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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [31, 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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, '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': [[7, [-2, 1]], [11, [0, 1]], [13, [2, 1]], [19, [4, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580969002, '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': False, 'label': '4650.2.a.u', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.d.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/4650/u'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.a', 'trace_display': [-1, 1, 0, 2], 'trace_hash': 2297859916849424958, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.046', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [2], [-1], [1], [0], [0], [1], [-2], [-2], [0], [1], [0], [-1], [-4], [0], [2], [0], [-2], [-1], [0], [2], [1], [2], [-10], [0], [-1], [-1], [0], [0], [0], [1], [2], [4], [-2], [0], [2], [-2], [-4], [0], [0], [2], [-4], [1], [-3], [0], [0], [-2], [-2], [-1], [0], [-2], [-4], [10], [-6], [0], [-8], [1], [2], [1], [0], [0], [-8], [0], [-2], [0], [-8], [-1], [10], [-2], [0], [-4], [0], [2], [12], [0], [1], [-2], [-4], [2], [0], [4], [-10], [0], [-14], [0], [-4], [-2], [-1], [4], [0], [-1], [4], [3], [0], [0]], 'ap': [[-1], [1], [0], [2], [0], [-2], [0], [-4], [-2], [-10], [-1], [2], [2], [-4], [-4], [-2], [-6], [-8], [-8], [-8], [10], [12], [-4], [-14], [4], [0], [18], [-4], [2], [-6], [-8], [-2], [16], [10], [-12], [-16], [18], [4], [18], [2], [-12], [-20], [8], [16], [-6], [24], [4], [-4], [-12], [0], [6], [-8], [18], [-12], [-14], [6], [14], [-12], [22], [-2], [4], [-6], [4], [-20], [-6], [-30], [14], [-2], [-32], [-10], [-12], [24], [-32], [26], [24], [38], [14], [-26], [2], [-2], [-18], [-14], [24], [2], [-16], [-20], [2], [18], [10], [8], [-4], [-4], [4], [0], [-14], [16], [26], [30], [20], [-30], [8], [-30], [12], [6], [-22], [-32], [-12], [-18], [-32], [-2], [-6], [6], [-38], [-30], [-8], [-10], [-44], [-34], [-42], [6], [42], [6], [26], [28], [-8], [-20], [20], [-8], [26], [22], [54], [-30], [-32], [22], [-6], [6], [14], [-12], [-2], [42], [-40], [30], [-36], [-32], [-4], [24], [-26], [22], [22], [-46], [-54], [-18], [44], [48], [12], [32], [8], [-34], [20], [-50], [-52], [-8], [32], [18], [42], [-6], [40], [42], [50], [54], [20], [32], [36], [40], [-32], [58], [-28], [40], [-46], [-8], [42], [56], [14], [64], [-16], [-10], [-46], [-4], [46], [52], [42], [4], [6], [42], [-36], [36], [30], [34], [-42], [-36], [60], [16], [42], [-50], [-66], [-54], [-40], [-52], [-34], [0], [-30], [-26], [-10], [28], [-40], [38], [58], [38], [14], [66], [52], [-40], [74], [70], [44], [-28], [-26], [-56], [0], [30], [66], [-44], [-40], [18], [-20], [42], [-62], [6], [36], [0], [-4], [-38], [0], [-32], [16], [-16], [28], [-24], [26], [-52], [70], [-38], [2], [-54], [46], [74], [-70], [4], [6], [-24], [-50], [-12], [16], [-2], [20], [-32], [36], [-54], [-44], [26], [-54], [-44], [-70], [60], [-24], [30], [28], [40], [-58], [-48], [0], [-24], [72], [-50], [28], [-72], [70], [42], [-80], [2], [80], [-44], [-12], [-18], [-82], [-18], [-40], [58], [-28], [-4], [-36], [66], [60], [-76], [-34], [-44], [-24], [-10], [-24], [-46], [-90], [-30], [-42], [-68], [12], [-50], [36], [24], [-56], [50], [18], [42], [0], [-54], [46], [2], [48], [8], [22], [-42], [-82], [-46], [-40], [0], [-84], [-84], [92], [6], [6], [8], [-66], [-12], [70], [-8], [94], [-62], [14], [28], [-56], [54], [50], [18], [60], [-60], [58], [80], [40], [48], [76], [60], [18], [70], [-78], [2], [-76], [-22], [-38], [-84], [22], [-22], [-56], [12], [-24], [16], [34], [-36], [-4], [-40], [-18], [-2], [-46], [8], [20], [-20], [38], [72], [-64], [26], [-76], [-30], [-14], [10], [-6], [-48], [-56], [72], [-60], [50], [90], [-2], [56], [58], [42], [78], [-14], [-16], [46], [-18], [-20], [24], [-50], [74], [-48], [-98], [20], [-60], [-48], [18], [-66], [76], [-2], [-22], [30], [-66], [-76], [58], [-60], [-26], [-2], [-96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 90071992580969002, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4650.2.a.u', 'level': 4650, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [31, -1]], 4, 4], [[[2, 1], [3, 1], [5, -1], [31, -1]], 5, 5], [[[2, -1], [3, 1], [5, 1], [31, 1]], 7, 5], [[[2, 1], [3, 1], [5, 1], [31, 1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [31, 1]], 4, 4], [[[2, -1], [3, 1], [5, -1], [31, -1]], 8, 3], [[[2, 1], [3, 1], [5, -1], [31, 1]], 7, 4], [[[2, -1], [3, -1], [5, 1], [31, 1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [31, 1]], 8, 6], [[[2, 1], [3, -1], [5, -1], [31, -1]], 7, 4], [[[2, 1], [3, 1], [5, 1], [31, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [31, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [31, 1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [31, 1]], 6, 5], [[[2, -1], [3, -1], [5, 1], [31, -1]], 7, 7]], 'ALdims': [6, 6, 7, 5, 6, 6, 5, 7, 7, 4, 4, 8, 4, 7, 8, 4], 'Nk2': 18600, 'analytic_conductor': 37.130436939895375, '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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 94, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 33559082, '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, 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, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '4650.2.a', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 984, 'mf_new_dim': 94, 'num_forms': 68, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 94, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [-2, 0, 0, -8], 'traces': [94, -2, 0, 94, 0, 0, -8, -2, 94, 0, -16, 0, -12, -8, 0, 94, -4, -2, -12, 0, 0, 0, 0, 0, 0, 20, 0, -8, 36, 0, 0, -2, -4, 36, 0, 94, 12, 0, 0, 0, 28, 8, -8, -16, 0, -8, 24, 0, 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mf_twists_nf • Show schema
