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{'Nk2': 27360, 'analytic_conductor': 54.61767498255578, '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': [6840, 1, [1711, 3421, 5321, 2737, 6481], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, 0, 1]], [11, [2, -4, 1]], [13, [2, -4, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972564664, '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': '6840.2.a.bb', 'level': 6840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '2280.2.a.k', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+\\beta q^{7}+(2-\\beta )q^{11}+(2-\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6840.2.a', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1236687761616713577, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.160', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 1], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 3], [[[2, 1], [3, 1], [5, -1], [19, -1]], 4, 1], [[[2, 1], [3, -1], [5, -1], [19, 1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 2], [[[2, -1], [3, 1], [5, -1], [19, -1]], 5, 1], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 1], [[[2, 1], [3, -1], [5, -1], [19, -1]], 8, 4], [[[2, 1], [3, -1], [5, 1], [19, -1]], 7, 4], [[[2, -1], [3, -1], [5, 1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, -1], [19, 1]], 8, 3], [[[2, -1], [3, -1], [5, 1], [19, 1]], 7, 6]], 'ALdims': [4, 5, 5, 4, 6, 7, 6, 8, 5, 4, 4, 5, 7, 6, 8, 6], 'Nk2': 27360, 'analytic_conductor': 54.61767498255578, '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': [6840, 1, [1711, 3421, 5321, 2737, 6481], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1409, 'dim': 90, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33561272, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5], 'label': '6840.2.a', 'level': 6840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1472, 'mf_new_dim': 90, 'num_forms': 45, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 2880, 'trace_bound': 13, 'trace_display': [0, 0, 2, 0], 'traces': [90, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, -12, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, 28, 0, 0, 0, 36, 0, 78, 0, 0, 0, 16, 0, 8, 0, 0, 0, 16, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 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mf_twists_cc • Show schema
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id: 48646544
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972564664, 'source_is_minimal': False, 'source_label': '6840.2.a.bb.1.1', 'source_level': 6840, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972564664, 'target_is_minimal': False, 'target_label': '6840.2.a.bb.1.1', 'target_level': 6840, 'twist_class_label': '2280.2.a.k.1.1', 'twist_class_level': 2280, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48646545
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972564664, 'source_is_minimal': False, 'source_label': '6840.2.a.bb.1.1', 'source_level': 6840, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307261672, 'target_is_minimal': True, 'target_label': '2280.2.a.k.1.1', 'target_level': 2280, 'twist_class_label': '2280.2.a.k.1.1', 'twist_class_level': 2280, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48646546
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597189972564664, 'source_is_minimal': False, 'source_label': '6840.2.a.bb.1.1', 'source_level': 6840, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501008336, 'target_is_minimal': False, 'target_label': '4560.2.a.bn.1.2', 'target_level': 4560, 'twist_class_label': '2280.2.a.k.1.1', 'twist_class_level': 2280, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4303825
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972564664, 'p': 2}
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id: 4303826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972564664, 'p': 3}
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id: 4303827
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597189972564664, 'p': 5}
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id: 4303828
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 7}
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id: 4303829
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 11}
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id: 4303830
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 13}
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id: 4303831
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 17}
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id: 4303832
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597189972564664, 'p': 19}
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id: 4303833
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 23}
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id: 4303834
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 29}
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id: 4303835
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 31}
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id: 4303836
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 37}
