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mf_newforms • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [3330, 2, [371, 667, 631], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1999, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [121, 0, 26, 0, 1]], [11, [-3, 0, 1]], [17, [9, 0, 42, 0, 1]], [29, [3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539802093063426, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3330.2.d.l', 'level': 3330, '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, 37], 'level_radical': 1110, 'minimal_twist': '3330.2.d.i', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta_1 q^{2}-q^{4}+(2\\beta_1+1)q^{5}+(-2\\beta_{2}+\\beta_1)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3330.2.d', 'trace_display': [0, 0, 4, 0], 'trace_hash': 1927014623165331192, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.174', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.225', 'prec': 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mf_hecke_cc • Show schema
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'dual_conrey_index': 1999, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': -0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 12, 'hecke_orbit_code': 49539802093063426, 'label': '3330.2.d.l.1999.3', 'level': 3330, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 13320, 'analytic_conductor': 26.590183873086367, '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': [3330, 2, [371, 667, 631], [2, 1, 2]], 'conrey_index': 1999, 'cusp_dim': 668, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 29], 'hecke_orbit_code': 206191987970, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 8, 10, 14, 14], 'label': '3330.2.d', 'level': 3330, '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, 37], 'level_radical': 1110, 'mf_dim': 700, 'mf_new_dim': 90, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 1368, 'trace_bound': 14, 'trace_display': [0, 0, -4, 0], 'traces': [90, 0, 0, -90, -4, 0, 0, 0, 0, 4, 16, 0, 0, 4, 0, 90, 0, 0, 12, 4, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -16, 0, -12, 0, 0, -78, -8, 0, 0, 0, 0, 20, -4, 0, 0, -4, 0, 0, 0, 0, -90, -24, 0, 0, 0, 0, 0, -8, 0, 0, 10, 0, -12, 0, 0, 32, -4, 0, 0, 0, 0, -12, 52, 0, 0, 60, 0, -112, 0, 0, 28, -4, 0, 0, 0, 0, 8, -52, 0, 0, 0, 0, 20, 0, 0, 24, -18, 0, 0, 0, 0, 4, 16, 0, 0, 64, 0, 82, 0, 0, 8, -4, 0, 0, 0, 0, -16, -20, 0, 0, -32, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 4, -40, 0, 0, 36, 0, -8, 0, 0, -40, -2, 0, 0, 0, 0, 4, 32, 0, 0, -4, 0, 24, 0, 0, 14, -36, 0, 0, 0, 0, 36, 16, 0, 0, -76, 0, 36, 0, 0, 12, 0, 0, 0, 0, 0, -12, 56, 0, 0, -56, 0, 78, 0, 0, 8, 8, 0, 0, 0, 0, -72, 68, 0, 0, 80, 0, 8, 0, 0, -40, -68, 0, 0, 0, 0, -20, 152, 0, 0, 4, 0, 56, 0, 0, 108, -8, 0, 0, 0, 0, 8, 4, 0, 0, -200, 0, -92, 0, 0, 0, -108, 0, 0, 0, 0, -16, -76, 0, 0, 20, 0, 90, 0, 0, -8, 24, 0, 0, 0, 0, -4, 128, 0, 0, -20, 0, -16, 0, 0, -16, 52, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 96, 0, 0, -162, 16, 0, 0, 0, 0, -4, -10, 0, 0, -124, 0, 80, 0, 0, 12, 110, 0, 0, 0, 0, -68, -32, 0, 0, 84, 0, -32, 0, 0, -24, 4, 0, 0, 0, 0, -176, 12, 0, 0, 96, 0, 108, 0, 0, 76, -140, 0, 0, 0, 0, 12, -192, 0, 0, -52, 0, -20, 0, 0, 44, -12, 0, 0, 0, 0, 40, -60, 0, 0, 40, 0, 194, 0, 0, 112, 104, 0, 0, 0, 0, 0, 188, 0, 0, -60, 0, -28, 0, 0, 20, 4, 0, 0, 0, 0, -136, -44, 0, 0, -256, 0, 88, 0, 0, 4, 72, 0, 0, 0, 0, -8, 92, 0, 0, 52, 0, -44, 0, 0, -220, 76, 0, 0, 0, 0, -24, 0, 0, 0, -36, 0, -24, 0, 0, -20, 88, 0, 0, 0, 0, -72, 48, 0, 0, -52, 0, -24, 0, 0, -104, 18, 0, 0, 0, 0, 172, -20, 0, 0, -44, 0, -92, 0, 0, 132, -32, 0, 0, 0, 0, -4, 192, 0, 0, -16, 0, -64, 0, 0, 104, 32, 0, 0, 0, 0, 56, -64, 0, 0, 80, 0, 24, 0, 0, -82, 16, 0, 0, 0, 0, -108, 124, 0, 0, -32, 0, -8, 0, 0, 140, 4, 0, 0, 0, 0, -36, 24, 0, 0, -44, 0, 120, 0, 0, 156, 118, 0, 0, 0, 0, 16, 24, 0, 0, 20, 0, -44, 0, 0, 10, -144, 0, 0, 0, 0, -112, 32, 0, 0, -44, 0, -16, 0, 0, 0, -60, 0, 0, 0, 0, -88, -80, 0, 0, 24, 0, 56, 0, 0, -320, 0, 0, 0, 0, 0, 8, -48, 0, 0, -116, 0, 80, 0, 0, -48, 28, 0, 0, 0, 0, -4, -56, 0, 0, 40, 0, 60, 0, 0, -96, -32, 0, 0, 0, 0, -172, -36, 0, 0, -184, 0, 156, 0, 0, 8, 76, 0, 0, 0, 0, 8, 192, 0, 0, 168, 0, 40, 0, 0, -152, 2, 0, 0, 0, 0, -144, -44, 0, 0, 36, 0, 16, 0, 0, -100, -136, 0, 0, 0, 0, -4, 276, 0, 0, -32, 0, 8, 0, 0, 88, -198, 0, 0, 0, 0, -132, 4, 0, 0, 220, 0, 216, 0, 0, -24, -280, 0, 0, 0, 0, -54, -96, 0, 0, -80, 0, -14, 0, 0, 