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mf_newforms • Show schema
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{'Nk2': 18200, 'analytic_conductor': 36.33193291968257, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [7, -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': [4550, 1, [3277, 3251, 4201], [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': [[3, [-2, 1]], [11, [-2, 1]], [17, [2, 1]], [19, [0, 1]], [23, [-8, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562004934, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4550.2.a.m', 'level': 4550, '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, 5, 7, 13], 'level_radical': 910, 'minimal_twist': '910.2.e.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+2q^{3}+q^{4}-2q^{6}+q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/4550/m'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4550.2.a', 'trace_display': [-1, 2, 0, 1], 'trace_hash': 1597661187943615910, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.058', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.183', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [1, -1, 2, 1, 0, -2, 1, -1, 1, 0, 2, 2, 1, -1, 0, 1, -2, -1, 0, 0, 2, -2, 8, -2, 0, -1, -4, 1, -2, 0, 4, -1, 4, 2, 0, 1, -2, 0, 2, 0, 0, -2, 8, 2, 0, -8, 4, 2, 1, 0, -4, 1, -4, 4, 0, -1, 0, 2, 4, 0, 2, -4, 1, 1, 0, -4, 12, -2, 16, 0, -2, -1, -10, 2, 0, 0, 2, -2, 0, 0, -11, 0, 4, 2, 0, -8, -4, -2, 4, 0, 1, 8, 8, -4, 0, -2, 14, -1, 2, 0, -6, 4, 10, -1, 0, 4, 0, -4, -6, 0, -4, 1, 4, 0, 0, -2, 1, -4, -2, 0, -7, -2, 0, 4, 0, -1, 0, -1, 16, 0, 12, 4, 0, -12, 0, 2, 6, -16, 4, 0, 8, 2, 2, 1, 0, 10, 2, -2, -18, 0, -2, 0, -2, -2, 0, 2, 14, 0, -8, 0, 8, 11, 20, 0, 0, -4, 0, -2, 1, 0, 0, 8, -6, 4, 0, 2, 8, -4, -24, 0, -18, -1, 4, -8, 0, -8, -4, 4, -4, 0, 20, 2, 2, -14, 0, 1, 22, -2, 16, 0, 24, 6, -2, -4, 0, 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [2], [1], [0], [-2], [1], [-1], [1], [0], [2], [2], [1], [-1], [0], [1], [-2], [-1], [0], [0], [2], [-2], [8], [-2], [0], [-1], [-4], [1], [-2], [0], [4], [-1], [4], [2], [0], [1], [-2], [0], [2], [0], [0], [-2], [8], [2], [0], [-8], [4], [2], [1], [0], [-4], [1], [-4], [4], [0], [-1], [0], [2], [4], [0], [2], [-4], [1], [1], [0], [-4], [12], [-2], [16], [0], [-2], [-1], [-10], [2], [0], [0], [2], [-2], [0], [0], [-11], [0], [4], [2], [0], [-8], [-4], [-2], [4], [0], [1], [8], [8], [-4], [0], [-2], [14], [-1], [2], [0]], 'ap': [[-1], [2], [0], [1], [2], [1], [-2], [0], [8], [-2], [4], [-2], [0], [8], [4], [-4], [4], [2], [12], [-2], [-10], [0], [4], [4], [14], [-6], [10], [0], [-6], [4], [0], [12], [6], [4], [-18], [-2], [14], [20], [0], [-6], [-24], [-18], [20], [2], [22], [16], [0], [8], [28], [20], [-24], [-6], [4], [-20], [-10], [12], [-6], [-24], [-16], [-6], [-14], [-2], [32], [-24], [2], [-22], [10], [28], [36], [32], [-14], [-30], [-10], [-32], [30], [12], [10], [-30], [-10], [-20], [-36], [34], [-14], [-14], [32], [-24], [-38], [-22], [0], [32], [-18], [24], [0], [20], [-10], [-2], [44], [6], [22], [-10], [-8], [-10], [-42], [-10], [-32], [-14], [24], [18], [36], [-22], [30], [34], [-6], [8], [46], [2], [40], [10], [-36], [0], [16], [4], [6], [-52], [-36], [30], [30], [-24], [14], [-46], [-34], [16], [4], [-16], [48], [-48], [-26], [32], [-30], [6], [4], [-22], [-8], [-36], [-22], [-40], [-34], [-22], [12], [0], [22], [26], [20], [-30], [4], [0], [-16], [-8], [-50], [24], [-60], [-36], [-16], [28], [-18], [-16], [-28], [18], [22], [-30], [62], [4], [-12], [2], [32], [-50], [-38], [-6], [-42], [-30], [-24], [-12], [56], [-54], [40], [-6], [-20], [-24], [-42], [-44], [-2], [-12], [-48], [-36], [-32], [66], [58], [24], [-18], [26], [10], [16], [-6], [-38], [12], [-46], [56], [-12], [-66], [-52], [-40], [2], [64], [-36], [28], [-8], [-4], [-38], [32], [46], [-38], [-36], [-2], [32], [-50], [14], [6], [-4], [-62], [-22], [-8], [28], [-50], [54], [-2], [-24], [-28], [18], [-68], [24], [-36], [-36], [42], [-54], [30], [-16], [4], [36], [-58], [-28], [6], [-36], [-48], [-6], [6], [-30], [-2], [52], [62], [42], [0], [-64], [-24], [46], [-30], [60], [18], [-12], [-68], [-44], [58], [28], [26], [40], [62], [-4], [36], [10], [-10], [36], [14], [2], [26], [-16], [4], [-40], [64], [62], [64], [6], [-78], [-26], [-18], [0], [-8], [22], [16], [6], [4], [60], [78], [82], [-36], [-36], [8], [70], [-56], [66], [-18], [36], [14], [70], [58], [-52], [8], [-22], [8], [34], [62], [18], [52], [38], [-22], [-72], [-66], [6], [6], [28], [20], [-36], [10], [28], [16], [32], [-42], [60], [-22], [-14], [64], [-22], [-46], [-56], [16], [-52], [34], [12], [94], [-60], [-8], [-94], [-20], [-58], [18], [46], [-86], [6], [-12], [-72], [60], [72], [-62], [18], [24], [58], [66], [0], [18], [0], [-10], [84], [36], [48], [98], [-48], [-68], [60], [64], [-34], [10], [-38], [20], [-74], [-64], [22], [12], [12], [-46], [38], [-44], [78], [46], [-22], [-30], [22], [18], [4], [-76], [54], [44], [30], [76], [80], [-88], [86], [-60], [64], [-62], [42], [-32], [-48], [-2], [40], [24], [-64], [48], [22], [18], [62], [-74], [-34], [70], [54], [-8], [36], [86], [-42], [36], [-10], [88], [-88]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 54043195562004934, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4550.2.a.m', 'level': 4550, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 8, 8, 4, 9, 7, 7, 9, 10, 5, 5, 10, 5, 9, 9, 5], 'Nk2': 18200, 'analytic_conductor': 36.33193291968257, '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': [4550, 1, [3277, 3251, 4201], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 817, 'dim': 114, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 17, 19, 23], 'hecke_orbit_code': 33558982, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '4550.2.a', 'level': 4550, '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, 5, 7, 13], 'level_radical': 