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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, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-8, 0, 1]], [7, [-8, 0, 1]], [11, [4, 1]], [19, [4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519168, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '768.2.a.i', 'level': 768, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '384.2.d.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta q^{5}-\\beta q^{7}+q^{9}-4q^{11}+\\cdots', 'related_objects': ['ModularForm/GL2/ImaginaryQuadratic/2.0.8.1/9216.2/a', 'EllipticCurve/2.0.8.1/9216.2/a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.2.a', 'trace_display': [0, -2, 0, 0], 'trace_hash': 1386726141204149031, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.588', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '140.782', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.507', 'prec': 17}, 'traces': [2, 0, -2, 0, 0, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, 0, 0, 8, 0, -16, 0, 0, 0, 0, 0, -20, 0, -24, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, -32, 0, -8, 0, 0, 0, 0, 0, 4, 0, -6, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, -12, 0, 32, 0, 0, 0, 0, 0, 28, 0, -8, 0, 0, 0, 0, 0, 16, 0, -24, 0, 0, 0, 0, 0, 4, 0, 32, 0, 0, 0, 0, 0, 10, 0, 20, 0, 0, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, -20, 0, 8, 0, 0, 0, 0, 0, -16, 0, -2, 0, 0, 0, 0, 0, -4, 0, 48, 0, 0, 0, 0, 0, -32, 0, -8, 0, 0, 0, 0, 0, 38, 0, -8, 0, 0, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 12, 0, 32, 0, 0, 0, 0, 0, 8, 0, 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0, 0, 0, 0, 0, -20, 0, 40, 0, 0, 0, 0, 0, 96, 0, 32, 0, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, 0, 0, -4, 0, 64, 0, 0, 0, 0, 0, -42, 0, -20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 12, 0, -88, 0, 0, 0, 0, 0, -112, 0, 26, 0, 0, 0, 0, 0, 28, 0, 32, 0, 0, 0, 0, 0, -92, 0, 24, 0, 0, 0, 0, 0, 48, 0, -8, 0, 0, 0, 0, 0, 64, 0, -48, 0, 0, 0, 0, 0, 32, 0, -88, 0, 0, 0, 0, 0, -32, 0, -64, 0, 0, 0, 0, 0, 8, 0, 64, 0, 0, 0, 0, 0, -36, 0, -8, 0, 0, 0, 0, 0, 84, 0, -28, 0, 0, 0, 0, 0, 16, 0, -72, 0, 0, 0, 0, 0, -84, 0, 64, 0, 0, 0, 0, 0, 82, 0, -24, 0, 0, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, -4, 0, 48, 0, 0, 0, 0, 0, 48, 0, -32, 0, 0, 0, 0, 0, -40, 0, 16, 0, 0, 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], [-1, 0], [0, 0], [0, 1], [0, 0], [0, -1], [0, 0], [1, 0], [0, 0], [-4, 0], [0, 0], [0, -2], [0, 0], [0, -1], [0, 0], [-2, 0], [0, 0], [-4, 0], [0, 0], [0, 1], [0, 0], [0, 2], [0, 0], [3, 0], [0, 0], [-1, 0], [0, 0], [0, -1], [0, 0], [0, 3], [0, 0], [4, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-10, 0], [0, 0], [-12, 0], [0, 0], [0, 1], [0, 0], [0, -2], [0, 0], [1, 0], [0, 0], [2, 0], [0, 0], [0, -1], [0, 0], [0, -4], [0, 0], [4, 0], [0, 0], [4, 0], [0, 0], [0, 4], [0, 0], [0, -1], [0, 0], [-16, 0], [0, 0], [-4, 0], [0, 0], [0, -2], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [-3, 0], [0, 0], [0, 4], [0, 0], [0, 3], [0, 0], [1, 0], [0, 0], [4, 0], [0, 0], [0, -2], [0, 0], [0, 1], [0, 0], [-6, 0], [0, 0], [16, 0], [0, 0], [0, -3], [0, 0], [0, -4], [0, 0], [14, 0], [0, 0], [-4, 0], [0, 0]], 'ap': [[0, 0], [-1, 0], [0, 1], [0, -1], [-4, 0], [0, -2], [-2, 0], [-4, 0], [0, 2], [0, -1], [0, 3], [0, 0], [-10, 0], [-12, 0], [0, -2], [0, -1], [4, 0], [0, 4], [-4, 0], [0, -2], [2, 0], [0, 3], [4, 0], [-6, 0], [14, 0], [0, -5], [0, 1], [-12, 0], [0, 2], [2, 0], [0, -3], [12, 0], [-10, 0], [4, 0], [0, 5], [0, 3], [0, 0], [-4, 0], [0, 4], [0, -7], [12, 0], [0, 2], [0, 4], [6, 0], [0, 3], [0, 1], [12, 0], [0, -7], [-12, 0], [0, -2], [-6, 0], [0, -8], [6, 0], [12, 0], [-30, 0], [0, 0], [0, 3], [0, -7], [0, -6], [10, 0], [4, 0], [0, 7], [-4, 0], [0, 4], [14, 0], [0, 3], [20, 0], [-22, 0], [-36, 0], [0, 4], [18, 0], [0, -10], [0, 3], [0, 12], [-28, 0], [0, -4], [0, -11], [0, 12], [30, 0], [-10, 0], [-28, 0], [0, -6], [0, 10], [-34, 0], [0, -11], [-20, 0], [-18, 0], [6, 0], [0, -3], [0, -7], [-28, 0], [0, -10], [0, -5], [20, 0], [-4, 0], [0, -2], [0, -1], [6, 0], [20, 0], [0, -6], [-20, 0], [0, -3], [4, 0], [6, 0], [4, 0], [-22, 0], [36, 0], [34, 0], [0, 14], [34, 0], [0, 5], [0, 4], [-38, 0], [36, 0], [0, 3], [-34, 0], [44, 0], [0, -14], [0, -15], [-4, 