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mf_newforms • Show schema
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{'Nk2': 33696, 'analytic_conductor': 67.2659786627266, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [8424, 1, [6319, 4213, 7697, 3889], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, -2, 1]], [7, [-3, 0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189379304, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8424.2.a.n', 'level': 8424, '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, 13], 'level_radical': 78, 'minimal_twist': '8424.2.a.j', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{5}-\\beta q^{7}+(-2+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8424.2.a', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1957960535841610554, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [16, 21, 20, 15, 18, 17, 18, 19], 'Nk2': 33696, 'analytic_conductor': 67.2659786627266, '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': [8424, 1, [6319, 4213, 7697, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1465, 'dim': 144, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33562856, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11], 'label': '8424.2.a', 'level': 8424, '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, 13], 'level_radical': 78, 'mf_dim': 1560, 'mf_new_dim': 144, 'num_forms': 32, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 144, 'sturm_bound': 3024, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -540, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, -120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1390380
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '8424.2.a.n', 'source_level': 8424, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '8424.2.a.j', 'target_level': 8424, 'twist_class_label': '8424.2.a.j', 'twist_class_level': 8424, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1390381
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 14, 'source_is_minimal': True, 'source_label': '8424.2.a.n', 'source_level': 8424, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '8424.2.a.n', 'target_level': 8424, 'twist_class_label': '8424.2.a.j', 'twist_class_level': 8424, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4750925
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189379304, 'p': 2}
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id: 4750926
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 58546795189379304, 'p': 3}
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id: 4750927
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 5}
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id: 4750928
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 7}
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id: 4750929
{'charpoly_factorization': [[[1, 4, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 11}
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id: 4750930
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 58546795189379304, 'p': 13}
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id: 4750931
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 17}
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id: 4750932
{'charpoly_factorization': [[[-11, 2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 19}
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id: 4750933
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 23}
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id: 4750934
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 58546795189379304, 'p': 29}
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id: 4750935
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 31}
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id: 4750936
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 37}
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id: 4750937
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 41}
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id: 4750938
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 43}
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id: 4750939
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 47}
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id: 4750940
{'charpoly_factorization': [[[-47, -2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 53}
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id: 4750941
{'charpoly_factorization': [[[37, 16, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 59}
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id: 4750942
{'charpoly_factorization': [[[73, -20, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 61}
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id: 4750943
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 67}
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id: 4750944
{'charpoly_factorization': [[[-23, -10, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 71}
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id: 4750945
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 73}
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id: 4750946
{'charpoly_factorization': [[[-74, -2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 79}
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id: 4750947
{'charpoly_factorization': [[[-59, 8, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 83}
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id: 4750948
{'charpoly_factorization': [[[6, 18, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 89}
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id: 4750949
{'charpoly_factorization': [[[-26, 2, 1], 1]], 'hecke_orbit_code': 58546795189379304, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '8424.2.a.n', 'level': 8424, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 58894669
{'hecke_orbit_code': 58546795189379304, 'n': 1, 'trace_an': 2}
-
id: 58894670
{'hecke_orbit_code': 58546795189379304, 'n': 2, 'trace_an': 0}
-
id: 58894671
{'hecke_orbit_code': 58546795189379304, 'n': 3, 'trace_an': 0}
-
id: 58894672
{'hecke_orbit_code': 58546795189379304, 'n': 4, 'trace_an': 0}
-
id: 58894673
{'hecke_orbit_code': 58546795189379304, 'n': 5, 'trace_an': 2}
-
id: 58894674
{'hecke_orbit_code': 58546795189379304, 'n': 6, 'trace_an': 0}
-
id: 58894675
{'hecke_orbit_code': 58546795189379304, 'n': 7, 'trace_an': 0}
-
id: 58894676
{'hecke_orbit_code': 58546795189379304, 'n': 8, 'trace_an': 0}
-
id: 58894677
{'hecke_orbit_code': 58546795189379304, 'n': 9, 'trace_an': 0}
-
id: 58894678
{'hecke_orbit_code': 58546795189379304, 'n': 10, 'trace_an': 0}
-
id: 58894679
{'hecke_orbit_code': 58546795189379304, 'n': 11, 'trace_an': -4}
-
id: 58894680
{'hecke_orbit_code': 58546795189379304, 'n': 12, 'trace_an': 0}
-
id: 58894681
{'hecke_orbit_code': 58546795189379304, 'n': 13, 'trace_an': -2}
-
id: 58894682
{'hecke_orbit_code': 58546795189379304, 'n': 14, 'trace_an': 0}
-
id: 58894683
{'hecke_orbit_code': 58546795189379304, 'n': 15, 'trace_an': 0}
-
id: 58894684
{'hecke_orbit_code': 58546795189379304, 'n': 16, 'trace_an': 0}
-
id: 58894685
{'hecke_orbit_code': 58546795189379304, 'n': 17, 'trace_an': -8}
-
id: 58894686
{'hecke_orbit_code': 58546795189379304, 'n': 18, 'trace_an': 0}
-
id: 58894687
{'hecke_orbit_code': 58546795189379304, 'n': 19, 'trace_an': -2}
-
id: 58894688
{'hecke_orbit_code': 58546795189379304, 'n': 20, 'trace_an': 0}
-
id: 58894689
{'hecke_orbit_code': 58546795189379304, 'n': 21, 'trace_an': 0}
-
id: 58894690
{'hecke_orbit_code': 58546795189379304, 'n': 22, 'trace_an': 0}
-
id: 58894691
{'hecke_orbit_code': 58546795189379304, 'n': 23, 'trace_an': 2}
-
id: 58894692
{'hecke_orbit_code': 58546795189379304, 'n': 24, 'trace_an': 0}
-
id: 58894693
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