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mf_newforms • Show schema
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{'Nk2': 7424, 'analytic_conductor': 14.820234615149639, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [29, -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': [1856, 1, [639, 581, 321], [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': [[3, [-1, 1]], [5, [-1, 1]], [17, [6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631744, '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': '1856.2.a.l', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '928.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-2q^{9}-5q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1856/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1856.2.a', 'trace_display': [0, 1, 1, 0], 'trace_hash': 616553319525285161, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.137', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [0], [0], [-2], [0], [-5], [0], [-1], [0], [1], [0], [-6], [0], [4], [0], [0], [0], [6], [0], [-4], [0], [-5], [0], [1], [0], [-9], [0], [-5], [0], [0], [0], [0], [0], [-1], [0], [-8], [0], [-1], [0], [-2], [0], [-9], [0], [-7], [0], [-6], [0], [9], [0], [-5], [0], [4], [0], [14], [0], [-10], [0], [0], [0], [-1], [0], [-4], [0], [6], [0], [6], [0], [-4], [0], [-4], [0], [0], [0], [17], [0], [1], [0], [6], [0], [-6], [0], [1], [0], [0], [0], [0], [0], [-9], [0], [4], [0], [-4], [0], [10], [0]], 'ap': [[0], [1], [1], [0], [-5], [-1], [-6], [4], [6], [1], [-9], [0], [-8], [-1], [-9], [9], [14], [-10], [-4], [6], [-4], [17], [6], [0], [-4], [0], [-2], [12], [1], [-18], [-16], [-4], [8], [-14], [-5], [12], [0], [-5], [-10], [-14], [10], [-21], [24], [12], [22], [20], [-1], [2], [-22], [-16], [15], [-22], [1], [13], [-3], [-5], [-6], [-11], [10], [15], [6], [18], [11], [-24], [17], [18], [7], [-22], [-34], [25], [-18], [5], [12], [7], [-24], [-8], [32], [-1], [3], [10], [-30], [10], [-18], [-40], [2], [-36], [-26], [-26], [22], [14], [15], [33], [12], [29], [-10], [25], [-3], [39], [-28], [-16], [-8], [30], [3], [-6], [-4], [-34], [42], [3], [-23], [-4], [-23], [-31], [-24], [35], [14], [38], [-28], [-2], [48], [-3], [-26], [1], [-10], [4], [-40], [23], [-49], [-18], [16], [-36], [-11], [24], [20], [-18], [42], [22], [24], [38], [-26], [-44], [-16], [-33], [-32], [-33], [6], [47], [50], [17], [-11], [-46], [-39], [-46], [4], [-33], [44], [-27], [6], [-38], [-22], [-47], [7], [27], [39], [-52], [-7], [-5], [-54], [28], [29], [-24], [0], [-47], [-38], [-46], [-38], [14], [-20], [-6], [1], [18], [-35], [47], [-62], [-19], [0], [-13], [58], [56], [-62], [8], [5], [-51], [31], [-40], [-48], [10], [-28], [58], [21], [16], [40], [-50], [-40], [-40], [0], [51], [25], [6], [-9], [-11], [32], [-18], [61], [27], [-8], [-59], [68], [-12], [0], [-30], [-42], [-4], [18], [-51], [12], [-50], [-4], [-32], [-1], [24], [-44], [-32], [8], [4], [26], [0], [38], [8], [36], [-5], [69], [34], [-66], [52], [-50], [-10], [26], [-14], [-26], [-11], [38], [-33], [9], [-80], [16], [44], [-28], [-51], [-42], [-7], [64], [11], [42], [62], [18], [55], [-64], [-6], [52], [49], [25], [-62], [-11], [-56], [-28], [51], [16], [7], [-36], [38], [-6], [-6], [-28], [-30], [28], [-16], [18], [36], [-68], [-23], [-13], [-38], [45], [77], [38], [-65], [-61], [-3], [-4], [-12], [18], [46], [-56], [-61], [4], [81], [-17], [-61], [84], [83], [-70], [-24], [78], [38], [-20], [31], [-28], [-82], [-19], [18], [-39], [25], [18], [49], [-33], [48], [-38], [52], [49], [5], [52], [3], [92], [4], [-47], [24], [26], [-94], [-42], [20], [46], [-14], [22], [20], [-46], [75], [-42], [4], [45], [-62], [78], [22], [6], [-2], [-6], [10], [3], [64], [6], [-50], [-17], [9], [69], [26], [-17], [-32], [-48], [2], [-42], [-73], [-14], [76], [26], [86], [-67], [-36], [45], [-86], [-1], [5], [20], [-71], [3], [-78], [72], [-60], [-16], [-49], [39], [32], [-22], [61], [57], [25], [-57], [-31], [-56], [-64], [-2], [26], [-82], [-102], [-88], [-3], [-29], [-22], [57], [-6], [19], [48], [-22], [81], [-16], [-10], [40], [50], [-95], [70], [48], [97], [-90], [-22], [-19], [-31], [47], [57], [-26], [-20], [-66], [29]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934631744, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1856.2.a.l', 'level': 1856, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [29, -1]], 11, 10], [[[2, 1], [29, -1]], 17, 9], [[[2, -1], [29, 1]], 17, 5], [[[2, 1], [29, 1]], 11, 5]], 'ALdims': [11, 17, 17, 11], 'Nk2': 7424, 'analytic_conductor': 14.820234615149639, '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': [1856, 1, [639, 581, 321], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 56, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 17], 'hecke_orbit_code': 33556288, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6], 'label': '1856.2.a', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 252, 'mf_new_dim': 56, 'num_forms': 29, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 480, 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mf_twists_nf • Show schema
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id: 827397
{'conductor': 8, '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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '928.2.a.a', 'target_level': 928, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 827398
