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mf_newforms • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [570, 3, [191, 457, 211], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 121, 'conrey_indexes': [121, 391], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [-5, -2, 1]], [11, [3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518547926221370, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '570.2.i.f', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.i.f', 'nf_label': '4.0.576.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(1-\\beta _{1})q^{3}-\\beta _{1}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '570.2.i', 'trace_display': [-2, 2, -2, 4], 'trace_hash': 487583871706301770, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.133', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.322', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [-1, 1, 0, 0], [1, -1, 0, 0], [0, -1, 0, 0], [-1, 1, 0, 0], [0, 1, 0, 0], [1, 0, 0, -1], [1, 0, 0, 0], [0, -1, 0, 0], [0, -1, 0, 0], [-3, 0, 0, 0], [-1, 0, 0, 0], [0, 0, -2, 0], [-1, 1, -1, 1], [0, 1, 0, 0], [-1, 1, 0, 0], [4, -4, 1, -1], [1, 0, 0, 0], [-1, 1, -1, -1], [1, 0, 0, 0], [1, -1, 1, -1], [3, -3, 0, 0], [0, 1, 2, 0], [1, -1, 0, 0], [0, -1, 0, 0], [0, 0, 0, 2], [-1, 0, 0, 0], [0, -1, 1, 0], [0, -2, -3, 0], [-1, 0, 0, 0], [4, 0, 0, -2], [0, -1, 0, 0], [-3, 3, 0, 0], [0, 4, -1, 0], [-1, 1, -1, 1], [-1, 1, 0, 0], [-5, 0, 0, -2], [0, -1, -1, 2], [0, 0, 0, -2], [-1, 1, 0, 0], [3, -3, 3, -3], [0, 1, -1, 0], [2, -2, -4, 4], [0, 3, 0, 0], [1, 0, 0, 0], [-1, 0, 0, -2], [0, 6, -2, 0], [0, 1, 0, 0], [0, 0, 0, -2], [1, 0, 0, 0], [0, -4, 1, 0], [0, 0, 2, -2], [0, 5, 1, 0], [1, -1, 0, 0], [3, -3, 0, 0], [1, 0, 0, -1], [0, 1, 1, -2], [2, 0, 0, 3], [6, -6, 0, 0], [1, -1, 0, 0], [0, -10, -1, 0], [-4, 4, -2, 2], [0, -1, 1, 0], [1, 0, 0, 0], [0, 0, 0, 2], [0, -3, 0, 0], [0, 0, 3, 0], [-4, 0, 0, 1], [1, 0, 0, 2], [0, -1, 1, 0], [-4, 4, -3, 3], [0, -1, 0, 0], [-8, 8, 1, -1], [5, -5, -2, 2], [-1, 0, 0, 0], [1, 0, 2, -1], [-3, 0, 0, 3], [0, 0, -2, 2], [-2, 2, 2, -2], [0, -1, 0, 0], [-1, 1, 0, 0], [0, 3, -3, 0], [2, 0, 0, 4], [-1, 0, 0, 1], [0, 4, -1, 0], [0, 2, 4, 0], [-2, 0, 0, -3], [-3, 0, 0, 0], [0, 3, 1, 0], [-1, 1, 0, 0], [0, 12, -2, 0], [1, -1, -2, 2], [4, -4, 2, -2], [-6, 0, 0, 2], [0, -1, -1, 2], [-1, 0, 0, 0], [16, -16, -1, 1], [0, 0, -2, 2], [0, 3, 0, 0], [-1, 1, 0, 0]], 'ap': [[-1, 1, 0, 0], [1, -1, 0, 0], [-1, 1, 0, 0], [1, 0, 0, -1], [-3, 0, 0, 0], [0, 0, -2, 0], [4, -4, 1, -1], [-1, 1, -1, -1], [0, 1, 2, 0], [0, -2, -3, 0], [4, 0, 0, -2], [-5, 0, 0, -2], [3, -3, 3, -3], [2, -2, -4, 4], [0, 6, -2, 0], [0, 5, 1, 0], [6, -6, 0, 0], [0, -10, -1, 0], [0, 0, 3, 0], [-4, 4, -3, 3], [-8, 8, 1, -1], [-2, 2, 2, -2], [2, 0, 0, 4], [0, 3, 1, 0], [16, -16, -1, 1], [0, 6, -2, 0], [-1, 0, 0, 5], [-10, 0, 0, 3], [6, -6, 3, -3], [-12, 0, 0, 1], [0, -7, 3, 0], [3, -3, 0, 0], [0, 12, 0, 0], [0, 0, 6, 0], [-16, 16, -1, 1], [-12, 0, 0, 3], [-11, 11, 4, -4], [2, 0, 0, 6], [0, -5, 6, 0], [7, -7, 1, -1], [-11, 0, 0, -4], [0, 0, -7, 0], [6, 0, 0, -4], [14, -14, -3, 3], [9, 0, 0, -1], [0, -4, -1, 0], [19, -19, -3, 3], [1, -1, -1, 1], [-4, 0, 0, -3], [-6, 0, 0, 6], [18, -18, -4, 4], [-20, 0, 0, -4], [0, 8, -6, 0], [0, 12, -4, 0], [0, -6, -4, 0], [-15, 15, -2, 2], [12, -12, -5, 5], [10, -10, -2, 2], [-8, 0, 0, -2], [0, -7, -3, 0], [-2, 2, -6, 6], [-9, 0, 0, -1], [-2, 2, -5, 5], [0, 0, 0, -4], [0, -12, -8, 0], [0, -7, -1, 0], [11, 0, 0, 3], [2, -2, -10, 10], [-2, 2, 4, -4], [2, 0, 0, -9], [-28, 0, 0, -3], [-24, 24, 1, -1], [0, -16, -2, 0], [1, 0, 0, -2], [8, 0, 0, -6], [-6, 6, 10, -10], [0, 6, 7, 0], [13, -13, 10, -10], [-6, 6, -4, 4], [0, -15, 10, 0], [17, 0, 0, 2], [26, -26, 3, -3], [0, -18, 3, 0], [0, 4, -3, 0], [4, -4, 3, -3], [0, -14, 5, 0], [21, 0, 0, -5], [10, 0, 0, -9], [18, -18, -4, 4], [-23, 0, 0, 3], [-28, 0, 0, -5], [0, 12, -9, 0], [-11, 0, 0, -7], [25, -25, 4, -4], [-13, 13, -1, 1], [0, -17, 6, 0], [0, -2, 2, 0], [6, 0, 0, -2], [0, 14, -7, 0], [0, -24, 2, 0], [0, 18, -6, 0], [0, 11, 3, 0], [0, 0, 0, 12], [-5, 0, 0, -1], [-18, 0, 0, 4], [-6, 0, 0, 7], [8, -8, -10, 10], [0, 18, 7, 0], [0, -18, -3, 0], [19, 0, 0, 0], [27, 0, 0, 1], [13, -13, 10, -10], [0, 4, -8, 0], [1, 0, 0, 9], [0, 14, 5, 0], [26, -26, 6, -6], [-8, 8, 5, -5], [5, 0, 0, -2], [-33, 0, 0, -3], [0, -3, -8, 0], [0, 4, 4, 0], [-16, 0, 0, -10], [3, 0, 0, 11], [-30, 0, 0, 5], [-29, 0, 0, -1], [-14, 14, -4, 4], [0, -18, -11, 0], [20, -20, -6, 6], [-18, 18, -4, 4], [17, 0, 0, -8], [-11, 11, 11, -11], [5, -5, -6, 6], [0, -4, 20, 0], [-25, 25, -12, 12], [19, 0, 0, 1], [0, 24, 4, 0], [0, 23, 9, 0], [-2, 0, 0, 9], [9, 0, 0, 3], [-4, 0, 0, 10], [0, 11, -13, 0], [0, -22, 0, 0], [0, 19, -7, 0], [0, 4, 7, 0], [28, 0, 0, -2], [-30, 30, 10, -10], [-14, 14, -12, 12], [24, -24, -8, 8], [0, -11, -9, 0], [29, 0, 0, 