80, 36, 0, 0, 0, 0, -104, -32, 0, 0, 120, 0, 348, 0, 0, 96, 8, 0, 0, 0, 0, -36, -168, 0, 0, -16, 0, -80, 0, 0, -16, -132, 0, 0, 0, 0, 146, 76, 0, 0, 200, 0, 464, 0, 0, -36, -296, 0, 0, 0, 0, 74, 68, 0, 0, -164, 0, -12, 0, 0, 88, 0, 0, 0, 0, 0, -112, 44, 0, 0, -344, 0, 0, 0, 0, 8, -60, 0, 0, 0, 0, 12, 204, 0, 0, -56, 0, 48, 0, 0, -316, 32, 0, 0, 0, 0, -128, 56, 0, 0, 256, 0, -80, 0, 0, -78, -20, 0, 0, 0, 0, 24, 64, 0, 0, 172, 0, -8, 0, 0, -8, -8, 0, 0, 0, 0, -168, 8, 0, 0, 12, 0, 188, 0, 0, -12, -320, 0, 0, 0, 0, 72, 436, 0, 0, -68, 0, 0, 0, 0, 136, -36, 0, 0, 0, 0, 166, -80, 0, 0, -120, 0, 38, 0, 0, -8, 260, 0, 0, 0, 0, -12, -36, 0, 0, -84, 0, 40, 0, 0, -388, 68, 0, 0, 0, 0, -224, 48, 0, 0, 160, 0, 272, 0, 0, -40, 36, 0, 0, 0, 0, 20, -44, 0, 0, -152, 0, 304, 0, 0, -128, -32, 0, 0, 0, 0, -100, -4, 0, 0, -52, 0, 120, 0, 0, -56, -164, 0, 0, 0, 0, -28, -208, 0, 0, 192, 0, -108, 0, 0, 32, 8, 0, 0, 0, 0, 8, 172, 0, 0, -124, 0, -124, 0, 0, 156, -108, 0, 0, 0, 0, -8, -4, 0, 0, -4, 0, 68, 0, 0, 160, -40, 0, 0, 0, 0, 230, 200, 0, 0, 448, 0, -38, 0, 0, 92, 220, 0, 0, 0, 0, -184, -24, 0, 0, -88, 0, 0, 0, 0, 144, 108, 0, 0, 0, 0, -204, -48, 0, 0, 344, 0, 96, 0, 0, -128, 188, 0, 0, 0, 0, 16], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47390700
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539802093063426, 'source_is_minimal': True, 'source_label': '3330.2.d.l.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49539802093063426, 'target_is_minimal': True, 'target_label': '3330.2.d.l.1999.3', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47390701
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539802093063426, 'source_is_minimal': True, 'source_label': '3330.2.d.l.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029003210951938, 'target_is_minimal': True, 'target_label': '3330.2.d.i.1999.1', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47390702
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539802093063426, 'source_is_minimal': True, 'source_label': '3330.2.d.l.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539802093063426, 'target_is_minimal': True, 'target_label': '3330.2.d.l.1999.2', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47390703
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1999, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 49539802093063426, 'source_is_minimal': True, 'source_label': '3330.2.d.l.1999.3', 'source_level': 3330, 'target_conrey_index': 1999, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029003210951938, 'target_is_minimal': True, 'target_label': '3330.2.d.i.1999.4', 'target_level': 3330, 'twist_class_label': '3330.2.d.i.1999.1', 'twist_class_level': 3330, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3126150
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 2}
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id: 3126151
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539802093063426, 'p': 3}
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id: 3126152
{'charpoly_factorization': [[[5, -2, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 5}
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id: 3126153
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 7}
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id: 3126154
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 11}
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id: 3126155
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 13}
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id: 3126156
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 17}
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id: 3126157
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 19}
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id: 3126158
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 23}
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id: 3126159
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 49539802093063426, 'p': 29}
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id: 3126160
{'charpoly_factorization': [[[13, 8, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 31}
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id: 3126161
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 37}
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id: 3126162
{'charpoly_factorization': [[[-11, 8, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 41}
