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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_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [1, 1]], [11, [-5, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407458, '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.f', '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.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/546/f'], '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, -1, 1], 'trace_hash': 229312587213890970, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.076', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.228', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 5, 1, -1, 1, -1, 1, -3, 1, -1, -1, 1, 5, 3, 1, -4, -1, 1, 1, 9, -1, 4, 1, 5, -3, -1, 1, -11, -1, -1, -1, 0, 1, -5, 5, -1, 3, -8, 1, 1, -4, -3, -1, -2, 1, -5, 1, -1, 9, 4, -1, -15, 4, 1, 1, 1, 5, -2, -3, 3, -1, -12, 1, 11, -11, -4, -1, 5, -1, 10, -1, 1, 0, -14, 1, 3, -5, 9, 5, 6, -1, -1, 3, 4, -8, 1, 1, -14, 1, 5, -4, 4, -3, -15, -1, -1, -2, 10, 1, -9, -5, -11, 1, 2, -1, -3, 9, -1, 4, -3, -1, 14, -15, 0, 4, 9, 1, 2, 1, -5, 1, 13, 5, -1, -2, -1, -3, 19, 3, 0, -1, -8, -12, -5, 1, -9, 11, 1, -11, -4, -4, -23, -1, -3, 5, -4, -1, -3, 10, -2, -1, 3, 1, 10, 0, -5, -14, -21, 1, 1, 3, -1, -5, 6, 9, -4, 5, 4, 6, 12, -1, 14, -1, -15, 3, 11, 4, -15, -8, 1, 1, 3, 1, 12, -14, 1, 1, -12, 5, 11, -4, -2, 4, 9, -3, 0, -15, 3, -1, -5, -1, 9, -2, -12, 10, 5, 1, 4, -9, 11, -5, 3, -11, -14, 1, -4, 2, 18, -1, 6, -3, 5, 9, 24, -1, 8, 4, 10, -3, -12, -1, 18, 14, 1, -15, -1, 0, 1, 4, -14, 9, -7, 1, 15, 2, 3, 1, 6, -5, -11, 1, 9, 13, 12, 5, 2, -1, 6, -2, 18, -1, -22, -3, -1, 19, -20, 3, 26, 0, 4, -1, -26, -8, 4, -12, 1, -5, 0, 1, -8, -9, -14, 11, 14, 1, -4, -11, 5, -4, -3, -4, -5, -23, 4, -1, 15, -3, 0, 5, -15, -4, -10, -1, -8, -3, -1, 10, 24, -2, 45, -1, 10, 3, 3, 1, 4, 10, -9, 0, -8, -5, 10, -14, -11, -21, 2, 1, -5, 1, 2, 3, 20, -1, 1, -5, -3, 6, -16, 9, 14, -4, -1, 5, 18, 4, 12, 6, -3, 12, -4, -1, -18, 14, 14, -1, -11, -15, 32, 3, 0, 11, -2, 4, -4, -15, 9, -8, -9, 1, 16, 1, 2, 3, -29, 1, -5, 12, -5, -14, -2, 1, -9, 1, 13, -12, -10, 5, 6, 11, -1, -4, -18, -2, -4, 4, -1, 9, -55, -3, 25, 0, 19, -15, 4, 3, 14, -1, 0, -5, 7, -1, 30, 9, -8, -2, 12, -12, -15, 10, -5, 5, -2, 1, 28, 4, -9, -9, -3, 11, 13, -5, 1, 3, -18, -11, -6, -14, -4, 1, 23, -4, 0, 2, -23, 18, 1, -1, -32, 6, -3, -3, -35, 5, 9, 9, -4, 24, -15, -1, -2, 8, -3, 4, -25, 10, 4, -3, -2, -12, -31, -1, 11, 18, 3, 14, 14, 1, -16, -15, 10, -1, -26, 0, -27, 1, -5, 4, -12, -14, -4, 9, -21, -7, 42, 1, -4, 15, 1, 2, 13, 3, 11, 1, -1, 6, 15, -5, -40, -11, 6, 1, -17, 9, -8, 13, -4, 12, -12, 5, -14, 2, 4, -1, 0, 6, -10, -2, 12, 18, 5, -1, -25, -22, 14, -3, 9, -1, -12, 19, -15, -20, -9, 3, 10, 26, 11, 0, -44, 4, 5, -1, -15, -26, -3, -8, -2, 4, 1, -12, -46, 1, 40, -5, 3, 0, -12, 1, -38, -8, 12, -9, -14, -14, -10, 11, 1, 14, 14, 1, -4, -4, -12, -11, 6, 5, 3, -4, 11, -3, 5, -4, -28, -5, -2, -23, -14, 4, -43, -1, 9, 15, 8, -3, -9, 0, 0, 5, 9, -15, -17, -4, 3, -10, 6, -1, 11, -8, -5, -3, 33, -1, 37, 10, 9, 24, -2, -2, -1, 45, -12, -1, -30, 10, -7, 3, 5, 3, 32, 1, 20, 4, 4, 10, 31, -9, -13, 0, 11, -8, 30, -5, 46, 10, 3, -14, 1, -11, 27, -21, -14, 2, -75, 1, -33, -5, -4, 