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mf_newforms • Show schema
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{'Nk2': 1240, 'analytic_conductor': 2.475362462659692, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [310, 5, [187, 251], [5, 2]], 'cm_discs': [], 'conrey_index': 101, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 1, 1, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 481069891894, '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, 31, 4, 1, 5, 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': '310.2.h.a', 'level': 310, '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, 31], 'level_radical': 310, 'minimal_twist': '310.2.h.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+\\zeta_{10}q^{2}+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\zeta_{10}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '310.2.h', 'trace_display': [1, -1, 4, 7], 'trace_hash': 1801342745984363989, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.743', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '43.775', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [-1, 1, -1, 1], [0, 0, 1, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, 2, -3, 2], [0, 0, 0, 1], [0, 0, 0, 2], [0, 1, 0, 0], [0, 0, 3, 0], [0, -1, 0, 0], [3, -1, 1, -3], [-2, 2, 0, -1], [-1, 1, -1, 1], [-1, 1, -1, 1], [-3, 3, 0, 6], [-2, 2, -2, 2], [-4, 4, -4, 0], [0, 0, 1, 0], [-2, 3, -2, 0], [0, 0, 0, 3], [3, -3, 0, -6], [0, 0, -1, 0], [1, 0, 0, 0], [3, 0, 2, -2], [0, 0, -5, 0], [1, -3, 3, -1], [0, 3, 0, 0], [-1, 0, 0, 0], [-4, -2, 2, 1], [-1, 0, 0, 0], [0, -3, 0, 0], [-6, 3, -3, 6], [0, 2, -3, 2], [-2, 0, 0, 0], [5, 0, 8, -8], [0, -4, 4, -4], [-2, 2, 0, 3], [0, 0, 0, 1], [3, -9, 3, 0], [0, -2, 3, -2], [-2, 0, -2, 0], [-3, 3, -3, 3], [0, 0, 0, 2], [6, -3, 3, -6], [9, -9, 9, -9], [0, 0, 0, -1], [2, 6, -6, -2], [0, 1, 0, 0], [0, -3, -3, -3], [2, 1, 2, 0], [12, -12, 0, -6], [0, 0, 0, -5], [0, 0, 3, 0], [1, 0, -2, 2], [0, 0, 4, -4], [0, 0, 3, 0], [-6, 6, -6, 6], [0, -1, 0, 0], [0, 0, 1, -1], [-1, -3, -3, 3], [2, 0, -4, 4], [0, -1, 0, 0], [3, -1, 1, -3], [0, 0, -3, 0], [-3, 0, -11, 11], [-6, 0, -3, 3], [0, 3, 3, 3], [-2, 2, 0, -1], [3, -3, 0, -3], [0, -2, 0, 0], [0, -10, 6, -10], [8, -3, 8, 0], [-1, 1, -1, 1], [4, -4, 0, 0], [3, -9, 9, -3], [-3, 1, -1, 3], [1, -1, 0, -6], [-1, 1, -1, 1], [0, -1, 0, 0], [0, 3, -9, 3], [6, 3, 6, 0], [2, -2, 0, 1], [-3, 3, 0, 6], [0, -2, 0, -2], [-3, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 12, 0], [-2, 2, -2, 2], [0, 1, 0, 0], [6, 0, 3, -3], [6, -6, 3, -4], [9, 0, 0, 0], [-4, 4, -4, 0], [1, -1, 1, -1], [0, -2, 2, -2], [2, 0, 8, -8], [-6, 0, 0, 0], [0, 0, 1, 0]], 'ap': [[0, 1, 0, 0], [-1, 1, -1, 1], [1, 0, 0, 0], [0, 2, -3, 2], [0, 0, 3, 0], [3, -1, 1, -3], [-3, 3, 0, 6], [-4, 4, -4, 0], [3, -3, 0, -6], [0, 3, 0, 0], [-4, -2, 2, 1], [5, 0, 8, -8], [3, -9, 3, 0], [-2, 0, -2, 0], [9, -9, 9, -9], [12, -12, 0, -6], [-6, 6, -6, 6], [0, 0, 1, -1], [-3, 0, -11, 11], [3, -3, 0, -3], [0, -10, 6, -10], [1, -1, 0, -6], [6, 3, 6, 0], [0, 0, 12, 0], [0, -2, 2, -2], [-6, 6, 0, 3], [-2, -12, -2, 0], [-6, 6, 0, 6], [-14, 9, -9, 14], [0, 6, 3, 6], [-9, 17, -17, 9], [0, -3, 0, -3], [15, -15, 15, -15], [4, -6, 6, -4], [0, 0, 3, -3], [0, 8, 3, 8], [-13, 1, -13, 0], [2, -2, 0, 1], [-12, 6, -12, 0], [-9, 9, -9, 9], [0, 0, 24, 0], [-1, 0, 5, -5], [-12, 0, 9, -9], [0, 13, -13, 13], [0, 6, 3, 6], [1, 15, -15, -1], [2, 0, 5, -5], [-3, 0, -11, 11], [3, -9, 3, 0], [-1, -14, -1, 0], [12, -3, 3, -12], [21, -21, 0, -6], [0, -18, 17, -18], [-24, 21, -21, 24], [-6, 6, 0, -9], [3, 6, -6, -3], [3, -6, 3, 0], [8, -8, 0, -11], [9, 1, 9, 0], [-3, -3, -3, 0], [0, -10, 9, -10], [6, -6, 0, 3], [-6, 20, -20, 6], [12, 0, 6, -6], [-23, 12, -12, 23], [0, 12, -12, 12], [9, 1, 9, 0], [0, 16, -13, 16], [3, 0, 15, -15], [-4, 4, 0, -8], [-12, 9, -12, 0], [24, -9, 9, -24], [-28, 0, 0, 0], [-9, 0, -14, 14], [0, -17, 20, -17], [0, 0, 9, 0], [-6, 6, 0, -15], [15, 0, -5, 5], [0, -30, 0, 0], [14, 0, 9, -9], [12, -6, 6, -12], [-17, 21, -21, 17], [-33, 36, -36, 33], [11, 0, -16, 16], [-19, 0, -1, 1], [-15, 15, 0, 6], [-33, 30, -30, 33], [9, -9, 0, 1], [0, 24, -27, 24], [-4, 7, -4, 0], [3, 21, 3, 0], [-21, 21, 0, 15], [11, -11, 0, -8], [-15, 0, -12, 12], [6, -19, 19, -6], [0, 9, 30, 9], [-12, 30, -30, 12], [-9, 0, -12, 12], [0, -4, 6, -4], [-2, 2, 0, 27], [0, 7, 5, 7], [-30, 0, 6, -6], [0, 0, 12, -12], [0, -6, 0, -6], [22, -22, 22, -22], [-11, 6, -11, 0], [-24, -9, -24, 0], [0, -15, 0, -15], [18, 6, 18, 0], [-8, 9, -8, 0], [-30, 29, -29, 30], [0, 25, -19, 25], [9, -12, 12, -9], [0, 0, 16, -16], [0, -26, 23, -26], [24, -27, 24, 0], [-29, 29, 0, 18], [0, -9, -24, -9], [-15, -9, -15, 0], [0, 0, 0, 27], [-2, 12, -2, 0], [23, -23, 0, -8], [-15, 0, -9, 9], [-15, 0, -30, 30], [-23, 23, 0, 9], [-24, 9, -24, 0], [0, -9, 