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mf_newforms • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'cm_discs': [], 'conrey_index': 126, 'dim': 16, 'field_disc': 221533456000000000000, 'field_disc_factorization': [[2, 16], [5, 12], [61, 4]], 'field_poly': [625, 0, 1125, 0, 900, 0, 395, 0, 11, 0, -49, 0, -4, 0, 1, 0, 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, [1, 0, -17, 0, 863, 0, 1246, 0, 755, 0, 146, 0, 38, 0, 8, 0, 1]], [3, [256, 0, -448, 0, 4448, 0, 4704, 0, 2105, 0, 399, 0, 53, 0, 7, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050600975172209, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 25, 'hecke_ring_index_factorization': [[5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 25, 4, 1, 5, 0], [1, 1, 25, 5, 1, 10, 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': '625.2.d.o', 'level': 625, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'minimal_twist': '25.2.e.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(-\\beta _{1}-\\beta _{11}-\\beta _{13})q^{2}+(-\\beta _{6}+\\beta _{11}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '625.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1349359810023810386, 'trace_moments': 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mf_hecke_cc • Show schema
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0.05660328558557014, 'hecke_orbit': 15, 'hecke_orbit_code': 63050600975172209, 'label': '625.2.d.o.376.4', 'level': 625, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2500, 'analytic_conductor': 4.990650126330024, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [625, 5, [2], [2]], 'conrey_index': 126, 'cusp_dim': 188, 'dim': 136, 'eis_dim': 120, 'eis_new_dim': 48, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191985265, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 16, 16, 16, 16, 16], 'label': '625.2.d', 'level': 625, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5], 'level_radical': 5, 'mf_dim': 308, 'mf_new_dim': 184, 'num_forms': 17, 'prim_orbit_index': 4, 'relative_dim': 34, 'sturm_bound': 125, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [136, 0, 0, -28, 0, 12, 0, 0, -22, 0, 12, 0, 0, 24, 0, -4, 0, 0, 0, 0, 12, 0, 0, -40, 0, -68, 0, 0, -20, 0, 12, 0, 0, 14, 0, -24, 0, 0, -24, 0, -8, 0, 0, -16, 0, 12, 0, 0, -8, 0, -48, 0, 0, 60, 0, -20, 0, 0, 0, 0, -8, 0, 0, 32, 0, -36, 0, 0, 36, 0, -28, 0, 0, -36, 0, -80, 0, 0, 0, 0, -14, 0, 0, 104, 0, 12, 0, 0, -10, 0, 12, 0, 0, -106, 0, -78, 0, 0, -64, 0, -108, 0, 0, 50, 0, -48, 0, 0, -60, 0, 72, 0, 0, -90, 0, 150, 0, 0, 44, 0, 98, 0, 0, 344, 0, 192, 0, 0, -54, 0, 72, 0, 0, -106, 0, -20, 0, 0, 60, 0, -18, 0, 0, 88, 0, 42, 0, 0, -100, 0, -128, 0, 0, 28, 0, 52, 0, 0, 116, 0, -118, 0, 0, -36, 0, -158, 0, 0, 18, 0, -60, 0, 0, 320, 0, -168, 0, 0, 60, 0, -48, 0, 0, -170, 0, 4, 0, 0, -30, 0, -28, 0, 0, 144, 0, -16, 0, 0, -80, 0, -88, 0, 0, -126, 0, -198, 0, 0, 60, 0, 12, 0, 0, 24, 0, 120, 0, 0, -114, 0, -108, 0, 0, -536, 0, 212, 0, 0, 110, 0, -46, 0, 0, 76, 0, 160, 0, 0, -90, 0, 162, 0, 0, -86, 0, 114, 0, 0, 336, 0, 232, 0, 0, -66, 0, 276, 0, 0, -6, 0, 0, 0, 0, 240, 0, -10, 0, 0, 0, 0, 132, 0, 0, -276, 0, 72, 0, 0, -64, 0, 42, 0, 0, 104, 0, -106, 0, 0, -38, 0, -238, 0, 0, -126, 0, 0, 0, 0, 256, 0, -88, 0, 0, 50, 0, 92, 0, 0, -94, 0, -148, 0, 0, -36, 0, -100, 0, 0, 40, 0, -158, 0, 0, -568, 0, -168, 0, 0, -46, 0, -158, 0, 0, 134, 0, 92, 0, 0, 136, 0, -16, 0, 0, -100, 0, -148, 0, 0, -100, 0, 80, 0, 0, 140, 0, -20, 0, 0, -100, 0, 206, 0, 0, -176, 0, 114, 0, 0, 6, 0, 102, 0, 0, 568, 0, 360, 0, 0, -180, 0, 102, 0, 0, -80, 0, 52, 0, 0, 120, 0, -88, 0, 0, 44, 0, 312, 0, 0, -640, 0, 172, 0, 0, 64, 0, 20, 0, 0, 130, 0, -228, 0, 0, -34, 0, -68, 0, 0, -250, 0, -88, 0, 0, 580, 0, -256, 0, 0, -38, 0, -148, 0, 0, -232, 0, -250, 0, 0, -60, 0, 86, 0, 0, 364, 0, -358, 0, 0, 180, 0, -216, 0, 0, -316, 0, -180, 0, 0, -10, 0, 62, 0, 0, 50, 0, 172, 0, 0, 154, 0, 162, 0, 0, -40, 0, 368, 0, 0, 120, 0, 192, 0, 0, 156, 0, 342, 0, 0, 6, 0, 162, 0, 0, 180, 0, 52, 0, 0, -320, 0, 832, 0, 0, -70, 0, 134, 0, 0, -240, 0, 242, 0, 0, 134, 0, 2, 0, 0, 36, 0, 222, 0, 0, -376, 0, 512, 0, 0, 58, 0, 320, 0, 0, -20, 0, -310, 0, 0, -106, 0, 12, 0, 0, -36, 0, 224, 0, 0, 956, 0, -320, 0, 0, 244, 0, -270, 0, 0, 146, 0, -106, 0, 0, -126, 0, -278, 0, 0, -20, 0, -248, 0, 0, -272, 0, -1024, 0, 0, -14, 0, -278, 0, 0, -20, 0, 2, 0, 0, 160, 0, 52, 0, 0, -360, 0, -250, 0, 0, 120, 0, -588, 0, 