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{'Nk2': 30492, 'analytic_conductor': 60.86996146082204, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 1], [11, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7623, 1, [848, 4357, 4600], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 2649723461832287453184, 'field_disc_factorization': [[2, 20], [3, 6], [11, 2], [13, 2], [61, 1], [1667, 2]], 'field_poly': [244, 0, -936, 0, 1240, 0, -692, 0, 181, 0, -22, 0, 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': 1, 'hecke_cutters': [[2, [244, 0, -936, 0, 1240, 0, -692, 0, 181, 0, -22, 0, 1]], [5, [7381, 0, -21846, 0, 16771, 0, -5300, 0, 751, 0, -46, 0, 1]], [13, [-50, 260, -174, -150, 5, 10, 1]]], 'hecke_orbit': 78, 'hecke_orbit_code': 346777171341090247, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7623.2.a.cz', 'level': 7623, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '7623.2.a.cz', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+\\beta _{8}q^{5}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7623.2.a', 'trace_display': [0, 0, 0, -12], 'trace_hash': 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mf_hecke_cc • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 45, 19], [[[3, 1], [7, -1], [11, -1]], 20, 7], [[[3, -1], [7, 1], [11, 1]], 41, 10], [[[3, 1], [7, -1], [11, 1]], 34, 3], [[[3, -1], [7, 1], [11, -1]], 40, 20], [[[3, -1], [7, -1], [11, 1]], 37, 11], [[[3, 1], [7, 1], [11, -1]], 30, 8], [[[3, 1], [7, 1], [11, 1]], 26, 3]], 'ALdims': [26, 30, 34, 20, 41, 40, 37, 45], 'Nk2': 30492, 'analytic_conductor': 60.86996146082204, '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': [7623, 1, [848, 4357, 4600], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 273, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33562055, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 12, 12, 16, 16], 'label': '7623.2.a', 'level': 7623, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'mf_dim': 1104, 'mf_new_dim': 273, 'num_forms': 81, 'plus_dim': 123, 'prim_orbit_index': 1, 'relative_dim': 273, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [1, 0, 6, -1], 'traces': [273, 1, 0, 269, 6, 0, -1, -3, 0, 6, 0, 0, 6, -3, 0, 269, 14, 0, -8, -6, 0, 0, -12, 0, 287, 2, 0, -3, 22, 0, -8, -35, 0, 2, 6, 0, 6, -24, 0, 6, 22, 0, 12, 0, 0, 20, -12, 0, 273, -65, 0, 50, 10, 0, 0, -15, 0, 34, -8, 0, 18, 4, 0, 309, 20, 0, 4, 30, 0, 18, 0, 0, -2, 22, 0, 36, 0, 0, -36, 22, 0, 38, 12, 0, 16, 12, 0, 0, 26, 0, -6, -20, 0, -36, -20, 0, -14, 1, 0, 247, -10, 0, -20, 10, 0, -14, -16, 0, -6, 0, 0, -23, 6, 0, -68, 86, 0, -32, -2, 0, 0, 106, 0, -56, 204, 0, 12, -27, 0, 132, 16, 0, 20, 44, 0, 6, 106, 0, 32, 22, 0, -20, 0, 0, 16, 86, 0, -34, 22, 0, 36, -68, 0, 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mf_twists_cc • Show schema
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id: 49149551
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 346777171341090247, 'source_is_minimal': True, 'source_label': '7623.2.a.cz.1.8', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 346777171341090247, 'target_is_minimal': True, 'target_label': '7623.2.a.cz.1.8', 'target_level': 7623, 'twist_class_label': '7623.2.a.cz.1.5', 'twist_class_level': 7623, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49149552
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 346777171341090247, 'source_is_minimal': True, 'source_label': '7623.2.a.cz.1.8', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 346777171341090247, 'target_is_minimal': True, 'target_label': '7623.2.a.cz.1.5', 'target_level': 7623, 'twist_class_label': '7623.2.a.cz.1.5', 'twist_class_level': 7623, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49149553
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 346777171341090247, 'source_is_minimal': True, 'source_label': '7623.2.a.cz.1.8', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 351280770968460743, 'target_is_minimal': True, 'target_label': '7623.2.a.da.1.5', 'target_level': 7623, 'twist_class_label': '7623.2.a.cz.1.5', 'twist_class_level': 7623, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 49149554
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 12, 'source_embedding_index': 8, 'source_hecke_orbit_code': 346777171341090247, 'source_is_minimal': True, 'source_label': '7623.2.a.cz.1.8', 'source_level': 7623, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 8, 'target_hecke_orbit_code': 351280770968460743, 'target_is_minimal': True, 'target_label': '7623.2.a.da.1.8', 'target_level': 7623, 'twist_class_label': '7623.2.a.cz.1.5', 'twist_class_level': 7623, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4528975
{'charpoly_factorization': [[[244, 0, -936, 0, 1240, 0, -692, 0, 181, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 2}
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id: 4528976
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 346777171341090247, 'p': 3}
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id: 4528977
{'charpoly_factorization': [[[7381, 0, -21846, 0, 16771, 0, -5300, 0, 751, 0, -46, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 5}
