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mf_newforms • Show schema
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{'Nk2': 3444, 'analytic_conductor': 6.875119614032241, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, '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': [861, 3, [575, 493, 211], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 247, 'dim': 16, 'field_disc': 364888196759749131580329, 'field_disc_factorization': [[3, 8], [37, 2], [14197, 4]], 'field_poly': [1, 8, 56, 118, 284, -129, 565, -311, 636, -432, 440, -189, 109, -28, 15, -3, 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, [12769, -4972, 18660, -2302, 15710, -855, 8233, 203, 3056, 130, 766, 53, 137, 8, 15, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480669, 'hecke_ring_generator_nbound': 3, '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, 7, 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': True, 'label': '861.2.i.d', 'level': 861, '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': True, 'level_primes': [3, 7, 41], 'level_radical': 861, 'minimal_twist': '861.2.i.d', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{3}-\\beta _{5}+\\beta _{10})q^{2}+\\beta _{10}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '861.2.i', 'trace_display': [-1, 8, 7, 9], 'trace_hash': 1919785537950764006, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.661', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '767.880', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '93708.992', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [16, -1, 8, -13, 7, -2, 9, 12, -8, 8, -11, 13, -20, 1, 14, 17, 3, -1, 6, -22, -9, 30, -14, 6, -25, 24, -16, 20, 4, -8, 16, -3, 11, 8, 1, 26, 20, 10, -10, -3, -16, -4, 14, 0, 7, 5, 14, 34, 13, -10, -3, 23, -7, 1, -96, 51, 12, 20, 22, -11, 0, 66, -18, -20, 14, 15, -12, -27, -28, 61, -10, -6, 2, -6, 25, -86, -3, 48, 15, -7, -8, 1, -30, 34, -86, -31, 2, -17, 29, -16, -18, 38, -16, 20, -14, 3, -38, 56, 22, -15, 41, 4, 9, -74, -28, -36, 3, 13, 7, 60, 40, 6, -10, -10, 4, 19, 10, -46, 34, -6, 9, 50, -8, 7, -36, -5, -90, -14, 7, -74, -28, 0, 3, -70, -7, -15, -16, -5, 4, 8, 28, 32, 23, 17, -61, 82, 26, -186, 9, -5, 20, 67, -6, 12, 78, -23, 25, -27, 7, -32, 22, 2, -43, 13, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 3444, 'analytic_conductor': 6.875119614032241, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [861, 3, [575, 493, 211], [3, 1, 3]], 'conrey_index': 247, 'cusp_dim': 216, 'dim': 108, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789369181, 'hecke_orbit_dims': [2, 6, 6, 16, 24, 26, 28], 'label': '861.2.i', 'level': 861, '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': True, 'level_primes': [3, 7, 41], 'level_radical': 861, 'mf_dim': 232, 'mf_new_dim': 108, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 224, 'trace_bound': 2, 'trace_display': [4, 2, -4, 10], 'traces': [108, 4, 2, -52, -4, -8, 10, -24, -54, -4, 4, 4, -4, -24, 8, -64, 0, 4, 10, 64, -8, 8, -8, 12, -74, 32, -4, -60, -16, -16, 2, 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mf_twists_cc • Show schema
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id: 43369524
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 247, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511348671480669, 'source_is_minimal': True, 'source_label': '861.2.i.d.247.4', 'source_level': 861, 'target_conrey_index': 247, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480669, 'target_is_minimal': True, 'target_label': '861.2.i.d.247.4', 'target_level': 861, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43369525
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 247, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511348671480669, 'source_is_minimal': True, 'source_label': '861.2.i.d.247.4', 'source_level': 861, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 121597189972563851, 'target_is_minimal': False, 'target_label': '6027.2.a.bb.1.5', 'target_level': 6027, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43369526
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 247, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511348671480669, 'source_is_minimal': True, 'source_label': '861.2.i.d.247.4', 'source_level': 861, 'target_conrey_index': 739, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480669, 'target_is_minimal': True, 'target_label': '861.2.i.d.739.4', 'target_level': 861, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43369527
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 247, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13511348671480669, 'source_is_minimal': True, 'source_label': '861.2.i.d.247.4', 'source_level': 861, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789599934347, 'target_is_minimal': False, 'target_label': '6027.2.a.bc.1.5', 'target_level': 6027, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1421850
{'charpoly_factorization': [[[12769, -4972, 18660, -2302, 15710, -855, 8233, 203, 3056, 130, 766, 53, 137, 8, 15, 1, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 2}
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id: 1421851
{'charpoly_factorization': [[[1, -1, 1], 8]], 'hecke_orbit_code': 13511348671480669, 'p': 3}