0, 184, 0, -196, 0, 0, -30, 0, 42, 0, 0, -456, 0, 40, 0, 0, 120, 0, -190, 0, 0, 976, 0, -1128, 0, 0, 104, 0, 12, 0, 0, 254, 0, -108, 0, 0, -94, 0, 162, 0, 0, -146, 0, 10, 0, 0, -360, 0, -736, 0, 0, 150, 0, 262, 0, 0, 280, 0, 162, 0, 0, -60, 0, -378, 0, 0, -394, 0, 44, 0, 0, -776, 0, -804, 0, 0, 194, 0, -318, 0, 0, -260, 0, -240, 0, 0, 256, 0, -198, 0, 0, 214, 0, -290, 0, 0, 376, 0, 212, 0, 0, -336, 0, 82, 0, 0, 150, 0, 60, 0, 0, 328, 0, 320, 0, 0, -70, 0, -78, 0, 0, 244, 0, 936, 0, 0, 398, 0, 122, 0, 0, -46, 0, 152, 0, 0, -170, 0, 290, 0, 0, 70, 0, 642, 0, 0, -96, 0, 472, 0, 0, -130, 0, 210, 0, 0, -88, 0, 142, 0, 0, 284, 0, 112, 0, 0, 470, 0, 242, 0, 0, -1544, 0, 1060, 0, 0, -210, 0, 84, 0, 0, 172, 0, -76, 0, 0, -354, 0, -78, 0, 0, 74, 0, -30, 0, 0, 424, 0, 20, 0, 0, -76, 0, -96, 0, 0, -140, 0, -158, 0, 0, -92, 0, -88, 0, 0, 186, 0, 22, 0, 0, 480, 0, -200, 0, 0, -120, 0, -188, 0, 0, 100, 0, 380, 0, 0, 160, 0, 126, 0, 0, -356, 0, -348, 0, 0, -664, 0, -8, 0, 0, -142, 0, -260, 0, 0, -160, 0, -126, 0, 0, -100, 0, -128, 0, 0, 150, 0, -68, 0, 0, 1040, 0, 592, 0, 0, -164, 0, 302, 0, 0, -206, 0, -268, 0, 0, 94, 0, -148, 0, 0, -20, 0, 160, 0, 0, -280, 0, -88, 0, 0, -40, 0, 74, 0, 0, 196, 0, -348, 0, 0, 314, 0, -360, 0, 0, -300, 0, -138, 0, 0, 328, 0, -248, 0, 0, 70, 0, 210, 0, 0, -576, 0, -80, 0, 0, -64, 0, -288, 0, 0, 80, 0, -76, 0, 0, -1084, 0, 312, 0, 0, -334, 0, -360, 0, 0, 14, 0, 398, 0, 0, 104, 0, 334, 0, 0, 0, 0, 32, 0, 0, 904, 0, 772, 0, 0, 270, 0, 150, 0, 0, 110, 0, 330, 0, 0, 76, 0, 322, 0, 0, -272, 0, -28, 0, 0, 320, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47852887
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 376, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600975172209, 'target_is_minimal': False, 'target_label': '625.2.d.o.376.4', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47852888
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462001, 'target_is_minimal': False, 'target_label': '625.2.e.a.249.1', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47852889
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 249, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071930425969, 'target_is_minimal': False, 'target_label': '625.2.e.i.249.2', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47852890
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 376, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172209, 'target_is_minimal': False, 'target_label': '625.2.d.o.376.1', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47852891
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029071930425969, 'target_is_minimal': False, 'target_label': '625.2.e.i.374.2', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47852892
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461401, 'target_is_minimal': True, 'target_label': '25.2.e.a.19.1', 'target_level': 25, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47852893
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503805819355261, 'target_is_minimal': False, 'target_label': '125.2.d.b.26.4', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47852894
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407537, 'target_is_minimal': False, 'target_label': '625.2.a.f.1.2', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47852895
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007268007772785, 'target_is_minimal': False, 'target_label': '625.2.b.c.624.7', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 47852896
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 101, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503805819355261, 'target_is_minimal': False, 'target_label': '125.2.d.b.101.4', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47852897
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050600975172209, 'target_is_minimal': False, 'target_label': '625.2.d.o.251.4', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47852898
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 4, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461401, 'target_is_minimal': True, 'target_label': '25.2.e.a.4.1', 'target_level': 25, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47852899
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 24, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538831997, 'target_is_minimal': False, 'target_label': '125.2.e.b.24.2', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47852900
