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mf_newforms • Show schema
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{'Nk2': 648, 'analytic_conductor': 1.2935765127447423, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [162, 9, [83], [8]], 'cm_discs': [], 'conrey_index': 19, 'dim': 12, 'field_disc': 40419192196881, 'field_disc_factorization': [[3, 18], [17, 2], [19, 2]], 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 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, [5184, 7776, 2592, 3672, 3564, -5184, 1053, 27, 162, -24, 9, -3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832034, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 27, 'hecke_ring_index_factorization': [[3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 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mf_hecke_cc • Show schema
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-0.25670131791561374, -0.45529044714555655, 0.10861059505229977, -0.4597738452569388, -0.3390990751324401], 'char_orbit_index': 5, 'conrey_index': 145, 'dual_conrey_index': 19, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 11, 'embedding_root_imag': 0.6779802818755691, 'embedding_root_real': 0.5, 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832034, 'label': '162.2.e.b.145.1', 'level': 162, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 648, 'analytic_conductor': 1.2935765127447423, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [162, 9, [83], [8]], 'conrey_index': 19, 'cusp_dim': 126, 'dim': 18, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461538, 'hecke_orbit_dims': [6, 12], 'label': '162.2.e', 'level': 162, '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], 'level_radical': 6, 'mf_dim': 198, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 3, 'sturm_bound': 54, 'trace_bound': 1, 'trace_display': [0, 0, 6, 0], 'traces': [18, 0, 0, 0, 6, 0, 0, 3, 0, 0, 15, 0, 0, 6, 0, 0, 12, 0, 0, -12, 0, -9, -24, 0, -18, -36, 0, 0, -30, 0, -18, 0, 0, -9, -6, 0, 0, 12, 0, 0, 15, 0, -9, 6, 0, 0, 0, 0, -18, 36, 0, 0, 24, 0, 0, 6, 0, 0, -6, 0, -18, 24, 0, -9, -6, 0, 27, 12, 0, 36, -24, 0, -18, -30, 0, 18, -42, 0, 72, -12, 0, 0, 0, 0, 72, -27, 0, 18, 3, 0, -18, -6, 0, 36, -6, 0, 27, 15, 0, -9, 102, 0, -18, 12, 0, 0, 60, 0, 0, 72, 0, 0, 36, 0, -36, 6, 0, 0, -30, 0, -45, -36, 0, -18, -24, 0, 0, 0, 0, -36, 24, 0, -54, -48, 0, 0, -21, 0, -36, -42, 0, -36, -78, 0, 0, -45, 0, -18, -60, 0, 36, 18, 0, 0, -42, 0, 54, 48, 0, 0, 24, 0, -54, 15, 0, -18, 18, 0, 36, 0, 0, 0, -18, 0, 18, -21, 0, -36, -57, 0, 0, -18, 0, -18, -60, 0, -36, 36, 0, 0, -6, 0, -63, -51, 0, -18, 12, 0, 0, -36, 0, -36, 102, 0, -72, 24, 0, 0, 30, 0, -36, 6, 0, 0, 84, 0, 36, 36, 0, 36, 114, 0, 108, 12, 0, 27, 117, 0, 90, -36, 0, 0, 6, 0, 54, -33, 0, 108, 108, 0, 81, 30, 0, 36, -72, 0, 72, 36, 0, 108, 6, 0, 54, 36, 0, 0, -45, 0, 54, -6, 0, 27, -78, 0, 36, 0, 0, 27, -156, 0, 36, 12, 0, -18, -39, 0, -108, 12, 0, 0, -102, 0, -108, 12, 0, -54, -24, 0, -9, 0, 0, -9, -24, 0, -90, -60, 0, 0, 24, 0, -72, 0, 0, -9, 48, 0, -18, 66, 0, -54, 6, 0, -36, 42, 0, 0, 48, 0, -18, -12, 0, -72, -30, 0, 0, -66, 0, -9, 72, 0, 0, -27, 0, 0, 84, 0, -72, 84, 0, -36, 102, 0, -18, 45, 0, -54, -135, 0, -72, 48, 0, 0, -66, 0, -90, -6, 0, -54, -54, 0, -9, -30, 0, -36, 12, 0, -108, -6, 0, 0, -42, 0, -18, -99, 0, 36, -60, 0, -108, -6, 0, 72, -264, 0, 72, -12, 0, 0, -24, 0, 90, -48, 0, 144, 12, 0, 0, 12, 0, 36, -21, 0, 126, -24, 0, -108, 66, 0, 135, 72, 0, 36, 24, 0, 0, 12, 0, 135, 126, 0, 90, -81, 0, 0, 39, 0, 126, 33, 0, 54, 84, 0, -108, -96, 0, 0, 24, 0, 36, 18, 0, 0, 90, 0, -36, 36, 0, 0, 72, 0, 27, 18, 0, -63, 78, 0, 27, 24, 0, 0, 168, 0, 36, 24, 0, -63, 132, 0, 54, 18, 0, -9, -42, 0, -18, -66, 0, 0, -54, 0, -18, -30, 0, -45, -96, 0, 108, -36, 0, -126, -15, 0, -36, -12, 0, 0, -48, 0, 0, 48, 0, -63, -54, 0, 54, 54, 0, -36, 132, 0, -18, -6, 0, 0, -24, 0, 0, 42, 0, -36, 102, 0, 9, -12, 0, 18, -66, 0, 36, -36, 0, -18, 12, 0, 36, -18, 0, 36, 0, 0, 0, -18, 0, -9, -132, 0, 27, -30, 0, -54, -114, 0, 54, 72, 0, 99, 66, 0, -126, 48, 0, 144, 36, 0, 162, 6, 0, 0, -15, 0, 153, 12, 0, 126, -96, 0, -126, 27, 0, 90, -198, 0, 36, 24, 0, -54, -78, 0, 0, -108, 0, -18, 30, 0, 0, -60, 0, 54, -6, 0, 36, -66, 0, -18, -102, 0, -90, 21, 0, 0, 54, 0, -18, 27, 0, -36, 60, 0, -153, 120, 0, 0, 168, 0, -108, 114, 0, -54, -66, 0, 0, -42, 0, -126, 30, 0, -180, -72, 0, 0, -21, 0, -189, -66, 0, -117, 144, 0, -54, -60, 0, -72, 66, 