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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': 6, 'field_disc': -29654208, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 3], [131, 2]], 'field_poly': [12, 0, 49, 0, 14, 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, [31, -19, -1, 1]], [11, [6, -11, -4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532946435703354, 'hecke_ring_generator_nbound': 11, '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.j', '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.j', 'nf_label': '6.0.29654208.1', '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': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '570.2.i', 'trace_display': [-3, -3, -3, 2], 'trace_hash': 1539528863947537852, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.081', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.666', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.136', 'prec': 17}, {'__RealLiteral__': 0, 'data': '131.926', 'prec': 24}, {'__RealLiteral__': 0, 'data': '246.496', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5200.430', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [6, -3, -3, -3, -3, -3, 2, 6, -3, -3, 8, 6, -1, -1, -3, -3, 4, 6, -2, 6, -1, -4, 4, -3, -3, 2, 6, -1, -6, 6, 2, -3, -4, 4, -1, -3, -6, 1, 2, -3, -8, -1, -11, -4, 6, -8, 0, -3, 36, 6, 4, -1, -18, -3, -4, 2, 1, 12, -18, -3, 3, -1, -1, 6, 2, -4, -15, -8, -8, -1, 4, -3, 21, 3, 6, 1, 32, -1, 7, -3, -3, -8, 4, 2, 4, -11, 12, 8, 18, -3, -15, 4, -1, 0, 1, 6, -38, -18, -4, -3, -10, -8, 2, -1, -1, 36, 24, -3, -10, -4, 3, -1, 12, 1, -8, -6, -1, -18, -8, -3, 10, -6, -8, -1, 6, 2, -6, -3, -11, -1, 12, 8, -54, 30, -3, 4, 26, 4, -11, 2, 0, 4, -34, 6, 12, 21, -18, 3, 22, -3, -16, -2, -8, -16, -1, -1, -5, 7, 36, 6, 16, -3, 78, 16, -4, -2, -40, -1, 6, -8, 1, 22, -28, -6, -1, -4, -18, -36, -24, -3, -18, 30, -6, 4, 3, -1, 56, 0, 2, 1, 24, -3, 19, -38, -1, -18, 0, 8, 11, -3, 30, 20, 66, 4, -8, -1, 4, 2, -50, 2, -17, -18, 4, -12, -11, 6, 30, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [1, -1, 0, 0, -2, -1], [1, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, -1], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1], [-1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0], [-1, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1], [0, -3, 2, -1, 2, -1], [1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [-1, 1, 0, 0, 1, 0], [0, 1, 2, 1, 2, 1], [0, 0, 0, 0, 0, -1], [-1, 1, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0], [-1, 1, 0, 0, 0, 0], [-2, 2, 0, 0, -1, -3], [0, 0, 0, 1, 0, 1], [-4, 4, 0, 0, 1, 2], [0, -1, -1, 0, -1, 0], [1, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 0], [0, 0, -2, -2, -2, -2], [0, -1, 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0, 0, 0], [16, -16, 0, 0, 0, -3], [-3, 3, 0, 0, -5, -8], [0, -18, 3, -2, 3, -2], [9, -9, 0, 0, 8, -2], [6, 0, 1, -5, 0, 0], [0, 34, 5, 2, 5, 2], [0, 16, -3, -7, -3, -7], [-9, 0, 9, 5, 0, 0], [-16, 0, -5, -1, 0, 0], [-30, 0, 2, 2, 0, 0], [0, 2, -1, -5, -1, -5], [0, 34, 4, 0, 4, 0], [0, 18, -5, -1, -5, -1], [0, -23, 4, -3, 4, -3], [-12, 0, 11, 4, 0, 0], [-4, 4, 0, 0, -10, -2], [4, -4, 0, 0, 5, 2], [-36, 36, 0, 0, -4, -4], [0, -14, 4, 1, 4, 1], [-5, 0, 1, -6, 0, 0], [23, -23, 0, 0, -2, -4], [18, 0, 1, -5, 0, 0], [0, -27, 11, -3, 11, -3], [0, -18, 6, 0, 6, 0], [-18, 18, 0, 0, -6, -4], [16, 0, -8, -6, 0, 0], [7, 0, 3, 1, 0, 0], [6, -6, 0, 0, 5, -7], [0, -3, -11, -7, -11, -7], [0, -29, -6, -7, -6, -7], [17, -17, 0, 0, -2, -3], [4, -4, 0, 0, 0, -8], [-36, 36, 0, 0, 1, 0], [0, 0, 0, 0, -6, -6], [-11, 0, -14, -9, 0, 0], [27, -27, 0, 0, 1, -2], [15, -15, 0, 0, 3, 11], [0, -3, 14, 6, 14, 6]], 'char_orbit_index': 9, 'field_poly': [12, 0, 49, 0, 14, 0, 1], 'hecke_orbit_code': 40532946435703354, 'hecke_ring_character_values': [[191, [1, 0, 0, 0, 0, 0]], [457, [1, 0, 0, 0, 0, 0]], [211, [0, -1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 4, 1, 2, 4, 4], 'hecke_ring_inverse_denominators': [1, 3, 1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 2, 2], [-5, 0, 1, 0, 0, 0], [-6, 12, -7, -7, -14, -14], [35, 0, -9, -2, 0, 0], [72, -144, 55, 49, 110, 98]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [2, 7, 0, 1, 0, 0], [5, 0, 1, 0, 0, 0], [-10, 0, -9, 0, -1, 0], [-10, 35, -2, 12, 0, 1], [10, -29, 9, -12, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '570.2.i.j', '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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-144, 12, -40, -40, -32, -40, 0, -80, 80, 8, 108, -32, -144, 40, 168, 24, -12, -24, -12, -80, 100, 0, 112, 64, 8, -32, -76, -112, 56, 32, 96, -48, -288, 0, 100, -132, -48, -52, -128, 136, -272, 0, 