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id: 1216588
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '4650.2.a.u', 'source_level': 4650, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '930.2.d.d', 'target_level': 930, 'twist_class_label': '930.2.d.d', 'twist_class_level': 930, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1216589
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '4650.2.a.u', 'source_level': 4650, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2790.2.d.d', 'target_level': 2790, 'twist_class_label': '930.2.d.d', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1216590
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '4650.2.a.u', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4650.2.a.u', 'target_level': 4650, 'twist_class_label': '930.2.d.d', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1216591
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '4650.2.a.u', 'source_level': 4650, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4650.2.a.z', 'target_level': 4650, 'twist_class_label': '930.2.d.d', 'twist_class_level': 930, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3661850
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 2}
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id: 3661851
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 3}
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id: 3661852
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 5}
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id: 3661853
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 7}
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id: 3661854
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 11}
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id: 3661855
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 13}
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id: 3661856
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 17}
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id: 3661857
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 19}
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id: 3661858
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 23}
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id: 3661859
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 29}
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id: 3661860
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 31}
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id: 3661861
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 37}
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id: 3661862
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 41}
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id: 3661863
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 43}
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id: 3661864
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 47}
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id: 3661865
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 53}
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id: 3661866
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 59}
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id: 3661867
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 61}
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id: 3661868
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 67}
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id: 3661869
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 71}
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id: 3661870
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 73}
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id: 3661871
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 79}
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id: 3661872
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 83}
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id: 3661873
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 89}
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id: 3661874
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 90071992580969002, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '4650.2.a.u', 'level': 4650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249394000
{'hecke_orbit_code': 90071992580969002, 'n': 1, 'trace_an': 1}
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id: 249394001
{'hecke_orbit_code': 90071992580969002, 'n': 2, 'trace_an': -1}
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id: 249394002
{'hecke_orbit_code': 90071992580969002, 'n': 3, 'trace_an': 1}
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id: 249394003
{'hecke_orbit_code': 90071992580969002, 'n': 4, 'trace_an': 1}
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id: 249394004
{'hecke_orbit_code': 90071992580969002, 'n': 5, 'trace_an': 0}
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id: 249394005
{'hecke_orbit_code': 90071992580969002, 'n': 6, 'trace_an': -1}
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id: 249394006
{'hecke_orbit_code': 90071992580969002, 'n': 7, 'trace_an': 2}
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id: 249394007
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{'hecke_orbit_code': 90071992580969002, 'n': 996, 'trace_an': -4}
-
id: 249394996
{'hecke_orbit_code': 90071992580969002, 'n': 997, 'trace_an': 42}
-
id: 249394997
{'hecke_orbit_code': 90071992580969002, 'n': 998, 'trace_an': 14}
-
id: 249394998
{'hecke_orbit_code': 90071992580969002, 'n': 999, 'trace_an': 2}
-
id: 249394999
{'hecke_orbit_code': 90071992580969002, 'n': 1000, 'trace_an': 0}