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mf_newforms • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': 1, 'char_values': [370, 4, [297, 261], [3, 3]], 'cm_discs': [], 'conrey_index': 43, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, 0, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007611605156210, 'hecke_ring_generator_nbound': 5, '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, 185, 6, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '370.2.g.c', 'level': 370, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.g.c', 'nf_label': '4.0.256.1', 'prim_orbit_index': 6, 'qexp_display': 'q+\\zeta_{8}^{2}q^{2}+2\\zeta_{8}q^{3}-q^{4}+(2\\zeta_{8}-\\zeta_{8}^{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '370.2.g', 'trace_display': [0, 0, 0, 8], 'trace_hash': 1702450284762560747, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.905', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.963', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 2, 0, 0], [-1, 0, 0, 0], [0, 2, 0, -1], [0, 0, 0, 2], [2, 1, 2, 0], [0, 0, -1, 0], [0, 0, 1, 0], [0, 1, 0, 2], [0, -2, -1, -2], [0, -2, 0, 0], [0, -3, 2, -3], [-2, 0, 2, 1], [2, 0, 4, 0], [1, 0, 0, 0], [1, -2, 0, 2], [-1, 0, 0, 0], [-3, -4, -3, 0], [0, -2, 0, 1], [0, 4, 2, 4], [1, 2, 0, -2], [0, -1, 4, -1], [0, 0, 0, -2], [4, 0, 3, 0], [-2, 3, 0, -3], [0, 0, 0, -4], [-2, -1, -2, 0], [-6, 0, 6, 1], [-4, 0, 2, 0], [-2, -3, -2, 0], [0, 0, 1, 0], [4, 0, -4, -2], [0, -2, 1, -2], [1, 6, 2, 2], [0, 0, -1, 0], [0, -1, 0, 6], [3, 0, -3, -4], [6, 0, -6, 4], [0, -1, 0, -2], [0, 0, -7, 0], [-2, -4, 0, 4], [0, 0, 7, 0], [0, 2, 1, 2], [0, 1, 0, 2], [-4, 1, 0, -1], [-4, -6, -4, 0], [0, 2, 0, 0], [0, 4, 2, 4], [-3, 0, 4, 0], [-4, 2, -4, 0], [0, 3, -2, 3], [0, 0, 0, -3], [0, 4, 0, 0], [2, -1, -6, -2], [2, 0, -2, -1], [0, -6, -8, -6], [-6, -1, -6, 0], [-4, 4, -4, 0], [-2, 0, -4, 0], [10, -1, 10, 0], [2, 0, -2, -3], [-2, 0, 2, 1], [-1, 0, 0, 0], [3, 2, -9, 4], [4, 2, 4, 0], [-3, 0, 3, -6], [-1, 2, 0, -2], [2, 0, -2, 8], [-2, -2, 1, 6], [-6, 4, 0, -4], [1, 0, 0, 0], [6, 0, 6, 0], [0, -6, 0, -1], [0, 8, 0, 6], [3, 4, 3, 0], [4, 0, -4, -9], [6, -4, 6, 0], [4, 8, 4, 0], [0, 2, 0, -1], [11, 0, 0, 0], [7, 0, 0, 0], [2, 0, -2, 4], [0, -4, -2, -4], [-6, 2, -2, -1], [-7, 0, 0, 0], [-2, -12, 0, 12], [-1, -2, 0, 2], [6, 0, -6, -2], [0, -2, 0, 1], [-1, 0, 1, -10], [0, 1, -4, 1], [0, -4, -6, -4], [4, 0, -4, -6], [-4, -9, -8, -3], [0, 0, 0, 2], [-7, 0, 0, 0], [-2, -4, 0, 4], [1, 2, 0, -2], [-4, 0, -3, 0]], 'ap': [[0, 0, 1, 0], [0, 2, 0, 0], [0, 2, 0, -1], [2, 1, 2, 0], [0, -2, -1, -2], [0, -3, 2, -3], [1, -2, 0, 2], [-3, -4, -3, 0], [0, -1, 4, -1], [-6, 0, 6, 1], [-2, -3, -2, 0], [0, -1, 0, 6], [0, 0, -7, 0], [0, 0, 7, 0], [-4, -6, -4, 0], [0, 0, 0, -3], [-4, 4, -4, 0], [10, -1, 10, 0], [-3, 0, 3, -6], [-6, 4, 0, -4], [6, 0, 6, 0], [4, 8, 4, 0], [2, 0, -2, 4], [6, 0, -6, -2], [-7, 0, 0, 0], [0, 5, 4, 5], [-2, 11, 0, -11], [-2, -10, -2, 0], [4, -7, 4, 0], [-1, -2, 0, 2], [4, -2, 4, 0], [-1, 2, -1, 0], [7, 2, 7, 0], [-9, 2, 0, -2], [0, -3, -4, -3], [0, 0, 12, 0], [8, -3, 8, 0], [-9, -4, 0, 4], [-4, 2, 0, -2], [-6, 17, -6, 0], [-6, 0, 6, 12], [2, 4, 0, -4], [-2, 0, 2, -5], [0, 6, 12, 6], [-2, 0, -2, 0], [6, 0, -6, 14], [-9, 0, 0, 0], [16, 0, -16, 3], [1, -6, 0, 6], [0, 1, 0, 1], [-7, 10, -7, 0], [12, -7, 12, 0], [5, 0, -5, 6], [-8, -14, -8, 0], [16, 2, 0, -2], [-4, -15, -4, 0], [0, -14, 2, -14], [4, -5, 