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mf_newforms • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 2449, 'conrey_indexes': [2449], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [0, 1]], [13, [16, 0, 1]], [19, [4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204328839670, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 1], [-1, 0], [0, 0], [-1, 0], [0, 2], [0, -1], [-1, 0], [0, 0], [0, 0], [0, -1], [0, -4], [-2, 0], [0, 0], [1, 0], [0, -1], [0, -1], [-4, 0], [0, 0], [-2, 0], [0, 0], [0, -4], [1, 0], [0, 0], [4, 0], [0, -1], [0, -2], [-2, 0], [0, 0], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [1, 0], [0, -2], [0, -4], [4, 0], [0, 0], [-4, 0], [0, -2], [0, -10], [0, 0], [0, 0], [4, 0], [0, -8], [0, 1], [3, 0], [0, 0], [1, 0], [0, 4], [0, -2], [1, 0], [0, 0], [2, 0], [0, -4], [0, -2], [2, 0], [0, 0], [-14, 0], [0, 0], [0, -2], [-1, 0], [0, 0], [0, 0], [0, 2], [0, 1], [4, 0], [0, 0], [-6, 0], [0, 1], [0, 4], [2, 0], [0, 0], [4, 0], [0, 0], [0, 4], [12, 0], [0, 0], [1, 0], [0, -4], [0, -8], [2, 0], [0, 0], [10, 0], [0, -2], [0, 0], [10, 0], [0, 0], [8, 0], [0, 4], [0, 0], [8, 0], [0, 0], [-1, 0], [0, 8], [0, 3], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 1], [0, 0], [0, 2], [0, 0], [0, -4], [0, -1], [-4, 0], [0, -4], [-2, 0], [0, 0], [0, -2], [-4, 0], [0, -10], [0, -8], [0, -2], [2, 0], [-14, 0], [0, 2], [-6, 0], [0, 4], [12, 0], [0, -8], [10, 0], [0, 8], [-4, 0], [0, -8], [0, -12], [-6, 0], [0, 6], [0, 16], [12, 0], [0, -18], [12, 0], [12, 0], [8, 0], [0, 4], [0, -24], [0, -8], [0, 2], [-18, 0], [-10, 0], [12, 0], [0, 8], [0, 6], [-16, 0], [12, 0], [0, 16], [0, -12], [2, 0], [0, -14], [24, 0], [-30, 0], [-2, 0], [0, -14], [0, -24], [-10, 0], [-8, 0], [0, 10], [22, 0], [0, 28], [0, -22], [0, 10], [-10, 0], [0, 16], [0, 30], [-16, 0], [0, 12], [0, -20], [-2, 0], [0, -18], [-20, 0], [0, -2], [0, -8], [-28, 0], [0, -16], [-12, 0], [0, -10], [-24, 0], [26, 0], [4, 0], [-34, 0], [-34, 0], [0, 34], [12, 0], [0, 8], [-40, 0], [0, -34], [0, 0], [0, -16], [0, -36], [-2, 0], [0, -22], [-14, 0], [12, 0], [0, -28], [-4, 0], [16, 0], [0, 18], [2, 0], [0, -36], [0, -46], [0, 32], [-42, 0], [-12, 0], [0, 22], [0, 8], [0, 30], [-12, 0], [38, 0], [0, -14], [0, -24], [0, 6], [-44, 0], [32, 0], [40, 0], [0, -16], [0, -8], [0, 14], [6, 0], [-30, 0], [0, -8], [0, 38], [0, -12], [12, 0], [24, 0], [-26, 0], [-26, 0], [0, -24], [0, 16], [16, 0], [0, 0], [20, 0], [0, 52], [-54, 0], [-14, 0], [0, -42], [0, 8], [0, 6], [28, 0], [52, 0], [30, 0], [0, 50], [0, 52], [-2, 0], [-14, 0], [0, -42], [0, -2], [-24, 0], [0, -32], [0, 10], [48, 0], [0, 2], [0, 20], [0, -8], [18, 0], [-32, 0], [20, 0], [0, 54], [-10, 0], [0, -4], [0, 34], [0, 20], [-6, 0], [0, 18], [0, -56], [24, 0], [0, 14], [22, 0], [0, -34], [42, 0], [38, 0], [38, 0], [0, -46], [24, 0], [44, 0], [-4, 0], [6, 0], [0, -28], [-14, 0], [0, -64], [12, 0], [0, 50], [0, 6], [0, 40], [-20, 0], [0, 6], [0, 18], [42, 0], [2, 0], [0, 16], [0, 36], [8, 0], [0, 0], [0, -44], [0, -10], [-26, 0], [0, -54], [0, 66], [0, 56], [42, 0], [-8, 0], [0, -32], [26, 0], [58, 0], [0, 70], [0, 0], [0, -36], [64, 0], [-8, 0], [0, -4], [16, 0], [0, 26], [0, 0], [-70, 0], [38, 0], [0, 8], [-10, 0], [0, 60], [0, -50], [-50, 0], [-8, 0], [46, 0], [0, 54], [0, -24], [34, 0], [0, 14], [6, 0], [0, -8], [24, 0], [0, 60], [52, 0], [40, 0], [50, 0], [0, -74], [0, 0], [50, 0], [0, -54], [-12, 0], [-20, 0], [0, -4], [56, 0], [0, -60], [-34, 0], [0, 34], [50, 0], [0, 34], [24, 0], [8, 0], [0, 24], [0, -52], [-12, 0], [0, 0], [-70, 0], [0, 6], [2, 0], [70, 0], [0, 12], [0, -54], [0, -2], [0, -26], [0, -52], [-18, 0], [0, -74], [0, 26], [68, 0], [52, 0], [-30, 0], [0, -48], [0, -34], [-14, 0], [0, -18], [0, -14], [-64, 0], [0, 70], [0, 44], [0, 24], [22, 0], [6, 0], [-22, 0], [0, -64], [-28, 0], [0, 36], [-74, 0], [0, -64], [20, 0], [0, 80], [0, 26], [-64, 0], [-50, 0], [10, 0], [0, 36], [0, 58], [60, 0], [0, -22], [54, 0], [-56, 0], [0, 66], [-48, 0], [0, 14], [0, 54], [0, -46], [20, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 22518204328839670, 'hecke_ring_character_values': [[851, [1, 0]], [1327, [-1, 0]], [751, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2550.2.d.f', 'level': 2550, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 10200, 'analytic_conductor': 20.3618525154265, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [2550, 2, [851, 1327, 751], [2, 1, 2]], 'conrey_index': 2449, 'cusp_dim': 516, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 206191987190, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2550.2.d', 'level': 2550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 564, 'mf_new_dim': 48, 'num_forms': 22, 'prim_orbit_index': 2, 'relative_dim': 48, 'sturm_bound': 1080, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -48, 0, 4, 0, 0, -48, 0, -16, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, -4, 0, -16, 0, 0, -32, 0, 16, 0, 0, -8, 0, 48, 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0, 16, 0, -960, 0, 0, 400, 0, 560, 0, 0, 208, 0, 8, 0, 0, 160, 0, -80, 0, 0, -400, 0, -768, 0, 0, -16, 0, 96, 0, 0, 32, 0, 416, 0, 0, 64, 0, -48, 0, 0, 816, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 963259
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '510.2.a.d', 'target_level': 510, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963260
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1530.2.a.h', 'target_level': 1530, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963261
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2550.2.a.i', 'target_level': 2550, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 963262
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2550.2.d.f', 'target_level': 2550, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 963263
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2550.2.d.f', 'target_level': 2550, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 963264
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4080.2.a.r', 'target_level': 4080, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963265
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7650.2.a.bn', 'target_level': 7650, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 963266
