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{'Nk2': 10296, 'analytic_conductor': 20.55349348027757, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [11, 1], [13, 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': [2574, 1, [1145, 937, 1783], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 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, [-2, 1]], [7, [2, 1]], [17, [4, 1]], [23, [-4, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632462, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2574.2.a.l', 'level': 2574, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11, 13], 'level_radical': 858, 'minimal_twist': '2574.2.a.l', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{5}-2q^{7}-q^{8}-2q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/2574/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2574.2.a', 'trace_display': [-1, 0, 2, -2], 'trace_hash': 817093066512669560, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [2], [0], [-2], [-1], [0], [-2], [-1], [0], [-1], [2], [0], [1], [-4], [0], [2], [2], [0], [1], [4], [0], [-1], [1], [0], [-2], [4], [0], [-6], [-1], [0], [4], [-4], [0], [-2], [-2], [0], [-2], [-2], [0], [-4], [-1], [0], [-4], [8], [0], [-3], [1], [0], [-1], [-4], [0], [-2], [2], [0], [-4], [-4], [0], [-14], [6], [0], [1], [-2], [0], [2], [-4], [0], [4], [0], [0], [-10], [2], [0], [2], [2], [0], [-16], [2], [0], [2], [12], [0], [-8], [4], [0], [1], [-10], [0], [2], [4], [0], [-8], [4], [0], [14], [3], [0], [-1]], 'ap': [[-1], [0], [2], [-2], [-1], [-1], [-4], [2], [4], [4], [-6], [-2], [-2], [-4], [8], [-4], [-4], [-14], [2], [0], [-10], [-16], [12], [-10], [14], [12], [-4], [-4], [-14], [4], [4], [-12], [10], [0], [-22], [10], [2], [2], [-8], [-20], [12], [-2], [12], [-6], [14], [-16], [-12], [26], [12], [-6], [-16], [-24], [-10], [0], [-12], [0], [-24], [-2], [-22], [-18], [24], [2], [-6], [20], [-6], [-22], [-14], [-2], [0], [22], [18], [16], [-24], [-10], [-2], [8], [12], [-18], [-18], [30], [20], [26], [8], [30], [24], [4], [6], [14], [22], [-6], [-8], [0], [34], [24], [-38], [0], [18], [-4], [-32], [18], [8], [18], [-36], [16], [-32], [34], [-12], [-6], [-24], [26], [20], [22], [-6], [-10], [6], [24], [2], [24], [8], [40], [46], [-2], [-24], [44], [-30], [-16], [-14], [-20], [16], [50], [10], [0], [-12], [-18], [14], [18], [-42], [-6], [44], [-24], [42], [-6], [-20], [20], [14], [8], [22], [-56], [-32], [0], [-10], [36], [4], [-12], [28], [-20], [40], [-6], [-42], [-30], [36], [0], [22], [-16], [-42], [56], [-40], [-42], [-34], [8], [36], [-58], [60], [-18], [4], [-16], [-22], [30], [40], [14], [-62], [60], [14], [-14], [64], [-20], [-18], [-2], [6], [48], [2], [-36], [-20], [-18], [12], [-12], [34], [34], [-30], [-36], [-10], [-60], [-14], [26], [-36], [12], [26], [68], [-6], [-60], [54], [12], [-4], [-36], [-56], [26], [-40], [-20], [-8], [-34], [-70], [-2], [30], [-14], [-48], [54], [-48], [24], [44], [36], [-58], [0], [2], [-20], [-52], [72], [-66], [58], [-20], [-28], [-36], [32], [20], [6], [2], [-20], [-70], [36], [-14], [-28], [66], [-2], [40], [70], [28], [44], [26], [-62], [12], [-62], [44], [-8], [-46], [-2], [78], [-48], [18], [-6], [-62], [-52], [-46], [2], [46], [-40], [-2], [70], [36], [78], [-30], [56], [44], [-70], [-68], [46], [-22], [-48], [-6], [2], [22], [-48], [52], [-8], [10], [68], [-38], [32], [-24], [44], [-48], [-22], [-54], [-42], [32], [64], [76], [54], [-44], [50], [-40], [-10], [8], [-38], [-24], [0], [-40], [-26], [20], [48], [70], [-36], [44], [2], [72], [46], [-86], [-38], [10], [58], [-24], [-68], [-46], [72], [-8], [12], [2], [-28], [-34], [14], [-26], [-32], [70], [-28], [10], [-4], [26], [-28], [-6], [-70], [0], [4], [6], [-82], [-42], [4], [18], [-40], [-88], [-84], [24], [-72], [46], [36], [-72], [-76], [-8], [22], [86], [-54], [-26], [84], [-64], [-32], [72], [-16], [34], [-20], [-56], [34], [-52], [42], [6], [-54], [78], [66], [30], [-56], [78], [-58], [50], [40], [-50], [6], [-36], [56], [-48], [-86], [-38], [-96], [40], [-74], [-58], [48], [62], [-34], [-10], [40], [-30], [-70], [70], [-12], [50], [64], [24], [-60], [-42], [-12], [-104], [12], [-10], [-52], [-64], [-90], [48], [-12], [-30], [-42], [96], [-22], [-62], [-36]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934632462, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2574.2.a.l', 'level': 2574, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 4, 4, 1, 4, 4, 2, 5, 4, 1, 1, 4, 4, 4, 5, 2], 'Nk2': 10296, 'analytic_conductor': 20.55349348027757, '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': [2574, 1, [1145, 937, 1783], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 489, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 33557006, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3], 'label': '2574.2.a', 'level': 2574, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11, 13], 'level_radical': 858, 'mf_dim': 520, 'mf_new_dim': 50, 'num_forms': 36, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1008, 'trace_bound': 11, 'trace_display': [0, 0, -8, 0], 'traces': [50, 0, 0, 50, -8, 0, 0, 0, 0, 0, -2, 0, 0, -8, 0, 50, -16, 0, 8, -8, 0, 0, 12, 0, 70, -6, 0, 0, 24, 0, 28, 0, 0, 0, 4, 0, 16, 24, 0, 0, 24, 0, 32, -2, 0, 