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mf_newforms • Show schema
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{'Nk2': 2184, 'analytic_conductor': 4.359831950361909, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 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': [546, 1, [365, 157, 379], [1, 1, 1]], 'cm_discs': [], '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, [-3, 1]], [11, [-1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036962, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '546.2.a.e', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/546/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '546.2.a', 'trace_display': [1, -1, 3, -1], 'trace_hash': 1103601678896585502, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.976', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.773', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, 1, -1, 1, 3, -1, -1, 1, 1, 3, 1, -1, -1, -1, -3, 1, 7, 1, 1, 3, 1, 1, -7, -1, 4, -1, -1, -1, 3, -3, 0, 1, -1, 7, -3, 1, -5, 1, 1, 3, 4, 1, 11, 1, 3, -7, 0, -1, 1, 4, -7, -1, -14, -1, 3, -1, -1, 3, 4, -3, 1, 0, -1, 1, -3, -1, -6, 7, 7, -3, -12, 1, 5, -5, -4, 1, -1, 1, -10, 3, 1, 4, -14, 1, 21, 11, -3, 1, -6, 3, 1, -7, 0, 0, 3, -1, 6, 1, 1, 4, -12, -7, -7, -1, 3, -14, -18, -1, -7, 3, 5, -1, -14, -1, -21, 3, -1, 4, -7, -3, -10, 1, -4, 0, -3, -1, 10, 1, -11, -3, 15, -1, -1, -6, -3, 7, 15, 7, 4, -3, 0, -12, -1, 1, 9, 5, -1, -5, 16, -4, 7, 1, 7, -1, 0, 1, 5, -10, 14, 3, 7, 1, 10, 4, -3, -14, 7, 1, 1, 21, 1, 11, 2, -3, -4, 1, -4, -6, 8, 3, 22, 1, -1, -7, -15, 0, 7, 0, 1, 3, -15, -1, -8, 6, 3, 1, -20, 1, 3, 4, 6, -12, -3, -7, 12, -7, -7, -1, 1, 3, 25, -14, 12, -18, 33, -1, 0, -7, -5, 3, -7, 5, 14, -1, 4, -14, -18, -1, 18, -21, 1, 3, -12, -1, 0, 4, 10, -7, 20, -3, -18, -10, -1, 1, 3, -4, -1, 0, 14, -3, 3, -1, -7, 10, -21, 1, 10, -11, 5, -3, 3, 15, -4, -1, -42, -1, 6, -6, 2, -3, -30, 7, -1, 15, 4, 7, 10, 4, 0, -3, 6, 0, -16, -12, -3, -1, -4, 1, 32, 9, -6, 5, 30, -1, 12, -5, -1, 16, 7, -4, -11, 7, 12, 1, 3, 7, -32, -1, 7, 0, 2, 1, 0, 5, -3, -10, -28, 14, 3, 3, 18, 7, 7, 1, -4, 10, 7, 4, 0, -3, -14, -14, -5, 7, -18, 1, 3, 1, 14, 21, 0, 1, -1, 11, 21, 2, 32, -3, 2, -4, 1, 1, -10, -4, -36, -6, 7, 8, 12, 3, -18, 22, 10, 1, 15, -1, 32, -7, 4, -15, 14, 0, 12, 7, 3, 0, -3, 1, 20, 3, -10, -15, -1, -1, -3, -8, 11, 6, 34, 3, -49, 1, -15, -20, -30, 1, -14, 3, 1, 4, -2, 6, 0, -12, 3, -3, -5, -7, 23, 12, -15, -7, -4, -7, -42, -1, -4, 1, 29, 3, 26, 25, 0, -14, 28, 12, -1, -18, 1, 33, -10, -1, -8, 0, -9, -7, -7, -5, -19, 3, 1, -7, 26, 5, -18, 14, -16, -1, 19, 4, 4, -14, -7, -18, 3, -1, -40, 18, -7, -21, -23, 1, 23, 3, 0, -12, 3, -1, 6, 0, -5, 4, 11, 10, 4, -7, -14, 20, -11, -3, 5, -18, -7, -10, 18, -1, -32, 1, -10, 3, 2, -4, 21, -1, 3, 0, 12, 14, 16, -3, -7, 3, -6, -1, -36, -7, -1, 10, -39, -21, -5, 1, -1, 10, -21, -11, 0, 5, -2, -3, -11, 3, 20, 15, 4, -4, 0, -1, 26, -42, 4, -1, -4, 6, -54, -6, -8, 2, 1, -3, 25, -30, -22, 7, -21, -1, 28, 15, 1, 4, 3, 7, 10, 10, 15, 4, -12, 0, -11, -3, -7, 6, 39, 0, -42, -16, -1, -12, 14, -3, -8, -1, 15, -4, -28, 1, -26, 32, 8, 9, 14, -6, -14, 5, -3, 30, 42, -1, 0, 12, 20, -5, -42, -1, -21, 16, -3, 7, -1, -4, 16, -11, -6, 7, -30, 12, 13, 1, 3, 3, 0, 7, -7, -32, -12, -1, -27, 7, 1, 0, 7, 2, 6, 1, -29, 0, -1, 5, -35, -3, -37, -10, -25, -28, 30, 14, -1, 3, -12, 3, 42, 18, -9, 7, -33, 7, -36, 1, 4, -4, 0, 10, -43, 7, 45, 4, 5, 0, -18, -3, 38, -14, 7, -14, -3, -5, -21, 7, -14, -18, 1, 1, 7, 3, -4, 1, -38, 14, -6, 