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{'Nk2': 15456, 'analytic_conductor': 30.85419534102274, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 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': [3864, 1, [967, 1933, 1289, 2761, 2857], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[5, [0, 1]], [11, [-1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299288, 'hecke_ring_generator_nbound': 1, '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': '3864.2.a.c', 'level': 3864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '3864.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{7}+q^{9}+q^{11}-6q^{13}+7q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/3864/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3864.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 1671572659420828684, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.107', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-1], [0], [1], [0], [1], [0], [-6], [0], [0], [0], [0], [0], [7], [0], [-1], [0], [1], [0], [-5], [0], [1], [0], [-10], [0], [-10], [0], [1], [0], [0], [0], [6], [0], [-6], [0], [-5], [0], [4], [0], [0], [0], [-1], [0], [1], [0], [0], [0], [-3], [0], [0], [0], [7], [0], [-3], [0], [9], [0], [-1], [0], [0], [0], [-4], [0], [1], [0], [-12], [0], [-4], [0], [-5], [0], [-1], [0], [-2], [0], [1], [0], [2], [0], [0], [0], [-10], [0], [18], [0], [6], [0], [-10], [0], [0], [0], [-6], [0], [1], [0]], 'ap': [[0], [1], [0], [-1], [1], [-6], [0], [7], [1], [-10], [-10], [6], [-5], [4], [-1], [-3], [-3], [9], [-4], [-12], [-4], [-2], [2], [18], [-6], [-1], [-19], [-20], [-16], [6], [7], [-1], [17], [-12], [-9], [-5], [5], [-1], [-5], [6], [20], [6], [15], [-19], [-10], [-5], [-25], [10], [6], [-7], [-16], [-4], [7], [10], [15], [9], [10], [24], [11], [-22], [-28], [12], [-28], [-15], [-23], [-6], [-25], [22], [30], [18], [14], [24], [-13], [6], [-38], [18], [6], [-6], [3], [26], [-14], [20], [-11], [11], [20], [24], [-26], [22], [-2], [-5], [18], [0], [-28], [2], [-4], [-12], [-1], [-30], [-9], [7], [16], [-10], [12], [-1], [8], [6], [-13], [18], [-30], [-8], [20], [42], [34], [-20], [18], [-1], [-3], [-28], [-24], [-32], [25], [33], [28], [36], [-20], [-3], [-38], [48], [-23], [6], [-20], [49], [-24], [-20], [-27], [2], [52], [5], [6], [34], [-6], [-8], [21], [33], [-38], [46], [-24], [-9], [36], [-54], [-29], [-2], [-8], [48], [-4], [24], [-10], [54], [3], [-8], [4], [41], [4], [54], [-35], [6], [-45], [-28], [2], [3], [-15], [50], [1], [36], [10], [26], [-31], [-54], [19], [2], [-55], [-54], [-19], [-49], [37], [6], [-59], [-12], [-31], [48], [26], [24], [-28], [-57], [-31], [52], [50], [58], [44], [-53], [-55], [-28], [50], [-63], [54], [41], [56], [30], [-64], [50], [37], [21], [-22], [-30], [32], [-6], [-39], [62], [-48], [18], [-17], [-41], [-60], [32], [-57], [21], [46], [24], [40], [-28], [-71], [4], [36], [-36], [1], [0], [-49], [-66], [-48], [0], [35], [-44], [-4], [-49], [71], [-75], [-42], [-66], [10], [15], [-28], [-32], [7], [49], [66], [-34], [-4], [-27], [-75], [-22], [-56], [-63], [38], [-43], [45], [47], [-39], [78], [24], [32], [-16], [18], [38], [-6], [-56], [-46], [-72], [-33], [-36], [0], [-33], [80], [-10], [58], [-22], [42], [-10], [-43], [-76], [-50], [43], [62], [-54], [-72], [-78], [-52], [-60], [-15], [-51], [-14], [-18], [50], [-10], [-24], [-86], [-37], [-52], [-33], [37], [-6], [-15], [2], [-75], [-16], [-59], [75], [57], [60], [7], [-32], [-31], [-14], [-9], [-39], [-15], [-17], [-48], [52], [-15], [51], [10], [-72], [44], [-9], [28], [9], [2], [42], [-10], [16], [66], [-85], [-35], [58], [21], [-66], [76], [53], [-82], [-2], [-22], [43], [40], [25], [50], [55], [-82], [14], [78], [-42], [8], [-27], [12], [-5], [-52], [-1], [-3], [74], [-22], [-88], [92], [-14], [-61], [-31], [14], [-4], [-65], [-41], [-68], [4], [-80], [74], [-3], [-84], [-28], [53], [-35], [64], [-68], [72], [8], [-9], [-10], [-8], [43], [70], [95], [78], [82], [-58], [-72], [96], [58], [74], [-11], [66], [8], [2], [-56], [-36], [-50], [-42], [61], [-48], [74], [78], [-46], [-100], [-20], [-56], [34], [27], [18], [-12], [-20], [7], [-21], [42], [42], [69]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288299288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3864.2.a.c', 'level': 3864, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [7, 1], [23, 1]], 4, 1], [[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [23, -1]], 5, 2], [[[2, 1], [3, 1], [7, -1], [23, 1]], 3, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 7, 3], [[[2, -1], [3, 1], [7, -1], [23, -1]], 5, 2], [[[2, 1], [3, -1], [7, -1], [23, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [23, -1]], 6, 1], [[[2, 1], [3, -1], [7, 1], [23, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [23, 1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [23, 1]], 4, 1], [[[2, 1], [3, -1], [7, 1], [23, 1]], 4, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 3, 1], [[[2, 1], [3, 1], [7, 1], [23, -1]], 4, 3], [[[2, -1], [3, 1], [7, 1], [23, 1]], 6, 1]], 'Nk2': 15456, 'analytic_conductor': 30.85419534102274, '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': [3864, 1, [967, 1933, 1289, 2761, 2857], [1, 1, 1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 753, 'dim': 68, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33558296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6], 'label': '3864.2.a', 'level': 3864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 784, 'mf_new_dim': 68, 'num_forms': 24, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1536, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [68, 0, 0, 0, -8, 0, 0, 0, 68, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, 0, 16, 0, 68, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 8, 0, 0, 0, -16, 0, 16, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 68, 0, 16, 0, 0, 0, 16, 0, 40, 0, 0, 0, 8, 0, 32, 0, 8, 0, 0, 0, -24, 0, 16, 0, 8, 0, 16, 0, -24, 0, 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-56, 0, -144, 0, 288, 0, 8, 0, 136, 0, 256, 0, -192, 0, -8, 0, -800, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1163488
