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mf_newforms • Show schema
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{'Nk2': 2592, 'analytic_conductor': 5.174306050978969, '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': [648, 1, [487, 325, 569], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -1, 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, [-8, 1, 1]], [7, [-6, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407560, 'hecke_ring_generator_nbound': 5, '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': '648.2.a.f', 'level': 648, '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': '72.2.i.b', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{5}+(2-\\beta )q^{7}+q^{11}+(2+\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '648.2.a', 'trace_display': [0, 0, -1, 3], 'trace_hash': 1932831562260671788, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.112', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.817', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.323', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.849', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 0, 5, 0, 0, 0, -5, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, -3, 0, 7, 0, 0, 0, 15, 0, 6, 0, 0, 0, -12, 0, 8, 0, 0, 0, 3, 0, 7, 0, 0, 0, -10, 0, -1, 0, 0, 0, 14, 0, -1, 0, 0, 0, -19, 0, 4, 0, 0, 0, -8, 0, -7, 0, 0, 0, 3, 0, -7, 0, 0, 0, 25, 0, -14, 0, 0, 0, 12, 0, -9, 0, 0, 0, -20, 0, -8, 0, 0, 0, 3, 0, -19, 0, 0, 0, 3, 0, 2, 0, 0, 0, -3, 0, -19, 0, 0, 0, -24, 0, -20, 0, 0, 0, -15, 0, 2, 0, 0, 0, 31, 0, -6, 0, 0, 0, 24, 0, 0, 0, 0, 0, 5, 0, -15, 0, 0, 0, -11, 0, -5, 0, 0, 0, 13, 0, 11, 0, 0, 0, -9, 0, -24, 0, 0, 0, -21, 0, 3, 0, 0, 0, -27, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 30, 0, -5, 0, 0, 0, -9, 0, -8, 0, 0, 0, 42, 0, 2, 0, 0, 0, -21, 0, -27, 0, 0, 0, 7, 0, -25, 0, 0, 0, -37, 0, 27, 0, 0, 0, 4, 0, 11, 0, 0, 0, -30, 0, 5, 0, 0, 0, 5, 0, 15, 0, 0, 0, 1, 0, 0, 0, 0, 0, 46, 0, 34, 0, 0, 0, 37, 0, 5, 0, 0, 0, -14, 0, 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0, 0, -18, 0, 49, 0, 0, 0, 57, 0, 18, 0, 0, 0, 8, 0, -3, 0, 0, 0, -7, 0, 43, 0, 0, 0, -39, 0, 27, 0, 0, 0, 4, 0, -11, 0, 0, 0, -5, 0, 36, 0, 0, 0, -6, 0, 132, 0, 0, 0, -27, 0, -8, 0, 0, 0, 78, 0, 74, 0, 0, 0, -19, 0, 25, 0, 0, 0, 63, 0, 38, 0, 0, 0, -20, 0, -12, 0, 0, 0, -11, 0, -25, 0, 0, 0, -14, 0, 60, 0, 0, 0, -21, 0, 3, 0, 0, 0, -96, 0, 32, 0, 0, 0, -33, 0, 87, 0, 0, 0, 69, 0, -21, 0, 0, 0, 37, 0, -11, 0, 0, 0, 12, 0, 33, 0, 0, 0, 12, 0, 12, 0, 0, 0, 93, 0, -54, 0, 0, 0, 53, 0, 56, 0, 0, 0, -100, 0, 47, 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], [0, 0], [0, 0], [0, -1], [0, 0], [2, -1], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [2, 1], [0, 0], [0, 0], [0, 0], [-3, 1], [0, 0], [3, 1], [0, 0], [0, 0], [0, 0], [2, 1], [0, 0], [3, 1], [0, 0], [0, 0], [0, 0], [-2, 1], [0, 0], [4, -1], [0, 0], [0, 0], [0, 0], [8, -1], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [-7, 2], [0, 0], [3, 2], [0, 0], [0, 0], [0, 0], [2, -1], [0, 0], [5, -3], [0, 0], [0, 0], [0, 0], [-4, -2], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [7, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [-8, -3], [0, 0], [1, 2], [0, 0], [0, 0], [0, 0], [-4, 0], [0, 0], [-5, 3], [0, 0], [0, 0], [0, 0], [2, -1], [0, 0], [-4, 1], [0, 0], [0, 0], [0, 0], [12, 1], [0, 0], [-8, 2], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [-4, -1], [0, 0], [0, 0], [0, 0], [-8, -4], [0, 0], [-3, -2], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, -1], [2, -1], [1, 0], [2, 1], [-3, 1], [3, 1], [2, 1], [-2, 1], [4, -1], [4, -2], [-7, 2], [3, 2], [2, -1], [-4, -2], [7, 0], [0, -1], [1, 2], [-4, 0], [-5, 3], [-4, 1], [12, 1], [6, 0], [-3, -2], [0, 3], [-10, 1], [-1, 5], [0, 2], [-2, 1], [2, -2], [16, -1], [13, -2], [1, -2], [-6, 1], [-2, -1], [4, 3], [-12, 0], [-12, 3], [-14, 1], [4, -8], [-10, -4], [-2, -5], [-3, -2], [20, 2], [-2, 6], [-12, -1], [2, 7], [-15, 0], [6, -7], [3, -1], [-2, 5], [1, -2], [17, 3], [-5, -4], [-14, 3], [-8, 2], [-12, 4], [22, -3], [-2, 5], [12, -5], [22, 1], [29, -1], [-18, -3], [-3, -6], [14, -7], [-20, 5], [-1, 8], [5, -10], [24, 3], [-5, 8], [6, -6], [20, 1], [14, -3], [-13, -3], [0, -9], [-6, -7], [-4, 6], [-3, 6], [1, -2], [4, 7], [-28, 3], [-6, -2], [25, -3], [0, -3], [7, -10], [-23, -3], [1, 2], [-14, -3], [20, -9], [5, -1], [6, 7], [2, -2], [5, 2], [-1, 8], [16, 4], [-24, 3], [5, -3], [-4, 4], [-12, -6], [-21, -2], [-14, 0], [5, -2], [13, -6], [-17, 4], [3, -5], [-5, -6], [-26, 