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mf_newforms • Show schema
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{'Nk2': 13440, 'analytic_conductor': 26.829735079150208, 'analytic_rank': 0, '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': [3360, 1, [1471, 421, 1121, 2017, 1921], [1, 1, 1, 1, 1]], 'cm_discs': [], '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]], [13, [-2, 1]], [17, [2, 1]], [19, [-4, 1]], [23, [-8, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208338208, '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': '3360.2.a.v', 'level': 3360, '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': '3360.2.a.k', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-q^{7}+q^{9}+2q^{13}+q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/3360/v'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3360.2.a', 'trace_display': [0, 1, 1, -1], 'trace_hash': 515942153465780769, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [-1], [0], [1], [0], [0], [0], [2], [0], [1], [0], [-2], [0], [4], [0], [-1], [0], [8], [0], [1], [0], [1], [0], [-2], [0], [4], [0], [0], [0], [-1], [0], [-6], [0], [2], [0], [-6], [0], [-4], [0], [1], [0], [0], [0], [1], [0], [-2], [0], [6], [0], [0], [0], [4], [0], [0], [0], [6], [0], [-1], [0], [2], [0], [4], [0], [8], [0], [8], [0], [10], [0], [1], [0], [0], [0], [12], [0], [1], [0], [4], [0], [-2], [0], [-2], [0], [-6], [0], [-2], [0], [4], [0], [4], [0], [-6], [0], [0], [0]], 'ap': [[0], [1], [1], [-1], [0], [2], [-2], [4], [8], [-2], [4], [-6], [-6], [-4], [0], [6], [0], [6], [4], [8], [10], [12], [4], [-6], [-6], [6], [0], [4], [6], [-2], [-8], [0], [-2], [12], [6], [12], [10], [-4], [24], [-18], [0], [6], [-8], [10], [-10], [-4], [20], [-8], [-20], [14], [-2], [24], [-14], [0], [-18], [-16], [-18], [-28], [18], [-30], [-12], [14], [20], [0], [10], [-18], [20], [-22], [-12], [22], [-26], [16], [0], [34], [20], [-24], [-10], [-14], [-30], [10], [8], [22], [-24], [34], [-4], [-12], [-30], [10], [14], [-16], [4], [32], [0], [-16], [12], [-24], [-18], [18], [-4], [-10], [-28], [22], [-20], [-38], [-28], [-38], [-12], [14], [16], [42], [-32], [-22], [-2], [-20], [-44], [-6], [4], [-8], [-42], [8], [46], [-22], [6], [-36], [20], [-34], [6], [-8], [-48], [-38], [44], [-8], [-20], [2], [18], [18], [-50], [4], [46], [18], [-28], [-10], [-16], [44], [14], [32], [42], [22], [20], [-40], [-54], [-46], [-20], [-56], [12], [-48], [20], [-22], [2], [14], [-12], [46], [48], [0], [-34], [0], [20], [-14], [-14], [-58], [-40], [14], [24], [34], [4], [26], [-4], [22], [8], [-2], [-24], [56], [-14], [6], [16], [22], [2], [-36], [26], [40], [2], [44], [-12], [30], [-52], [6], [2], [-14], [-2], [0], [-50], [12], [-38], [34], [8], [22], [-20], [-20], [-14], [28], [-70], [54], [-32], [12], [56], [26], [32], [42], [40], [-26], [-58], [-36], [26], [-16], [-28], [14], [-42], [24], [8], [-24], [-46], [60], [-52], [50], [28], [8], [34], [46], [-16], [-56], [-52], [36], [16], [-34], [54], [-24], [16], [40], [20], [-8], [-70], [-22], [-24], [74], [-42], [-56], [46], [-28], [30], [42], [40], [20], [30], [-46], [38], [76], [-50], [18], [-12], [-34], [14], [76], [10], [28], [-14], [48], [-12], [46], [-70], [16], [56], [68], [8], [22], [20], [40], [34], [46], [-60], [58], [14], [28], [46], [0], [82], [-2], [-20], [30], [40], [44], [10], [-10], [-44], [60], [-36], [-78], [60], [-74], [-24], [-14], [-64], [54], [-30], [36], [-24], [-38], [56], [48], [82], [2], [-4], [-78], [-50], [-72], [6], [-30], [-4], [84], [-48], [-2], [-34], [38], [-36], [-20], [-68], [60], [6], [-10], [-38], [-40], [34], [22], [-58], [20], [46], [-40], [30], [-28], [0], [-2], [-36], [-86], [-18], [56], [70], [14], [-32], [48], [-42], [48], [18], [-30], [-80], [0], [-52], [90], [38], [72], [-70], [-72], [4], [0], [54], [68], [10], [-96], [48], [-86], [10], [-94], [30], [-2], [-56], [22], [-68], [-40], [44], [2], [-28], [72], [66], [38], [-72], [68], [-24], [-54], [20], [-102], [12], [86], [-50], [70], [8], [78], [6], [44], [-6], [18], [4], [-40], [-22], [-18], [12], [20], [-46], [78], [16], [56], [-58], [-48], [46], [-94], [-64], [-96], [42], [-10], [84], [58], [28], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 94575592208338208, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3360.2.a.v', 'level': 3360, '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]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, -1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [7, -1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [7, -1]], 5, 2], [[[2, 1], [3, -1], [5, 1], [7, -1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, 1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [7, 1]], 4, 4], [[[2, 1], [3, -1], [5, -1], [7, 1]], 2, 2], [[[2, 1], [3, -1], [5, 1], [7, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1]], 2, 1], [[[2, -1], [3, -1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, 1]], 4, 4], [[[2, -1], [3, 1], [5, -1], [7, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1]], 3, 2]], 'Nk2': 13440, 'analytic_conductor': 26.829735079150208, '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': [3360, 1, [1471, 421, 1121, 2017, 1921], [1, 1, 1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 737, 'dim': 48, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23], 'hecke_orbit_code': 33557792, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '3360.2.a', 'level': 3360, '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': 800, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1536, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 1086967
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '3360.2.a.v', 'source_level': 3360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '3360.2.a.k', 'target_level': 3360, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1086968
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '3360.2.a.v', 'source_level': 3360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '3360.2.a.v', 'target_level': 3360, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1086969