0], [0, -16], [14, 0], [0, -7], [-20, 0], [28, 0], [0, 7], [0, 6], [0, -6], [0, -9], [0, 6], [-36, 0], [0, -8], [0, -17], [0, -10], [-42, 0], [38, 0], [0, -1], [-20, 0], [0, -7], [-10, 0], [20, 0], [0, 11], [0, 7], [-12, 0], [0, 18], [0, 2], [0, 8], [6, 0], [-44, 0], [0, 20], [0, -4], [-46, 0], [12, 0], [0, 0], [-44, 0], [0, 8], [0, -1], [-18, 0], [42, 0], [0, 5], [-36, 0], [-42, 0], [0, 5], [12, 0], [-2, 0], [0, 0], [0, -9], [0, 12]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 36028797052519168, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '768.2.a.i', 'level': 768, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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
Hide schema
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id: 487699
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.d.c', 'target_level': 384, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 487700
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.d.c', 'target_level': 384, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 487701
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '768.2.a.i', 'target_level': 768, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 487702
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '768.2.a.i', 'target_level': 768, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 487703
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '768.2.a.l', 'target_level': 768, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487704
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '768.2.a.l', 'target_level': 768, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487705
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1152.2.d.h', 'target_level': 1152, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 487706
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1152.2.d.h', 'target_level': 1152, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 487707
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2304.2.a.r', 'target_level': 2304, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487708
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2304.2.a.r', 'target_level': 2304, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 487709
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2304.2.a.x', 'target_level': 2304, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487710
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '768.2.a.i', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2304.2.a.x', 'target_level': 2304, 'twist_class_label': '384.2.d.c', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1300050
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 2}
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id: 1300051
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 3}
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id: 1300052
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 5}
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id: 1300053
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 7}
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id: 1300054
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 11}
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id: 1300055
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 13}
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id: 1300056
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 17}
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id: 1300057
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 19}
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id: 1300058
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 23}
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id: 1300059
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 29}
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id: 1300060
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 31}
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id: 1300061
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 37}
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id: 1300062
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 41}
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id: 1300063
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 43}
