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mf_newforms • Show schema
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{'Nk2': 14336, 'analytic_conductor': 28.61838408442689, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [3584, 2, [1023, 1541, 1025], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 1793, 'conrey_indexes': [1793], 'dim': 10, 'field_disc': -599109358583808, 'field_disc_factorization': [[-1, 1], [2, 23], [3, 6], [313, 2]], 'field_poly': [36, 72, -66, -80, 158, -48, 3, -12, 12, -4, 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': [[3, [72, 0, 484, 0, 728, 0, 228, 0, 26, 0, 1]], [23, [1296, 644, -112, -60, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021666517257728, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 512, 'hecke_ring_index_factorization': [[2, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 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': '3584.2.b.g', 'level': 3584, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '3584.2.a.o', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{1}q^{3}-\\beta _{6}q^{5}-q^{7}+(-2-\\beta _{5}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3584.2.b', 'trace_display': [0, 0, 0, -10], 'trace_hash': 1510800378399543603, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.749', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.977', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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[10, 0, 0, 3, 3, -3, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 4, 6, 2, -3], [0, 17, 0, 0, 0, 0, 4, -8, -2, 0], [-3, 0, 1, -6, 4, 8, 0, 0, 0, 0], [8, 0, -2, -2, 4, 10, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 4, 5, -3, -3], [10, 0, 6, 7, 1, -11, 0, 0, 0, 0], [0, 0, 3, -7, 0, -5, 0, 0, 0, 0], [0, -9, 0, 0, 0, 0, -8, 17, 3, -5], [0, -9, 0, 0, 0, 0, 4, 10, 2, 0], [9, 0, 6, -6, 6, 3, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 8, -4, -2, -4], [0, -13, 0, 0, 0, 0, -6, 0, 5, -3], [0, -10, 0, 0, 0, 0, 3, -2, -6, -6], [-14, 0, -3, -1, -4, -3, 0, 0, 0, 0], [0, -8, 0, 0, 0, 0, 4, -2, 0, -3], [0, 1, 0, 0, 0, 0, -16, -6, 8, -4], [0, 13, 0, 0, 0, 0, 8, 4, -8, 4], [-32, 0, 1, -4, 5, -2, 0, 0, 0, 0], [0, -9, 0, 0, 0, 0, 12, 3, -1, -3], [20, 0, -2, -6, -2, -4, 0, 0, 0, 0]], 'char_orbit_index': 2, 'field_poly': [36, 72, -66, -80, 158, -48, 3, -12, 12, -4, 1], 'hecke_orbit_code': 27021666517257728, 'hecke_ring_character_values': [[1023, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1541, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1025, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1451844, 725922, 725922, 725922, 725922, 1451844, 40329, 725922, 1451844], 'hecke_ring_inverse_denominators': [1, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, 0, 1, 0, 0, -2, 1, 1, -1], [-4, 1, 1, -1, 1, 2, -2, 3, 3, -1], [-22, 5, 3, -7, 3, 8, 2, -6, -3, -1], [-18, 37, -1, 1, 3, 0, 38, -40, -31, 11], [230, 59, -24, 48, -39, -71, 60, -52, -41, 19], [578, -209, -65, 133, -95, -186, -258, 220, 203, -99], [-870, -865, 40, -178, 131, 215, -1064, 1048, 915, -377], [-7654, -329, 649, -1849, 1165, 2288, -350, 372, 291, -103], [-11770, 7379, 972, -2686, 1827, 3431, 9296, -8946, -7965, 3395]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2273868, -1109304, 6984030, -2064154, 12764, -313772, 463067, -140969, 39443, 1883], [-9846, -3911724, -1103322, 3566650, -877304, -201334, -289322, 209765, -84722, 15829], [-1858968, 2932884, 582306, -2799902, 934966, -18106, 125815, -198991, 66337, -19133], [4740426, -3111984, -850908, 2918896, -620576, -159244, -199391, 257948, -88931, 22726], [-1480806, 5074416, 1214952, -4770464, 1332430, 124556, 285913, -353158, 124663, -31664], [9111492, 3643452, -24722286, 18554846, -4281784, 1741774, -2393731, 1411729, -432283, 77231], [165024, 19098, -416874, 604930, -207770, 33773, -55454, 48281, -15476, 3820], [-2399184, 129366, 5808030, -11128874, 4084954, -413401, 850897, -878263, 287347, -76448], [-15620868, -5172948, 40233750, -41125610, 11110924, -2816962, 4281475, -3098881, 975355, -209987]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '3584.2.b.g', 'level': 3584, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 14336, 'analytic_conductor': 28.61838408442689, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [3584, 2, [1023, 1541, 1025], [2, 1, 2]], 'conrey_index': 1793, 'cusp_dim': 480, 'dim': 96, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 23], 'hecke_orbit_code': 68753034752, 'hecke_orbit_dims': [2, 2, 4, 4, 8, 8, 10, 10, 12, 12, 12, 12], 'label': '3584.2.b', 'level': 3584, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 544, 'mf_new_dim': 96, 'num_forms': 12, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1024, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, 0, 0, -832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, -896, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1120600
