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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [13, -1]], 'atkin_lehner_string': '+---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 138892, 'field_disc_factorization': [[2, 2], [13, 1], [2671, 1]], 'field_poly': [12, 2, -10, -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': [[5, [4, 24, -15, -2, 1]], [11, [48, 112, -34, -3, 1]], [17, [16, 20, -36, -3, 1]]], 'hecke_orbit': 45, 'hecke_orbit_code': 198158383637860624, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '4368.2.a.bs', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.a.v', 'nf_label': '4.4.138892.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta _{1})q^{5}+q^{7}+q^{9}+(1-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.a', 'trace_display': [0, 4, 2, 4], 'trace_hash': 619842543900240626, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.743', 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, -1]], 5, 2], [[[2, 1], [3, -1], [7, 1], [13, 1]], 6, 5], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 3, 3], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [13, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [13, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 4, 3]], 'ALdims': [6, 4, 3, 5, 6, 2, 3, 7, 4, 5, 3, 6, 6, 5, 5, 2], 'Nk2': 17472, 'analytic_conductor': 34.87865560289527, '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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 873, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33558800, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4], 'label': '4368.2.a', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 72, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1792, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [72, 0, 0, 0, 0, 0, -4, 0, 72, 0, -8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 72, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 16, 0, 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mf_twists_cc • Show schema
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id: 48986117
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 198158383637860624, 'source_is_minimal': False, 'source_label': '4368.2.a.bs.1.2', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637860624, 'target_is_minimal': False, 'target_label': '4368.2.a.bs.1.2', 'target_level': 4368, 'twist_class_label': '2184.2.a.v.1.2', 'twist_class_level': 2184, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48986118
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 198158383637860624, 'source_is_minimal': False, 'source_label': '4368.2.a.bs.1.2', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208337032, 'target_is_minimal': True, 'target_label': '2184.2.a.v.1.2', 'target_level': 2184, 'twist_class_label': '2184.2.a.v.1.2', 'twist_class_level': 2184, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48986119
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 198158383637860624, 'source_is_minimal': False, 'source_label': '4368.2.a.bs.1.2', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383637862808, 'target_is_minimal': False, 'target_label': '6552.2.a.bs.1.3', 'target_level': 6552, 'twist_class_label': '2184.2.a.v.1.2', 'twist_class_level': 2184, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3581475
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 198158383637860624, 'p': 2}
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id: 3581476
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 198158383637860624, 'p': 3}
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id: 3581477
{'charpoly_factorization': [[[4, 24, -15, -2, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 5}
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id: 3581478
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 198158383637860624, 'p': 7}
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id: 3581479
{'charpoly_factorization': [[[48, 112, -34, -3, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 11}
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id: 3581480
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 198158383637860624, 'p': 13}
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id: 3581481
{'charpoly_factorization': [[[16, 20, -36, -3, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 17}
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id: 3581482
{'charpoly_factorization': [[[-16, 160, -45, -4, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 19}
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id: 3581483
{'charpoly_factorization': [[[752, 232, -41, -8, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 23}
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id: 3581484
{'charpoly_factorization': [[[108, 36, -45, -4, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 29}
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id: 3581485
{'charpoly_factorization': [[[-256, -224, -32, 9, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 31}
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id: 3581486
{'charpoly_factorization': [[[16, 20, -36, -3, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 37}
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id: 3581487
{'charpoly_factorization': [[[64, 136, -28, -6, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 41}
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id: 3581488
{'charpoly_factorization': [[[752, 232, -41, -8, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 43}
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id: 3581489
{'charpoly_factorization': [[[-768, -184, 44, 15, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 47}
