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mf_newforms • Show schema
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{'Nk2': 1404, 'analytic_conductor': 2.8027491109469413, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [13, -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': [351, 1, [326, 28], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -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': [[2, [-3, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925279, 'hecke_ring_generator_nbound': 2, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '351.2.a.b', 'level': 351, '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': [3, 13], 'level_radical': 39, 'minimal_twist': '351.2.a.b', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(1+\\beta )q^{4}+(-3+\\beta )q^{5}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '351.2.a', 'trace_display': [-1, 0, -5, -2], 'trace_hash': 1842065900009002096, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.895', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.130', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.377', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.640', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, -1, 0, 3, -5, 0, -2, -6, 0, -4, -1, 0, 2, 1, 0, -3, -5, 0, -7, -1, 0, 7, 3, 0, 9, -1, 0, -3, -8, 0, 0, 7, 0, -4, 5, 0, -6, -3, 0, 15, -18, 0, 5, -8, 0, -21, -9, 0, -12, 28, 0, 3, 15, 0, -4, 6, 0, 17, -6, 0, 12, 26, 0, -4, -5, 0, -9, -1, 0, 4, -6, 0, -11, 29, 0, -4, 1, 0, -17, 14, 0, 9, 8, 0, 19, -9, 0, 3, -10, 0, -2, 24, 0, 24, 24, 0, 0, 6, 0, -19, 0, 0, -7, -6, 0, 12, 9, 0, 21, -11, 0, 3, -6, 0, 12, -25, 0, 3, 5, 0, -15, -19, 0, -26, -30, 0, 22, 27, 0, -4, 14, 0, 7, -28, 0, 15, -6, 0, 8, 1, 0, -36, -1, 0, 7, -14, 0, -35, -27, 0, 6, 21, 0, -7, -26, 0, -19, -11, 0, -11, -3, 0, 13, -27, 0, -17, 26, 0, 2, 23, 0, 14, 3, 0, -9, -5, 0, -8, 11, 0, -17, 1, 0, -9, -11, 0, -4, -33, 0, 27, 7, 0, -19, -52, 0, -18, 18, 0, 25, -27, 0, 39, 8, 0, 45, 36, 0, -3, -3, 0, -3, 3, 0, 15, -6, 0, 0, -43, 0, 7, -5, 0, 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0, -11, -6, 0, 17, -41, 0, -15, -15, 0, -72, 28, 0, -21, 17, 0, -10, -6, 0, 8, 11, 0, -22, 41, 0, 130, 0, 0, -92, 63, 0, -36, 33, 0, 18, 54, 0, 48, 66, 0, 73, 6, 0, 12, -77, 0, 57, 80, 0, 3, -1, 0, 16, -14, 0, -12, 26, 0, 0, 33, 0, -44, 25, 0, -47, -91, 0, -11, 26, 0, 9, 10, 0, 38, 21, 0, -3, -40, 0, -8, 10, 0, -4, 30, 0, -91, 15, 0, 58, -75, 0, 0, 16, 0, -50, -5, 0, 15, -42, 0, -83, -87, 0, -43, 19, 0, -27, 1, 0, 24, -9, 0, -21, 50, 0, 12, 68, 0, 26, -11, 0, -9, -63, 0, 54, 30, 0, -38, 28, 0, 19, -76, 0, -39, -1, 0, -61, 24, 0, -22, 46, 0, 76, 12, 0, 5, -27, 0, 13, 52, 0, -57, -63, 0, 18, 23, 0, 44, -65, 0, 4, -47, 0, -17, -35, 0, 12, -14, 0, 32, -36, 0, -65, -6, 0, 103, -19, 0, -41, -60, 0, 42, -89, 0, 33, 23, 0, 61, 28, 0, 24, 26, 0, -27, 9, 0, 24, -54, 0, -11, -111, 0, -15, 60, 0, -11, 57, 0, -57, 6, 0, 42, 29, 0, 28, 54, 0, -14, 45, 0, 104, -84, 0, -8, 24, 0, -5, -42, 0, -8, 6, 0, -15, 50, 0, -6, -10, 0, -4, 27, 0, 6, -26, 0, 36, -43, 0, -51, -75, 0, 90], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 