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{'Nk2': 24200, 'analytic_conductor': 48.30949322287463, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [11, -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': [6050, 1, [727, 2301], [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, [1, 1]], [7, [-1, 1]], [13, [-4, 1]], [17, [0, 1]], [19, [4, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227304866, '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': '6050.2.a.bd', 'level': 6050, '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, 11], 'level_radical': 110, 'minimal_twist': '1210.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/6050/bd'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6050.2.a', 'trace_display': [1, -1, 0, 1], 'trace_hash': 354255109522742463, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-1], [1], [0], [-1], [1], [1], [-2], [0], [0], [-1], [4], [1], [0], [1], [0], [-2], [-4], [0], [-1], [0], [0], [-1], [0], [4], [5], [1], [-6], [0], [-10], [1], [0], [0], [0], [-2], [-8], [-4], [-4], [0], [-3], [-1], [1], [0], [0], [0], [-9], [-1], [-6], [0], [0], [4], [12], [5], [0], [1], [4], [-6], [6], [0], [11], [-10], [-2], [1], [0], [0], [1], [0], [0], [0], [-6], [-2], [-8], [-8], [0], [-4], [0], [-4], [14], [0], [1], [-3], [12], [-1], [0], [1], [6], [0], [-15], [0], [4], [0], [10], [-9], [0], [-1], [-8], [-6], [0], [0]], 'ap': [[1], [-1], [0], [1], [0], [4], [0], [-4], [0], [-6], [-10], [-8], [-3], [1], [-9], [12], [6], [11], [1], [-6], [-8], [14], [12], [-15], [-8], [-3], [16], [-3], [-7], [-6], [-17], [0], [0], [-22], [-15], [-10], [-8], [13], [-3], [-24], [-18], [5], [-24], [-26], [18], [2], [14], [7], [3], [23], [24], [12], [17], [-6], [6], [-12], [21], [-16], [-2], [6], [-17], [-18], [-32], [24], [-8], [-18], [-4], [4], [27], [-22], [-6], [-36], [19], [-14], [2], [24], [-3], [-20], [27], [-13], [0], [35], [6], [-14], [8], [21], [27], [10], [-15], [-5], [9], [-30], [16], [18], [14], [9], [15], [-33], [4], [-7], [28], [-12], [33], [-45], [-22], [-14], [15], [12], [24], [2], [-32], [10], [6], [8], [20], [18], [25], [45], [-30], [-30], [11], [22], [36], [-3], [-40], [-6], [-1], [0], [37], [4], [-46], [21], [2], [-20], [6], [26], [-42], [-23], [18], [42], [-34], [-45], [-23], [33], [-19], [42], [16], [-18], [20], [-3], [-26], [9], [52], [21], [31], [54], [20], [6], [-2], [21], [36], [60], [-56], [-36], [-12], [9], [20], [4], [29], [-6], [42], [-19], [18], [-26], [14], [-39], [8], [-15], [52], [-34], [-53], [60], [4], [-42], [3], [-30], [-2], [64], [-13], [-18], [34], [-36], [-40], [-54], [51], [-24], [-22], [40], [30], [-39], [-45], [14], [-38], [41], [-12], [0], [-4], [69], [9], [-28], [52], [-45], [28], [12], [6], [-55], [-17], [-18], [-33], [-54], [-58], [32], [-6], [37], [51], [53], [60], [-30], [-44], [12], [40], [26], [-46], [57], [13], [9], [-61], [30], [18], [24], [36], [-70], [-35], [-61], [-24], [-24], [-47], [60], [-4], [39], [52], [-42], [39], [38], [6], [-6], [65], [1], [-6], [-8], [-53], [-33], [11], [-50], [-30], [-76], [27], [15], [7], [-36], [50], [1], [4], [-58], [22], [-56], [-12], [35], [-79], [54], [9], [74], [9], [-19], [-44], [-54], [16], [-54], [50], [-30], [-54], [-12], [-12], [6], [28], [-18], [26], [-42], [-12], [13], [-38], [48], [32], [-81], [14], [-38], [3], [71], [78], [46], [-33], [18], [51], [31], [57], [2], [24], [12], [-56], [-45], [-58], [82], [-30], [-83], [60], [53], [-70], [-83], [51], [-54], [2], [48], [-16], [-81], [56], [60], [-43], [-78], [5], [-8], [46], [54], [42], [-28], [36], [90], [-70], [28], [12], [12], [-22], [-80], [51], [-71], [35], [-54], [0], [-54], [-90], [-36], [88], [87], [63], [-6], [28], [-62], [-66], [-29], [-43], [36], [50], [-69], [9], [14], [-74], [84], [90], [-32], [15], [-92], [-51], [72], [64], [42], [38], [-81], [-28], [-32], [16], [93], [62], [42], [48], [73], [18], [76], [74], [-75], [-4], [-21], [41], [-60], [31], [42], [93], [38], [34], [51], [4], [-30], [46], [66], [-36], [2], [-14], [-18], [-66], [-101], [-12], [0], [18], [-2], [-27], [-66], [-26], [60], [-75], [42], [74], [-96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 130604389227304866, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '6050.2.a.bd', 'level': 6050, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [18, 24, 23, 22, 24, 16, 19, 27], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [91, 96, 97, 89, 93, 98, 92, 90], 'Nk2': 24200, 'analytic_conductor': 48.30949322287463, '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': [6050, 1, [727, 2301], [1, 1]], 'conrey_index': 1, 'cusp_dim': 919, 'dim': 173, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17, 19], 'hecke_orbit_code': 33560482, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '6050.2.a', 'level': 6050, '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, 11], 'level_radical': 110, 'mf_dim': 1062, 'mf_new_dim': 173, 'num_forms': 92, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 173, 'sturm_bound': 1980, 'trace_bound': 19, 'trace_display': [-1, 2, 0, 8], 'traces': [173, -1, 2, 173, 0, -2, 8, -1, 177, 0, 0, 2, 2, -4, 0, 173, -10, -13, 18, 0, -4, 0, -12, -2, 0, 0, -16, 8, -2, 0, 12, -1, 0, 0, 0, 177, 16, 2, 24, 0, 0, 4, 12, 0, 0, 12, 0, 2, 189, 0, -18, 2, 12, -2, 0, -4, 0, -4, -38, 0, 26, 8, 8, 173, 0, 0, 50, -10, -52, 0, -36, -13, -2, 18, 0, 