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mf_newforms • Show schema
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{'Nk2': 26400, 'analytic_conductor': 52.701265334045054, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [6600, 2, [4951, 3301, 2201, 2377, 1201], [2, 2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1849, 'dim': 4, 'field_disc': 4624, 'field_disc_factorization': [[2, 4], [17, 2]], 'field_poly': [16, 0, 9, 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, [4, 0, 21, 0, 1]], [13, [169, 0, 42, 0, 1]], [17, [256, 0, 36, 0, 1]], [19, [3, 1]], [29, [-26, 7, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093796503624136, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6600.2.d.ba', 'level': 6600, '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': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '6600.2.a.bg', 'nf_label': '4.0.4624.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{3}+(\\beta _{1}+3\\beta _{2})q^{7}-q^{9}+q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6600.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2218424291986737483, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.998', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '84.170', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2499.565', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 10, 0, 0, 0, 0, 0, 0, 0, -14, 0, 12, 0, 0, 0, 0, 0, 0, 0, -8, 0, -24, 0, 0, 0, 0, 0, 0, 0, -14, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 14, 0, 0, 0, 0, 0, 0, 0, -24, 0, 4, 0, 0, 0, 0, 0, 0, 0, -22, 0, -14, 0, 0, 0, 0, 0, 0, 0, -4, 0, -22, 0, 0, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 0, 0, -44, 0, 4, 0, 0, 0, 0, 0, 0, 0, -8, 0, -26, 0, 0, 0, 0, 0, 0, 0, -42, 0, -16, 0, 0, 0, 0, 0, 0, 0, 32, 0, -82, 0, 0, 0, 0, 0, 0, 0, 12, 0, -56, 0, 0, 0, 0, 0, 0, 0, -32, 0, 12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 10, 0, 0, 0, 0, 0, 0, 0, -10, 0, -42, 0, 0, 0, 0, 0, 0, 0, -44, 0, -26, 0, 0, 0, 0, 0, 0, 0, -12, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 94, 0, 10, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 26400, 'analytic_conductor': 52.701265334045054, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [6600, 2, [4951, 3301, 2201, 2377, 1201], [2, 2, 2, 1, 2]], 'conrey_index': 1849, 'cusp_dim': 1392, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 19, 29], 'hecke_orbit_code': 206191991240, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6], 'label': '6600.2.d', 'level': 6600, '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': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 1488, 'mf_new_dim': 88, 'num_forms': 33, 'prim_orbit_index': 2, 'relative_dim': 88, 'sturm_bound': 2880, 'trace_bound': 41, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, 0, 0, 0, 0, -56, 0, 88, 0, 0, 0, 0, 0, 0, 0, 8, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -56, 0, 24, 0, 0, 0, 0, 0, 0, 0, 64, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -56, 0, 144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, -8, 0, 0, 0, 0, 0, 0, 0, -72, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 104, 0, 0, 0, 0, 0, 0, 0, -16, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 112, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 96, 0, 0, 0, 0, 0, 0, 0, 8, 0, -368, 0, 0, 0, 0, 0, 0, 0, 8, 0, 56, 0, 0, 0, 0, 0, 0, 0, -120, 0, -160, 0, 0, 0, 0, 0, 0, 0, -40, 0, -72, 0, 0, 0, 0, 0, 0, 0, -104, 0, 88, 0, 0, 0, 0, 0, 0, 0, 240, 0, 120, 0, 0, 0, 0, 0, 0, 0, 16, 0, 176, 0, 0, 0, 0, 0, 0, 0, -160, 0, 72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 40, 0, 16, 0, 0, 0, 0, 0, 0, 0, -160, 0, 272, 0, 0, 0, 0, 0, 0, 0, -56, 0, -32, 0, 0, 0, 0, 0, 0, 0, 152, 0, 160, 0, 0, 0, 0, 0, 0, 0, 40, 0, 352, 0, 0, 0, 0, 0, 0, 0, -64, 0, -56, 0, 0, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 8, 0, -40, 0, 0, 0, 0, 0, 0, 0, 160, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, -48, 0, 0, 0, 0, 0, 0, 0, -64, 0, -48, 0, 0, 0, 0, 0, 0, 0, -264, 0, -80, 0, 0, 0, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 0, 0, 0, 0, -32, 0, -432, 0, 0, 0, 0, 0, 0, 0, -104, 0, -16, 0, 0, 0, 0, 0, 0, 0, 208, 0, -136, 0, 0, 0, 0, 0, 0, 0, -32, 0, -88, 0, 0, 0, 0, 0, 0, 0, 24, 0, 120, 0, 0, 0, 0, 0, 0, 0, 96, 0, -152, 0, 0, 0, 0, 0, 0, 0, 40, 0, -24, 0, 0, 0, 0, 0, 0, 0, 232, 0, 96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 240, 0, 0, 0, 0, 0, 0, 0, 176, 0, 232, 0, 0, 0, 0, 0, 0, 0, -16, 0, 56, 0, 0, 0, 0, 0, 0, 0, -72, 0, 272, 0, 0, 0, 0, 0, 0, 0, -88, 0, 240, 0, 0, 0, 0, 0, 0, 0, -136, 0, 40, 0, 0, 0, 0, 0, 0, 0, -224, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 88, 0, 0, 0, 0, 0, 0, 0, -208, 0, -88, 0, 0, 0, 0, 0, 0, 0, -160, 0, 96, 0, 0, 0, 0, 0, 0, 0, -112, 0, -8, 0, 0, 0, 0, 0, 0, 0, 280, 0, -256, 0, 0, 0, 0, 0, 0, 0, -56, 0, -72, 0, 0, 0, 0, 0, 0, 0, -160, 0, -80, 0, 0, 0, 0, 0, 0, 0, 184, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 112, 0, -72, 0, 0, 0, 0, 0, 0, 0, -32, 0, 472, 0, 0, 0, 0, 0, 0, 0, 144, 0, -120, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 384, 0, 0, 0, 0, 0, 0, 0, -56, 0, -104, 0, 0, 0, 0, 0, 0, 0, 96, 0, 176, 0, 0, 0, 0, 0, 0, 0, 296, 0, -408, 0, 0, 0, 0, 0, 0, 0, -32, 0, 200, 0, 0, 0, 0, 0, 0, 0, -160, 0, 128, 0, 0, 0, 0, 0, 0, 0, -272, 0, -216, 0, 0, 0, 0, 0, 0, 0, 104, 0, -464, 0, 0, 0, 0, 0, 0, 0, -96, 0, 56, 0, 0, 0, 0, 0, 0, 0, 272, 0, -264, 0, 0, 0, 0, 0, 0, 0, -24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1311607