{'conductor': 8, '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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '928.2.a.b', 'target_level': 928, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 827399
{'conductor': 4, '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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1856.2.a.g', 'target_level': 1856, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 827400
{'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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1856.2.a.l', 'target_level': 1856, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 827401
{'conductor': 24, '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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8352.2.a.g', 'target_level': 8352, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 827402
{'conductor': 24, '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': False, 'source_label': '1856.2.a.l', 'source_level': 1856, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8352.2.a.h', 'target_level': 8352, 'twist_class_label': '928.2.a.a', 'twist_class_level': 928, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2257225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 2}
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id: 2257226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 3}
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id: 2257227
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 5}
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id: 2257228
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 7}
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id: 2257229
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 11}
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id: 2257230
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 13}
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id: 2257231
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 17}
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id: 2257232
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 19}
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id: 2257233
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 23}
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id: 2257234
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 29}
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id: 2257235
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 31}
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id: 2257236
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 37}
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id: 2257237
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 41}
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id: 2257238
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 43}
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id: 2257239
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 47}
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id: 2257240
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 53}
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id: 2257241
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 59}
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id: 2257242
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 61}
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id: 2257243
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 67}
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id: 2257244
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 71}
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id: 2257245
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 73}
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id: 2257246
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 79}
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id: 2257247
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 83}
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id: 2257248
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 89}
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id: 2257249
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934631744, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1856.2.a.l', 'level': 1856, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 216001000
{'hecke_orbit_code': 49539595934631744, 'n': 1, 'trace_an': 1}
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id: 216001001
{'hecke_orbit_code': 49539595934631744, 'n': 2, 'trace_an': 0}
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id: 216001002
{'hecke_orbit_code': 49539595934631744, 'n': 3, 'trace_an': 1}
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id: 216001003
{'hecke_orbit_code': 49539595934631744, 'n': 4, 'trace_an': 0}
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id: 216001004
{'hecke_orbit_code': 49539595934631744, 'n': 5, 'trace_an': 1}
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id: 216001005
{'hecke_orbit_code': 49539595934631744, 'n': 6, 'trace_an': 0}
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id: 216001006
{'hecke_orbit_code': 49539595934631744, 'n': 7, 'trace_an': 0}
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id: 216001007
{'hecke_orbit_code': 49539595934631744, 'n': 8, 'trace_an': 0}
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id: 216001008
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