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id: 3581490
{'charpoly_factorization': [[[3144, 1604, -142, -13, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 53}
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id: 3581491
{'charpoly_factorization': [[[2304, -352, -88, 8, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 59}
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id: 3581492
{'charpoly_factorization': [[[6056, 1844, -230, -9, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 61}
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id: 3581493
{'charpoly_factorization': [[[16064, 32, -260, 0, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 67}
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id: 3581494
{'charpoly_factorization': [[[2304, 352, -88, -8, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 71}
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id: 3581495
{'charpoly_factorization': [[[908, -1004, 319, -32, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 73}
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id: 3581496
{'charpoly_factorization': [[[-832, 624, -118, -1, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 79}
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id: 3581497
{'charpoly_factorization': [[[144, -1072, -78, 13, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 83}
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id: 3581498
{'charpoly_factorization': [[[-328, 212, -22, -7, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 89}
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id: 3581499
{'charpoly_factorization': [[[4328, 1116, -70, -19, 1], 1]], 'hecke_orbit_code': 198158383637860624, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 45, 'label': '4368.2.a.bs', 'level': 4368, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 275357000
{'hecke_orbit_code': 198158383637860624, 'n': 1, 'trace_an': 4}
-
id: 275357001
{'hecke_orbit_code': 198158383637860624, 'n': 2, 'trace_an': 0}
-
id: 275357002
{'hecke_orbit_code': 198158383637860624, 'n': 3, 'trace_an': 4}
-
id: 275357003
{'hecke_orbit_code': 198158383637860624, 'n': 4, 'trace_an': 0}
-
id: 275357004
{'hecke_orbit_code': 198158383637860624, 'n': 5, 'trace_an': 2}
-
id: 275357005
{'hecke_orbit_code': 198158383637860624, 'n': 6, 'trace_an': 0}
-
id: 275357006
{'hecke_orbit_code': 198158383637860624, 'n': 7, 'trace_an': 4}
-
id: 275357007
{'hecke_orbit_code': 198158383637860624, 'n': 8, 'trace_an': 0}
-
id: 275357008
{'hecke_orbit_code': 198158383637860624, 'n': 9, 'trace_an': 4}
-
id: 275357009
{'hecke_orbit_code': 198158383637860624, 'n': 10, 'trace_an': 0}
-
id: 275357010
{'hecke_orbit_code': 198158383637860624, 'n': 11, 'trace_an': 3}
-
id: 275357011
{'hecke_orbit_code': 198158383637860624, 'n': 12, 'trace_an': 0}
-
id: 275357012
{'hecke_orbit_code': 198158383637860624, 'n': 13, 'trace_an': 4}
-
id: 275357013
{'hecke_orbit_code': 198158383637860624, 'n': 14, 'trace_an': 0}
-
id: 275357014
{'hecke_orbit_code': 198158383637860624, 'n': 15, 'trace_an': 2}
-
id: 275357015
{'hecke_orbit_code': 198158383637860624, 'n': 16, 'trace_an': 0}
-
id: 275357016
{'hecke_orbit_code': 198158383637860624, 'n': 17, 'trace_an': 3}
-
id: 275357017
{'hecke_orbit_code': 198158383637860624, 'n': 18, 'trace_an': 0}
-
id: 275357018
{'hecke_orbit_code': 198158383637860624, 'n': 19, 'trace_an': 4}
-
id: 275357019
{'hecke_orbit_code': 198158383637860624, 'n': 20, 'trace_an': 0}
-
id: 275357020
{'hecke_orbit_code': 198158383637860624, 'n': 21, 'trace_an': 4}
-
id: 275357021
{'hecke_orbit_code': 198158383637860624, 'n': 22, 'trace_an': 0}
-
id: 275357022
{'hecke_orbit_code': 198158383637860624, 'n': 23, 'trace_an': 8}
-
id: 275357023
{'hecke_orbit_code': 198158383637860624, 'n': 24, 'trace_an': 0}
-
id: 275357024
{'hecke_orbit_code': 198158383637860624, 'n': 25, 'trace_an': 14}
-
id: 275357025
{'hecke_orbit_code': 198158383637860624, 'n': 26, 'trace_an': 0}
-
id: 275357026
{'hecke_orbit_code': 198158383637860624, 'n': 27, 'trace_an': 4}
-
id: 275357027
{'hecke_orbit_code': 198158383637860624, 'n': 28, 'trace_an': 0}
-
id: 275357028
{'hecke_orbit_code': 198158383637860624, 'n': 29, 'trace_an': 4}
-
id: 275357029
{'hecke_orbit_code': 198158383637860624, 'n': 30, 'trace_an': 0}
-
id: 275357030
{'hecke_orbit_code': 198158383637860624, 'n': 31, 'trace_an': -9}
-
id: 275357031
{'hecke_orbit_code': 198158383637860624, 'n': 32, 'trace_an': 0}
-
id: 275357032
{'hecke_orbit_code': 198158383637860624, 'n': 33, 'trace_an': 3}
-
id: 275357033
{'hecke_orbit_code': 198158383637860624, 'n': 34, 'trace_an': 0}
-
id: 275357034
{'hecke_orbit_code': 198158383637860624, 'n': 35, 'trace_an': 2}
-
id: 275357035
{'hecke_orbit_code': 198158383637860624, 'n': 36, 'trace_an': 0}
-
id: 275357036
{'hecke_orbit_code': 198158383637860624, 'n': 37, 'trace_an': 3}
-
id: 275357037
{'hecke_orbit_code': 198158383637860624, 'n': 38, 'trace_an': 0}
-
id: 275357038
{'hecke_orbit_code': 198158383637860624, 'n': 39, 'trace_an': 4}
-
id: 275357039
{'hecke_orbit_code': 198158383637860624, 'n': 40, 'trace_an': 0}
-
id: 275357040
{'hecke_orbit_code': 198158383637860624, 'n': 41, 'trace_an': 6}
-
id: 275357041
{'hecke_orbit_code': 198158383637860624, 'n': 42, 'trace_an': 0}
-
id: 275357042
{'hecke_orbit_code': 198158383637860624, 'n': 43, 'trace_an': 8}
-
id: 275357043
{'hecke_orbit_code': 198158383637860624, 'n': 44, 'trace_an': 0}
-
id: 275357044
{'hecke_orbit_code': 198158383637860624, 'n': 45, 'trace_an': 2}
-
id: 275357045
{'hecke_orbit_code': 198158383637860624, 'n': 46, 'trace_an': 0}
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id: 275357046
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