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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [31, 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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 144209, 'field_disc_factorization': [[13, 1], [11093, 1]], 'field_poly': [-1, 6, -1, -6, 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': 0, 'hecke_cutters': [[2, [-3, -8, 13, 0, -4, 1]], [7, [27, 25, -13, -11, 2, 1]], [11, [233, 295, 41, -37, -2, 1]], [13, [153, 173, -67, -25, 4, 1]], [17, [59, 346, -365, 129, -19, 1]], [29, [8711, 1644, -498, -87, 6, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402086207, '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': '6975.2.a.by', 'level': 6975, '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, 31], 'level_radical': 465, 'minimal_twist': '775.2.a.h', 'nf_label': '5.5.144209.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{3})q^{2}+(1-\\beta _{1}-\\beta _{3}-\\beta _{4})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6975.2.a', 'trace_display': 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'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.4384801825695188, 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402086207, 'label': '6975.2.a.by.1.1', 'level': 6975, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 26, 30, 18, 35, 32, 35, 41], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [89, 100, 90, 96, 91, 76, 79, 79], 'Nk2': 27900, 'analytic_conductor': 55.69565540984307, '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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 237, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13, 17, 29], 'hecke_orbit_code': 33561407, '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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 10, 11, 11, 16], 'label': '6975.2.a', 'level': 6975, '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, 31], 'level_radical': 465, 'mf_dim': 984, 'mf_new_dim': 237, 'num_forms': 63, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 237, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [237, 0, 0, 238, 0, 0, 0, -3, 0, 0, 0, 0, 0, -7, 0, 248, -8, 0, 4, 0, 0, 6, 6, 0, 0, 36, 0, 9, 32, 0, -3, -6, 0, 16, 0, 0, -2, -7, 0, 0, 0, 0, 30, 42, 0, 26, -28, 0, 211, 0, 0, 6, 6, 0, 0, 6, 0, 10, -28, 0, 12, -4, 0, 317, 0, 0, 48, 18, 0, 0, 36, 0, 14, -20, 0, 9, 24, 0, -18, 0, 0, 11, -12, 0, 0, 20, 0, 28, 20, 0, -14, 8, 0, -40, 0, 0, -4, 7, 0, 0, 48, 0, 0, 68, 0, 62, 52, 0, 20, 0, 0, 21, -44, 0, 0, 88, 0, -5, 10, 0, 273, -36, 0, -6, 0, 0, 8, -40, 0, 0, 72, 0, -2, -24, 0, 20, 8, 0, 60, 0, 0, -49, -20, 0, 0, -60, 0, 108, 138, 0, -42, -30, 0, 82, 0, 0, -32, 100, 0, 0, -42, 0, 20, 29, 0, -54, 112, 0, 255, 0, 0, 46, -14, 0, 0, 102, 0, 42, -6, 0, 36, -78, 0, 42, 0, 0, -24, -4, 0, 0, 104, 0, 64, 33, 0, 303, -42, 0, 16, 0, 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-677, 0, -8, -252, 0, 148, 0, 0, 530, 52, 0, 0, 110, 0, 33, -2, 0, 237, -88, 0, -304, 0, 0, -44, -407, 0, 0, 172, 0, 112, -150, 0, -668, -8, 0, -72, 0, 0, -132, 112, 0, 0, -436, 0, 112, 196, 0, -42, -14, 0, -527, 0, 0, 248, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49043162
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402086207, 'target_is_minimal': False, 'target_label': '6975.2.a.by.1.1', 'target_level': 6975, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49043163
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 31525197425148679, 'target_is_minimal': True, 'target_label': '775.2.a.h.1.5', 'target_level': 775, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49043164
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 184647584755751743, 'target_is_minimal': False, 'target_label': '6975.2.a.bp.1.5', 'target_level': 6975, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49043165
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 249, 'target_dim': 10, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021666517254919, 'target_is_minimal': False, 'target_label': '775.2.b.g.249.8', 'target_level': 775, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49043166
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 249, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021666517254919, 'target_is_minimal': False, 'target_label': '775.2.b.g.249.3', 'target_level': 775, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49043167
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 225179981402086207, 'source_is_minimal': False, 'source_label': '6975.2.a.by.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260167, 'target_is_minimal': True, 'target_label': '775.2.a.k.1.1', 'target_level': 775, 'twist_class_label': '775.2.a.h.1.5', 'twist_class_level': 775, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4342700
{'charpoly_factorization': [[[-3, -8, 13, 0, -4, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 2}
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id: 4342701
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 225179981402086207, 'p': 3}
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id: 4342702
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 225179981402086207, 'p': 5}
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id: 4342703
{'charpoly_factorization': [[[27, 25, -13, -11, 2, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 7}
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id: 4342704