0], [1, 1], [-3, 1], [0, 0], [-1, 0], [-3, 0], [0, 0], [-3, 2], [0, -1], [0, 0], [1, 0], [0, 1], [0, 0], [-2, 1], [-3, 1], [0, 0], [-4, 1], [0, -1], [0, 0], [3, 1], [0, 3], [0, 0], [7, -5], [0, -1], [0, 0], [-1, -1], [-3, -2], [0, 0], [2, -4], [3, 1], [0, 0], [-3, 2], [3, -1], [0, 0], [-1, -4], [-3, 3], [0, 0], [9, -3], [-9, 0], [0, 0], [2, 1], [-3, -2], [0, 0], [-9, -3], [-3, -3], [0, 0], [-6, 0], [15, -2], [0, 0], [1, 1], [9, -3], [0, 0], [-3, 2], [3, 0], [0, 0], [6, 5], [-3, 0], [0, 0], [5, 2], [12, 2], [0, 0], [1, -6], [-3, 1], [0, 0], [-7, 5], [0, -1], [0, 0], [3, -2], [-6, 6], [0, 0], [-7, 3], [12, 5], [0, 0], [-1, -2], [0, 1], [0, 0], [-10, 3], [9, -4], [0, 0], [0, 9], [3, 2], [0, 0], [12, -5], [-3, -3], [0, 0], [0, 3], [-6, 2], [0, 0], [-1, 0], [9, 6], [0, 0], [9, 6], [15, -6], [0, 0], [-4, 8], [0, 6], [0, 0], [-8, -3]], 'ap': [[0, -1], [0, 0], [-3, 1], [-1, 0], [0, -1], [1, 0], [-3, 1], [-4, 1], [0, 3], [-3, -2], [2, -4], [-1, -4], [-9, 0], [2, 1], [-3, -3], [9, -3], [-3, 0], [5, 2], [-7, 5], [-6, 6], [-7, 3], [-10, 3], [3, 2], [-6, 2], [-4, 8], [3, -6], [-1, -5], [6, -3], [8, 5], [-3, 0], [11, 0], [9, -4], [0, -6], [-1, 10], [-12, -3], [5, -4], [-10, 1], [11, -9], [15, -4], [0, 3], [3, 5], [-7, -3], [3, 1], [-10, 1], [6, 6], [11, 3], [2, -7], [-4, 11], [-3, -7], [-4, 3], [-3, -10], [3, 6], [-4, 5], [3, 3], [-6, 1], [21, 3], [0, -13], [5, -8], [-10, 6], [0, -8], [-19, -5], [-3, 12], [11, 3], [3, -3], [2, -2], [9, 7], [-1, -12], [-1, -2], [15, 0], [5, -1], [-9, -4], [9, 6], [-13, -10], [11, -7], [-13, 4], [-18, 4], [-6, 14], [-7, 12], [-30, 2], [2, -4], [-30, -4], [26, -6], [-21, 6], [-19, -7], [-28, 0], [-9, 10], [-27, 2], [35, 0], [-12, 11], [-16, 5], [9, -6], [-6, 9], [32, -8], [36, -3], [26, 7], [-9, -10], [6, -10], [-9, 18], [2, -3], [-31, 1], [-31, 5], [-3, -12], [-3, 12], [-9, 14], [-4, 12], [-7, -3], [9, -7], [15, -7], [-12, -14], [14, -1], [-22, 3], [-1, 8], [-6, -1], [2, 4], [-7, 18], [-24, 4], [23, -6], [3, 5], [18, 6], [-3, -4], [-19, 4], [14, -10], [3, 2], [12, -18], [20, -14], [-15, 16], [-31, 5], [-6, -6], [-1, -6], [8, 4], [38, -3], [-9, -3], [-13, 15], [-1, -13], [18, -8], [-1, 10], [18, 5], [29, -10], [39, 2], [24, -15], [-25, 6], [6, -2], [17, 4], [-21, 2], [2, -12], [-36, -3], [-25, 7], [9, -17], [11, 2], [24, 2], [-13, -12], [-33, -10], [-19, -1], [9, 6], [20, 4], [-18, -11], [14, 4], [-27, -6], [38, -15], [18, -10], [-33, 12], [30, 0], [-4, -6], [-42, 0], [-18, -6], [30, -10], [-1, 8], [-31, 11]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 4503599660925279, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '351.2.a.b', 'level': 351, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 6, 6, 2], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3], 'ALdims_old': [4, 5, 7, 5], 'Nk2': 1404, 'analytic_conductor': 2.8027491109469413, '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': [351, 1, [326, 28], [1, 1]], 'conrey_index': 1, 'cusp_dim': 37, 'dim': 16, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554783, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4], 'label': '351.2.a', 