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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 257, 'field_disc_factorization': [[257, 1]], 'field_poly': [3, -4, -1, 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': [[7, [49, -21, -2, 1]], [11, [-24, -32, 2, 1]], [13, [21, -23, 2, 1]], [17, [-7, -15, -4, 1]], [23, [63, 57, 14, 1]], [53, [3, 11, -10, 1]]], 'hecke_orbit': 62, 'hecke_orbit_code': 274719577303163238, 'hecke_ring_generator_nbound': 11, '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': '8550.2.a.cj', 'level': 8550, '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': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '950.2.a.k', 'nf_label': '3.3.257.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(1-\\beta _{1}+2\\beta _{2})q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-3, 0, 0, 2], 'trace_hash': 756236779798586080, 'trace_moments': [{'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, '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': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 0, 0, 6, 0, 12, -12, 0, 12, 0, 0, 141, 0, 0, -2, -22, 0, 0, -4, 0, 28, -4, 0, 6, 4, 0, 143, 0, 0, -4, 4, 0, 0, 68, 0, -12, -22, 0, 1, 28, 0, 4, 0, 0, -10, -64, 0, 0, 24, 0, -4, 42, 0, -32, 6, 0, 16, 0, 0, 18, 17, 0, 0, -22, 0, 0, -12, 0, 20, -36, 0, 2, 0, 0, -2, -2, 0, 0, -18, 0, 2, -30, 0, 107, 2, 0, 12, 0, 0, -36, 1, 0, 0, 20, 0, 0, 42, 0, -22, -20, 0, -40, 0, 0, 48, -64, 0, 0, 6, 0, 34, 14, 0, 32, 3, 0, 40, 0, 0, -26, -32, 0, 0, 6, 0, -12, 6, 0, 68, 48, 0, 111, 0, 0, 12, 22, 0, 0, -12, 0, -22, 52, 0, -18, -50, 0, 12, 0, 0, -20, 0, 0, 0, -18, 0, -42, -18, 0, 141, 46, 0, -18, 0, 0, 2, -40, 0, 0, 76, 0, -2, -40, 0, 36, -22, 0, 58, 0, 0, -76, 32, 0, 0, 184, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1396219
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '950.2.a.k', 'target_level': 950, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1396220
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '950.2.a.m', 'target_level': 950, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396221
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '950.2.b.g', 'target_level': 950, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1396222
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '7600.2.a.bm', 'target_level': 7600, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1396223
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '7600.2.a.cb', 'target_level': 7600, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1396224
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '8550.2.a.cj', 'target_level': 8550, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1396225
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 62, 'source_is_minimal': False, 'source_label': '8550.2.a.cj', 'source_level': 8550, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '8550.2.a.co', 'target_level': 8550, 'twist_class_label': '950.2.a.k', 'twist_class_level': 950, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4786575
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 274719577303163238, 'p': 2}
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id: 4786576
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 274719577303163238, 'p': 3}
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id: 4786577
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 274719577303163238, 'p': 5}
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id: 4786578
{'charpoly_factorization': [[[49, -21, -2, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 7}
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id: 4786579
{'charpoly_factorization': [[[-24, -32, 2, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 11}
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id: 4786580
{'charpoly_factorization': [[[21, -23, 2, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 13}
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id: 4786581
{'charpoly_factorization': [[[-7, -15, -4, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 17}
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id: 4786582
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 274719577303163238, 'p': 19}
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id: 4786583
{'charpoly_factorization': [[[63, 57, 14, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 23}
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id: 4786584
{'charpoly_factorization': [[[25, 41, 14, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 29}
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id: 4786585
{'charpoly_factorization': [[[-152, -36, 4, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 31}
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id: 4786586
{'charpoly_factorization': [[[-9, 63, 17, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 37}
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id: 4786587
{'charpoly_factorization': [[[64, -48, -8, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 41}
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id: 4786588
{'charpoly_factorization': [[[-72, -40, -2, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 43}
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id: 4786589
{'charpoly_factorization': [[[-525, -25, 13, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 47}
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id: 4786590
{'charpoly_factorization': [[[3, 11, -10, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 53}
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id: 4786591
{'charpoly_factorization': [[[175, -29, -6, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 59}
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id: 4786592
{'charpoly_factorization': [[[536, 72, -22, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 61}
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id: 4786593
{'charpoly_factorization': [[[-469, -131, 0, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 67}
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id: 4786594
{'charpoly_factorization': [[[24, -16, -2, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 71}
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id: 4786595
{'charpoly_factorization': [[[-243, -27, 12, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 73}
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id: 4786596
{'charpoly_factorization': [[[320, 112, -24, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 79}
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id: 4786597
{'charpoly_factorization': [[[-1544, -164, 12, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 83}
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id: 4786598
{'charpoly_factorization': [[[-10, 1], 3]], 'hecke_orbit_code': 274719577303163238, 'p': 89}
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id: 4786599
{'charpoly_factorization': [[[648, -180, 0, 1], 1]], 'hecke_orbit_code': 274719577303163238, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 62, 'label': '8550.2.a.cj', 'level': 8550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 72142453
{'hecke_orbit_code': 274719577303163238, 'n': 1, 'trace_an': 3}
-
id: 72142454
{'hecke_orbit_code': 274719577303163238, 'n': 2, 'trace_an': -3}
-
id: 72142455
{'hecke_orbit_code': 274719577303163238, 'n': 3, 'trace_an': 0}
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id: 72142456
{'hecke_orbit_code': 274719577303163238, 'n': 4, 'trace_an': 3}
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id: 72142457
{'hecke_orbit_code': 274719577303163238, 'n': 5, 'trace_an': 0}
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id: 72142458
{'hecke_orbit_code': 274719577303163238, 'n': 6, 'trace_an': 0}
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id: 72142459
{'hecke_orbit_code': 274719577303163238, 'n': 7, 'trace_an': 2}
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id: 72142460
{'hecke_orbit_code': 274719577303163238, 'n': 8, 'trace_an': -3}
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id: 72142461
{'hecke_orbit_code': 274719577303163238, 'n': 9, 'trace_an': 0}
-
id: 72142462
{'hecke_orbit_code': 274719577303163238, 'n': 10, 'trace_an': 0}
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id: 72142463
{'hecke_orbit_code': 274719577303163238, 'n': 11, 'trace_an': -2}
-
id: 72142464
{'hecke_orbit_code': 274719577303163238, 'n': 12, 'trace_an': 0}
-
id: 72142465
{'hecke_orbit_code': 274719577303163238, 'n': 13, 'trace_an': -2}
-
id: 72142466
{'hecke_orbit_code': 274719577303163238, 'n': 14, 'trace_an': -2}
-
id: 72142467
{'hecke_orbit_code': 274719577303163238, 'n': 15, 'trace_an': 0}
-
id: 72142468
{'hecke_orbit_code': 274719577303163238, 'n': 16, 'trace_an': 3}
-
id: 72142469
{'hecke_orbit_code': 274719577303163238, 'n': 17, 'trace_an': 4}
-
id: 72142470
{'hecke_orbit_code': 274719577303163238, 'n': 18, 'trace_an': 0}
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id: 72142471
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id: 72142710
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