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mf_newforms • Show schema
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{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [23, -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': [690, 1, [461, 277, 511], [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': [[7, [-4, 1]], [11, [2, 1]], [17, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925618, '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': '690.2.a.b', 'level': 690, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+4q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/690/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '690.2.a', 'trace_display': [-1, -1, -1, 4], 'trace_hash': 1686563788769439556, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.118', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, -1, -1, 1, -1, 1, 4, -1, 1, 1, -2, -1, 0, -4, 1, 1, 2, -1, 0, -1, -4, 2, 1, 1, 1, 0, -1, 4, -4, -1, 0, -1, 2, -2, -4, 1, 10, 0, 0, 1, 6, 4, 2, -2, -1, -1, 12, -1, 9, -1, -2, 0, 6, 1, 2, -4, 0, 4, 12, 1, -14, 0, 4, 1, 0, -2, 2, 2, -1, 4, -2, -1, 6, -10, -1, 0, -8, 0, 8, -1, 1, -6, 8, -4, -2, -2, 4, 2, -8, 1, 0, 1, 0, -12, 0, 1, 0, -9, -2, 1, -12, 2, 4, 0, 4, -6, -12, -1, 14, -2, -10, 4, 6, 0, -1, -4, 0, -12, 8, -1, -7, 14, -6, 0, -1, -4, 6, -1, -2, 0, 0, 2, 0, -2, 1, -2, -2, 1, 20, -4, -12, 2, 0, 1, 4, -6, -9, 10, -14, 1, -12, 0, 2, 8, 0, 0, -22, -8, -6, 1, 4, -1, -16, 6, -2, -8, 0, 4, -13, 2, 0, 2, -6, -4, 4, -2, -12, 8, 4, -1, -6, 0, 14, -1, -10, 0, -4, 12, -4, 0, 0, -1, -14, 0, 0, 9, -6, 2, 16, -1, -2, 12, -16, -2, -6, -4, 1, 0, 0, -4, 4, 6, 2, 12, -2, 1, 0, -14, -6, 2, 0, 10, 2, -4, 1, -6, 12, 0, -26, 1, 8, 4, 10, 0, -12, 12, -8, -8, 22, 1, -14, 7, -1, -14, -9, 6, 0, 0, -8, 1, 18, 4, -2, -6, 2, 1, 2, 2, 40, 0, -4, 0, -32, -2, -6, 0, 8, 2, 24, -1, 8, 2, 0, 2, -2, -1, 8, -20, 0, 4, 32, 12, -10, -2, 0, 0, 24, -1, -13, -4, 0, 6, 14, 9, -12, -10, 2, 14, 0, -1, 8, 12, 12, 0, 14, -2, 4, -8, -4, 0, -2, 0, 20, 22, -4, 8, -10, 6, 8, -1, 12, -4, 0, 1, 0, 16, -14, -6, 48, 2, -28, 8, 10, 0, -2, -4, -4, 13, -6, -2, 0, 0, 8, -2, 1, 6, 4, 4, -30, -4, 0, 2, -34, 12, 2, -8, -8, -4, 0, 1, -19, 6, 7, 0, -6, -14, 4, 1, 6, 10, 24, 0, -22, 4, 1, -12, 0, 4, 4, 0, -6, 0, -24, 1, 8, 14, 2, 0, 22, 0, 2, -9, 0, 6, -8, -2, 32, -16, 0, 1, -12, 2, 0, -12, -1, 16, -20, 2, -10, 6, 2, 4, 48, -1, -8, 0, -20, 0, -26, 4, -6, -4, 12, -6, 2, -2, -56, -12, 0, 2, 24, -1, 24, 0, -4, 14, 0, 6, 20, -2, 9, 0, -20, -10, 8, -2, 14, 4, -34, -1, -12, 6, 12, -12, 0, 0, -24, 26, -2, -1, 20, -8, 18, -4, 0, -10, 24, 0, 8, 12, 22, -12, -4, 8, 0, 8, 6, -22, -40, -1, 0, 14, -4, -7, 0, 1, 18, 14, 16, 9, -24, -6, -8, 0, 2, 0, -8, 8, -28, -1, 0, -18, -8, -4, 12, 2, 13, 6, 28, -2, 24, -1, 0, -2, -4, -2, -24, -40, 6, 0, 32, 4, 22, 0, -4, 32, 0, 2, 1, 6, 12, 0, 0, -8, 12, -2, -4, -24, -18, 1, -22, -8, 6, -2, -14, 0, 12, -2, -14, 2, 0, 1, 32, -8, 10, 20, 26, 0, 0, -4, 4, -32, 8, -12, -6, 10, 4, 2, -12, 0, -36, 0, 0, -24, 1, 1, -10, 13, 14, 4, 32, 0, -12, -6, 0, -14, -4, -9, 0, 12, 6, 10, -30, -2, -8, -14, -16, 0, -30, 1, -10, -8, 2, -12, 7, -12, -14, 0, 16, -14, 0, 2, 14, -4, 6, 8, -14, 4, -24, 0, -1, 2, -32, 0, 1, -20, 0, -22, 20, 4, -16, -8, -4, 10, -6, -6, 0, -8, -2, 1, -8, -12, 14, 4, 2, 0, 12, -1, -24, 0, 0, -16, -26, 14, 0, 6, 6, -48, -18, -2, 6, 28, 0, -8, 0, -10, -4, 0, -2, 2, 28, 4, -18, 4, -1, -13, -22, 6, 0, 2, -12, 0, -36, 0, 2, -8, 26, 2, 0, -1, -20, -6, -8, -4, -20, -4, 12, 30, -10, 4, 6, 0, 0, -2, 12, 34, -48, -12, 22, -2, 8, 8, 0, 8, 0, 4, -22, 0, 18, -1, 16, 19, 14, -6, -4, -7, 8, 0, 1, 6, 4, 14, -30, -4, 9, -1, -4, -6, 36, -10, 0, -24, 16, 0, 14, 22, 8, -4, -48, -1, 40, 12, -18, 0, 12, -4, 22, -4, 2, 0, 2, 