{'charpoly_factorization': [[[233, 295, 41, -37, -2, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 11}
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id: 4342705
{'charpoly_factorization': [[[153, 173, -67, -25, 4, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 13}
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id: 4342706
{'charpoly_factorization': [[[59, 346, -365, 129, -19, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 17}
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id: 4342707
{'charpoly_factorization': [[[59, -144, 94, -3, -8, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 19}
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id: 4342708
{'charpoly_factorization': [[[-503, -924, 366, 3, -12, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 23}
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id: 4342709
{'charpoly_factorization': [[[8711, 1644, -498, -87, 6, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 29}
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id: 4342710
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 225179981402086207, 'p': 31}
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id: 4342711
{'charpoly_factorization': [[[-4369, -4056, -911, 0, 16, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 37}
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id: 4342712
{'charpoly_factorization': [[[507, 2093, 299, -127, -2, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 41}
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id: 4342713
{'charpoly_factorization': [[[17, 265, -43, -40, 1, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 43}
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id: 4342714
{'charpoly_factorization': [[[291, 982, 578, -91, -8, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 47}
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id: 4342715
{'charpoly_factorization': [[[-389, -443, 529, -102, -3, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 53}
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id: 4342716
{'charpoly_factorization': [[[-15079, 4762, 523, -142, -4, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 59}
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id: 4342717
{'charpoly_factorization': [[[-3, 16, -3, -29, 5, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 61}
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id: 4342718
{'charpoly_factorization': [[[124659, 8019, -3159, -234, 13, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 67}
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id: 4342719
{'charpoly_factorization': [[[-57279, 22130, -466, -279, 6, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 71}
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id: 4342720
{'charpoly_factorization': [[[3291, -5153, -1554, -11, 19, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 73}
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id: 4342721
{'charpoly_factorization': [[[1873, 990, -135, -84, 6, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 79}
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id: 4342722
{'charpoly_factorization': [[[1983, 2789, 805, -33, -18, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 83}
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id: 4342723
{'charpoly_factorization': [[[-729, 3835, -1884, 361, -31, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 89}
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id: 4342724
{'charpoly_factorization': [[[-25961, 10613, 476, -271, -1, 1], 1]], 'hecke_orbit_code': 225179981402086207, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '6975.2.a.by', 'level': 6975, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71598073
{'hecke_orbit_code': 225179981402086207, 'n': 1, 'trace_an': 5}
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id: 71598074
{'hecke_orbit_code': 225179981402086207, 'n': 2, 'trace_an': 4}
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id: 71598075
{'hecke_orbit_code': 225179981402086207, 'n': 3, 'trace_an': 0}
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id: 71598076
{'hecke_orbit_code': 225179981402086207, 'n': 4, 'trace_an': 6}
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id: 71598077
{'hecke_orbit_code': 225179981402086207, 'n': 5, 'trace_an': 0}
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id: 71598078
{'hecke_orbit_code': 225179981402086207, 'n': 6, 'trace_an': 0}
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id: 71598079
{'hecke_orbit_code': 225179981402086207, 'n': 7, 'trace_an': -2}
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id: 71598080
{'hecke_orbit_code': 225179981402086207, 'n': 8, 'trace_an': 9}
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id: 71598081
{'hecke_orbit_code': 225179981402086207, 'n': 9, 'trace_an': 0}
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id: 71598082
{'hecke_orbit_code': 225179981402086207, 'n': 10, 'trace_an': 0}
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id: 71598083
{'hecke_orbit_code': 225179981402086207, 'n': 11, 'trace_an': 2}
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id: 71598084
{'hecke_orbit_code': 225179981402086207, 'n': 12, 'trace_an': 0}
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id: 71598085
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