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mf_newforms • Show schema
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{'Nk2': 10584, 'analytic_conductor': 21.12841637483079, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [2646, 3, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1549, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 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': [[5, [25, 10, 9, -2, 1]], [11, [4, -2, 1]], [13, [576, 0, 24, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812539478, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 8, 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': False, 'label': '2646.2.e.l', 'level': 2646, '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': '126.2.f.c', 'nf_label': '4.0.576.1', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}+q^{4}+(\\beta _{1}-\\beta _{2})q^{5}-q^{8}+(-\\beta _{1}+\\cdots)q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2646.2.e', 'trace_display': [-4, 0, 2, 0], 'trace_hash': 1930182893438597204, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.835', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.141', 'prec': 20}, {'__RealLiteral__': 0, 'data': '10.587', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1189.176', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [4, -4, 0, 4, 2, 0, 0, -4, 0, -2, 4, 0, 0, 0, 0, 4, 4, 0, -10, 2, 0, -4, -2, 0, -4, 0, 0, 0, -4, 0, 24, -4, 0, -4, 0, 0, -4, 10, 0, -2, 0, 0, -4, 4, 0, 2, 0, 0, 0, 4, 0, 0, -12, 0, 8, 0, 0, 4, 8, 0, 36, -24, 0, 4, 48, 0, -32, 4, 0, 0, -20, 0, 4, 4, 0, -10, 0, 0, 12, 2, 0, 0, 4, 0, -4, 4, 0, -4, -24, 0, 0, -2, 0, 0, -44, 0, 4, 0, 0, -4, -10, 0, -28, 0, 0, 12, -24, 0, 4, -8, 0, 0, -22, 0, 2, -4, 0, -8, 0, 0, 14, -36, 0, 24, -36, 0, -12, -4, 0, -48, -22, 0, 0, 32, 0, -4, -4, 0, -14, 0, 0, 20, 0, 0, -20, -4, 0, -4, -12, 0, 10, 10, 0, 0, 12, 0, -4, -12, 0, -2, 0, 0, 20, 0, 0, -4, 8, 0, -22, 4, 0, -4, 32, 0, 0, 4, 0, 24, 12, 0, -12, 0, 0, 2, 88, 0, 16, 0, 0, 44, -36, 0, -52, -4, 0, 0, -8, 0, -4, 4, 0, 10, 0, 0, -96, 28, 0, 0, 20, 0, -16, -12, 0, 24, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 10584, 'analytic_conductor': 21.12841637483079, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [2646, 3, [785, 1081], [1, 1]], 'conrey_index': 1549, 'cusp_dim': 912, 'dim': 80, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 274911464022, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8], 'label': '2646.2.e', 'level': 2646, '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': 1104, 'mf_new_dim': 80, 'num_forms': 20, 'prim_orbit_index': 8, 'relative_dim': 40, 'sturm_bound': 1008, 'trace_bound': 13, 'trace_display': [0, 0, -4, 0], 'traces': [80, 0, 0, 80, -4, 0, 0, 0, 0, 0, 8, 0, -2, 0, 0, 80, -14, 0, 4, -4, 0, 0, 2, 0, -40, -16, 0, 0, -18, 0, 4, 0, 0, 0, 0, 0, -2, -12, 0, 0, -6, 0, -2, 8, 0, 6, 12, 0, 0, 0, 0, -2, 32, 0, 12, 0, 0, -6, 44, 0, 16, 44, 0, 80, -4, 0, 28, -14, 0, 0, 76, 0, 28, -6, 0, 4, 0, 0, 64, -4, 0, 0, 16, 0, -24, 20, 0, 0, -36, 0, 0, 2, 0, 24, -84, 0, -2, 0, 0, -40, -40, 0, -2, -16, 0, 0, -14, 0, -20, 76, 0, 0, -64, 0, 0, -18, 0, 12, 0, 0, -64, 8, 0, 4, -24, 0, 52, 0, 0, 48, -34, 0, 0, 72, 0, 0, -50, 0, 16, 0, 0, 48, 18, 0, -30, -44, 0, -2, 32, 0, -62, -12, 0, 0, 64, 0, -32, 68, 0, 0, 0, 0, 16, -6, 0, 6, 38, 0, -66, 50, 0, -2, 44, 0, 0, 8, 0, 12, 120, 0, -68, 0, 0, 6, 40, 0, -36, 12, 0, 0, 80, 0, -56, -56, 0, 0, 44, 0, -50, 0, 0, -24, 0, 0, -96, -24, 0, -2, 26, 0, -38, 32, 0, 30, 16, 0, 0, 4, 0, 12, -144, 0, 16, 0, 0, -24, 6, 0, 4, -62, 0, -6, -20, 0, -6, 44, 0, 0, -96, 0, -32, -112, 0, 16, 0, 0, -40, 44, 0, -60, -84, 0, -72, 80, 0, 80, 0, 0, 0, -4, 0, 0, 28, 0, 30, 0, 0, 28, -40, 0, -14, -14, 0, 12, 20, 0, 16, -50, 0, 0, -104, 0, 76, 76, 0, 0, 0, 0, -22, -16, 0, 28, 54, 0, 6, -6, 0, 6, 12, 0, 0, 38, 0, 4, 102, 0, 148, 0, 0, 18, -112, 0, 16, 156, 0, 64, -224, 0, 60, -4, 0, 0, 268, 0, 16, 102, 0, 0, 0, 0, 160, 16, 0, 24, 74, 0, -32, 44, 0, -24, -6, 0, 0, 20, 0, -84, -36, 0, -20, 0, 0, 0, -12, 0, 18, -36, 0, 42, 30, 0, -108, 80, 0, 0, -12, 0, 76, 2, 0, -48, 0, 0, -14, 80, 0, 24, -48, 0, 28, -84, 0, 0, 70, 0, 0, -144, 0, -2, -10, 0, -84, 0, 0, -96, 30, 0, 100, -72, 0, -40, -138, 0, -28, -40, 0, 0, -68, 0, 76, 200, 0, -2, 0, 0, -102, -16, 0, -60, 42, 0, -116, 130, 0, 0, -112, 0, 0, -14, 0, -72, -184, 0, -44, 0, 0, -20, 80, 0, 64, 76, 0, -108, -28, 0, -12, -60, 0, 0, -612, 0, 78, -64, 0, 66, 0, 0, 196, -38, 0, 0, -10, 0, -86, -18, 0, -12, 62, 0, 0, -6, 0, 12, -456, 0, -2, 0, 0, 48, 70, 0, -34, -72, 0, -64, -340, 0, -170, 8, 0, 0, -36, 0, -12, -88, 0, 4, 0, 0, -62, -24, 0, 84, -240, 0, 72, -76, 0, 52, 30, 0, 0, 0, 0, 12, -14, 0, -18, 0, 0, 48, -60, 0, -56, -34, 0, -60, -48, 0, -112, -24, 0, 0, 12, 0, -264, 72, 0, -18, 0, 0, -92, 20, 0, 0, 38, 0, -56, -50, 0, -18, -164, 0, 0, 88, 0, 16, 114, 0, -244, 0, 0, 24, -128, 0, 12, 184, 0, 48, -140, 0, 124, 18, 0, 0, 240, 0, -140, -88, 0, -30, 0, 0, -96, -44, 0, -54, 52, 0, -88, 12, 0, -2, 84, 0, 0, 32, 0, 12, 56, 0, 40, 0, 0, -62, 4, 0, -26, -12, 0, -48, 374, 0, -50, 64, 0, 0, 72, 0, -74, 64, 0, 0, 0, 0, -112, -8, 0, -32, -64, 0, 4, 68, 0, -84, 90, 0, 0, -192, 0, 0, 226, 0, 64, 0, 0, 48, 126, 0, -6, -82, 0, 16, -188, 0, -24, -6, 0, 0, -22, 0, 64, 272, 0, 6, 0, 0, 6, 38, 0, 54, 90, 0, -8, -36, 0, -66, -132, 0, 0, 50, 0, 96, -40, 0, 204, 0, 0, -2, 48, 0, -164, 