6, 56, 0, -2, 24, 0, -1, 6, -8, -2, -14, 6, -2, 0, 0, -40, -22, 0, 0, 4, -2, 4, 9, 22, 0, -34, -6, 32, 8, 24, 2, 0, -32, 6, 16, 50, 0, 24, -1, -8, 12, -12, -2, -4, 0, -24, 12, -30, 1, 52, -16, -8, 20, 16, -2, 0, 10, 0, -6, -16, -2, -10, -4, 2, -48, 44, 1, 10, 8, -8, 0, 18, 20, 0, 0, 0, 26, -20, -4, -13, 6, -32, 4, 13, -12, -28, 6, 10, -2, 10, 2, 56, 56, 0, 12, -42, 0, 36, -2, -24, -24, 36, 1, 6, -24, 13, 0, -16, 4, 0, -14, 0, 0, -4, -6, -56, -20, -14, 2, 40, -9, -48, 0, 12, 20, -36, 10, 24, -8, -2, 2, 0, -14, -4, -4, 0, 34, 0, 1, 12, 12, -8, -6, 6, -12, 42, 12, -12, 0, -12, 0, -16, 24, -14, -26, 0, 2, -32, 1, -4, -20, 0, 8, 10, -18, 4, 4, 30, 0, 0, 10, 2, -24, 4, 0, 48, -8, -20, -12, 26, -22, 6, 12, 4, 4, -52, -8, 0, 0, 10, -8, 14, -6, 0, 22, -8, 40, -8, 1, -31, 0, -12, -14, 14, 4, 58, 7, 0, 0, 50, -1, 80, -18, 0, -14, 18, -16, 16, -9, 14, 24, 24, 6, 6, 8, -48, 0, 2, -2, 52, 0, 28, 8, -16, -8, 40, 28, -10, 1], '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], [4], [-1], [1], [1], [-2], [-1], [0], [-4], [1], [1], [2], [-1], [0], [-1], [-4], [2], [1], [1], [1], [0], [-1], [4], [-4], [-1], [0], [-1], [2], [-2], [-4], [1], [10], [0], [0], [1], [6], [4], [2], [-2], [-1], [-1], [12], [-1], [9], [-1], [-2], [0], [6], [1], [2], [-4], [0], [4], [12], [1], [-14], [0], [4], [1], [0], [-2], [2], [2], [-1], [4], [-2], [-1], [6], [-10], [-1], [0], [-8], [0], [8], [-1], [1], [-6], [8], [-4], [-2], [-2], [4], [2], [-8], [1], [0], [1], [0], [-12], [0], [1], [0], [-9], [-2], [1]], 'ap': [[-1], [-1], [-1], [4], [-2], [0], [2], [0], [1], [-4], [0], [10], [6], [2], [12], [6], [12], [-14], [2], [-2], [6], [8], [8], [-8], [0], [-12], [4], [-12], [14], [6], [6], [0], [-2], [20], [-14], [-12], [-22], [-16], [0], [-6], [4], [-6], [0], [-14], [-6], [16], [4], [2], [12], [-26], [10], [22], [-14], [18], [2], [-32], [24], [8], [8], [32], [-10], [14], [4], [-2], [20], [-10], [-28], [-4], [4], [-30], [-34], [0], [4], [-22], [4], [-24], [22], [32], [-12], [-10], [-26], [-6], [24], [24], [20], [-20], [-34], [-24], [20], [18], [24], [-40], [18], [-24], [-28], [-8], [28], [32], [22], [-22], [12], [26], [8], [-12], [-36], [-10], [-4], [-30], [-30], [-10], [-14], [14], [-14], [-24], [-16], [-8], [14], [12], [-26], [-18], [6], [-18], [-22], [-36], [-20], [6], [22], [18], [8], [-30], [36], [16], [40], [22], [2], [6], [6], [-34], [50], [-30], [52], [-16], [-10], [44], [10], [-20], [56], [-42], [36], [36], [-56], [40], [-48], [-36], [42], [-12], [-32], [30], [48], [26], [-52], [14], [58], [50], [18], [24], [52], [40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925618, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '690.2.a.b', 'level': 690, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, 1], [5, 1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [23, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1], [23, -1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [5, 1], [23, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [5, 1], [23, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [23, -1]], 1, 1]], 'ALdims': [1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0], 'Nk2': 2760, 'analytic_conductor': 5.509677739468347, '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': [690, 1, [461, 277, 511], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 13, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33555122, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '690.2.a', 'level': 690, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 152, 'mf_new_dim': 13, 'num_forms': 12, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 288, 'trace_bound': 11, 'trace_display': [1, -3, 1, 0], 'traces': [13, 1, -3, 13, 1, 