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id: 1300064
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 47}
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id: 1300065
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 53}
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id: 1300066
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 59}
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id: 1300067
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 61}
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id: 1300068
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 67}
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id: 1300069
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 71}
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id: 1300070
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 73}
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id: 1300071
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 36028797052519168, 'p': 79}
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id: 1300072
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 83}
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id: 1300073
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 89}
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id: 1300074
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 36028797052519168, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '768.2.a.i', 'level': 768, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50319007
{'hecke_orbit_code': 36028797052519168, 'n': 1, 'trace_an': 2}
-
id: 50319008
{'hecke_orbit_code': 36028797052519168, 'n': 2, 'trace_an': 0}
-
id: 50319009
{'hecke_orbit_code': 36028797052519168, 'n': 3, 'trace_an': -2}
-
id: 50319010
{'hecke_orbit_code': 36028797052519168, 'n': 4, 'trace_an': 0}
-
id: 50319011
{'hecke_orbit_code': 36028797052519168, 'n': 5, 'trace_an': 0}
-
id: 50319012
{'hecke_orbit_code': 36028797052519168, 'n': 6, 'trace_an': 0}
-
id: 50319013
{'hecke_orbit_code': 36028797052519168, 'n': 7, 'trace_an': 0}
-
id: 50319014
{'hecke_orbit_code': 36028797052519168, 'n': 8, 'trace_an': 0}
-
id: 50319015
{'hecke_orbit_code': 36028797052519168, 'n': 9, 'trace_an': 2}
-
id: 50319016
{'hecke_orbit_code': 36028797052519168, 'n': 10, 'trace_an': 0}
-
id: 50319017
{'hecke_orbit_code': 36028797052519168, 'n': 11, 'trace_an': -8}
-
id: 50319018
{'hecke_orbit_code': 36028797052519168, 'n': 12, 'trace_an': 0}
-
id: 50319019
{'hecke_orbit_code': 36028797052519168, 'n': 13, 'trace_an': 0}
-
id: 50319020
{'hecke_orbit_code': 36028797052519168, 'n': 14, 'trace_an': 0}
-
id: 50319021
{'hecke_orbit_code': 36028797052519168, 'n': 15, 'trace_an': 0}
-
id: 50319022
{'hecke_orbit_code': 36028797052519168, 'n': 16, 'trace_an': 0}
-
id: 50319023
{'hecke_orbit_code': 36028797052519168, 'n': 17, 'trace_an': -4}
-
id: 50319024
{'hecke_orbit_code': 36028797052519168, 'n': 18, 'trace_an': 0}
-
id: 50319025
{'hecke_orbit_code': 36028797052519168, 'n': 19, 'trace_an': -8}
-
id: 50319026
{'hecke_orbit_code': 36028797052519168, 'n': 20, 'trace_an': 0}
-
id: 50319027
{'hecke_orbit_code': 36028797052519168, 'n': 21, 'trace_an': 0}
-
id: 50319028
{'hecke_orbit_code': 36028797052519168, 'n': 22, 'trace_an': 0}
-
id: 50319029
{'hecke_orbit_code': 36028797052519168, 'n': 23, 'trace_an': 0}
-
id: 50319030
{'hecke_orbit_code': 36028797052519168, 'n': 24, 'trace_an': 0}
-
id: 50319031
{'hecke_orbit_code': 36028797052519168, 'n': 25, 'trace_an': 6}
-
id: 50319032
{'hecke_orbit_code': 36028797052519168, 'n': 26, 'trace_an': 0}
-
id: 50319033
{'hecke_orbit_code': 36028797052519168, 'n': 27, 'trace_an': -2}
-
id: 50319034
{'hecke_orbit_code': 36028797052519168, 'n': 28, 'trace_an': 0}
-
id: 50319035
{'hecke_orbit_code': 36028797052519168, 'n': 29, 'trace_an': 0}
-
id: 50319036
{'hecke_orbit_code': 36028797052519168, 'n': 30, 'trace_an': 0}
-
id: 50319037
{'hecke_orbit_code': 36028797052519168, 'n': 31, 'trace_an': 0}
-
id: 50319038
{'hecke_orbit_code': 36028797052519168, 'n': 32, 'trace_an': 0}
-
id: 50319039
{'hecke_orbit_code': 36028797052519168, 'n': 33, 'trace_an': 8}
-
id: 50319040
{'hecke_orbit_code': 36028797052519168, 'n': 34, 'trace_an': 0}
-
id: 50319041
{'hecke_orbit_code': 36028797052519168, 'n': 35, 'trace_an': -16}
