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mf_newforms • Show schema
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{'Nk2': 4488, 'analytic_conductor': 8.959215106787658, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [11, -1], [17, 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': [1122, 1, [749, 409, 1057], [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': [[5, [0, 1]], [7, [-2, 1]], [13, [4, 1]], [19, [-8, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679890018, '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': True, 'label': '1122.2.a.j', 'level': 1122, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 11, 17], 'level_radical': 1122, 'minimal_twist': '1122.2.a.j', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1122/j'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1122.2.a', 'trace_display': [1, 1, 0, 2], 'trace_hash': 1251045916934842347, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.016', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [0], [1], [2], [1], [1], [0], [1], [1], [-4], [2], [0], [1], [-1], [1], [8], [0], [2], [1], [6], [1], [-5], [-4], [1], [2], [6], [0], [-4], [1], [1], [-1], [0], [1], [2], [8], [-4], [0], [-6], [2], [-4], [1], [0], [6], [6], [1], [-3], [-5], [-1], [-4], [-12], [1], [0], [2], [8], [6], [0], [0], [-4], [-4], [2], [1], [0], [1], [-4], [-1], [6], [0], [6], [1], [2], [2], [-5], [8], [2], [-4], [-10], [0], [1], [-6], [12], [2], [0], [-4], [6], [1], [18], [0], [-8], [6], [-4], [6], [0], [1], [14], [-3], [1], [-5]], 'ap': [[1], [1], [0], [2], [1], [-4], [-1], [8], [6], [6], [-4], [2], [-6], [-4], [6], [-12], [0], [-4], [-4], [6], [2], [-10], [12], [18], [14], [-6], [-4], [-12], [-16], [-6], [2], [-12], [-18], [-16], [6], [-22], [2], [20], [0], [6], [0], [-10], [-18], [-10], [6], [-16], [20], [8], [12], [-22], [-6], [-12], [-10], [24], [18], [24], [0], [14], [-28], [6], [-4], [30], [-16], [-18], [2], [12], [20], [-22], [-12], [-28], [18], [12], [-4], [-4], [-4], [-30], [36], [38], [-18], [14], [24], [38], [12], [26], [14], [-24], [30], [-10], [6], [-4], [12], [-36], [-16], [12], [20], [0], [36], [30], [20], [-16], [32], [-18], [36], [6], [-16], [14], [24], [-18], [-30], [2], [38], [-16], [-30], [-28], [8], [6], [-28], [-30], [12], [-12], [50], [38], [-18], [24], [-28], [-42], [-10], [-18], [44], [44], [44], [-24], [20], [38], [6], [14], [12], [20], [12], [-30], [-28], [30], [44], [-36], [14], [-30], [-28], [-30], [-4], [6], [-40], [-30], [20], [-24], [20], [6], [-34], [54], [-46], [30], [60], [42], [-22], [0], [-42], [-42], [20], [32], [-10], [-12], [-12], [2], [0], [50], [-40], [-54], [56], [-36], [-34], [-52], [8], [36], [-22], [42], [-6], [-48], [-28], [44], [-58], [-36], [14], [60], [-52], [36], [-60], [-30], [-22], [-10], [-30], [24], [-6], [26], [2], [26], [24], [0], [-4], [36], [6], [-28], [38], [-24], [44], [12], [0], [38], [-70], [30], [-18], [24], [-64], [14], [30], [-4], [-12], [-28], [-30], [-54], [-22], [-12], [-10], [20], [38], [30], [68], [-24], [-22], [18], [24], [-18], [12], [-4], [32], [74], [6], [0], [-16], [-36], [-16], [12], [8], [18], [6], [62], [-42], [-12], [-22], [68], [36], [-34], [-46], [12], [-40], [56], [-42], [44], [0], [18], [32], [18], [-58], [20], [14], [-70], [-22], [20], [36], [-40], [26], [60], [24], [32], [72], [-4], [32], [-54], [-34], [30], [44], [-66], [0], [0], [54], [36], [-64], [-6], [-28], [12], [-60], [20], [14], [-42], [50], [-36], [-28], [2], [-60], [74], [78], [-4], [48], [-36], [18], [-76], [-24], [2], [-60], [-12], [-46], [-30], [80], [-58], [54], [-76], [54], [-34], [-52], [44], [-24], [78], [-28], [0], [26], [60], [-52], [-12], [-70], [-90], [-22], [-70], [26], [78], [-54], [-64], [12], [36], [-34], [-28], [0], [48], [-76], [-22], [-60], [-10], [-40], [-6], [-6], [-60], [-6], [6], [-28], [30], [-54], [-84], [92], [26], [-54], [74], [62], [24], [20], [36], [-30], [-22], [-22], [60], [72], [-46], [18], [14], [96], [6], [-58], [-66], [-52], [42], [-64], [38], [20], [30], [14], [84], [-48], [-28], [6], [38], [-34], [30], [-4], [-30], [92], [102], [86], [6], [54], [-22], [-58], [-102], [68], [-60], [98], [78], [-36], [80], [2], [-12], [0], [32], [-66], [-12], [72], [92], [54], [84], [-10], [-12], [-60], [90], [44], [-12]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396679890018, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1122.2.a.j', 'level': 1122, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, 1], [11, -1], [17, -1]], 2, 1], [[[2, -1], [3, 1], [11, -1], [17, -1]], 2, 2], [[[2, -1], [3, -1], [11, -1], [17, 1]], 3, 3], [[[2, 1], [3, -1], [11, -1], [17, -1]], 2, 1], [[[2, -1], [3, 1], [11, -1], [17, 1]], 1, 1], [[[2, 1], [3, 1], [11, 1], [17, 1]], 1, 1], [[[2, -1], [3, -1], [11, 1], [17, -1]], 2, 2], [[[2, 1], [3, -1], [11, -1], [17, 1]], 1, 1], [[[2, -1], [3, 1], [11, 1], [17, -1]], 1, 1], [[[2, -1], [3, 1], [11, 1], [17, 1]], 3, 1], [[[2, 1], [3, 1], [11, 1], [17, -1]], 2, 1], [[[2, 1], [3, 1], [11, -1], [17, 1]], 2, 2], [[[2, 1], [3, -1], [11, 1], [17, -1]], 2, 1], [[[2, -1], [3, -1], [11, 1], [17, 1]], 1, 1]], 'ALdims': [1, 2, 2, 2, 0, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 0], 'Nk2': 4488, 'analytic_conductor': 8.959215106787658, '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': [1122, 1, [749, 409, 1057], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 209, 'dim': 25, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 19], 'hecke_orbit_code': 