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mf_newforms • Show schema
{'Nk2': 9100, 'analytic_conductor': 18.165966459841286, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [7, 1], [13, -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': [2275, 1, [1002, 976, 1926], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 319498492, 'field_disc_factorization': [[2, 2], [4049, 1], [19727, 1]], 'field_poly': [-2, -6, 5, 16, -2, -8, 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, [-2, -6, 5, 16, -2, -8, 0, 1]], [3, [8, -26, -26, 27, 14, -9, -2, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090448611, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2275.2.a.y', 'level': 2275, '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': [5, 7, 13], 'level_radical': 455, 'minimal_twist': '455.2.c.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{4}q^{3}+\\beta _{2}q^{4}+(-1-\\beta _{2}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2275.2.a', 'trace_display': [0, 2, 0, -7], 'trace_hash': 1412181356121259992, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.414', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '121.168', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3565.299', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [7, 0, 2, 2, 0, -8, -7, 6, 1, 0, -6, -3, 7, 0, 0, -4, -2, 1, -10, 0, -2, -18, -10, -5, 0, 0, 8, -2, -26, 0, -6, 7, -4, -1, 0, -6, 4, 1, 2, 0, -28, 8, -2, 0, 0, -18, 20, -20, 7, 0, -32, 2, -8, 11, 0, -6, -14, 12, -28, 0, -26, 22, -1, -8, 0, 2, -2, 2, -22, 0, -14, -4, 2, -12, 0, -36, 6, -8, 14, 0, -33, -19, 28, 3, 0, -4, -22, -24, -30, 0, -7, -42, -2, 14, 0, 0, 18, 0, -18, 0, -60, -21, 24, 6, 0, -36, 14, -7, -20, 0, 22, 4, -44, 29, 0, -21, 1, 20, 2, 0, -13, 0, 20, 7, 0, -1, -38, -14, -2, 0, -32, 66, 10, -23, 0, -12, 12, 42, -18, 0, -22, 28, -6, 21, 0, 10, 2, -43, -52, 0, -6, 22, -12, 18, 0, -3, -10, 79, -14, 0, 10, -31, -14, 8, 0, 24, 20, 5, 7, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'ALdims': [14, 16, 13, 11, 16, 12, 14, 18], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [16, 22, 22, 21, 20, 19, 20, 15], 'Nk2': 9100, 'analytic_conductor': 18.165966459841286, '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': [2275, 1, [1002, 976, 1926], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 269, 'dim': 114, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33556707, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 10, 10], 'label': '2275.2.a', 'level': 2275, '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': [5, 7, 13], 'level_radical': 455, 'mf_dim': 292, 'mf_new_dim': 114, 'num_forms': 28, 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-260, 8, 72, 60, 0, 32, 144, -312, 72, 0, 20, 292, 86, 404, 0, -70, -36, 88, 140, 0, 380, 392, -52, -20, 0, 284, 70, 232, 364, 0, 290, -304, -116, 340, 0, -40, 104, 512, 144, 0, -36, 224, -8, -24, 0, -152, -312, 424, 132, 0, 0, -396, 136, -684, 0, -100, -352, -56, -48, 0, -20, -108, 320, -528, 0, -220, -216, -52, -46, 0, -8, 116, -254, -44, 0, 16, 308, 264, -4, 0, 220, 48, 72, -44, 0, -60, -184, -4, 180, 0, -28, 820, 8, -196, 0, -264, 28, 56, -160, 0, 388, 564, -192, -208, 0, 36, 52, 48, -198, 0, 32, 448, -224, -68, 0, -84, 200, -32, 200, 0], 'weight': 2, 'weight_parity': 1} -
mf_twists_cc • Show schema
-
id: 48523577
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 108086391090448611, 'source_is_minimal': False, 'source_label': '2275.2.a.y.1.7', 'source_level': 2275, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 7, 'target_hecke_orbit_code': 108086391090448611, 'target_is_minimal': False, 'target_label': '2275.2.a.y.1.7', 'target_level': 2275, 'twist_class_label': '455.2.c.b.274.1', 'twist_class_level': 455, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48523578
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 108086391090448611, 'source_is_minimal': False, 'source_label': '2275.2.a.y.1.7', 'source_level': 2275, 'target_conrey_index': 274, 'target_dim': 14, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4503737099878855, 'target_is_minimal': True, 'target_label': '455.2.c.b.274.14', 'target_level': 455, 'twist_class_label': '455.2.c.b.274.1', 'twist_class_level': 455, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 48523579
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 108086391090448611, 'source_is_minimal': False, 'source_label': '2275.2.a.y.1.7', 'source_level': 2275, 'target_conrey_index': 274, 'target_dim': 14, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878855, 'target_is_minimal': True, 'target_label': '455.2.c.b.274.1', 'target_level': 455, 'twist_class_label': '455.2.c.b.274.1', 'twist_class_level': 455, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 48523580
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 7, 'source_hecke_orbit_code': 108086391090448611, 'source_is_minimal': False, 'source_label': '2275.2.a.y.1.7', 'source_level': 2275, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835707619, 'target_is_minimal': False, 'target_label': '2275.2.a.w.1.1', 'target_level': 2275, 'twist_class_label': '455.2.c.b.274.1', 'twist_class_level': 455, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 48523577
-
mf_hecke_charpolys • Show schema
-
id: 2540875
{'charpoly_factorization': [[[-2, -6, 5, 16, -2, -8, 0, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 2} -
id: 2540876