910, 'mf_dim': 864, 'mf_new_dim': 114, 'num_forms': 56, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 1680, 'trace_bound': 19, 'trace_display': [2, -4, 0, 0], 'traces': [114, 2, -4, 114, 0, 4, 0, 2, 110, 0, 0, -4, 0, 0, 0, 114, 12, 10, 20, 0, -4, 4, -4, 4, 0, 0, -16, 0, 4, 0, -8, 2, 16, 12, 0, 110, -4, 12, 0, 0, 20, 0, 32, 0, 0, -8, -8, -4, 114, 0, 88, 0, 20, 64, 0, 0, -8, 20, 60, 0, 8, 0, 16, 114, 0, 56, -16, 12, 112, 0, 128, 10, 44, -16, 0, 20, 0, 4, -20, 0, 258, 20, 36, -4, 0, 16, 32, 4, 92, 0, -2, -4, -16, 16, 0, 4, -28, 2, 144, 0, -8, -16, -24, 0, 0, 12, 0, -16, -12, 0, 56, 0, -64, 48, 0, 4, 0, 28, 0, 0, 126, -56, 64, -8, 0, 0, -4, 2, -104, 0, -28, 16, 4, -52, 0, 12, 12, 64, -12, 0, 128, -40, 8, 110, 0, -4, -4, -4, -100, 0, 16, 12, 28, -8, 0, 0, 48, -64, 80, 0, 0, 66, 48, 20, 0, -4, -56, 0, 114, 0, 156, 32, 16, -8, 0, 0, 32, 76, 128, 0, 0, 6, 68, -8, 0, -28, 16, -8, 8, 0, 0, -4, 68, 76, 0, 114, -12, 8, -80, 0, 248, 56, -40, 88, 0, -8, 96, 0, 16, 0, -8, 20, 48, -40, 0, 64, -20, 20, -72, 0, -32, 16, 0, 0, 0, 20, 4, -8, -112, 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20, 8, -136, 164, 0, -16, 244, -32, -216, 0, -200, -128, -176, 60, 0, -168, 112, 160, 96, 0, -216, -32, 212, -412, 0, -24, 128, 24, -112, 0, 350, 16, -320, -44, 0, 172, 64, -38, -520, 0, -44, -52, 4, 0, 0, 8, -236, 144, 184, 0, -140, -48, 120, 108, 0, -280, 96, -12, -40, 0, -308, 0, 80, 16, 0, 16, -152, 52, -240, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1210432
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4550.2.a.m', 'source_level': 4550, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '910.2.e.c', 'target_level': 910, 'twist_class_label': '910.2.e.c', 'twist_class_level': 910, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1210433
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4550.2.a.m', 'source_level': 4550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4550.2.a.m', 'target_level': 4550, 'twist_class_label': '910.2.e.c', 'twist_class_level': 910, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1210434
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4550.2.a.m', 'source_level': 4550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4550.2.a.q', 'target_level': 4550, 'twist_class_label': '910.2.e.c', 'twist_class_level': 910, '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: 3629875
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 2}
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id: 3629876
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 3}
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id: 3629877
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 5}
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id: 3629878
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 7}
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id: 3629879
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 11}
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id: 3629880
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 13}
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id: 3629881
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 17}
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id: 3629882
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 19}
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id: 3629883
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 23}
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id: 3629884
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 29}
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id: 3629885
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 31}
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id: 3629886
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 37}
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id: 3629887
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 41}
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id: 3629888
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 43}
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id: 3629889
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 47}
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id: 3629890
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 53}
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id: 3629891
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 59}
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id: 3629892
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 61}
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id: 3629893
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 67}
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id: 3629894
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 71}
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id: 3629895
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 73}
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id: 3629896
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 79}
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id: 3629897
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 83}
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id: 3629898
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 89}
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id: 3629899
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 54043195562004934, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '4550.2.a.m', 'level': 4550, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 57361891
{'hecke_orbit_code': 54043195562004934, 'n': 1, 'trace_an': 1}
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id: 57361892
{'hecke_orbit_code': 54043195562004934, 'n': 2, 'trace_an': -1}
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id: 57361893
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