0, 5], [0, 14, -12, 14], [4, 0, -4, 0], [28, 0, 0, 0], [6, 0, -6, 11], [8, 0, -8, 14], [-4, -11, -4, 0], [0, -8, 12, -8], [12, 0, -12, -5], [4, 0, -4, 2], [0, 0, 0, -8], [0, -8, -6, -8], [0, 10, -10, 10], [13, -4, 0, 4], [0, -23, 2, -23], [-6, 27, -6, 0], [-8, -4, -8, 0], [0, 0, -18, 0], [0, -1, 18, -1], [4, -11, 4, 0], [0, 0, 0, -12], [0, -10, 0, 0], [0, 0, 0, 28], [0, 12, 10, 12], [-14, -16, -14, 0], [0, -29, 0, 0], [-9, 0, 9, -20], [10, 0, -10, 11], [-11, 8, -11, 0], [-3, -32, -3, 0], [-15, 8, 0, -8], [14, 0, -14, 5], [0, -24, 4, -24], [-9, 8, 0, -8], [0, 22, 0, 0], [10, 12, 0, -12], [-2, 14, 0, -14], [-6, 0, 6, 6], [0, -1, 34, -1], [14, -9, 0, 9], [0, 16, 5, 16], [0, -4, -38, -4], [-8, 0, 8, 28], [0, -2, -25, -2], [0, 15, 2, 15], [0, 22, -7, 22], [-13, 0, 13, -16], [27, 14, 0, -14], [16, 4, 0, -4], [0, -18, 21, -18], [-12, 0, 12, 20], [0, 3, -38, 3], [-25, 6, 0, -6], [0, -27, 4, -27], [-10, -3, -10, 0], [-15, 0, 15, 18], [7, 28, 0, -28], [-4, -21, -4, 0], [-3, 20, 0, -20], [-33, 6, 0, -6], [0, 8, 16, 8], [-14, -4, 0, 4], [-6, -10, 0, 10], [-4, -23, -4, 0], [-19, 0, 19, -12], [-22, 0, 22, -12], [0, -8, -1, -8], [0, -12, 7, -12], [10, 0, -10, 8], [10, 1, 10, 0], [0, -10, -10, -10], [0, 10, -28, 10], [2, -35, 2, 0], [9, -14, 0, 14], [10, -7, 10, 0], [0, 17, -8, 17], [22, 4, 0, -4], [0, -8, 23, -8], [-22, 0, 22, -4], [8, 0, -8, -3], [12, 6, 12, 0], [0, -32, -6, -32], [23, 0, -23, -24], [-8, -12, 0, 12], [-26, -11, 0, 11], [-12, 0, 12, 24], [1, 2, 0, -2], [0, 0, 0, 35], [-10, 25, 0, -25], [-30, 2, 0, -2], [-1, 10, 0, -10], [-21, -22, -21, 0], [20, 0, -20, -1], [-2, -17, -2, 0], [0, 6, 1, 6], [31, -16, 0, 16], [2, 0, -2, 51], [-14, 0, 0, 0], [26, 0, -26, 2], [-12, 0, 12, 32], [15, -4, 0, 4], [6, -2, 6, 0], [28, -5, 0, 5], [11, -14, 0, 14], [26, -8, 26, 0], [-20, -24, 0, 24], [-17, -26, 0, 26], [0, -6, 41, -6], [20, 15, 20, 0], [24, 21, 24, 0], [12, 18, 0, -18]], 'char_orbit_index': 7, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 9007611605156210, 'hecke_ring_character_values': [[297, [0, 0, 1, 0]], [261, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '370.2.g.c', 'level': 370, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 185, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 4, 'char_parity': 1, 'char_values': [370, 4, [297, 261], [3, 3]], 'conrey_index': 43, 'cusp_dim': 106, 'dim': 38, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 412350415218, 'hecke_orbit_dims': [2, 2, 4, 10, 20], 'label': '370.2.g', 'level': 370, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 122, 'mf_new_dim': 38, 'num_forms': 5, 'prim_orbit_index': 6, 'relative_dim': 19, 'sturm_bound': 114, 'trace_bound': 3, 'trace_display': [0, -8, 4, 0], 'traces': [38, 0, -8, -38, 4, 0, 0, 0, 0, 2, 0, 8, 0, -4, 0, 38, 4, 10, -12, -4, 0, -16, 0, 0, -10, -8, 40, 0, -18, 0, -16, 0, 0, 0, 8, 0, -12, 0, 8, -2, 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18, -196, 0, -88, 0, 0, 40, -144, -92, 184, 0, 144, 22, 0, 224, -232, -138, 354, 0, 248, 16, 90, -28, -48, -40, -48, -296, -24, 40, -8, -16, -192, -80, -280, -168, -160, 26], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 279948
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '370.2.g.c', 'source_level': 370, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '370.2.g.c', 'target_level': 370, 'twist_class_label': '370.2.g.c', 'twist_class_level': 370, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 279949
