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mf_newforms • Show schema
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{'Nk2': 1660, 'analytic_conductor': 3.313791683883136, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [83, 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': [415, 1, [167, 251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 11, 'field_disc': 58443275550947990609, 'field_disc_factorization': [[20443, 1], [2858840461328963, 1]], 'field_poly': [-8, -100, 136, 567, -76, -464, 15, 146, -1, -20, 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, [-8, -100, 136, 567, -76, -464, 15, 146, -1, -20, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036831, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '415.2.a.e', 'level': 415, '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': True, 'level_primes': [5, 83], 'level_radical': 415, 'minimal_twist': '415.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{7}q^{3}+(2+\\beta _{2})q^{4}+q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 11, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '415.2.a', 'trace_display': [0, 0, 11, -3], 'trace_hash': 883633418997237869, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [7, 6, 12, 2], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1], 'ALdims_old': [1, 6, 1, 6], 'Nk2': 1660, 'analytic_conductor': 3.313791683883136, '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': [415, 1, [167, 251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 41, 'dim': 27, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554847, 'hecke_orbit_dims': [1, 2, 6, 7, 11], 'label': '415.2.a', 'level': 415, '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': True, 'level_primes': [5, 83], 'level_radical': 415, 'mf_dim': 44, 'mf_new_dim': 27, 'num_forms': 5, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 27, 'sturm_bound': 84, 'trace_bound': 1, 'trace_display': [-1, 0, 1, -8], 'traces': [27, -1, 0, 25, 1, 0, -8, 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-14, 226, -4, 4, 324, -134, -192, -88, 28, -58, -489, -152, -136, -132, -216, -16, -4, -70, -54, -90, 20, -288, -252, -28, 112, 48, 362, 114, 49, 68, -360, 304, -2, -26, -108, 152, 24, -194, -56, -48, 104, 0, -230, -36, 200, -80, -404, 180, -44, -92, -46, -104, -200, -34, -220, 4, -22, 10, 116, -56, -362, -144, 242, 32, 200, 206, -216, 170, -14, 238, -32, 222, -88, 56, -150, 20, 336, -40, 20, 266, 380, 106, -140, -32, -108, -244, 236, -144, 164, 299, 44, 96, 88, 82, 376, 32, -37, -168, -10, 184, -48, -228, 26, -16, -68, 190, 272, -144, 175, -132, 36, -116, -432, 30, -68, 252, -352, -92, 198, 4, 184, 20, 32, 0, 28, 34, 40, 262, 9], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43875910
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543036831, 'source_is_minimal': True, 'source_label': '415.2.a.e.1.7', 'source_level': 415, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014398543036831, 'target_is_minimal': True, 'target_label': '415.2.a.e.1.7', 'target_level': 415, 'twist_class_label': '415.2.a.e.1.7', 'twist_class_level': 415, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43875911
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543036831, 'source_is_minimal': True, 'source_label': '415.2.a.e.1.7', 'source_level': 415, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 5, 'target_hecke_orbit_code': 81064793326227095, 'target_is_minimal': False, 'target_label': '3735.2.a.s.1.5', 'target_level': 3735, 'twist_class_label': '415.2.a.e.1.7', 'twist_class_level': 415, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43875912
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543036831, 'source_is_minimal': True, 'source_label': '415.2.a.e.1.7', 'source_level': 415, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364157936, 'target_is_minimal': False, 'target_label': '6640.2.a.bi.1.3', 'target_level': 6640, 'twist_class_label': '415.2.a.e.1.7', 'twist_class_level': 415, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43875913
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 11, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543036831, 'source_is_minimal': True, 'source_label': '415.2.a.e.1.7', 'source_level': 415, 'target_conrey_index': 1, 'target_dim': 11, 'target_embedding_index': 5, 'target_hecke_orbit_code': 45035996307261467, 'target_is_minimal': False, 'target_label': '2075.2.a.k.1.5', 'target_level': 2075, 'twist_class_label': '415.2.a.e.1.7', 'twist_class_level': 415, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 856200
{'charpoly_factorization': [[[-8, -100, 136, 567, -76, -464, 15, 146, -1, -20, 0, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 2}
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id: 856201
{'charpoly_factorization': [[[64, -1008, -448, 1712, 362, -1041, -71, 258, 4, -27, 0, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 3}
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id: 856202
{'charpoly_factorization': [[[-1, 1], 11]], 'hecke_orbit_code': 18014398543036831, 'p': 5}
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id: 856203
{'charpoly_factorization': [[[1024, 10640, -34872, 25460, 3974, -8499, 664, 968, -97, -50, 3, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 7}
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id: 856204