'level': 351, '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': [3, 13], 'level_radical': 39, 'mf_dim': 48, 'mf_new_dim': 16, 'num_forms': 6, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 84, 'trace_bound': 4, 'trace_display': [0, 0, 0, 4], 'traces': [16, 0, 0, 20, 0, 0, 4, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -16, 0, 0, 36, 0, 0, -4, 0, 0, 16, 0, 0, -4, 0, 0, 20, 0, 0, 16, 0, 0, -20, 0, 0, -52, 0, 0, 8, 0, 0, 4, 0, 0, -40, 0, 0, -32, 0, 0, 40, 0, 0, -24, 0, 0, -52, 0, 0, -76, 0, 0, 4, 0, 0, -84, 0, 0, -68, 0, 0, -48, 0, 0, 32, 0, 0, -60, 0, 0, 4, 0, 0, 56, 0, 0, 56, 0, 0, -16, 0, 0, 12, 0, 0, 4, 0, 0, 72, 0, 0, -48, 0, 0, 36, 0, 0, -36, 0, 0, 52, 0, 0, 88, 0, 0, 16, 0, 0, -32, 0, 0, 12, 0, 0, 52, 0, 0, -8, 0, 0, -76, 0, 0, 100, 0, 0, 44, 0, 0, -36, 0, 0, 100, 0, 0, 60, 0, 0, -28, 0, 0, -60, 0, 0, 24, 0, 0, 16, 0, 0, -96, 0, 0, -84, 0, 0, 96, 0, 0, 20, 0, 0, 0, 0, 0, -60, 0, 0, 80, 0, 0, -40, 0, 0, 80, 0, 0, -12, 0, 0, 72, 0, 0, 4, 0, 0, 24, 0, 0, 84, 0, 0, 52, 0, 0, -56, 0, 0, -16, 0, 0, 40, 0, 0, 64, 0, 0, 96, 0, 0, 12, 0, 0, -124, 0, 0, 144, 0, 0, -24, 0, 0, 184, 0, 0, -28, 0, 0, 52, 0, 0, -92, 0, 0, -120, 0, 0, 16, 0, 0, 80, 0, 0, -24, 0, 0, 80, 0, 0, -44, 0, 0, 140, 0, 0, -72, 0, 0, -252, 0, 0, -196, 0, 0, -12, 0, 0, -52, 0, 0, -40, 0, 0, -68, 0, 0, 44, 0, 0, -136, 0, 0, -4, 0, 0, -60, 0, 0, -136, 0, 0, 32, 0, 0, -32, 0, 0, 120, 0, 0, -116, 0, 0, 24, 0, 0, 112, 0, 0, -116, 0, 0, 128, 0, 0, -56, 0, 0, -196, 0, 0, -28, 0, 0, -124, 0, 0, -52, 0, 0, -220, 0, 0, 0, 0, 0, 116, 0, 0, 100, 0, 0, 16, 0, 0, -96, 0, 0, -44, 0, 0, -52, 0, 0, 80, 0, 0, -44, 0, 0, -268, 0, 0, 36, 0, 0, 376, 0, 0, 56, 0, 0, -32, 0, 0, -52, 0, 0, -76, 0, 0, 8, 0, 0, -268, 0, 0, 144, 0, 0, -124, 0, 0, -132, 0, 0, 148, 0, 0, -16, 0, 0, 12, 0, 0, -164, 0, 0, 8, 0, 0, 28, 0, 0, 108, 0, 0, 16, 0, 0, 44, 0, 0, 136, 0, 0, 116, 0, 0, 100, 0, 0, 212, 0, 0, 132, 0, 0, 212, 0, 0, -80, 0, 0, 0, 0, 0, 4, 0, 0, -68, 0, 0, -76, 0, 0, 104, 0, 0, -20, 0, 0, 96, 0, 0, 152, 0, 0, 220, 0, 0, -36, 0, 0, 160, 0, 0, 56, 0, 0, -108, 0, 0, 124, 0, 0, 40, 0, 0, 156, 0, 0, -196, 0, 0, -48, 0, 0, -28, 0, 0, 44, 0, 0, 60, 0, 0, 108, 0, 0, -48, 0, 0, -260, 0, 0, 244, 0, 0, -68, 0, 0, 80, 0, 0, 12, 0, 0, -124, 0, 0, 232, 0, 0, 68, 0, 0, 24, 0, 0, 132, 0, 0, 28, 0, 0, 12, 0, 0, -96, 0, 0, -16, 0, 0, -4, 0, 0, 136, 0, 0, -52, 0, 0, -152, 0, 0, -72, 0, 0, 64, 0, 0, 204, 0, 0, -80, 0, 0, 188, 0, 0, -236, 0, 0, 20, 0, 0, -40, 0, 0, 60, 0, 0, -136, 0, 0, 16, 0, 0, -100, 0, 0, 280, 0, 0, 192, 0, 0, -68, 0, 0, -412, 0, 0, -80, 0, 0, -248, 0, 0, 164, 0, 0, -236, 0, 0, 244, 0, 0, -128, 0, 0, -4, 0, 0, 44, 0, 0, -124, 0, 0, 244, 0, 0, -148, 0, 0, 124, 0, 0, 72, 0, 0, 20, 0, 0, -88, 0, 0, -304, 0, 0, -32, 0, 0, 56, 0, 0, 136, 0, 0, 288, 0, 0, 132, 0, 0, -464, 0, 0, -180, 0, 0, 8, 0, 0, -300, 0, 0, 140, 0, 0, 32, 0, 0, -144, 0, 0, 116, 0, 0, -20, 0, 0, 128, 0, 0, -52, 0, 0, -248, 0, 0, -60, 0, 0, 272, 0, 0, -304, 0, 0, 104, 0, 0, -228, 0, 0, -36, 0, 0, 36, 0, 0, -300, 0, 0, -84, 0, 0, -44, 0, 0, -332, 0, 0, 92, 0, 0, -92, 0, 0, 232, 0, 0, -168, 0, 0, -272, 0, 0, -84, 0, 0, 220, 0, 0, -12, 0, 0, 8, 