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{'Nk2': 30276, 'analytic_conductor': 60.43876928990712, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [29, 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': [7569, 1, [5888, 1684], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 1387342067237, 'field_disc_factorization': [[7, 6], [11792213, 1]], 'field_poly': [-8, -36, 84, 21, -90, 6, 33, -6, -4, 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, -2, 40, 31, -71, -20, 37, -2, -5, 1]], [5, [-461, 13, 711, -67, -353, 58, 68, -15, -4, 1]], [7, [568, -1324, 560, 691, -569, -21, 108, -16, -5, 1]], [19, [767768, 149512, -240898, -24537, 21873, 2044, -774, -79, 9, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873640849, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7569.2.a.bm', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '87.2.g.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1-\\beta _{1}+\\beta _{3}+\\beta _{4})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7569.2.a', 'trace_display': [5, 0, 4, 5], 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'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.5886036625876985, 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873640849, 'label': '7569.2.a.bm.1.8', 'level': 7569, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [61, 75, 98, 91], 'ALdims_eis_new': [0, 0, 13, 14], 'ALdims_eis_old': [29, 30, 17, 16], 'ALdims_old': [135, 134, 112, 105], 'Nk2': 30276, 'analytic_conductor': 60.43876928990712, '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': [7569, 1, [5888, 1684], [1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 325, 'eis_dim': 119, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 5, 7, 19], 'hecke_orbit_code': 33562001, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 16, 16, 36], 'label': '7569.2.a', 'level': 7569, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 930, 'mf_new_dim': 352, 'num_forms': 49, 'plus_dim': 152, 'prim_orbit_index': 1, 'relative_dim': 325, 'sturm_bound': 1740, 'trace_bound': 19, 'trace_display': [1, 0, 0, 0], 'traces': [325, 1, 0, 317, 0, 0, 0, -3, 0, 4, -2, 0, 4, -4, 0, 301, 6, 0, 0, -24, 0, 0, 0, 0, 273, 8, 0, -10, 0, 0, -6, 5, 0, -28, -4, 0, 10, 2, 0, 16, 10, 0, 2, -14, 0, 12, -14, 0, 257, 53, 0, 22, 24, 0, -14, 32, 0, 0, 14, 0, 14, 12, 0, 239, -4, 0, -18, 38, 0, 8, -36, 0, -10, -8, 0, -24, -8, 0, 2, -22, 0, 28, -14, 0, 24, 36, 0, -50, -6, 0, 20, 50, 0, 22, -44, 0, -34, -11, 0, 191, -26, 0, -8, -24, 0, -16, -18, 0, 32, -10, 0, -6, 62, 0, -40, 0, 0, -40, 0, 0, 171, 50, 0, 10, -12, 0, -36, 25, 0, 14, 0, 0, 8, -16, 0, -12, 82, 0, 14, -34, 0, -4, 14, 0, 0, 58, 0, -2, -36, 0, -40, -44, 0, -2, 50, 0, -46, -30, 0, 60, -56, 0, 14, -26, 0, -32, -8, 0, 141, 58, 0, 2, 24, 0, -48, -2, 0, -100, 58, 0, 60, -92, 0, 20, 36, 0, 4, -74, 0, -14, 20, 0, -18, -100, 0, 149, -40, 0, -24, 85, 0, 0, 0, 0, 60, 52, 0, 8, 4, 0, 54, 74, 0, -4, 38, 0, 80, -32, 0, -6, 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-114, -16, 0, -355, -478, 0, 124, 60, 0, 70, -65, 0, -306, 16, 0, 58, 0, 0, 98, 108, 0, -76, 706, 0, -10, 122, 0, -314, 0, 0, 252, -12, 0, 226, 222, 0, 120, -16, 0, 10, -100, 0, 290], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48910194
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 171136785873640849, 'target_is_minimal': False, 'target_label': '7569.2.a.bm.1.8', 'target_level': 7569, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48910195
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743899, 'target_is_minimal': False, 'target_label': '2523.2.a.o.1.2', 'target_level': 2523, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48910196
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 226, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063045, 'target_is_minimal': False, 'target_label': '261.2.k.c.226.1', 'target_level': 261, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '29.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48910197
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 82, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007886483063045, 'target_is_minimal': False, 'target_label': '261.2.k.c.82.1', 'target_level': 261, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '29.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48910198
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991529361, 'target_is_minimal': False, 'target_label': '7569.2.a.bj.1.2', 'target_level': 7569, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48910199
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 52, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350414935, 'target_is_minimal': True, 'target_label': '87.2.g.a.52.3', 'target_level': 87, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '87.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48910200
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 82, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350414935, 'target_is_minimal': True, 'target_label': '87.2.g.a.82.3', 'target_level': 87, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '87.71', 'twisting_conrey_index': 71, 'weight': 2}
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id: 48910201
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 171136785873640849, 'source_is_minimal': False, 'source_label': '7569.2.a.bm.1.8', 'source_level': 7569, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 76561193698855387, 'target_is_minimal': False, 'target_label': '2523.2.a.r.1.8', 'target_level': 2523, 'twist_class_label': '87.2.g.a.52.3', 'twist_class_level': 87, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4512450
