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{'Nk2': 17640, 'analytic_conductor': 35.214027291384646, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [7, -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': [4410, 1, [3431, 2647, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[11, [-2, 1]], [13, [2, 1]], [17, [2, 1]], [19, [6, 1]], [29, [0, 1]], [31, [-2, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972562234, 'hecke_ring_generator_nbound': 1, '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': True, 'label': '4410.2.a.bb', 'level': 4410, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '4410.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/4410/bb'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4410.2.a', 'trace_display': [1, 0, -1, 0], 'trace_hash': 540446549671743787, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.019', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [1, 1, 0, 1, -1, 0, 0, 1, 0, -1, 2, 0, -2, 0, 0, 1, -2, 0, -6, -1, 0, 2, -4, 0, 1, -2, 0, 0, 0, 0, 2, 1, 0, -2, 0, 0, 2, -6, 0, -1, -10, 0, -8, 2, 0, -4, 8, 0, 0, 1, 0, -2, -2, 0, -2, 0, 0, 0, -4, 0, -8, 2, 0, 1, 2, 0, -4, -2, 0, 0, 6, 0, 2, 2, 0, -6, 0, 0, -8, -1, 0, -10, -4, 0, 2, -8, 0, 2, 10, 0, 0, -4, 0, 8, 6, 0, -18, 0, 0, 1, 2, 0, -16, -2, 0, -2, 0, 0, 10, -2, 0, 0, -2, 0, 4, 0, 0, -4, 0, 0, -7, -8, 0, 2, -1, 0, 12, 1, 0, 2, 12, 0, 0, -4, 0, -2, -14, 0, -14, 0, 0, 6, -4, 0, 0, 2, 0, 2, 20, 0, 0, -6, 0, 0, -2, 0, 10, -8, 0, -1, 0, 0, 8, -10, 0, -4, -12, 0, -9, 2, 0, -8, 6, 0, 0, 2, 0, 10, 10, 0, -20, 0, 0, -4, -2, 0, -4, 8, 0, 6, -6, 0, -6, -18, 0, 0, -6, 0, 2, 1, 0, 2, 0, 0, 10, -16, 0, -2, -12, 0, -4, -2, 0, 0, 8, 0, 0, 10, 0, -2, 4, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [-1], [0], [0], [1], [0], [-1], [2], [0], [-2], [0], [0], [1], [-2], [0], [-6], [-1], [0], [2], [-4], [0], [1], [-2], [0], [0], [0], [0], [2], [1], [0], [-2], [0], [0], [2], [-6], [0], [-1], [-10], [0], [-8], [2], [0], [-4], [8], [0], [0], [1], [0], [-2], [-2], [0], [-2], [0], [0], [0], [-4], [0], [-8], [2], [0], [1], [2], [0], [-4], [-2], [0], [0], [6], [0], [2], [2], [0], [-6], [0], [0], [-8], [-1], [0], [-10], [-4], [0], [2], [-8], [0], [2], [10], [0], [0], [-4], [0], [8], [6], [0], [-18], [0], [0], [1]], 'ap': [[1], [0], [-1], [0], [2], [-2], [-2], [-6], [-4], [0], [2], [2], [-10], [-8], [8], [-2], [-4], [-8], [-4], [6], [2], [-8], [-4], [10], [-18], [2], [-16], [0], [10], [-2], [12], [12], [-14], [-14], [20], [0], [10], [8], [-12], [6], [10], [-20], [-6], [-6], [-6], [2], [-4], [-28], [12], [-16], [-26], [-26], [20], [20], [-6], [-24], [22], [-10], [2], [20], [8], [-18], [-4], [8], [14], [6], [-4], [34], [-4], [-16], [30], [34], [4], [-18], [-28], [28], [36], [-26], [-32], [8], [12], [26], [-18], [22], [26], [-20], [0], [30], [-18], [-20], [28], [8], [-20], [18], [4], [36], [-18], [18], [-20], [2], [28], [6], [24], [40], [36], [-34], [40], [-10], [26], [-4], [4], [-14], [-18], [18], [16], [-12], [12], [-28], [-46], [-34], [-16], [-26], [-2], [-36], [46], [-32], [-42], [48], [28], [30], [36], [24], [-8], [-2], [-6], [44], [-18], [-12], [-50], [44], [34], [0], [-52], [32], [-44], [0], [-2], [42], [22], [-36], [18], [-2], [-20], [8], [4], [-14], [8], [-30], [18], [-14], [-36], [14], [32], [44], [-42], [-56], [0], [54], [34], [-34], [42], [28], [-18], [-30], [-10], [-54], [20], [-52], [52], [44], [-56], [60], [-26], [-18], [-16], [-6], [26], [-4], [-18], [-48], [-18], [24], [-12], [-18], [52], [-18], [34], [46], [-46], [36], [48], [-14], [10], [20], [60], [-18], [-34], [-48], [-44], [-10], [22], [-42], [-56], [-20], [-56], [44], [-4], [-2], [0], [50], [6], [-14], [36], [16], [32], [-2], [-30], [18], [40], [-6], [-66], [-38], [56], [20], [-20], [-16], [-40], [-54], [-6], [-8], [-24], [-70], [-24], [2], [-22], [16], [-12], [-20], [-20], [-36], [-30], [-66], [-20], [8], [62], [34], [18], [24], [38], [-42], [36], [-20], [-32], [-54], [-58], [6], [16], [-30], [36], [-30], [4], [16], [46], [32], [-58], [-36], [32], [-50], [-38], [-52], [-72], [72], [32], [4], [-68], [-14], [-50], [22], [50], [34], [-32], [60], [46], [44], [-2], [30], [-42], [18], [-76], [-68], [-70], [-22], [-16], [-60], [20], [-70], [-72], [-72], [54], [-10], [-40], [-8], [-40], [-60], [12], [76], [84], [50], [-74], [-32], [62], [-10], [30], [-16], [34], [-28], [44], [56], [-20], [-26], [-34], [-22], [-50], [0], [68], [24], [66], [-30], [-28], [-52], [-26], [-42], [-82], [0], [-46], [54], [-56], [-76], [72], [-82], [18], [70], [24], [80], [10], [-42], [16], [36], [6], [64], [6], [30], [48], [-34], [52], [-10], [-30], [-32], [58], [66], [-90], [16], [-36], [38], [18], [-4], [-22], [14], [-70], [-62], [58], [-50], [-28], [-22], [-38], [-12], [-16], [62], [44], [-48], [22], [2], [14], [-28], [30], [-78], [-82], [-10], [20], [104], [-12], [30], [-16], [10], [-70], [6], [18], [32], [-56], [-36], [-14], [62], [36], [-68], [-94], [-10], [-82], [60], [-50], [-8], [-60], [-34], [32], [36], [6], [-50], [104], [56], [-10], [-48]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 