0], [28, -5], [-13, -8], [-4, 3], [-8, 2], [19, -8], [7, -6], [-32, 0], [-11, -6], [3, 0], [10, -10], [-30, -3], [12, -3], [-20, 11], [2, 1], [-4, 7], [-13, 1], [8, -3], [-26, 4], [-12, 7], [36, -4], [18, 3], [-26, 5], [35, -3], [38, 1], [-40, -1], [18, 4], [2, 9], [26, -3], [10, -8], [12, -13], [20, 7], [25, 5], [-11, -9], [22, 1], [32, 3], [12, -8], [6, -4], [4, -11], [26, -3], [30, -3], [7, 4], [0, 8], [16, -5], [6, -8], [1, -13], [0, -5], [37, 0], [-8, -3], [22, -6], [2, -15], [30, 0], [-4, -13], [-49, 2], [-15, -3], [-6, 1], [4, 4], [5, 2], [48, -3], [32, -8], [28, -9]], 'char_orbit_index': 1, 'field_poly': [-8, -1, 1], 'hecke_orbit_code': 22517998170407560, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '648.2.a.f', 'level': 648, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 3, 2], [[[2, 1], [3, -1]], 4, 2], [[[2, -1], [3, 1]], 3, 2], [[[2, 1], [3, 1]], 2, 2]], 'ALdims': [2, 4, 3, 3], 'Nk2': 2592, 'analytic_conductor': 5.174306050978969, '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': [648, 1, [487, 325, 569], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 85, 'dim': 12, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555080, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2], 'label': '648.2.a', 'level': 648, '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': 132, 'mf_new_dim': 12, 'num_forms': 8, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, -174, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 258, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 174, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 431506
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 431507
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 431508
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 431509
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 431510
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 431511
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 431512
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '648.2.a.f', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 431513
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '648.2.a.g', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 431514
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1296.2.a.n', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 431515
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.a.p', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 431516
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 431517
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 431518
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5184.2.a.bo', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 431519
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5184.2.a.bp', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 431520
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5184.2.a.bs', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 431521
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '648.2.a.f', 'source_level': 648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5184.2.a.bt', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1160525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 2}
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id: 1160526
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 3}
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id: 1160527
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 5}
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id: 1160528
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 7}
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id: 1160529
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 11}
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id: 1160530
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 13}
-
id: 1160531
{'charpoly_factorization': [[[-2, 5, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 17}
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id: 1160532
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 19}
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id: 1160533
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 23}
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id: 1160534
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 29}
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id: 1160535
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 31}
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id: 1160536
