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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'analytic_rank': 1, '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, [-3, 1]], [11, [6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666784, '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.d', '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.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{5}+3q^{7}-6q^{11}-3q^{13}+2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/864/d'], '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, 3], 'trace_hash': 1386335043102633238, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.878', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, 0, 0, 0, -2, 0, 3, 0, 0, 0, -6, 0, -3, 0, 0, 0, 2, 0, -3, 0, 0, 0, -6, 0, -1, 0, 0, 0, 8, 0, 0, 0, 0, 0, -6, 0, 7, 0, 0, 0, -8, 0, -12, 0, 0, 0, -6, 0, 2, 0, 0, 0, -4, 0, 12, 0, 0, 0, -6, 0, -1, 0, 0, 0, 6, 0, -3, 0, 0, 0, -12, 0, -15, 0, 0, 0, -18, 0, 9, 0, 0, 0, 12, 0, -4, 0, 0, 0, 10, 0, -9, 0, 0, 0, 6, 0, 9, 0, 0, 0, 16, 0, 15, 0, 0, 0, 6, 0, 6, 0, 0, 0, -14, 0, 12, 0, 0, 0, 6, 0, 25, 0, 0, 0, 12, 0, -12, 0, 0, 0, 0, 0, -9, 0, 0, 0, 14, 0, -21, 0, 0, 0, 18, 0, -16, 0, 0, 0, -4, 0, -3, 0, 0, 0, 0, 0, -14, 0, 0, 0, -18, 0, 3, 0, 0, 0, 18, 0, -4, 0, 0, 0, -8, 0, -3, 0, 0, 0, 12, 0, 9, 0, 0, 0, -14, 0, -12, 0, 0, 0, 6, 0, -5, 0, 0, 0, -2, 0, 15, 0, 0, 0, 24, 0, 16, 0, 0, 0, 18, 0, 15, 0, 0, 0, 24, 0, 0, 0, 0, 0, -6, 0, -24, 0, 0, 0, -12, 0, -6, 0, 0, 0, 8, 0, 12, 0, 0, 0, -12, 0, -3, 0, 0, 0, -4, 0, 9, 0, 0, 0, 0, 0, 36, 0, 0, 0, 20, 0, 21, 0, 0, 0, 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-42, 0, -53, 0, 0, 0, 4, 0, 27, 0, 0, 0, 42, 0, 16, 0, 0, 0, -54, 0, 9, 0, 0, 0, 36, 0, -13, 0, 0, 0, 14, 0, -9, 0, 0, 0, 36, 0, -36, 0, 0, 0, 18, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, 0, -18, 0, -39, 0, 0, 0, -48, 0, -72, 0, 0, 0, 0, 0, 24, 0, 0, 0, 36, 0, -7, 0, 0, 0, -28, 0, -6, 0, 0, 0, 24, 0, 7, 0, 0, 0, -22, 0, 48, 0, 0, 0, -18, 0, 45, 0, 0, 0, -46, 0, -12, 0, 0, 0, 42, 0, -31, 0, 0, 0, 10, 0, 33, 0, 0, 0, 6, 0, -63, 0, 0, 0, -44, 0, -60, 0, 0, 0, 6, 0, 4, 0, 0, 0, 72, 0, -21, 0, 0, 0, -30, 0, 26, 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], [3], [0], [0], [0], [-6], [0], [-3], [0], [0], [0], [2], [0], [-3], [0], [0], [0], [-6], [0], [-1], [0], [0], [0], [8], [0], [0], [0], [0], [0], [-6], [0], [7], [0], [0], [0], [-8], [0], [-12], [0], [0], [0], [-6], [0], [2], [0], [0], [0], [-4], [0], [12], [0], [0], [0], [-6], [0], [-1], [0], [0], [0], [6], [0], [-3], [0], [0], [0], [-12], [0], [-15], [0], [0], [0], [-18], [0], [9], [0], [0], [0], [12], [0], [-4], [0], [0], [0], [10], [0], [-9], [0], [0], [0], [6], [0], [9], [0], [0], [0]], 'ap': [[0], [0], [-2], [3], [-6], [-3], [2], [-3], [-6], [8], [0], [7], [-8], [-12], [-6], [-4], [-6], [-1], [-3], [-12], [-15], [9], [12], [10], [9], [16], [15], [6], [6], [-14], [-12], [0], [14], [-21], [-4], [-3], [-14], [3], [18], [-8], [12], [9], [6], [-5], [-2], [15], [15], [-24], [-12], [-6], [8], [-12], [-3], [0], [20], [12], [10], [-15], [-18], [-8], [12], [2], [12], [-18], [-1], [4], [3], [9], [-12], [-1], [-20], [-18], [3], [23], [-27], [0], [-34], [2], [20], [21], [-30], [-15], [-30], [-2], [0], [12], [22], [-30], [2], [15], [-6], [-12], [15], [-42], [24], [42], [-10], [14], [9], [-15], [-9], [2], [24], [-46], [-3], [11], [-18], [-28], [-24], [-26], [3], [11], [-2], [9], [-27], [-4], [-36], [-24], [28], [12], [-5], [-1], [-2], [24], [12], [-46], [-51], [36], [24], [-18], [-12], [-6], [45], [-27], [34], [-49], [20], [-27], [40], [-44], [36], [-50], [9], [-6], [45], [36], [-53], [4], [27], [42], [-13], [14], [-9], [36], [-39], [-48], [24], [-28], [7], [-22], [-18], [-46], [33], [6], [-44], [6], [-21], [26]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915666784, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '864.2.a.d', '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: 541426