17, -9], [27, 0, 9, -9], [18, -18, 0, 10], [0, -36, 5, -36], [45, 0, 10, -10], [24, 0, 21, -21], [0, 0, -4, 0], [9, 5, -5, -9], [3, -3, 0, -3], [29, 0, -10, 10], [-3, 0, -3, 0], [-27, 13, -27, 0], [-24, 24, 0, -6], [-24, 27, -27, 24], [47, 0, 0, 0], [9, 6, -6, -9], [-1, 1, 0, -11], [9, -33, 9, 0], [-2, 2, 0, -33], [-18, 21, -18, 0], [55, -55, 55, -55], [0, -18, 27, -18], [-34, 34, 0, 31], [-18, 0, -39, 39], [0, 0, 0, 13], [-33, 3, -3, 33], [25, -21, 21, -25], [-21, 21, -21, 0], [-8, 8, 0, 39], [-12, -24, -12, 0], [0, 22, -16, 22], [0, 0, 9, -9], [0, 2, -42, 2], [0, 15, -33, 15], [0, 0, 0, -18], [6, -6, 0, -15], [5, 0, -16, 16], [24, -18, 24, 0], [36, -12, 12, -36], [-18, 18, 0, -24], [18, 0, -14, 14], [-22, 0, -22, 22]], 'char_orbit_index': 8, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 481069891894, 'hecke_ring_character_values': [[187, [1, 0, 0, 0]], [251, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '310.2.h.a', 'level': 310, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1240, 'analytic_conductor': 2.475362462659692, 'char_conductor': 31, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [310, 5, [187, 251], [5, 2]], 'conrey_index': 101, 'cusp_dim': 176, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 481069891894, 'hecke_orbit_dims': [4, 4, 8, 8, 8], 'label': '310.2.h', 'level': 310, '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, 31], 'level_radical': 310, 'mf_dim': 208, 'mf_new_dim': 32, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 96, 'trace_bound': 3, 'trace_display': [0, 4, 0, 16], 'traces': [32, 0, 4, -8, 0, 0, 16, 0, 0, 0, -12, 4, 8, -12, 0, -8, 4, 16, 16, 0, 28, 12, 20, 0, 32, -16, -20, -24, -4, -16, -28, 0, -44, -12, -12, 0, 32, -16, 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-112, 68, -136, 4, -32, 0, 168, -180, -220, -24, 196, -136, -16, 32, -16, 44, 396, -132, 260, -16, -28, 32, -100, 104, -248, 88, 156, 20, 264, 0, 192, 96, -32, -64, -24, 184, 344, -8, -120, -64, -240, -56, 60, -108, -20, 20, 112, 112, 176, 64, -184, -88, -20, 36, 20, -176, 232, 32, -52, 64, -112, 4, 424, -124, 32, 56, -8, -40, -220, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 237798
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '310.2.h.a', 'source_level': 310, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '310.2.h.a', 'target_level': 310, 'twist_class_label': '310.2.h.a', 'twist_class_level': 310, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 237799
{'conductor': 31, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '310.2.h.a', 'source_level': 310, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '310.2.h.a', 'target_level': 310, 'twist_class_label': '310.2.h.a', 'twist_class_level': 310, 'twisting_char_label': '31.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 237800
{'conductor': 31, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '310.2.h.a', 'source_level': 310, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '9610.2.a.c', 'target_level': 9610, 'twist_class_label': '310.2.h.a', 'twist_class_level': 310, 'twisting_char_label': '31.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 237801
{'conductor': 31, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '310.2.h.a', 'source_level': 310, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9610.2.a.k', 'target_level': 9610, 'twist_class_label': '310.2.h.a', 'twist_class_level': 310, 'twisting_char_label': '31.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 686850
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 2}
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id: 686851
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 3}
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id: 686852
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 481069891894, 'p': 5}
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id: 686853
{'charpoly_factorization': [[[1, -3, 19, -7, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 7}
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id: 686854
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 11}
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id: 686855
{'charpoly_factorization': [[[1, -3, 19, -7, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 13}
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id: 686856
{'charpoly_factorization': [[[81, -108, 54, 3, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 17}
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id: 686857
{'charpoly_factorization': [[[256, 192, 64, 8, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 19}
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id: 686858
{'charpoly_factorization': [[[81, 108, 54, -3, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 23}
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id: 686859
