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mf_newforms • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [768, 1, [511, 517, 257], [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, [4, 1]], [11, [-4, 1]], [19, [4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925696, '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': '768.2.a.b', 'level': 768, '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': '384.2.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-4q^{7}+q^{9}+4q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/768/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.2.a', 'trace_display': [0, -1, 0, -4], 'trace_hash': 2254865981465863613, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.174', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [1, 0, -1, 0, 0, 0, -4, 0, 1, 0, 4, 0, 4, 0, 0, 0, -2, 0, -4, 0, 4, 0, -8, 0, -5, 0, -1, 0, -8, 0, -4, 0, -4, 0, 0, 0, -4, 0, -4, 0, 6, 0, 4, 0, 0, 0, -8, 0, 9, 0, 2, 0, -8, 0, 0, 0, 4, 0, -12, 0, 12, 0, -4, 0, 0, 0, 12, 0, 8, 0, 8, 0, -6, 0, 5, 0, -16, 0, -4, 0, 1, 0, -4, 0, 0, 0, 8, 0, -6, 0, -16, 0, 4, 0, 0, 0, -2, 0, 4, 0, -8, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, -14, 0, 0, 0, 4, 0, 8, 0, 5, 0, -6, 0, 0, 0, 4, 0, -4, 0, 12, 0, 16, 0, 0, 0, 6, 0, 20, 0, 8, 0, 16, 0, 0, 0, -9, 0, 0, 0, 12, 0, -2, 0, 0, 0, -4, 0, 8, 0, 32, 0, -20, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 20, 0, 12, 0, -4, 0, 4, 0, -12, 0, 0, 0, -8, 0, 4, 0, 16, 0, -18, 0, 0, 0, -24, 0, 4, 0, -12, 0, 32, 0, 0, 0, -8, 0, -16, 0, -4, 0, -8, 0, 0, 0, 16, 0, 6, 0, -8, 0, 20, 0, -5, 0, -4, 0, 4, 0, 16, 0, -22, 0, 0, 0, 4, 0, 0, 0, -2, 0, -1, 0, 0, 0, -16, 0, 4, 0, -12, 0, -32, 0, 0, 0, 2, 0, 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-20, 0, -18, 0, 0, 0, 4, 0, 24, 0, 35, 0, 6, 0, 0, 0, -20, 0, -4, 0, 32, 0, 44, 0, 0, 0, 22, 0, -28, 0, 24, 0, 16, 0, 0, 0, 13, 0, -16, 0, 48, 0, -2, 0, 0, 0, -20, 0, -24, 0, -14, 0, 28, 0, 0, 0, -48, 0, -16, 0, 4, 0, 32, 0, 0, 0, 32, 0, 32, 0, 16, 0, 16, 0, 0, 0, 4, 0, -8, 0, 0, 0, -16, 0, 0, 0, -48, 0, -36, 0, -12, 0, 32, 0, 20, 0, 4, 0, 14, 0, -36, 0, -32, 0, 0, 0, -22, 0, -22, 0, -32, 0, -48, 0, 0, 0, 12, 0, -24, 0, -8, 0, -42, 0, 0, 0, 32, 0, -24, 0, -15, 0, 4, 0, 0, 0, -12, 0, -8, 0, 20, 0, -80, 0, 20, 0, 30, 0, -24, 0, 4, 0, 16, 0, 0, 0, -32, 0, -32, 0, -20, 0, -4, 0, 0, 0, 44, 0, 4, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [-4], [0], [1], [0], [4], [0], [4], [0], [0], [0], [-2], [0], [-4], [0], [4], [0], [-8], [0], [-5], [0], [-1], [0], [-8], [0], [-4], [0], [-4], [0], [0], [0], [-4], [0], [-4], [0], [6], [0], [4], [0], [0], [0], [-8], [0], [9], [0], [2], [0], [-8], [0], [0], [0], [4], [0], [-12], [0], [12], [0], [-4], [0], [0], [0], [12], [0], [8], [0], [8], [0], [-6], [0], [5], [0], [-16], [0], [-4], [0], [1], [0], [-4], [0], [0], [0], [8], [0], [-6], [0], [-16], [0], [4], [0], [0], [0], [-2], [0], [4], [0]], 'ap': [[0], [-1], [0], [-4], [4], [4], [-2], [-4], [-8], [-8], [-4], [-4], [6], [4], [-8], [-8], [-12], [12], [12], [8], [-6], [-4], [-4], [-6], [-2], [-8], [4], [4], [4], [-14], [4], [12], [6], [20], [0], [12], [-4], [-20], [0], [0], [-4], [4], [16], [-18], [-24], [4], [-4], [20], [-4], [4], [-22], [0], [-2], [-12], [2], [-16], [24], [-12], [20], [-6], [4], [24], [12], [32], [22], [8], [4], [2], [-12], [28], [34], [-24], [-36], [-4], [4], [-16], [32], [-20], [-34], [-26], [-20], [20], [-24], [14], [-12], [36], [14], [-10], [0], [20], [12], [-8], [-20], [-12], [-4], [-24], [-24], [6], [20], [-28], [-36], [16], [12], [-10], [4], [18], [4], [18], [-24], [-22], [-28], [-36], [10], [-28], [44], [-18], [-36], [24], [16], [-36], [-4], [-34], [-16], [-44], [44], [8], [20], [-24], [28], [-28], [28], [16], [44], [-12], [-10], [46], [8], [12], [-16], [-26], [-44], [-24], [-4], [4], [4], [24], [44], [22], [-28], [16], [-20], [-14], [28], [-48], [4], [0], [-36], [14], [-22], [-32], [12], [-42], [-12], [20], [30], [16], [-20], [44]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925696, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '768.2.a.b', 