{'charpoly_factorization': [[[-26896, 113756, -162888, 75983, 19366, -21282, 67, 1991, -49, -76, 1, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 11}
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id: 856205
{'charpoly_factorization': [[[-23296, 56960, 283536, 170244, -34976, -36217, 615, 2724, 43, -88, -1, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 13}
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id: 856206
{'charpoly_factorization': [[[224, -3968, 11768, 44624, -66250, -13283, 17999, -2084, -916, 277, -28, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 17}
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id: 856207
{'charpoly_factorization': [[[-25600, 69888, -27392, -82176, 96032, -28544, -5136, 3036, 0, -95, 2, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 19}
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id: 856208
{'charpoly_factorization': [[[-2873344, -2366528, 2544368, 1920752, -138684, -214052, -173, 9109, 90, -162, -1, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 23}
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id: 856209
{'charpoly_factorization': [[[-16787050, 9700139, 5060034, -3895185, 42993, 336913, -40772, -9155, 1764, 35, -21, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 29}
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id: 856210
{'charpoly_factorization': [[[178968640, 220945137, 91859073, 8084095, -4147265, -928960, 40927, 22992, 258, -242, -4, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 31}
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id: 856211
{'charpoly_factorization': [[[224, -11072, -18272, 17416, 53160, 39467, 10467, -582, -712, -63, 10, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 37}
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id: 856212
{'charpoly_factorization': [[[-306688256, 11575136, 88079132, -8064948, -7765523, 1180897, 206096, -51490, 1258, 432, -39, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 41}
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id: 856213
{'charpoly_factorization': [[[114398720, -120891232, 21621128, 13091484, -3604720, -521755, 152341, 12798, -2507, -190, 13, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 43}
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id: 856214
{'charpoly_factorization': [[[262144, 2454272, 6602784, 5293904, -162160, -568536, -33564, 17227, 1066, -213, -8, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 47}
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id: 856215
{'charpoly_factorization': [[[2720, -27808, -102656, 30068, 251446, 81791, -44675, -8132, 2453, -20, -21, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 53}
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id: 856216
{'charpoly_factorization': [[[-6278092, 18991105, -15360362, 638297, 2470761, -391145, -97176, 16783, 1318, -237, -5, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 59}
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id: 856217
{'charpoly_factorization': [[[-101918, -760009, -1271243, -143829, 779017, 154908, -134727, 866, 3530, -210, -14, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 61}
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id: 856218
{'charpoly_factorization': [[[-143897920, -152952528, -21939328, 22420348, 8176838, 179735, -295738, -40524, 1000, 570, 42, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 67}
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id: 856219
{'charpoly_factorization': [[[-501760, 4480768, -6632320, 2392256, 531232, -326912, -15688, 14036, 370, -211, -3, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 71}
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id: 856220
{'charpoly_factorization': [[[-1549568, -6145040, 401264, 6195844, 623042, -1410761, -60921, 40392, 839, -364, -3, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 73}
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id: 856221
{'charpoly_factorization': [[[16744448, 30394368, 8117248, -9064576, -3163168, 576528, 220048, -2332, -3996, -137, 20, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 79}
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id: 856222
{'charpoly_factorization': [[[1, 1], 11]], 'hecke_orbit_code': 18014398543036831, 'p': 83}
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id: 856223
{'charpoly_factorization': [[[1570816, -2184960, -1148672, 2138944, -333120, -437984, 211592, -32312, 200, 407, -37, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 89}
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id: 856224
{'charpoly_factorization': [[[5595205504, 14344573456, 7028557528, 521162956, -151311508, -17836089, 1098484, 172046, -3004, -688, 2, 1], 1]], 'hecke_orbit_code': 18014398543036831, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '415.2.a.e', 'level': 415, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37894243
{'hecke_orbit_code': 18014398543036831, 'n': 1, 'trace_an': 11}
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id: 37894244
{'hecke_orbit_code': 18014398543036831, 'n': 2, 'trace_an': 0}
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id: 37894245
{'hecke_orbit_code': 18014398543036831, 'n': 3, 'trace_an': 0}
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id: 37894246
{'hecke_orbit_code': 18014398543036831, 'n': 4, 'trace_an': 18}
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id: 37894247
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