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 37}
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id: 1160537
{'charpoly_factorization': [[[3, 12, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 41}
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id: 1160538
{'charpoly_factorization': [[[-17, -8, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 43}
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id: 1160539
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 47}
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id: 1160540
{'charpoly_factorization': [[[-8, 10, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 53}
-
id: 1160541
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 59}
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id: 1160542
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 61}
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id: 1160543
{'charpoly_factorization': [[[-29, -4, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 67}
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id: 1160544
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 71}
-
id: 1160545
{'charpoly_factorization': [[[-62, 7, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 73}
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id: 1160546
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 79}
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id: 1160547
{'charpoly_factorization': [[[148, -25, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 83}
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id: 1160548
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22517998170407560, 'p': 89}
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id: 1160549
{'charpoly_factorization': [[[-17, 8, 1], 1]], 'hecke_orbit_code': 22517998170407560, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '648.2.a.f', 'level': 648, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 162109000
{'hecke_orbit_code': 22517998170407560, 'n': 1, 'trace_an': 2}
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id: 162109001
{'hecke_orbit_code': 22517998170407560, 'n': 2, 'trace_an': 0}
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id: 162109002
{'hecke_orbit_code': 22517998170407560, 'n': 3, 'trace_an': 0}
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id: 162109003
{'hecke_orbit_code': 22517998170407560, 'n': 4, 'trace_an': 0}
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id: 162109004
{'hecke_orbit_code': 22517998170407560, 'n': 5, 'trace_an': -1}
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id: 162109005
{'hecke_orbit_code': 22517998170407560, 'n': 6, 'trace_an': 0}
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id: 162109006
{'hecke_orbit_code': 22517998170407560, 'n': 7, 'trace_an': 3}
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id: 162109007
{'hecke_orbit_code': 22517998170407560, 'n': 8, 'trace_an': 0}
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id: 162109008
{'hecke_orbit_code': 22517998170407560, 'n': 9, 'trace_an': 0}
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id: 162109009
{'hecke_orbit_code': 22517998170407560, 'n': 10, 'trace_an': 0}
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id: 162109010
{'hecke_orbit_code': 22517998170407560, 'n': 11, 'trace_an': 2}
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id: 162109011
{'hecke_orbit_code': 22517998170407560, 'n': 12, 'trace_an': 0}
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id: 162109012
{'hecke_orbit_code': 22517998170407560, 'n': 13, 'trace_an': 5}
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id: 162109013
{'hecke_orbit_code': 22517998170407560, 'n': 14, 'trace_an': 0}
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id: 162109014
{'hecke_orbit_code': 22517998170407560, 'n': 15, 'trace_an': 0}
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id: 162109015
{'hecke_orbit_code': 22517998170407560, 'n': 16, 'trace_an': 0}
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id: 162109016
{'hecke_orbit_code': 22517998170407560, 'n': 17, 'trace_an': -5}
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id: 162109017
{'hecke_orbit_code': 22517998170407560, 'n': 18, 'trace_an': 0}
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id: 162109018
{'hecke_orbit_code': 22517998170407560, 'n': 19, 'trace_an': 7}
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id: 162109019
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