21, 18, 0, -13, 1, 45, -1, -18, 11, 14, 21, -4, 2, -1, 32, 12, -3, 28, 2, 12, -4, -42, 1, -5, 1, 0, -10, 12, -4, 50, -36, -10, -6, 0, 7, -3, 8, -20, 12, 30, 3, 7, -18, 18, 22, 12, 10, 37, 1, 1, 15, 77, -1, -4, 32, -3, -7, -6, 4, 38, -15, 1, 14, -26, 0, 48, 12, -14, 7, 18, 3, 8, 0, -3, -3, 21, 1, 26, 20, 7, 3, -32, -10, 7, -15, 21, -1, -4, -1, -49, -3, -10, -8, -7, 11, 0, 6, -5, 34, 4, 3, -12, -49, -3, 1, 15, -15, -31, -20, 4, -30, 14, 1, -1, -14, 42, 3, 36, 1, 0, 4, -6, -2, 5, 6, 21, 0, -2, -12, -50, 3, 21, -3, 30, -5, 30, -7, 11, 23, 1, 12, -32, -15, 4, -7, -4, -4, 9, -7, 49, -42, -10, -1, 7, -4, 21, 1, 0, 29, -4, 3, -20, 26, -6, 25, 3, 0, 10, -14, 16, 28, 35, 12, 44, -1, 3, -18, 22, 1, 40, 33, 4, -10, -42, -1, 6, -8, -32, 0, -10, -9, 6, -7, 6, -7, 3, -5, 18, -19, -30, 3, -17, 1, 35, -7, -12, 26, -24, 5, -10, -18, 1, 14, 0, -16, 24, -1, -7, 19, 0, 4, -98, 4, 11, -14, 66, -7, 12, -18, -12, 3, 15, -1, -14, -40, -3, 18, -15, -7, -50, -21, 32, -23, 12, 1, -20, 23, -7, 3, 48, 0, 1, -12, -2, 3, 21, -1, -22, 6, 0, 0, 34, -5, -28, 4, 3, 11, -11, 10, -5, 4, 28, -7, 36, -14, -45, 20, -3, -11, -15, -3, -31, 5, -18, -18, -24, -7, 13, -10, -7, 18, 48, -1, -4, -32, 4, 1, -7, -10, -6, 3, -7, 2, -19, -4, -60, 21, 0, -1, -77, 3, 34, 0, 14, 12, 9, 14, 54, 16, 5, -3], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-1], [1], [3], [-1], [-1], [1], [1], [3], [1], [-1], [-1], [-1], [-3], [1], [7], [1], [1], [3], [1], [1], [-7], [-1], [4], [-1], [-1], [-1], [3], [-3], [0], [1], [-1], [7], [-3], [1], [-5], [1], [1], [3], [4], [1], [11], [1], [3], [-7], [0], [-1], [1], [4], [-7], [-1], [-14], [-1], [3], [-1], [-1], [3], [4], [-3], [1], [0], [-1], [1], [-3], [-1], [-6], [7], [7], [-3], [-12], [1], [5], [-5], [-4], [1], [-1], [1], [-10], [3], [1], [4], [-14], [1], [21], [11], [-3], [1], [-6], [3], [1], [-7], [0], [0], [3], [-1], [6], [1], [1], [4]], 'ap': [[1], [-1], [3], [-1], [1], [-1], [7], [1], [-7], [3], [0], [-5], [4], [11], [0], [-14], [4], [1], [-6], [-12], [5], [-10], [-14], [-6], [6], [-12], [-7], [-18], [-7], [-14], [10], [15], [15], [4], [16], [7], [5], [10], [7], [2], [8], [22], [-15], [-8], [-20], [3], [25], [14], [-18], [18], [-12], [20], [-18], [3], [10], [-4], [2], [-30], [10], [6], [-16], [30], [-32], [2], [0], [-28], [-14], [3], [32], [2], [-10], [12], [32], [12], [20], [-1], [34], [-14], [-2], [23], [29], [26], [-10], [-8], [-19], [26], [19], [-40], [-23], [23], [3], [-11], [-32], [2], [16], [-6], [-39], [-11], [20], [25], [28], [-12], [39], [14], [-8], [-26], [42], [-42], [-1], [16], [13], [-7], [-27], [1], [-37], [42], [-9], [-36], [-43], [-18], [38], [7], [-38], [-13], [-4], [-42], [50], [30], [37], [-4], [38], [-26], [8], [26], [-32], [-49], [-7], [-31], [36], [-50], [21], [-32], [4], [9], [49], [-4], [44], [22], [40], [-42], [18], [-17], [35], [-24], [12], [15], [-50], [48], [-22], [34], [-11], [36], [13], [48], [-7], [-19], [34], [54]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 18014398543036962, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '546.2.a.e', 'level': 546, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [7, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [13, -1]], 1, 1], [[[2, -1], [3, -1], [7, 1], [13, -1]], 2, 1], [[[2, 1], [3, -1], [7, 1], [13, -1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [13, 1]], 2, 1], [[[2, -1], [3, -1], [7, -1], [13, 1]], 2, 2], [[[2, 1], [3, 1], [7, 1], [13, -1]], 1, 1], [[[2, -1], [3, 1], [7, 1], [13, 1]], 1, 1]], 'Nk2': 2184, 