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mf_newforms • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 757, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4624, 0, 10952, 0, 8801, 0, 3036, 0, 486, 0, 36, 0, 1]], [17, [63, 0, -252108, 0, 197515, 0, -41296, 0, 3253, 0, -100, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735236732392, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 24, 8, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1512.2.c.g', 'level': 1512, '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, 7], 'level_radical': 42, 'minimal_twist': '1512.2.c.g', 'prim_orbit_index': 2, 'related_objects': [], 'relative_dim': 24, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1512.2.c', 'trace_display': [0, 0, 0, 24], 'traces': [24, 0, 0, 6, 0, 0, 24, 0, 0, -16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 16, 0, 0, -24, 0, 0, 6, 0, 0, 8, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 24, 0, 0, -6, 0, 0, 16, 0, 0, -58, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 60, 0, 0, 8, 0, 0, -28, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -34, 0, 0, -40, 0, 0, 70, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 54, 0, 0, -8, 0, 0, -38, 0, 0, -16, 0, 0, -96, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -86, 0, 0, -8, 0, 0, 64, 0, 0, 32, 0, 0, 16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 80, 0, 0, -104, 0, 0, -114, 0, 0, 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-164, 0, 0, 0, 0, 0, 358, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 4, 0, 0, -48, 0, 0, 388, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, -112, 0, 0, 88, 0, 0, 56, 0, 0, -88, 0, 0, -80, 0, 0, 0, 0, 0, 302, 0, 0, 0, 0, 0, -98, 0, 0, 512, 0, 0, 252, 0, 0, -424, 0, 0, 372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 1088, 0, 0, 250, 0, 0, 272, 0, 0, 178, 0, 0, 0, 0, 0, -134, 0, 0, 0, 0, 0, -348, 0, 0, 0, 0, 0, -204, 0, 0, 112, 0], 'weight': 2, 'weight_parity': 1}
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label 1512.2.c.g does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 6048, 'analytic_conductor': 12.073380785617594, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1512, 2, [1135, 757, 785, 1081], [2, 1, 2, 2]], 'conrey_index': 757, 'cusp_dim': 276, 'dim': 96, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 17], 'hecke_orbit_code': 137472509416, 'hecke_orbit_dims': [2, 2, 8, 16, 20, 24, 24], 'label': '1512.2.c', 'level': 1512, '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, 7], 'level_radical': 42, 'mf_dim': 300, 'mf_new_dim': 96, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 576, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 24, 0, 0, -96, 0, 0, 16, 0, 0, -16, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -4, 0, 0, 96, 0, 0, 24, 0, 0, 32, 0, 0, -44, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, 0, 0, 80, 0, 0, 12, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 92, 0, 0, -32, 0, 0, 28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 92, 0, 0, -96, 0, 0, 24, 0, 0, -64, 0, 0, -128, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 64, 0, 0, 0, 0, 0, -128, 0, 0, 16, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -44, 0, 0, -160, 0, 0, -4, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -168, 0, 0, 64, 0, 0, -4, 0, 0, 192, 0, 0, -56, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 16, 0, 0, -64, 0, 0, -8, 0, 0, -16, 0, 0, 180, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -156, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 32, 0, 0, -168, 0, 0, -80, 0, 0, 68, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -112, 0, 0, -64, 0, 0, -136, 0, 0, -144, 0, 0, -48, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -140, 0, 0, -16, 0, 0, 232, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -112, 0, 0, -16, 0, 0, -12, 0, 0, 336, 0, 0, -308, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 272, 0, 0, -16, 0, 0, -128, 0, 0, 224, 0, 0, 48, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -128, 0, 0, 64, 0, 0, 408, 0, 0, -336, 0, 0, 264, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 196, 0, 0, 64, 0, 