 59}
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id: 841342
{'charpoly_factorization': [[[-45635056, -43276448, 46054744, 32248994, -10584365, -3415805, 601250, 152823, -11012, -3146, 7, 24, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 61}
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id: 841343
{'charpoly_factorization': [[[-429818624, -632751104, -225348512, 53493380, 37626159, 760893, -1729203, -97366, 35059, 1621, -330, -6, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 67}
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id: 841344
{'charpoly_factorization': [[[2314277776, -1196955656, -589656056, 271766088, 50905581, -16970198, -1885130, 414833, 33108, -4194, -289, 15, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 71}
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id: 841345
{'charpoly_factorization': [[[-10554352, -47301040, -30522957, 24984661, 6642231, -3692062, -394666, 200084, 6904, -3511, -126, 20, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 73}
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id: 841346
{'charpoly_factorization': [[[-19238224, -267859272, 346780732, -85585322, -35319737, 12172289, 1564361, -441455, -59719, 3537, 928, 53, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 79}
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id: 841347
{'charpoly_factorization': [[[-3709520128, 9903099136, 760637440, -1545649356, -47042321, 69863748, -1050772, -1183271, 46758, 7896, -413, -17, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 83}
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id: 841348
{'charpoly_factorization': [[[291613788629, 21707766742, -48293128619, -213977262, 1795772673, -2227644, -27859454, 49267, 209483, -357, -749, 1, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 89}
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id: 841349
{'charpoly_factorization': [[[-9379281712, 17887916920, 5858531128, -2704491096, -249960073, 134554478, -3228466, -1871041, 109025, 8426, -619, -12, 1], 1]], 'hecke_orbit_code': 33554833, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '401.2.a.a', 'level': 401, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 98556
{'hecke_orbit_code': 33554833, 'n': 1, 'trace_an': 12}
-
id: 98557
{'hecke_orbit_code': 33554833, 'n': 2, 'trace_an': -3}
-
id: 98558
{'hecke_orbit_code': 33554833, 'n': 3, 'trace_an': -5}
-
id: 98559
{'hecke_orbit_code': 33554833, 'n': 4, 'trace_an': 5}
-
id: 98560
{'hecke_orbit_code': 33554833, 'n': 5, 'trace_an': -7}
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id: 98561
{'hecke_orbit_code': 33554833, 'n': 6, 'trace_an': -9}
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id: 98562
{'hecke_orbit_code': 33554833, 'n': 7, 'trace_an': -20}
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id: 98563
{'hecke_orbit_code': 33554833, 'n': 8, 'trace_an': -3}
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id: 98564
{'hecke_orbit_code': 33554833, 'n': 9, 'trace_an': 3}
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id: 98565
{'hecke_orbit_code': 33554833, 'n': 10, 'trace_an': -11}
-
id: 98566
{'hecke_orbit_code': 33554833, 'n': 11, 'trace_an': -11}
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id: 98567
{'hecke_orbit_code': 33554833, 'n': 12, 'trace_an': -9}
-
id: 98568
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id: 98577
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id: 98579
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id: 98580
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id: 98581
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id: 98582
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id: 98583
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id: 98584
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id: 98585
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id: 98586
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id: 98587
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id: 98588
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id: 98589
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id: 98590
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id: 98591
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id: 98592
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id: 98593
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id: 98594
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id: 98595
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id: 98596
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id: 98597
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id: 98598
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id: 98599
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id: 98600
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id: 98601
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id: 98602
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id: 98603
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id: 98604
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id: 98605
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id: 98606
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id: 98607
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id: 98608
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id: 98609
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id: 98610
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id: 98611
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id: 98612
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id: 98613
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id: 98614
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id: 98615
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id: 98616
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id: 98617
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id: 98618
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id: 98619
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id: 98620
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id: 98621
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id: 98622
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id: 98623
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id: 98624
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id: 98625
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id: 98626
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id: 98627
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id: 98628
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id: 98629
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id: 98630
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id: 98631
