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{'Nk2': 10920, 'analytic_conductor': 21.799159751809544, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [7, -1], [13, -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': [2730, 1, [911, 547, 2341, 1471], [1, 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, [0, 1]], [17, [6, 1]], [19, [4, 1]], [23, [0, 1]], [29, [-6, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816744106, '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': '2730.2.a.o', 'level': 2730, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 7, 13], 'level_radical': 2730, 'minimal_twist': '2730.2.a.o', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/2730/o'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2730.2.a', 'trace_display': [-1, 1, -1, 1], 'trace_hash': 1569642246106225105, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.123', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.088', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, 'traces': [1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 0, 1, 1, -1, -1, 1, -6, -1, -4, -1, 1, 0, 0, -1, 1, -1, 1, 1, 6, 1, 8, -1, 0, 6, -1, 1, 2, 4, 1, 1, 6, -1, 8, 0, -1, 0, 12, 1, 1, -1, -6, 1, -6, -1, 0, -1, -4, -6, -12, -1, 14, -8, 1, 1, -1, 0, -4, -6, 0, 1, -12, -1, 2, -2, 1, -4, 0, -1, 8, -1, 1, -6, 0, 1, 6, -8, 6, 0, 6, 1, 1, 0, 8, -12, 4, -1, 2, -1, 0, 1, 18, 6, 8, -1, -1, 6, 12, 1, -10, 0, 2, 1, -18, 4, 0, 6, 1, 12, -6, 1, -11, -14, 6, 8, -1, -1, -4, -1, 8, 1, 12, 0, -4, 4, -1, 6, 6, 0, 8, -1, 12, 12, 0, 1, -6, -2, 1, 2, 18, -1, -16, 4, -6, 0, -8, 1, 14, -8, -6, 1, 0, -1, 20, 6, 0, 0, -12, -1, 1, -6, -4, 8, -18, -6, 1, 0, -12, -6, -12, -1, 14, -1, 14, 0, -2, -8, 0, 12, 1, -4, 24, 1, 14, -2, -1, 1, -6, 0, 20, -1, -4, -18, 6, -6, -6, -8, 0, 1, 0, 1, 20, -6, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [-1], [-1], [1], [-1], [1], [1], [0], [1], [1], [-1], [-1], [1], [-6], [-1], [-4], [-1], [1], [0], [0], [-1], [1], [-1], [1], [1], [6], [1], [8], [-1], [0], [6], [-1], [1], [2], [4], [1], [1], [6], [-1], [8], [0], [-1], [0], [12], [1], [1], [-1], [-6], [1], [-6], [-1], [0], [-1], [-4], [-6], [-12], [-1], [14], [-8], [1], [1], [-1], [0], [-4], [-6], [0], [1], [-12], [-1], [2], [-2], [1], [-4], [0], [-1], [8], [-1], [1], [-6], [0], [1], [6], [-8], [6], [0], [6], [1], [1], [0], [8], [-12], [4], [-1], [2], [-1], [0], [1]], 'ap': [[-1], [1], [-1], [1], [0], [1], [-6], [-4], [0], [6], [8], [2], [6], [8], [12], [-6], [-12], [14], [-4], [-12], [2], [8], [0], [6], [2], [18], [8], [12], [-10], [-18], [-4], [12], [6], [8], [18], [-16], [14], [20], [-12], [-18], [-12], [14], [24], [14], [-6], [20], [20], [-16], [-24], [-22], [6], [-12], [-10], [12], [18], [-24], [18], [8], [-10], [30], [-4], [18], [-28], [0], [26], [-30], [20], [-22], [-36], [26], [6], [-12], [8], [14], [20], [36], [-18], [-34], [-18], [-10], [12], [-34], [12], [2], [-28], [36], [-18], [-10], [18], [8], [-12], [0], [8], [-12], [20], [-24], [-30], [30], [-28], [14], [-16], [18], [12], [-6], [20], [-46], [24], [-18], [0], [2], [-40], [-22], [6], [44], [-16], [-30], [20], [0], [-6], [12], [50], [2], [-42], [-36], [-28], [-18], [-10], [24], [8], [-34], [20], [0], [32], [14], [6], [-34], [-30], [-52], [6], [-6], [-52], [-30], [-28], [36], [14], [0], [-10], [18], [32], [-48], [-22], [-18], [8], [48], [8], [0], [-40], [-18], [-22], [18], [60], [54], [32], [-12], [30], [36], [8], [-58], [2], [6], [0], [-22], [-24], [-34], [-4], [54], [20], [-30], [8], [-10], [-16], [60], [-34], [-42], [0], [-54], [-58], [20], [-22], [24], [2], [12], [20], [66], [12], [-30], [2], [38], [-18], [48], [18], [-28], [62], [2], [60], [54], [-40], [-12], [-42], [32], [-22], [-30], [-28], [24], [48], [-10], [-28], [-42], [48], [18], [-58], [8], [-18], [-40], [36], [-10], [66], [0], [-40], [-48], [-10], [8], [-40], [18], [-4], [-12], [-34], [-6], [-60], [24], [-36], [56], [32], [14], [30], [-48], [56], [12], [68], [48], [2], [30], [0], [-46], [54], [-48], [-10], [44], [6], [-70], [20], [12], [2], [-34], [-18], [56], [18], [6], [-4], [-30], [-58], [20], [26], [80], [2], [32], [-12], [14], [2], [12], [-48], [32], [24], [-22], [-52], [-72], [-70], [42], [-40], [30], [6], [60], [-42], [12], [38], [-6], [-28], [54], [-36], [-28], [26], [18], [8], [-60], [20], [-34], [84], [-58], [60], [38], [-24], [-6], [18], [-64], [-48], [-70], [12], [-84], [-46], [-54], [8], [-10], [18], [56], [54], [-22], [-52], [-4], [-72], [90], [38], [-6], [-4], [-48], [92], [-48], [-82], [6], [86], [32], [-46], [-42], [90], [-16], [66], [12], [38], [-4], [-48], [-18], [68], [-34], [-54], [8], [-10], [-6], [0], [60], [-66], [48], [50], [-90], [72], [0], [20], [98], [18], [56], [-22], [-12], [8], [-96], [6], [-4], [38], [-84], [0], [2], [6], [26], [-78], [-42], [56], [-18], [-28], [-60], [-40], [86], [44], [-72], [-46], [66], [96], [68], [36], [2], [-88], [6], [-28], [-102], [-70], [30], [104], [6], [90], [20], [26], [78], [-52], [12], [-46], [-54], [60], [-76], [74], [18], [-12], [-64], [30], [0], [-66], [38], [72], [-36], [26], [-6], [84], [-42], [20], [-72]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 63050394816744106, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2730.2.a.o', 'level': 2730, '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], [13, -1]], 3, 2], [[[2, -1], [3, 1], [5, -1], [7, -1], [13, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [13, -1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [7, -1], [13, 1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [13, 1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [13, 1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [13, -1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [7, -1], [13, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [13, 1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [13, 1]], 1, 1], [[[2, 1], [3, 1], [5, 1], [7, 1], [13, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [7, -1], [13, 1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [7, -1], [13, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [7, -1], [13, 1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [13, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [7, 1], [13, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [7, 1], [13, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [7, 1], [13, -1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [7, 1], [13, 1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [13, 1]], 2, 1], [[[2, 1], [3, -1], [5, 1], [7, -1], [13, -1]], 3, 3], [[[2, -1], [3, 1], [5, 1], [7, -1], [13, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [13, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, 1], [13, -1]], 2, 2]], 'ALdims': [1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 3, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 3, 2, 0, 2, 0, 0, 3], 'Nk2': 10920, 'analytic_conductor': 21.799159751809544, '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': [2730, 1, [911, 547, 2341, 1471], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 657, 'dim': 47, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 19, 23, 29], 'hecke_orbit_code': 33557162, 'hecke_orbit_dims': 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6, 118, 140, 90, 12, -142, 4, 24, 26, 64, -10, -724, 44, 62, 180, 96, -54, -394, 4, -220, 120, -128, 64, 30, 0, 26, 46, -28, -38, -32, -24, 264, 26, -72, 10, -304, 12, 34, -24, -134, -88, -36, -4, -312, -44, 42, -268, 40, -1], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 991042
