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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [864, 1, [703, 325, 353], [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, [-2, 1]], [7, [-1, 1]], [11, [-2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307260256, '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': '864.2.a.k', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '864.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}+q^{7}+2q^{11}+q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/864/k'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '864.2.a', 'trace_display': [0, 0, 2, 1], 'trace_hash': 1028249672465477929, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.971', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.905', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.263', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.742', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 0, -5, 0, 0, 0, -6, 0, -1, 0, 0, 0, 8, 0, 8, 0, 0, 0, 2, 0, -5, 0, 0, 0, 8, 0, -4, 0, 0, 0, 10, 0, -6, 0, 0, 0, 4, 0, 4, 0, 0, 0, -14, 0, 3, 0, 0, 0, 2, 0, -13, 0, 0, 0, 4, 0, 9, 0, 0, 0, 2, 0, 11, 0, 0, 0, 12, 0, 12, 0, 0, 0, -2, 0, 1, 0, 0, 0, -10, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0, 0, -2, 0, -10, 0, 0, 0, -10, 0, -12, 0, 0, 0, 6, 0, -7, 0, 0, 0, -12, 0, 20, 0, 0, 0, -16, 0, -5, 0, 0, 0, -6, 0, 5, 0, 0, 0, 2, 0, 16, 0, 0, 0, -12, 0, -9, 0, 0, 0, 16, 0, 2, 0, 0, 0, -6, 0, -11, 0, 0, 0, -14, 0, -12, 0, 0, 0, -24, 0, -1, 0, 0, 0, 12, 0, -19, 0, 0, 0, -10, 0, 12, 0, 0, 0, 6, 0, -21, 0, 0, 0, 2, 0, -19, 0, 0, 0, 8, 0, 16, 0, 0, 0, -10, 0, 1, 0, 0, 0, -8, 0, 8, 0, 0, 0, 6, 0, 16, 0, 0, 0, -12, 0, 26, 0, 0, 0, -24, 0, 20, 0, 0, 0, -12, 0, 13, 0, 0, 0, -12, 0, -5, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, -5, 0, 0, 0, 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0, 0, 0, 28, 0, -19, 0, 0, 0, -38, 0, -48, 0, 0, 0, 22, 0, -13, 0, 0, 0, -12, 0, -17, 0, 0, 0, -6, 0, -31, 0, 0, 0, -12, 0, 20, 0, 0, 0, -50, 0, 24, 0, 0, 0, 64, 0, 24, 0, 0, 0, -38, 0, -17, 0, 0, 0, 48, 0, 24, 0, 0, 0, -16, 0, 48, 0, 0, 0, 4, 0, 5, 0, 0, 0, 12, 0, 30, 0, 0, 0, 24, 0, -25, 0, 0, 0, 22, 0, -48, 0, 0, 0, 6, 0, 9, 0, 0, 0, 6, 0, 12, 0, 0, 0, -6, 0, 33, 0, 0, 0, -42, 0, 27, 0, 0, 0, -34, 0, 5, 0, 0, 0, 44, 0, -4, 0, 0, 0, -42, 0, 4, 0, 0, 0, 24, 0, -7, 0, 0, 0, -38, 0, -54, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [2], [0], [1], [0], [0], [0], [2], [0], [1], [0], [0], [0], [6], [0], [-5], [0], [0], [0], [-6], [0], [-1], [0], [0], [0], [8], [0], [8], [0], [0], [0], [2], [0], [-5], [0], [0], [0], [8], [0], [-4], [0], [0], [0], [10], [0], [-6], [0], [0], [0], [4], [0], [4], [0], [0], [0], [-14], [0], [3], [0], [0], [0], [2], [0], [-13], [0], [0], [0], [4], [0], [9], [0], [0], [0], [2], [0], [11], [0], [0], [0], [12], [0], [12], [0], [0], [0], [-2], [0], [1], [0], [0], [0], [-10], [0], [1], [0], [0], [0]], 'ap': [[0], [0], [2], [1], [2], [1], [6], [-5], [-6], [8], [8], [-5], [8], [-4], [10], [4], [-14], [3], [-13], [4], [9], [11], [12], [-2], [1], [0], [-3], [-2], [-10], [-10], [20], [-16], [-6], [5], [-12], [-9], [2], [-11], [-14], [-24], [12], [-19], [6], [-21], [2], [-19], [1], [16], [-12], [26], [-24], [-12], [13], [0], [-4], [12], [6], [-21], [-2], [24], [20], [-18], [-12], [30], [-17], [12], [29], [-31], [4], [-5], [4], [14], [-15], [11], [19], [16], [18], [-14], [28], [13], [26], [-19], [-30], [-2], [-8], [-36], [34], [2], [30], [-19], [2], [-12], [-11], [14], [-24], [-6], [-6], [42], [15], [37], [-15], [14], [24], [-10], [19], [3], [6], [-36], [-8], [-26], [41], [-9], [42], [-9], [-1], [4], [-12], [-24], [-44], [-36], [23], [23], [-14], [-24], [4], [30], [-23], [52], [48], [-34], [-20], [42], [-25], [33], [-42], [-17], [-36], [3], [-24], [-20], [-20], [2], [43], [2], [41], [4], [15], [28], [-19], [-38], [-17], [-6], [-31], [-12], [-17], [48], [48], [12], [-25], [22], [6], [6], [27], [-34], [44], [-42], [-7], [-54]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 45035996307260256, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '864.2.a.k', 'level': 864, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 3, 3], [[[2, 1], [3, -1]], 5, 4], [[[2, -1], [3, 1]], 5, 4], [[[2, 1], [3, 1]], 3, 3]], 'ALdims': [3, 5, 5, 3], 'Nk2': 3456, 'analytic_conductor': 6.899074734638625, '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': [864, 1, [703, 325, 353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 121, 'dim': 16, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33555296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '864.2.a', 'level': 864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 168, 'mf_new_dim': 16, 'num_forms': 14, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 288, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 541510
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '864.2.a.b', 'target_level': 864, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541511
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '864.2.a.c', 'target_level': 864, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541512
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '864.2.a.j', 'target_level': 864, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541513
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '864.2.a.k', 'target_level': 864, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541514
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1728.2.a.f', 'target_level': 1728, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541515
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1728.2.a.g', 'target_level': 1728, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541516