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '3584.2.a.o', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1120601
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '3584.2.a.p', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1120602
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3584.2.b.g', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1120603
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3584.2.b.g', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1120604
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3584.2.b.h', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1120605
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '3584.2.b.g', 'source_level': 3584, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3584.2.b.h', 'target_level': 3584, 'twist_class_label': '3584.2.a.o', 'twist_class_level': 3584, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3253825
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 27021666517257728, 'p': 2}
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id: 3253826
{'charpoly_factorization': [[[72, 0, 484, 0, 728, 0, 228, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 3}
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id: 3253827
{'charpoly_factorization': [[[512, 0, 4100, 0, 2672, 0, 532, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 5}
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id: 3253828
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 27021666517257728, 'p': 7}
-
id: 3253829
{'charpoly_factorization': [[[1492992, 0, 517120, 0, 63872, 0, 3648, 0, 98, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 11}
-
id: 3253830
{'charpoly_factorization': [[[4608, 0, 31492, 0, 40112, 0, 3540, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 13}
-
id: 3253831
{'charpoly_factorization': [[[-1152, -80, 256, -24, -8, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 17}
-
id: 3253832
{'charpoly_factorization': [[[5832, 0, 426340, 0, 80024, 0, 5028, 0, 122, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 19}
-
id: 3253833
{'charpoly_factorization': [[[1296, 644, -112, -60, 4, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 23}
-
id: 3253834
{'charpoly_factorization': [[[18432, 0, 1052928, 0, 247296, 0, 11296, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 29}
-
id: 3253835
{'charpoly_factorization': [[[-384, -928, -640, -96, 4, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 31}
-
id: 3253836
{'charpoly_factorization': [[[1492992, 0, 4702464, 0, 459776, 0, 15648, 0, 216, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 37}
-
id: 3253837
{'charpoly_factorization': [[[28128, 3632, -1072, -120, 10, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 41}
-
id: 3253838
{'charpoly_factorization': [[[18432, 0, 13777920, 0, 1013376, 0, 25984, 0, 274, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 43}
-
id: 3253839
{'charpoly_factorization': [[[10368, 288, -768, -48, 12, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 47}
-
id: 3253840
{'charpoly_factorization': [[[5752832, 0, 2787584, 0, 425984, 0, 22240, 0, 280, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 53}
-
id: 3253841
{'charpoly_factorization': [[[52488, 0, 96228, 0, 45144, 0, 6628, 0, 202, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 59}
-
id: 3253842
{'charpoly_factorization': [[[7558272, 0, 2970756, 0, 337392, 0, 13140, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 61}
-
id: 3253843
{'charpoly_factorization': [[[2654208, 0, 1474560, 0, 244224, 0, 11904, 0, 194, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 67}
-
id: 3253844
