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{'Nk2': 11172, 'analytic_conductor': 22.302217284543612, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [19, 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': [2793, 1, [932, 2110, 2206], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1957, 'field_disc_factorization': [[19, 1], [103, 1]], 'field_poly': [1, -1, -4, 0, 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, [1, 1, -4, 0, 1]], [5, [3, -7, 0, 4, 1]], [11, [1, 27, -22, 2, 1]], [13, [-141, -107, -10, 6, 1]], [17, [47, 18, -16, -2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227301609, 'hecke_ring_generator_nbound': 2, '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': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2793.2.a.bd', 'level': 2793, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '399.2.j.d', 'nf_label': '4.4.1957.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2793.2.a', 'trace_display': [0, 4, -4, 0], 'trace_hash': 1583475509202161596, 'trace_moments': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [14, 14, 15, 18, 18, 10, 12, 21], 'Nk2': 11172, 'analytic_conductor': 22.302217284543612, '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': [2793, 1, [932, 2110, 2206], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 357, 'dim': 122, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 13, 17], 'hecke_orbit_code': 33557225, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8], 'label': '2793.2.a', 'level': 2793, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 388, 'mf_new_dim': 122, 'num_forms': 40, 'plus_dim': 54, 'prim_orbit_index': 1, 'relative_dim': 122, 'sturm_bound': 746, 'trace_bound': 5, 'trace_display': [2, 0, -6, 0], 'traces': [122, 2, 0, 124, -6, 2, 0, 6, 122, -8, 6, -8, -12, 0, 4, 136, -18, 2, 4, 4, 0, 16, 12, 18, 116, 4, 0, 0, 8, 4, -4, 14, 8, 24, 0, 124, 16, 0, -16, 12, -12, 0, -14, 56, -6, 52, 2, 0, 0, -14, 12, 24, -56, 2, 30, 0, -2, -40, 16, 32, -14, 40, 0, 176, -84, -12, 24, -12, 4, 0, 48, 6, -18, -4, -8, 10, 0, 20, -24, 88, 122, 56, 20, 0, -54, -68, 20, -36, -40, -8, 0, -52, -16, 24, 2, 58, 28, 0, 6, 208, -28, 44, -12, 52, 0, -144, -12, -8, -16, 44, -8, 0, -56, -4, 24, -156, -12, 32, 0, 12, 120, 24, 12, 48, -18, 0, 60, -26, -48, -40, -14, -12, 0, 72, 4, -44, 22, 12, -22, 0, 0, -168, 20, 136, -52, -104, 0, 120, -82, -10, 64, -12, -18, 0, 44, -8, -4, -104, 20, -20, 0, 2, 80, -76, -8, 28, 20, 0, 102, -116, 4, -12, -32, 40, 0, -60, 40, -16, 132, 4, -116, 0, -24, 228, -104, 16, 34, 88, 0, 12, 78, -8, 8, -60, 40, 0, -204, 16, 58, -94, -16, -36, 0, 24, -224, -152, 12, 48, 10, 0, 136, -180, -8, 32, 70, 18, 0, -60, 32, -12, -188, -4, -16, 0, 116, -48, -20, -6, 62, 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224, 54, 212, -28, 0, 168, -16, -64, 208, 84, 216, 0, 224, -436, -184, 172, -8, -28, 0, 316, 2, -48, -248, -212, 36, 0, 44, -424, 136, 48, 136, -56, 0, 248, 508, -12, -152, -132, 128, 0, -124, 48, 48, -166, 52, -114, 0, 112, -100, 8, 228, -88, -312, 0, -108, -156, -72, 260, -92, 12, 0, -524, -144, 6, 96, 88, -132, 0, 208, 474, -344, -12, -96, 56, 0, -32, -90, 8, 64, 8, -8, 0, 376, 136, 16, 208, -88, -212, 0, -16, 388, -120, -160, -228, 128, 0, 4, 188, 44, 344, 240, 40, 0, -202, 212, 270, 356, -8, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1000036
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '399.2.j.d', 'target_level': 399, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1000037
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1197.2.j.k', 'target_level': 1197, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1000038
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '2793.2.a.bc', 'target_level': 2793, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1000039
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2793.2.a.bd', 'target_level': 2793, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1000040
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8379.2.a.br', 'target_level': 8379, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1000041
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2793.2.a.bd', 'source_level': 2793, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '8379.2.a.bt', 'target_level': 8379, 'twist_class_label': '399.2.j.d', 'twist_class_level': 399, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2853975
{'charpoly_factorization': [[[1, 1, -4, 0, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 2}
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id: 2853976
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 130604389227301609, 'p': 3}
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id: 2853977
{'charpoly_factorization': [[[3, -7, 0, 4, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 5}
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id: 2853978
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 130604389227301609, 'p': 7}
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id: 2853979
{'charpoly_factorization': [[[1, 27, -22, 2, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 11}
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id: 2853980
{'charpoly_factorization': [[[-141, -107, -10, 6, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 13}
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id: 2853981
{'charpoly_factorization': [[[47, 18, -16, -2, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 17}
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id: 2853982
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 130604389227301609, 'p': 19}
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id: 2853983
{'charpoly_factorization': [[[-9, 8, 4, -5, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 23}
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id: 2853984
{'charpoly_factorization': [[[303, -94, -41, 4, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 29}
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id: 2853985
{'charpoly_factorization': [[[-987, -211, 59, 17, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 31}
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id: 2853986
{'charpoly_factorization': [[[31, -35, -21, 3, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 37}
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id: 2853987
{'charpoly_factorization': [[[-43, -335, -47, 7, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 41}
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id: 2853988
{'charpoly_factorization': [[[-301, -5, 61, 15, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 43}
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id: 2853989