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 251, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050600975172209, 'target_is_minimal': False, 'target_label': '625.2.d.o.251.1', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47852901
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 101, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355261, 'target_is_minimal': False, 'target_label': '125.2.d.b.101.1', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47852902
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 624, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007772785, 'target_is_minimal': False, 'target_label': '625.2.b.c.624.2', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 47852903
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 22517998170407537, 'target_is_minimal': False, 'target_label': '625.2.a.f.1.7', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47852904
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 26, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355261, 'target_is_minimal': False, 'target_label': '125.2.d.b.26.1', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 47852905
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874538831997, 'target_is_minimal': False, 'target_label': '125.2.e.b.99.2', 'target_level': 125, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 47852906
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 374, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462001, 'target_is_minimal': False, 'target_label': '625.2.e.a.374.1', 'target_level': 625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47852907
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463081465, 'target_is_minimal': False, 'target_label': '5625.2.a.x.1.2', 'target_level': 5625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '75.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 47852908
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275489, 'target_is_minimal': False, 'target_label': '225.2.m.a.19.2', 'target_level': 225, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '75.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 47852909
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 103582791463081465, 'target_is_minimal': False, 'target_label': '5625.2.a.x.1.7', 'target_level': 5625, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '75.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47852910
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 154, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 824667275489, 'target_is_minimal': False, 'target_label': '225.2.m.a.154.2', 'target_level': 225, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '75.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 47852911
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 369, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555737488, 'target_is_minimal': False, 'target_label': '400.2.y.c.369.1', 'target_level': 400, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '100.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47852912
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991531792, 'target_is_minimal': False, 'target_label': '10000.2.a.bj.1.2', 'target_level': 10000, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '100.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47852913
{'conductor': 100, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 157625986991531792, 'target_is_minimal': False, 'target_label': '10000.2.a.bj.1.7', 'target_level': 10000, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '100.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 47852914
{'conductor': 100, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 376, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050600975172209, 'source_is_minimal': False, 'source_label': '625.2.d.o.376.4', 'source_level': 625, 'target_conrey_index': 129, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008848555737488, 'target_is_minimal': False, 'target_label': '400.2.y.c.129.1', 'target_level': 400, 'twist_class_label': '25.2.e.a.4.1', 'twist_class_level': 25, 'twisting_char_label': '100.87', 'twisting_conrey_index': 87, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1136600
{'charpoly_factorization': [[[1, 0, -17, 0, 863, 0, 1246, 0, 755, 0, 146, 0, 38, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 2}
