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{'Nk2': 34496, 'analytic_conductor': 68.8629867031522, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [11, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -1, 1]], [5, [-2, 3, 1]], [13, [-16, -2, 1]], [17, [2, 1]]], 'hecke_orbit': 54, 'hecke_orbit_code': 238690780284199344, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8624.2.a.cb', 'level': 8624, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '88.2.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+(-2+\\beta )q^{5}+(1+\\beta )q^{9}+q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8624.2.a', 'trace_display': [0, 1, -3, 0], 'trace_hash': 976042042993729769, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.941', 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{'ALdims': [20, 32, 30, 21, 24, 24, 27, 27], 'Nk2': 34496, 'analytic_conductor': 68.8629867031522, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8624, 1, [5391, 6469, 7745, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 205, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33563056, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 10, 12], 'label': '8624.2.a', 'level': 8624, '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, 7, 11], 'level_radical': 154, 'mf_dim': 1392, 'mf_new_dim': 205, 'num_forms': 85, 'plus_dim': 92, 'prim_orbit_index': 1, 'relative_dim': 205, 'sturm_bound': 2688, 'trace_bound': 37, 'trace_display': [0, -2, -2, 0], 'traces': [205, 0, -2, 0, -2, 0, 0, 0, 205, 0, 3, 0, -2, 0, 2, 0, 2, 0, -12, 0, 0, 0, -6, 0, 207, 0, -14, 0, 6, 0, -18, 0, 0, 0, 0, 0, -10, 0, -16, 0, 2, 0, -16, 0, -2, 0, 28, 0, 0, 0, 12, 0, -2, 0, 4, 0, 8, 0, -22, 0, 6, 0, 0, 0, 28, 0, 14, 0, 24, 0, 6, 0, 2, 0, -72, 0, 0, 0, -36, 0, 213, 0, 32, 0, 4, 0, -40, 0, -2, 0, 0, 0, 24, 0, -48, 0, -10, 0, 9, 0, 22, 0, 36, 0, 0, 0, -32, 0, 6, 0, 14, 0, 30, 0, 30, 0, 14, 0, 0, 0, 205, 0, -8, 0, -36, 0, -8, 0, 8, 0, 0, 0, 0, 0, 14, 0, 30, 0, -40, 0, 56, 0, 10, 0, 36, 0, 0, 0, -42, 0, 84, 0, 58, 0, 54, 0, -10, 0, 44, 0, 0, 0, 204, 0, 0, 0, 32, 0, 219, 0, -28, 0, -10, 0, 0, 0, 68, 0, 38, 0, 38, 0, 240, 0, 64, 0, -6, 0, 0, 0, 6, 0, 2, 0, 48, 0, -114, 0, 20, 0, 4, 0, 0, 0, -76, 0, -92, 0, -4, 0, 140, 0, -32, 0, 44, 0, 0, 0, 0, 0, -116, 0, -10, 0, 251, 0, 0, 0, 14, 0, 0, 0, 10, 0, 16, 0, -64, 0, 4, 0, 2, 0, 56, 0, 0, 0, 120, 0, 24, 0, -46, 0, 8, 0, -92, 0, 42, 0, 0, 0, 14, 0, 76, 0, 84, 0, -118, 0, -74, 0, -24, 0, 0, 0, 15, 0, -34, 0, 24, 0, 50, 0, 44, 0, 104, 0, 0, 0, 295, 0, 198, 0, 6, 0, 134, 0, 12, 0, 96, 0, 0, 0, 92, 0, 36, 0, 4, 0, 40, 0, -4, 0, -26, 0, 0, 0, -34, 0, -10, 0, 0, 0, 160, 0, -22, 0, 140, 0, 0, 0, -38, 0, 14, 0, 30, 0, 34, 0, 126, 0, -16, 0, 0, 0, -52, 0, 4, 0, -18, 0, 40, 0, -18, 0, 2, 0, 0, 0, 0, 0, 233, 0, -2, 0, 36, 0, 134, 0, -30, 0, 0, 0, -58, 0, 134, 0, 116, 0, 58, 0, 40, 0, 38, 0, 0, 0, 68, 0, 6, 0, -92, 0, 16, 0, -36, 0, 22, 0, 0, 0, -6, 0, 128, 0, 94, 0, -16, 0, 34, 0, 38, 0, 0, 0, 36, 0, 0, 0, 16, 0, -98, 0, 4, 0, -2, 0, 0, 0, 16, 0, 140, 0, -34, 0, 168, 0, -8, 0, -168, 0, 0, 0, 14, 0, -84, 0, -60, 0, 94, 0, -18, 0, -32, 0, 0, 0, -70, 0, 84, 0, -74, 0, -10, 0, -4, 0, 10, 0, 0, 0, 74, 0, 4, 0, -116, 0, -98, 0, 216, 0, -68, 0, 0, 0, -172, 0, 26, 0, 64, 0, -4, 0, -148, 0, 26, 0, 0, 0, 4, 0, -40, 0, -20, 0, 4, 0, -86, 0, 94, 0, 0, 0, 24, 0, 8, 0, 0, 0, 84, 0, -42, 0, 76, 0, 0, 0, 60, 0, 257, 0, 60, 0, -20, 0, -180, 0, 20, 0, 0, 0, 78, 0, 286, 0, -68, 0, 116, 0, 14, 0, -40, 0, 0, 0, 378, 0, -146, 0, 104, 0, 24, 0, 12, 0, -36, 0, 0, 0, -6, 0, -164, 0, -96, 0, 184, 0, -42, 0, 112, 0, 0, 0, 10, 0, 148, 0, 128, 0, 40, 0, -84, 0, 130, 0, 0, 0, -152, 0, 32, 0, 26, 0, 48, 0, -2, 0, -164, 0, 0, 0, -152, 0, -98, 0, -48, 0, 2, 0, 54, 0, 88, 0, 0, 0, 297, 0, 32, 0, -60, 0, -62, 0, -48, 0, -112, 0, 0, 0, 348, 0, -26, 0, -110, 0, -80, 0, -86, 0, -8, 0, 0, 0, -50, 0, 60, 0, 50, 0, 96, 0, -66, 0, -80, 0, 0, 0, -64, 0, -48, 0, 18, 0, 58, 0, -384, 0, -26, 0, 0, 0, -96, 0, 228, 0, -172, 0, 6, 0, -12, 0, -110, 0, 0, 0, -12, 0, 116, 0, 72, 0, -130, 0, -40, 0, 56, 0, 0, 0, 78, 0, 104, 0, 76, 0, 36, 0, -64, 0, -2, 0, 0, 0, 192, 0, 42, 0, -186, 0, 289, 0, -96, 0, -90, 0, 0, 0, 16, 0, -616, 0, -48, 0, -280, 0, 68, 0, 204, 0, 0, 0, -258, 0, -68, 0, 116, 0, -98, 0, 54, 0, -158, 0, 0, 0, 108, 0, -176, 0, -70, 0, -172, 0, 62, 0, 4, 0, 0, 0, 136, 0, -16, 0, 168, 0, 96, 0, -180, 0, 184, 0, 0, 0, 36, 0, 204, 0, -66, 0, -168, 0, -118, 0, -50, 0, 0, 0, 108, 0, 178, 0, -24, 0, 120, 0, 256, 0, -64, 0, 0, 0, -34, 0, 18, 0, 36, 0, -132, 0, 158, 0, -92, 0, 0, 0, -360, 0, -8, 0, 22, 0, 171, 0, 252, 0, 66, 0, 0, 0, -80, 0, 42, 0, 46, 0, 96, 0, -70, 0, 90, 0, 0, 0, 200, 0, 268, 0, -70, 0, 0, 0, -216, 0, -78, 0, 0, 0, -2, 0, -48, 0, -42, 0, -92, 0, 96, 0, 76, 0, 0, 0, -5, 0, -96, 0, -114, 0, -88, 0, -16, 0, -4, 0, 0, 0, -80, 0, 84, 0, 70, 0, 112, 0, -20, 0, 304, 0, 0, 0, -28, 0, -184, 0, -48, 0, -190, 0, -148, 0, 90, 0, 0, 0, 8, 0, -64, 0, -30, 0, 618, 0, -42, 0, 176, 0, 0, 0, -234, 0, -52, 0, 146, 0, 10, 0, 314, 0, 40, 0, 0, 0, 249, 0, -84, 0, -84, 0, 152, 0, -48, 0, -82, 0, 0, 0, -64, 0, -114, 0, 16, 0, -242, 0, 310, 0, 108, 0, 0, 0, -144, 0, -256, 0, -124, 0, 56, 0, 38, 0, 138, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49065802
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284199344, 'target_is_minimal': False, 'target_label': '8624.2.a.cb.1.1', 'target_level': 8624, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49065803
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189375192, 'target_is_minimal': False, 'target_label': '4312.2.a.n.1.2', 'target_level': 4312, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49065804