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '864.2.a.a', 'target_level': 864, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541427
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '864.2.a.d', 'target_level': 864, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541428
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '864.2.a.i', 'target_level': 864, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541429
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '864.2.a.l', 'target_level': 864, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541430
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1728.2.a.e', 'target_level': 1728, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541431
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1728.2.a.h', 'target_level': 1728, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541432
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1728.2.a.u', 'target_level': 1728, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541433
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1728.2.a.x', 'target_level': 1728, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541434
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2592.2.i.c', 'target_level': 2592, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541435
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2592.2.i.g', 'target_level': 2592, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541436
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2592.2.i.r', 'target_level': 2592, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541437
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '864.2.a.d', 'source_level': 864, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2592.2.i.v', 'target_level': 2592, 'twist_class_label': '864.2.a.a', 'twist_class_level': 864, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1423025
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 2}
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id: 1423026
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 3}
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id: 1423027
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 5}
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id: 1423028
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 7}
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id: 1423029
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 11}
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id: 1423030
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 13}
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id: 1423031
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 17}
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id: 1423032
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 19}
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id: 1423033
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 23}
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id: 1423034
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 29}
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id: 1423035
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 31}
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id: 1423036
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 37}
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id: 1423037
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 41}
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id: 1423038
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 43}
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id: 1423039
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 47}
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id: 1423040
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 53}
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id: 1423041
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 59}
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id: 1423042
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 61}
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id: 1423043
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 67}
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id: 1423044
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 71}
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id: 1423045
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 73}
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id: 1423046
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 79}
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id: 1423047
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 83}
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id: 1423048
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 89}
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id: 1423049
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 13510798915666784, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '864.2.a.d', 'level': 864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 126210000
{'hecke_orbit_code': 13510798915666784, 'n': 1, 'trace_an': 1}
-
id: 126210001
{'hecke_orbit_code': 13510798915666784, 'n': 2, 'trace_an': 0}
-
id: 126210002
{'hecke_orbit_code': 13510798915666784, 'n': 3, 'trace_an': 0}
-
id: 126210003
{'hecke_orbit_code': 13510798915666784, 'n': 4, 'trace_an': 0}
-
id: 126210004
{'hecke_orbit_code': 13510798915666784, 'n': 5, 'trace_an': -2}
-
id: 126210005
{'hecke_orbit_code': 13510798915666784, 'n': 6, 'trace_an': 0}
-
id: 126210006
{'hecke_orbit_code': 13510798915666784, 'n': 7, 'trace_an': 3}
-
id: 126210007
{'hecke_orbit_code': 13510798915666784, 'n': 8, 'trace_an': 0}
-
id: 126210008
{'hecke_orbit_code': 13510798915666784, 'n': 9, 'trace_an': 0}
-
id: 126210009
{'hecke_orbit_code': 13510798915666784, 'n': 10, 'trace_an': 0}
-
id: 126210010
{'hecke_orbit_code': 13510798915666784, 'n': 11, 'trace_an': -6}
-
id: 126210011
{'hecke_orbit_code': 13510798915666784, 'n': 12, 'trace_an': 0}
-
id: 126210012
{'hecke_orbit_code': 13510798915666784, 'n': 13, 'trace_an': -3}
-
id: 126210013
{'hecke_orbit_code': 13510798915666784, 'n': 14, 'trace_an': 0}
-
id: 126210014
{'hecke_orbit_code': 13510798915666784, 'n': 15, 'trace_an': 0}
-
id: 126210015
{'hecke_orbit_code': 13510798915666784, 'n': 16, 'trace_an': 0}
-
id: 126210016
{'hecke_orbit_code': 13510798915666784, 'n': 17, 'trace_an': 2}
-
id: 126210017
{'hecke_orbit_code': 13510798915666784, 'n': 18, 'trace_an': 0}
-
id: 126210018
{'hecke_orbit_code': 13510798915666784, 'n': 19, 'trace_an': -3}
-
id: 126210019
{'hecke_orbit_code': 13510798915666784, 'n': 20, 'trace_an': 0}
-
id: 126210020
{'hecke_orbit_code': 13510798915666784, 'n': 21, 'trace_an': 0}
-
id: 126210021
{'hecke_orbit_code': 13510798915666784, 'n': 22, 'trace_an': 0}
-
id: 126210022
{'hecke_orbit_code': 13510798915666784, 'n': 23, 'trace_an': -6}
-
id: 126210023
{'hecke_orbit_code': 13510798915666784, 'n': 24, 'trace_an': 0}
-
id: 126210024
{'hecke_orbit_code': 13510798915666784, 'n': 25, 'trace_an': -1}
-
id: 126210025
{'hecke_orbit_code': 13510798915666784, 'n': 26, 'trace_an': 0}
-
id: 126210026
{'hecke_orbit_code': 13510798915666784, 'n': 27, 'trace_an': 0}
-
id: 126210027
{'hecke_orbit_code': 13510798915666784, 'n': 28, 'trace_an': 0}
-
id: 126210028
{'hecke_orbit_code': 13510798915666784, 'n': 29, 'trace_an': 8}