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id: 1136601
{'charpoly_factorization': [[[256, 0, -448, 0, 4448, 0, 4704, 0, 2105, 0, 399, 0, 53, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 3}
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id: 1136602
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 63050600975172209, 'p': 5}
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id: 1136603
{'charpoly_factorization': [[[16, 0, -116, 0, 121, 0, -21, 0, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 7}
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id: 1136604
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 4]], 'hecke_orbit_code': 63050600975172209, 'p': 11}
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id: 1136605
{'charpoly_factorization': [[[1, 0, -3, 0, 108, 0, 479, 0, 855, 0, 479, 0, 108, 0, -3, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 13}
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id: 1136606
{'charpoly_factorization': [[[3748096, 0, -642752, 0, 773408, 0, 49696, 0, 30905, 0, 8816, 0, 1178, 0, 53, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 17}
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id: 1136607
{'charpoly_factorization': [[[400, 800, 800, 450, 335, 135, 50, 10, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 19}
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id: 1136608
{'charpoly_factorization': [[[65536, 0, 28672, 0, 85248, 0, 107504, 0, 64505, 0, 6719, 0, 333, 0, 7, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 23}
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id: 1136609
{'charpoly_factorization': [[[483025, 344025, 132750, 33775, 6885, 1105, 150, 15, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 29}
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id: 1136610
{'charpoly_factorization': [[[1936, -9064, 105252, -16322, 2255, 67, -3, -1, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 31}
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id: 1136611
{'charpoly_factorization': [[[13521270961, 0, 391634408, 0, 495398478, 0, 87235546, 0, 6729555, 0, 222206, 0, 3463, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 37}
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id: 1136612
{'charpoly_factorization': [[[13456, -15544, 8332, -1222, 3805, 382, 62, 9, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 41}
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id: 1136613
{'charpoly_factorization': [[[246016, 0, -56784, 0, 4421, 0, -129, 0, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 43}
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id: 1136614
{'charpoly_factorization': [[[4294967296, 0, -1291845632, 0, 1518665728, 0, 125924096, 0, 5946105, 0, 210016, 0, 12298, 0, 173, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 47}
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id: 1136615
{'charpoly_factorization': [[[76661949773761, 0, 1697131159592, 0, 106782445478, 0, 4408566354, 0, 101911955, 0, 1260894, 0, 12863, 0, 127, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 53}
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id: 1136616
{'charpoly_factorization': [[[4080400, 2605800, 851400, 172200, 24985, 2610, 220, 15, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 59}
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id: 1136617
{'charpoly_factorization': [[[116281, 140151, 38437, -51672, 17305, -318, 252, -6, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 61}
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id: 1136618
{'charpoly_factorization': [[[60523872256, 0, 18295717888, 0, 2484236288, 0, 117354496, 0, 31642880, 0, 862976, 0, 9968, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 67}
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id: 1136619
{'charpoly_factorization': [[[24245776, 9818456, 2542392, 427928, 54105, 5172, 462, 29, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 71}
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id: 1136620
{'charpoly_factorization': [[[1, 0, 27, 0, 303, 0, 1054, 0, 1755, 0, 1354, 0, 6078, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 73}
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id: 1136621
{'charpoly_factorization': [[[33408400, 4913000, 433500, -36550, 7935, -375, 270, -10, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 79}
