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mf_newforms • Show schema
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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, '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': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1351, 'conrey_indexes': [1351], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [0, 1]], [17, [0, 1]], [31, [64, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043264281482190, 'hecke_ring_generator_nbound': 2, '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, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5070.2.b.m', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.a.d', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}+q^{3}-q^{4}-iq^{5}+iq^{6}+2iq^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5070.2.b', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1579828936489479360, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.905', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.095', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '5070.2.b.m', 'level': 5070, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'conrey_index': 1351, 'cusp_dim': 1036, 'dim': 100, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 68753036238, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8], 'label': '5070.2.b', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1148, 'mf_new_dim': 100, 'num_forms': 27, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 2184, 'trace_bound': 22, 'trace_display': [0, 4, 0, 0], 'traces': [100, 0, 4, -100, 0, 0, 0, 0, 100, -4, 0, -4, 0, -8, 0, 100, 0, 0, 0, 0, 0, -8, 0, 0, -100, 0, 4, 0, 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mf_twists_nf • Show schema
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id: 1241222
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '390.2.a.d', 'target_level': 390, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241223
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1170.2.a.k', 'target_level': 1170, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1241224
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1950.2.a.o', 'target_level': 1950, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1241225
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.e.d', 'target_level': 1950, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1241226
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.e.d', 'target_level': 1950, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1241227
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3120.2.a.j', 'target_level': 3120, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1241228
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '5070.2.a.t', 'target_level': 5070, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241229
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5070.2.b.m', 'target_level': 5070, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1241230
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5070.2.b.m', 'target_level': 5070, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1241231
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5850.2.a.g', 'target_level': 5850, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1241232
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5850.2.e.o', 'target_level': 5850, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '195.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1241233
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5850.2.e.o', 'target_level': 5850, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '195.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1241234
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '5070.2.b.m', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '9360.2.a.g', 'target_level': 9360, 'twist_class_label': '390.2.a.d', 'twist_class_level': 390, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3790850
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 2}
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id: 3790851
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 3}
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id: 3790852
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 5}
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id: 3790853
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 7}
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id: 3790854
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 11}
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id: 3790855
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 13}
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id: 3790856
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 17}
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id: 3790857
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 19}
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id: 3790858
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 23}
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id: 3790859
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 29}
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id: 3790860
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 31}
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id: 3790861
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 37}
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id: 3790862
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 41}
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id: 3790863
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 43}
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id: 3790864
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 47}
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id: 3790865
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 53}
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id: 3790866
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 59}
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id: 3790867
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 61}
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id: 3790868
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 67}
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id: 3790869
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 71}
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id: 3790870
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 73}
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id: 3790871
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 54043264281482190, 'p': 79}
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id: 3790872
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 83}
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id: 3790873
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 89}
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id: 3790874
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 54043264281482190, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 13, 'label': '5070.2.b.m', 'level': 5070, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225152000
{'hecke_orbit_code': 54043264281482190, 'n': 1, 'trace_an': 2}
-
id: 225152001
{'hecke_orbit_code': 54043264281482190, 'n': 2, 'trace_an': 0}
-
id: 225152002
{'hecke_orbit_code': 54043264281482190, 'n': 3, 'trace_an': 2}
-
id: 225152003
{'hecke_orbit_code': 54043264281482190, 'n': 4, 'trace_an': -2}
-
id: 225152004
{'hecke_orbit_code': 54043264281482190, 'n': 5, 'trace_an': 0}
-
id: 225152005
{'hecke_orbit_code': 54043264281482190, 'n': 6, 'trace_an': 0}
-
id: 225152006
{'hecke_orbit_code': 54043264281482190, 'n': 7, 'trace_an': 0}
-
id: 225152007
{'hecke_orbit_code': 54043264281482190, 'n': 8, 'trace_an': 0}
-
id: 225152008
{'hecke_orbit_code': 54043264281482190, 'n': 9, 'trace_an': 2}
-
id: 225152009
{'hecke_orbit_code': 54043264281482190, 'n': 10, 'trace_an': 2}
-
id: 225152010
{'hecke_orbit_code': 54043264281482190, 'n': 11, 'trace_an': 0}
-
id: 225152011
{'hecke_orbit_code': 54043264281482190, 'n': 12, 'trace_an': -2}
-
id: 225152012
{'hecke_orbit_code': 54043264281482190, 'n': 13, 'trace_an': 0}
-
id: 225152013
{'hecke_orbit_code': 54043264281482190, 'n': 14, 'trace_an': -4}
-
id: 225152014
{'hecke_orbit_code': 54043264281482190, 'n': 15, 'trace_an': 0}
-
id: 225152015
{'hecke_orbit_code': 54043264281482190, 'n': 16, 'trace_an': 2}
-
id: 225152016
{'hecke_orbit_code': 54043264281482190, 'n': 17, 'trace_an': 0}
-
id: 225152017
{'hecke_orbit_code': 54043264281482190, 'n': 18, 'trace_an': 0}
-
id: 225152018
{'hecke_orbit_code': 54043264281482190, 'n': 19, 'trace_an': 0}
-
id: 225152019
{'hecke_orbit_code': 54043264281482190, 'n': 20, 'trace_an': 0}
-
id: 225152020
{'hecke_orbit_code': 54043264281482190, 'n': 21, 'trace_an': 0}
-
id: 225152021
{'hecke_orbit_code': 54043264281482190, 'n': 22, 'trace_an': 0}
-
id: 225152022
{'hecke_orbit_code': 54043264281482190, 'n': 23, 'trace_an': 12}
-
id: 225152023
{'hecke_orbit_code': 54043264281482190, 'n': 24, 'trace_an': 0}
-
id: 225152024
{'hecke_orbit_code': 54043264281482190, 'n': 25, 'trace_an': -2}
-
id: 225152025
{'hecke_orbit_code': 54043264281482190, 'n': 26, 'trace_an': 0}
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id: 225152026
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