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mf_newforms • Show schema
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{'Nk2': 16560, 'analytic_conductor': 33.05806643681008, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [23, 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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 24, 'field_disc_factorization': [[2, 3], [3, 1]], 'field_poly': [-6, 0, 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, [-5, 2, 1]], [11, [-6, 0, 1]], [13, [-2, -4, 1]], [17, [3, 6, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071486508, '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': True, 'label': '4140.2.a.q', 'level': 4140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '4140.2.a.l', 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(-1+\\beta )q^{7}-\\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': '4140.2.a', 'trace_display': [0, 0, 2, -2], 'trace_hash': 1308606513831090054, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 5], [[[2, -1], [3, 1], [5, 1], [23, -1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 5, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 5, 1], [[[2, -1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 4]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 3, 5, 5, 6, 6, 5], 'Nk2': 16560, 'analytic_conductor': 33.05806643681008, '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': [4140, 1, [2071, 461, 1657, 3961], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 38, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558572, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 5, 5], 'label': '4140.2.a', 'level': 4140, 'level_is_prime': False, 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188, 0, 0, 0, 0, 0, 72, 0, 0, 0, -724, 0, 24, 0, 0, 0, 74, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1190274
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '4140.2.a.q', 'source_level': 4140, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '4140.2.a.l', 'target_level': 4140, 'twist_class_label': '4140.2.a.l', 'twist_class_level': 4140, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1190275
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '4140.2.a.q', 'source_level': 4140, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '4140.2.a.q', 'target_level': 4140, 'twist_class_label': '4140.2.a.l', 'twist_class_level': 4140, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3509950
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 2}
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id: 3509951
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 3}
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id: 3509952
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 5}
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id: 3509953
{'charpoly_factorization': [[[-5, 2, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 7}
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id: 3509954
{'charpoly_factorization': [[[-6, 0, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 11}
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id: 3509955
{'charpoly_factorization': [[[-2, -4, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 13}
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id: 3509956
{'charpoly_factorization': [[[3, 6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 17}
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id: 3509957
{'charpoly_factorization': [[[10, 8, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 19}
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id: 3509958
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 23}
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id: 3509959
{'charpoly_factorization': [[[-15, -6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 29}
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id: 3509960
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 31}
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id: 3509961
{'charpoly_factorization': [[[-53, 2, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 37}
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id: 3509962
{'charpoly_factorization': [[[-15, 6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 41}
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id: 3509963
{'charpoly_factorization': [[[-8, 8, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 43}
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id: 3509964
{'charpoly_factorization': [[[-6, 0, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 47}
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id: 3509965
{'charpoly_factorization': [[[-45, 6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 53}
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id: 3509966
{'charpoly_factorization': [[[-15, 6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 59}
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id: 3509967
{'charpoly_factorization': [[[-50, -4, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 61}
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id: 3509968
{'charpoly_factorization': [[[-5, 2, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 67}
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id: 3509969
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 71}
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id: 3509970
{'charpoly_factorization': [[[-50, -4, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 73}
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id: 3509971
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 72057594071486508, 'p': 79}
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id: 3509972
{'charpoly_factorization': [[[-45, -6, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 83}
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id: 3509973
{'charpoly_factorization': [[[120, -24, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 89}
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id: 3509974
{'charpoly_factorization': [[[76, 20, 1], 1]], 'hecke_orbit_code': 72057594071486508, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '4140.2.a.q', 'level': 4140, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 238228000
{'hecke_orbit_code': 72057594071486508, 'n': 1, 'trace_an': 2}
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id: 238228001
{'hecke_orbit_code': 72057594071486508, 'n': 2, 'trace_an': 0}
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id: 238228002
{'hecke_orbit_code': 72057594071486508, 'n': 3, 'trace_an': 0}
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id: 238228003
{'hecke_orbit_code': 72057594071486508, 'n': 4, 'trace_an': 0}
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id: 238228004
{'hecke_orbit_code': 72057594071486508, 'n': 5, 'trace_an': 2}
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id: 238228005
{'hecke_orbit_code': 72057594071486508, 'n': 6, 'trace_an': 0}
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id: 238228006
{'hecke_orbit_code': 72057594071486508, 'n': 7, 'trace_an': -2}
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id: 238228007
{'hecke_orbit_code': 72057594071486508, 'n': 8, 'trace_an': 0}
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id: 238228008
{'hecke_orbit_code': 72057594071486508, 'n': 9, 'trace_an': 0}
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id: 238228009
{'hecke_orbit_code': 72057594071486508, 'n': 10, 'trace_an': 0}
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id: 238228010
{'hecke_orbit_code': 72057594071486508, 'n': 11, 'trace_an': 0}
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id: 238228011
{'hecke_orbit_code': 72057594071486508, 'n': 12, 'trace_an': 0}
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id: 238228012
{'hecke_orbit_code': 72057594071486508, 'n': 13, 'trace_an': 4}
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id: 238228013
{'hecke_orbit_code': 72057594071486508, 'n': 14, 'trace_an': 0}
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id: 238228014
{'hecke_orbit_code': 72057594071486508, 'n': 15, 'trace_an': 0}
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id: 238228015
{'hecke_orbit_code': 72057594071486508, 'n': 16, 'trace_an': 0}
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id: 238228016
{'hecke_orbit_code': 72057594071486508, 'n': 17, 'trace_an': -6}
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id: 238228017
{'hecke_orbit_code': 72057594071486508, 'n': 18, 'trace_an': 0}
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id: 238228018
{'hecke_orbit_code': 72057594071486508, 'n': 19, 'trace_an': -8}
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id: 238228019
{'hecke_orbit_code': 72057594071486508, 'n': 20, 'trace_an': 0}
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id: 238228020
{'hecke_orbit_code': 72057594071486508, 'n': 21, 'trace_an': 0}
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id: 238228021
{'hecke_orbit_code': 72057594071486508, 'n': 22, 'trace_an': 0}
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id: 238228022
{'hecke_orbit_code': 72057594071486508, 'n': 23, 'trace_an': -2}
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id: 238228023
{'hecke_orbit_code': 72057594071486508, 'n': 24, 'trace_an': 0}
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id: 238228024
{'hecke_orbit_code': 72057594071486508, 'n': 25, 'trace_an': 2}
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id: 238228025
{'hecke_orbit_code': 72057594071486508, 'n': 26, 'trace_an': 0}
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id: 238228026
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