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '3864.2.a.c', 'source_level': 3864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '3864.2.a.c', 'target_level': 3864, 'twist_class_label': '3864.2.a.c', 'twist_class_level': 3864, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1163489
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '3864.2.a.c', 'source_level': 3864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7728.2.a.f', 'target_level': 7728, 'twist_class_label': '3864.2.a.c', 'twist_class_level': 3864, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3401050
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 2}
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id: 3401051
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 3}
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id: 3401052
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 5}
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id: 3401053
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 7}
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id: 3401054
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 11}
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id: 3401055
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 13}
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id: 3401056
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 17}
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id: 3401057
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 19}
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id: 3401058
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 23}
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id: 3401059
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 29}
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id: 3401060
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 31}
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id: 3401061
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 37}
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id: 3401062
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 41}
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id: 3401063
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 43}
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id: 3401064
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 47}
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id: 3401065
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 53}
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id: 3401066
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 59}
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id: 3401067
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 61}
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id: 3401068
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 67}
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id: 3401069
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 71}
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id: 3401070
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 73}
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id: 3401071
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 79}
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id: 3401072
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 83}
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id: 3401073
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 89}
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id: 3401074
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288299288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '3864.2.a.c', 'level': 3864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 104202000
{'hecke_orbit_code': 9007199288299288, 'n': 1, 'trace_an': 1}
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id: 104202001
{'hecke_orbit_code': 9007199288299288, 'n': 2, 'trace_an': 0}
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id: 104202002
{'hecke_orbit_code': 9007199288299288, 'n': 3, 'trace_an': 1}
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id: 104202003
{'hecke_orbit_code': 9007199288299288, 'n': 4, 'trace_an': 0}
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id: 104202004
{'hecke_orbit_code': 9007199288299288, 'n': 5, 'trace_an': 0}
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id: 104202005
{'hecke_orbit_code': 9007199288299288, 'n': 6, 'trace_an': 0}
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id: 104202006
{'hecke_orbit_code': 9007199288299288, 'n': 7, 'trace_an': -1}
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id: 104202007
{'hecke_orbit_code': 9007199288299288, 'n': 8, 'trace_an': 0}
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id: 104202008
{'hecke_orbit_code': 9007199288299288, 'n': 9, 'trace_an': 1}
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id: 104202009
{'hecke_orbit_code': 9007199288299288, 'n': 10, 'trace_an': 0}
-
id: 104202010
{'hecke_orbit_code': 9007199288299288, 'n': 11, 'trace_an': 1}
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id: 104202011
{'hecke_orbit_code': 9007199288299288, 'n': 12, 'trace_an': 0}
-
id: 104202012
{'hecke_orbit_code': 9007199288299288, 'n': 13, 'trace_an': -6}
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id: 104202013
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{'hecke_orbit_code': 9007199288299288, 'n': 1000, 'trace_an': 0}