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mf_newforms • Show schema
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{'Nk2': 4368, 'analytic_conductor': 8.719663900723818, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 273, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 6, 'char_parity': 1, 'char_values': [1092, 6, [547, 365, 157, 925], [6, 3, 3, 1]], 'cm_discs': [-3], 'conrey_index': 797, 'conrey_indexes': [797, 881], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [19, [64, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505592525751364, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 91, 20, -1, 6, 0], [1, 1, 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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], [-1, -2], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [4, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 8], [0, 0], [1, -5], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [-3, 6], [0, 0], [0, 0], [0, 0], [11, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-4, -4], [0, 0], [5, 2], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-8, 16], [0, 0], [0, 0], [0, 0], [18, -9], [0, 0], [6, -9], [0, 0], [0, 0], [0, 0], [-9, -9], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-7, 0], [0, 0], [5, 5], [0, 0], [0, 0], [0, 0], [-17, 0], [0, 0], [-9, 9], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, -5], [0, 0], [11, 11], [0, 0], [0, 0], [0, 0], [0, -19], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [1, 1], [0, 0], [-1, -2], [0, 0], [4, -1], [0, 0], [0, 8], [0, 0], [0, 0], [11, 0], [-4, -4], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [18, -9], [-9, -9], [0, 0], [-7, 0], [-17, 0], [0, 0], [0, 0], [0, -19], [0, 0], [-11, 22], [0, 0], [7, -14], [0, 0], [-19, 19], [0, 0], [0, 0], [6, -3], [0, 0], [14, -28], [1, -2], [22, -11], [0, 0], [0, 0], [0, 0], [4, -8], [0, 0], [-7, -7], [0, 0], [30, -15], [-29, 29], [-28, 28], [0, 0], [-22, 0], [0, 0], [0, 0], [0, -14], [0, 0], [0, 0], [0, 0], [0, 0], [-1, 1], [0, -26], [0, 0], [-19, -19], [0, 0], [-19, 0], [0, 0], [-3, 6], [0, 0], [-42, 21], [5, 0], [0, 0], [37, -37], [0, 0], [0, 0], [-9, -9], [0, -25], [15, 15], [0, 0], [0, 0], [0, 35], [0, 0], [0, -7], [0, 0], [-1, 2], [0, 0], [22, -11], [-5, -5], [0, 0], [0, 0], [17, 17], [0, 0], [-21, 42], [0, 0], [0, 0], [4, -2], [0, 0], [-18, 36], [0, 0], [0, 0], [0, 0], [-26, -26], [21, -42], [-1, 0], [0, 0], [0, 0], [0, 0], [16, 0], [46, 0], [0, 0], [0, 0], [0, 0], [24, 24], [52, -26], [9, 9], [0, 0], [49, 0], [30, -15], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [-11, 11], [-37, 37], [0, 0], [0, 0], [-49, 49], [0, 0], [-50, 25], [0, 0], [31, -62], [-43, 0], [-30, -30], [0, 0], [-52, 52], [-26, 26], [0, 0], [-2, 2], [0, 0], [0, -31], [0, 0], [0, 0], [-37, 0], [0, 0], [0, 52], [0, 0], [-33, -33], [0, 0], [-23, 0], [0, 0], [-23, 46], [0, 0], [-56, 28], [0, 0], [47, 0], [0, 0], [40, -40], [0, 0], [0, 52], [0, 0], [-32, 64], [0, 0], [0, 0], [0, 0], [34, -68], [0, 0], [0, 0], [0, 0], [44, -44], [46, -23], [35, -70], [0, 0], [0, 0], [0, 14], [0, 0], [-42, 21], [22, -44], [0, 0], [-29, -29], [0, 0], [-31, -31], [25, 25], [38, -76], [0, 0], [43, 0], [0, 0], [0, 0], [0, 0], [19, 0], [32, 0], [3, 3], [0, 0], [-46, 23], [0, 0], [-53, 0], [0, 0], [0, 0], [0, 0], [-19, 38], [0, -67], [0, 0], [0, 0], [0, 0], [58, -29], [-29, 29], [-27, 54], [0, 0], [0, 0], [43, 0], [0, 0], [0, 0], [52, -26], [71, -71], [0, 0], [55, -55], [0, 0], [0, 0], [22, 0], [-61, 0], [0, 0], [0, 0], [0, 0], [-43, 43], [7, 0], [0, 0], [-62, 31], [0, 0], [-71, 0], [0, 0], [0, 0], [74, -37], [0, 0], [-67, 67], [43, 43], [-6, -6], [0, 0], [-1, 2], [0, 0], [0, 43], [0, 0], [0, 0], [0, 0], [0, 0], [26, 26], [-68, 34], [-17, -17], [0, 0], [0, 0], [0, 35], [0, 0], [-10, 5], [0, 0], [7, 7], [0, 0], [0, 0], [45, 45], [0, 0], [0, 0], [0, 26], [80, -80], [0, 0], [0, 70], [-68, 0], [0, 0], [67, 0], [-43, -43], [0, 0], [34, -17], [0, 0], [0, 0], [-84, 42], [0, 0], [5, -10], [33, -66], [10, -10], [0, -52], [-34, 17], [-28, 28], [0, 0], [-12, 24], [50, -25], [0, 0], [0, 0], [30, 30], [0, 0], [-49, 49], [-56, 0], [0, 0], [17, 0], [0, 0], [0, 73], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -23], [0, 0], [-26, 52], [0, 0], [0, 0], [89, -89], [38, -19], [0, 0], [52, -52]], 'char_orbit_index': 30, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 4505592525751364, 'hecke_ring_character_values': [[547, [1, 0]], [365, [-1, 0]], [157, [-1, 0]], [925, [0, 1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1092.2.bd.b', 'level': 1092, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4368, 'analytic_conductor': 8.719663900723818, 'char_conductor': 273, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 30, 'char_orbit_label': 'bd', 'char_order': 6, 'char_parity': 1, 'char_values': [1092, 6, [547, 365, 157, 925], [6, 3, 3, 1]], 'conrey_index': 797, 'cusp_dim': 424, 'dim': 76, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 19], 'hecke_orbit_code': 1992898380868, 'hecke_orbit_dims': [2, 2, 72], 'label': '1092.2.bd', 'level': 1092, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 472, 'mf_new_dim': 76, 'num_forms': 3, 'prim_orbit_index': 21, 'relative_dim': 38, 'sturm_bound': 448, 'trace_bound': 3, 'trace_display': [0, 0, 0, 3], 'traces': [76, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -10, 0, 0, 0, 0, 0, 7, 0, -24, 0, 0, 0, 0, 0, 0, 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0, 0, 0, -80, 0, 42, 0, 0, 0, 0, 0, -146, 0, 0, 0, 0, 0, -267, 0, 0, 0, -340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -572, 0, -1422, 0, 0, 0, -258, 0, 0, 0, 0, 0, 854, 0, -116, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 90, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, -528, 0, -390, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 79, 0, 0, 0, -768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -708, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -852, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 318, 0, 0, 0, -832, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 644831
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1092.2.bd.a', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 644832
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1092.2.bd.a', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 644833
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1092.2.bd.a', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 644834