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id: 1421852
{'charpoly_factorization': [[[935089, -199202, 1157387, -901608, 1287320, -745836, 528204, -220484, 118917, -41118, 16712, -4083, 1220, -226, 57, -7, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 5}
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id: 1421853
{'charpoly_factorization': [[[5764801, -7411887, 4000066, -1058841, 139258, -55566, 34741, -6678, 85, -954, 709, -162, 58, -63, 34, -9, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 7}
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id: 1421854
{'charpoly_factorization': [[[69169, 389503, 1789393, 2245360, 2393921, 1377155, 885899, 392962, 206872, 71900, 27468, 7265, 2263, 481, 100, 11, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 11}
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id: 1421855
{'charpoly_factorization': [[[49, -44, -10, 5, 1], 4]], 'hecke_orbit_code': 13511348671480669, 'p': 13}
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id: 1421856
{'charpoly_factorization': [[[187489, -169303, 565530, -841509, 1643447, -1720694, 1553248, -828981, 381871, -90404, 30100, -3994, 2196, -72, 57, -3, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 17}
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id: 1421857
{'charpoly_factorization': [[[18412681, -20536726, 101104980, 128216278, 300454904, 108433667, 61406933, 5495446, 4660394, 130918, 276421, -14942, 7629, -308, 121, -6, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 19}
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id: 1421858
{'charpoly_factorization': [[[187498249, -141996410, 422462207, 396544236, 447487484, 173609331, 75670098, 18060181, 6133272, 1224114, 324356, 47607, 9911, 1244, 192, 14, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 23}
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id: 1421859
{'charpoly_factorization': [[[78769, -4153, -50907, -2033, 5265, 253, -146, -2, 1], 2]], 'hecke_orbit_code': 13511348671480669, 'p': 29}
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id: 1421860
{'charpoly_factorization': [[[3736489, -10260364, 33987395, -1980950, 32369769, -7790030, 20725941, 118466, 2662170, -229276, 217455, -16859, 9368, -1334, 238, -16, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 31}
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id: 1421861
{'charpoly_factorization': [[[528126361, 621061525, 1279550563, -46728780, 691897666, -268624713, 451272706, -205852848, 81632913, -16904384, 3012422, -344848, 41974, -3686, 371, -20, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 37}
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id: 1421862
{'charpoly_factorization': [[[1, 1], 16]], 'hecke_orbit_code': 13511348671480669, 'p': 41}
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id: 1421863
{'charpoly_factorization': [[[316351, -18757, -108180, 1081, 9470, 568, -168, -7, 1], 2]], 'hecke_orbit_code': 13511348671480669, 'p': 43}
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id: 1421864
{'charpoly_factorization': [[[2531281, -13766923, 66932137, -78029130, 119521948, 54678548, 112476095, 8755209, 8560138, -685053, 503418, -39279, 12553, -1188, 228, -14, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 47}
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id: 1421865
{'charpoly_factorization': [[[22677046921, -27965582012, 24105705015, -12632729658, 5272429044, -1523495887, 383541422, -67369668, 13607765, -1723919, 389028, -22343, 7468, 75, 144, 7, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 53}
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id: 1421866
{'charpoly_factorization': [[[212496106729, -195262170151, 347918031691, 89218535520, 157377707774, -15739307995, 8818951176, -1281377500, 400776797, -53406856, 8479212, -743926, 82430, -5736, 505, -22, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 59}
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id: 1421867
{'charpoly_factorization': [[[5997418249, 2352795783, 7223922527, -1555088688, 5943003160, -207466821, 902446924, -108793008, 100387431, -5386992, 2683670, 49488, 52948, 438, 253, 0, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 61}
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id: 1421868
{'charpoly_factorization': [[[28522852181041, 11632671787554, 5245492980779, 1079648442704, 300564712191, 46973754254, 10964720531, 1341573566, 253138588, 24130994, 4080735, 311527, 43496, 2382, 298, 12, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 67}
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id: 1421869
{'charpoly_factorization': [[[13689, -2457, -10116, 1356, 2008, -237, -98, 5, 1], 2]], 'hecke_orbit_code': 13511348671480669, 'p': 71}
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id: 1421870
{'charpoly_factorization': [[[20810082049, 21795645873, 66879213240, -83665187671, 75737185904, -35417873673, 12652357776, -2662377063, 463704789, -48877174, 5759382, -395307, 53736, -2012, 261, -2, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 73}
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id: 1421871
{'charpoly_factorization': [[[469705993201, -183712447656, 125653387285, -30133031226, 15331779488, -3285302563, 1183887588, -192897722, 54273625, -7565681, 1690154, -169835, 27558, -1973, 290, -15, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 79}