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id: 4528978
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 346777171341090247, 'p': 7}
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id: 4528979
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 346777171341090247, 'p': 11}
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id: 4528980
{'charpoly_factorization': [[[-50, 260, -174, -150, 5, 10, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 13}
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id: 4528981
{'charpoly_factorization': [[[325069, 0, -615850, 0, 358435, 0, -72812, 0, 4567, 0, -114, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 17}
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id: 4528982
{'charpoly_factorization': [[[-8, 16, 46, -40, -8, 6, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 19}
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id: 4528983
{'charpoly_factorization': [[[999424, 0, -1111552, 0, 380980, 0, -54608, 0, 3652, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 23}
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id: 4528984
{'charpoly_factorization': [[[18452500, 0, -15528200, 0, 3436712, 0, -309564, 0, 12117, 0, -190, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 29}
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id: 4528985
{'charpoly_factorization': [[[352, 1216, -168, -552, -76, 8, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 31}
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id: 4528986
{'charpoly_factorization': [[[-28748, 3312, 4744, 56, -131, -2, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 37}
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id: 4528987
{'charpoly_factorization': [[[161673424, 0, -91976896, 0, 16883976, 0, -1160088, 0, 31433, 0, -314, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 41}
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id: 4528988
{'charpoly_factorization': [[[6100, 10960, 1881, -648, -106, 8, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 43}
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id: 4528989
{'charpoly_factorization': [[[74887504, 0, -85072440, 0, 14519389, 0, -816128, 0, 20278, 0, -232, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 47}
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id: 4528990
{'charpoly_factorization': [[[249856, 0, -4089856, 0, 2044800, 0, -296736, 0, 15713, 0, -254, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 53}
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id: 4528991
{'charpoly_factorization': [[[3646813264, 0, -914670136, 0, 68200653, 0, -2298552, 0, 38918, 0, -320, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 59}
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id: 4528992
{'charpoly_factorization': [[[36928, 3984, -5618, -1144, 52, 22, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 61}
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id: 4528993
{'charpoly_factorization': [[[-41456, -11512, 9301, 64, -206, 0, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 67}
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id: 4528994
{'charpoly_factorization': [[[1072030752064, 0, -84342860128, 0, 2455107796, 0, -33858224, 0, 233764, 0, -780, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 71}
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id: 4528995
{'charpoly_factorization': [[[46432, -6480, -6362, -284, 184, 26, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 73}
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id: 4528996
{'charpoly_factorization': [[[443344, -217536, 23860, 2176, -368, -4, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 79}
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id: 4528997
{'charpoly_factorization': [[[790976775424, 0, -70978797216, 0, 2125250485, 0, -29691680, 0, 210910, 0, -736, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 83}
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id: 4528998
{'charpoly_factorization': [[[1406025661, 0, -1804426718, 0, 577125635, 0, -15286164, 0, 151239, 0, -646, 0, 1], 1]], 'hecke_orbit_code': 346777171341090247, 'p': 89}
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id: 4528999
{'charpoly_factorization': [[[-92066, -91720, -30550, -4062, -123, 16, 1], 2]], 'hecke_orbit_code': 346777171341090247, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 78, 'label': '7623.2.a.cz', 'level': 7623, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 280789000
{'hecke_orbit_code': 346777171341090247, 'n': 1, 'trace_an': 12}
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id: 280789001
{'hecke_orbit_code': 346777171341090247, 'n': 2, 'trace_an': 0}
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id: 280789002
{'hecke_orbit_code': 346777171341090247, 'n': 3, 'trace_an': 0}
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id: 280789003
{'hecke_orbit_code': 346777171341090247, 'n': 4, 'trace_an': 20}
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id: 280789004
{'hecke_orbit_code': 346777171341090247, 'n': 5, 'trace_an': 0}
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