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{'Nk2': 22848, 'analytic_conductor': 45.610549634555355, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [17, 1]], 'atkin_lehner_string': '---+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5712, 1, [2143, 1429, 3809, 3265, 2689], [1, 1, 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, [-3, 1]], [11, [1, 1]], [13, [-1, 1]], [19, [6, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563536, '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': '5712.2.a.bb', 'level': 5712, '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, 7, 17], 'level_radical': 714, 'minimal_twist': '714.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+3q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5712/bb'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5712.2.a', 'trace_display': [0, 1, 3, 1], 'trace_hash': 2237201787768263843, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [3], [0], [1], [0], [1], [0], [-1], [0], [1], [0], [3], [0], [-1], [0], [-6], [0], [1], [0], [2], [0], [4], [0], [1], [0], [-2], [0], [0], [0], [-1], [0], [3], [0], [5], [0], [1], [0], [4], [0], [9], [0], [3], [0], [0], [0], [1], [0], [-1], [0], [11], [0], [-3], [0], [-6], [0], [-4], [0], [6], [0], [1], [0], [3], [0], [11], [0], [2], [0], [12], [0], [-5], [0], [4], [0], [-1], [0], [15], [0], [1], [0], [-1], [0], [-3], [0], [-2], [0], [9], [0], [1], [0], [0], [0], [-18], [0], [-9], [0], [-1], [0]], 'ap': [[0], [1], [3], [1], [-1], [1], [-1], [-6], [2], [-2], [0], [5], [4], [9], [0], [11], [-4], [6], [11], [12], [-5], [15], [-1], [9], [-9], [8], [7], [8], [-2], [-9], [10], [10], [0], [1], [-9], [8], [-10], [-10], [3], [-18], [-18], [12], [-15], [-8], [20], [-8], [10], [-24], [-12], [-17], [3], [15], [22], [-23], [15], [-31], [-18], [-15], [-30], [26], [21], [0], [-28], [3], [-30], [-18], [-1], [-22], [-27], [-13], [5], [8], [-12], [32], [10], [-24], [-6], [-4], [18], [38], [26], [6], [-40], [-28], [-16], [4], [-1], [-25], [2], [-8], [32], [21], [-23], [-2], [-36], [16], [16], [-16], [0], [25], [22], [-2], [11], [-26], [-32], [14], [23], [18], [-24], [26], [32], [8], [43], [19], [-48], [7], [-11], [-4], [42], [48], [-22], [-48], [27], [8], [-21], [-7], [5], [40], [-17], [-14], [12], [26], [12], [36], [43], [-34], [-32], [11], [-14], [30], [29], [-2], [-9], [11], [-31], [-11], [-46], [32], [-50], [37], [23], [-22], [20], [-51], [8], [-40], [-20], [28], [-32], [49], [-4], [6], [12], [-53], [8], [-16], [-9], [4], [-20], [15], [62], [-13], [-16], [-19], [-52], [-18], [-14], [38], [-40], [10], [20], [-26], [-38], [30], [-39], [-20], [-15], [-14], [46], [53], [39], [33], [39], [38], [15], [48], [40], [-5], [-50], [-6], [-36], [42], [41], [-50], [7], [-42], [-57], [32], [26], [18], [-40], [-30], [-29], [21], [-51], [26], [62], [-73], [-66], [-33], [52], [-50], [10], [-1], [65], [48], [50], [-56], [-13], [40], [0], [-20], [-46], [-24], [-34], [-62], [53], [36], [36], [-50], [-63], [28], [-11], [22], [-50], [39], [68], [12], [79], [-13], [-22], [16], [24], [-65], [8], [10], [7], [-68], [43], [64], [41], [-66], [-44], [-46], [22], [2], [30], [-3], [32], [-39], [76], [-7], [-36], [44], [6], [-21], [12], [64], [-55], [61], [10], [1], [33], [53], [-53], [39], [38], [-72], [-56], [-65], [30], [10], [-16], [-36], [79], [-59], [-55], [80], [-78], [16], [-28], [-7], [11], [-1], [-8], [-28], [42], [40], [72], [-68], [48], [-38], [-21], [-44], [-15], [-12], [28], [6], [22], [-72], [-19], [-22], [24], [-66], [-30], [-48], [50], [71], [50], [-58], [-1], [6], [-10], [19], [54], [-78], [8], [-56], [-1], [49], [30], [-56], [-3], [62], [-15], [-43], [-34], [19], [-87], [-13], [-2], [74], [85], [-8], [62], [91], [-36], [12], [-46], [87], [19], [-12], [7], [29], [60], [83], [39], [24], [2], [8], [-64], [42], [15], [40], [-2], [0], [-54], [54], [77], [4], [-55], [64], [75], [-45], [-53], [-19], [-82], [-86], [-92], [-54], [-88], [29], [-44], [62], [45], [74], [-53], [-14], [78], [55], [82], [60], [72], [-76], [-48], [-2], [100], [18], [36], [24], [-53], [-55], [86], [-6], [38], [1], [-2], [10], [30], [88], [51], [-56], [36], [21], [41], [70], [15], [-42], [-28], [88]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 121597189972563536, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5712.2.a.bb', 'level': 5712, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 5, 8, 4, 5, 7, 4, 8, 7, 6, 5, 6, 6, 7, 6, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [53, 75, 70, 61, 58, 73, 70, 57, 65, 65, 68, 60, 62, 64, 71, 61], 'Nk2': 22848, 'analytic_conductor': 45.610549634555355, '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': [5712, 1, [2143, 1429, 3809, 3265, 2689], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 96, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 19], 'hecke_orbit_code': 33560144, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5], 'label': '5712.2.a', 'level': 5712, '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, 7, 17], 'level_radical': 714, 'mf_dim': 1176, 'mf_new_dim': 96, 'num_forms': 54, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2304, 'trace_bound': 19, 'trace_display': [0, 0, 0, -4], 'traces': [96, 0, 0, 0, 0, 0, -4, 0, 96, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, -40, 0, 0, 0, 0, 0, 96, 0, 12, 0, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, -32, 0, 16, 0, -48, 0, 96, 0, -80, 0, 0, 0, 24, 0, -32, 0, 24, 0, 0, 0, -32, 0, -32, 0, -8, 0, 0, 0, -32, 0, 0, 0, 40, 0, 16, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 48, 0, 32, 0, 0, 0, 32, 0, 16, 0, 64, 0, 48, 0, 64, 0, 0, 0, -32, 0, -28, 0, 0, 0, -88, 0, 64, 0, -32, 0, -64, 0, 0, 0, 0, 0, -8, 0, -32, 0, 24, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1270333
