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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -3, 1]], [7, [-11, -1, 1]], [13, [11, 8, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519972144, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4400.2.a.bv', 'level': 4400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '275.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(2-3\\beta )q^{7}+(-1+3\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.a', 'trace_display': [0, 3, 0, 1], 'trace_hash': 1103921239523488661, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.963', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.654', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [2, -3], [0, 0], [-1, 3], [0, 0], [-1, 0], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [-3, 6], [0, 0], [-1, -4], [0, 0], [4, -5], [0, 0], [0, 0], [0, 0], [-1, 2], [0, 0], [-3, 1], [0, 0], [3, 0], [0, 0], [-1, -1], [0, 0], [0, 0], [0, 0], [-7, -2], [0, 0], [-5, -7], [0, 0], [-3, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [-1, 8], [0, 0], [6, -3], [0, 0], [0, 1], [0, 0], [2, -7], [0, 0], [0, 0], [0, 0], [3, 9], [0, 0], [-7, 4], [0, 0], [-8, 5], [0, 0], [-11, 0], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [-1, -6], [0, 0], [8, -10], [0, 0], [-12, 1], [0, 0], [0, 0], [0, 0], [-2, 3], [0, 0], [-1, -3], [0, 0], [4, -6], [0, 0], [-15, 3], [0, 0], [0, 0], [0, 0], [-2, -1], [0, 0], [-15, 5], [0, 0], [0, 11], [0, 0], [3, 3], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [1, -3], [0, 0]], 'ap': [[0, 0], [1, 1], [0, 0], [2, -3], [-1, 0], [-3, -2], [-1, 1], [-3, 6], [4, -5], [-3, 1], [3, 0], [-7, -2], [-3, 0], [-6, 0], [-1, 8], [2, 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-5], [40, -60], [-26, -11], [-34, -21], [-81, 36], [-51, 12], [-47, 0], [-24, 62], [-13, -10], [8, -48], [62, -14], [-45, 57], [-43, 50], [15, -2], [28, 35], [6, -8], [47, -10], [-73, -4], [31, -21], [33, 18], [79, 5], [-21, -38], [-75, 24], [-27, 50], [-61, 32], [-40, 42], [0, 24], [-18, 4], [25, -65], [18, -60], [23, -71]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 211669182519972144, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4400.2.a.bv', 'level': 4400, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, -1], [11, 1]], 15, 6], [[[2, 1], [5, 1], [11, -1]], 13, 8], [[[2, -1], [5, -1], [11, -1]], 13, 8], [[[2, 1], [5, -1], [11, -1]], 9, 6], [[[2, -1], [5, 1], [11, 1]], 11, 8], [[[2, -1], [5, -1], [11, 1]], 13, 8], [[[2, 1], [5, 1], [11, 1]], 10, 5], [[[2, -1], [5, 1], [11, -1]], 11, 8]], 'ALdims': [10, 13, 15, 9, 11, 11, 13, 13], 'Nk2': 17600, 'analytic_conductor': 35.13417688936337, '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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 95, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33558832, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4400.2.a', 'level': 4400, 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mf_twists_nf • Show schema
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id: 1203962
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '275.2.a.d', 'target_level': 275, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203963
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '275.2.a.g', 'target_level': 275, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1203964
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '275.2.b.e', 'target_level': 275, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1203965
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2475.2.a.n', 'target_level': 2475, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1203966
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2475.2.a.s', 'target_level': 2475, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203967
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2475.2.c.p', 'target_level': 2475, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1203968
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3025.2.a.i', 'target_level': 3025, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1203969
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3025.2.a.m', 'target_level': 3025, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1203970
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '4400.2.a.bg', 'target_level': 4400, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1203971
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '4400.2.a.bv', 'target_level': 4400, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1203972
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '4400.2.a.bv', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4400.2.b.x', 'target_level': 4400, 'twist_class_label': '275.2.a.d', 'twist_class_level': 275, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3588875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 2}
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id: 3588876
{'charpoly_factorization': [[[1, -3, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 3}
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id: 3588877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 5}
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id: 3588878
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 7}
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id: 3588879
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 11}
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id: 3588880
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 13}
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id: 3588881
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 17}
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id: 3588882
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 19}
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id: 3588883
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 23}
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id: 3588884
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 29}
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id: 3588885
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 31}
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id: 3588886
{'charpoly_factorization': [[[59, 16, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 37}
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id: 3588887
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 41}
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id: 3588888
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 43}
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id: 3588889
{'charpoly_factorization': [[[-71, -6, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 47}
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id: 3588890
{'charpoly_factorization': [[[-59, 3, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 53}
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id: 3588891
{'charpoly_factorization': [[[5, 10, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 59}
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id: 3588892
{'charpoly_factorization': [[[-1, 11, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 61}
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id: 3588893
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 211669182519972144, 'p': 67}
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id: 3588894
{'charpoly_factorization': [[[-116, -6, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 71}
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id: 3588895
{'charpoly_factorization': [[[131, 23, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 73}
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id: 3588896
{'charpoly_factorization': [[[-5, 5, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 79}
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id: 3588897
{'charpoly_factorization': [[[171, 27, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 83}
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id: 3588898
{'charpoly_factorization': [[[125, 25, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 89}
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id: 3588899
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 211669182519972144, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '4400.2.a.bv', 'level': 4400, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276499000
{'hecke_orbit_code': 211669182519972144, 'n': 1, 'trace_an': 2}
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id: 276499001
{'hecke_orbit_code': 211669182519972144, 'n': 2, 'trace_an': 0}
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id: 276499002
{'hecke_orbit_code': 211669182519972144, 'n': 3, 'trace_an': 3}
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id: 276499003
{'hecke_orbit_code': 211669182519972144, 'n': 4, 'trace_an': 0}
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id: 276499004
{'hecke_orbit_code': 211669182519972144, 'n': 5, 'trace_an': 0}
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id: 276499005
{'hecke_orbit_code': 211669182519972144, 'n': 6, 'trace_an': 0}
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id: 276499006
{'hecke_orbit_code': 211669182519972144, 'n': 7, 'trace_an': 1}
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id: 276499007
{'hecke_orbit_code': 211669182519972144, 'n': 8, 'trace_an': 0}
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id: 276499008
{'hecke_orbit_code': 211669182519972144, 'n': 9, 'trace_an': 1}
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id: 276499009
{'hecke_orbit_code': 211669182519972144, 'n': 10, 'trace_an': 0}
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id: 276499010
{'hecke_orbit_code': 211669182519972144, 'n': 11, 'trace_an': -2}
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id: 276499011
{'hecke_orbit_code': 211669182519972144, 'n': 12, 'trace_an': 0}
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id: 276499012
{'hecke_orbit_code': 211669182519972144, 'n': 13, 'trace_an': -8}
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id: 276499013
{'hecke_orbit_code': 211669182519972144, 'n': 14, 'trace_an': 0}
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id: 276499014
{'hecke_orbit_code': 211669182519972144, 'n': 15, 'trace_an': 0}
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id: 276499015
{'hecke_orbit_code': 211669182519972144, 'n': 16, 'trace_an': 0}
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