33555554, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3], 'label': '1122.2.a', 'level': 1122, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 11, 17], 'level_radical': 1122, 'mf_dim': 224, 'mf_new_dim': 25, 'num_forms': 19, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 432, 'trace_bound': 13, 'trace_display': [1, -3, 6, 0], 'traces': [25, 1, -3, 25, 6, 1, 0, 1, 25, 6, 1, -3, 6, 8, 6, 25, 1, 1, -4, 6, -16, -3, -16, 1, 7, 6, -3, 0, -2, 6, 0, 1, 1, -7, 0, 25, 6, -20, -26, 6, 10, 8, -44, 1, 6, 8, 16, -3, 33, 15, 1, 6, -18, 1, 6, 8, -4, 14, -12, 6, -10, 0, 0, 25, 20, 1, 4, 1, 8, 32, 16, 1, 34, 22, 3, -4, 0, 6, -56, 6, 25, 10, 4, -16, 6, -12, -2, -3, 42, 6, 16, -16, 8, 16, 8, 1, -14, -23, 1, 7, -26, -3, 8, 6, 0, 14, -20, -3, 6, 6, 6, 0, 26, 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112, 16, 36, 18, 76, -12, 48, 112, 88, 62, 112, 134, 272, 4, 182, -176, -90, -3, -172, -268, -272, 96, 6, 268, 280, -84], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 650977
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1122.2.a.j', 'source_level': 1122, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1122.2.a.j', 'target_level': 1122, 'twist_class_label': '1122.2.a.j', 'twist_class_level': 1122, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 650978
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1122.2.a.j', 'source_level': 1122, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3366.2.a.f', 'target_level': 3366, 'twist_class_label': '1122.2.a.j', 'twist_class_level': 1122, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 650979
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1122.2.a.j', 'source_level': 1122, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8976.2.a.h', 'target_level': 8976, 'twist_class_label': '1122.2.a.j', 'twist_class_level': 1122, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1702325
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 2}
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id: 1702326
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 3}
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id: 1702327
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 5}
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id: 1702328
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 7}
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id: 1702329
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 11}
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id: 1702330
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 13}
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id: 1702331
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 17}
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id: 1702332
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 19}
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id: 1702333
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 23}
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id: 1702334
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 29}
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id: 1702335
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 31}
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id: 1702336
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 37}
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id: 1702337
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 41}
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id: 1702338
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 43}
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id: 1702339
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 47}
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id: 1702340
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 53}
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id: 1702341
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 59}
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id: 1702342
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 61}
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id: 1702343
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 67}
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id: 1702344
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 71}
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id: 1702345
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 73}
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id: 1702346
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 79}
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id: 1702347
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 83}
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id: 1702348
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 89}
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id: 1702349
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 40532396679890018, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1122.2.a.j', 'level': 1122, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202997000
{'hecke_orbit_code': 40532396679890018, 'n': 1, 'trace_an': 1}
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id: 202997001
{'hecke_orbit_code': 40532396679890018, 'n': 2, 'trace_an': 1}
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id: 202997002
{'hecke_orbit_code': 40532396679890018, 'n': 3, 'trace_an': 1}
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id: 202997003
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