'level': 768, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 2, 2], [[[2, 1], [3, -1]], 6, 4], [[[2, -1], [3, 1]], 4, 3], [[[2, 1], [3, 1]], 4, 3]], 'ALdims': [4, 6, 4, 2], 'Nk2': 3072, 'analytic_conductor': 6.132510875234334, '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': [768, 1, [511, 517, 257], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 16, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19], 'hecke_orbit_code': 33555200, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], 'label': '768.2.a', 'level': 768, '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': 152, 'mf_new_dim': 16, 'num_forms': 12, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 256, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 16, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 487561
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.d.a', 'target_level': 384, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 487562
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.2.d.b', 'target_level': 384, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 487563
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '768.2.a.b', 'target_level': 768, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 487564
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.a.c', 'target_level': 768, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 487565
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.a.f', 'target_level': 768, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487566
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '768.2.a.g', 'target_level': 768, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487567
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.d.a', 'target_level': 1152, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 487568
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1152.2.d.f', 'target_level': 1152, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 487569
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2304.2.a.f', 'target_level': 2304, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487570
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2304.2.a.g', 'target_level': 2304, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 487571
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2304.2.a.j', 'target_level': 2304, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 487572
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '768.2.a.b', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2304.2.a.k', 'target_level': 2304, 'twist_class_label': '384.2.d.a', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1299925
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 2}
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id: 1299926
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 3}
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id: 1299927
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 5}
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id: 1299928
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 7}
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id: 1299929
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 11}
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id: 1299930
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 13}
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id: 1299931
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 17}
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id: 1299932
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 19}