0], [-9, 9, 10, -10], [15, 0, 0, 9], [0, -20, -11, 0], [0, 34, 4, 0], [18, -18, -8, 8], [-10, 0, 0, -18], [-18, 0, 0, 1], [-37, 37, -1, 1], [0, 4, 9, 0], [0, 18, -1, 0], [22, -22, -1, 1], [12, -12, -12, 12], [-8, 8, 2, -2], [-18, 18, -6, 6], [18, 0, 0, -11], [-15, 15, -16, 16], [-14, 14, 3, -3], [0, -5, -8, 0]], 'char_orbit_index': 9, 'field_poly': [4, 0, -2, 0, 1], 'hecke_orbit_code': 22518547926221370, 'hecke_ring_character_values': [[191, [1, 0, 0, 0]], [457, [1, 0, 0, 0]], [211, [0, -1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 2, 0, 0], [0, 0, 4, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 2, 0, 1], [0, 4, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '570.2.i.f', 'level': 570, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2280, 'analytic_conductor': 4.551472915212982, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [570, 3, [191, 457, 211], [3, 3, 1]], 'conrey_index': 121, 'cusp_dim': 224, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 549789368890, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 6], 'label': '570.2.i', 'level': 570, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 256, 'mf_new_dim': 32, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, -4, 0, -8], 'traces': [32, 0, -4, -16, 0, 0, -8, 0, -16, -4, -8, 8, -4, -12, 0, -16, 16, 0, -4, 0, 4, 0, -8, 0, -16, 0, 8, 4, -8, 0, 24, 0, -8, 8, 4, -16, 8, 0, -24, -4, 12, 8, 12, 4, 0, -24, 16, 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24, 8, -76, 8, -16, 164, 176, 4, -60, -8, 20, 40, -32, -64, 44, -72, -40, 8], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 389213
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '570.2.i.f', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '570.2.i.f', 'target_level': 570, 'twist_class_label': '570.2.i.f', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 389214
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '570.2.i.f', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '570.2.i.f', 'target_level': 570, 'twist_class_label': '570.2.i.f', 'twist_class_level': 570, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 389215
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '570.2.i.f', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1710.2.l.n', 'target_level': 1710, 'twist_class_label': '570.2.i.f', 'twist_class_level': 570, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 389216
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '570.2.i.f', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1710.2.l.n', 'target_level': 1710, 'twist_class_label': '570.2.i.f', 'twist_class_level': 570, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1059950
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 2}
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id: 1059951
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 3}
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id: 1059952
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 5}
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id: 1059953
{'charpoly_factorization': [[[-5, -2, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 7}
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id: 1059954
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 22518547926221370, 'p': 11}
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id: 1059955
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 13}
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id: 1059956
{'charpoly_factorization': [[[100, -80, 54, -8, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 17}
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id: 1059957
{'charpoly_factorization': [[[361, 38, -15, 2, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 19}
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id: 1059958
{'charpoly_factorization': [[[529, 46, 27, -2, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 23}
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id: 1059959
{'charpoly_factorization': [[[2500, -200, 66, 4, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 29}
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id: 1059960
{'charpoly_factorization': [[[-8, -8, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 31}
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id: 1059961
{'charpoly_factorization': [[[1, 10, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 37}
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id: 1059962
{'charpoly_factorization': [[[2025, 270, 81, -6, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 41}
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id: 1059963
{'charpoly_factorization': [[[8464, 368, 108, -4, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 43}
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id: 1059964
