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mf_newforms • Show schema
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{'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109], 'dim': 6, 'field_disc': -839056, 'field_disc_factorization': [[-1, 1], [2, 4], [229, 2]], 'field_poly': [1, 0, 8, 0, 6, 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': [[13, [-56, -16, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206191984760, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '120.2.d.a', 'level': 120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.d.a', 'nf_label': '6.0.839056.1', 'prim_orbit_index': 6, 'qexp_display': 'q+\\beta _{3}q^{2}+q^{3}+(-\\beta _{1}-\\beta _{2})q^{4}+(\\beta _{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '120.2.d', 'trace_display': [-1, 6, 0, 0], 'trace_hash': 1186208733299268590, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.545', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.656', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 480, 'analytic_conductor': 0.9582048242553646, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [2, 1, 2, 1]], 'conrey_index': 109, 'cusp_dim': 20, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [13], 'hecke_orbit_code': 206191984760, 'hecke_orbit_dims': [6, 6], 'label': '120.2.d', 'level': 120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 28, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 12, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 2, 0, -2, 0, 0, 12, -10, 0, 0, 0, -20, 0, 2, 0, 0, 0, -4, 0, 0, 0, -2, 4, -28, 0, 0, 0, 12, -32, 0, 0, 24, 0, 2, 0, 0, -16, 22, -8, 0, 0, 44, 0, -4, 0, 0, -12, 0, 0, 0, 0, -2, -16, 52, 0, 0, 0, -22, 0, 0, 0, -46, -24, 20, 0, 0, 0, 32, 32, 0, 0, 36, 0, 12, 0, 0, 32, -12, 12, 0, 0, -4, 0, 40, 0, 0, -40, -10, 0, 0, 0, -4, 64, -42, 0, 0, 0, -54, 0, 0, 0, -52, -8, 12, 0, 0, 0, -20, -32, 0, 0, -4, 0, -88, 0, 0, 32, 28, 4, 0, 0, -16, 0, -20, 0, 0, 0, -16, 0, 0, 0, -40, 0, -32, 0, 0, 0, 44, 0, 0, 0, 2, -8, -96, 0, 0, 0, 30, 64, 0, 0, -8, 0, 52, 0, 0, 48, -2, 16, 0, 0, 20, 0, -56, 0, 0, 36, 56, 0, 0, 0, 24, 48, 92, 0, 0, 0, -4, 0, 0, 0, 68, 24, 56, 0, 0, 0, 44, -96, 0, 0, 48, 0, 86, 0, 0, -96, -88, 0, 0, 0, -48, 0, 108, 0, 0, -16, -44, 0, 0, 0, 8, -128, -2, 0, 0, 0, 8, 0, 0, 0, 20, 4, 72, 0, 0, 0, -104, 48, 0, 0, -28, 0, -52, 0, 0, -96, 42, -8, 0, 0, 8, 0, -100, 0, 0, -32, -18, 0, 0, 0, 28, -32, -62, 0, 0, 0, 84, 0, 0, 0, 36, -64, -120, 0, 0, 0, 12, -128, 0, 0, -152, 0, 92, 0, 0, -32, 56, 88, 0, 0, -16, 0, -88, 0, 0, 60, 128, 0, 0, 0, 42, 0, 60, 0, 0, 0, -40, 0, 0, 0, 124, 96, 24, 0, 0, 0, -24, 32, 0, 0, 20, 0, 16, 0, 0, 128, -108, -48, 0, 0, 2, 0, 120, 0, 0, 112, -48, 0, 0, 0, 44, 128, -100, 0, 0, 0, 0, 0, 0, 0, -88, 16, 108, 0, 0, 0, -116, -16, 0, 0, -60, 0, -204, 0, 0, 64, 22, -12, 0, 0, -104, 0, -88, 0, 0, -8, -32, 0, 0, 0, 32, 48, -108, 0, 0, 0, 120, 0, 0, 0, 54, 0, -32, 0, 0, 0, 44, 192, 0, 0, -68, 0, 44, 0, 0, 112, -6, -40, 0, 0, 24, 0, -32, 0, 0, -152, 108, 0, 0, 0, -4, -48, 172, 0, 0, 0, -56, 0, 0, 0, -52, -80, 96, 0, 0, 0, 0, 64, 0, 0, 32, 0, 168, 0, 0, -64, -124, -12, 0, 0, -60, 0, 156, 0, 0, 24, 0, 0, 0, 0, 136, -160, -108, 0, 0, 0, -84, 0, 0, 0, -8, -40, 56, 0, 0, 0, -72, 64, 0, 0, -56, 0, -192, 0, 0, -160, 60, -128, 0, 0, -66, 0, -2, 0, 0, 16, -30, 0, 0, 0, -104, -16, -96, 0, 0, 0, 100, 0, 0, 0, 52, 168, -152, 0, 0, 0, 64, -32, 0, 0, 184, 0, 88, 0, 0, -160, 72, -168, 0, 0, 28, 0, -116, 0, 0, -92, 48, 0, 0, 0, 28, 0, 88, 0, 0, 0, -22, 0, 0, 0, 112, -80, 136, 0, 0, 0, 128, -64, 0, 0, 20, 0, 60, 0, 0, 96, -84, 48, 0, 0, 12, 0, 264, 0, 0, -104, -72, 0, 0, 0, 56, 160, -46, 0, 0, 0, 32, 0, 0, 0, -48, -24, 76, 0, 0, 0, -68, -80, 0, 0, 20, 0, -104, 0, 0, 256, 54, 40, 0, 0, 0, 0, -72, 0, 0, 80, -88, 0, 0, 0, -200, 80, -8, 0, 0, 0, 112, 0, 0, 0, 4, 44, -208, 0, 0, 0, 32, -32, 0, 0, -84, 0, 52, 0, 0, 32, 126, 88, 0, 0, 200, 0, -128, 0, 0, 224, 100, 0, 0, 0, 40, -128, 180, 0, 0, 0, -84, 0, 0, 0, -104, 80, 36, 0, 0, 0, 0, 160, 0, 0, 16, 0, -82, 0, 0, -128, 16, 32, 0, 0, 12, 0, 56, 0, 0, -16, -84, 0, 0, 0, -168, -128, -120, 0, 0, 0, -80, 0, 0, 0, -68, 64, 24, 0, 0, 0, -128, 32, 0, 0, 16, 0, -132, 0, 0, -256, -12, 256, 0, 0, -8, 0, -142, 0, 0, 12, -192, 0, 0, 0, -164, -128, -124, 0, 0, 0, 4, 0, 0, 0, 16, -120, -220, 0, 0, 0, 68, -32, 0, 0, -128, 0, -4, 0, 0, -176, 4, 24, 0, 0, 160, 0, 140, 0, 0, 72, 48, 