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666096, 'target_is_minimal': False, 'target_label': '176.2.a.d.1.2', 'target_level': 176, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49065805
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595440, 'target_is_minimal': False, 'target_label': '1584.2.a.t.1.1', 'target_level': 1584, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 49065806
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925016, 'target_is_minimal': True, 'target_label': '88.2.a.b.1.1', 'target_level': 88, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065807
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.3', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49065808
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.2', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065809
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755749168, 'target_is_minimal': False, 'target_label': '4400.2.a.bp.1.1', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 49065810
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444112576, 'target_is_minimal': False, 'target_label': '704.2.a.p.1.1', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49065811
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001088, 'target_is_minimal': False, 'target_label': '704.2.a.m.1.2', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065812
{'conductor': 77, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698854800, 'target_is_minimal': False, 'target_label': '1936.2.a.r.1.2', 'target_level': 1936, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '77.76', 'twisting_conrey_index': 76, 'weight': 2}
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id: 49065813
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148696, 'target_is_minimal': False, 'target_label': '792.2.a.h.1.1', 'target_level': 792, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49065814
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.3', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '112.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49065815
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.3', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '112.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065816
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.2', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '112.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 49065817
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.2', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '112.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49065818
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.3', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '140.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065819
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.2', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '140.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49065820
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743576, 'target_is_minimal': False, 'target_label': '2200.2.a.o.1.2', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 49065821
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 324259173204236480, 'target_is_minimal': False, 'target_label': '6336.2.a.cu.1.2', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '168.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49065822
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 337769972086347968, 'target_is_minimal': False, 'target_label': '6336.2.a.cx.1.2', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '168.125', 'twisting_conrey_index': 125, 'weight': 2}
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id: 49065823
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.729.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 49065824
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.729.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49065825
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.753.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 49065826
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.81.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 49065827
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.9.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.195', 'twisting_conrey_index': 195, 'weight': 2}
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id: 49065828
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.9.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.223', 'twisting_conrey_index': 223, 'weight': 2}
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id: 49065829
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.81.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.251', 'twisting_conrey_index': 251, 'weight': 2}
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id: 49065830
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.753.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.279', 'twisting_conrey_index': 279, 'weight': 2}
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id: 49065831
{'conductor': 308, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889864, 'target_is_minimal': False, 'target_label': '968.2.a.j.1.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '308.307', 'twisting_conrey_index': 307, 'weight': 2}
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id: 49065832