12, -48, 104, -4, -48, -48, 48, -40, -240, 8, -4, 136, -96, 44, -56, 0, -164, 96, 36, -8, 64, 88, 72, 56, 16, -104, 56, 16, 72, -8, -48, -4, 104, 8, 184, 0, -40, 88, 64, 0, -240, 112, 144, -96, -80, 8, 104, 16, 80, 8, -308, -8, -100, 64, 0, -48, 8, -8, 16, -56, -136, 16, 48, 0, -4, 0, 88, -108, 104, -48, 4, 48, 32, 20, -8, 36, 92, -8, 0, 0, 296, -32, -28, 16, 80, 112, -48, -16, -92, 76, 4, -40, -416, 0, 64, -12, -96, -96, 224, 32, -80, -8, 36, 64, 112, 56, 72, 48, 24, -8, 304, -12, -432, -56, 16, 36, 112, 0, -120, -32, 72, 48, -96, -16, -4, 132, 20, 8, -92, 0, -16, -128, -72, 16, 96, 0, -36, 192, -16, 24, -168, -112, -176, 0, -8, 40, 144, 36, -296, 0, 80, -40, 256, 4, 24, 56, -208, 240, 80, 0, -120, -320, 8, 68, 128, 72, -76, -160, 40, 48, -120, -4, -156, 60, 12, -8, -16, 40, 108, 32, 0, 136, 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: 389229
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '570.2.i.j', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '570.2.i.j', 'target_level': 570, 'twist_class_label': '570.2.i.j', 'twist_class_level': 570, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 389230
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '570.2.i.j', 'source_level': 570, 'target_char_orbit': 9, 'target_dim': 6, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '570.2.i.j', 'target_level': 570, 'twist_class_label': '570.2.i.j', 'twist_class_level': 570, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 389231
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '570.2.i.j', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1710.2.l.q', 'target_level': 1710, 'twist_class_label': '570.2.i.j', 'twist_class_level': 570, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 389232
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 6, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '570.2.i.j', 'source_level': 570, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1710.2.l.q', 'target_level': 1710, 'twist_class_label': '570.2.i.j', '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: 1060050
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 40532946435703354, 'p': 2}
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id: 1060051
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 40532946435703354, 'p': 3}
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id: 1060052
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 40532946435703354, 'p': 5}
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id: 1060053
{'charpoly_factorization': [[[31, -19, -1, 1], 2]], 'hecke_orbit_code': 40532946435703354, 'p': 7}
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id: 1060054
{'charpoly_factorization': [[[6, -11, -4, 1], 2]], 'hecke_orbit_code': 40532946435703354, 'p': 11}
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id: 1060055
{'charpoly_factorization': [[[64, -128, 248, -32, 17, 1, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 13}
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id: 1060056
{'charpoly_factorization': [[[46656, -10800, 3364, -232, 66, -4, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 17}
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id: 1060057
{'charpoly_factorization': [[[6859, 722, 152, 140, 8, 2, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 19}
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id: 1060058
{'charpoly_factorization': [[[36, -66, 145, 32, 27, -4, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 23}
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id: 1060059
{'charpoly_factorization': [[[467856, 69768, 14508, 756, 138, 6, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 29}
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id: 1060060
{'charpoly_factorization': [[[-8, -16, -1, 1], 2]], 'hecke_orbit_code': 40532946435703354, 'p': 31}
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id: 1060061
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 40532946435703354, 'p': 37}
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id: 1060062
{'charpoly_factorization': [[[1077444, 129750, 23929, 1076, 189, 8, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 41}
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id: 1060063
{'charpoly_factorization': [[[1296, 864, 972, -192, 145, 11, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 43}
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id: 1060064
{'charpoly_factorization': [[[20736, 12096, 7056, 288, 84, 0, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 47}
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id: 1060065
