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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': 36, 'hecke_orbit_code': 157625986991529361, '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.bj', '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}+\\cdots)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, 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'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.5886036625876985, 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529361, 'label': '7569.2.a.bj.1.2', 'level': 7569, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [61, 75, 98, 91], '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, 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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: 48855362
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48855363
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48855364
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '29.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48855365
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '29.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48855366
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 48855367
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '87.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48855368
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '87.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 48855369
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 2, 'source_hecke_orbit_code': 157625986991529361, 'source_is_minimal': False, 'source_label': '7569.2.a.bj.1.2', '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': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4512350
{'charpoly_factorization': [[[1, -2, -40, 31, 71, -20, -37, -2, 5, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 2}
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id: 4512351
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 157625986991529361, 'p': 3}
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id: 4512352
{'charpoly_factorization': [[[-461, 13, 711, -67, -353, 58, 68, -15, -4, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 5}
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id: 4512353
{'charpoly_factorization': [[[568, -1324, 560, 691, -569, -21, 108, -16, -5, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 7}
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id: 4512354
{'charpoly_factorization': [[[-1112, 1096, 2050, -1619, -1075, 593, 88, -50, -1, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 11}
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id: 4512355
{'charpoly_factorization': [[[-46697, -111573, -89481, -21405, 5246, 2549, -45, -87, -1, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 13}
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id: 4512356
{'charpoly_factorization': [[[86143, 42666, -24696, -12802, 2585, 1383, -118, -63, 2, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 17}
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id: 4512357
{'charpoly_factorization': [[[-767768, 149512, 240898, -24537, -21873, 2044, 774, -79, -9, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 19}
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id: 4512358
{'charpoly_factorization': [[[-29672, 42564, 70202, -18617, -14784, 3576, 474, -119, -4, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 23}
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id: 4512359
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 157625986991529361, 'p': 29}
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id: 4512360
{'charpoly_factorization': [[[13336, -30740, 6924, 15297, -7925, 48, 532, -56, -8, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 31}
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id: 4512361
{'charpoly_factorization': [[[-137297, -445895, -125374, 87076, 12567, -7471, 140, 211, -27, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 37}
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id: 4512362
{'charpoly_factorization': [[[3560291, -369754, -1008112, -15014, 77409, 5077, -1800, -143, 12, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 41}
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id: 4512363
{'charpoly_factorization': [[[-16472, -58020, 38682, 29849, -17785, -1662, 1282, -38, -16, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 43}
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id: 4512364
{'charpoly_factorization': [[[-904, -692, 6336, 2385, -2853, -346, 443, -43, -8, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 47}
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id: 4512365
{'charpoly_factorization': [[[-2305981, 765545, 783173, -172566, -60162, 10771, 1348, -204, -8, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 53}
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id: 4512366
{'charpoly_factorization': [[[-897224, -2414644, -10296, 436861, -44950, -19019, 3922, -138, -16, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 59}
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id: 4512367
{'charpoly_factorization': [[[722639, -667803, 7577, 115946, -18373, -5328, 1209, 44, -21, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 61}
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id: 4512368
{'charpoly_factorization': [[[-45704, -441804, -915632, -358349, 13022, 15872, 224, -224, -3, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 67}
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id: 4512369
{'charpoly_factorization': [[[-89667752, 79541928, -26031182, 3214349, 128970, -70412, 4954, 178, -33, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 71}
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id: 4512370
{'charpoly_factorization': [[[247283, 836604, -53145, -442270, -71752, 23523, 978, -288, -3, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 73}
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id: 4512371
{'charpoly_factorization': [[[93512, -531840, 698114, -22143, -93986, 14296, 1488, -272, -3, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 79}
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id: 4512372
{'charpoly_factorization': [[[-803656, 1506876, 566202, -501579, 33568, 17726, -1626, -204, 13, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 83}
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id: 4512373
{'charpoly_factorization': [[[-46711771, 38750606, -837151, -4645703, 432702, 96539, -3359, -573, 6, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 89}
-
id: 4512374
{'charpoly_factorization': [[[6388081, 2937746, -1594369, -698207, 50188, 33303, 559, -355, -4, 1], 1]], 'hecke_orbit_code': 157625986991529361, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7569.2.a.bj', 'level': 7569, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69799039
{'hecke_orbit_code': 157625986991529361, 'n': 1, 'trace_an': 9}
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id: 69799040
{'hecke_orbit_code': 157625986991529361, 'n': 2, 'trace_an': -5}
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id: 69799041
{'hecke_orbit_code': 157625986991529361, 'n': 3, 'trace_an': 0}
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id: 69799042
{'hecke_orbit_code': 157625986991529361, 'n': 4, 'trace_an': 11}
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id: 69799043
{'hecke_orbit_code': 157625986991529361, 'n': 5, 'trace_an': 4}
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