0, 0, 288, 0, 0, 8, 0, 0, -184, 0, 0, -104, 0, 0, -332, 0, 0, 68, 0, 0, -428, 0, 0, 228, 0, 0, 24, 0, 0, 24, 0, 0, 56, 0, 0, -32, 0, 0, 16, 0, 0, -44, 0, 0, 360, 0, 0, 136, 0, 0, -236, 0, 0, 144, 0, 0, -356, 0, 0, -260, 0, 0, 64, 0, 0, 144, 0, 0, 28, 0, 0, -148, 0, 0, 16, 0, 0, -8, 0, 0, -112, 0, 0, -196, 0, 0, 184, 0, 0, 36, 0, 0, 40, 0, 0, 100, 0, 0, 44, 0, 0, 288, 0, 0, 224, 0, 0, -20, 0, 0, 220, 0, 0, 256, 0, 0, 84, 0, 0, -84, 0, 0, -84, 0, 0, -8, 0, 0, 124, 0, 0, 172, 0, 0, -116, 0, 0, 216, 0, 0, 112, 0, 0, 44, 0, 0, 32, 0, 0, 128, 0, 0, 156, 0, 0, 16, 0, 0, 220, 0, 0, -264, 0, 0, -92, 0, 0, 160, 0, 0, 156, 0, 0, 144, 0, 0, 488, 0, 0, -204, 0, 0, 220, 0, 0, 232, 0, 0, -12, 0, 0, -192, 0, 0, -68, 0, 0, 128, 0, 0, 232, 0, 0, -204, 0, 0, 388], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 268007
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '351.2.a.b', 'target_level': 351, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 268008
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '351.2.a.d', 'target_level': 351, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 268009
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1053.2.e.f', 'target_level': 1053, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 268010
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1053.2.e.j', 'target_level': 1053, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 268011
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4563.2.a.i', 'target_level': 4563, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 268012
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4563.2.a.q', 'target_level': 4563, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 268013
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '5616.2.a.bi', 'target_level': 5616, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 268014
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '5616.2.a.bz', 'target_level': 5616, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 268015
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '8775.2.a.w', 'target_level': 8775, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 268016
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '351.2.a.b', 'source_level': 351, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '8775.2.a.bd', 'target_level': 8775, 'twist_class_label': '351.2.a.b', 'twist_class_level': 351, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 758250
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 2}
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id: 758251
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660925279, 'p': 3}
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id: 758252
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 5}
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id: 758253
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660925279, 'p': 7}
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id: 758254
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 11}
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id: 758255