0, -16, 0, 0, -128, 0, 0, 4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, 16, 0, 0, 8, 0, 0, 128, 0, 0, 96, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -104, 0, 0, 32, 0, 0, -260, 0, 0, 80, 0, 0, -4, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 180, 0, 0, -80, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -116, 0, 0, 64, 0, 0, 112, 0, 0, -112, 0, 0, 76, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 312, 0, 0, -16, 0, 0, -216, 0, 0, 0, 0, 0, -300, 0, 0, 0, 0, 0, 20, 0, 0, -320, 0, 0, 208, 0, 0, -144, 0, 0, -172, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -80, 0, 0, 352, 0, 0, 8, 0, 0, -160, 0, 0, -232, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 236, 0, 0, -368, 0, 0, -16, 0, 0, 16, 0, 0, 176, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 472, 0, 0, 96, 0, 0, 164, 0, 0, 64, 0, 0, 12, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 216, 0, 0, -48, 0, 0, 296, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 48, 0, 0, 320, 0, 0, -168, 0, 0, -176, 0, 0, -148, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -220, 0, 0, 16, 0, 0, -368, 0, 0, -768, 0, 0, 504, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, -696, 0, 0, 336, 0, 0, -248, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 108, 0, 0, 32, 0, 0, -260, 0, 0, 592, 0, 0, 224, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -460, 0, 0, 112, 0, 0, 352, 0, 0, 32, 0, 0, -240, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, -360, 0, 0, -96, 0, 0, 128, 0, 0, 208, 0, 0, -152, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -372, 0, 0, -48, 0, 0, 236, 0, 0, 64, 0, 0, 280, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 424, 0, 0, -496, 0, 0, -20, 0, 0, 16, 0, 0, -456, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 128, 0, 0, -176, 0, 0, -64, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -136, 0, 0, -160, 0, 0, 248, 0, 0, 80, 0, 0, 252, 0, 0, 0, 0, 0, 636, 0, 0, 0, 0, 0, -368, 0, 0, 448, 0, 0, -56, 0, 0, 176, 0, 0, 552, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -276, 0, 0, 192, 0, 0, -136, 0, 0, 576, 0, 0, -120, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 32, 0, 0, -608, 0, 0, -144, 0, 0, 112, 0, 0, 0, 0, 0, 56], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 748654
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1512.2.c.g', 'target_level': 1512, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 748655
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1512.2.c.g', 'target_level': 1512, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 748656
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1512.2.c.g', 'target_level': 1512, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 748657
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1512.2.c.g', 'target_level': 1512, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 748658
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6048.2.c.f', 'target_level': 6048, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 748659
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6048.2.c.f', 'target_level': 6048, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 748660
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6048.2.c.f', 'target_level': 6048, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 748661
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 24, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '1512.2.c.g', 'source_level': 1512, 'target_char_orbit': 3, 'target_dim': 24, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6048.2.c.f', 'target_level': 6048, 'twist_class_label': '1512.2.c.g', 'twist_class_level': 1512, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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hecke_orbit_code 27021735236732392 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '1512.2.c.g', 'level': 1512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47150251
{'hecke_orbit_code': 27021735236732392, 'n': 1, 'trace_an': 24}
-
id: 47150252
{'hecke_orbit_code': 27021735236732392, 'n': 2, 'trace_an': 0}
-
id: 47150253
{'hecke_orbit_code': 27021735236732392, 'n': 3, 'trace_an': 0}
-
id: 47150254
