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{'Nk2': 18392, 'analytic_conductor': 36.71521484938472, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, 1], [19, 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': [4598, 1, [3269, 3631], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 4128916275200000, 'field_disc_factorization': [[2, 18], [5, 5], [5040181, 1]], 'field_poly': [44, -392, 176, 512, -270, -220, 118, 36, -19, -2, 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': [[3, [44, -392, 176, 512, -270, -220, 118, 36, -19, -2, 1]], [5, [349, 1191, 591, -1062, -635, 369, 191, -56, -23, 3, 1]], [7, [-59, -351, -329, 856, 809, -307, -449, -88, 27, 11, 1]], [13, [1984, -1216, -6912, 576, 6152, 1480, -940, -356, -1, 11, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911565814, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4598.2.a.cc', 'level': 4598, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.f.h', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{3}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4598.2.a', 'trace_display': [-10, 2, -3, -11], 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 23, 5], [[[2, -1], [11, -1], [19, -1]], 26, 9], [[[2, 1], [11, -1], [19, -1]], 19, 7], [[[2, 1], [11, -1], [19, 1]], 24, 14], [[[2, -1], [11, 1], [19, 1]], 25, 6], [[[2, 1], [11, 1], [19, 1]], 16, 3], [[[2, -1], [11, 1], [19, -1]], 14, 6], [[[2, -1], [11, -1], [19, 1]], 16, 6]], 'ALdims': [16, 23, 24, 19, 25, 14, 16, 26], 'Nk2': 18392, 'analytic_conductor': 36.71521484938472, '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': [4598, 1, [3269, 3631], [1, 1]], 'conrey_index': 1, 'cusp_dim': 637, 'dim': 163, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33559030, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4598.2.a', 'level': 4598, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 684, 'mf_new_dim': 163, 'num_forms': 56, 'plus_dim': 65, 'prim_orbit_index': 1, 'relative_dim': 163, 'sturm_bound': 1320, 'trace_bound': 13, 'trace_display': [-1, 4, 2, 6], 'traces': [163, -1, 4, 163, 2, -2, 6, -1, 169, -2, 0, 4, -2, -4, 20, 163, 8, 3, 1, 2, 20, 0, 22, -2, 173, -4, 16, 6, -10, -12, 28, -1, 0, -2, 20, 169, 26, -3, 38, -2, 6, -10, 8, 0, 30, -12, 20, 4, 177, -15, 32, -2, 30, -14, 0, -4, 2, -4, -4, 20, 2, 4, 40, 163, -16, 0, 20, 8, 4, 36, 36, 3, 12, -6, 28, 1, 0, 44, 36, 2, 219, 6, -8, 20, -40, 24, 14, 0, 66, 2, 40, 22, 12, -8, 2, -2, -14, 15, 0, 173, 14, 42, 48, -4, -36, -24, -12, 16, 22, 0, 4, 6, -14, -4, 20, -10, -22, -10, -34, -12, 0, -70, 0, 28, -72, 8, 4, -1, -12, -116, -16, 0, 8, -2, 132, -2, -84, 38, 40, 20, -8, 24, 0, 169, 0, -126, 28, 26, -14, 66, 56, -3, -10, 0, 48, 38, -70, 24, 30, -2, -78, 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id: 49068036
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 9, 'source_hecke_orbit_code': 243194379911565814, 'source_is_minimal': False, 'source_label': '4598.2.a.cc.1.9', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 9, 'target_hecke_orbit_code': 243194379911565814, 'target_is_minimal': False, 'target_label': '4598.2.a.cc.1.9', 'target_level': 4598, 'twist_class_label': '418.2.f.h.115.1', 'twist_class_level': 418, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49068037
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 9, 'source_hecke_orbit_code': 243194379911565814, 'source_is_minimal': False, 'source_label': '4598.2.a.cc.1.9', 'source_level': 4598, 'target_conrey_index': 229, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532002, 'target_is_minimal': True, 'target_label': '418.2.f.h.229.1', 'target_level': 418, 'twist_class_label': '418.2.f.h.115.1', 'twist_class_level': 418, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49068038
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 9, 'source_hecke_orbit_code': 243194379911565814, 'source_is_minimal': False, 'source_label': '4598.2.a.cc.1.9', 'source_level': 4598, 'target_conrey_index': 115, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532002, 'target_is_minimal': True, 'target_label': '418.2.f.h.115.1', 'target_level': 418, 'twist_class_label': '418.2.f.h.115.1', 'twist_class_level': 418, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49068039
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 9, 'source_hecke_orbit_code': 243194379911565814, 'source_is_minimal': False, 'source_label': '4598.2.a.cc.1.9', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 9, 'target_hecke_orbit_code': 247697979538936310, 'target_is_minimal': False, 'target_label': '4598.2.a.cd.1.9', 'target_level': 4598, 'twist_class_label': '418.2.f.h.115.1', 'twist_class_level': 418, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3645500
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 243194379911565814, 'p': 2}
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id: 3645501
{'charpoly_factorization': [[[44, -392, 176, 512, -270, -220, 118, 36, -19, -2, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 3}
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id: 3645502
{'charpoly_factorization': [[[349, 1191, 591, -1062, -635, 369, 191, -56, -23, 3, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 5}
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id: 3645503
{'charpoly_factorization': [[[-59, -351, -329, 856, 809, -307, -449, -88, 27, 11, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 7}
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id: 3645504
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 243194379911565814, 'p': 11}
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id: 3645505
{'charpoly_factorization': [[[1984, -1216, -6912, 576, 6152, 1480, -940, -356, -1, 11, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 13}
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id: 3645506
{'charpoly_factorization': [[[-1381, -4284, 37935, 56052, 22475, -1880, -3359, -724, -11, 12, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 17}
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id: 3645507
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 243194379911565814, 'p': 19}
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id: 3645508
{'charpoly_factorization': [[[-377581, -359474, 38475, 106072, 5517, -11826, -603, 632, -3, -14, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 23}
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id: 3645509