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5712.2.a.bb', 'source_level': 5712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '714.2.a.g', 'target_level': 714, 'twist_class_label': '714.2.a.g', 'twist_class_level': 714, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1270334
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5712.2.a.bb', 'source_level': 5712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2142.2.a.a', 'target_level': 2142, 'twist_class_label': '714.2.a.g', 'twist_class_level': 714, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1270335
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5712.2.a.bb', 'source_level': 5712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4998.2.a.bj', 'target_level': 4998, 'twist_class_label': '714.2.a.g', 'twist_class_level': 714, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1270336
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 28, 'source_is_minimal': False, 'source_label': '5712.2.a.bb', 'source_level': 5712, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '5712.2.a.bb', 'target_level': 5712, 'twist_class_label': '714.2.a.g', 'twist_class_level': 714, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3976625
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 2}
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id: 3976626
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 3}
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id: 3976627
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 5}
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id: 3976628
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 7}
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id: 3976629
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 11}
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id: 3976630
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 13}
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id: 3976631
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 17}
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id: 3976632
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 19}
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id: 3976633
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 23}
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id: 3976634
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 29}
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id: 3976635
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 31}
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id: 3976636
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 37}
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id: 3976637
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 41}
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id: 3976638
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 43}
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id: 3976639
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 47}
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id: 3976640
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 53}
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id: 3976641
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 59}
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id: 3976642
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 61}
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id: 3976643
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 67}
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id: 3976644
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 71}
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id: 3976645
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 73}
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id: 3976646
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 79}
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id: 3976647
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 83}
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id: 3976648
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 89}
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id: 3976649
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 121597189972563536, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '5712.2.a.bb', 'level': 5712, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67611199
{'hecke_orbit_code': 121597189972563536, 'n': 1, 'trace_an': 1}
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