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id: 1421872
{'charpoly_factorization': [[[-63343, -41480, 19075, 13091, -1209, -1124, -43, 15, 1], 2]], 'hecke_orbit_code': 13511348671480669, 'p': 83}
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id: 1421873
{'charpoly_factorization': [[[1012078252441, -1906655264124, 2617253295413, -1769681486380, 918558080420, -186967499883, 52306463807, -9088668231, 2043265417, -254721930, 31157482, -2309141, 198969, -11687, 808, -29, 1], 1]], 'hecke_orbit_code': 13511348671480669, 'p': 89}
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id: 1421874
{'charpoly_factorization': [[[-250733, -575974, 81645, 57899, -2851, -1913, -30, 19, 1], 2]], 'hecke_orbit_code': 13511348671480669, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '861.2.i.d', 'level': 861, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36979117
{'hecke_orbit_code': 13511348671480669, 'n': 1, 'trace_an': 16}
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id: 36979118
{'hecke_orbit_code': 13511348671480669, 'n': 2, 'trace_an': -1}
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id: 36979119
{'hecke_orbit_code': 13511348671480669, 'n': 3, 'trace_an': 8}
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id: 36979120
{'hecke_orbit_code': 13511348671480669, 'n': 4, 'trace_an': -13}
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id: 36979121
{'hecke_orbit_code': 13511348671480669, 'n': 5, 'trace_an': 7}
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id: 36979122
{'hecke_orbit_code': 13511348671480669, 'n': 6, 'trace_an': -2}
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id: 36979123
{'hecke_orbit_code': 13511348671480669, 'n': 7, 'trace_an': 9}
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id: 36979124
{'hecke_orbit_code': 13511348671480669, 'n': 8, 'trace_an': 12}
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id: 36979125
{'hecke_orbit_code': 13511348671480669, 'n': 9, 'trace_an': -8}
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id: 36979126
{'hecke_orbit_code': 13511348671480669, 'n': 10, 'trace_an': 8}
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id: 36979127
{'hecke_orbit_code': 13511348671480669, 'n': 11, 'trace_an': -11}
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id: 36979128
{'hecke_orbit_code': 13511348671480669, 'n': 12, 'trace_an': 13}
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id: 36979129
{'hecke_orbit_code': 13511348671480669, 'n': 13, 'trace_an': -20}
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id: 36979130
{'hecke_orbit_code': 13511348671480669, 'n': 14, 'trace_an': 1}
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id: 36979131
{'hecke_orbit_code': 13511348671480669, 'n': 15, 'trace_an': 14}
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id: 36979132
{'hecke_orbit_code': 13511348671480669, 'n': 16, 'trace_an': 17}
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id: 36979133
{'hecke_orbit_code': 13511348671480669, 'n': 17, 'trace_an': 3}
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id: 36979134
{'hecke_orbit_code': 13511348671480669, 'n': 18, 'trace_an': -1}
-
id: 36979135
{'hecke_orbit_code': 13511348671480669, 'n': 19, 'trace_an': 6}
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id: 36979136
{'hecke_orbit_code': 13511348671480669, 'n': 20, 'trace_an': -22}
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id: 36979137
{'hecke_orbit_code': 13511348671480669, 'n': 21, 'trace_an': -9}
-
id: 36979138
{'hecke_orbit_code': 13511348671480669, 'n': 22, 'trace_an': 30}
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id: 36979139
{'hecke_orbit_code': 13511348671480669, 'n': 23, 'trace_an': -14}
-
id: 36979140
{'hecke_orbit_code': 13511348671480669, 'n': 24, 'trace_an': 6}
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id: 36979141
{'hecke_orbit_code': 13511348671480669, 'n': 25, 'trace_an': -25}
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id: 36979142
{'hecke_orbit_code': 13511348671480669, 'n': 26, 'trace_an': 24}
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id: 36979143
{'hecke_orbit_code': 13511348671480669, 'n': 27, 'trace_an': -16}
-
id: 36979144
{'hecke_orbit_code': 13511348671480669, 'n': 28, 'trace_an': 20}
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id: 36979145
{'hecke_orbit_code': 13511348671480669, 'n': 29, 'trace_an': 4}
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id: 36979146
{'hecke_orbit_code': 13511348671480669, 'n': 30, 'trace_an': -8}
-
id: 36979147
{'hecke_orbit_code': 13511348671480669, 'n': 31, 'trace_an': 16}
-
id: 36979148
{'hecke_orbit_code': 13511348671480669, 'n': 32, 'trace_an': -3}
-
id: 36979149
{'hecke_orbit_code': 13511348671480669, 'n': 33, 'trace_an': 11}
-
id: 36979150
{'hecke_orbit_code': 13511348671480669, 'n': 34, 'trace_an': 8}
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id: 36979151
{'hecke_orbit_code': 13511348671480669, 'n': 35, 'trace_an': 1}
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id: 36979152
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id: 36979374
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