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mf_newforms • Show schema
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{'Nk2': 1836, 'analytic_conductor': 3.66513345277677, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [459, 3, [137, 190], [2, 3]], 'cm_discs': [], 'conrey_index': 154, 'dim': 8, 'field_disc': 152695449, 'field_disc_factorization': [[3, 4], [1373, 2]], 'field_poly': [16, -16, 0, 6, -5, 3, 0, -2, 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': [[2, [9, -9, 24, 9, 25, 1, 6, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832331, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': False, 'label': '459.2.e.b', 'level': 459, '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': [3, 17], 'level_radical': 51, 'minimal_twist': '153.2.e.b', 'nf_label': '8.0.152695449.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{3})q^{2}+(-1-\\beta _{1}-\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '459.2.e', 'trace_display': [-1, 0, 1, 3], 'trace_hash': 1160892156281090669, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.916', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1836, 'analytic_conductor': 3.66513345277677, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [459, 3, [137, 190], [2, 3]], 'conrey_index': 154, 'cusp_dim': 96, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461835, 'hecke_orbit_dims': [4, 8, 20], 'label': '459.2.e', 'level': 459, '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': [3, 17], 'level_radical': 51, 'mf_dim': 120, 'mf_new_dim': 32, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 108, 'trace_bound': 1, 'trace_display': [0, 0, 2, -2], 'traces': [32, 0, 0, -16, 2, 0, -2, 12, 0, 0, 8, 0, -2, 4, 0, -16, -8, 0, 4, -10, 0, 0, 8, 0, -10, 16, 0, 16, -6, 0, -2, -22, 0, 0, 20, 0, -8, -4, 0, 0, 12, 0, -8, -60, 0, -24, 4, 0, -6, -4, 0, 10, 8, 0, 12, 24, 0, 6, -24, 0, -2, -108, 0, -4, -20, 0, -8, 12, 0, 0, -4, 0, 28, 46, 0, -8, -24, 0, -14, 148, 0, -36, -30, 0, 0, -38, 0, -24, 56, 0, 44, -4, 0, 6, 64, 0, 4, -92, 0, 32, -8, 0, -2, 52, 0, 0, 4, 0, 16, -66, 0, -20, 36, 0, 24, 44, 0, 72, 20, 0, -22, -14, 0, 22, -108, 0, -20, -16, 0, 0, -40, 0, -34, 192, 0, 0, 20, 0, -2, -38, 0, -6, -56, 0, -12, 86, 0, -32, 12, 0, 10, 12, 0, 96, 16, 0, -8, 48, 0, 18, 20, 0, -44, 50, 0, 54, -34, 0, -18, -24, 0, 52, 6, 0, -2, 102, 0, -12, 68, 0, -56, -140, 0, 6, -96, 0, -6, 116, 0, -132, -50, 0, -14, -32, 0, 12, -172, 0, -20, 78, 0, 54, -36, 0, 30, -232, 0, -68, 42, 0, 22, -66, 0, 12, -100, 0, 80, -66, 0, 12, 16, 0, -20, -76, 0, -144, 102, 0, -20, -40, 0, -6, 168, 0, 60, -148, 0, 0, -22, 0, -20, 88, 0, -8, 30, 0, -22, 142, 0, 30, 32, 0, 12, 10, 0, 68, 60, 0, -70, -212, 0, -108, -34, 0, -30, 74, 0, -2, 144, 0, -68, 28, 0, -6, 36, 0, 16, -200, 0, -60, -78, 0, 10, -148, 0, 84, 192, 0, 32, -70, 0, 4, -36, 0, 42, 68, 0, 84, 76, 0, 50, 120, 0, 28, 36, 0, -20, 168, 0, 54, 20, 0, -20, 200, 0, 4, 10, 0, 0, -110, 0, 96, -32, 0, -92, 40, 0, 72, 96, 0, 10, 288, 0, -144, -64, 0, -20, -150, 0, 30, -36, 0, 164, -84, 0, 48, 8, 0, 46, -172, 0, 72, 66, 0, -66, -82, 0, -12, -12, 0, -12, 118, 0, -76, 38, 0, -26, -260, 0, -156, -84, 0, 52, 28, 0, 90, -152, 0, 100, 218, 0, 78, -82, 0, 42, 344, 0, -44, -136, 0, 0, -24, 0, 102, 36, 0, -116, -132, 0, 8, 86, 0, 8, -276, 0, -12, -58, 0, -74, 254, 0, 28, -84, 0, 72, -72, 0, 114, 90, 0, -32, 76, 0, -156, 28, 0, 20, 20, 0, -120, -372, 0, 64, -104, 0, -8, -92, 0, -56, 404, 0, -24, -10, 0, 78, -114, 0, -86, -16, 0, 0, 60, 0, 24, 68, 0, -14, 192, 0, -120, 80, 0, -38, 78, 0, 0, -24, 0, 20, 218, 0, -174, -210, 0, -38, -80, 0, 36, 64, 0, -40, 162, 0, -4, 348, 0, 136, -170, 0, -12, -50, 0, 0, 260, 0, -56, -86, 0, -32, -104, 