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{'Nk2': 6012, 'analytic_conductor': 12.001515423798441, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [167, -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': [1503, 1, [335, 172], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 378242866708, 'field_disc_factorization': [[2, 2], [7, 1], [13508673811, 1]], 'field_poly': [1, 23, 17, -64, 9, 28, -8, -3, 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': [[2, [1, -23, 17, 64, 9, -28, -8, 3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037919, 'hecke_ring_generator_nbound': 5, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1503.2.a.e', 'level': 1503, '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': [3, 167], 'level_radical': 501, 'minimal_twist': '501.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{3}+\\beta _{5}+\\beta _{7})q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1503.2.a', 'trace_display': [-3, 0, -7, -4], 'trace_hash': 373437584014110793, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.017', 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mf_newspaces • Show schema
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{'ALdims': [14, 14, 26, 15], 'Nk2': 6012, 'analytic_conductor': 12.001515423798441, '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': [1503, 1, [335, 172], [1, 1]], 'conrey_index': 1, 'cusp_dim': 165, 'dim': 69, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555935, 'hecke_orbit_dims': [1, 2, 5, 5, 8, 8, 12, 14, 14], 'label': '1503.2.a', 'level': 1503, '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': [3, 167], 'level_radical': 501, 'mf_dim': 172, 'mf_new_dim': 69, 'num_forms': 9, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 69, 'sturm_bound': 336, 'trace_bound': 2, 'trace_display': [2, 0, 4, -2], 'traces': [69, 2, 0, 70, 4, 0, -2, 12, 0, 4, 0, 0, -2, -6, 0, 72, 4, 0, 4, 16, 0, -12, 6, 0, 63, 10, 0, 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-10, 0, 30, 468, 0, 292, -160, 0, 144, -218, 0, -14], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43892440
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543037919, 'source_is_minimal': False, 'source_label': '1503.2.a.e.1.8', 'source_level': 1503, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014398543037919, 'target_is_minimal': False, 'target_label': '1503.2.a.e.1.8', 'target_level': 1503, 'twist_class_label': '501.2.a.e.1.1', 'twist_class_level': 501, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43892441
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543037919, 'source_is_minimal': False, 'source_label': '1503.2.a.e.1.8', 'source_level': 1503, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036917, 'target_is_minimal': True, 'target_label': '501.2.a.e.1.1', 'target_level': 501, 'twist_class_label': '501.2.a.e.1.1', 'twist_class_level': 501, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43892442
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 18014398543037919, 'source_is_minimal': False, 'source_label': '1503.2.a.e.1.8', 'source_level': 1503, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582791463083856, 'target_is_minimal': False, 'target_label': '8016.2.a.x.1.4', 'target_level': 8016, 'twist_class_label': '501.2.a.e.1.1', 'twist_class_level': 501, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1996975
{'charpoly_factorization': [[[1, -23, 17, 64, 9, -28, -8, 3, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 2}
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id: 1996976
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014398543037919, 'p': 3}
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id: 1996977
{'charpoly_factorization': [[[-18, 124, 196, -9, -125, -50, 7, 7, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 5}
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id: 1996978
{'charpoly_factorization': [[[-16, -48, 84, 255, 63, -65, -19, 4, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 7}
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id: 1996979
{'charpoly_factorization': [[[-1596, 1316, 1804, -435, -691, -104, 41, 13, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 11}
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id: 1996980
{'charpoly_factorization': [[[56, 412, 994, 973, 320, -52, -37, 0, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 13}
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id: 1996981
{'charpoly_factorization': [[[7822, 41000, 30254, 4863, -1801, -626, -20, 11, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 17}
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id: 1996982
{'charpoly_factorization': [[[4384, 8448, 1000, -2645, -288, 298, 5, -12, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 19}
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id: 1996983
{'charpoly_factorization': [[[384, -928, -312, 585, 119, -114, -19, 7, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 23}
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id: 1996984
{'charpoly_factorization': [[[88, -652, -1858, 231, 1007, -8, -103, 1, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 29}
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id: 1996985
