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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': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [49, 0, 7, 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, [-7, 0, 1]], [11, [-27, 2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029346808332858, 'hecke_ring_generator_nbound': 7, '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, 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.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, 'minimal_twist': '570.2.i.i', 'nf_label': '4.0.7056.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{2})q^{2}+(1+\\beta _{2})q^{3}+\\beta _{2}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, 0], 'trace_hash': 2244849626376978888, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.116', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.090', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.776', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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-24, -22, 20, -12, 4], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 0, 1, 0], [1, 0, 1, 0], [0, 0, 1, 0], [1, 0, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0], [-1, 0, 0, 2], [-1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [-1, 0, -1, 0], [3, 1, 3, 0], [-1, 0, 0, 0], [-2, 1, 2, 0], [-1, 0, 0, 0], [0, -1, 0, 0], [-1, -2, -1, 0], [0, 0, 1, 0], [-1, 0, -1, 0], [0, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, -1, 0, -1], [0, -1, -1, -1], [-1, 0, 0, 0], [2, 0, 0, -2], [0, 0, -1, 0], [-1, -2, -1, 0], [0, 1, 3, 1], [0, -1, 0, 0], [-1, 0, -1, 0], [3, 0, 0, -2], [-4, 1, -2, 1], [0, 0, 0, 0], [-1, 0, -1, 0], [6, 1, 6, 0], [0, -1, 0, -1], [-6, 0, -6, 0], [0, -2, -1, -2], [-1, 0, 0, 0], [-1, 0, 0, 0], [0, 4, 2, 4], [0, 0, -1, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 1, 3, 1], [0, 0, 0, 0], [0, -1, -2, -1], [-1, 0, -1, 0], [-1, -2, -1, 0], [0, 0, 0, -1], [-4, 1, -2, 1], [1, 0, 0, -1], [0, -2, 0, 0], [-1, 0, -1, 0], [0, 3, -1, 3], [2, 2, 2, 0], [0, -1, 0, -1], [1, 0, 0, 0], [0, 0, 0, 0], [0, -2, -1, -2], [0, -1, -7, -1], [-3, 0, 0, 1], [-1, 0, 0, 0], [0, -1, 0, -1], [11, 1, 11, 0], [0, 0, -1, 0], [-11, -1, -11, 0], [3, 2, 3, 0], [-1, 0, 0, 0], [-2, 0, -4, 1], [14, 0, 0, -1], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, -1, 0], [-1, 0, -1, 0], [0, 1, 6, 1], [6, 0, 0, -4], [0, 0, 0, -1], [0, 1, 3, 1], [0, 0, -6, 0], [1, 0, 0, -1], [1, 0, 0, -2], [0, 5, 0, 5], [-1, 0, -1, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [2, 2, 2, 0], [-2, 0, 0, 4], [-4, 1, -2, 1], [1, 0, 0, 0], [-1, 1, -1, 0], [0, 0, 0, 0], [0, -2, -1, -2], [-1, 0, -1, 0]], 'ap': [[1, 0, 1, 0], [1, 0, 1, 0], [1, 0, 1, 0], [0, 0, 0, 1], [-1, 0, 0, 2], [0, 0, 0, 0], [3, 1, 3, 0], [-2, 1, 2, 0], [0, 0, 1, 0], [0, -1, -1, -1], [2, 0, 0, -2], [3, 0, 0, -2], [6, 1, 6, 0], [-6, 0, -6, 0], [0, 4, 2, 4], [0, -1, -2, -1], [0, -2, 0, 0], [0, 3, -1, 3], [0, -1, -7, -1], [11, 1, 11, 0], [-11, -1, -11, 0], [0, -2, 0, 0], [6, 0, 0, -4], [0, 5, 0, 5], [-1, 1, -1, 0], [0, 6, -4, 6], [-6, 0, 0, -3], [7, 0, 0, 1], [3, -1, 3, 0], [-3, 0, 0, 1], [0, -5, 2, -5], [13, -2, 13, 0], [0, 0, -12, 0], [0, 2, -2, 2], [3, 5, 3, 0], [-7, 0, 0, 5], [-3, 6, -3, 0], [-8, 0, 0, -2], [0, 4, 7, 4], [0, -3, 0, 0], [-7, 0, 0, -4], [0, 1, -17, 1], [6, 0, 0, 4], [-9, -1, -9, 0], [0, 0, 0, 1], [0, -3, 11, -3], [0, 7, 0, 0], [-4, -1, -4, 0], [-1, 0, 0, -9], [20, 0, 0, 2], [-10, -4, -10, 0], [-24, 0, 0, 0], [0, -4, 12, -4], [0, -4, 8, -4], [0, 0, 6, 0], [1, -2, 1, 0], [-5, -3, -5, 0], [4, -6, 4, 0], [-8, 0, 0, 0], [0, -9, 