0, 0, 0, 40, 112, 288, 0, 0, 0, -56, 0, 0, 0, -170, 24, 68, 0, 0, 0, 24, -96, 0, 0, 148, 0, 192, 0, 0, 32, -8, -40, 0, 0, -88, 0, 96, 0, 0, 152, -10, 0, 0, 0, 8, 96, -16, 0, 0, 0, -200, 0, 0, 0, -44, 80, 120, 0, 0, 0, -32, -64, 0, 0, -36, 0, -24, 0, 0, 448, 84, -84, 0, 0, 108, 0, -4, 0, 0, -128, 56, 0, 0, 0, -16, 64, 8, 0, 0, 0, 88, 0, 0, 0, -42, -16, -192, 0, 0, 0, 72, -96, 0, 0, 232, 0, 112, 0, 0, 160, 88, -232, 0, 0, 64, 0, -136, 0, 0, -128, 12, 0, 0, 0, 72, -32, 116, 0, 0, 0, -54, 0, 0, 0, 256, -16, 40, 0, 0, 0, 216, 192, 0, 0, 128, 0, -168, 0, 0, -256, -24, -16, 0, 0, 8, 0, 92, 0, 0, -8, -32, 0, 0, 0, 72, -128, -52, 0, 0, 0, -4, 0, 0, 0, -292, -8, 80, 0, 0, 0, 16, 16, 0, 0, 12, 0, -192, 0, 0, -288, 42, -84, 0, 0, 196, 0, -24, 0, 0, 32, 48, 0, 0, 0, 44, -176, -152, 0, 0, 0, 84, 0, 0, 0, -20, 16, 16, 0, 0, 0, -20, 32, 0, 0, -96, 0, 104, 0, 0, -32, 14], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 1787697
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 206191984760, 'target_is_minimal': True, 'target_label': '120.2.d.a.109.6', 'target_level': 120, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 1787698
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328837480, 'target_is_minimal': False, 'target_label': '360.2.d.f.109.1', 'target_level': 360, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1787699
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985120, 'target_is_minimal': False, 'target_label': '480.2.d.a.49.1', 'target_level': 480, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787700
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518685365174872, 'target_is_minimal': False, 'target_label': '600.2.k.f.301.4', 'target_level': 600, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 1787701
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 22518685365174872, 'target_is_minimal': False, 'target_label': '600.2.k.f.301.9', 'target_level': 600, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787702
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355256, 'target_is_minimal': True, 'target_label': '120.2.d.b.109.1', 'target_level': 120, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 1787703
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503805819355616, 'target_is_minimal': False, 'target_label': '480.2.d.b.49.6', 'target_level': 480, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787704
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805819355256, 'target_is_minimal': True, 'target_label': '120.2.d.b.109.2', 'target_level': 120, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 1787705
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014604701468064, 'target_is_minimal': False, 'target_label': '1440.2.d.e.1009.6', 'target_level': 1440, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787706
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 90072679775733512, 'target_is_minimal': False, 'target_label': '1800.2.k.u.901.9', 'target_level': 1800, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 1787707
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 90072679775733512, 'target_is_minimal': False, 'target_label': '1800.2.k.u.901.4', 'target_level': 1800, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 1787708
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014604701466984, 'target_is_minimal': False, 'target_label': '360.2.d.e.109.6', 'target_level': 360, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 1787709
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043539159387904, 'target_is_minimal': False, 'target_label': '3840.2.f.m.769.2', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787710
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 49539939532017408, 'target_is_minimal': False, 'target_label': '3840.2.f.l.769.5', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 1787711
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 54043539159387904, 'target_is_minimal': False, 'target_label': '3840.2.f.m.769.11', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787712
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 49539939532017408, 'target_is_minimal': False, 'target_label': '3840.2.f.l.769.8', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 1787713
