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{'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, -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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 10867445, 'field_disc_factorization': [[5, 1], [439, 1], [4951, 1]], 'field_poly': [120, -35, -32, 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, [54, -95, -26, 4, 1]], [11, [-6827031, -292452, -586, 100, 1]], [13, [-1040448, 135688, -3968, -44, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966311, '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': '1575.4.a.bg', 'level': 1575, '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, 7], 'level_radical': 105, 'minimal_twist': '175.4.a.g', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(9+\\beta _{2}-\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1575.4.a', 'trace_display': [-4, 0, 0, 28], 'trace_hash': 1120767632376743344, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.900', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '41.606', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '665.584', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [4, -4, 0, 36, 0, 0, 28, -27, 0, 0, -100, 0, 44, -28, 0, 160, 53, 0, -29, 0, 0, -152, -295, 0, 0, -700, 0, 252, -129, 0, 114, 310, 0, 203, 0, 0, 403, -555, 0, 0, -671, 0, -411, -438, 0, -997, 8, 0, 196, 0, 0, 74, -90, 0, 0, -189, 0, 673, -1018, 0, 50, 1626, 0, -2421, 0, 0, 424, 617, 0, 0, -215, 0, -1207, -623, 0, -3257, -700, 0, -951, 0, 0, 1695, 3035, 0, 0, 99, 0, 163, -2819, 0, 308, -3073, 0, -3056, 0, 0, -1100, -196, 0, 0, 332, 0, 478, -4504, 0, 422, -2743, 0, 337, 0, 0, 1120, -2728, 0, 0, -473, 0, 1358, 371, 0, 5848, 4718, 0, -2108, 0, 0, 1929, 1314, 0, 0, -244, 0, -203, 2792, 0, 2499, 501, 0, 4217, 0, 0, 2975, 4580, 0, 0, 2223, 0, 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mf_hecke_cc • Show schema
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'embedding_root_real': 1.5047836367529512, 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966311, 'label': '1575.4.a.bg.1.3', 'level': 1575, 'weight': 4}
-
mf_newspaces • Show schema
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{'ALdims': [16, 10, 14, 18, 19, 22, 23, 21], 'Nk2': 25200, 'analytic_conductor': 92.92800825904146, '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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 696, 'dim': 143, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 67110439, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10], 'label': '1575.4.a', 'level': 1575, '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, 7], 'level_radical': 105, 'mf_dim': 744, 'mf_new_dim': 143, 'num_forms': 47, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 960, 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mf_twists_cc • Show schema
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id: 48797731
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188142966311, 'target_is_minimal': False, 'target_label': '1575.4.a.bg.1.3', 'target_level': 1575, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48797732
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702511, 'target_is_minimal': True, 'target_label': '175.4.a.h.1.2', 'target_level': 175, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48797733
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186279818791, 'target_is_minimal': False, 'target_label': '1575.4.a.bl.1.2', 'target_level': 1575, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48797734
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518066923438255, 'target_is_minimal': False, 'target_label': '175.4.b.f.99.4', 'target_level': 175, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48797735
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 99, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 22518066923438255, 'target_is_minimal': False, 'target_label': '175.4.b.f.99.5', 'target_level': 175, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 48797736
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597831332015, 'target_is_minimal': True, 'target_label': '175.4.a.g.1.3', 'target_level': 175, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48797737
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389260854473, 'target_is_minimal': False, 'target_label': '1225.4.a.bd.1.2', 'target_level': 1225, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 48797738
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 144115188142966311, 'source_is_minimal': False, 'source_label': '1575.4.a.bg.1.3', 'source_level': 1575, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990751372489, 'target_is_minimal': False, 'target_label': '1225.4.a.z.1.3', 'target_level': 1225, 'twist_class_label': '175.4.a.g.1.3', 'twist_class_level': 175, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2050850
{'charpoly_factorization': [[[54, -95, -26, 4, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 2}
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id: 2050851
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188142966311, 'p': 3}
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id: 2050852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 144115188142966311, 'p': 5}
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id: 2050853
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 144115188142966311, 'p': 7}
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id: 2050854
{'charpoly_factorization': [[[-6827031, -292452, -586, 100, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 11}
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id: 2050855
{'charpoly_factorization': [[[-1040448, 135688, -3968, -44, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 13}
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id: 2050856