{'charpoly_factorization': [[[1152, 144, -416, -120, 0, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 71}
-
id: 3253845
{'charpoly_factorization': [[[-10496, -6768, -928, 104, 24, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 73}
-
id: 3253846
{'charpoly_factorization': [[[11584, -7664, 1216, 40, -20, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 79}
-
id: 3253847
{'charpoly_factorization': [[[7235208, 0, 2354788, 0, 247064, 0, 10020, 0, 170, 0, 1], 1]], 'hecke_orbit_code': 27021666517257728, 'p': 83}
-
id: 3253848
{'charpoly_factorization': [[[-2304, 2064, -288, -72, 8, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 89}
-
id: 3253849
{'charpoly_factorization': [[[-1536, -6352, 4288, -264, -16, 1], 2]], 'hecke_orbit_code': 27021666517257728, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 7, 'label': '3584.2.b.g', 'level': 3584, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 182536000
{'hecke_orbit_code': 27021666517257728, 'n': 1, 'trace_an': 10}
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id: 182536001
{'hecke_orbit_code': 27021666517257728, 'n': 2, 'trace_an': 0}
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id: 182536002
{'hecke_orbit_code': 27021666517257728, 'n': 3, 'trace_an': 0}
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id: 182536003
{'hecke_orbit_code': 27021666517257728, 'n': 4, 'trace_an': 0}
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id: 182536004
{'hecke_orbit_code': 27021666517257728, 'n': 5, 'trace_an': 0}
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id: 182536005
{'hecke_orbit_code': 27021666517257728, 'n': 6, 'trace_an': 0}
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id: 182536006
{'hecke_orbit_code': 27021666517257728, 'n': 7, 'trace_an': -10}
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id: 182536007
{'hecke_orbit_code': 27021666517257728, 'n': 8, 'trace_an': 0}
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id: 182536008
{'hecke_orbit_code': 27021666517257728, 'n': 9, 'trace_an': -22}
-
id: 182536009
{'hecke_orbit_code': 27021666517257728, 'n': 10, 'trace_an': 0}
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id: 182536010
{'hecke_orbit_code': 27021666517257728, 'n': 11, 'trace_an': 0}
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id: 182536011
{'hecke_orbit_code': 27021666517257728, 'n': 12, 'trace_an': 0}
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id: 182536012
{'hecke_orbit_code': 27021666517257728, 'n': 13, 'trace_an': 0}
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id: 182536013
{'hecke_orbit_code': 27021666517257728, 'n': 14, 'trace_an': 0}
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id: 182536014
{'hecke_orbit_code': 27021666517257728, 'n': 15, 'trace_an': 16}
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id: 182536015
{'hecke_orbit_code': 27021666517257728, 'n': 16, 'trace_an': 0}
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id: 182536016
{'hecke_orbit_code': 27021666517257728, 'n': 17, 'trace_an': 16}
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id: 182536017
{'hecke_orbit_code': 27021666517257728, 'n': 18, 'trace_an': 0}
-
id: 182536018
{'hecke_orbit_code': 27021666517257728, 'n': 19, 'trace_an': 0}
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id: 182536019
{'hecke_orbit_code': 27021666517257728, 'n': 20, 'trace_an': 0}
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id: 182536020
{'hecke_orbit_code': 27021666517257728, 'n': 21, 'trace_an': 0}
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id: 182536021
{'hecke_orbit_code': 27021666517257728, 'n': 22, 'trace_an': 0}
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id: 182536022
{'hecke_orbit_code': 27021666517257728, 'n': 23, 'trace_an': -8}
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id: 182536023
{'hecke_orbit_code': 27021666517257728, 'n': 24, 'trace_an': 0}
-
id: 182536024
{'hecke_orbit_code': 27021666517257728, 'n': 25, 'trace_an': -30}
-
id: 182536025
{'hecke_orbit_code': 27021666517257728, 'n': 26, 'trace_an': 0}
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id: 182536026
{'hecke_orbit_code': 27021666517257728, 'n': 27, 'trace_an': 0}
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id: 182536027
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