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1201, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518685365176672, 'target_is_minimal': False, 'target_label': '2400.2.k.f.1201.3', 'target_level': 2400, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787714
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1201, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 22518685365176672, 'target_is_minimal': False, 'target_label': '2400.2.k.f.1201.10', 'target_level': 2400, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 1787715
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503805819355616, 'target_is_minimal': False, 'target_label': '480.2.d.b.49.5', 'target_level': 480, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1787716
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014604701466984, 'target_is_minimal': False, 'target_label': '360.2.d.e.109.5', 'target_level': 360, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 1787717
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838560, 'target_is_minimal': False, 'target_label': '1440.2.d.f.1009.1', 'target_level': 1440, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 1787718
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1201, 'target_dim': 12, 'target_embedding_index': 9, 'target_hecke_orbit_code': 22518685365176672, 'target_is_minimal': False, 'target_label': '2400.2.k.f.1201.9', 'target_level': 2400, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 1787719
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 22518685365174872, 'target_is_minimal': False, 'target_label': '600.2.k.f.301.10', 'target_level': 600, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 1787720
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 49, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191985120, 'target_is_minimal': False, 'target_label': '480.2.d.a.49.2', 'target_level': 480, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1787721
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1201, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518685365176672, 'target_is_minimal': False, 'target_label': '2400.2.k.f.1201.4', 'target_level': 2400, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 1787722
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 206191984760, 'target_is_minimal': True, 'target_label': '120.2.d.a.109.5', 'target_level': 120, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 1787723
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518685365174872, 'target_is_minimal': False, 'target_label': '600.2.k.f.301.3', 'target_level': 600, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 1787724
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 3601, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 90072679775738912, 'target_is_minimal': False, 'target_label': '7200.2.k.u.3601.5', 'target_level': 7200, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 1787725
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 3601, 'target_dim': 12, 'target_embedding_index': 7, 'target_hecke_orbit_code': 90072679775738912, 'target_is_minimal': False, 'target_label': '7200.2.k.u.3601.7', 'target_level': 7200, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 1787726
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328838560, 'target_is_minimal': False, 'target_label': '1440.2.d.f.1009.2', 'target_level': 1440, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 1787727
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 54043539159387904, 'target_is_minimal': False, 'target_label': '3840.2.f.m.769.8', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '80.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 1787728
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939532017408, 'target_is_minimal': False, 'target_label': '3840.2.f.l.769.2', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '80.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 1787729
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 54043539159387904, 'target_is_minimal': False, 'target_label': '3840.2.f.m.769.5', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 1787730
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 769, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 49539939532017408, 'target_is_minimal': False, 'target_label': '3840.2.f.l.769.11', 'target_level': 3840, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '80.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 1787731