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id: 1299933
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 23}
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id: 1299934
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 29}
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id: 1299935
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 31}
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id: 1299936
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 37}
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id: 1299937
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 41}
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id: 1299938
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 43}
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id: 1299939
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 47}
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id: 1299940
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 53}
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id: 1299941
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 59}
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id: 1299942
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 61}
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id: 1299943
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 67}
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id: 1299944
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 71}
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id: 1299945
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 73}
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id: 1299946
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 79}
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id: 1299947
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 83}
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id: 1299948
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 89}
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id: 1299949
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925696, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '768.2.a.b', 'level': 768, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 62852000
{'hecke_orbit_code': 4503599660925696, 'n': 1, 'trace_an': 1}
-
id: 62852001
{'hecke_orbit_code': 4503599660925696, 'n': 2, 'trace_an': 0}
-
id: 62852002
{'hecke_orbit_code': 4503599660925696, 'n': 3, 'trace_an': -1}
-
id: 62852003
{'hecke_orbit_code': 4503599660925696, 'n': 4, 'trace_an': 0}
-
id: 62852004
{'hecke_orbit_code': 4503599660925696, 'n': 5, 'trace_an': 0}
-
id: 62852005
{'hecke_orbit_code': 4503599660925696, 'n': 6, 'trace_an': 0}
-
id: 62852006
{'hecke_orbit_code': 4503599660925696, 'n': 7, 'trace_an': -4}
-
id: 62852007
{'hecke_orbit_code': 4503599660925696, 'n': 8, 'trace_an': 0}
-
id: 62852008
{'hecke_orbit_code': 4503599660925696, 'n': 9, 'trace_an': 1}
-
id: 62852009
{'hecke_orbit_code': 4503599660925696, 'n': 10, 'trace_an': 0}
-
id: 62852010
{'hecke_orbit_code': 4503599660925696, 'n': 11, 'trace_an': 4}
-
id: 62852011
{'hecke_orbit_code': 4503599660925696, 'n': 12, 'trace_an': 0}
-
id: 62852012
{'hecke_orbit_code': 4503599660925696, 'n': 13, 'trace_an': 4}
-
id: 62852013
{'hecke_orbit_code': 4503599660925696, 'n': 14, 'trace_an': 0}
-
id: 62852014
{'hecke_orbit_code': 4503599660925696, 'n': 15, 'trace_an': 0}
-
id: 62852015
{'hecke_orbit_code': 4503599660925696, 'n': 16, 'trace_an': 0}
-
id: 62852016
{'hecke_orbit_code': 4503599660925696, 'n': 17, 'trace_an': -2}
-
id: 62852017
{'hecke_orbit_code': 4503599660925696, 'n': 18, 'trace_an': 0}
-
id: 62852018
{'hecke_orbit_code': 4503599660925696, 'n': 19, 'trace_an': -4}
-
id: 62852019
{'hecke_orbit_code': 4503599660925696, 'n': 20, 'trace_an': 0}
-
id: 62852020
{'hecke_orbit_code': 4503599660925696, 'n': 21, 'trace_an': 4}