{'conductor': 616, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402086976, 'target_is_minimal': False, 'target_label': '7744.2.a.by.1.2', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '616.307', 'twisting_conrey_index': 307, 'weight': 2}
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id: 49065833
{'conductor': 616, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 283726776557903424, 'target_is_minimal': False, 'target_label': '7744.2.a.cl.1.1', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '616.461', 'twisting_conrey_index': 461, 'weight': 2}
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id: 49065834
{'conductor': 924, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 238690780284199344, 'source_is_minimal': False, 'source_label': '8624.2.a.cb.1.1', 'source_level': 8624, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972566536, 'target_is_minimal': False, 'target_label': '8712.2.a.bb.1.1', 'target_level': 8712, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '924.923', 'twisting_conrey_index': 923, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4796400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 2}
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id: 4796401
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 3}
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id: 4796402
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 5}
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id: 4796403
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 7}
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id: 4796404
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 11}
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id: 4796405
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 13}
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id: 4796406
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 17}
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id: 4796407
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 19}
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id: 4796408
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 23}
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id: 4796409
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 29}
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id: 4796410
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 31}
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id: 4796411
{'charpoly_factorization': [[[26, 11, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 37}
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id: 4796412
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 41}
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id: 4796413
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 43}
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id: 4796414
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 238690780284199344, 'p': 47}
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id: 4796415
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 53}
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id: 4796416
{'charpoly_factorization': [[[-100, 5, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 59}
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id: 4796417
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 61}
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id: 4796418
{'charpoly_factorization': [[[52, 15, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 67}
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id: 4796419
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 71}
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id: 4796420
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 73}
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id: 4796421
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 79}
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id: 4796422
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 83}
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id: 4796423
{'charpoly_factorization': [[[-26, -7, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 89}
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id: 4796424
{'charpoly_factorization': [[[178, 27, 1], 1]], 'hecke_orbit_code': 238690780284199344, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 54, 'label': '8624.2.a.cb', 'level': 8624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71802151
{'hecke_orbit_code': 238690780284199344, 'n': 1, 'trace_an': 2}
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id: 71802152
{'hecke_orbit_code': 238690780284199344, 'n': 2, 'trace_an': 0}
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id: 71802153
{'hecke_orbit_code': 238690780284199344, 'n': 3, 'trace_an': 1}
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id: 71802154
{'hecke_orbit_code': 238690780284199344, 'n': 4, 'trace_an': 0}
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id: 71802155
{'hecke_orbit_code': 238690780284199344, 'n': 5, 'trace_an': -3}
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id: 71802156
{'hecke_orbit_code': 238690780284199344, 'n': 6, 'trace_an': 0}
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id: 71802157
{'hecke_orbit_code': 238690780284199344, 'n': 7, 'trace_an': 0}
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id: 71802158
{'hecke_orbit_code': 238690780284199344, 'n': 8, 'trace_an': 0}
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id: 71802159
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