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 109, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328837480, 'target_is_minimal': False, 'target_label': '360.2.d.f.109.2', 'target_level': 360, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 1787732
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90072679775733512, 'target_is_minimal': False, 'target_label': '1800.2.k.u.901.3', 'target_level': 1800, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 1787733
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014604701468064, 'target_is_minimal': False, 'target_label': '1440.2.d.e.1009.5', 'target_level': 1440, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 1787734
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 901, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 90072679775733512, 'target_is_minimal': False, 'target_label': '1800.2.k.u.901.10', 'target_level': 1800, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 1787735
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 3601, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 90072679775738912, 'target_is_minimal': False, 'target_label': '7200.2.k.u.3601.6', 'target_level': 7200, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 1787736
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 206191984760, 'source_is_minimal': True, 'source_label': '120.2.d.a.109.6', 'source_level': 120, 'target_conrey_index': 3601, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 90072679775738912, 'target_is_minimal': False, 'target_label': '7200.2.k.u.3601.8', 'target_level': 7200, 'twist_class_label': '120.2.d.a.109.5', 'twist_class_level': 120, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 339125
{'charpoly_factorization': [[[8, 4, 0, 0, 0, 1, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 2}
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id: 339126
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 206191984760, 'p': 3}
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id: 339127
{'charpoly_factorization': [[[125, 0, -5, -8, -1, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 5}
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id: 339128
{'charpoly_factorization': [[[64, 0, 128, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 7}
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id: 339129
{'charpoly_factorization': [[[64, 0, 96, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 11}
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id: 339130
{'charpoly_factorization': [[[-56, -16, 4, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 13}
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id: 339131
{'charpoly_factorization': [[[1024, 0, 368, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 17}
-
id: 339132
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 19}
-
id: 339133
{'charpoly_factorization': [[[16384, 0, 2304, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 23}
-
id: 339134
{'charpoly_factorization': [[[12544, 0, 3120, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 29}
-
id: 339135
{'charpoly_factorization': [[[-64, -4, 8, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 31}
-
id: 339136
{'charpoly_factorization': [[[-8, 0, 8, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 37}
-
id: 339137
{'charpoly_factorization': [[[56, -100, 2, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 41}
-
id: 339138
{'charpoly_factorization': [[[64, -64, 0, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 43}
-
id: 339139
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 47}
-
id: 339140
{'charpoly_factorization': [[[8, 32, -12, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 53}
-
id: 339141
{'charpoly_factorization': [[[179776, 0, 9888, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 59}
-
id: 339142
{'charpoly_factorization': [[[65536, 0, 7168, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 61}
-
id: 339143
{'charpoly_factorization': [[[-64, -64, 0, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 67}
-
id: 339144
{'charpoly_factorization': [[[128, -80, -8, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 71}
-
id: 339145
