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{'Nk2': 39600, 'analytic_conductor': 79.05189800106758, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [11, -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': [9900, 1, [4951, 5501, 2377, 4501], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 21, 'field_disc_factorization': [[3, 1], [7, 1]], 'field_poly': [-5, -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, [1, -5, 1]], [13, [-1, 1]], [17, [-3, 3, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029459628, 'hecke_ring_generator_nbound': 7, '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': '9900.2.a.bz', 'level': 9900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '1100.2.a.g', 'nf_label': '2.2.21.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(3-\\beta )q^{7}+q^{11}+q^{13}+(-2+\\beta )q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9900.2.a', 'trace_display': [0, 0, 0, 5], 'trace_hash': 305279280851330106, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.935', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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'level': 9900, 'maxp': 4297, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [11, -1]], 11, 8], [[[2, -1], [3, 1], [5, 1], [11, -1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [11, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [11, -1]], 9, 6], [[[2, -1], [3, -1], [5, -1], [11, 1]], 13, 8], [[[2, -1], [3, 1], [5, -1], [11, 1]], 9, 6], [[[2, -1], [3, -1], [5, 1], [11, -1]], 12, 10], [[[2, -1], [3, -1], [5, 1], [11, 1]], 11, 8]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 9, 9, 11, 12, 13, 11], 'Nk2': 39600, 'analytic_conductor': 79.05189800106758, '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': [9900, 1, [4951, 5501, 2377, 4501], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2089, 'dim': 79, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17], 'hecke_orbit_code': 33564332, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4], 'label': '9900.2.a', 'level': 9900, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 2232, 'mf_new_dim': 79, 'num_forms': 54, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 79, 'sturm_bound': 4320, 'trace_bound': 17, 'trace_display': [0, 0, 0, 2], 'traces': [79, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 4, 0, 0, 0, 10, 0, -4, 0, 0, 0, -11, 0, 0, 0, 0, 0, -24, 0, -21, 0, 0, 0, 0, 0, 1, 0, 0, 0, -16, 0, 6, 0, 0, 0, 24, 0, 87, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0, 0, -7, 0, 0, 0, -21, 0, -4, 0, 0, 0, 6, 0, 26, 0, 0, 0, -6, 0, 0, 0, 0, 0, -49, 0, 12, 0, 0, 0, 0, 0, 23, 0, 0, 0, -50, 0, 40, 0, 0, 0, -6, 0, -6, 0, 0, 0, -15, 0, 0, 0, 0, 0, 4, 0, 79, 0, 0, 0, 0, 0, 44, 0, 0, 0, 10, 0, -40, 0, 0, 0, -23, 0, -26, 0, 0, 0, -8, 0, 0, 0, 0, 0, -6, 0, 54, 0, 0, 0, 0, 0, -29, 0, 0, 0, 38, 0, 4, 0, 0, 0, -32, 0, 37, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1452019
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1100.2.a.g', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1452020
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1100.2.a.h', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1452021
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1100.2.b.d', 'target_level': 1100, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1452022
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4400.2.a.bi', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1452023
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4400.2.a.bu', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1452024
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4400.2.b.s', 'target_level': 4400, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1452025
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '9900.2.a.bh', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1452026
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9900.2.a.bz', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1452027
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 52, 'source_is_minimal': False, 'source_label': '9900.2.a.bz', 'source_level': 9900, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9900.2.c.x', 'target_level': 9900, 'twist_class_label': '1100.2.a.g', 'twist_class_level': 1100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5153875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 2}
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id: 5153876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 3}
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id: 5153877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 5}
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id: 5153878
{'charpoly_factorization': [[[1, -5, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 7}
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id: 5153879
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 11}
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id: 5153880
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 13}
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id: 5153881
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 17}
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id: 5153882
{'charpoly_factorization': [[[-17, -4, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 19}
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id: 5153883
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 23}
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id: 5153884
{'charpoly_factorization': [[[15, 9, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 29}
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id: 5153885
{'charpoly_factorization': [[[-5, 8, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 31}
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id: 5153886
{'charpoly_factorization': [[[-17, 4, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 37}
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id: 5153887
{'charpoly_factorization': [[[15, -12, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 41}
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id: 5153888
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 43}
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id: 5153889
{'charpoly_factorization': [[[15, 12, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 47}
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id: 5153890
{'charpoly_factorization': [[[-27, -9, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 53}
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id: 5153891
{'charpoly_factorization': [[[15, -12, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 59}
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id: 5153892
{'charpoly_factorization': [[[37, -13, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 61}
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id: 5153893
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 229683581029459628, 'p': 67}
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id: 5153894
{'charpoly_factorization': [[[-180, 6, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 71}
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id: 5153895
{'charpoly_factorization': [[[25, -11, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 73}
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id: 5153896
{'charpoly_factorization': [[[-257, -1, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 79}
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id: 5153897
{'charpoly_factorization': [[[-129, -3, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 83}
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id: 5153898
{'charpoly_factorization': [[[-3, 3, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 89}
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id: 5153899
{'charpoly_factorization': [[[67, -17, 1], 1]], 'hecke_orbit_code': 229683581029459628, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '9900.2.a.bz', 'level': 9900, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 277907000
{'hecke_orbit_code': 229683581029459628, 'n': 1, 'trace_an': 2}
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id: 277907001
{'hecke_orbit_code': 229683581029459628, 'n': 2, 'trace_an': 0}
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id: 277907002
{'hecke_orbit_code': 229683581029459628, 'n': 3, 'trace_an': 0}
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id: 277907003
{'hecke_orbit_code': 229683581029459628, 'n': 4, 'trace_an': 0}
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id: 277907004
{'hecke_orbit_code': 229683581029459628, 'n': 5, 'trace_an': 0}
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id: 277907005
{'hecke_orbit_code': 229683581029459628, 'n': 6, 'trace_an': 0}
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id: 277907006
{'hecke_orbit_code': 229683581029459628, 'n': 7, 'trace_an': 5}
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id: 277907007
{'hecke_orbit_code': 229683581029459628, 'n': 8, 'trace_an': 0}
-
id: 277907008
{'hecke_orbit_code': 229683581029459628, 'n': 9, 'trace_an': 0}
-
id: 277907009
{'hecke_orbit_code': 229683581029459628, 'n': 10, 'trace_an': 0}
-
id: 277907010
{'hecke_orbit_code': 229683581029459628, 'n': 11, 'trace_an': 2}
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id: 277907011
{'hecke_orbit_code': 229683581029459628, 'n': 12, 'trace_an': 0}
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id: 277907012
{'hecke_orbit_code': 229683581029459628, 'n': 13, 'trace_an': 2}
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id: 277907013
{'hecke_orbit_code': 229683581029459628, 'n': 14, 'trace_an': 0}
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