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id: 98632
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id: 98633
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id: 98634
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id: 98635
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id: 98636
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id: 98637
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id: 98639
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id: 98640
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id: 98641
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id: 98642
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id: 98643
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id: 98644
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id: 98645
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id: 98646
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id: 98647
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id: 98648
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id: 98649
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id: 98650
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id: 98651
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id: 98652
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id: 98653
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id: 98654
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id: 98655
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id: 98656
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id: 98657
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id: 98658
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id: 98659
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id: 98660
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id: 98661
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id: 98662
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id: 98663
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id: 98664
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id: 98665
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id: 98666
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id: 98667
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id: 98668
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id: 98670
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id: 98671
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id: 98672
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id: 98673
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id: 98674
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id: 98675
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id: 98676
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id: 98677
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id: 98678
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id: 98679
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id: 98680
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id: 98681
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id: 98682
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id: 98683
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id: 98684
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id: 98685
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id: 98686
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id: 98687
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id: 98688
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id: 98689
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id: 98690
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id: 98691
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id: 98692
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id: 98693
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id: 98694
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id: 98695
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id: 98696
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id: 98697
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id: 98698
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id: 98699
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id: 98700
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id: 98701
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id: 98702
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id: 98703
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id: 98704
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id: 98705
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id: 98706
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id: 98707
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id: 98708
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id: 98709
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id: 98710
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-
id: 98787
{'hecke_orbit_code': 33554833, 'n': 827, 'trace_an': 21}
-
id: 98788
{'hecke_orbit_code': 33554833, 'n': 829, 'trace_an': 25}
-
id: 98789
{'hecke_orbit_code': 33554833, 'n': 839, 'trace_an': 73}
-
id: 98790
{'hecke_orbit_code': 33554833, 'n': 841, 'trace_an': 144}
-
id: 98791
{'hecke_orbit_code': 33554833, 'n': 853, 'trace_an': 43}
-
id: 98792
{'hecke_orbit_code': 33554833, 'n': 857, 'trace_an': 88}
-
id: 98793
{'hecke_orbit_code': 33554833, 'n': 859, 'trace_an': 47}
-
id: 98794
{'hecke_orbit_code': 33554833, 'n': 863, 'trace_an': -47}
-
id: 98795
{'hecke_orbit_code': 33554833, 'n': 877, 'trace_an': -11}
-
id: 98796
{'hecke_orbit_code': 33554833, 'n': 881, 'trace_an': -53}
-
id: 98797
{'hecke_orbit_code': 33554833, 'n': 883, 'trace_an': 58}
-
id: 98798
{'hecke_orbit_code': 33554833, 'n': 887, 'trace_an': -213}
-
id: 98799
{'hecke_orbit_code': 33554833, 'n': 907, 'trace_an': 145}
-
id: 98800
{'hecke_orbit_code': 33554833, 'n': 911, 'trace_an': -1}
-
id: 98801
{'hecke_orbit_code': 33554833, 'n': 919, 'trace_an': -11}
-
id: 98802
{'hecke_orbit_code': 33554833, 'n': 929, 'trace_an': 50}
-
id: 98803
{'hecke_orbit_code': 33554833, 'n': 937, 'trace_an': 4}
-
id: 98804
{'hecke_orbit_code': 33554833, 'n': 941, 'trace_an': -174}
-
id: 98805
{'hecke_orbit_code': 33554833, 'n': 947, 'trace_an': -64}
-
id: 98806
{'hecke_orbit_code': 33554833, 'n': 953, 'trace_an': -44}
-
id: 98807
{'hecke_orbit_code': 33554833, 'n': 961, 'trace_an': 102}
-
id: 98808
{'hecke_orbit_code': 33554833, 'n': 967, 'trace_an': -91}
-
id: 98809
{'hecke_orbit_code': 33554833, 'n': 971, 'trace_an': 136}
-
id: 98810
{'hecke_orbit_code': 33554833, 'n': 977, 'trace_an': -119}
-
id: 98811
{'hecke_orbit_code': 33554833, 'n': 983, 'trace_an': 46}
-
id: 98812
{'hecke_orbit_code': 33554833, 'n': 991, 'trace_an': -12}
-
id: 98813
{'hecke_orbit_code': 33554833, 'n': 997, 'trace_an': -22}