{'charpoly_factorization': [[[16384, 0, 34560, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 73}
-
id: 339146
{'charpoly_factorization': [[[64, -4, -8, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 79}
-
id: 339147
{'charpoly_factorization': [[[-448, -64, 8, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 83}
-
id: 339148
{'charpoly_factorization': [[[-1384, -164, 10, 1], 2]], 'hecke_orbit_code': 206191984760, 'p': 89}
-
id: 339149
{'charpoly_factorization': [[[262144, 0, 28416, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 206191984760, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 1, 'label': '120.2.d.a', 'level': 120, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 25340000
{'hecke_orbit_code': 206191984760, 'n': 1, 'trace_an': 6}
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id: 25340001
{'hecke_orbit_code': 206191984760, 'n': 2, 'trace_an': -1}
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id: 25340002
{'hecke_orbit_code': 206191984760, 'n': 3, 'trace_an': 6}
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id: 25340003
{'hecke_orbit_code': 206191984760, 'n': 4, 'trace_an': 1}
-
id: 25340004
{'hecke_orbit_code': 206191984760, 'n': 5, 'trace_an': 0}
-
id: 25340005
{'hecke_orbit_code': 206191984760, 'n': 6, 'trace_an': -1}
-
id: 25340006
{'hecke_orbit_code': 206191984760, 'n': 7, 'trace_an': 0}
-
id: 25340007
{'hecke_orbit_code': 206191984760, 'n': 8, 'trace_an': -1}
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id: 25340008
{'hecke_orbit_code': 206191984760, 'n': 9, 'trace_an': 6}
-
id: 25340009
{'hecke_orbit_code': 206191984760, 'n': 10, 'trace_an': 1}
-
id: 25340010
{'hecke_orbit_code': 206191984760, 'n': 11, 'trace_an': 0}
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id: 25340011
{'hecke_orbit_code': 206191984760, 'n': 12, 'trace_an': 1}
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id: 25340012
{'hecke_orbit_code': 206191984760, 'n': 13, 'trace_an': -8}
-
id: 25340013
{'hecke_orbit_code': 206191984760, 'n': 14, 'trace_an': -10}
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id: 25340014
{'hecke_orbit_code': 206191984760, 'n': 15, 'trace_an': 0}
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id: 25340015
{'hecke_orbit_code': 206191984760, 'n': 16, 'trace_an': 1}
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id: 25340016
{'hecke_orbit_code': 206191984760, 'n': 17, 'trace_an': 0}
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id: 25340017
{'hecke_orbit_code': 206191984760, 'n': 18, 'trace_an': -1}
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id: 25340018
{'hecke_orbit_code': 206191984760, 'n': 19, 'trace_an': 0}
-
id: 25340019
{'hecke_orbit_code': 206191984760, 'n': 20, 'trace_an': -13}
-
id: 25340020
{'hecke_orbit_code': 206191984760, 'n': 21, 'trace_an': 0}
-
id: 25340021
{'hecke_orbit_code': 206191984760, 'n': 22, 'trace_an': 10}
-
id: 25340022
{'hecke_orbit_code': 206191984760, 'n': 23, 'trace_an': 0}
-
id: 25340023
{'hecke_orbit_code': 206191984760, 'n': 24, 'trace_an': -1}
-
id: 25340024
{'hecke_orbit_code': 206191984760, 'n': 25, 'trace_an': 2}
-
id: 25340025
{'hecke_orbit_code': 206191984760, 'n': 26, 'trace_an': -14}
-
id: 25340026
{'hecke_orbit_code': 206191984760, 'n': 27, 'trace_an': 6}
-
id: 25340027
{'hecke_orbit_code': 206191984760, 'n': 28, 'trace_an': -2}
-
id: 25340028
{'hecke_orbit_code': 206191984760, 'n': 29, 'trace_an': 0}
-
id: 25340029
{'hecke_orbit_code': 206191984760, 'n': 30, 'trace_an': 1}
-
id: 25340030
{'hecke_orbit_code': 206191984760, 'n': 31, 'trace_an': -16}
-
id: 25340031
{'hecke_orbit_code': 206191984760, 'n': 32, 'trace_an': -21}
-
id: 25340032
{'hecke_orbit_code': 206191984760, 'n': 33, 'trace_an': 0}
-
id: 25340033
{'hecke_orbit_code': 206191984760, 'n': 34, 'trace_an': 12}
-
id: 25340034
{'hecke_orbit_code': 206191984760, 'n': 35, 'trace_an': -4}
-
id: 25340035
{'hecke_orbit_code': 206191984760, 'n': 36, 'trace_an': 1}
-
id: 25340036
{'hecke_orbit_code': 206191984760, 'n': 37, 'trace_an': -16}
-
id: 25340037
{'hecke_orbit_code': 206191984760, 'n': 38, 'trace_an': -2}
-
id: 25340038
{'hecke_orbit_code': 206191984760, 'n': 39, 'trace_an': -8}
-
id: 25340039
{'hecke_orbit_code': 206191984760, 'n': 40, 'trace_an': 25}
-
id: 25340040
{'hecke_orbit_code': 206191984760, 'n': 41, 'trace_an': -4}
-
id: 25340041
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