'analytic_conductor': 4.359831950361909, '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': [546, 1, [365, 157, 379], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 105, 'dim': 13, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33554978, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2], 'label': '546.2.a', 'level': 546, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 120, 'mf_new_dim': 13, 'num_forms': 10, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [1, 1, 6, 1], 'traces': [13, 1, 1, 13, 6, 1, 1, 1, 13, 6, 12, 1, 1, 1, 6, 13, 2, 1, 4, 6, -3, 4, 0, 1, 27, 1, 1, 1, 6, -2, 16, 1, -4, 18, -2, 13, -10, 4, 1, 6, 10, 1, 4, 12, 6, -16, -16, 1, 13, -1, 2, 1, 14, 1, 8, 1, -28, 6, 28, 6, -18, -32, 1, 13, -2, -4, -4, 2, 8, -10, -8, 1, -38, 6, -33, 4, 12, -3, 0, 6, 13, -14, -12, -3, -36, -20, -10, 4, -6, 6, -3, 0, -32, -24, -40, 1, -30, 1, 12, 27, -10, -14, -48, 1, 6, -18, -60, 1, -2, -88, -42, 1, -38, 12, -16, 6, 1, -36, -14, -2, 9, -2, 2, 16, -36, 1, -80, 1, -36, -2, -28, -4, -12, -44, 6, 18, 10, -8, -4, -2, 0, -40, -4, 13, -12, 26, 1, -10, 70, -1, -8, 4, 2, -4, -16, 1, 30, -32, 30, 6, 24, 1, 28, 10, -8, -12, 8, 1, 13, 12, 4, 4, 14, 14, 31, 12, -12, 50, 44, 6, -10, 1, -18, -16, 4, 16, -8, -16, -3, -56, 8, 1, -6, 18, 6, 13, -10, 4, 16, -1, -12, 22, -2, 2, -4, -24, 0, 1, 96, -2, 28, 14, 40, 28, -24, 1, 0, -2, -22, 8, -14, -2, 32, 1, 27, 2, -60, -28, 70, -32, -4, 6, 146, 1, 48, 28, -16, 10, 80, 6, 2, 5, 1, -18, 6, 2, 4, -32, 44, 12, 12, 1, 16, -16, 12, 13, -46, -20, 22, -2, 6, -28, 16, -4, 4, 4, 18, -4, 94, -2, -16, 2, -3, 10, 20, 8, 14, 12, 16, -10, 42, 24, 28, -8, -40, 12, -14, 1, 63, 84, -30, -38, 38, 1, -24, 6, -4, 30, 8, -33, -4, 8, 14, 4, 68, 18, -44, 12, -24, 32, 104, -3, 18, -2, -2, 0, -34, 38, 8, 6, 36, 16, 72, 13, -1, -44, -2, -14, -24, 8, 4, -12, -10, 0, -56, -3, -46, 1, 34, -36, 32, 4, 1, -20, 48, 14, 20, -10, 94, -33, 1, 4, 66, 4, 64, -6, 10, 52, 24, 6, 33, 54, 5, -3, 60, -42, -56, 0, 10, 4, 22, -32, -34, 40, 60, -24, -34, 1, 100, -40, -32, 8, -32, 1, -8, 50, 4, -30, 46, 6, -16, 1, 12, 30, -160, 12, -50, 72, -12, 27, -46, -4, -16, -10, 6, -2, -88, -14, 90, 76, 74, -48, 36, -16, -8, 1, -4, 48, 68, 6, -58, -44, -16, -18, -82, 24, -42, -60, -4, -40, -160, 1, -6, 0, -12, -2, -64, 26, -112, -88, 13, -6, 4, -42, -100, -48, -58, 1, 2, -1, -72, -38, -8, 84, 6, 12, -78, 70, 2, -16, -18, -4, 80, 6, 16, -22, -108, 1, 28, 0, -18, -36, 16, 0, -68, -14, 14, 16, -32, -2, 14, -46, 16, 9, -132, 1, -8, -2, -12, 6, -60, 2, -84, 20, 8, 16, -24, 44, 140, -36, -40, -68, -56, 1, -108, -16, 1, -80, 62, -36, 2, 1, -28, 82, -64, -36, -32, 38, 86, -2, -118, 6, 108, -28, -29, -96, -192, -4, -35, 52, 28, -12, 34, 18, -152, -44, -52, 62, 12, 6, -66, -64, -10, 18, -140, -11, -124, 10, -18, 4, -40, -8, 16, 22, -36, -4, -178, -32, -20, -2, 8, -30, 36, 0, -52, 60, 1, -40, 34, 24, -20, -4, -32, -30, -64, 13, -78, 83, 2, -12, -36, -38, -88, 26, -2, 54, -52, 1, 32, -72, 22, -10, 18, -4, -44, 70, -24, -8, 144, -1, -78, 12, -4, -8, -98, 22, -72, 4, -18, -52, -24, 2, 134, 52, 12, -4, -6, 32, 108, -16, 8, -136, -46, 1, -7, 26, -24, 30, 44, -10, 104, -32, 20, 22, 96, 30, 1, 40, -8, 6, -38, -4, 36, 24, -8, 96, -8, 1, 96, 31, -16, 28, 86, -74, -136, 10, -38, -16, 12, -8, 86, 28, -14, -12, 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34, 288, 27, -164, 56, 28, 2, 52, -8, -36, -60, -10, -10, -8, -28, -48, -6, 52, 70, -76, -14, -136, -32, 36, -130, 24, -4, -38, -96, -48, 6, 130, 0, 4, 146, -88, -12, -208, 1, 34, -28, 74, 48, -178, -58, 160, 28, 6, 8, -92, -16, -14, 44, 30, 10, -14, -18, -32, 80, 72, -72, 10, 6, 45, 6, -60, 2, 76, -16, -40, 5, 104, 140, 28, 1, -36, -136, 31, -18, -206, -36, 104, 6, -2, 28, -40, 2, -12, -196, 24, 4, -144, -88, 64, -32, 28, -40, 32, 44, -42, 36, -42, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 377390