{'hecke_orbit_code': 27021735236732392, 'n': 4, 'trace_an': 6}
-
id: 47150255
{'hecke_orbit_code': 27021735236732392, 'n': 5, 'trace_an': 0}
-
id: 47150256
{'hecke_orbit_code': 27021735236732392, 'n': 6, 'trace_an': 0}
-
id: 47150257
{'hecke_orbit_code': 27021735236732392, 'n': 7, 'trace_an': 24}
-
id: 47150258
{'hecke_orbit_code': 27021735236732392, 'n': 8, 'trace_an': 0}
-
id: 47150259
{'hecke_orbit_code': 27021735236732392, 'n': 9, 'trace_an': 0}
-
id: 47150260
{'hecke_orbit_code': 27021735236732392, 'n': 10, 'trace_an': -16}
-
id: 47150261
{'hecke_orbit_code': 27021735236732392, 'n': 11, 'trace_an': 0}
-
id: 47150262
{'hecke_orbit_code': 27021735236732392, 'n': 12, 'trace_an': 0}
-
id: 47150263
{'hecke_orbit_code': 27021735236732392, 'n': 13, 'trace_an': 0}
-
id: 47150264
{'hecke_orbit_code': 27021735236732392, 'n': 14, 'trace_an': 0}
-
id: 47150265
{'hecke_orbit_code': 27021735236732392, 'n': 15, 'trace_an': 0}
-
id: 47150266
{'hecke_orbit_code': 27021735236732392, 'n': 16, 'trace_an': 2}
-
id: 47150267
{'hecke_orbit_code': 27021735236732392, 'n': 17, 'trace_an': 0}
-
id: 47150268
{'hecke_orbit_code': 27021735236732392, 'n': 18, 'trace_an': 0}
-
id: 47150269
{'hecke_orbit_code': 27021735236732392, 'n': 19, 'trace_an': 0}
-
id: 47150270
{'hecke_orbit_code': 27021735236732392, 'n': 20, 'trace_an': 0}
-
id: 47150271
{'hecke_orbit_code': 27021735236732392, 'n': 21, 'trace_an': 0}
-
id: 47150272
{'hecke_orbit_code': 27021735236732392, 'n': 22, 'trace_an': 16}
-
id: 47150273
{'hecke_orbit_code': 27021735236732392, 'n': 23, 'trace_an': 0}
-
id: 47150274
{'hecke_orbit_code': 27021735236732392, 'n': 24, 'trace_an': 0}
-
id: 47150275
{'hecke_orbit_code': 27021735236732392, 'n': 25, 'trace_an': -24}
-
id: 47150276
{'hecke_orbit_code': 27021735236732392, 'n': 26, 'trace_an': 0}
-
id: 47150277
{'hecke_orbit_code': 27021735236732392, 'n': 27, 'trace_an': 0}
-
id: 47150278
{'hecke_orbit_code': 27021735236732392, 'n': 28, 'trace_an': 6}
-
id: 47150279
{'hecke_orbit_code': 27021735236732392, 'n': 29, 'trace_an': 0}
-
id: 47150280
{'hecke_orbit_code': 27021735236732392, 'n': 30, 'trace_an': 0}
-
id: 47150281
{'hecke_orbit_code': 27021735236732392, 'n': 31, 'trace_an': 8}
-
id: 47150282
{'hecke_orbit_code': 27021735236732392, 'n': 32, 'trace_an': 0}
-
id: 47150283
{'hecke_orbit_code': 27021735236732392, 'n': 33, 'trace_an': 0}
-
id: 47150284
{'hecke_orbit_code': 27021735236732392, 'n': 34, 'trace_an': 22}
-
id: 47150285
{'hecke_orbit_code': 27021735236732392, 'n': 35, 'trace_an': 0}
-
id: 47150286
{'hecke_orbit_code': 27021735236732392, 'n': 36, 'trace_an': 0}
-
id: 47150287
{'hecke_orbit_code': 27021735236732392, 'n': 37, 'trace_an': 0}
-
id: 47150288
{'hecke_orbit_code': 27021735236732392, 'n': 38, 'trace_an': 0}
-
id: 47150289
{'hecke_orbit_code': 27021735236732392, 'n': 39, 'trace_an': 0}
-
id: 47150290
{'hecke_orbit_code': 27021735236732392, 'n': 40, 'trace_an': 0}
-
id: 47150291
{'hecke_orbit_code': 27021735236732392, 'n': 41, 'trace_an': 0}
-
id: 47150292
{'hecke_orbit_code': 27021735236732392, 'n': 42, 'trace_an': 0}
-
id: 47150293
{'hecke_orbit_code': 27021735236732392, 'n': 43, 'trace_an': 0}
-
id: 47150294
{'hecke_orbit_code': 27021735236732392, 'n': 44, 'trace_an': 0}
-
id: 47150295
{'hecke_orbit_code': 27021735236732392, 'n': 45, 'trace_an': 0}
-
id: 47150296
{'hecke_orbit_code': 27021735236732392, 'n': 46, 'trace_an': 26}
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id: 47150498
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id: 47150499
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id: 47150500
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id: 47150501
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id: 47150502
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id: 47150503
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id: 47150504
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id: 47150505
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id: 47150506
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id: 47150507
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id: 47150508
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