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6600.2.d.ba', 'source_level': 6600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '6600.2.a.bg', 'target_level': 6600, 'twist_class_label': '6600.2.a.bg', 'twist_class_level': 6600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1311608
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6600.2.d.ba', 'source_level': 6600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': True, 'target_label': '6600.2.a.bm', 'target_level': 6600, 'twist_class_label': '6600.2.a.bg', 'twist_class_level': 6600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1311609
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6600.2.d.ba', 'source_level': 6600, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '6600.2.d.ba', 'target_level': 6600, 'twist_class_label': '6600.2.a.bg', 'twist_class_level': 6600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1311610
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 27, 'source_is_minimal': False, 'source_label': '6600.2.d.ba', 'source_level': 6600, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '6600.2.d.ba', 'target_level': 6600, 'twist_class_label': '6600.2.a.bg', 'twist_class_level': 6600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4235200
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 2}
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id: 4235201
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 3}
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id: 4235202
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 5}
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id: 4235203
{'charpoly_factorization': [[[4, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 7}
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id: 4235204
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 11}
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id: 4235205
{'charpoly_factorization': [[[169, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 13}
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id: 4235206
{'charpoly_factorization': [[[256, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 17}
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id: 4235207
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 19}
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id: 4235208
{'charpoly_factorization': [[[1444, 0, 77, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 23}
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id: 4235209
{'charpoly_factorization': [[[-26, 7, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 29}
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id: 4235210
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 31}
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id: 4235211
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 37}
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id: 4235212
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 117093796503624136, 'p': 41}
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id: 4235213
{'charpoly_factorization': [[[169, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 43}
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id: 4235214
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 47}
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id: 4235215
{'charpoly_factorization': [[[64, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 53}
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id: 4235216
{'charpoly_factorization': [[[-152, 2, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 59}
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id: 4235217
{'charpoly_factorization': [[[-38, 1, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 61}
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id: 4235218
{'charpoly_factorization': [[[1444, 0, 93, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 67}
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id: 4235219
{'charpoly_factorization': [[[8, -7, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 71}
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id: 4235220
{'charpoly_factorization': [[[68, 0, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 73}
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id: 4235221