44, 0, 216, 460, 0, 132, -14, 0, 0, 176, 0, 14, 8, 0, 0, 0, 0, -200, 22, 0, 12, 78, 0, 174, 120, 0, -6, 120, 0, 0, -56, 0, -68, 476, 0, -74, 0, 0, 18, 98, 0, -26, -96, 0, 6, -224, 0, 172, 40, 0, 0, 484, 0, 96, -104, 0, -36, 0, 0, 112, 12, 0, 96, -256, 0, 88, -36, 0, 0, 58, 0, 0, 80, 0, -36, 272, 0, 4, 0, 0, -56, 44, 0, 58, -56, 0, 36, -152, 0, 120, 14, 0, 0, -48, 0, 136, 44, 0, 24, 0, 0, -166, -34, 0, -50, 24, 0, 72, 0, 0, 12, -176, 0, 0, 78, 0, -24, -166, 0, 52, 0, 0, -48, -332, 0, 32, 96, 0, -96, 280, 0, 52, -24, 0, 0, -228, 0, 100, -272, 0, -2, 0, 0, 372, 26, 0, 12, 160, 0, 8, -82, 0, -38, 160, 0, 0, 32, 0, 192, 200, 0, 118, 0, 0, 30, 18, 0, 64, 16, 0, -24, 194, 0, 78, 72, 0, 0, -114, 0, -52, 4, 0, 96, 0, 0, -146, -40, 0, 12, 60, 0, -80, -144, 0, -72, 186, 0, 0, -132, 0, 16, 102, 0, -54, 0, 0, -192, 90, 0, -72, -42, 0, -24, 364, 0, 16, 6, 0, 0, -176, 0, -204, -536, 0, 4, 0, 0, 118, -62, 0, 24, 168, 0, -80, 14, 0, -6, -168, 0, 0, -20, 0, 6, 260, 0, -32, 0, 0, -6, 56, 0, -72, 44, 0, -240, 112, 0, -292, -26, 0, 0, 64, 0, -168, -96, 0, -60, 0, 0, -144, 52, 0, -32, 46, 0, -188, -112, 0, 42, 18, 0, 0, 204, 0, 16, 172, 0, -96, 0, 0, 0, 150, 0, 150, -74, 0, -40, -104, 0, -122, 44, 0, 0, -314, 0, -92, -26, 0, -60], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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-
id: 47399988
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 2125, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539870812539478, 'target_is_minimal': False, 'target_label': '2646.2.e.l.2125.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47399989
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 655, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908210, 'target_is_minimal': False, 'target_label': '882.2.e.m.655.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47399990
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043676598340182, 'target_is_minimal': False, 'target_label': '2646.2.h.m.667.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47399991
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 883, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036339904645718, 'target_is_minimal': False, 'target_label': '2646.2.f.k.883.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47399992
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513049978, 'target_is_minimal': False, 'target_label': '378.2.f.d.127.2', 'target_level': 378, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47399993
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 667, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547276225710678, 'target_is_minimal': False, 'target_label': '2646.2.h.n.667.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47399994
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 2125, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185168982, 'target_is_minimal': False, 'target_label': '2646.2.e.k.2125.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47399995
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043676598340182, 'target_is_minimal': False, 'target_label': '2646.2.h.m.361.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47399996
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036477343597426, 'target_is_minimal': False, 'target_label': '882.2.h.k.67.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 47399997
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036477343597426, 'target_is_minimal': False, 'target_label': '882.2.h.k.79.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47399998
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 79, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540076970967922, 'target_is_minimal': False, 'target_label': '882.2.h.l.79.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 47399999
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007542885679230, 'target_is_minimal': True, 'target_label': '126.2.f.c.43.1', 'target_level': 126, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47400000
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532740277273458, 'target_is_minimal': False, 'target_label': '882.2.f.j.295.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
-
id: 47400001
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 655, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278706, 'target_is_minimal': False, 'target_label': '882.2.e.n.655.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47400002
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 2017, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774143952, 'target_is_minimal': False, 'target_label': '3024.2.r.e.2017.2', 'target_level': 3024, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47400003
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 253, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513049978, 'target_is_minimal': False, 'target_label': '378.2.f.d.253.2', 'target_level': 378, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 47400004
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278706, 'target_is_minimal': False, 'target_label': '882.2.e.n.373.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 47400005
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113006, 'target_is_minimal': False, 'target_label': '1134.2.a.p.1.2', 'target_level': 1134, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47400006