{'charpoly_factorization': [[[8, -26, -26, 27, 14, -9, -2, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 3} -
id: 2540877
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 108086391090448611, 'p': 5} -
id: 2540878
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 108086391090448611, 'p': 7} -
id: 2540879
{'charpoly_factorization': [[[-512, -96, 416, 72, -96, -14, 6, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 11} -
id: 2540880
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 108086391090448611, 'p': 13} -
id: 2540881
{'charpoly_factorization': [[[-4, -14, 68, 167, -126, -47, 2, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 17} -
id: 2540882
{'charpoly_factorization': [[[15782, 17853, 3944, -1484, -622, -32, 10, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 19} -
id: 2540883
{'charpoly_factorization': [[[12832, 30576, 16248, 108, -878, -71, 10, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 23} -
id: 2540884
{'charpoly_factorization': [[[302, -1435, -32, 1848, 1094, 252, 26, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 29} -
id: 2540885
{'charpoly_factorization': [[[-43898, -21175, 7912, 2728, -390, -100, 6, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 31} -
id: 2540886
{'charpoly_factorization': [[[-29668, -33038, 788, 3959, 120, -125, -4, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 37} -
id: 2540887
{'charpoly_factorization': [[[-46208, -114608, -86840, -20771, -1188, 193, 28, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 41} -
id: 2540888
{'charpoly_factorization': [[[-22432, -9040, 10808, 5012, -222, -151, 2, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 43} -
id: 2540889
{'charpoly_factorization': [[[-2048, 4864, 3776, -8672, 1728, 9, -20, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 47} -
id: 2540890
{'charpoly_factorization': [[[95552, 148272, 53008, 2192, -1400, -139, 8, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 53} -
id: 2540891
{'charpoly_factorization': [[[54848, -279376, -205626, -48419, -3840, 103, 28, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 59} -
id: 2540892
{'charpoly_factorization': [[[-1967744, 433856, 140480, -13504, -3488, 24, 26, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 61} -
id: 2540893
{'charpoly_factorization': [[[-621536, -1443340, 92948, 44685, -950, -389, 2, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 67} -
id: 2540894
{'charpoly_factorization': [[[794624, 813568, 225152, 2272, -4648, -282, 14, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 71} -
id: 2540895
{'charpoly_factorization': [[[14816, 55888, -49640, 6164, 1294, -223, -2, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 73} -
id: 2540896
{'charpoly_factorization': [[[-436112, -225679, 20586, 24094, 2130, -262, -14, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 79} -
id: 2540897
{'charpoly_factorization': [[[-29530048, 11009072, -964464, -63392, 11624, -191, -28, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 83} -
id: 2540898
{'charpoly_factorization': [[[32188, 941401, 138682, -35138, -5642, 26, 30, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 89} -
id: 2540899
{'charpoly_factorization': [[[1139296, -319792, -106128, 14792, 2854, -179, -18, 1], 1]], 'hecke_orbit_code': 108086391090448611, 'p': 97}
-
id: 2540875
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '2275.2.a.y', 'level': 2275, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 66305203
{'hecke_orbit_code': 108086391090448611, 'n': 1, 'trace_an': 7} -
id: 66305204
{'hecke_orbit_code': 108086391090448611, 'n': 2, 'trace_an': 0} -
id: 66305205
{'hecke_orbit_code': 108086391090448611, 'n': 3, 'trace_an': 2} -
id: 66305206
{'hecke_orbit_code': 108086391090448611, 'n': 4, 'trace_an': 2} -
id: 66305207
{'hecke_orbit_code': 108086391090448611, 'n': 5, 'trace_an': 0} -
id: 66305208
{'hecke_orbit_code': 108086391090448611, 'n': 6, 'trace_an': -8} -
id: 66305209
{'hecke_orbit_code': 108086391090448611, 'n': 7, 'trace_an': -7} -
id: 66305210
{'hecke_orbit_code': 108086391090448611, 'n': 8, 'trace_an': 6} -
id: 66305211
{'hecke_orbit_code': 108086391090448611, 'n': 9, 'trace_an': 1} -
id: 66305212
{'hecke_orbit_code': 108086391090448611, 'n': 10, 'trace_an': 0} -
id: 66305213
{'hecke_orbit_code': 108086391090448611, 'n': 11, 'trace_an': -6} -
id: 66305214
{'hecke_orbit_code': 108086391090448611, 'n': 12, 'trace_an': -3} -
id: 66305215
{'hecke_orbit_code': 108086391090448611, 'n': 13, 'trace_an': 7} -
id: 66305216
{'hecke_orbit_code': 108086391090448611, 'n': 14, 'trace_an': 0} -
id: 66305217
{'hecke_orbit_code': 108086391090448611, 'n': 15, 'trace_an': 0} -
id: 66305218
{'hecke_orbit_code': 108086391090448611, 'n': 16, 'trace_an': -4} -
id: 66305219
{'hecke_orbit_code': 108086391090448611, 'n': 17, 'trace_an': -2} -
id: 66305220
{'hecke_orbit_code': 108086391090448611, 'n': 18, 'trace_an': 1} -
id: 66305221
{'hecke_orbit_code': 108086391090448611, 'n': 19, 'trace_an': -10} -
id: 66305222
{'hecke_orbit_code': 108086391090448611, 'n': 20, 'trace_an': 0} -
id: 66305223
{'hecke_orbit_code': 108086391090448611, 'n': 21, 'trace_an': -2} -
id: 66305224
{'hecke_orbit_code': 108086391090448611, 'n': 22, 'trace_an': -18} -
id: 66305225
{'hecke_orbit_code': 108086391090448611, 'n': 23, 'trace_an': -10} -
id: 66305226
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Embedded newform data - 2275.2.a.y.1.7