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '3360.2.a.v', 'source_level': 3360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6720.2.a.g', 'target_level': 6720, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1086970
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': True, 'source_label': '3360.2.a.v', 'source_level': 3360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '6720.2.a.br', 'target_level': 6720, 'twist_class_label': '3360.2.a.k', 'twist_class_level': 3360, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3140675
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 2}
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id: 3140676
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 3}
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id: 3140677
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 5}
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id: 3140678
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 7}
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id: 3140679
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 11}
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id: 3140680
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 13}
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id: 3140681
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 17}
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id: 3140682
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 19}
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id: 3140683
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 23}
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id: 3140684
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 29}
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id: 3140685
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 31}
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id: 3140686
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 37}
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id: 3140687
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 41}
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id: 3140688
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 43}
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id: 3140689
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 47}
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id: 3140690
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 53}
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id: 3140691
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 59}
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id: 3140692
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 61}
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id: 3140693
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 67}
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id: 3140694
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 71}
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id: 3140695
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 73}
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id: 3140696
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 79}
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id: 3140697
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 83}
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id: 3140698
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 89}
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id: 3140699
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208338208, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '3360.2.a.v', 'level': 3360, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 251370000
{'hecke_orbit_code': 94575592208338208, 'n': 1, 'trace_an': 1}
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id: 251370001
{'hecke_orbit_code': 94575592208338208, 'n': 2, 'trace_an': 0}
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id: 251370002
{'hecke_orbit_code': 94575592208338208, 'n': 3, 'trace_an': 1}
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id: 251370003
{'hecke_orbit_code': 94575592208338208, 'n': 4, 'trace_an': 0}
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id: 251370004
{'hecke_orbit_code': 94575592208338208, 'n': 5, 'trace_an': 1}
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id: 251370005
{'hecke_orbit_code': 94575592208338208, 'n': 6, 'trace_an': 0}
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id: 251370006
{'hecke_orbit_code': 94575592208338208, 'n': 7, 'trace_an': -1}
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id: 251370007
{'hecke_orbit_code': 94575592208338208, 'n': 8, 'trace_an': 0}
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id: 251370008
{'hecke_orbit_code': 94575592208338208, 'n': 9, 'trace_an': 1}
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id: 251370009
{'hecke_orbit_code': 94575592208338208, 'n': 10, 'trace_an': 0}
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id: 251370010
{'hecke_orbit_code': 94575592208338208, 'n': 11, 'trace_an': 0}
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id: 251370011
{'hecke_orbit_code': 94575592208338208, 'n': 12, 'trace_an': 0}
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id: 251370012
{'hecke_orbit_code': 94575592208338208, 'n': 13, 'trace_an': 2}
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id: 251370013
{'hecke_orbit_code': 94575592208338208, 'n': 14, 'trace_an': 0}
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id: 251370014
{'hecke_orbit_code': 94575592208338208, 'n': 15, 'trace_an': 1}
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id: 251370015
{'hecke_orbit_code': 94575592208338208, 'n': 16, 'trace_an': 0}
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id: 251370016
{'hecke_orbit_code': 94575592208338208, 'n': 17, 'trace_an': -2}
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id: 251370017
{'hecke_orbit_code': 94575592208338208, 'n': 18, 'trace_an': 0}
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id: 251370018
{'hecke_orbit_code': 94575592208338208, 'n': 19, 'trace_an': 4}
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id: 251370019
{'hecke_orbit_code': 94575592208338208, 'n': 20, 'trace_an': 0}
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