{'conductor': 185, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '370.2.g.c', 'source_level': 370, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '370.2.g.c', 'target_level': 370, 'twist_class_label': '370.2.g.c', 'twist_class_level': 370, 'twisting_char_label': '185.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 279950
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '370.2.g.c', 'source_level': 370, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '370.2.h.c', 'target_level': 370, 'twist_class_label': '370.2.g.c', 'twist_class_level': 370, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 279951
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '370.2.g.c', 'source_level': 370, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '370.2.h.c', 'target_level': 370, 'twist_class_label': '370.2.g.c', 'twist_class_level': 370, 'twisting_char_label': '37.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 789025
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 2}
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id: 789026
{'charpoly_factorization': [[[16, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 3}
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id: 789027
{'charpoly_factorization': [[[25, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 5}
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id: 789028
{'charpoly_factorization': [[[49, -56, 32, -8, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 7}
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id: 789029
{'charpoly_factorization': [[[49, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 11}
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id: 789030
{'charpoly_factorization': [[[196, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 13}
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id: 789031
{'charpoly_factorization': [[[-7, -2, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 17}
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id: 789032
{'charpoly_factorization': [[[4, 24, 72, 12, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 19}
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id: 789033
{'charpoly_factorization': [[[196, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 23}
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id: 789034
{'charpoly_factorization': [[[5041, 1704, 288, 24, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 29}
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id: 789035
{'charpoly_factorization': [[[1, -8, 32, 8, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 31}
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id: 789036
{'charpoly_factorization': [[[1369, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 37}
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id: 789037
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 41}
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id: 789038
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 43}
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id: 789039
{'charpoly_factorization': [[[16, -64, 128, 16, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 47}
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id: 789040
{'charpoly_factorization': [[[81, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 53}
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id: 789041