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660925279, 'p': 13}
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id: 758256
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 17}
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id: 758257
{'charpoly_factorization': [[[9, 7, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 19}
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id: 758258
{'charpoly_factorization': [[[-27, -3, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 23}
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id: 758259
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 29}
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id: 758260
{'charpoly_factorization': [[[-52, 0, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 31}
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id: 758261
{'charpoly_factorization': [[[-43, 6, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 37}
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id: 758262
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 4503599660925279, 'p': 41}
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id: 758263
{'charpoly_factorization': [[[3, -5, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 43}
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id: 758264
{'charpoly_factorization': [[[-9, 9, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 47}
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id: 758265
{'charpoly_factorization': [[[27, -15, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 53}
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id: 758266
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503599660925279, 'p': 59}
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id: 758267
{'charpoly_factorization': [[[23, -12, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 61}
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id: 758268
{'charpoly_factorization': [[[-61, 9, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 67}
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id: 758269
{'charpoly_factorization': [[[-108, 6, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 71}
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id: 758270
{'charpoly_factorization': [[[1, 11, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 73}
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id: 758271
{'charpoly_factorization': [[[43, 17, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 79}
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id: 758272
{'charpoly_factorization': [[[3, -8, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 83}
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id: 758273
{'charpoly_factorization': [[[12, 10, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 89}
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id: 758274
{'charpoly_factorization': [[[-208, 0, 1], 1]], 'hecke_orbit_code': 4503599660925279, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '351.2.a.b', 'level': 351, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16108812