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id: 4303837
{'charpoly_factorization': [[[-98, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 41}
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id: 4303838
{'charpoly_factorization': [[[-34, -8, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 43}
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id: 4303839
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 47}
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id: 4303840
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 53}
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id: 4303841
{'charpoly_factorization': [[[8, -8, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 59}
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id: 4303842
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 61}
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id: 4303843
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 67}
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id: 4303844
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 71}
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id: 4303845
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 73}
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id: 4303846
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 79}
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id: 4303847
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 83}
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id: 4303848
{'charpoly_factorization': [[[46, -16, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 89}
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id: 4303849
{'charpoly_factorization': [[[-94, -4, 1], 1]], 'hecke_orbit_code': 121597189972564664, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '6840.2.a.bb', 'level': 6840, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 262241000
{'hecke_orbit_code': 121597189972564664, 'n': 1, 'trace_an': 2}
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id: 262241001
{'hecke_orbit_code': 121597189972564664, 'n': 2, 'trace_an': 0}
-
id: 262241002
{'hecke_orbit_code': 121597189972564664, 'n': 3, 'trace_an': 0}
-
id: 262241003
{'hecke_orbit_code': 121597189972564664, 'n': 4, 'trace_an': 0}
-
id: 262241004
{'hecke_orbit_code': 121597189972564664, 'n': 5, 'trace_an': 2}
-
id: 262241005
{'hecke_orbit_code': 121597189972564664, 'n': 6, 'trace_an': 0}
-
id: 262241006
{'hecke_orbit_code': 121597189972564664, 'n': 7, 'trace_an': 0}
-
id: 262241007
{'hecke_orbit_code': 121597189972564664, 'n': 8, 'trace_an': 0}
-
id: 262241008
{'hecke_orbit_code': 121597189972564664, 'n': 9, 'trace_an': 0}
-
id: 262241009
{'hecke_orbit_code': 121597189972564664, 'n': 10, 'trace_an': 0}
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id: 262241010
{'hecke_orbit_code': 121597189972564664, 'n': 11, 'trace_an': 4}
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id: 262241011
{'hecke_orbit_code': 121597189972564664, 'n': 12, 'trace_an': 0}
-
id: 262241012
{'hecke_orbit_code': 121597189972564664, 'n': 13, 'trace_an': 4}
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id: 262241013
{'hecke_orbit_code': 121597189972564664, 'n': 14, 'trace_an': 0}
-
id: 262241014
{'hecke_orbit_code': 121597189972564664, 'n': 15, 'trace_an': 0}
-
id: 262241015
{'hecke_orbit_code': 121597189972564664, 'n': 16, 'trace_an': 0}
-
id: 262241016
{'hecke_orbit_code': 121597189972564664, 'n': 17, 'trace_an': 0}
-
id: 262241017
{'hecke_orbit_code': 121597189972564664, 'n': 18, 'trace_an': 0}
-
id: 262241018
{'hecke_orbit_code': 121597189972564664, 'n': 19, 'trace_an': 2}
-
id: 262241019
{'hecke_orbit_code': 121597189972564664, 'n': 20, 'trace_an': 0}
-
id: 262241020
{'hecke_orbit_code': 121597189972564664, 'n': 21, 'trace_an': 0}
-
id: 262241021
{'hecke_orbit_code': 121597189972564664, 'n': 22, 'trace_an': 0}
-
id: 262241022
{'hecke_orbit_code': 121597189972564664, 'n': 23, 'trace_an': 4}
-
id: 262241023
{'hecke_orbit_code': 121597189972564664, 'n': 24, 'trace_an': 0}
-
id: 262241024
{'hecke_orbit_code': 121597189972564664, 'n': 25, 'trace_an': 2}
-
id: 262241025
{'hecke_orbit_code': 121597189972564664, 'n': 26, 'trace_an': 0}
-
id: 262241026
{'hecke_orbit_code': 121597189972564664, 'n': 27, 'trace_an': 0}
-
id: 262241027
{'hecke_orbit_code': 121597189972564664, 'n': 28, 'trace_an': 0}
-
id: 262241028
{'hecke_orbit_code': 121597189972564664, 'n': 29, 'trace_an': 0}
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{'hecke_orbit_code': 121597189972564664, 'n': 992, 'trace_an': 0}
-
id: 262241992
{'hecke_orbit_code': 121597189972564664, 'n': 993, 'trace_an': 0}
-
id: 262241993
{'hecke_orbit_code': 121597189972564664, 'n': 994, 'trace_an': 0}
-
id: 262241994
{'hecke_orbit_code': 121597189972564664, 'n': 995, 'trace_an': -24}
-
id: 262241995
{'hecke_orbit_code': 121597189972564664, 'n': 996, 'trace_an': 0}
-
id: 262241996
{'hecke_orbit_code': 121597189972564664, 'n': 997, 'trace_an': 4}
-
id: 262241997
{'hecke_orbit_code': 121597189972564664, 'n': 998, 'trace_an': 0}
-
id: 262241998
{'hecke_orbit_code': 121597189972564664, 'n': 999, 'trace_an': 0}
-
id: 262241999
{'hecke_orbit_code': 121597189972564664, 'n': 1000, 'trace_an': 0}