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{'Nk2': 26100, 'analytic_conductor': 52.10238731888545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [7, [-3, 1]], [11, [-19, -2, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326229885, 'hecke_ring_generator_nbound': 2, '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': '6525.2.a.s', 'level': 6525, '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, 5, 29], 'level_radical': 435, 'minimal_twist': '435.2.a.e', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(-1+\\beta )q^{4}+3q^{7}+(-1+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6525.2.a', 'trace_display': [-1, 0, 0, 6], 'trace_hash': 2075629998339506427, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.044', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.378', 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mf_newspaces • Show schema
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{'ALdims': [21, 21, 23, 23, 33, 30, 32, 38], 'Nk2': 26100, 'analytic_conductor': 52.10238731888545, '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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 877, 'dim': 221, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33560957, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 12, 12], 'label': '6525.2.a', 'level': 6525, '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, 5, 29], 'level_radical': 435, 'mf_dim': 924, 'mf_new_dim': 221, 'num_forms': 58, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 221, 'sturm_bound': 1800, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -4], 'traces': [221, -1, 0, 223, 0, 0, -4, -9, 0, 0, -2, 0, -4, -24, 0, 227, -10, 0, -4, 0, 0, 6, 4, 0, 0, -8, 0, -24, 3, 0, -6, -9, 0, -2, 0, 0, -6, -8, 0, 0, -2, 0, 26, 10, 0, 20, -14, 0, 189, 0, 0, 28, 20, 0, 0, -48, 0, 1, -36, 0, 6, 10, 0, 223, 0, 0, 0, -46, 0, 0, -76, 0, 26, -2, 0, -44, -44, 0, -30, 0, 0, 22, -36, 0, 0, -90, 0, -26, -30, 0, -52, 20, 0, -74, 0, 0, -14, 23, 0, 0, 10, 0, -32, 8, 0, -36, -12, 0, 68, 0, 0, -48, 2, 0, 0, 9, 0, 4, 56, 0, 267, 50, 0, -190, 0, 0, -28, -145, 0, 0, 32, 0, 20, 48, 0, -26, 26, 0, 8, 0, 0, -64, 46, 0, 0, -74, 0, 34, -24, 0, -96, 44, 0, 20, 0, 0, 38, 26, 0, 0, -40, 0, 22, 78, 0, -84, 48, 0, 233, 0, 0, 86, 90, 0, 0, -58, 0, 74, -92, 0, 68, -52, 0, -40, 0, 0, 44, -38, 0, 0, 36, 0, -50, 106, 0, 279, -34, 0, 20, 0, 0, 110, -8, 0, 0, 172, 0, 80, -140, 0, 30, 56, 0, 84, 0, 0, -4, 8, 0, 0, 16, 0, -40, 36, 0, -94, -36, 0, -18, 0, 0, -3, 88, 0, 0, 12, 0, 76, 16, 0, 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0, -236, 0, 0, 38, 338, 0, 0, 34, 0, -204, 176, 0, -404, 38, 0, -384, 0, 0, 102, -580, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48195460
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326229885, 'target_is_minimal': False, 'target_label': '6525.2.a.s.1.2', 'target_level': 6525, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48195461
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071484543, 'target_is_minimal': False, 'target_label': '2175.2.a.q.1.1', 'target_level': 2175, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48195462
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260697, 'target_is_minimal': False, 'target_label': '1305.2.a.k.1.1', 'target_level': 1305, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48195463
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534118844543, 'target_is_minimal': False, 'target_label': '2175.2.c.j.349.2', 'target_level': 2175, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48195464
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 349, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532534118844543, 'target_is_minimal': False, 'target_label': '2175.2.c.j.349.3', 'target_level': 2175, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48195465
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036851, 'target_is_minimal': True, 'target_label': '435.2.a.e.1.2', 'target_level': 435, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48195466
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326229885, 'source_is_minimal': False, 'source_label': '6525.2.a.s.1.2', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892604208, 'target_is_minimal': False, 'target_label': '6960.2.a.bu.1.2', 'target_level': 6960, 'twist_class_label': '435.2.a.e.1.2', 'twist_class_level': 435, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4213000
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 2}
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id: 4213001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 3}
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id: 4213002
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 5}
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id: 4213003
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 7}
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id: 4213004
{'charpoly_factorization': [[[-19, -2, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 11}
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id: 4213005
{'charpoly_factorization': [[[11, -8, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 13}
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id: 4213006
{'charpoly_factorization': [[[-19, 2, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 17}
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id: 4213007
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 19}
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id: 4213008
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 23}
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id: 4213009
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 29}
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id: 4213010
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 31}
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id: 4213011
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 37}
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id: 4213012
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 41}
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id: 4213013
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 43}
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id: 4213014
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 47}
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id: 4213015
{'charpoly_factorization': [[[76, 18, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 53}
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id: 4213016
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 59}
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id: 4213017
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 61}
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id: 4213018
{'charpoly_factorization': [[[29, -14, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 67}
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id: 4213019
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 71}
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id: 4213020
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 81064793326229885, 'p': 73}
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id: 4213021
{'charpoly_factorization': [[[-100, -10, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 79}
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id: 4213022
{'charpoly_factorization': [[[-36, -6, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 83}
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id: 4213023
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 89}
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id: 4213024
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 81064793326229885, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '6525.2.a.s', 'level': 6525, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63173599
{'hecke_orbit_code': 81064793326229885, 'n': 1, 'trace_an': 2}
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id: 63173600
{'hecke_orbit_code': 81064793326229885, 'n': 2, 'trace_an': -1}
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id: 63173601
{'hecke_orbit_code': 81064793326229885, 'n': 3, 'trace_an': 0}
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id: 63173602
{'hecke_orbit_code': 81064793326229885, 'n': 4, 'trace_an': -1}
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id: 63173603
{'hecke_orbit_code': 81064793326229885, 'n': 5, 'trace_an': 0}
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id: 63173604
{'hecke_orbit_code': 81064793326229885, 'n': 6, 'trace_an': 0}
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id: 63173605
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