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547276225710678, 'target_is_minimal': False, 'target_label': '2646.2.h.n.361.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
-
id: 47400007
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908210, 'target_is_minimal': False, 'target_label': '882.2.e.m.373.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 47400008
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519534, 'target_is_minimal': False, 'target_label': '1134.2.a.i.1.1', 'target_level': 1134, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
-
id: 47400009
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1765, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036339904645718, 'target_is_minimal': False, 'target_label': '2646.2.f.k.1765.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
-
id: 47400010
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 85, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542885679230, 'target_is_minimal': True, 'target_label': '126.2.f.c.85.2', 'target_level': 126, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
-
id: 47400011
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501011714, 'target_is_minimal': False, 'target_label': '7938.2.a.bn.1.1', 'target_level': 7938, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.38', 'twisting_conrey_index': 38, 'weight': 2}
-
id: 47400012
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1549, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185168982, 'target_is_minimal': False, 'target_label': '2646.2.e.k.1549.1', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
-
id: 47400013
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49540076970967922, 'target_is_minimal': False, 'target_label': '882.2.h.l.67.2', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
-
id: 47400014
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873641218, 'target_is_minimal': False, 'target_label': '7938.2.a.bm.1.2', 'target_level': 7938, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.52', 'twisting_conrey_index': 52, 'weight': 2}
-
id: 47400015
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1549, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539870812539478, 'target_is_minimal': False, 'target_label': '2646.2.e.l.1549.2', 'target_level': 2646, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
-
id: 47400016
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532740277273458, 'target_is_minimal': False, 'target_label': '882.2.f.j.589.1', 'target_level': 882, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 47400017
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 673, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774141936, 'target_is_minimal': False, 'target_label': '1008.2.r.e.673.2', 'target_level': 1008, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47400018
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618901360, 'target_is_minimal': False, 'target_label': '9072.2.a.bk.1.2', 'target_level': 9072, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '252.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47400019
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1009, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015566774143952, 'target_is_minimal': False, 'target_label': '3024.2.r.e.1009.2', 'target_level': 3024, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 47400020
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015566774141936, 'target_is_minimal': False, 'target_label': '1008.2.r.e.337.1', 'target_level': 1008, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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id: 47400021
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2125, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812539478, 'source_is_minimal': False, 'source_label': '2646.2.e.l.2125.2', 'source_level': 2646, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227307888, 'target_is_minimal': False, 'target_label': '9072.2.a.bd.1.1', 'target_level': 9072, 'twist_class_label': '126.2.f.c.43.1', 'twist_class_level': 126, 'twisting_char_label': '252.151', 'twisting_conrey_index': 151, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2774475
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49539870812539478, 'p': 2}
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id: 2774476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539870812539478, 'p': 3}
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id: 2774477
{'charpoly_factorization': [[[25, 10, 9, -2, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 5}
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id: 2774478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539870812539478, 'p': 7}
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id: 2774479
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 11}
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id: 2774480
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 13}
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id: 2774481
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 17}
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id: 2774482
{'charpoly_factorization': [[[361, 190, 81, 10, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 19}
