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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, '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': [2790, 1, [2171, 1117, 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, [1, 1]], [11, [-3, 1]], [13, [-2, 1]], [17, [0, 1]], [19, [-5, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698855654, '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': '2790.2.a.r', 'level': 2790, '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.a.i', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/2790/r'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.a', 'trace_display': [1, 0, -1, -1], 'trace_hash': 1204945768253193798, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [0], [1], [-1], [0], [-1], [1], [0], [-1], [3], [0], [2], [-1], [0], [1], [0], [0], [5], [-1], [0], [3], [-9], [0], [1], [2], [0], [-1], [0], [0], [1], [1], [0], [0], [1], [0], [8], [5], [0], [-1], [0], [0], [11], [3], [0], [-9], [6], [0], [-6], [1], [0], [2], [9], [0], [-3], [-1], [0], [0], [-6], [0], [-10], [1], [0], [1], [-2], [0], [14], [0], [0], [1], [-9], [0], [-1], [8], [0], [5], [-3], [0], [-1], [-1], [0], [0], [12], [0], [0], [11], [0], [3], [9], [0], [-2], [-9], [0], [6], [-5], [0], [14], [-6], [0], [1]], 'ap': [[1], [0], [-1], [-1], [3], [2], [0], [5], [-9], [0], [1], [8], [0], [11], [6], [9], [-6], [-10], [14], [-9], [-1], [-1], [12], [9], [14], [15], [8], [3], [8], [3], [8], [6], [-18], [14], [-3], [-16], [-7], [-22], [-9], [-6], [12], [5], [0], [-10], [6], [-25], [-19], [-10], [15], [5], [-3], [-12], [-22], [-12], [27], [0], [-6], [5], [8], [24], [-4], [-18], [32], [0], [-22], [-24], [8], [-22], [36], [-4], [-6], [-9], [26], [-19], [-1], [-36], [30], [-7], [-15], [-28], [24], [-10], [0], [5], [14], [-27], [-6], [38], [0], [32], [0], [-21], [-40], [-21], [32], [24], [-36], [-18], [-25], [-34], [-34], [-3], [12], [-15], [14], [-16], [24], [-6], [-27], [-10], [-1], [-22], [15], [14], [-7], [-30], [-31], [33], [-30], [48], [-46], [-10], [33], [15], [17], [3], [23], [-18], [23], [26], [32], [9], [26], [2], [21], [-31], [27], [-25], [-18], [-39], [-43], [-24], [-22], [36], [29], [-21], [-19], [6], [8], [-15], [-22], [18], [-31], [18], [8], [-12], [26], [15], [20], [12], [-54], [12], [-4], [42], [18], [0], [23], [26], [2], [-27], [-60], [-1], [24], [8], [50], [-21], [44], [15], [41], [35], [32], [9], [14], [-66], [-42], [6], [-7], [56], [44], [45], [11], [57], [-52], [12], [0], [-24], [-22], [-19], [-3], [-6], [27], [17], [-31], [5], [54], [-42], [-28], [-66], [-12], [20], [17], [-24], [8], [33], [66], [-49], [-64], [6], [-72], [-6], [-37], [44], [-36], [-1], [39], [-43], [-42], [-48], [50], [42], [-22], [-28], [14], [-3], [-28], [33], [5], [-18], [-39], [-12], [72], [-34], [-70], [-34], [-60], [45], [26], [45], [-40], [-24], [-67], [42], [-27], [-1], [-36], [30], [2], [-13], [54], [68], [65], [-6], [29], [65], [-18], [-73], [63], [12], [-22], [72], [-4], [-52], [71], [-13], [14], [-64], [69], [-46], [2], [15], [0], [26], [42], [-46], [86], [6], [-1], [-30], [-4], [-30], [-75], [63], [24], [-6], [8], [60], [20], [66], [-39], [53], [14], [-81], [-64], [15], [74], [-16], [78], [26], [-6], [-70], [-24], [-36], [42], [-37], [-78], [-76], [-60], [12], [8], [27], [20], [-31], [33], [83], [75], [-52], [-25], [-34], [12], [9], [26], [-42], [-46], [30], [29], [-63], [-34], [-15], [-7], [-52], [44], [-54], [60], [-73], [18], [-54], [80], [-31], [-30], [60], [-4], [65], [15], [26], [-22], [90], [30], [3], [-60], [42], [-37], [21], [39], [54], [38], [71], [-90], [2], [71], [24], [29], [-54], [90], [-22], [38], [21], [-45], [-76], [0], [-61], [-60], [18], [62], [-96], [50], [-66], [-40], [56], [47], [-21], [-64], [-51], [-96], [-58], [-87], [-34], [-1], [-54], [-70], [-60], [11], [45], [41], [-42], [-84], [26], [2], [30], [-31], [21], [-82], [48], [-84], [-64], [-76], [33], [-30], [17], [63], [-78], [66], [-88], [-75], [12], [-64], [-69], [-9], [-99], [80], [78]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 76561193698855654, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2790.2.a.r', 'level': 2790, '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]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [31, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, 1]], 3, 3], [[[2, 1], [3, 1], [5, 1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, -1]], 4, 1], [[[2, 1], [3, 1], [5, -1], [31, 1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [31, 1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [31, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [31, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [31, -1]], 4, 1], [[[2, 1], [3, -1], [5, 1], [31, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [31, 1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [31, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [31, -1]], 4, 4]], 'ALdims': [2, 4, 3, 1, 3, 5, 3, 5, 3, 1, 2, 4, 4, 4, 5, 1], 'Nk2': 11160, 'analytic_conductor': 22.278262163937228, '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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33557222, '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, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '2790.2.a', 'level': 2790, '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': 592, 'mf_new_dim': 50, 'num_forms': 37, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [-2, 0, -2, 0], 'traces': [50, -2, 0, 50, -2, 0, 0, -2, 0, 2, -8, 0, 0, 0, 0, 50, 4, 0, 24, -2, 0, 12, 8, 0, 50, 4, 0, 0, -28, 0, 0, -2, 0, -4, 0, 0, -8, -16, 0, 2, -4, 0, 20, -8, 0, 16, -16, 0, 50, -2, 0, 0, 24, 0, -16, 0, 0, -16, -16, 0, 12, -8, 0, 50, 4, 0, 16, 4, 0, 16, 32, 0, 28, 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0, -24, 0, 0, -320, -164, 0, -20, -112, 0, -256, 12, 0, -196, 288, 0, -300, 80, 0, 16, 512, 0, -112, 96, 0, 68, -192, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 998709