1, 0, 1, 13, 1, 12, -3, -2, -8, 1, 13, 2, 1, 12, 1, 0, -4, 1, 1, 13, 14, -3, 0, 6, 1, 0, 1, -4, 18, 0, 13, -2, 4, -10, 1, 18, 8, -12, 12, 1, 1, 0, -3, -11, 1, 2, -2, -10, 1, 12, -8, -4, 22, 4, 1, 6, 0, 0, 13, 14, 12, -4, 2, 1, 0, 32, 1, 34, -26, -3, 12, -48, 6, -24, 1, 13, -22, -28, 0, 2, -20, -2, -4, -38, 1, 32, 1, -32, -32, 4, 1, -22, -7, 12, 13, 30, 2, -32, 14, 0, 22, -52, -3, -10, -4, -2, 0, 18, -12, -3, 6, -2, -28, -48, 1, 1, -34, 18, 0, 1, -8, -56, 1, -12, -2, 44, -4, -32, -60, 1, 18, -38, -7, -20, 0, -16, -40, 8, 13, 14, 10, -59, -2, -26, 1, 24, 4, 2, -16, 32, -10, -58, 0, -26, 1, 0, 1, -44, 18, 4, 36, -56, 8, -5, 2, 12, -12, 46, -18, 0, 12, 4, 26, -36, 1, 46, -16, 6, 1, -18, 0, 40, 0, 0, -4, -32, -3, -6, 18, -2, -11, -10, -4, -16, 1, -4, -2, 32, 2, 10, -8, 1, -2, 16, 0, -28, -10, -8, -20, 20, 1, 32, -18, -46, 12, 92, -10, -40, -8, 13, 18, 52, -4, -50, 1, 48, 22, -22, 14, -32, 4, -24, -16, -8, 1, 58, -27, -3, 6, 25, 10, -72, 0, -12, 1, 12, 0, -12, -32, 2, 13, 82, 28, 48, 14, 6, -4, -40, 12, 14, 16, 42, -4, 54, 1, 64, 2, -32, -38, 12, 1, -26, -4, 0, 0, 42, 16, 52, 32, -28, -8, 64, 1, 39, -18, -22, 34, 86, -7, -4, -26, -4, 22, -18, -3, 32, -72, 54, 12, 46, 18, 84, -48, -16, -32, -48, 6, -14, 30, 0, -24, 30, 6, 24, 1, 28, -8, -24, 13, -2, 4, -26, -22, 32, -12, -52, -28, -2, -8, -20, 0, -6, 23, -14, 2, 0, 4, 0, -20, -3, 22, -52, -2, -58, -8, -10, -4, 50, 36, 40, -38, 48, 12, 24, 1, -7, 22, 1, 32, -6, -18, 24, 1, 18, 6, 0, -32, -34, 8, 1, -32, 132, 8, -12, 4, 32, 0, -32, 1, -16, 66, -12, -22, 38, -2, 10, -7, -4, 30, 0, 12, -18, 24, 32, 13, 18, -12, 128, 30, 1, -48, -104, 2, 50, 42, 26, -32, 144, 1, -4, 14, 44, 80, 52, 0, -66, -28, 0, 22, 2, -16, -16, -52, -8, 4, -80, -3, 106, -32, 14, -10, 20, -6, 40, -4, -11, 76, 12, -2, 34, 0, 54, 0, -6, 1, 24, 18, -56, -28, 0, -12, -14, 70, 2, -3, 22, 16, -88, 6, 0, -14, 36, -2, 96, -48, -10, -28, -96, -16, 12, -48, -10, -32, -16, 1, 4, 50, 0, 1, -54, 1, 64, -34, 4, 25, -108, 18, 44, 24, 12, 0, -80, 4, -12, 1, 40, 44, 8, -8, -10, 12, -5, -56, 70, -30, 0, 1, -4, 10, 64, -12, 64, 64, -18, -2, -38, 22, 4, 44, 0, 24, -32, -4, 13, 6, 4, -32, -52, 10, -12, -60, 12, 22, 44, 1, -138, 48, -18, 18, -50, 16, 4, -38, 6, -4, -152, -7, 16, 6, 14, -20, 30, 0, 8, 0, -24, -54, -44, -16, -30, 28, 0, -40, 10, -4, -60, 8, 80, -48, 1, 13, 26, 83, 42, 14, -80, 34, -24, 10, 14, 22, 44, -59, 0, -4, 22, -2, -94, 12, -80, -26, -32, -2, -32, 1, -94, -16, -4, 24, 5, -10, -24, 4, -32, -10, -32, 2, -66, -12, -6, -16, 42, -8, -76, 32, 1, 56, -16, -10, 13, -54, 32, -58, 12, 0, -208, 0, -28, -10, -64, -26, 110, -56, 32, 1, -14, -20, 12, 0, -52, -24, -40, 1, -144, 14, -32, -44, -114, -18, -12, 18, 34, 0, -108, 4, -18, 108, 44, 36, -48, -26, -2, -56, 32, -52, -8, 8, -150, -62, -3, -5, -26, 66, -96, 2, -28, -32, 172, 12, -54, -112, 30, -12, -76, -7, -60, 46, -48, 60, -84, -18, -140, 126, 58, 0, -50, 6, 104, 12, 32, 58, -32, 4, 78, -40, -24, 26, -32, 16, -40, -36, -80, -8, 40, 1, -48, -3, -70, 46, 6, -11, 128, -16, 13, 26, -56, 6, -122, 32, -39, 1, 0, -22, 100, -18, -56, 96, 8, 0, -66, 118, -28, 40, -48, 1, 8, 0, -4, -28, 24, 0, 142, 44, 12, -4, 2, 24, -48, -32, 2, -64, 8, -3, -38, -64, 2, -6, 22, -20, 0, 18, -48, 6, 24, -2, -16, 2, -2, -11, -10, 12, 156, -10, -24, -48, -112, -4, -12, -18, 14, -16, 46, -16, 32, 1, -38, -30, 88, -4, -8, -32, 30, -2, -126, 1, 44, 32, -64, 24, -44, 2, 80, 90, 32, 10, -66, 74, 32, -8, -4, 16, -84, 1, -10, 4, -34, -2, 82, -36, -8, 16, -32, 100, -88, 0, -53, 38, 122, -28, -73, -32, -160, -10, 52, 18, -2, -8, 22, 96, 4, -20, 74, -56, 12, 20, -64, -96, 16, 1, -2, 66, 87, 32, -112, -2, 56, -18, -22, 12, 0, -46, -18, 56, -90, 12, 66, -7, 100, 92, 12, 60, 72, -10, 160, -6, 12, -40, 96, 6, 52, -8, -2, -46, 96, 13, 12, 88, -32, 18, 70, 40, 196, 52, 30, -32, 32, -4, 0, -70, -66, -50, 48, 2, 64, 1, 52, 6, -144, 48, -2, -160, -32, 22, -38, 32, 12, -22, 72, -76, -40, 14, 162, -48, 114, -32, -34, -66, 10, 4, 0, 64, 68, -24, 76, 4, 78, -16, 90, 22, 32, -8, 40, 48, 80, 1, -19, 180, -52, 58, 34, 8, 0, -27, -120, -62, 156, -3, 192, 120, -10, 6, 162, 20, 56, 25, -10, 116, 120, 10, -90, 60, -32, -72, -12, -4, 112, 0, 108, -112, 8, -12, 70, -108, -2, 1], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 452491