-
id: 50319042
{'hecke_orbit_code': 36028797052519168, 'n': 36, 'trace_an': 0}
-
id: 50319043
{'hecke_orbit_code': 36028797052519168, 'n': 37, 'trace_an': 0}
-
id: 50319044
{'hecke_orbit_code': 36028797052519168, 'n': 38, 'trace_an': 0}
-
id: 50319045
{'hecke_orbit_code': 36028797052519168, 'n': 39, 'trace_an': 0}
-
id: 50319046
{'hecke_orbit_code': 36028797052519168, 'n': 40, 'trace_an': 0}
-
id: 50319047
{'hecke_orbit_code': 36028797052519168, 'n': 41, 'trace_an': -20}
-
id: 50319048
{'hecke_orbit_code': 36028797052519168, 'n': 42, 'trace_an': 0}
-
id: 50319049
{'hecke_orbit_code': 36028797052519168, 'n': 43, 'trace_an': -24}
-
id: 50319050
{'hecke_orbit_code': 36028797052519168, 'n': 44, 'trace_an': 0}
-
id: 50319051
{'hecke_orbit_code': 36028797052519168, 'n': 45, 'trace_an': 0}
-
id: 50319052
{'hecke_orbit_code': 36028797052519168, 'n': 46, 'trace_an': 0}
-
id: 50319053
{'hecke_orbit_code': 36028797052519168, 'n': 47, 'trace_an': 0}
-
id: 50319054
{'hecke_orbit_code': 36028797052519168, 'n': 48, 'trace_an': 0}
-
id: 50319055
{'hecke_orbit_code': 36028797052519168, 'n': 49, 'trace_an': 2}
-
id: 50319056
{'hecke_orbit_code': 36028797052519168, 'n': 50, 'trace_an': 0}
-
id: 50319057
{'hecke_orbit_code': 36028797052519168, 'n': 51, 'trace_an': 4}
-
id: 50319058
{'hecke_orbit_code': 36028797052519168, 'n': 52, 'trace_an': 0}
-
id: 50319059
{'hecke_orbit_code': 36028797052519168, 'n': 53, 'trace_an': 0}
-
id: 50319060
{'hecke_orbit_code': 36028797052519168, 'n': 54, 'trace_an': 0}
-
id: 50319061
{'hecke_orbit_code': 36028797052519168, 'n': 55, 'trace_an': 0}
-
id: 50319062
{'hecke_orbit_code': 36028797052519168, 'n': 56, 'trace_an': 0}
-
id: 50319063
{'hecke_orbit_code': 36028797052519168, 'n': 57, 'trace_an': 8}
-
id: 50319064
{'hecke_orbit_code': 36028797052519168, 'n': 58, 'trace_an': 0}
-
id: 50319065
{'hecke_orbit_code': 36028797052519168, 'n': 59, 'trace_an': 8}
-
id: 50319066
{'hecke_orbit_code': 36028797052519168, 'n': 60, 'trace_an': 0}
-
id: 50319067
{'hecke_orbit_code': 36028797052519168, 'n': 61, 'trace_an': 0}
-
id: 50319068
{'hecke_orbit_code': 36028797052519168, 'n': 62, 'trace_an': 0}
-
id: 50319069
{'hecke_orbit_code': 36028797052519168, 'n': 63, 'trace_an': 0}
-
id: 50319070
{'hecke_orbit_code': 36028797052519168, 'n': 64, 'trace_an': 0}
-
id: 50319071
{'hecke_orbit_code': 36028797052519168, 'n': 65, 'trace_an': -32}
-
id: 50319072
{'hecke_orbit_code': 36028797052519168, 'n': 66, 'trace_an': 0}
-
id: 50319073
{'hecke_orbit_code': 36028797052519168, 'n': 67, 'trace_an': -8}
-
id: 50319074
{'hecke_orbit_code': 36028797052519168, 'n': 68, 'trace_an': 0}
-
id: 50319075
{'hecke_orbit_code': 36028797052519168, 'n': 69, 'trace_an': 0}
-
id: 50319076
{'hecke_orbit_code': 36028797052519168, 'n': 70, 'trace_an': 0}
-
id: 50319077
{'hecke_orbit_code': 36028797052519168, 'n': 71, 'trace_an': 0}
-
id: 50319078
{'hecke_orbit_code': 36028797052519168, 'n': 72, 'trace_an': 0}
-
id: 50319079
{'hecke_orbit_code': 36028797052519168, 'n': 73, 'trace_an': 4}
-
id: 50319080
{'hecke_orbit_code': 36028797052519168, 'n': 74, 'trace_an': 0}
-
id: 50319081
{'hecke_orbit_code': 36028797052519168, 'n': 75, 'trace_an': -6}
-
id: 50319082
{'hecke_orbit_code': 36028797052519168, 'n': 76, 'trace_an': 0}
-
id: 50319083
{'hecke_orbit_code': 36028797052519168, 'n': 77, 'trace_an': 0}
-
id: 50319084
{'hecke_orbit_code': 36028797052519168, 'n': 78, 'trace_an': 0}
-
id: 50319085
{'hecke_orbit_code': 36028797052519168, 'n': 79, 'trace_an': 0}
-
id: 50319086
{'hecke_orbit_code': 36028797052519168, 'n': 80, 'trace_an': 0}
-
id: 50319087
{'hecke_orbit_code': 36028797052519168, 'n': 81, 'trace_an': 2}
-
id: 50319088
{'hecke_orbit_code': 36028797052519168, 'n': 82, 'trace_an': 0}
-
id: 50319089
{'hecke_orbit_code': 36028797052519168, 'n': 83, 'trace_an': 8}
-
id: 50319090
{'hecke_orbit_code': 36028797052519168, 'n': 84, 'trace_an': 0}
-
id: 50319091
{'hecke_orbit_code': 36028797052519168, 'n': 85, 'trace_an': 0}
-
id: 50319092
{'hecke_orbit_code': 36028797052519168, 'n': 86, 'trace_an': 0}
-
id: 50319093
{'hecke_orbit_code': 36028797052519168, 'n': 87, 'trace_an': 0}
-
id: 50319094
{'hecke_orbit_code': 36028797052519168, 'n': 88, 'trace_an': 0}
-
id: 50319095
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