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2790.2.a.r', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '930.2.a.i', 'target_level': 930, 'twist_class_label': '930.2.a.i', 'twist_class_level': 930, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998710
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2790.2.a.r', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2790.2.a.r', 'target_level': 2790, 'twist_class_label': '930.2.a.i', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 998711
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2790.2.a.r', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4650.2.a.bd', 'target_level': 4650, 'twist_class_label': '930.2.a.i', 'twist_class_level': 930, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 998712
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2790.2.a.r', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4650.2.d.d', 'target_level': 4650, 'twist_class_label': '930.2.a.i', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 998713
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2790.2.a.r', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '7440.2.a.k', 'target_level': 7440, 'twist_class_label': '930.2.a.i', 'twist_class_level': 930, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2851475
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 2}
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id: 2851476
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 3}
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id: 2851477
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 5}
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id: 2851478
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 7}
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id: 2851479
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 11}
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id: 2851480
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 13}
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id: 2851481
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 17}
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id: 2851482
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 19}
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id: 2851483
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 23}
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id: 2851484
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 29}
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id: 2851485
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 31}
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id: 2851486
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 37}
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id: 2851487
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 41}
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id: 2851488
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 43}
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id: 2851489
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 47}
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id: 2851490
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 53}
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id: 2851491
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 59}
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id: 2851492
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 61}
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id: 2851493
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 67}
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id: 2851494
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 71}
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id: 2851495
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 73}
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id: 2851496
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 79}
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id: 2851497
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 83}
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id: 2851498
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 89}
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id: 2851499
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 76561193698855654, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '2790.2.a.r', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 241043000
{'hecke_orbit_code': 76561193698855654, 'n': 1, 'trace_an': 1}
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id: 241043001
{'hecke_orbit_code': 76561193698855654, 'n': 2, 'trace_an': 1}
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id: 241043002
{'hecke_orbit_code': 76561193698855654, 'n': 3, 'trace_an': 0}
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id: 241043003
{'hecke_orbit_code': 76561193698855654, 'n': 4, 'trace_an': 1}
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id: 241043004
{'hecke_orbit_code': 76561193698855654, 'n': 5, 'trace_an': -1}
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