1, 34, 2, -14, 3, 18, 20, -9, -1, -19, 1, 6, -5, 2, -3, 20, 6, 5, -16, 0, 9, 0, 14, 24, -4, 2, -1, 11, 5, 8, 18, 4, 4, -18, 12, 10, 6, 12, -3, 5, 12, -12, -4, 34, -1, -15, -18, 18, 14, -36, 14, -35, -1, 1, -11, 15, -15, 20, 32, -1, 3, -10, 0, -2, 11, 1, -2, -26, 4, 4, -4, -14, -15, 10, 9, -32, -8, -7, -9, 23, 1, -26, 16, 15, 1, 20, 2, -9, 3, 3, -29, -4, 1, 49, -5, 6, 12, -3, -5, -16, -14, -11, -2, 0, 1, -60, -9, 9, 1, 3, 13, 39, -12, 12, -10, 2, 5, 15, 6, 2, 11, 0, -1, 24, -4, 6, -18, 55, -2, -3, -4, 18, 4, 54, -1, 35, 9, -22, -55, -10, -3, 5, 25, -1, 0, -32, 19, -16, -15, -20, 4, -19, 3, 25, 14, 26, -1, -3, 0, 21, -5, 4, 7, -28, -1, 52, 30, -26, 9, -1, -8, 14, -2, 4, 12, -33, -12, -28, -15, 1, 10, 18, -5, -8, 5, 0, -2, 38, 1, -6, 28, -8, 4, 50, -9, 2, -9, -14, -3, 9, 11, -18, 13, 14, -5, 21, 1, 51, 3, -4, -18, 48, -11, 2, -6, 5, -14, 8, -4, -12, 1, -3, 23, 36, -4, 6, 0, -5, 2, -14, -23, 12, 18, 4, 1, -19, -1, -70, -32, 15, 6, 13, -3, 38, -3, 0, -35, 12, 5, 44, 9, -15, 9, -8, -4, -1, 24, -10, -15, 15, -1, 14, -2, -8, 8, 18, -3, 0, 4, -1, -25, -39, 10, -11, 4, 24, -3, 16, -2, -3, -12, 45, -31, 19, -1, -15, 11, 10, 18, -12, 3, -5, 14, 3, 14, -8, 1, 0, -16, 4, -15, -51, 10, 30, -1, -9, -26, 25, 0, 12, -27, -8, 1, -15, -5, -2, 4, 10, -12, -11, -14, -10, -4, -11, 9], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [-1], [1], [1], [1], [1], [-1], [5], [1], [-1], [1], [-1], [1], [-3], [1], [-1], [-1], [1], [5], [3], [1], [-4], [-1], [1], [1], [9], [-1], [4], [1], [5], [-3], [-1], [1], [-11], [-1], [-1], [-1], [0], [1], [-5], [5], [-1], [3], [-8], [1], [1], [-4], [-3], [-1], [-2], [1], [-5], [1], [-1], [9], [4], [-1], [-15], [4], [1], [1], [1], [5], [-2], [-3], [3], [-1], [-12], [1], [11], [-11], [-4], [-1], [5], [-1], [10], [-1], [1], [0], [-14], [1], [3], [-5], [9], [5], [6], [-1], [-1], [3], [4], [-8], [1], [1], [-14], [1], [5], [-4]], 'ap': [[1], [1], [-1], [1], [5], [-1], [-3], [-1], [3], [9], [4], [-11], [0], [-5], [-8], [-2], [4], [-15], [-2], [-12], [11], [10], [-14], [6], [-14], [4], [-15], [10], [-9], [2], [2], [13], [19], [0], [-4], [-23], [-3], [10], [-21], [6], [12], [14], [3], [12], [-12], [11], [9], [-14], [18], [6], [24], [-12], [18], [-7], [6], [12], [18], [-22], [26], [-26], [4], [14], [0], [-10], [-8], [24], [10], [-5], [-16], [14], [18], [-4], [32], [-4], [16], [-29], [-2], [6], [-18], [25], [7], [30], [-2], [28], [13], [-18], [23], [-32], [-35], [9], [-15], [-31], [-16], [-26], [-4], [42], [13], [-17], [-8], [-25], [-12], [-44], [-3], [-46], [40], [-38], [14], [6], [5], [-28], [-43], [-9], [9], [-17], [37], [-30], [-7], [32], [31], [30], [46], [-33], [34], [-9], [20], [2], [-18], [34], [-35], [20], [-2], [-26], [-32], [-26], [20], [49], [-3], [39], [0], [54], [35], [-32], [-16], [-19], [25], [-28], [-28], [18], [-8], [38], [-18], [21], [51], [48], [12], [-19], [38], [-8], [14], [18], [-39], [16], [-5], [-8], [-51], [25], [-2], [-10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170407458, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '546.2.a.f', '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]], 'ALdims': [0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0], '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_index': 