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 29}
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id: 686860
{'charpoly_factorization': [[[961, 589, 151, 19, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 31}
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id: 686861
{'charpoly_factorization': [[[-79, -2, 1], 2]], 'hecke_orbit_code': 481069891894, 'p': 37}
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id: 686862
{'charpoly_factorization': [[[2025, 675, 90, 0, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 41}
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id: 686863
{'charpoly_factorization': [[[16, 16, 16, 6, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 43}
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id: 686864
{'charpoly_factorization': [[[6561, -729, 81, -9, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 47}
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id: 686865
{'charpoly_factorization': [[[32400, -5400, 540, -30, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 53}
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id: 686866
{'charpoly_factorization': [[[1296, 216, 36, 6, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 59}
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id: 686867
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 481069891894, 'p': 61}
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id: 686868
{'charpoly_factorization': [[[-145, -5, 1], 2]], 'hecke_orbit_code': 481069891894, 'p': 67}
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id: 686869
{'charpoly_factorization': [[[81, -81, 36, -6, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 71}
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id: 686870
{'charpoly_factorization': [[[15376, 2976, 376, 26, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 73}
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id: 686871
{'charpoly_factorization': [[[841, 232, 34, 3, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 79}
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id: 686872
{'charpoly_factorization': [[[81, -81, 171, -21, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 83}
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id: 686873
{'charpoly_factorization': [[[20736, 1728, 144, 12, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 89}
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id: 686874
{'charpoly_factorization': [[[16, 16, 16, 6, 1], 1]], 'hecke_orbit_code': 481069891894, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '310.2.h.a', 'level': 310, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 9316188
{'hecke_orbit_code': 481069891894, 'n': 1, 'trace_an': 4}
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id: 9316189
{'hecke_orbit_code': 481069891894, 'n': 2, 'trace_an': 1}
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id: 9316190
{'hecke_orbit_code': 481069891894, 'n': 3, 'trace_an': -1}
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id: 9316191
{'hecke_orbit_code': 481069891894, 'n': 4, 'trace_an': -1}
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id: 9316192
{'hecke_orbit_code': 481069891894, 'n': 5, 'trace_an': 4}
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id: 9316193
{'hecke_orbit_code': 481069891894, 'n': 6, 'trace_an': -4}
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id: 9316194
{'hecke_orbit_code': 481069891894, 'n': 7, 'trace_an': 7}
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id: 9316195
{'hecke_orbit_code': 481069891894, 'n': 8, 'trace_an': 1}
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id: 9316196
{'hecke_orbit_code': 481069891894, 'n': 9, 'trace_an': 2}
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id: 9316197
{'hecke_orbit_code': 481069891894, 'n': 10, 'trace_an': 1}
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id: 9316198
{'hecke_orbit_code': 481069891894, 'n': 11, 'trace_an': -3}
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id: 9316199
{'hecke_orbit_code': 481069891894, 'n': 12, 'trace_an': -1}
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id: 9316200
{'hecke_orbit_code': 481069891894, 'n': 13, 'trace_an': 7}
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id: 9316201
{'hecke_orbit_code': 481069891894, 'n': 14, 'trace_an': -7}
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id: 9316202
{'hecke_orbit_code': 481069891894, 'n': 15, 'trace_an': -1}
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id: 9316203
{'hecke_orbit_code': 481069891894, 'n': 16, 'trace_an': -1}
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id: 9316204
{'hecke_orbit_code': 481069891894, 'n': 17, 'trace_an': -3}
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