{'charpoly_factorization': [[[-19407424, -19548720, -5926508, 218112, 434720, 57000, -6890, -1888, -38, 16, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 29}
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id: 3645510
{'charpoly_factorization': [[[-5575484, 10580016, -6650860, 1219656, 246950, -98512, 1796, 1972, -127, -12, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 31}
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id: 3645511
{'charpoly_factorization': [[[260516, 433764, 139924, -99216, -53986, 4534, 4328, -98, -117, 1, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 37}
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id: 3645512
{'charpoly_factorization': [[[301928884, -197594628, 14081340, 10701176, -1427506, -207342, 33460, 1698, -309, -5, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 41}
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id: 3645513
{'charpoly_factorization': [[[350900, 1784750, -1510585, -451980, 198486, 41106, -7479, -1612, 52, 22, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 43}
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id: 3645514
{'charpoly_factorization': [[[-347771, -8073492, 1905183, 1270532, -267137, -61288, 11345, 1176, -185, -8, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 47}
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id: 3645515
{'charpoly_factorization': [[[-210485900, -129459800, 59852440, 5215240, -2706916, -79520, 48054, 596, -369, -2, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 53}
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id: 3645516
{'charpoly_factorization': [[[-23104, -190144, 297472, 21056, -72440, 4840, 4932, -420, -121, 7, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 59}
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id: 3645517
{'charpoly_factorization': [[[-342661, -1354057, 3650237, 2395464, -47235, -260523, -53603, -2534, 297, 35, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 61}
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id: 3645518
{'charpoly_factorization': [[[6908404, -11963020, -2160520, 8822372, -1213648, -264916, 36074, 2698, -335, -9, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 67}
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id: 3645519
{'charpoly_factorization': [[[-23572844, 67729392, -57465656, 19925160, -2338418, -209456, 58594, -248, -429, 4, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 71}
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id: 3645520
{'charpoly_factorization': [[[36593104, -26989552, -47361824, -16744192, -1134900, 355588, 44700, -2324, -387, 5, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 73}
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id: 3645521
{'charpoly_factorization': [[[8477116, 16056232, -2551992, -3438624, -19992, 176744, 6234, -3192, -145, 18, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 79}
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id: 3645522
{'charpoly_factorization': [[[-3201446201, 97482013, 446298611, -14039280, -14746589, 419645, 156349, -3190, -665, 7, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 83}
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id: 3645523
{'charpoly_factorization': [[[-64913216, -11173632, 15224608, 3650112, -710320, -196976, 12716, 3648, -135, -22, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 89}
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id: 3645524
{'charpoly_factorization': [[[86549804, 40553936, -24812500, -4877616, 2683714, -57056, -67788, 6864, 69, -32, 1], 1]], 'hecke_orbit_code': 243194379911565814, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '4598.2.a.cc', 'level': 4598, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278381000
{'hecke_orbit_code': 243194379911565814, 'n': 1, 'trace_an': 10}
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id: 278381001
{'hecke_orbit_code': 243194379911565814, 'n': 2, 'trace_an': -10}
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id: 278381002
{'hecke_orbit_code': 243194379911565814, 'n': 3, 'trace_an': 2}
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id: 278381003
{'hecke_orbit_code': 243194379911565814, 'n': 4, 'trace_an': 10}
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id: 278381004
{'hecke_orbit_code': 243194379911565814, 'n': 5, 'trace_an': -3}
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id: 278381005
{'hecke_orbit_code': 243194379911565814, 'n': 6, 'trace_an': -2}
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id: 278381006
{'hecke_orbit_code': 243194379911565814, 'n': 7, 'trace_an': -11}
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id: 278381007
{'hecke_orbit_code': 243194379911565814, 'n': 8, 'trace_an': -10}
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id: 278381008
{'hecke_orbit_code': 243194379911565814, 'n': 9, 'trace_an': 12}
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id: 278381009
{'hecke_orbit_code': 243194379911565814, 'n': 10, 'trace_an': 3}
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id: 278381010
{'hecke_orbit_code': 243194379911565814, 'n': 11, 'trace_an': 0}
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id: 278381011
{'hecke_orbit_code': 243194379911565814, 'n': 12, 'trace_an': 2}
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id: 278381012
{'hecke_orbit_code': 243194379911565814, 'n': 13, 'trace_an': -11}
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id: 278381013
{'hecke_orbit_code': 243194379911565814, 'n': 14, 'trace_an': 11}
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id: 278381014
{'hecke_orbit_code': 243194379911565814, 'n': 15, 'trace_an': 1}
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id: 278381015
{'hecke_orbit_code': 243194379911565814, 'n': 16, 'trace_an': 10}
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id: 278381016
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{'hecke_orbit_code': 243194379911565814, 'n': 995, 'trace_an': 156}
-
id: 278381995
{'hecke_orbit_code': 243194379911565814, 'n': 996, 'trace_an': -35}
-
id: 278381996
{'hecke_orbit_code': 243194379911565814, 'n': 997, 'trace_an': -40}
-
id: 278381997
{'hecke_orbit_code': 243194379911565814, 'n': 998, 'trace_an': 46}
-
id: 278381998
{'hecke_orbit_code': 243194379911565814, 'n': 999, 'trace_an': -91}
-
id: 278381999
{'hecke_orbit_code': 243194379911565814, 'n': 1000, 'trace_an': 36}