4, -9], [-4, -6, -4, 0], [-12, 0, 0, -1], [7, 7, 7, 0], [-4, 0, 0, 8], [0, -4, 8, -4], [0, -3, 12, -3], [-16, 0, 0, 1], [-12, 2, -12, 0], [-2, -4, -2, 0], [25, 0, 0, 3], [-15, 0, 0, -3], [3, -3, 3, 0], [0, -6, 14, -6], [13, 0, 0, -2], [2, 0, 0, -6], [26, 4, 26, 0], [0, -7, 1, -7], [1, 10, 1, 0], [-6, 0, -6, 0], [0, 4, -29, 4], [17, 0, 0, -8], [11, 3, 11, 0], [0, -1, 31, -1], [0, 3, -3, 3], [11, -3, 11, 0], [0, 3, -33, 3], [-20, 0, 0, -1], [15, 0, 0, 5], [14, 8, 14, 0], [32, 0, 0, 1], [-3, 0, 0, -7], [0, 3, -3, 3], [18, 0, 0, -1], [-13, -10, -13, 0], [-10, 1, -10, 0], [0, 12, -5, 12], [0, 2, -8, 2], [-4, 0, 0, -10], [0, 5, -27, 5], [0, 6, 2, 6], [0, -2, 24, -2], [0, -7, -6, -7], [32, 0, 0, 4], [8, 0, 0, 1], [0, 0, 0, -10], [-5, 0, 0, -3], [-38, 2, -38, 0], [0, -1, -33, -1], [0, -7, 1, -7], [-11, 0, 0, 2], [6, 0, 0, 5], [13, 6, 13, 0], [0, -4, 8, -4], [-26, 0, 0, -3], [0, -1, 19, -1], [16, 2, 16, 0], [-25, 9, -25, 0], [21, 0, 0, -6], [18, 0, 0, -3], [0, 4, -1, 4], [0, -4, -24, -4], [-22, 0, 0, 6], [-28, 0, 0, -5], [21, 0, 0, 3], [10, 0, 0, -9], [-2, -16, -2, 0], [0, -3, 17, -3], [18, -2, 18, 0], [4, -6, 4, 0], [-7, 0, 0, 2], [6, -17, 6, 0], [31, 4, 31, 0], [0, 0, -44, 0], [3, -10, 3, 0], [-2, 0, 0, 7], [0, 2, 14, 2], [0, -3, 6, -3], [-21, 0, 0, -11], [2, 0, 0, 15], [-24, 0, 0, 0], [0, -1, 30, -1], [0, -4, -10, -4], [0, 5, 18, 5], [0, -3, 39, -3], [-26, 0, 0, 10], [0, -6, 0, 0], [26, -4, 26, 0], [12, 0, 12, 0], [0, -7, 6, -7], [31, 0, 0, 4], [39, 2, 39, 0], [-38, 0, 0, -1], [0, -11, -17, -11], [0, -10, 20, -10], [6, 4, 6, 0], [8, 0, 0, -2], [-3, 0, 0, -5], [24, 3, 24, 0], [0, 3, 29, 3], [0, 5, 33, 5], [9, 13, 9, 0], [8, 8, 8, 0], [-18, -6, -18, 0], [-30, 12, -30, 0], [-9, 0, 0, -3], [33, 6, 33, 0], [9, 1, 9, 0], [0, 0, 11, 0]], 'char_orbit_index': 9, 'field_poly': [49, 0, 7, 0, 1], 'hecke_orbit_code': 36029346808332858, 'hecke_ring_character_values': [[191, [1, 0, 0, 0]], [457, [1, 0, 0, 0]], [211, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 7, 7], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 7, 0], [0, 0, 0, 7]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '570.2.i.i', '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: 389225
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '570.2.i.i', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '570.2.i.i', 'target_level': 570, 'twist_class_label': '570.2.i.i', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 389226
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '570.2.i.i', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '570.2.i.i', 'target_level': 570, 'twist_class_label': '570.2.i.i', 'twist_class_level': 570, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 389227
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '570.2.i.i', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1710.2.l.j', 'target_level': 1710, 'twist_class_label': '570.2.i.i', 'twist_class_level': 570, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 389228
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '570.2.i.i', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1710.2.l.j', 'target_level': 1710, 'twist_class_label': '570.2.i.i', '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: 1060025
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 2}
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id: 1060026
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 3}
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id: 1060027
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 5}
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id: 1060028