{'charpoly_factorization': [[[-1017696, -1322576, -275064, 50249, 13680, -581, -206, 2, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 31}
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id: 1996986
{'charpoly_factorization': [[[-42872, -83724, -26006, 18797, 2913, -894, -107, 9, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 37}
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id: 1996987
{'charpoly_factorization': [[[-859446, -962494, -154490, 50327, 10530, -793, -188, 4, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 41}
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id: 1996988
{'charpoly_factorization': [[[114, 622, 1258, 1137, 400, -23, -38, -2, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 43}
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id: 1996989
{'charpoly_factorization': [[[-68732, -89328, 111504, 26255, -6384, -1811, -33, 17, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 47}
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id: 1996990
{'charpoly_factorization': [[[20326, -8186, -10334, 4463, 1042, -407, -53, 9, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 53}
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id: 1996991
{'charpoly_factorization': [[[-21056, 122192, 23524, -20601, -5490, 459, 269, 29, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 59}
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id: 1996992
{'charpoly_factorization': [[[51244, 24192, -106134, 23067, 4848, -1028, -99, 12, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 61}
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id: 1996993
{'charpoly_factorization': [[[-1226366, -1010722, -178430, 36139, 10402, -320, -177, 0, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 67}
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id: 1996994
{'charpoly_factorization': [[[32816, 24360, -14648, -21115, -8371, -1345, -34, 13, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 71}
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id: 1996995
{'charpoly_factorization': [[[-9386184, -4503628, 816678, 283203, -8468, -5200, -169, 20, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 73}
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id: 1996996
{'charpoly_factorization': [[[39988958, 23441222, -3540828, -541873, 67944, 3851, -464, -8, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 79}
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id: 1996997
{'charpoly_factorization': [[[-2562224, 656928, 485892, -21827, -25110, -1629, 257, 33, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 83}
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id: 1996998
{'charpoly_factorization': [[[-216312, 393620, -188850, -561, 12156, -398, -199, 4, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 89}
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id: 1996999
{'charpoly_factorization': [[[-24584, -1293780, 547194, 124853, -26723, -5065, 50, 31, 1], 1]], 'hecke_orbit_code': 18014398543037919, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1503.2.a.e', 'level': 1503, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 38107609
{'hecke_orbit_code': 18014398543037919, 'n': 1, 'trace_an': 8}
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id: 38107610
{'hecke_orbit_code': 18014398543037919, 'n': 2, 'trace_an': -3}
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id: 38107611
{'hecke_orbit_code': 18014398543037919, 'n': 3, 'trace_an': 0}
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id: 38107612
{'hecke_orbit_code': 18014398543037919, 'n': 4, 'trace_an': 9}
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id: 38107613
{'hecke_orbit_code': 18014398543037919, 'n': 5, 'trace_an': -7}
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id: 38107614
{'hecke_orbit_code': 18014398543037919, 'n': 6, 'trace_an': 0}
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id: 38107615
{'hecke_orbit_code': 18014398543037919, 'n': 7, 'trace_an': -4}
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id: 38107616
{'hecke_orbit_code': 18014398543037919, 'n': 8, 'trace_an': -3}
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id: 38107617
{'hecke_orbit_code': 18014398543037919, 'n': 9, 'trace_an': 0}
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id: 38107618
{'hecke_orbit_code': 18014398543037919, 'n': 10, 'trace_an': -1}
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id: 38107619
{'hecke_orbit_code': 18014398543037919, 'n': 11, 'trace_an': -13}
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id: 38107620
{'hecke_orbit_code': 18014398543037919, 'n': 12, 'trace_an': 0}
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id: 38107621
{'hecke_orbit_code': 18014398543037919, 'n': 13, 'trace_an': 0}
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id: 38107622
{'hecke_orbit_code': 18014398543037919, 'n': 14, 'trace_an': -5}
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id: 38107623
{'hecke_orbit_code': 18014398543037919, 'n': 15, 'trace_an': 0}
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id: 38107624
{'hecke_orbit_code': 18014398543037919, 'n': 16, 'trace_an': 7}
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id: 38107625
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