0, -42, -184, 0, 12, 114, 0, -8, -70, 0, -76, -428, 0, -60, -50, 0, 102, -122, 0, 0, -36, 0, 16, -138, 0, -36, 36, 0, 8, -144, 0, 92, 118, 0, -60, -204, 0, -96, 52, 0, -104, -44, 0, 0, 38, 0, -80, -72, 0, 288, 72, 0, 20, 2, 0, 16, -100, 0, 56, -164, 0, -36, -14, 0, 72, -316, 0, 96, 48, 0, -110, 220, 0, 66, 268, 0, 220, 0, 0, 18, 112, 0, 12, -644, 0, 12, -206, 0, -16, -196, 0, -128, 240, 0, 0, -88, 0, -168, 24, 0, -20, 328, 0, 100, 88, 0, -62, 166, 0, 30, 156, 0, 28, 270, 0, 18, -36, 0, -20, 320, 0, -36, 134, 0, 140, 24, 0, -92, -72, 0, 184, 162, 0, -72, 246, 0, -6, 228, 0, 96, -62, 0, 10, -98, 0, -36, 52, 0, -156, 14, 0, -2, 98, 0, 0, 12, 0, 96, 10, 0, 34, -102, 0, 84, -164, 0, 24, 50, 0, -72, -90, 0, 94, -232, 0, 336, -90, 0, -22, 26, 0, -30, 4, 0, -240, 212, 0, -110, -200, 0, 58, 352, 0, 192, -68, 0, 0, -108, 0, -110, 240, 0, -136, -174, 0, -6, 28, 0, 40, -364, 0, -168, -158, 0, 108, 316, 0, -102, 44, 0, -136, -134, 0, 76, 0, 0, -14, 564, 0, -264, 44, 0, 16, 124, 0, 24, -472, 0, -80, -314, 0, 42, -12, 0, 132, 80, 0, 48, 4, 0, -2, -132, 0, 162, -56, 0, -80, 22, 0, 90, 64, 0, -64, 352, 0, -240, 34, 0, 106, 96, 0, -110, -220, 0, 244, 130, 0, -48, -162, 0, 120, -12, 0, -72, 86, 0, 40, 412, 0, 42, 488, 0, -124, -80, 0, 10, -72, 0, 12, 28, 0, 384, 108, 0, 12, -276, 0, 30, -152, 0, 172, 186, 0, -96, -104, 0, -4, -588, 0, 276, -68, 0, -152, -48, 0, 24, -348, 0, -296, -138, 0, 10, 16, 0, 48, -540, 0, 300, 292, 0, 134, -248, 0, 52, 124, 0, -32, -108, 0, 0, 60, 0, 130, -208, 0, -300, 104, 0, -8, -50, 0, -138, -88, 0, -72, -158, 0, -226, 18, 0, 26, 16, 0, 24, 60, 0, 118, 118, 0, -180, 332, 0, -212, 20, 0, -36, 62, 0, -148, -436, 0, 376, -180, 0, -36, -174, 0, -24, 28, 0, -72, -156, 0, 252, -46, 0, -134, 372, 0, -180, 74, 0, -30, 140, 0, -50, 200, 0, -152, 300, 0, -102, -54, 0, 52, 404, 0, 132, -16, 0, -186, -82, 0, -228, -80, 0, -104, 58, 0, -78, 210, 0, 24, 480, 0, 168, -80, 0, 32, -14, 0, 0, -140, 0, -72, 44, 0, -60, 36, 0, -78, 356, 0, -152, 80, 0, -38, -188, 0, -72, 20, 0, 92, 162, 0, 184, 102, 0, -36, -472, 0, -120, -210, 0, -12, 10, 0, -88, -460, 0, 184, 246, 0, 84, -334, 0, -80, 352, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35030284
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 307, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832331, 'target_is_minimal': False, 'target_label': '459.2.e.b.307.3', 'target_level': 459, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35030285
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 103, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832025, 'target_is_minimal': True, 'target_label': '153.2.e.b.103.2', 'target_level': 153, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35030286
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 52, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538832025, 'target_is_minimal': True, 'target_label': '153.2.e.b.52.2', 'target_level': 153, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35030287
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170408289, 'target_is_minimal': False, 'target_label': '1377.2.a.f.1.2', 'target_level': 1377, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35030288
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543037793, 'target_is_minimal': False, 'target_label': '1377.2.a.e.1.3', 'target_level': 1377, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35030289
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 307, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832331, 'source_is_minimal': False, 'source_label': '459.2.e.b.307.3', 'source_level': 459, 'target_conrey_index': 154, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832331, 'target_is_minimal': False, 'target_label': '459.2.e.b.154.3', 'target_level': 459, 'twist_class_label': '153.2.e.b.52.2', 'twist_class_level': 153, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 921700