121597189972562234, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4410.2.a.bb', 'level': 4410, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 3, 3], [[[2, -1], [3, 1], [5, 1], [7, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [7, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [7, -1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [7, -1]], 6, 6], [[[2, 1], [3, -1], [5, 1], [7, -1]], 6, 6], [[[2, -1], [3, -1], [5, 1], [7, 1]], 5, 3], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 5], [[[2, 1], [3, -1], [5, -1], [7, 1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [7, 1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [7, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [7, -1]], 6, 6], [[[2, 1], [3, 1], [5, 1], [7, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [7, 1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [7, 1]], 4, 2]], 'ALdims': [2, 5, 4, 2, 4, 6, 4, 6, 4, 2, 2, 5, 5, 6, 7, 3], 'Nk2': 17640, 'analytic_conductor': 35.214027291384646, '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': [4410, 1, [3431, 2647, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 945, 'dim': 67, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 29, 31], 'hecke_orbit_code': 33558842, '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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '4410.2.a', 'level': 4410, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1072, 'mf_new_dim': 67, 'num_forms': 53, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 67, 'sturm_bound': 2016, 'trace_bound': 17, 'trace_display': [1, 0, -1, 0], 'traces': [67, 1, 0, 67, -1, 0, 0, 1, 0, 1, -4, 0, -2, 0, 0, 67, -6, 0, -8, -1, 0, -4, -24, 0, 67, -10, 0, 0, 10, 0, 8, 1, 0, -10, 0, 0, 42, -8, 0, 1, -10, 0, 36, -4, 0, 0, -8, 0, 0, 1, 0, -2, -18, 0, -4, 0, 0, -14, -12, 0, 22, 0, 0, 67, -2, 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mf_twists_nf • Show schema
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id: 1205005
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '4410.2.a.bb', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '4410.2.a.d', 'target_level': 4410, 'twist_class_label': '4410.2.a.d', 'twist_class_level': 4410, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1205006
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '4410.2.a.bb', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '4410.2.a.o', 'target_level': 4410, 'twist_class_label': '4410.2.a.d', 'twist_class_level': 4410, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1205007
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '4410.2.a.bb', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '4410.2.a.bb', 'target_level': 4410, 'twist_class_label': '4410.2.a.d', 'twist_class_level': 4410, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1205008
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '4410.2.a.bb', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': True, 'target_label': '4410.2.a.bk', 'target_level': 4410, 'twist_class_label': '4410.2.a.d', 'twist_class_level': 4410, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3591975
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 2}
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id: 3591976
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 3}
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id: 3591977
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 5}
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id: 3591978
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 7}
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id: 3591979
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 11}
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id: 3591980
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 13}
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id: 3591981
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 17}
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id: 3591982
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 19}
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id: 3591983
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 23}
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id: 3591984
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 29}
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id: 3591985
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 31}
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id: 3591986
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 37}
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id: 3591987