18, 0, 0, 28, 0, 173, -6, -12, -4, 0, -18, -32, 0, -52, 0, 120, -12, 52, 16, 0, -2, 50, -25, 0, 0, 10, 16, 60, 0, 0, 26, -28, -16, 34, 0, 60, 8, 6, -6, 0, -2, 26, -4, -8, 0, 0, -38, 64, 12, 0, 28, -8, -1, 80, 0, -44, 0, 44, 26, 0, 0, -24, 48, -54, 0, 8, -8, 0, 177, 0, -10, 90, 16, 6, 0, -12, 2, 14, 0, 0, 24, -50, 48, -12, 0, -16, -25, 78, 0, 0, -44, 0, 4, 229, 0, 64, 12, 26, 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-4, -96, -18, -176, 0, -16, 0, 140, 0, 0, 4, 214, 4, -266, 0, -116, 0, 0, 136, 0, 24, -156, 130, -116, 0, -50, -256, -48, 0, 0, 112, 256, -4, -310, 0, 250, 6, -308, 4, 0, 60, 22, -36, 196, 0, -106, 32, -216, -38, 0, 0, 66, -32, 536, 0, -344, -48, 54, 78, 0, -96, 0, 32, 84, 0, 277, -98, -124, 40, 0, -72, 32, 0, 320, 0, 342, 44, 216, 148, 0, 26, 72, 16, 0, 0, -66, -294, -208, 48, 0, 180, 48, 36, 256, 0, 152, 8, 30, 56, 0, -86, -78, 52, 464, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1286521
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1210.2.a.f', 'target_level': 1210, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1286522
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1210.2.a.l', 'target_level': 1210, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1286523
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '6050.2.a.g', 'target_level': 6050, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1286524
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '6050.2.a.bd', 'target_level': 6050, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1286525
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9680.2.a.k', 'target_level': 9680, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1286526
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '6050.2.a.bd', 'source_level': 6050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '9680.2.a.l', 'target_level': 9680, 'twist_class_label': '1210.2.a.f', 'twist_class_level': 1210, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4075975
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 2}
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id: 4075976
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 3}
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id: 4075977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 5}
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id: 4075978
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 7}
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id: 4075979
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 11}
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id: 4075980
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 13}
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id: 4075981
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 17}
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id: 4075982
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 19}
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id: 4075983
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 23}
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id: 4075984
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 29}
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id: 4075985
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 31}
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id: 4075986
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 37}
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id: 4075987
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 41}
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id: 4075988
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 43}
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id: 4075989
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 47}
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id: 4075990
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 53}
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id: 4075991
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 59}
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id: 4075992
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 61}
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id: 4075993
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 67}
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id: 4075994
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 71}
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id: 4075995
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 73}
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id: 4075996
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 79}
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id: 4075997
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 83}
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id: 4075998
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 89}
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id: 4075999
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 130604389227304866, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '6050.2.a.bd', 'level': 6050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68275033
{'hecke_orbit_code': 130604389227304866, 'n': 1, 'trace_an': 1}
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id: 68275034
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