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '546.2.a.e', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '546.2.a.e', 'target_level': 546, 'twist_class_label': '546.2.a.e', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 377391
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '546.2.a.e', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1638.2.a.a', 'target_level': 1638, 'twist_class_label': '546.2.a.e', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377392
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '546.2.a.e', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3822.2.a.bc', 'target_level': 3822, 'twist_class_label': '546.2.a.e', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377393
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '546.2.a.e', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4368.2.a.z', 'target_level': 4368, 'twist_class_label': '546.2.a.e', 'twist_class_level': 546, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377394
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '546.2.a.e', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7098.2.a.b', 'target_level': 7098, 'twist_class_label': '546.2.a.e', 'twist_class_level': 546, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1028950
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 2}
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id: 1028951
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 3}
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id: 1028952
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 5}
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id: 1028953
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 7}
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id: 1028954
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 11}
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id: 1028955
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 13}
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id: 1028956
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 17}
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id: 1028957
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 19}
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id: 1028958
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 23}
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id: 1028959
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 29}
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id: 1028960
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 31}
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id: 1028961
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 37}
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id: 1028962
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 41}
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id: 1028963
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 43}
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id: 1028964
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 47}
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id: 1028965
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 53}
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id: 1028966
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 59}
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id: 1028967
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 61}
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id: 1028968
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 67}
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id: 1028969
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 71}
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id: 1028970
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 73}
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id: 1028971
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 79}
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id: 1028972
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 83}
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id: 1028973
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 89}
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id: 1028974
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543036962, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '546.2.a.e', 'level': 546, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 146970000
{'hecke_orbit_code': 18014398543036962, 'n': 1, 'trace_an': 1}
-
id: 146970001
{'hecke_orbit_code': 18014398543036962, 'n': 2, 'trace_an': 1}
-
id: 146970002
{'hecke_orbit_code': 18014398543036962, 'n': 3, 'trace_an': -1}
-
id: 146970003
{'hecke_orbit_code': 18014398543036962, 'n': 4, 'trace_an': 1}
-
id: 146970004
{'hecke_orbit_code': 18014398543036962, 'n': 5, 'trace_an': 3}
-
id: 146970005
{'hecke_orbit_code': 18014398543036962, 'n': 6, 'trace_an': -1}
-
id: 146970006
{'hecke_orbit_code': 18014398543036962, 'n': 7, 'trace_an': -1}
-
id: 146970007
{'hecke_orbit_code': 18014398543036962, 'n': 8, 'trace_an': 1}
-
id: 146970008
{'hecke_orbit_code': 18014398543036962, 'n': 9, 'trace_an': 1}
-
id: 146970009
{'hecke_orbit_code': 18014398543036962, 'n': 10, 'trace_an': 3}
-
id: 146970010
{'hecke_orbit_code': 18014398543036962, 'n': 11, 'trace_an': 1}
-
id: 146970011
{'hecke_orbit_code': 18014398543036962, 'n': 12, 'trace_an': -1}
-
id: 146970012
{'hecke_orbit_code': 18014398543036962, 'n': 13, 'trace_an': -1}
-
id: 146970013
{'hecke_orbit_code': 18014398543036962, 'n': 14, 'trace_an': -1}
-
id: 146970014
{'hecke_orbit_code': 18014398543036962, 'n': 15, 'trace_an': -3}
-
id: 146970015
{'hecke_orbit_code': 18014398543036962, 'n': 16, 'trace_an': 1}
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id: 146970016
{'hecke_orbit_code': 18014398543036962, 'n': 17, 'trace_an': 7}
-
id: 146970017
{'hecke_orbit_code': 18014398543036962, 'n': 18, 'trace_an': 1}
-
id: 146970018
{'hecke_orbit_code': 18014398543036962, 'n': 19, 'trace_an': 1}
-
id: 146970019
{'hecke_orbit_code': 18014398543036962, 'n': 20, 'trace_an': 3}
-
id: 146970020
{'hecke_orbit_code': 18014398543036962, 'n': 21, 'trace_an': 1}
-
id: 146970021
{'hecke_orbit_code': 18014398543036962, 'n': 22, 'trace_an': 1}
-
id: 146970022
{'hecke_orbit_code': 18014398543036962, 'n': 23, 'trace_an': -7}
-
id: 146970023
{'hecke_orbit_code': 18014398543036962, 'n': 24, 'trace_an': -1}
-
id: 146970024
{'hecke_orbit_code': 18014398543036962, 'n': 25, 'trace_an': 4}
-
id: 146970025
{'hecke_orbit_code': 18014398543036962, 'n': 26, 'trace_an': -1}
-
id: 146970026