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '690.2.a.b', 'source_level': 690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '690.2.a.b', 'target_level': 690, 'twist_class_label': '690.2.a.b', 'twist_class_level': 690, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 452492
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '690.2.a.b', 'source_level': 690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2070.2.a.s', 'target_level': 2070, 'twist_class_label': '690.2.a.b', 'twist_class_level': 690, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 452493
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '690.2.a.b', 'source_level': 690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3450.2.a.t', 'target_level': 3450, 'twist_class_label': '690.2.a.b', 'twist_class_level': 690, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 452494
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '690.2.a.b', 'source_level': 690, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3450.2.d.n', 'target_level': 3450, 'twist_class_label': '690.2.a.b', 'twist_class_level': 690, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 452495
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '690.2.a.b', 'source_level': 690, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '5520.2.a.r', 'target_level': 5520, 'twist_class_label': '690.2.a.b', 'twist_class_level': 690, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1211775
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 2}
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id: 1211776
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 3}
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id: 1211777
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 5}
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id: 1211778
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 7}
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id: 1211779
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 11}
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id: 1211780
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 13}
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id: 1211781
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 17}
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id: 1211782
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 19}
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id: 1211783
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 23}
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id: 1211784
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 29}
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id: 1211785
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 31}
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id: 1211786
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 37}
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id: 1211787
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 41}
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id: 1211788
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 43}
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id: 1211789