{'charpoly_factorization': [[[-7, 0, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 7}
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id: 1060029
{'charpoly_factorization': [[[-27, 2, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 11}
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id: 1060030
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029346808332858, 'p': 13}
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id: 1060031
{'charpoly_factorization': [[[4, -12, 34, -6, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 17}
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id: 1060032
{'charpoly_factorization': [[[361, 228, 67, 12, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 19}
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id: 1060033
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 23}
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id: 1060034
{'charpoly_factorization': [[[36, 12, 10, -2, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 29}
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id: 1060035
{'charpoly_factorization': [[[-24, -4, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 31}
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id: 1060036
{'charpoly_factorization': [[[-19, -6, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 37}
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id: 1060037
{'charpoly_factorization': [[[841, -348, 115, -12, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 41}
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id: 1060038
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 43}
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id: 1060039
{'charpoly_factorization': [[[11664, -432, 124, 4, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 47}
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id: 1060040
{'charpoly_factorization': [[[9, 12, 19, -4, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 53}
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id: 1060041
{'charpoly_factorization': [[[784, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 59}
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id: 1060042
{'charpoly_factorization': [[[3844, 124, 66, -2, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 61}
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id: 1060043
{'charpoly_factorization': [[[1764, -588, 154, -14, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 67}
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id: 1060044
{'charpoly_factorization': [[[12996, -2508, 370, -22, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 71}
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id: 1060045
{'charpoly_factorization': [[[12996, 2508, 370, 22, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 73}
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id: 1060046
{'charpoly_factorization': [[[784, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 79}
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id: 1060047
{'charpoly_factorization': [[[-76, -12, 1], 2]], 'hecke_orbit_code': 36029346808332858, 'p': 83}
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id: 1060048
{'charpoly_factorization': [[[30625, 0, 175, 0, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 89}
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id: 1060049
{'charpoly_factorization': [[[36, -12, 10, 2, 1], 1]], 'hecke_orbit_code': 36029346808332858, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 9, 'label': '570.2.i.i', '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: 202112000