{'hecke_orbit_code': 18014398543036962, 'n': 27, 'trace_an': -1}
-
id: 146970027
{'hecke_orbit_code': 18014398543036962, 'n': 28, 'trace_an': -1}
-
id: 146970028
{'hecke_orbit_code': 18014398543036962, 'n': 29, 'trace_an': 3}
-
id: 146970029
{'hecke_orbit_code': 18014398543036962, 'n': 30, 'trace_an': -3}
-
id: 146970030
{'hecke_orbit_code': 18014398543036962, 'n': 31, 'trace_an': 0}
-
id: 146970031
{'hecke_orbit_code': 18014398543036962, 'n': 32, 'trace_an': 1}
-
id: 146970032
{'hecke_orbit_code': 18014398543036962, 'n': 33, 'trace_an': -1}
-
id: 146970033
{'hecke_orbit_code': 18014398543036962, 'n': 34, 'trace_an': 7}
-
id: 146970034
{'hecke_orbit_code': 18014398543036962, 'n': 35, 'trace_an': -3}
-
id: 146970035
{'hecke_orbit_code': 18014398543036962, 'n': 36, 'trace_an': 1}
-
id: 146970036
{'hecke_orbit_code': 18014398543036962, 'n': 37, 'trace_an': -5}
-
id: 146970037
{'hecke_orbit_code': 18014398543036962, 'n': 38, 'trace_an': 1}
-
id: 146970038
{'hecke_orbit_code': 18014398543036962, 'n': 39, 'trace_an': 1}
-
id: 146970039
{'hecke_orbit_code': 18014398543036962, 'n': 40, 'trace_an': 3}
-
id: 146970040
{'hecke_orbit_code': 18014398543036962, 'n': 41, 'trace_an': 4}
-
id: 146970041
{'hecke_orbit_code': 18014398543036962, 'n': 42, 'trace_an': 1}
-
id: 146970042
{'hecke_orbit_code': 18014398543036962, 'n': 43, 'trace_an': 11}
-
id: 146970043
{'hecke_orbit_code': 18014398543036962, 'n': 44, 'trace_an': 1}
-
id: 146970044
{'hecke_orbit_code': 18014398543036962, 'n': 45, 'trace_an': 3}
-
id: 146970045
{'hecke_orbit_code': 18014398543036962, 'n': 46, 'trace_an': -7}
-
id: 146970046
{'hecke_orbit_code': 18014398543036962, 'n': 47, 'trace_an': 0}
-
id: 146970047
{'hecke_orbit_code': 18014398543036962, 'n': 48, 'trace_an': -1}
-
id: 146970048
{'hecke_orbit_code': 18014398543036962, 'n': 49, 'trace_an': 1}
-
id: 146970049
{'hecke_orbit_code': 18014398543036962, 'n': 50, 'trace_an': 4}
-
id: 146970050
{'hecke_orbit_code': 18014398543036962, 'n': 51, 'trace_an': -7}
-
id: 146970051
{'hecke_orbit_code': 18014398543036962, 'n': 52, 'trace_an': -1}
-
id: 146970052
{'hecke_orbit_code': 18014398543036962, 'n': 53, 'trace_an': -14}
-
id: 146970053
{'hecke_orbit_code': 18014398543036962, 'n': 54, 'trace_an': -1}
-
id: 146970054
{'hecke_orbit_code': 18014398543036962, 'n': 55, 'trace_an': 3}
-
id: 146970055
{'hecke_orbit_code': 18014398543036962, 'n': 56, 'trace_an': -1}
-
id: 146970056
{'hecke_orbit_code': 18014398543036962, 'n': 57, 'trace_an': -1}
-
id: 146970057
{'hecke_orbit_code': 18014398543036962, 'n': 58, 'trace_an': 3}
-
id: 146970058
{'hecke_orbit_code': 18014398543036962, 'n': 59, 'trace_an': 4}
-
id: 146970059
{'hecke_orbit_code': 18014398543036962, 'n': 60, 'trace_an': -3}
-
id: 146970060
{'hecke_orbit_code': 18014398543036962, 'n': 61, 'trace_an': 1}
-
id: 146970061
{'hecke_orbit_code': 18014398543036962, 'n': 62, 'trace_an': 0}
-
id: 146970062
{'hecke_orbit_code': 18014398543036962, 'n': 63, 'trace_an': -1}
-
id: 146970063
{'hecke_orbit_code': 18014398543036962, 'n': 64, 'trace_an': 1}
-
id: 146970064
{'hecke_orbit_code': 18014398543036962, 'n': 65, 'trace_an': -3}
-
id: 146970065
{'hecke_orbit_code': 18014398543036962, 'n': 66, 'trace_an': -1}
-
id: 146970066
{'hecke_orbit_code': 18014398543036962, 'n': 67, 'trace_an': -6}
-
id: 146970067
{'hecke_orbit_code': 18014398543036962, 'n': 68, 'trace_an': 7}
-
id: 146970068
{'hecke_orbit_code': 18014398543036962, 'n': 69, 'trace_an': 7}
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