{'charpoly_factorization': [[[-1, -2, 40, 31, -71, -20, 37, -2, -5, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 2}
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id: 4512451
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 171136785873640849, 'p': 3}
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id: 4512452
{'charpoly_factorization': [[[-461, 13, 711, -67, -353, 58, 68, -15, -4, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 5}
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id: 4512453
{'charpoly_factorization': [[[568, -1324, 560, 691, -569, -21, 108, -16, -5, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 7}
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id: 4512454
{'charpoly_factorization': [[[1112, 1096, -2050, -1619, 1075, 593, -88, -50, 1, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 11}
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id: 4512455
{'charpoly_factorization': [[[-46697, -111573, -89481, -21405, 5246, 2549, -45, -87, -1, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 13}
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id: 4512456
{'charpoly_factorization': [[[-86143, 42666, 24696, -12802, -2585, 1383, 118, -63, -2, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 17}
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id: 4512457
{'charpoly_factorization': [[[767768, 149512, -240898, -24537, 21873, 2044, -774, -79, 9, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 19}
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id: 4512458
{'charpoly_factorization': [[[-29672, 42564, 70202, -18617, -14784, 3576, 474, -119, -4, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 23}
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id: 4512459
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 171136785873640849, 'p': 29}
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id: 4512460
{'charpoly_factorization': [[[-13336, -30740, -6924, 15297, 7925, 48, -532, -56, 8, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 31}
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id: 4512461
{'charpoly_factorization': [[[137297, -445895, 125374, 87076, -12567, -7471, -140, 211, 27, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 37}
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id: 4512462
{'charpoly_factorization': [[[-3560291, -369754, 1008112, -15014, -77409, 5077, 1800, -143, -12, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 41}
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id: 4512463
{'charpoly_factorization': [[[16472, -58020, -38682, 29849, 17785, -1662, -1282, -38, 16, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 43}
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id: 4512464
{'charpoly_factorization': [[[904, -692, -6336, 2385, 2853, -346, -443, -43, 8, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 47}
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id: 4512465
{'charpoly_factorization': [[[-2305981, 765545, 783173, -172566, -60162, 10771, 1348, -204, -8, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 53}
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id: 4512466
{'charpoly_factorization': [[[-897224, -2414644, -10296, 436861, -44950, -19019, 3922, -138, -16, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 59}
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id: 4512467
{'charpoly_factorization': [[[-722639, -667803, -7577, 115946, 18373, -5328, -1209, 44, 21, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 61}
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id: 4512468
{'charpoly_factorization': [[[-45704, -441804, -915632, -358349, 13022, 15872, 224, -224, -3, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 67}
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id: 4512469
{'charpoly_factorization': [[[-89667752, 79541928, -26031182, 3214349, 128970, -70412, 4954, 178, -33, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 71}
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id: 4512470
{'charpoly_factorization': [[[-247283, 836604, 53145, -442270, 71752, 23523, -978, -288, 3, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 73}
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id: 4512471
{'charpoly_factorization': [[[-93512, -531840, -698114, -22143, 93986, 14296, -1488, -272, 3, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 79}
-
id: 4512472
{'charpoly_factorization': [[[-803656, 1506876, 566202, -501579, 33568, 17726, -1626, -204, 13, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 83}
-
id: 4512473
{'charpoly_factorization': [[[46711771, 38750606, 837151, -4645703, -432702, 96539, 3359, -573, -6, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 89}
-
id: 4512474
{'charpoly_factorization': [[[-6388081, 2937746, 1594369, -698207, -50188, 33303, -559, -355, 4, 1], 1]], 'hecke_orbit_code': 171136785873640849, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '7569.2.a.bm', 'level': 7569, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70320457
{'hecke_orbit_code': 171136785873640849, 'n': 1, 'trace_an': 9}
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id: 70320458
{'hecke_orbit_code': 171136785873640849, 'n': 2, 'trace_an': 5}
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id: 70320459
{'hecke_orbit_code': 171136785873640849, 'n': 3, 'trace_an': 0}
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id: 70320460
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