{'hecke_orbit_code': 36029346808332858, 'n': 1, 'trace_an': 4}
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id: 202112001
{'hecke_orbit_code': 36029346808332858, 'n': 2, 'trace_an': 2}
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id: 202112002
{'hecke_orbit_code': 36029346808332858, 'n': 3, 'trace_an': 2}
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id: 202112003
{'hecke_orbit_code': 36029346808332858, 'n': 4, 'trace_an': -2}
-
id: 202112004
{'hecke_orbit_code': 36029346808332858, 'n': 5, 'trace_an': 2}
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id: 202112005
{'hecke_orbit_code': 36029346808332858, 'n': 6, 'trace_an': -2}
-
id: 202112006
{'hecke_orbit_code': 36029346808332858, 'n': 7, 'trace_an': 0}
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id: 202112007
{'hecke_orbit_code': 36029346808332858, 'n': 8, 'trace_an': -4}
-
id: 202112008
{'hecke_orbit_code': 36029346808332858, 'n': 9, 'trace_an': -2}
-
id: 202112009
{'hecke_orbit_code': 36029346808332858, 'n': 10, 'trace_an': -2}
-
id: 202112010
{'hecke_orbit_code': 36029346808332858, 'n': 11, 'trace_an': -4}
-
id: 202112011
{'hecke_orbit_code': 36029346808332858, 'n': 12, 'trace_an': -4}
-
id: 202112012
{'hecke_orbit_code': 36029346808332858, 'n': 13, 'trace_an': 0}
-
id: 202112013
{'hecke_orbit_code': 36029346808332858, 'n': 14, 'trace_an': 0}
-
id: 202112014
{'hecke_orbit_code': 36029346808332858, 'n': 15, 'trace_an': -2}
-
id: 202112015
{'hecke_orbit_code': 36029346808332858, 'n': 16, 'trace_an': -2}
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id: 202112016
{'hecke_orbit_code': 36029346808332858, 'n': 17, 'trace_an': 6}
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id: 202112017
{'hecke_orbit_code': 36029346808332858, 'n': 18, 'trace_an': -4}
-
id: 202112018
{'hecke_orbit_code': 36029346808332858, 'n': 19, 'trace_an': -12}
-
id: 202112019
{'hecke_orbit_code': 36029346808332858, 'n': 20, 'trace_an': -4}
-
id: 202112020
{'hecke_orbit_code': 36029346808332858, 'n': 21, 'trace_an': 0}
-
id: 202112021
{'hecke_orbit_code': 36029346808332858, 'n': 22, 'trace_an': -2}
-
id: 202112022
{'hecke_orbit_code': 36029346808332858, 'n': 23, 'trace_an': -2}
-
id: 202112023
{'hecke_orbit_code': 36029346808332858, 'n': 24, 'trace_an': -2}
-
id: 202112024
{'hecke_orbit_code': 36029346808332858, 'n': 25, 'trace_an': -2}
-
id: 202112025
{'hecke_orbit_code': 36029346808332858, 'n': 26, 'trace_an': 0}
-
id: 202112026
{'hecke_orbit_code': 36029346808332858, 'n': 27, 'trace_an': -4}
-
id: 202112027
{'hecke_orbit_code': 36029346808332858, 'n': 28, 'trace_an': 0}
-
id: 202112028
{'hecke_orbit_code': 36029346808332858, 'n': 29, 'trace_an': 2}
-
id: 202112029
{'hecke_orbit_code': 36029346808332858, 'n': 30, 'trace_an': -4}
-
id: 202112030
{'hecke_orbit_code': 36029346808332858, 'n': 31, 'trace_an': 8}
-
id: 202112031
{'hecke_orbit_code': 36029346808332858, 'n': 32, 'trace_an': 2}
-
id: 202112032
{'hecke_orbit_code': 36029346808332858, 'n': 33, 'trace_an': -2}
-
id: 202112033
{'hecke_orbit_code': 36029346808332858, 'n': 34, 'trace_an': -6}
-
id: 202112034
{'hecke_orbit_code': 36029346808332858, 'n': 35, 'trace_an': 0}
-
id: 202112035
{'hecke_orbit_code': 36029346808332858, 'n': 36, 'trace_an': -2}
-
id: 202112036
{'hecke_orbit_code': 36029346808332858, 'n': 37, 'trace_an': 12}
-
id: 202112037
{'hecke_orbit_code': 36029346808332858, 'n': 38, 'trace_an': -12}
-
id: 202112038
{'hecke_orbit_code': 36029346808332858, 'n': 39, 'trace_an': 0}
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