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, -8, 6, -56, 8, -32, 24, 40, 1, 34, 82, -33, 13, -74, 50, -6, 12, 12, 0, 60, 4, 156, 1, -26, 4, -26, -88, 84, 14, 12, -36, 72, 14, -28, 126, 90, 31, -26, -3, 120, 12, 48, 26, 54, -12, 86, -48, 0, 50, -32, 10, -32, 44, -112, 8, 160, 6, -32, -35, 66, -10, 106, 5, 48, 1, 13, -68, 104, -18, 94, 48, 6, -16, -64, -14, 124, 4, -12, -2, -24, 16, -124, 38, -12, -8, 76, 12, -16, -16, 52, 22, 160, -3, -2, 140, 128, -56, 122, 0, 30, 8, -36, -56, -28, 1, 82, -56, -22, -6, 102, -20, 176, 18, -2, 126, -72, 6, -16, -80, -10, 13, 132, -44, -12, -10, -24, 48, -46, 4, 30, -50, 84, 16, 30, -12, 96, -1, -6, -86, 104, -12, 48, 16, 38, 22, 2, 6, -4, -2, -16, -72, -24, 2, 80, 122, -3, -4, 150, 10, 8, -24, -92, -12, 108, 0, 110, -56, 54, 1, 2, 44, 8, 96, -32, 36, 72, -2, 35, 38, 10, 28, 6, -24, 69, 14, -4, 46, 16, 40, -106, 14, -40, 28, 58, -4, 28, -24, 26, 16, 48, 1, -12, 18, 19, 0, -32, -36, 28, -2, -30, 48, -84, -22, 126, 24, -26, 8, -30, 1, 140, -14, 136, 12, -136, -2, -48, -84, 12, 32, 64, 22, 216, 1, -24, 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: 377395
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '546.2.a.f', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '546.2.a.f', 'target_level': 546, 'twist_class_label': '546.2.a.f', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 377396
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '546.2.a.f', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1638.2.a.h', 'target_level': 1638, 'twist_class_label': '546.2.a.f', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377397
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '546.2.a.f', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3822.2.a.w', 'target_level': 3822, 'twist_class_label': '546.2.a.f', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377398
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '546.2.a.f', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4368.2.a.e', 'target_level': 4368, 'twist_class_label': '546.2.a.f', 'twist_class_level': 546, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 377399
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '546.2.a.f', 'source_level': 546, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '7098.2.a.n', 'target_level': 7098, 'twist_class_label': '546.2.a.f', '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: 1028975
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 2}
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id: 1028976
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 3}
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id: 1028977
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 5}
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id: 1028978
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 7}
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id: 1028979
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 11}
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id: 1028980
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 13}
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id: 1028981
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 17}