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '2730.2.a.o', 'source_level': 2730, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '2730.2.a.o', 'target_level': 2730, 'twist_class_label': '2730.2.a.o', 'twist_class_level': 2730, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 991043
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 15, 'source_is_minimal': True, 'source_label': '2730.2.a.o', 'source_level': 2730, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8190.2.a.bx', 'target_level': 8190, 'twist_class_label': '2730.2.a.o', 'twist_class_level': 2730, '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: 2819825
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 2}
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id: 2819826
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 3}
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id: 2819827
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 5}
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id: 2819828
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 7}
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id: 2819829
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 11}
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id: 2819830
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 13}
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id: 2819831
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 17}
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id: 2819832
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 19}
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id: 2819833
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 23}
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id: 2819834
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 29}
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id: 2819835
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 31}
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id: 2819836
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 37}
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id: 2819837
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 41}
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id: 2819838
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 43}
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id: 2819839
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 47}
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id: 2819840
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 53}
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id: 2819841
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 59}
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id: 2819842
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 61}
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id: 2819843
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 67}
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id: 2819844
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 71}
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id: 2819845
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 73}
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id: 2819846
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 79}
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id: 2819847
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 83}
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id: 2819848
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 89}
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id: 2819849
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 63050394816744106, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '2730.2.a.o', 'level': 2730, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 230523000
{'hecke_orbit_code': 63050394816744106, 'n': 1, 'trace_an': 1}
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id: 230523001
{'hecke_orbit_code': 63050394816744106, 'n': 2, 'trace_an': -1}
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id: 230523002
{'hecke_orbit_code': 63050394816744106, 'n': 3, 'trace_an': 1}
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id: 230523003
{'hecke_orbit_code': 63050394816744106, 'n': 4, 'trace_an': 1}
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id: 230523004
{'hecke_orbit_code': 63050394816744106, 'n': 5, 'trace_an': -1}
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id: 230523005
{'hecke_orbit_code': 63050394816744106, 'n': 6, 'trace_an': -1}
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id: 230523006
{'hecke_orbit_code': 63050394816744106, 'n': 7, 'trace_an': 1}
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id: 230523007
{'hecke_orbit_code': 63050394816744106, 'n': 8, 'trace_an': -1}
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id: 230523008
{'hecke_orbit_code': 63050394816744106, 'n': 9, 'trace_an': 1}
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id: 230523009
{'hecke_orbit_code': 63050394816744106, 'n': 10, 'trace_an': 1}
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id: 230523988
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id: 230523989
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id: 230523990
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id: 230523991
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id: 230523992
{'hecke_orbit_code': 63050394816744106, 'n': 993, 'trace_an': 20}
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id: 230523993
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id: 230523994
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id: 230523995
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id: 230523996
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id: 230523997
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id: 230523998
{'hecke_orbit_code': 63050394816744106, 'n': 999, 'trace_an': 2}
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id: 230523999
{'hecke_orbit_code': 63050394816744106, 'n': 1000, 'trace_an': 1}