{'charpoly_factorization': [[[144, -144, 132, -12, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 47}
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id: 1059965
{'charpoly_factorization': [[[361, -190, 81, -10, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 53}
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id: 1059966
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 59}
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id: 1059967
{'charpoly_factorization': [[[8836, 1880, 306, 20, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 61}
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id: 1059968
{'charpoly_factorization': [[[2916, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 67}
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id: 1059969
{'charpoly_factorization': [[[1444, -304, 102, 8, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 71}
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id: 1059970
{'charpoly_factorization': [[[3364, 928, 198, 16, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 73}
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id: 1059971
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 79}
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id: 1059972
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 22518547926221370, 'p': 83}
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id: 1059973
{'charpoly_factorization': [[[9, -18, 33, -6, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 89}
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id: 1059974
{'charpoly_factorization': [[[62500, -8000, 774, -32, 1], 1]], 'hecke_orbit_code': 22518547926221370, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 6, 'label': '570.2.i.f', 'level': 570, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 172849000
{'hecke_orbit_code': 22518547926221370, 'n': 1, 'trace_an': 4}
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id: 172849001
{'hecke_orbit_code': 22518547926221370, 'n': 2, 'trace_an': -2}
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id: 172849002
{'hecke_orbit_code': 22518547926221370, 'n': 3, 'trace_an': 2}
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id: 172849003
{'hecke_orbit_code': 22518547926221370, 'n': 4, 'trace_an': -2}
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id: 172849004
{'hecke_orbit_code': 22518547926221370, 'n': 5, 'trace_an': -2}
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id: 172849005
{'hecke_orbit_code': 22518547926221370, 'n': 6, 'trace_an': 2}
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id: 172849006
{'hecke_orbit_code': 22518547926221370, 'n': 7, 'trace_an': 4}
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id: 172849007
{'hecke_orbit_code': 22518547926221370, 'n': 8, 'trace_an': 4}
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id: 172849008
{'hecke_orbit_code': 22518547926221370, 'n': 9, 'trace_an': -2}
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id: 172849009
{'hecke_orbit_code': 22518547926221370, 'n': 10, 'trace_an': -2}
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id: 172849010
{'hecke_orbit_code': 22518547926221370, 'n': 11, 'trace_an': -12}
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id: 172849011
{'hecke_orbit_code': 22518547926221370, 'n': 12, 'trace_an': -4}
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id: 172849012
{'hecke_orbit_code': 22518547926221370, 'n': 13, 'trace_an': 0}
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id: 172849013
{'hecke_orbit_code': 22518547926221370, 'n': 14, 'trace_an': -2}
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id: 172849014
{'hecke_orbit_code': 22518547926221370, 'n': 15, 'trace_an': 2}
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id: 172849015
{'hecke_orbit_code': 22518547926221370, 'n': 16, 'trace_an': -2}
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id: 172849016
{'hecke_orbit_code': 22518547926221370, 'n': 17, 'trace_an': 8}
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id: 172849017
{'hecke_orbit_code': 22518547926221370, 'n': 18, 'trace_an': 4}
-
id: 172849018
{'hecke_orbit_code': 22518547926221370, 'n': 19, 'trace_an': -2}
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id: 172849019
{'hecke_orbit_code': 22518547926221370, 'n': 20, 'trace_an': 4}
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id: 172849020
{'hecke_orbit_code': 22518547926221370, 'n': 21, 'trace_an': 2}
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id: 172849021
{'hecke_orbit_code': 22518547926221370, 'n': 22, 'trace_an': 6}
-
id: 172849022
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id: 172849998
{'hecke_orbit_code': 22518547926221370, 'n': 999, 'trace_an': 20}
-
id: 172849999
{'hecke_orbit_code': 22518547926221370, 'n': 1000, 'trace_an': 4}