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id: 1028982
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 19}
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id: 1028983
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 23}
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id: 1028984
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 29}
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id: 1028985
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 31}
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id: 1028986
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 37}
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id: 1028987
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 41}
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id: 1028988
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 43}
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id: 1028989
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 47}
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id: 1028990
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 53}
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id: 1028991
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 59}
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id: 1028992
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 61}
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id: 1028993
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 67}
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id: 1028994
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 71}
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id: 1028995
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 73}
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id: 1028996
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 79}
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id: 1028997
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 83}
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id: 1028998
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 89}
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id: 1028999
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 22517998170407458, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '546.2.a.f', 'level': 546, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 162051000
{'hecke_orbit_code': 22517998170407458, 'n': 1, 'trace_an': 1}
-
id: 162051001
{'hecke_orbit_code': 22517998170407458, 'n': 2, 'trace_an': 1}
-
id: 162051002
{'hecke_orbit_code': 22517998170407458, 'n': 3, 'trace_an': 1}
-
id: 162051003
{'hecke_orbit_code': 22517998170407458, 'n': 4, 'trace_an': 1}
-
id: 162051004
{'hecke_orbit_code': 22517998170407458, 'n': 5, 'trace_an': -1}
-
id: 162051005
{'hecke_orbit_code': 22517998170407458, 'n': 6, 'trace_an': 1}
-
id: 162051006
{'hecke_orbit_code': 22517998170407458, 'n': 7, 'trace_an': 1}
-
id: 162051007
{'hecke_orbit_code': 22517998170407458, 'n': 8, 'trace_an': 1}
-
id: 162051008
{'hecke_orbit_code': 22517998170407458, 'n': 9, 'trace_an': 1}
-
id: 162051009
{'hecke_orbit_code': 22517998170407458, 'n': 10, 'trace_an': -1}
-
id: 162051010
{'hecke_orbit_code': 22517998170407458, 'n': 11, 'trace_an': 5}