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1092.2.bd.a', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 644835
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1092.2.bd.b', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 644836
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1092.2.bd.b', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 644837
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1092.2.bd.b', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '91.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 644838
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 30, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1092.2.bd.b', 'source_level': 1092, 'target_char_orbit': 30, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1092.2.bd.b', 'target_level': 1092, 'twist_class_label': '1092.2.bd.a', 'twist_class_level': 1092, 'twisting_char_label': '273.u', 'twisting_char_orbit': 21, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1678000
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 2}
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id: 1678001
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 3}
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id: 1678002
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 5}
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id: 1678003
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 7}
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id: 1678004
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 11}
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id: 1678005
{'charpoly_factorization': [[[13, -7, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 13}
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id: 1678006
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 17}
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id: 1678007
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 19}
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id: 1678008
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 23}
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id: 1678009
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 29}
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id: 1678010
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 31}
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id: 1678011
{'charpoly_factorization': [[[48, 12, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 37}
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id: 1678012
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 41}
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id: 1678013
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 43}
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id: 1678014
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 47}
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id: 1678015
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 53}
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id: 1678016
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 59}
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id: 1678017
{'charpoly_factorization': [[[243, -27, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 61}
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id: 1678018
{'charpoly_factorization': [[[243, 27, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 67}
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id: 1678019
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 71}
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id: 1678020
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 73}
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id: 1678021
{'charpoly_factorization': [[[17, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 79}
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id: 1678022
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 83}
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id: 1678023
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4505592525751364, 'p': 89}
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id: 1678024
{'charpoly_factorization': [[[361, 19, 1], 1]], 'hecke_orbit_code': 4505592525751364, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 30, 'hecke_orbit': 2, 'label': '1092.2.bd.b', 'level': 1092, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 97627000
{'hecke_orbit_code': 4505592525751364, 'n': 1, 'trace_an': 2}
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id: 97627001
{'hecke_orbit_code': 4505592525751364, 'n': 2, 'trace_an': 0}
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id: 97627002
{'hecke_orbit_code': 4505592525751364, 'n': 3, 'trace_an': 3}
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id: 97627003
{'hecke_orbit_code': 4505592525751364, 'n': 4, 'trace_an': 0}
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id: 97627004
{'hecke_orbit_code': 4505592525751364, 'n': 5, 'trace_an': 0}
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id: 97627005
{'hecke_orbit_code': 4505592525751364, 'n': 6, 'trace_an': 0}
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id: 97627006
{'hecke_orbit_code': 4505592525751364, 'n': 7, 'trace_an': -4}
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id: 97627007
{'hecke_orbit_code': 4505592525751364, 'n': 8, 'trace_an': 0}
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id: 97627008
{'hecke_orbit_code': 4505592525751364, 'n': 9, 'trace_an': 3}
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id: 97627009
{'hecke_orbit_code': 4505592525751364, 'n': 10, 'trace_an': 0}
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id: 97627010
{'hecke_orbit_code': 4505592525751364, 'n': 11, 'trace_an': 0}
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id: 97627011
{'hecke_orbit_code': 4505592525751364, 'n': 12, 'trace_an': 0}
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id: 97627012
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{'hecke_orbit_code': 4505592525751364, 'n': 998, 'trace_an': 0}
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id: 97627998
{'hecke_orbit_code': 4505592525751364, 'n': 999, 'trace_an': 36}
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id: 97627999
{'hecke_orbit_code': 4505592525751364, 'n': 1000, 'trace_an': 0}