{'charpoly_factorization': [[[-85632, 204656, -4156, -53, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 17}
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id: 2050857
{'charpoly_factorization': [[[56837320, -338180, -20798, 29, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 19}
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id: 2050858
{'charpoly_factorization': [[[-138903216, -3063547, 5699, 295, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 23}
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id: 2050859
{'charpoly_factorization': [[[18445050, -270845, -13623, 129, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 29}
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id: 2050860
{'charpoly_factorization': [[[44772800, 4261440, -38436, -114, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 31}
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id: 2050861
{'charpoly_factorization': [[[-1237182776, 14613871, -293, -403, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 37}
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id: 2050862
{'charpoly_factorization': [[[-1082974824, 416904, 123436, 671, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 41}
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id: 2050863
{'charpoly_factorization': [[[2143095488, -37663263, -104589, 411, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 43}
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id: 2050864
{'charpoly_factorization': [[[466065552, 23431264, -254472, -8, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 47}
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id: 2050865
{'charpoly_factorization': [[[24137178144, -59711752, -461756, 90, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 53}
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id: 2050866
{'charpoly_factorization': [[[3039063360, 56092000, 367996, 1018, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 59}
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id: 2050867
{'charpoly_factorization': [[[1189016144, -17258968, -185736, -50, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 61}
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id: 2050868
{'charpoly_factorization': [[[-1287279571, 126702520, -285246, -424, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 67}
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id: 2050869
{'charpoly_factorization': [[[2950374906, 44497725, -449623, 215, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 71}
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id: 2050870
{'charpoly_factorization': [[[20054062888, -214856584, 25672, 1207, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 73}
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id: 2050871
{'charpoly_factorization': [[[-178640145850, -740729035, -541099, 951, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 79}
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id: 2050872
{'charpoly_factorization': [[[194459351136, -1357600820, 3201042, -3035, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 83}
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id: 2050873
{'charpoly_factorization': [[[151094328480, 1079389980, 2711242, 2819, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 89}
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id: 2050874
{'charpoly_factorization': [[[-802513451424, -4217107480, -3025632, 1100, 1], 1]], 'hecke_orbit_code': 144115188142966311, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '1575.4.a.bg', 'level': 1575, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 69228085
{'hecke_orbit_code': 144115188142966311, 'n': 1, 'trace_an': 4}
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id: 69228086
{'hecke_orbit_code': 144115188142966311, 'n': 2, 'trace_an': -4}
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id: 69228087
{'hecke_orbit_code': 144115188142966311, 'n': 3, 'trace_an': 0}
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id: 69228088
{'hecke_orbit_code': 144115188142966311, 'n': 4, 'trace_an': 36}
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id: 69228089
{'hecke_orbit_code': 144115188142966311, 'n': 5, 'trace_an': 0}
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id: 69228090
{'hecke_orbit_code': 144115188142966311, 'n': 6, 'trace_an': 0}
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id: 69228091
{'hecke_orbit_code': 144115188142966311, 'n': 7, 'trace_an': 28}
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id: 69228092
{'hecke_orbit_code': 144115188142966311, 'n': 8, 'trace_an': -27}
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id: 69228093
{'hecke_orbit_code': 144115188142966311, 'n': 9, 'trace_an': 0}
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id: 69228094
{'hecke_orbit_code': 144115188142966311, 'n': 10, 'trace_an': 0}
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id: 69228095
{'hecke_orbit_code': 144115188142966311, 'n': 11, 'trace_an': -100}
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id: 69228096
{'hecke_orbit_code': 144115188142966311, 'n': 12, 'trace_an': 0}
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id: 69228097
{'hecke_orbit_code': 144115188142966311, 'n': 13, 'trace_an': 44}
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id: 69228098
{'hecke_orbit_code': 144115188142966311, 'n': 14, 'trace_an': -28}
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id: 69228099
{'hecke_orbit_code': 144115188142966311, 'n': 15, 'trace_an': 0}
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id: 69228100
{'hecke_orbit_code': 144115188142966311, 'n': 16, 'trace_an': 160}
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id: 69228101
{'hecke_orbit_code': 144115188142966311, 'n': 17, 'trace_an': 53}
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id: 69228102
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