-
id: 162051011
{'hecke_orbit_code': 22517998170407458, 'n': 12, 'trace_an': 1}
-
id: 162051012
{'hecke_orbit_code': 22517998170407458, 'n': 13, 'trace_an': -1}
-
id: 162051013
{'hecke_orbit_code': 22517998170407458, 'n': 14, 'trace_an': 1}
-
id: 162051014
{'hecke_orbit_code': 22517998170407458, 'n': 15, 'trace_an': -1}
-
id: 162051015
{'hecke_orbit_code': 22517998170407458, 'n': 16, 'trace_an': 1}
-
id: 162051016
{'hecke_orbit_code': 22517998170407458, 'n': 17, 'trace_an': -3}
-
id: 162051017
{'hecke_orbit_code': 22517998170407458, 'n': 18, 'trace_an': 1}
-
id: 162051018
{'hecke_orbit_code': 22517998170407458, 'n': 19, 'trace_an': -1}
-
id: 162051019
{'hecke_orbit_code': 22517998170407458, 'n': 20, 'trace_an': -1}
-
id: 162051020
{'hecke_orbit_code': 22517998170407458, 'n': 21, 'trace_an': 1}
-
id: 162051021
{'hecke_orbit_code': 22517998170407458, 'n': 22, 'trace_an': 5}
-
id: 162051022
{'hecke_orbit_code': 22517998170407458, 'n': 23, 'trace_an': 3}
-
id: 162051023
{'hecke_orbit_code': 22517998170407458, 'n': 24, 'trace_an': 1}
-
id: 162051024
{'hecke_orbit_code': 22517998170407458, 'n': 25, 'trace_an': -4}
-
id: 162051025
{'hecke_orbit_code': 22517998170407458, 'n': 26, 'trace_an': -1}
-
id: 162051026
{'hecke_orbit_code': 22517998170407458, 'n': 27, 'trace_an': 1}
-
id: 162051027
{'hecke_orbit_code': 22517998170407458, 'n': 28, 'trace_an': 1}
-
id: 162051028
{'hecke_orbit_code': 22517998170407458, 'n': 29, 'trace_an': 9}
-
id: 162051029
{'hecke_orbit_code': 22517998170407458, 'n': 30, 'trace_an': -1}
-
id: 162051030
{'hecke_orbit_code': 22517998170407458, 'n': 31, 'trace_an': 4}
-
id: 162051031
{'hecke_orbit_code': 22517998170407458, 'n': 32, 'trace_an': 1}
-
id: 162051032
{'hecke_orbit_code': 22517998170407458, 'n': 33, 'trace_an': 5}
-
id: 162051033
{'hecke_orbit_code': 22517998170407458, 'n': 34, 'trace_an': -3}
-
id: 162051034
{'hecke_orbit_code': 22517998170407458, 'n': 35, 'trace_an': -1}
-
id: 162051035
{'hecke_orbit_code': 22517998170407458, 'n': 36, 'trace_an': 1}
-
id: 162051036
{'hecke_orbit_code': 22517998170407458, 'n': 37, 'trace_an': -11}
-
id: 162051037
{'hecke_orbit_code': 22517998170407458, 'n': 38, 'trace_an': -1}
-
id: 162051038
{'hecke_orbit_code': 22517998170407458, 'n': 39, 'trace_an': -1}
-
id: 162051039
{'hecke_orbit_code': 22517998170407458, 'n': 40, 'trace_an': -1}
-
id: 162051040
{'hecke_orbit_code': 22517998170407458, 'n': 41, 'trace_an': 0}
-
id: 162051041
{'hecke_orbit_code': 22517998170407458, 'n': 42, 'trace_an': 1}
-
id: 162051042
{'hecke_orbit_code': 22517998170407458, 'n': 43, 'trace_an': -5}
-
id: 162051043
{'hecke_orbit_code': 22517998170407458, 'n': 44, 'trace_an': 5}
-
id: 162051044
{'hecke_orbit_code': 22517998170407458, 'n': 45, 'trace_an': -1}
-
id: 162051045
{'hecke_orbit_code': 22517998170407458, 'n': 46, 'trace_an': 3}
-
id: 162051046
{'hecke_orbit_code': 22517998170407458, 'n': 47, 'trace_an': -8}
-
id: 162051047
{'hecke_orbit_code': 22517998170407458, 'n': 48, 'trace_an': 1}
-
id: 162051048
{'hecke_orbit_code': 22517998170407458, 'n': 49, 'trace_an': 1}
-
id: 162051049
{'hecke_orbit_code': 22517998170407458, 'n': 50, 'trace_an': -4}
-
id: 162051050
{'hecke_orbit_code': 22517998170407458, 'n': 51, 'trace_an': -3}