{'hecke_orbit_code': 4503599660925279, 'n': 1, 'trace_an': 2}
-
id: 16108813
{'hecke_orbit_code': 4503599660925279, 'n': 2, 'trace_an': -1}
-
id: 16108814
{'hecke_orbit_code': 4503599660925279, 'n': 3, 'trace_an': 0}
-
id: 16108815
{'hecke_orbit_code': 4503599660925279, 'n': 4, 'trace_an': 3}
-
id: 16108816
{'hecke_orbit_code': 4503599660925279, 'n': 5, 'trace_an': -5}
-
id: 16108817
{'hecke_orbit_code': 4503599660925279, 'n': 6, 'trace_an': 0}
-
id: 16108818
{'hecke_orbit_code': 4503599660925279, 'n': 7, 'trace_an': -2}
-
id: 16108819
{'hecke_orbit_code': 4503599660925279, 'n': 8, 'trace_an': -6}
-
id: 16108820
{'hecke_orbit_code': 4503599660925279, 'n': 9, 'trace_an': 0}
-
id: 16108821
{'hecke_orbit_code': 4503599660925279, 'n': 10, 'trace_an': -4}
-
id: 16108822
{'hecke_orbit_code': 4503599660925279, 'n': 11, 'trace_an': -1}
-
id: 16108823
{'hecke_orbit_code': 4503599660925279, 'n': 12, 'trace_an': 0}
-
id: 16108824
{'hecke_orbit_code': 4503599660925279, 'n': 13, 'trace_an': 2}
-
id: 16108825
{'hecke_orbit_code': 4503599660925279, 'n': 14, 'trace_an': 1}
-
id: 16108826
{'hecke_orbit_code': 4503599660925279, 'n': 15, 'trace_an': 0}
-
id: 16108827
{'hecke_orbit_code': 4503599660925279, 'n': 16, 'trace_an': -3}
-
id: 16108828
{'hecke_orbit_code': 4503599660925279, 'n': 17, 'trace_an': -5}
-
id: 16108829
{'hecke_orbit_code': 4503599660925279, 'n': 18, 'trace_an': 0}
-
id: 16108830
{'hecke_orbit_code': 4503599660925279, 'n': 19, 'trace_an': -7}
-
id: 16108831
{'hecke_orbit_code': 4503599660925279, 'n': 20, 'trace_an': -1}
-
id: 16108832
{'hecke_orbit_code': 4503599660925279, 'n': 21, 'trace_an': 0}
-
id: 16108833
{'hecke_orbit_code': 4503599660925279, 'n': 22, 'trace_an': 7}
-
id: 16108834
{'hecke_orbit_code': 4503599660925279, 'n': 23, 'trace_an': 3}
-
id: 16108835
{'hecke_orbit_code': 4503599660925279, 'n': 24, 'trace_an': 0}
-
id: 16108836
{'hecke_orbit_code': 4503599660925279, 'n': 25, 'trace_an': 9}
-
id: 16108837
{'hecke_orbit_code': 4503599660925279, 'n': 26, 'trace_an': -1}
-
id: 16108838
{'hecke_orbit_code': 4503599660925279, 'n': 27, 'trace_an': 0}
-
id: 16108839
{'hecke_orbit_code': 4503599660925279, 'n': 28, 'trace_an': -3}
-
id: 16108840
{'hecke_orbit_code': 4503599660925279, 'n': 29, 'trace_an': -8}
-
id: 16108841
{'hecke_orbit_code': 4503599660925279, 'n': 30, 'trace_an': 0}
-
id: 16108842
{'hecke_orbit_code': 4503599660925279, 'n': 31, 'trace_an': 0}
-
id: 16108843
{'hecke_orbit_code': 4503599660925279, 'n': 32, 'trace_an': 7}
-
id: 16108844
{'hecke_orbit_code': 4503599660925279, 'n': 33, 'trace_an': 0}
-
id: 16108845
{'hecke_orbit_code': 4503599660925279, 'n': 34, 'trace_an': -4}
-
id: 16108846
{'hecke_orbit_code': 4503599660925279, 'n': 35, 'trace_an': 5}
-
id: 16108847
{'hecke_orbit_code': 4503599660925279, 'n': 36, 'trace_an': 0}
-
id: 16108848
{'hecke_orbit_code': 4503599660925279, 'n': 37, 'trace_an': -6}
-
id: 16108849
{'hecke_orbit_code': 4503599660925279, 'n': 38, 'trace_an': -3}
-
id: 16108850
{'hecke_orbit_code': 4503599660925279, 'n': 39, 'trace_an': 0}
-
id: 16108851
{'hecke_orbit_code': 4503599660925279, 'n': 40, 'trace_an': 15}
-
id: 16108852