-
id: 62852021
{'hecke_orbit_code': 4503599660925696, 'n': 22, 'trace_an': 0}
-
id: 62852022
{'hecke_orbit_code': 4503599660925696, 'n': 23, 'trace_an': -8}
-
id: 62852023
{'hecke_orbit_code': 4503599660925696, 'n': 24, 'trace_an': 0}
-
id: 62852024
{'hecke_orbit_code': 4503599660925696, 'n': 25, 'trace_an': -5}
-
id: 62852025
{'hecke_orbit_code': 4503599660925696, 'n': 26, 'trace_an': 0}
-
id: 62852026
{'hecke_orbit_code': 4503599660925696, 'n': 27, 'trace_an': -1}
-
id: 62852027
{'hecke_orbit_code': 4503599660925696, 'n': 28, 'trace_an': 0}
-
id: 62852028
{'hecke_orbit_code': 4503599660925696, 'n': 29, 'trace_an': -8}
-
id: 62852029
{'hecke_orbit_code': 4503599660925696, 'n': 30, 'trace_an': 0}
-
id: 62852030
{'hecke_orbit_code': 4503599660925696, 'n': 31, 'trace_an': -4}
-
id: 62852031
{'hecke_orbit_code': 4503599660925696, 'n': 32, 'trace_an': 0}
-
id: 62852032
{'hecke_orbit_code': 4503599660925696, 'n': 33, 'trace_an': -4}
-
id: 62852033
{'hecke_orbit_code': 4503599660925696, 'n': 34, 'trace_an': 0}
-
id: 62852034
{'hecke_orbit_code': 4503599660925696, 'n': 35, 'trace_an': 0}
-
id: 62852035
{'hecke_orbit_code': 4503599660925696, 'n': 36, 'trace_an': 0}
-
id: 62852036
{'hecke_orbit_code': 4503599660925696, 'n': 37, 'trace_an': -4}
-
id: 62852037
{'hecke_orbit_code': 4503599660925696, 'n': 38, 'trace_an': 0}
-
id: 62852038
{'hecke_orbit_code': 4503599660925696, 'n': 39, 'trace_an': -4}
-
id: 62852039
{'hecke_orbit_code': 4503599660925696, 'n': 40, 'trace_an': 0}
-
id: 62852040
{'hecke_orbit_code': 4503599660925696, 'n': 41, 'trace_an': 6}
-
id: 62852041
{'hecke_orbit_code': 4503599660925696, 'n': 42, 'trace_an': 0}
-
id: 62852042
{'hecke_orbit_code': 4503599660925696, 'n': 43, 'trace_an': 4}
-
id: 62852043
{'hecke_orbit_code': 4503599660925696, 'n': 44, 'trace_an': 0}
-
id: 62852044
{'hecke_orbit_code': 4503599660925696, 'n': 45, 'trace_an': 0}
-
id: 62852045
{'hecke_orbit_code': 4503599660925696, 'n': 46, 'trace_an': 0}
-
id: 62852046
{'hecke_orbit_code': 4503599660925696, 'n': 47, 'trace_an': -8}
-
id: 62852047
{'hecke_orbit_code': 4503599660925696, 'n': 48, 'trace_an': 0}
-
id: 62852048
{'hecke_orbit_code': 4503599660925696, 'n': 49, 'trace_an': 9}
-
id: 62852049
{'hecke_orbit_code': 4503599660925696, 'n': 50, 'trace_an': 0}
-
id: 62852050
{'hecke_orbit_code': 4503599660925696, 'n': 51, 'trace_an': 2}
-
id: 62852051
{'hecke_orbit_code': 4503599660925696, 'n': 52, 'trace_an': 0}
-
id: 62852052
{'hecke_orbit_code': 4503599660925696, 'n': 53, 'trace_an': -8}
-
id: 62852053
{'hecke_orbit_code': 4503599660925696, 'n': 54, 'trace_an': 0}
-
id: 62852054
{'hecke_orbit_code': 4503599660925696, 'n': 55, 'trace_an': 0}
-
id: 62852055
{'hecke_orbit_code': 4503599660925696, 'n': 56, 'trace_an': 0}
-
id: 62852056
{'hecke_orbit_code': 4503599660925696, 'n': 57, 'trace_an': 4}
-
id: 62852057
{'hecke_orbit_code': 4503599660925696, 'n': 58, 'trace_an': 0}
-
id: 62852058
{'hecke_orbit_code': 4503599660925696, 'n': 59, 'trace_an': -12}
-
id: 62852059
{'hecke_orbit_code': 4503599660925696, 'n': 60, 'trace_an': 0}
-
id: 62852060
{'hecke_orbit_code': 4503599660925696, 'n': 61, 'trace_an': 12}
-
id: 62852061
{'hecke_orbit_code': 4503599660925696, 'n': 62, 'trace_an': 0}
-
id: 62852062
{'hecke_orbit_code': 4503599660925696, 'n': 63, 'trace_an': -4}
-
id: 62852063
{'hecke_orbit_code': 4503599660925696, 'n': 64, 'trace_an': 0}
-
id: 62852064
{'hecke_orbit_code': 4503599660925696, 'n': 65, 'trace_an': 0}
-
id: 62852065
{'hecke_orbit_code': 4503599660925696, 'n': 66, 'trace_an': 0}
-
id: 62852066
{'hecke_orbit_code': 4503599660925696, 'n': 67, 'trace_an': 12}
-
id: 62852067
{'hecke_orbit_code': 4503599660925696, 'n': 68, 'trace_an': 0}
-
id: 62852068
{'hecke_orbit_code': 4503599660925696, 'n': 69, 'trace_an': 8}
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