-
id: 162051051
{'hecke_orbit_code': 22517998170407458, 'n': 52, 'trace_an': -1}
-
id: 162051052
{'hecke_orbit_code': 22517998170407458, 'n': 53, 'trace_an': -2}
-
id: 162051053
{'hecke_orbit_code': 22517998170407458, 'n': 54, 'trace_an': 1}
-
id: 162051054
{'hecke_orbit_code': 22517998170407458, 'n': 55, 'trace_an': -5}
-
id: 162051055
{'hecke_orbit_code': 22517998170407458, 'n': 56, 'trace_an': 1}
-
id: 162051056
{'hecke_orbit_code': 22517998170407458, 'n': 57, 'trace_an': -1}
-
id: 162051057
{'hecke_orbit_code': 22517998170407458, 'n': 58, 'trace_an': 9}
-
id: 162051058
{'hecke_orbit_code': 22517998170407458, 'n': 59, 'trace_an': 4}
-
id: 162051059
{'hecke_orbit_code': 22517998170407458, 'n': 60, 'trace_an': -1}
-
id: 162051060
{'hecke_orbit_code': 22517998170407458, 'n': 61, 'trace_an': -15}
-
id: 162051061
{'hecke_orbit_code': 22517998170407458, 'n': 62, 'trace_an': 4}
-
id: 162051062
{'hecke_orbit_code': 22517998170407458, 'n': 63, 'trace_an': 1}
-
id: 162051063
{'hecke_orbit_code': 22517998170407458, 'n': 64, 'trace_an': 1}
-
id: 162051064
{'hecke_orbit_code': 22517998170407458, 'n': 65, 'trace_an': 1}
-
id: 162051065
{'hecke_orbit_code': 22517998170407458, 'n': 66, 'trace_an': 5}
-
id: 162051066
{'hecke_orbit_code': 22517998170407458, 'n': 67, 'trace_an': -2}
-
id: 162051067
{'hecke_orbit_code': 22517998170407458, 'n': 68, 'trace_an': -3}
-
id: 162051068
{'hecke_orbit_code': 22517998170407458, 'n': 69, 'trace_an': 3}
-
id: 162051069
{'hecke_orbit_code': 22517998170407458, 'n': 70, 'trace_an': -1}
-
id: 162051070
{'hecke_orbit_code': 22517998170407458, 'n': 71, 'trace_an': -12}
-
id: 162051071
{'hecke_orbit_code': 22517998170407458, 'n': 72, 'trace_an': 1}
-
id: 162051072
{'hecke_orbit_code': 22517998170407458, 'n': 73, 'trace_an': 11}
-
id: 162051073
{'hecke_orbit_code': 22517998170407458, 'n': 74, 'trace_an': -11}
-
id: 162051074
{'hecke_orbit_code': 22517998170407458, 'n': 75, 'trace_an': -4}
-
id: 162051075
{'hecke_orbit_code': 22517998170407458, 'n': 76, 'trace_an': -1}
-
id: 162051076
{'hecke_orbit_code': 22517998170407458, 'n': 77, 'trace_an': 5}
-
id: 162051077
{'hecke_orbit_code': 22517998170407458, 'n': 78, 'trace_an': -1}
-
id: 162051078
{'hecke_orbit_code': 22517998170407458, 'n': 79, 'trace_an': 10}
-
id: 162051079
{'hecke_orbit_code': 22517998170407458, 'n': 80, 'trace_an': -1}
-
id: 162051080
{'hecke_orbit_code': 22517998170407458, 'n': 81, 'trace_an': 1}
-
id: 162051081
{'hecke_orbit_code': 22517998170407458, 'n': 82, 'trace_an': 0}
-
id: 162051082
{'hecke_orbit_code': 22517998170407458, 'n': 83, 'trace_an': -14}
-
id: 162051083
{'hecke_orbit_code': 22517998170407458, 'n': 84, 'trace_an': 1}
-
id: 162051084
{'hecke_orbit_code': 22517998170407458, 'n': 85, 'trace_an': 3}
-
id: 162051085
{'hecke_orbit_code': 22517998170407458, 'n': 86, 'trace_an': -5}
-
id: 162051086
{'hecke_orbit_code': 22517998170407458, 'n': 87, 'trace_an': 9}
-
id: 162051087
{'hecke_orbit_code': 22517998170407458, 'n': 88, 'trace_an': 5}
-
id: 162051088
{'hecke_orbit_code': 22517998170407458, 'n': 89, 'trace_an': 6}
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id: 162051089
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