{'charpoly_factorization': [[[-3527, -1008, -10, 16, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 47}
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id: 2853990
{'charpoly_factorization': [[[651, 71, -94, -4, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 53}
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id: 2853991
{'charpoly_factorization': [[[-961, -323, 33, 17, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 59}
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id: 2853992
{'charpoly_factorization': [[[487, 139, -49, -9, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 61}
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id: 2853993
{'charpoly_factorization': [[[1487, -180, -76, 5, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 67}
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id: 2853994
{'charpoly_factorization': [[[-47, 43, 0, -6, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 71}
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id: 2853995
{'charpoly_factorization': [[[-2477, -800, -10, 15, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 73}
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id: 2853996
{'charpoly_factorization': [[[17931, 691, -289, -5, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 79}
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id: 2853997
{'charpoly_factorization': [[[2733, 1789, 392, 34, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 83}
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id: 2853998
{'charpoly_factorization': [[[18133, 493, -295, -3, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 89}
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id: 2853999
{'charpoly_factorization': [[[1451, -514, -56, 11, 1], 1]], 'hecke_orbit_code': 130604389227301609, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '2793.2.a.bd', 'level': 2793, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68179573
{'hecke_orbit_code': 130604389227301609, 'n': 1, 'trace_an': 4}
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id: 68179574
{'hecke_orbit_code': 130604389227301609, 'n': 2, 'trace_an': 0}
-
id: 68179575
{'hecke_orbit_code': 130604389227301609, 'n': 3, 'trace_an': 4}
-
id: 68179576
{'hecke_orbit_code': 130604389227301609, 'n': 4, 'trace_an': 0}
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id: 68179577
{'hecke_orbit_code': 130604389227301609, 'n': 5, 'trace_an': -4}
-
id: 68179578
{'hecke_orbit_code': 130604389227301609, 'n': 6, 'trace_an': 0}
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id: 68179579
{'hecke_orbit_code': 130604389227301609, 'n': 7, 'trace_an': 0}
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id: 68179580
{'hecke_orbit_code': 130604389227301609, 'n': 8, 'trace_an': -3}
-
id: 68179581
{'hecke_orbit_code': 130604389227301609, 'n': 9, 'trace_an': 4}
-
id: 68179582
{'hecke_orbit_code': 130604389227301609, 'n': 10, 'trace_an': 3}
-
id: 68179583
{'hecke_orbit_code': 130604389227301609, 'n': 11, 'trace_an': -2}
-
id: 68179584
{'hecke_orbit_code': 130604389227301609, 'n': 12, 'trace_an': 0}
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id: 68179585
{'hecke_orbit_code': 130604389227301609, 'n': 13, 'trace_an': -6}
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id: 68179586
{'hecke_orbit_code': 130604389227301609, 'n': 14, 'trace_an': 0}
-
id: 68179587
{'hecke_orbit_code': 130604389227301609, 'n': 15, 'trace_an': -4}
-
id: 68179588
{'hecke_orbit_code': 130604389227301609, 'n': 16, 'trace_an': -4}
-
id: 68179589
{'hecke_orbit_code': 130604389227301609, 'n': 17, 'trace_an': 2}
-
id: 68179590
{'hecke_orbit_code': 130604389227301609, 'n': 18, 'trace_an': 0}
-
id: 68179591
{'hecke_orbit_code': 130604389227301609, 'n': 19, 'trace_an': -4}
-
id: 68179592
{'hecke_orbit_code': 130604389227301609, 'n': 20, 'trace_an': -12}
-
id: 68179593
{'hecke_orbit_code': 130604389227301609, 'n': 21, 'trace_an': 0}
-
id: 68179594
{'hecke_orbit_code': 130604389227301609, 'n': 22, 'trace_an': -6}
-
id: 68179595
{'hecke_orbit_code': 130604389227301609, 'n': 23, 'trace_an': 5}
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id: 68179596
{'hecke_orbit_code': 130604389227301609, 'n': 24, 'trace_an': -3}
-
id: 68179597
{'hecke_orbit_code': 130604389227301609, 'n': 25, 'trace_an': -4}
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id: 68179598
{'hecke_orbit_code': 130604389227301609, 'n': 26, 'trace_an': 6}
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id: 68179599
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id: 68179798
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id: 68179799
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id: 68179800
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id: 68179801
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id: 68179802
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id: 68179803
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id: 68179804
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id: 68179805
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id: 68179806
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id: 68179807
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id: 68179808
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id: 68179809
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id: 68179810
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id: 68179811
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id: 68179812
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id: 68179813
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id: 68179814
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id: 68179815
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id: 68179816
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id: 68179817
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id: 68179818
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id: 68179819
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id: 68179820
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id: 68179821
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id: 68179822
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id: 68179823
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id: 68179824
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id: 68179825
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id: 68179826
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id: 68179827
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id: 68179828
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id: 68179829
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id: 68179830
{'hecke_orbit_code': 130604389227301609, 'n': 997, 'trace_an': -27}