0, -234, 6, 0, 0, 12, 0, -126, -132, 0, -18, 6, 0, 0, -18, 0, -108, 48, 0, -126, 120, 0, 18, 138, 0, -144, 54, 0, -18, -126, 0, 54, 24, 0, 18, 12, 0, -36, -18, 0, 54, -114, 0, -36, 60, 0, 18, -300, 0, 252, -21, 0, 81, -84, 0, 0, -72, 0, 27, 6, 0, 72, -30, 0, 90, -72, 0, 108, 39, 0, 18, 78, 0, 0, 12, 0, 216, -93, 0, 0, 54, 0, 36, 138, 0, 108, 66, 0, 90, -36, 0, 126, 0, 0, 27, 138, 0, 0, 0, 0, 72, -60, 0, 252, -57, 0, 72, 0, 0, 54, -42, 0, 54, -66, 0, 198, 0, 0, -36, -90, 0, 0, 30, 0, -18, 39, 0, 72, 144, 0, 18, 138, 0, -18, -24, 0, -144, 0, 0, -108, 36, 0, -72, -126, 0, 0, 21, 0, 0, -267, 0, -72, 6, 0, -36, 48, 0, 0, 102, 0, -144, 102, 0, 45, 12, 0, 0, 48, 0, 0, 0, 0, -162, 120, 0, -108, 90, 0, 0, 27, 0, 54, -42, 0, -54, 54, 0, 90, -30, 0, 72, 108, 0, -54, -30, 0, 18, 150, 0, 234, 42, 0, 0, -36, 0, 207, -6, 0, 108, 228, 0, -216, 18, 0, 72, 246, 0, 0, 6, 0, 0, 168, 0, 162, 18, 0, -18, 51, 0, 0, -30, 0, 90, 42, 0, 90, 36, 0, -108, -72, 0, 90, -12, 0, 90, -6, 0, 0, -135, 0, -36, 48, 0, 81, 0, 0, 0, 180, 0, -81, -207, 0, 90, -168, 0, -180, -36, 0, 72, -300, 0, -54, 18, 0, 0, -108, 0, 63, 33, 0, 0, -90, 0, 27, -6, 0, 0, 48, 0, -90, 12, 0, -54, -288, 0, -234, -114, 0, -54, -72, 0, 54, -54, 0, -198, -6, 0, -180, -24, 0, 0, -78, 0, -198, -45, 0, -198, -288, 0, 36, -6, 0, -18, -42, 0, -252, 18, 0, 0, 12, 0, -252, -108, 0, -90, -48, 0, 36, -18, 0, -108, -150, 0, -180, -156, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35013828
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.145.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35013829
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.31.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35013830
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.271.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35013831
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.109.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35013832
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.109.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35013833
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35013834
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 193, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.193.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35013835
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.379.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35013836
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.973.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35013837
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.487.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35013838
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.19.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35013839
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.217.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35013840
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408370, 'target_is_minimal': False, 'target_label': '1458.2.a.f.1.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35013841
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021597797778866, 'target_is_minimal': False, 'target_label': '1458.2.a.g.1.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35013842
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35013843
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.7.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35013844
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.487.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35013845
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.973.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35013846
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.379.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 35013847
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503874538832034, 'source_is_minimal': False, 'source_label': '162.2.e.b.145.1', 'source_level': 162, 'target_conrey_index': 385, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.385.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '108.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 423550
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 2]], 'hecke_orbit_code': 4503874538832034, 'p': 2}
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id: 423551
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503874538832034, 'p': 3}