{'charpoly_factorization': [[[9, -9, 24, 9, 25, 1, 6, 1, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 2}
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id: 921701
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503874538832331, 'p': 3}
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id: 921702
{'charpoly_factorization': [[[9, 9, 24, -9, 25, -1, 6, -1, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 5}
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id: 921703
{'charpoly_factorization': [[[49, 63, 116, -3, 45, -3, 14, -3, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 7}
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id: 921704
{'charpoly_factorization': [[[81, -243, 648, -297, 171, -27, 18, -3, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 11}
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id: 921705
{'charpoly_factorization': [[[529, -552, 944, -30, 495, -192, 65, -9, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 13}
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id: 921706
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 4503874538832331, 'p': 17}
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id: 921707
{'charpoly_factorization': [[[451, -218, -42, 7, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 19}
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id: 921708
{'charpoly_factorization': [[[25281, -16218, 11517, -2466, 1228, -274, 93, -10, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 23}
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id: 921709
{'charpoly_factorization': [[[729, 2430, 6318, 5130, 2979, 810, 159, 15, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 29}
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id: 921710
{'charpoly_factorization': [[[9409, -14550, 15128, -8490, 3429, -840, 149, -15, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 31}
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id: 921711
{'charpoly_factorization': [[[-1223, -576, -35, 12, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 37}
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id: 921712
{'charpoly_factorization': [[[23409, -2754, 7209, -1026, 1980, -234, 81, 6, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 41}
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id: 921713
{'charpoly_factorization': [[[2611456, -1512576, 882560, -54432, 18480, -1944, 320, -18, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 43}
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id: 921714
{'charpoly_factorization': [[[29241, -4617, 6885, -3132, 1791, -486, 108, -12, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 47}
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id: 921715
{'charpoly_factorization': [[[-81, -54, 15, 12, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 53}
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id: 921716
{'charpoly_factorization': [[[263169, -147744, 141426, 32832, 12483, 576, 114, 0, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 59}
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id: 921717
{'charpoly_factorization': [[[33674809, -2860879, 1165726, 20357, 21943, 191, 184, 5, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 61}
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id: 921718
{'charpoly_factorization': [[[790321, 58674, 72809, 5586, 5436, 330, 113, -6, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 67}