32, 20, 0, 90, 16, 0, 0, -4, 0, 12, -8, 0, -4, 40, 0, 32, 4, 0, 50, 8, 0, 16, -16, 0, 48, -28, 0, -32, 24, 0, 8, 8, 0, -32, -8, 0, -16, 32, 0, 8, -4, 0, 0, -12, 0, 4, 12, 0, 8, 16, 0, 12, -16, 0, 70, 24, 0, -52, -6, 0, 16, 20, 0, -40, -12, 0, 0, 56, 0, -8, 24, 0, -24, 48, 0, 50, -36, 0, 28, -48, 0, 32, 0, 0, 4, -24, 0, 32, -8, 0, 0, 12, 0, 112, 4, 0, -56, 0, 0, 24, -32, 0, 16, -80, 0, 56, 24, 0, 0, 104, 0, 4, -24, 0, 0, 24, 0, 120, 24, 0, -16, 0, 0, 50, -28, 0, 32, 40, 0, 56, -2, 0, -40, 68, 0, 84, 0, 0, 32, 76, 0, 4, 20, 0, -56, -52, 0, -8, -8, 0, 90, 40, 0, -52, 16, 0, -68, 0, 0, -8, 0, 0, 0, 8, 0, 40, -4, 0, -28, 64, 0, -16, 48, 0, 12, -8, 0, 76, -8, 0, -80, 72, 0, 32, 8, 0, -4, -120, 0, 68, 40, 0, 20, -8, 0, 8, 0, 0, 32, 56, 0, 0, 4, 0, 12, 40, 0, 32, -24, 0, 50, -44, 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12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 965574
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2574.2.a.l', 'source_level': 2574, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '2574.2.a.l', 'target_level': 2574, 'twist_class_label': '2574.2.a.l', 'twist_class_level': 2574, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 965575
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2574.2.a.l', 'source_level': 2574, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '2574.2.a.s', 'target_level': 2574, 'twist_class_label': '2574.2.a.l', 'twist_class_level': 2574, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2734450
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 2}
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id: 2734451
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 3}
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id: 2734452
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 5}
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id: 2734453
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 7}
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id: 2734454
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 11}
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id: 2734455
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 13}
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id: 2734456
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 17}
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id: 2734457
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 19}
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id: 2734458
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 23}
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id: 2734459
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 29}
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id: 2734460
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 31}
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id: 2734461
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 37}
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id: 2734462
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 41}
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id: 2734463
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 43}
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id: 2734464
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 47}
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id: 2734465
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 53}
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id: 2734466
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 59}
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id: 2734467
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 61}
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id: 2734468
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 67}
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id: 2734469
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 71}
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id: 2734470
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 73}
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id: 2734471
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 79}
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id: 2734472
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 83}
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id: 2734473
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 89}
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id: 2734474
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595934632462, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2574.2.a.l', 'level': 2574, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55800217
{'hecke_orbit_code': 49539595934632462, 'n': 1, 'trace_an': 1}
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id: 55800218
{'hecke_orbit_code': 49539595934632462, 'n': 2, 'trace_an': -1}
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id: 55800219
{'hecke_orbit_code': 49539595934632462, 'n': 3, 'trace_an': 0}
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id: 55800220
{'hecke_orbit_code': 49539595934632462, 'n': 4, 'trace_an': 1}
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id: 55800221
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