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id: 423552
{'charpoly_factorization': [[[5184, 7776, 2592, 3672, 3564, -5184, 1053, 27, 162, -24, 9, -3, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 5}
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id: 423553
{'charpoly_factorization': [[[64, -480, -384, 5344, 26208, -1476, 1029, 603, 153, 88, 24, 3, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 7}
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id: 423554
{'charpoly_factorization': [[[81, -243, -1296, -702, 38313, -41148, 23409, -8397, 2430, -537, 90, -12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 11}
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id: 423555
{'charpoly_factorization': [[[23104, -62016, 139488, -176528, 138096, -35442, 3189, 1926, -846, 43, 48, -12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 13}
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id: 423556
{'charpoly_factorization': [[[110889, -125874, 157869, -70902, 57915, -21546, 15012, -3294, 1161, -156, 54, -6, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 17}
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id: 423557
{'charpoly_factorization': [[[94249, 48813, 83304, 43015, 53721, 24300, 13911, 3204, 1269, 265, 78, 9, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 19}
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id: 423558
{'charpoly_factorization': [[[5184, 62208, 336960, 478440, 671328, 472392, 199665, 63882, 16902, 3291, 414, 30, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 23}
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id: 423559
{'charpoly_factorization': [[[5184, -7776, 25920, -29376, 33696, -32724, 10125, 4239, -864, -132, 81, 15, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 29}
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id: 423560
{'charpoly_factorization': [[[4032064, -8023968, 6442848, 2198392, 377244, 14796, 17769, -9261, -1836, 421, 81, 0, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 31}
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id: 423561
{'charpoly_factorization': [[[142659136, 12039552, 37636368, 16521520, 10227924, 2696346, 682809, 92988, 15381, 1642, 225, 15, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 37}
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id: 423562
{'charpoly_factorization': [[[2653641, -3606606, 1955583, -542349, 143532, -75492, 34830, -11151, 3186, -753, 117, -12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 41}
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id: 423563
{'charpoly_factorization': [[[49674304, -76879584, 56268144, -22280240, 5621328, -841554, -13389, 23481, 855, 268, 36, -9, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 43}
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id: 423564
{'charpoly_factorization': [[[419904, 1469664, 1364688, 151632, 1014768, -167670, -32805, 38637, 5508, -558, 99, -9, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 47}
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id: 423565
{'charpoly_factorization': [[[-72, 216, 414, -3, -63, -6, 1], 2]], 'hecke_orbit_code': 4503874538832034, 'p': 53}
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id: 423566
{'charpoly_factorization': [[[82464561, -68161986, 10967967, -4568913, 4345974, 1401219, 470448, 90288, 7452, -111, 9, 12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 59}
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id: 423567
{'charpoly_factorization': [[[1000000, -1800000, 1080000, 2266000, 1634400, 832770, 337179, 104589, 24534, 4291, 531, 36, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 61}
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id: 423568
{'charpoly_factorization': [[[249393368449, -64271879100, 8636864022, -557686865, -48642471, 15539985, -1035015, -99927, 38745, -6185, 630, -36, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 67}
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id: 423569
{'charpoly_factorization': [[[488586816, -279306144, 190304640, -25589304, 12450672, 430434, 867051, 58347, 16875, 978, 225, 12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 71}
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id: 423570
{'charpoly_factorization': [[[72361, -97647, 266538, -133943, 477801, -336762, 310857, -50616, 14427, 2245, 390, 21, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 73}