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2550.2.d.f', 'source_level': 2550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '8670.2.a.y', 'target_level': 8670, 'twist_class_label': '510.2.a.d', 'twist_class_level': 510, 'twisting_char_label': '85.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2724875
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 2}
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id: 2724876
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 3}
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id: 2724877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 5}
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id: 2724878
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 7}
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id: 2724879
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 11}
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id: 2724880
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 13}
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id: 2724881
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 17}
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id: 2724882
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 19}
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id: 2724883
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 23}
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id: 2724884
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 29}
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id: 2724885
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 31}
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id: 2724886
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 37}
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id: 2724887
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 41}
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id: 2724888
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 43}
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id: 2724889
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 47}
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id: 2724890
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 53}
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id: 2724891
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 59}
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id: 2724892
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 61}
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id: 2724893
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 67}
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id: 2724894
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 71}
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id: 2724895
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 73}
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id: 2724896
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 79}
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id: 2724897
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 83}
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id: 2724898
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 22518204328839670, 'p': 89}
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id: 2724899
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 22518204328839670, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '2550.2.d.f', 'level': 2550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 171528000
{'hecke_orbit_code': 22518204328839670, 'n': 1, 'trace_an': 2}
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id: 171528001
{'hecke_orbit_code': 22518204328839670, 'n': 2, 'trace_an': 0}
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id: 171528002
{'hecke_orbit_code': 22518204328839670, 'n': 3, 'trace_an': 0}
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id: 171528003
{'hecke_orbit_code': 22518204328839670, 'n': 4, 'trace_an': -2}
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id: 171528004
{'hecke_orbit_code': 22518204328839670, 'n': 5, 'trace_an': 0}
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id: 171528005
{'hecke_orbit_code': 22518204328839670, 'n': 6, 'trace_an': -2}
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id: 171528006
{'hecke_orbit_code': 22518204328839670, 'n': 7, 'trace_an': 0}
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id: 171528007
{'hecke_orbit_code': 22518204328839670, 'n': 8, 'trace_an': 0}
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id: 171528008
{'hecke_orbit_code': 22518204328839670, 'n': 9, 'trace_an': -2}
-
id: 171528009
{'hecke_orbit_code': 22518204328839670, 'n': 10, 'trace_an': 0}
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id: 171528010
{'hecke_orbit_code': 22518204328839670, 'n': 11, 'trace_an': 0}
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id: 171528011
{'hecke_orbit_code': 22518204328839670, 'n': 12, 'trace_an': 0}
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id: 171528012
{'hecke_orbit_code': 22518204328839670, 'n': 13, 'trace_an': 0}
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id: 171528013
{'hecke_orbit_code': 22518204328839670, 'n': 14, 'trace_an': -4}
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id: 171528014
{'hecke_orbit_code': 22518204328839670, 'n': 15, 'trace_an': 0}
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id: 171528015
{'hecke_orbit_code': 22518204328839670, 'n': 16, 'trace_an': 2}
-
id: 171528016
{'hecke_orbit_code': 22518204328839670, 'n': 17, 'trace_an': 0}
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id: 171528017
{'hecke_orbit_code': 22518204328839670, 'n': 18, 'trace_an': 0}
-
id: 171528018
{'hecke_orbit_code': 22518204328839670, 'n': 19, 'trace_an': -8}
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id: 171528019
{'hecke_orbit_code': 22518204328839670, 'n': 20, 'trace_an': 0}
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id: 171528020
{'hecke_orbit_code': 22518204328839670, 'n': 21, 'trace_an': -4}
-
id: 171528021
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