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id: 1136622
{'charpoly_factorization': [[[9971220736, 0, -1312906688, 0, 8731927008, 0, 5084933504, 0, 1144844105, 0, 4438319, 0, 37293, 0, 247, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 83}
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id: 1136623
{'charpoly_factorization': [[[1392400, 1014800, 629000, 206550, 48335, 7485, 740, 40, 1], 2]], 'hecke_orbit_code': 63050600975172209, 'p': 89}
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id: 1136624
{'charpoly_factorization': [[[90802710507284161, 0, 2945611139430248, 0, 42577340851068, 0, 199383280546, 0, 5403060030, 0, 16977956, 0, 81853, 0, 338, 0, 1], 1]], 'hecke_orbit_code': 63050600975172209, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 15, 'label': '625.2.d.o', 'level': 625, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60267487
{'hecke_orbit_code': 63050600975172209, 'n': 1, 'trace_an': 16}
-
id: 60267488
{'hecke_orbit_code': 63050600975172209, 'n': 2, 'trace_an': 0}
-
id: 60267489
{'hecke_orbit_code': 63050600975172209, 'n': 3, 'trace_an': 0}
-
id: 60267490
{'hecke_orbit_code': 63050600975172209, 'n': 4, 'trace_an': -8}
-
id: 60267491
{'hecke_orbit_code': 63050600975172209, 'n': 5, 'trace_an': 0}
-
id: 60267492
{'hecke_orbit_code': 63050600975172209, 'n': 6, 'trace_an': 12}
-
id: 60267493
{'hecke_orbit_code': 63050600975172209, 'n': 7, 'trace_an': 0}
-
id: 60267494
{'hecke_orbit_code': 63050600975172209, 'n': 8, 'trace_an': 0}
-
id: 60267495
{'hecke_orbit_code': 63050600975172209, 'n': 9, 'trace_an': -2}
-
id: 60267496
{'hecke_orbit_code': 63050600975172209, 'n': 10, 'trace_an': 0}
-
id: 60267497
{'hecke_orbit_code': 63050600975172209, 'n': 11, 'trace_an': -8}
-
id: 60267498
{'hecke_orbit_code': 63050600975172209, 'n': 12, 'trace_an': 0}
-
id: 60267499
{'hecke_orbit_code': 63050600975172209, 'n': 13, 'trace_an': 0}
-
id: 60267500
{'hecke_orbit_code': 63050600975172209, 'n': 14, 'trace_an': 14}
-
id: 60267501
{'hecke_orbit_code': 63050600975172209, 'n': 15, 'trace_an': 0}
-
id: 60267502
{'hecke_orbit_code': 63050600975172209, 'n': 16, 'trace_an': -4}
-
id: 60267503
{'hecke_orbit_code': 63050600975172209, 'n': 17, 'trace_an': 0}
-
id: 60267504
{'hecke_orbit_code': 63050600975172209, 'n': 18, 'trace_an': 0}
-
id: 60267505
{'hecke_orbit_code': 63050600975172209, 'n': 19, 'trace_an': -20}
-
id: 60267506
{'hecke_orbit_code': 63050600975172209, 'n': 20, 'trace_an': 0}
-
id: 60267507
{'hecke_orbit_code': 63050600975172209, 'n': 21, 'trace_an': 2}
-
id: 60267508
{'hecke_orbit_code': 63050600975172209, 'n': 22, 'trace_an': 0}
-
id: 60267509
{'hecke_orbit_code': 63050600975172209, 'n': 23, 'trace_an': 0}
-
id: 60267510
{'hecke_orbit_code': 63050600975172209, 'n': 24, 'trace_an': 40}
-
id: 60267511
{'hecke_orbit_code': 63050600975172209, 'n': 25, 'trace_an': 0}
-
id: 60267512
{'hecke_orbit_code': 63050600975172209, 'n': 26, 'trace_an': 12}
-
id: 60267513
{'hecke_orbit_code': 63050600975172209, 'n': 27, 'trace_an': 0}
-
id: 60267514
{'hecke_orbit_code': 63050600975172209, 'n': 28, 'trace_an': 0}
-
id: 60267515
{'hecke_orbit_code': 63050600975172209, 'n': 29, 'trace_an': -30}
-
id: 60267516
{'hecke_orbit_code': 63050600975172209, 'n': 30, 'trace_an': 0}
-
id: 60267517
{'hecke_orbit_code': 63050600975172209, 'n': 31, 'trace_an': 2}
-
id: 60267518
{'hecke_orbit_code': 63050600975172209, 'n': 32, 'trace_an': 0}
-
id: 60267519
{'hecke_orbit_code': 63050600975172209, 'n': 33, 'trace_an': 0}
-
id: 60267520
{'hecke_orbit_code': 63050600975172209, 'n': 34, 'trace_an': 24}
-
id: 60267521
{'hecke_orbit_code': 63050600975172209, 'n': 35, 'trace_an': 0}
-
id: 60267522
{'hecke_orbit_code': 63050600975172209, 'n': 36, 'trace_an': -34}
-
id: 60267523
{'hecke_orbit_code': 63050600975172209, 'n': 37, 'trace_an': 0}
-
id: 60267524
{'hecke_orbit_code': 63050600975172209, 'n': 38, 'trace_an': 0}
-
id: 60267525
{'hecke_orbit_code': 63050600975172209, 'n': 39, 'trace_an': -24}
-
id: 60267526
{'hecke_orbit_code': 63050600975172209, 'n': 40, 'trace_an': 0}
-
id: 60267527
{'hecke_orbit_code': 63050600975172209, 'n': 41, 'trace_an': -18}
-
id: 60267528
{'hecke_orbit_code': 63050600975172209, 'n': 42, 'trace_an': 0}
-
id: 60267529
{'hecke_orbit_code': 63050600975172209, 'n': 43, 'trace_an': 0}
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id: 60267530
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