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id: 423571
{'charpoly_factorization': [[[591851584, -221287488, 4041888, -22247840, 16595640, -4745898, 2193699, -652383, 115101, -11936, 822, -39, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 79}
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id: 423572
{'charpoly_factorization': [[[13756474944, 6308217792, 2412768384, 861479712, 192648456, 25945110, 2718441, 271188, 20088, 981, 126, 18, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 83}
-
id: 423573
{'charpoly_factorization': [[[126899100441, -15841147401, 9280898919, -590870484, 417935295, -23500206, 8737335, 121851, 77706, 978, 414, 12, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 89}
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id: 423574
{'charpoly_factorization': [[[373532435929, -89426222187, 3086903058, 2239966411, -254241909, -1860363, 5346381, -1235493, 187821, -17282, 993, -39, 1], 1]], 'hecke_orbit_code': 4503874538832034, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '162.2.e.b', 'level': 162, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21972289
{'hecke_orbit_code': 4503874538832034, 'n': 1, 'trace_an': 12}
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id: 21972290
{'hecke_orbit_code': 4503874538832034, 'n': 2, 'trace_an': 0}
-
id: 21972291
{'hecke_orbit_code': 4503874538832034, 'n': 3, 'trace_an': 0}
-
id: 21972292
{'hecke_orbit_code': 4503874538832034, 'n': 4, 'trace_an': 0}
-
id: 21972293
{'hecke_orbit_code': 4503874538832034, 'n': 5, 'trace_an': 3}
-
id: 21972294
{'hecke_orbit_code': 4503874538832034, 'n': 6, 'trace_an': 0}
-
id: 21972295
{'hecke_orbit_code': 4503874538832034, 'n': 7, 'trace_an': -3}
-
id: 21972296
{'hecke_orbit_code': 4503874538832034, 'n': 8, 'trace_an': 6}
-
id: 21972297
{'hecke_orbit_code': 4503874538832034, 'n': 9, 'trace_an': 0}
-
id: 21972298
{'hecke_orbit_code': 4503874538832034, 'n': 10, 'trace_an': -3}
-
id: 21972299
{'hecke_orbit_code': 4503874538832034, 'n': 11, 'trace_an': 12}
-
id: 21972300
{'hecke_orbit_code': 4503874538832034, 'n': 12, 'trace_an': 0}
-
id: 21972301
{'hecke_orbit_code': 4503874538832034, 'n': 13, 'trace_an': 12}
-
id: 21972302
{'hecke_orbit_code': 4503874538832034, 'n': 14, 'trace_an': 3}
-
id: 21972303
{'hecke_orbit_code': 4503874538832034, 'n': 15, 'trace_an': 0}
-
id: 21972304
{'hecke_orbit_code': 4503874538832034, 'n': 16, 'trace_an': 0}
-
id: 21972305
{'hecke_orbit_code': 4503874538832034, 'n': 17, 'trace_an': 6}
-
id: 21972306
{'hecke_orbit_code': 4503874538832034, 'n': 18, 'trace_an': 0}
-
id: 21972307
{'hecke_orbit_code': 4503874538832034, 'n': 19, 'trace_an': -9}
-
id: 21972308
{'hecke_orbit_code': 4503874538832034, 'n': 20, 'trace_an': -6}
-
id: 21972309
{'hecke_orbit_code': 4503874538832034, 'n': 21, 'trace_an': 0}
-
id: 21972310
{'hecke_orbit_code': 4503874538832034, 'n': 22, 'trace_an': -12}
-
id: 21972311
{'hecke_orbit_code': 4503874538832034, 'n': 23, 'trace_an': -30}
-
id: 21972312
{'hecke_orbit_code': 4503874538832034, 'n': 24, 'trace_an': 0}
-
id: 21972313
{'hecke_orbit_code': 4503874538832034, 'n': 25, 'trace_an': -9}
-
id: 21972314
{'hecke_orbit_code': 4503874538832034, 'n': 26, 'trace_an': -18}
-
id: 21972315
{'hecke_orbit_code': 4503874538832034, 'n': 27, 'trace_an': 0}
-
id: 21972316
{'hecke_orbit_code': 4503874538832034, 'n': 28, 'trace_an': 12}
-
id: 21972317
{'hecke_orbit_code': 4503874538832034, 'n': 29, 'trace_an': -15}
-
id: 21972318
{'hecke_orbit_code': 4503874538832034, 'n': 30, 'trace_an': 0}
-
id: 21972319
{'hecke_orbit_code': 4503874538832034, 'n': 31, 'trace_an': 0}
-
id: 21972320
{'hecke_orbit_code': 4503874538832034, 'n': 32, 'trace_an': 0}
-
id: 21972321
{'hecke_orbit_code': 4503874538832034, 'n': 33, 'trace_an': 0}
-
id: 21972322
{'hecke_orbit_code': 4503874538832034, 'n': 34, 'trace_an': -15}
-
id: 21972323
{'hecke_orbit_code': 4503874538832034, 'n': 35, 'trace_an': -3}
-
id: 21972324
{'hecke_orbit_code': 4503874538832034, 'n': 36, 'trace_an': 0}
-
id: 21972325
{'hecke_orbit_code': 4503874538832034, 'n': 37, 'trace_an': -15}
-
id: 21972326
{'hecke_orbit_code': 4503874538832034, 'n': 38, 'trace_an': -3}
-
id: 21972327
{'hecke_orbit_code': 4503874538832034, 'n': 39, 'trace_an': 0}
-
id: 21972328
{'hecke_orbit_code': 4503874538832034, 'n': 40, 'trace_an': -3}
-
id: 21972329
{'hecke_orbit_code': 4503874538832034, 'n': 41, 'trace_an': 12}
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