{'charpoly_factorization': [[[256, 256, 128, 16, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 59}
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id: 789042
{'charpoly_factorization': [[[39601, -7960, 800, -40, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 61}
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id: 789043
{'charpoly_factorization': [[[324, -216, 72, 12, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 67}
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id: 789044
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 71}
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id: 789045
{'charpoly_factorization': [[[72, -12, 1], 2]], 'hecke_orbit_code': 9007611605156210, 'p': 73}
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id: 789046
{'charpoly_factorization': [[[1024, 512, 128, -16, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 79}
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id: 789047
{'charpoly_factorization': [[[64, 64, 32, -8, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 83}
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id: 789048
{'charpoly_factorization': [[[4624, -1632, 288, -24, 1], 1]], 'hecke_orbit_code': 9007611605156210, 'p': 89}
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id: 789049
{'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 9007611605156210, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 3, 'label': '370.2.g.c', 'level': 370, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30845167
{'hecke_orbit_code': 9007611605156210, 'n': 1, 'trace_an': 4}
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id: 30845168
{'hecke_orbit_code': 9007611605156210, 'n': 2, 'trace_an': 0}
-
id: 30845169
{'hecke_orbit_code': 9007611605156210, 'n': 3, 'trace_an': 0}
-
id: 30845170
{'hecke_orbit_code': 9007611605156210, 'n': 4, 'trace_an': -4}
-
id: 30845171
{'hecke_orbit_code': 9007611605156210, 'n': 5, 'trace_an': 0}
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id: 30845172
{'hecke_orbit_code': 9007611605156210, 'n': 6, 'trace_an': 0}
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id: 30845173
{'hecke_orbit_code': 9007611605156210, 'n': 7, 'trace_an': 8}
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id: 30845174
{'hecke_orbit_code': 9007611605156210, 'n': 8, 'trace_an': 0}
-
id: 30845175
{'hecke_orbit_code': 9007611605156210, 'n': 9, 'trace_an': 0}
-
id: 30845176
{'hecke_orbit_code': 9007611605156210, 'n': 10, 'trace_an': 0}
-
id: 30845177
{'hecke_orbit_code': 9007611605156210, 'n': 11, 'trace_an': 0}
-
id: 30845178
{'hecke_orbit_code': 9007611605156210, 'n': 12, 'trace_an': 0}
-
id: 30845179
{'hecke_orbit_code': 9007611605156210, 'n': 13, 'trace_an': 0}
-
id: 30845180
{'hecke_orbit_code': 9007611605156210, 'n': 14, 'trace_an': -8}
-
id: 30845181
{'hecke_orbit_code': 9007611605156210, 'n': 15, 'trace_an': 8}
-
id: 30845182
{'hecke_orbit_code': 9007611605156210, 'n': 16, 'trace_an': 4}
-
id: 30845183
{'hecke_orbit_code': 9007611605156210, 'n': 17, 'trace_an': 4}
-
id: 30845184
{'hecke_orbit_code': 9007611605156210, 'n': 18, 'trace_an': -4}
-
id: 30845185
{'hecke_orbit_code': 9007611605156210, 'n': 19, 'trace_an': -12}
-
id: 30845186
{'hecke_orbit_code': 9007611605156210, 'n': 20, 'trace_an': 0}
-
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id: 30845424
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