{'hecke_orbit_code': 4503599660925279, 'n': 41, 'trace_an': -18}
-
id: 16108853
{'hecke_orbit_code': 4503599660925279, 'n': 42, 'trace_an': 0}
-
id: 16108854
{'hecke_orbit_code': 4503599660925279, 'n': 43, 'trace_an': 5}
-
id: 16108855
{'hecke_orbit_code': 4503599660925279, 'n': 44, 'trace_an': -8}
-
id: 16108856
{'hecke_orbit_code': 4503599660925279, 'n': 45, 'trace_an': 0}
-
id: 16108857
{'hecke_orbit_code': 4503599660925279, 'n': 46, 'trace_an': -21}
-
id: 16108858
{'hecke_orbit_code': 4503599660925279, 'n': 47, 'trace_an': -9}
-
id: 16108859
{'hecke_orbit_code': 4503599660925279, 'n': 48, 'trace_an': 0}
-
id: 16108860
{'hecke_orbit_code': 4503599660925279, 'n': 49, 'trace_an': -12}
-
id: 16108861
{'hecke_orbit_code': 4503599660925279, 'n': 50, 'trace_an': 28}
-
id: 16108862
{'hecke_orbit_code': 4503599660925279, 'n': 51, 'trace_an': 0}
-
id: 16108863
{'hecke_orbit_code': 4503599660925279, 'n': 52, 'trace_an': 3}
-
id: 16108864
{'hecke_orbit_code': 4503599660925279, 'n': 53, 'trace_an': 15}
-
id: 16108865
{'hecke_orbit_code': 4503599660925279, 'n': 54, 'trace_an': 0}
-
id: 16108866
{'hecke_orbit_code': 4503599660925279, 'n': 55, 'trace_an': -4}
-
id: 16108867
{'hecke_orbit_code': 4503599660925279, 'n': 56, 'trace_an': 6}
-
id: 16108868
{'hecke_orbit_code': 4503599660925279, 'n': 57, 'trace_an': 0}
-
id: 16108869
{'hecke_orbit_code': 4503599660925279, 'n': 58, 'trace_an': 17}
-
id: 16108870
{'hecke_orbit_code': 4503599660925279, 'n': 59, 'trace_an': -6}
-
id: 16108871
{'hecke_orbit_code': 4503599660925279, 'n': 60, 'trace_an': 0}
-
id: 16108872
{'hecke_orbit_code': 4503599660925279, 'n': 61, 'trace_an': 12}
-
id: 16108873
{'hecke_orbit_code': 4503599660925279, 'n': 62, 'trace_an': 26}
-
id: 16108874
{'hecke_orbit_code': 4503599660925279, 'n': 63, 'trace_an': 0}
-
id: 16108875
{'hecke_orbit_code': 4503599660925279, 'n': 64, 'trace_an': -4}
-
id: 16108876
{'hecke_orbit_code': 4503599660925279, 'n': 65, 'trace_an': -5}
-
id: 16108877
{'hecke_orbit_code': 4503599660925279, 'n': 66, 'trace_an': 0}
-
id: 16108878
{'hecke_orbit_code': 4503599660925279, 'n': 67, 'trace_an': -9}
-
id: 16108879
{'hecke_orbit_code': 4503599660925279, 'n': 68, 'trace_an': -1}
-
id: 16108880
{'hecke_orbit_code': 4503599660925279, 'n': 69, 'trace_an': 0}
-
id: 16108881
{'hecke_orbit_code': 4503599660925279, 'n': 70, 'trace_an': 4}
-
id: 16108882
{'hecke_orbit_code': 4503599660925279, 'n': 71, 'trace_an': -6}
-
id: 16108883
{'hecke_orbit_code': 4503599660925279, 'n': 72, 'trace_an': 0}
-
id: 16108884
{'hecke_orbit_code': 4503599660925279, 'n': 73, 'trace_an': -11}
-
id: 16108885
{'hecke_orbit_code': 4503599660925279, 'n': 74, 'trace_an': 29}
-
id: 16108886
{'hecke_orbit_code': 4503599660925279, 'n': 75, 'trace_an': 0}
-
id: 16108887
{'hecke_orbit_code': 4503599660925279, 'n': 76, 'trace_an': -4}
-
id: 16108888
{'hecke_orbit_code': 4503599660925279, 'n': 77, 'trace_an': 1}
-
id: 16108889
{'hecke_orbit_code': 4503599660925279, 'n': 78, 'trace_an': 0}
-
id: 16108890
{'hecke_orbit_code': 4503599660925279, 'n': 79, 'trace_an': -17}
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