{'charpoly_factorization': [[[-32, 12, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 79}
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id: 4235222
{'charpoly_factorization': [[[676, 0, 101, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 83}
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id: 4235223
{'charpoly_factorization': [[[26, 11, 1], 2]], 'hecke_orbit_code': 117093796503624136, 'p': 89}
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id: 4235224
{'charpoly_factorization': [[[2209, 0, 162, 0, 1], 1]], 'hecke_orbit_code': 117093796503624136, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 27, 'label': '6600.2.d.ba', 'level': 6600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 261579000
{'hecke_orbit_code': 117093796503624136, 'n': 1, 'trace_an': 4}
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id: 261579001
{'hecke_orbit_code': 117093796503624136, 'n': 2, 'trace_an': 0}
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id: 261579002
{'hecke_orbit_code': 117093796503624136, 'n': 3, 'trace_an': 0}
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id: 261579003
{'hecke_orbit_code': 117093796503624136, 'n': 4, 'trace_an': 0}
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id: 261579004
{'hecke_orbit_code': 117093796503624136, 'n': 5, 'trace_an': 0}
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id: 261579005
{'hecke_orbit_code': 117093796503624136, 'n': 6, 'trace_an': 0}
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id: 261579006
{'hecke_orbit_code': 117093796503624136, 'n': 7, 'trace_an': 0}
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id: 261579007
{'hecke_orbit_code': 117093796503624136, 'n': 8, 'trace_an': 0}
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id: 261579008
{'hecke_orbit_code': 117093796503624136, 'n': 9, 'trace_an': -4}
-
id: 261579009
{'hecke_orbit_code': 117093796503624136, 'n': 10, 'trace_an': 0}
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id: 261579010
{'hecke_orbit_code': 117093796503624136, 'n': 11, 'trace_an': 4}
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id: 261579011
{'hecke_orbit_code': 117093796503624136, 'n': 12, 'trace_an': 0}
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id: 261579012
{'hecke_orbit_code': 117093796503624136, 'n': 13, 'trace_an': 0}
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id: 261579013
{'hecke_orbit_code': 117093796503624136, 'n': 14, 'trace_an': 0}
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id: 261579014
{'hecke_orbit_code': 117093796503624136, 'n': 15, 'trace_an': 0}
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id: 261579015
{'hecke_orbit_code': 117093796503624136, 'n': 16, 'trace_an': 0}
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id: 261579016
{'hecke_orbit_code': 117093796503624136, 'n': 17, 'trace_an': 0}
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id: 261579017
{'hecke_orbit_code': 117093796503624136, 'n': 18, 'trace_an': 0}
-
id: 261579018
{'hecke_orbit_code': 117093796503624136, 'n': 19, 'trace_an': -12}
-
id: 261579019
{'hecke_orbit_code': 117093796503624136, 'n': 20, 'trace_an': 0}
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id: 261579020
{'hecke_orbit_code': 117093796503624136, 'n': 21, 'trace_an': 10}
-
id: 261579021
{'hecke_orbit_code': 117093796503624136, 'n': 22, 'trace_an': 0}
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id: 261579022
{'hecke_orbit_code': 117093796503624136, 'n': 23, 'trace_an': 0}
-
id: 261579023
{'hecke_orbit_code': 117093796503624136, 'n': 24, 'trace_an': 0}
-
id: 261579024
{'hecke_orbit_code': 117093796503624136, 'n': 25, 'trace_an': 0}
-
id: 261579025
{'hecke_orbit_code': 117093796503624136, 'n': 26, 'trace_an': 0}
-
id: 261579026
{'hecke_orbit_code': 117093796503624136, 'n': 27, 'trace_an': 0}
-
id: 261579027
{'hecke_orbit_code': 117093796503624136, 'n': 28, 'trace_an': 0}
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id: 261579028
{'hecke_orbit_code': 117093796503624136, 'n': 29, 'trace_an': -14}
-
id: 261579029
{'hecke_orbit_code': 117093796503624136, 'n': 30, 'trace_an': 0}
-
id: 261579030
{'hecke_orbit_code': 117093796503624136, 'n': 31, 'trace_an': 12}
-
id: 261579031
{'hecke_orbit_code': 117093796503624136, 'n': 32, 'trace_an': 0}
-
id: 261579032
{'hecke_orbit_code': 117093796503624136, 'n': 33, 'trace_an': 0}
-
id: 261579033
{'hecke_orbit_code': 117093796503624136, 'n': 34, 'trace_an': 0}
-
id: 261579034
{'hecke_orbit_code': 117093796503624136, 'n': 35, 'trace_an': 0}
-
id: 261579035
{'hecke_orbit_code': 117093796503624136, 'n': 36, 'trace_an': 0}
-
id: 261579036
{'hecke_orbit_code': 117093796503624136, 'n': 37, 'trace_an': 0}
-
id: 261579037
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{'hecke_orbit_code': 117093796503624136, 'n': 999, 'trace_an': -24}
-
id: 261579999
{'hecke_orbit_code': 117093796503624136, 'n': 1000, 'trace_an': 0}