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id: 921719
{'charpoly_factorization': [[[-1107, -81, 163, -25, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 71}
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id: 921720
{'charpoly_factorization': [[[-27, 252, -95, -4, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 73}
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id: 921721
{'charpoly_factorization': [[[720801, -654579, 490863, -107646, 21901, -566, 186, -8, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 79}
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id: 921722
{'charpoly_factorization': [[[53361, 31878, 17196, 4338, 1261, 220, 57, 7, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 83}
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id: 921723
{'charpoly_factorization': [[[-4131, 2241, -134, -14, 1], 2]], 'hecke_orbit_code': 4503874538832331, 'p': 89}
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id: 921724
{'charpoly_factorization': [[[20241001, -7054432, 2107702, -266272, 35671, -1888, 334, -16, 1], 1]], 'hecke_orbit_code': 4503874538832331, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '459.2.e.b', 'level': 459, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 22009957
{'hecke_orbit_code': 4503874538832331, 'n': 1, 'trace_an': 8}
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id: 22009958
{'hecke_orbit_code': 4503874538832331, 'n': 2, 'trace_an': -1}
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id: 22009959
{'hecke_orbit_code': 4503874538832331, 'n': 3, 'trace_an': 0}
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id: 22009960
{'hecke_orbit_code': 4503874538832331, 'n': 4, 'trace_an': -3}
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id: 22009961
{'hecke_orbit_code': 4503874538832331, 'n': 5, 'trace_an': 1}
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id: 22009962
{'hecke_orbit_code': 4503874538832331, 'n': 6, 'trace_an': 0}
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id: 22009963
{'hecke_orbit_code': 4503874538832331, 'n': 7, 'trace_an': 3}
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id: 22009964
{'hecke_orbit_code': 4503874538832331, 'n': 8, 'trace_an': 6}
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id: 22009965
{'hecke_orbit_code': 4503874538832331, 'n': 9, 'trace_an': 0}
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id: 22009966
{'hecke_orbit_code': 4503874538832331, 'n': 10, 'trace_an': -22}
-
id: 22009967
{'hecke_orbit_code': 4503874538832331, 'n': 11, 'trace_an': 3}
-
id: 22009968
{'hecke_orbit_code': 4503874538832331, 'n': 12, 'trace_an': 0}
-
id: 22009969
{'hecke_orbit_code': 4503874538832331, 'n': 13, 'trace_an': 9}
-
id: 22009970
{'hecke_orbit_code': 4503874538832331, 'n': 14, 'trace_an': 5}
-
id: 22009971
{'hecke_orbit_code': 4503874538832331, 'n': 15, 'trace_an': 0}
-
id: 22009972
{'hecke_orbit_code': 4503874538832331, 'n': 16, 'trace_an': 3}
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id: 22009973
{'hecke_orbit_code': 4503874538832331, 'n': 17, 'trace_an': 8}
-
id: 22009974
{'hecke_orbit_code': 4503874538832331, 'n': 18, 'trace_an': 0}
-
id: 22009975
{'hecke_orbit_code': 4503874538832331, 'n': 19, 'trace_an': -14}
-
id: 22009976
{'hecke_orbit_code': 4503874538832331, 'n': 20, 'trace_an': 5}
-
id: 22009977
{'hecke_orbit_code': 4503874538832331, 'n': 21, 'trace_an': 0}
-
id: 22009978
{'hecke_orbit_code': 4503874538832331, 'n': 22, 'trace_an': 3}
-
id: 22009979
{'hecke_orbit_code': 4503874538832331, 'n': 23, 'trace_an': 10}
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id: 22009980
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