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 41}
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id: 3591988
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 43}
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id: 3591989
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 47}
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id: 3591990
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 53}
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id: 3591991
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 59}
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id: 3591992
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 61}
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id: 3591993
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 67}
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id: 3591994
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 71}
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id: 3591995
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 73}
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id: 3591996
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 79}
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id: 3591997
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 83}
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id: 3591998
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 89}
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id: 3591999
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 121597189972562234, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '4410.2.a.bb', 'level': 4410, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261861000
{'hecke_orbit_code': 121597189972562234, 'n': 1, 'trace_an': 1}
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id: 261861001
{'hecke_orbit_code': 121597189972562234, 'n': 2, 'trace_an': 1}
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id: 261861002
{'hecke_orbit_code': 121597189972562234, 'n': 3, 'trace_an': 0}
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id: 261861003
{'hecke_orbit_code': 121597189972562234, 'n': 4, 'trace_an': 1}
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id: 261861004
{'hecke_orbit_code': 121597189972562234, 'n': 5, 'trace_an': -1}
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id: 261861005
{'hecke_orbit_code': 121597189972562234, 'n': 6, 'trace_an': 0}
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id: 261861006
{'hecke_orbit_code': 121597189972562234, 'n': 7, 'trace_an': 0}
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id: 261861007
{'hecke_orbit_code': 121597189972562234, 'n': 8, 'trace_an': 1}
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id: 261861008
{'hecke_orbit_code': 121597189972562234, 'n': 9, 'trace_an': 0}
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id: 261861009
{'hecke_orbit_code': 121597189972562234, 'n': 10, 'trace_an': -1}
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id: 261861010
{'hecke_orbit_code': 121597189972562234, 'n': 11, 'trace_an': 2}
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id: 261861011
{'hecke_orbit_code': 121597189972562234, 'n': 12, 'trace_an': 0}
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id: 261861972
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id: 261861973
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id: 261861977
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id: 261861978
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id: 261861980
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id: 261861981
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id: 261861982
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id: 261861983
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id: 261861984
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id: 261861986
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id: 261861987
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id: 261861988
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id: 261861989
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id: 261861990
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id: 261861991
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id: 261861992
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id: 261861993
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id: 261861994
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id: 261861995
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id: 261861996
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id: 261861997
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id: 261861998
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id: 261861999
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