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id: 2774483
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 23}
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id: 2774484
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 29}
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id: 2774485
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 49539870812539478, 'p': 31}
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id: 2774486
{'charpoly_factorization': [[[8464, -368, 108, 4, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 37}
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id: 2774487
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 41}
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id: 2774488
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 43}
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id: 2774489
{'charpoly_factorization': [[[-96, 0, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 47}
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id: 2774490
{'charpoly_factorization': [[[144, 144, 132, 12, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 53}
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id: 2774491
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 49539870812539478, 'p': 59}
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id: 2774492
{'charpoly_factorization': [[[75, -18, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 61}
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id: 2774493
{'charpoly_factorization': [[[40, 16, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 67}
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id: 2774494
{'charpoly_factorization': [[[1, 10, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 71}
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id: 2774495
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 73}
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id: 2774496
{'charpoly_factorization': [[[-15, -6, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 79}
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id: 2774497
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 49539870812539478, 'p': 83}
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id: 2774498
{'charpoly_factorization': [[[14400, 2880, 456, 24, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 89}
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id: 2774499
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 49539870812539478, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '2646.2.e.l', 'level': 2646, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 56886397
{'hecke_orbit_code': 49539870812539478, 'n': 1, 'trace_an': 4}
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id: 56886398
{'hecke_orbit_code': 49539870812539478, 'n': 2, 'trace_an': -4}
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id: 56886399
{'hecke_orbit_code': 49539870812539478, 'n': 3, 'trace_an': 0}
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id: 56886400
{'hecke_orbit_code': 49539870812539478, 'n': 4, 'trace_an': 4}
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id: 56886401
{'hecke_orbit_code': 49539870812539478, 'n': 5, 'trace_an': 2}
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id: 56886402
{'hecke_orbit_code': 49539870812539478, 'n': 6, 'trace_an': 0}
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id: 56886403
{'hecke_orbit_code': 49539870812539478, 'n': 7, 'trace_an': 0}
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id: 56886404
{'hecke_orbit_code': 49539870812539478, 'n': 8, 'trace_an': -4}
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id: 56886405
{'hecke_orbit_code': 49539870812539478, 'n': 9, 'trace_an': 0}
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id: 56886406
{'hecke_orbit_code': 49539870812539478, 'n': 10, 'trace_an': -2}
-
id: 56886407
{'hecke_orbit_code': 49539870812539478, 'n': 11, 'trace_an': 4}
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id: 56886408
{'hecke_orbit_code': 49539870812539478, 'n': 12, 'trace_an': 0}
-
id: 56886409
{'hecke_orbit_code': 49539870812539478, 'n': 13, 'trace_an': 0}
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id: 56886410
{'hecke_orbit_code': 49539870812539478, 'n': 14, 'trace_an': 0}
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id: 56886411
{'hecke_orbit_code': 49539870812539478, 'n': 15, 'trace_an': 0}
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id: 56886412
{'hecke_orbit_code': 49539870812539478, 'n': 16, 'trace_an': 4}
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id: 56886413
{'hecke_orbit_code': 49539870812539478, 'n': 17, 'trace_an': 4}
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id: 56886414
{'hecke_orbit_code': 49539870812539478, 'n': 18, 'trace_an': 0}
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id: 56886415
{'hecke_orbit_code': 49539870812539478, 'n': 19, 'trace_an': -10}
-
id: 56886416
{'hecke_orbit_code': 49539870812539478, 'n': 20, 'trace_an': 2}
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id: 56886417
{'hecke_orbit_code': 49539870812539478, 'n': 21, 'trace_an': 0}
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id: 56886418
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