-
id: 126210029
{'hecke_orbit_code': 13510798915666784, 'n': 30, 'trace_an': 0}
-
id: 126210030
{'hecke_orbit_code': 13510798915666784, 'n': 31, 'trace_an': 0}
-
id: 126210031
{'hecke_orbit_code': 13510798915666784, 'n': 32, 'trace_an': 0}
-
id: 126210032
{'hecke_orbit_code': 13510798915666784, 'n': 33, 'trace_an': 0}
-
id: 126210033
{'hecke_orbit_code': 13510798915666784, 'n': 34, 'trace_an': 0}
-
id: 126210034
{'hecke_orbit_code': 13510798915666784, 'n': 35, 'trace_an': -6}
-
id: 126210035
{'hecke_orbit_code': 13510798915666784, 'n': 36, 'trace_an': 0}
-
id: 126210036
{'hecke_orbit_code': 13510798915666784, 'n': 37, 'trace_an': 7}
-
id: 126210037
{'hecke_orbit_code': 13510798915666784, 'n': 38, 'trace_an': 0}
-
id: 126210038
{'hecke_orbit_code': 13510798915666784, 'n': 39, 'trace_an': 0}
-
id: 126210039
{'hecke_orbit_code': 13510798915666784, 'n': 40, 'trace_an': 0}
-
id: 126210040
{'hecke_orbit_code': 13510798915666784, 'n': 41, 'trace_an': -8}
-
id: 126210041
{'hecke_orbit_code': 13510798915666784, 'n': 42, 'trace_an': 0}
-
id: 126210042
{'hecke_orbit_code': 13510798915666784, 'n': 43, 'trace_an': -12}
-
id: 126210043
{'hecke_orbit_code': 13510798915666784, 'n': 44, 'trace_an': 0}
-
id: 126210044
{'hecke_orbit_code': 13510798915666784, 'n': 45, 'trace_an': 0}
-
id: 126210045
{'hecke_orbit_code': 13510798915666784, 'n': 46, 'trace_an': 0}
-
id: 126210046
{'hecke_orbit_code': 13510798915666784, 'n': 47, 'trace_an': -6}
-
id: 126210047
{'hecke_orbit_code': 13510798915666784, 'n': 48, 'trace_an': 0}
-
id: 126210048
{'hecke_orbit_code': 13510798915666784, 'n': 49, 'trace_an': 2}
-
id: 126210049
{'hecke_orbit_code': 13510798915666784, 'n': 50, 'trace_an': 0}
-
id: 126210050
{'hecke_orbit_code': 13510798915666784, 'n': 51, 'trace_an': 0}
-
id: 126210051
{'hecke_orbit_code': 13510798915666784, 'n': 52, 'trace_an': 0}
-
id: 126210052
{'hecke_orbit_code': 13510798915666784, 'n': 53, 'trace_an': -4}
-
id: 126210053
{'hecke_orbit_code': 13510798915666784, 'n': 54, 'trace_an': 0}
-
id: 126210054
{'hecke_orbit_code': 13510798915666784, 'n': 55, 'trace_an': 12}
-
id: 126210055
{'hecke_orbit_code': 13510798915666784, 'n': 56, 'trace_an': 0}
-
id: 126210056
{'hecke_orbit_code': 13510798915666784, 'n': 57, 'trace_an': 0}
-
id: 126210057
{'hecke_orbit_code': 13510798915666784, 'n': 58, 'trace_an': 0}
-
id: 126210058
{'hecke_orbit_code': 13510798915666784, 'n': 59, 'trace_an': -6}
-
id: 126210059
{'hecke_orbit_code': 13510798915666784, 'n': 60, 'trace_an': 0}
-
id: 126210060
{'hecke_orbit_code': 13510798915666784, 'n': 61, 'trace_an': -1}
-
id: 126210061
{'hecke_orbit_code': 13510798915666784, 'n': 62, 'trace_an': 0}
-
id: 126210062
{'hecke_orbit_code': 13510798915666784, 'n': 63, 'trace_an': 0}
-
id: 126210063
{'hecke_orbit_code': 13510798915666784, 'n': 64, 'trace_an': 0}
-
id: 126210064
{'hecke_orbit_code': 13510798915666784, 'n': 65, 'trace_an': 6}
-
id: 126210065
{'hecke_orbit_code': 13510798915666784, 'n': 66, 'trace_an': 0}
-
id: 126210066
{'hecke_orbit_code': 13510798915666784, 'n': 67, 'trace_an': -3}
-
id: 126210067
{'hecke_orbit_code': 13510798915666784, 'n': 68, 'trace_an': 0}
-
id: 126210068
{'hecke_orbit_code': 13510798915666784, 'n': 69, 'trace_an': 0}
-
id: 126210069
{'hecke_orbit_code': 13510798915666784, 'n': 70, 'trace_an': 0}
-
id: 126210070
{'hecke_orbit_code': 13510798915666784, 'n': 71, 'trace_an': -12}
-
id: 126210071
{'hecke_orbit_code': 13510798915666784, 'n': 72, 'trace_an': 0}
-
id: 126210072
{'hecke_orbit_code': 13510798915666784, 'n': 73, 'trace_an': -15}
-
id: 126210073
{'hecke_orbit_code': 13510798915666784, 'n': 74, 'trace_an': 0}
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id: 126210074
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