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1728.2.a.v', 'target_level': 1728, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541517
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1728.2.a.w', 'target_level': 1728, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541518
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2592.2.i.d', 'target_level': 2592, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541519
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2592.2.i.f', 'target_level': 2592, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541520
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2592.2.i.s', 'target_level': 2592, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541521
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '864.2.a.k', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2592.2.i.u', 'target_level': 2592, 'twist_class_label': '864.2.a.b', 'twist_class_level': 864, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1423200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 2}
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id: 1423201
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 3}
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id: 1423202
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 5}
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id: 1423203
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 7}
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id: 1423204
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 11}
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id: 1423205
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 13}
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id: 1423206
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 17}
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id: 1423207
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 19}
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id: 1423208
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 23}
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id: 1423209
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 29}
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id: 1423210
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 31}
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id: 1423211
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 37}
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id: 1423212
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 41}
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id: 1423213
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 43}
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id: 1423214
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 47}
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id: 1423215
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 53}
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id: 1423216
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 59}
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id: 1423217
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 61}
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id: 1423218
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 67}
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id: 1423219
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 71}
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id: 1423220
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 73}
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id: 1423221
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 79}
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id: 1423222
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 83}
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id: 1423223
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 89}
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id: 1423224
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307260256, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '864.2.a.k', 'level': 864, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 209721000
{'hecke_orbit_code': 45035996307260256, 'n': 1, 'trace_an': 1}
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id: 209721001
{'hecke_orbit_code': 45035996307260256, 'n': 2, 'trace_an': 0}
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id: 209721988
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id: 209721989
{'hecke_orbit_code': 45035996307260256, 'n': 990, 'trace_an': 0}
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id: 209721990
{'hecke_orbit_code': 45035996307260256, 'n': 991, 'trace_an': -7}
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id: 209721991
{'hecke_orbit_code': 45035996307260256, 'n': 992, 'trace_an': 0}
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id: 209721992
{'hecke_orbit_code': 45035996307260256, 'n': 993, 'trace_an': 0}
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id: 209721993
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id: 209721994
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id: 209721995
{'hecke_orbit_code': 45035996307260256, 'n': 996, 'trace_an': 0}
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id: 209721996
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id: 209721997
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id: 209721998
{'hecke_orbit_code': 45035996307260256, 'n': 999, 'trace_an': 0}
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id: 209721999
{'hecke_orbit_code': 45035996307260256, 'n': 1000, 'trace_an': 0}