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id: 3126163
{'charpoly_factorization': [[[529, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 43}
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id: 3126164
{'charpoly_factorization': [[[2704, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 47}
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id: 3126165
{'charpoly_factorization': [[[1, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 53}
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id: 3126166
{'charpoly_factorization': [[[24, 12, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 59}
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id: 3126167
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 61}
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id: 3126168
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 67}
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id: 3126169
{'charpoly_factorization': [[[-12, -12, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 71}
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id: 3126170
{'charpoly_factorization': [[[8464, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 73}
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id: 3126171
{'charpoly_factorization': [[[52, -16, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 79}
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id: 3126172
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 83}
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id: 3126173
{'charpoly_factorization': [[[24, 12, 1], 2]], 'hecke_orbit_code': 49539802093063426, 'p': 89}
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id: 3126174
{'charpoly_factorization': [[[57121, 0, 494, 0, 1], 1]], 'hecke_orbit_code': 49539802093063426, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 12, 'label': '3330.2.d.l', 'level': 3330, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 56864467
{'hecke_orbit_code': 49539802093063426, 'n': 1, 'trace_an': 4}
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id: 56864468
{'hecke_orbit_code': 49539802093063426, 'n': 2, 'trace_an': 0}
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id: 56864469
{'hecke_orbit_code': 49539802093063426, 'n': 3, 'trace_an': 0}
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id: 56864470
{'hecke_orbit_code': 49539802093063426, 'n': 4, 'trace_an': -4}
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id: 56864471
{'hecke_orbit_code': 49539802093063426, 'n': 5, 'trace_an': 4}
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id: 56864472
{'hecke_orbit_code': 49539802093063426, 'n': 6, 'trace_an': 0}
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id: 56864473
{'hecke_orbit_code': 49539802093063426, 'n': 7, 'trace_an': 0}
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id: 56864474
{'hecke_orbit_code': 49539802093063426, 'n': 8, 'trace_an': 0}
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id: 56864475
{'hecke_orbit_code': 49539802093063426, 'n': 9, 'trace_an': 0}
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id: 56864476
{'hecke_orbit_code': 49539802093063426, 'n': 10, 'trace_an': 8}
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id: 56864477
{'hecke_orbit_code': 49539802093063426, 'n': 11, 'trace_an': 0}
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id: 56864478
{'hecke_orbit_code': 49539802093063426, 'n': 12, 'trace_an': 0}
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id: 56864479
{'hecke_orbit_code': 49539802093063426, 'n': 13, 'trace_an': 0}
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id: 56864480
{'hecke_orbit_code': 49539802093063426, 'n': 14, 'trace_an': 4}
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id: 56864481
{'hecke_orbit_code': 49539802093063426, 'n': 15, 'trace_an': 0}
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id: 56864482
{'hecke_orbit_code': 49539802093063426, 'n': 16, 'trace_an': 4}
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id: 56864483
{'hecke_orbit_code': 49539802093063426, 'n': 17, 'trace_an': 0}
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id: 56864484
{'hecke_orbit_code': 49539802093063426, 'n': 18, 'trace_an': 0}
-
id: 56864485
{'hecke_orbit_code': 49539802093063426, 'n': 19, 'trace_an': 0}
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id: 56864486
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