{'charpoly_factorization': [[[11664, 9396, 5625, 1350, 237, 18, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 53}
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id: 1060066
{'charpoly_factorization': [[[36, 6, 1], 3]], 'hecke_orbit_code': 40532946435703354, 'p': 59}
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id: 1060067
{'charpoly_factorization': [[[4, -36, 330, 50, 27, -3, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 61}
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id: 1060068
{'charpoly_factorization': [[[4, 108, 2886, 806, 171, 15, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 67}
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id: 1060069
{'charpoly_factorization': [[[46656, -10800, 3364, -232, 66, -4, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 71}
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id: 1060070
{'charpoly_factorization': [[[45796, -26964, 11382, -2218, 315, -21, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 73}
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id: 1060071
{'charpoly_factorization': [[[144, 0, 84, -24, 49, -7, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 79}
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id: 1060072
{'charpoly_factorization': [[[1032, -260, -2, 1], 2]], 'hecke_orbit_code': 40532946435703354, 'p': 83}
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id: 1060073
{'charpoly_factorization': [[[11664, -9396, 5625, -1350, 237, -18, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 89}
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id: 1060074
{'charpoly_factorization': [[[3283344, 837144, 144588, 13932, 982, 38, 1], 1]], 'hecke_orbit_code': 40532946435703354, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 10, 'label': '570.2.i.j', 'level': 570, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 209145000
{'hecke_orbit_code': 40532946435703354, 'n': 1, 'trace_an': 6}
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id: 209145001
{'hecke_orbit_code': 40532946435703354, 'n': 2, 'trace_an': -3}
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id: 209145002
{'hecke_orbit_code': 40532946435703354, 'n': 3, 'trace_an': -3}
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id: 209145003
{'hecke_orbit_code': 40532946435703354, 'n': 4, 'trace_an': -3}
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id: 209145004
{'hecke_orbit_code': 40532946435703354, 'n': 5, 'trace_an': -3}
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id: 209145005
{'hecke_orbit_code': 40532946435703354, 'n': 6, 'trace_an': -3}
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id: 209145006
{'hecke_orbit_code': 40532946435703354, 'n': 7, 'trace_an': 2}
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id: 209145007
{'hecke_orbit_code': 40532946435703354, 'n': 8, 'trace_an': 6}
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id: 209145008
{'hecke_orbit_code': 40532946435703354, 'n': 9, 'trace_an': -3}
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id: 209145009
{'hecke_orbit_code': 40532946435703354, 'n': 10, 'trace_an': -3}
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id: 209145010
{'hecke_orbit_code': 40532946435703354, 'n': 11, 'trace_an': 8}
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id: 209145011
{'hecke_orbit_code': 40532946435703354, 'n': 12, 'trace_an': 6}
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id: 209145012
{'hecke_orbit_code': 40532946435703354, 'n': 13, 'trace_an': -1}
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id: 209145013
{'hecke_orbit_code': 40532946435703354, 'n': 14, 'trace_an': -1}
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id: 209145014
{'hecke_orbit_code': 40532946435703354, 'n': 15, 'trace_an': -3}
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id: 209145015
{'hecke_orbit_code': 40532946435703354, 'n': 16, 'trace_an': -3}
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id: 209145016
{'hecke_orbit_code': 40532946435703354, 'n': 17, 'trace_an': 4}
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id: 209145017
{'hecke_orbit_code': 40532946435703354, 'n': 18, 'trace_an': 6}
-
id: 209145018
{'hecke_orbit_code': 40532946435703354, 'n': 19, 'trace_an': -2}
-
id: 209145019
{'hecke_orbit_code': 40532946435703354, 'n': 20, 'trace_an': 6}
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id: 209145020
{'hecke_orbit_code': 40532946435703354, 'n': 21, 'trace_an': -1}
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id: 209145021
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id: 209145998
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id: 209145999
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