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 47}
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id: 1211790
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 53}
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id: 1211791
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 59}
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id: 1211792
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 61}
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id: 1211793
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 67}
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id: 1211794
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 71}
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id: 1211795
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 73}
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id: 1211796
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 79}
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id: 1211797
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 83}
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id: 1211798
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 89}
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id: 1211799
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925618, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '690.2.a.b', 'level': 690, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62774000
{'hecke_orbit_code': 4503599660925618, 'n': 1, 'trace_an': 1}
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id: 62774001
{'hecke_orbit_code': 4503599660925618, 'n': 2, 'trace_an': -1}
-
id: 62774002
{'hecke_orbit_code': 4503599660925618, 'n': 3, 'trace_an': -1}
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id: 62774003
{'hecke_orbit_code': 4503599660925618, 'n': 4, 'trace_an': 1}
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id: 62774004
{'hecke_orbit_code': 4503599660925618, 'n': 5, 'trace_an': -1}
-
id: 62774005
{'hecke_orbit_code': 4503599660925618, 'n': 6, 'trace_an': 1}
-
id: 62774006
{'hecke_orbit_code': 4503599660925618, 'n': 7, 'trace_an': 4}
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id: 62774007
{'hecke_orbit_code': 4503599660925618, 'n': 8, 'trace_an': -1}
-
id: 62774008
{'hecke_orbit_code': 4503599660925618, 'n': 9, 'trace_an': 1}
-
id: 62774009
{'hecke_orbit_code': 4503599660925618, 'n': 10, 'trace_an': 1}
-
id: 62774010
{'hecke_orbit_code': 4503599660925618, 'n': 11, 'trace_an': -2}
-
id: 62774011
{'hecke_orbit_code': 4503599660925618, 'n': 12, 'trace_an': -1}
-
id: 62774012
{'hecke_orbit_code': 4503599660925618, 'n': 13, 'trace_an': 0}
-
id: 62774013
{'hecke_orbit_code': 4503599660925618, 'n': 14, 'trace_an': -4}
-
id: 62774014
{'hecke_orbit_code': 4503599660925618, 'n': 15, 'trace_an': 1}
-
id: 62774015
{'hecke_orbit_code': 4503599660925618, 'n': 16, 'trace_an': 1}
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id: 62774016
{'hecke_orbit_code': 4503599660925618, 'n': 17, 'trace_an': 2}
-
id: 62774017
{'hecke_orbit_code': 4503599660925618, 'n': 18, 'trace_an': -1}
-
id: 62774018
{'hecke_orbit_code': 4503599660925618, 'n': 19, 'trace_an': 0}
-
id: 62774019
{'hecke_orbit_code': 4503599660925618, 'n': 20, 'trace_an': -1}
-
id: 62774020
{'hecke_orbit_code': 4503599660925618, 'n': 21, 'trace_an': -4}
-
id: 62774021
{'hecke_orbit_code': 4503599660925618, 'n': 22, 'trace_an': 2}
-
id: 62774022
{'hecke_orbit_code': 4503599660925618, 'n': 23, 'trace_an': 1}
-
id: 62774023
{'hecke_orbit_code': 4503599660925618, 'n': 24, 'trace_an': 1}
-
id: 62774024
{'hecke_orbit_code': 4503599660925618, 'n': 25, 'trace_an': 1}
-
id: 62774025
{'hecke_orbit_code': 4503599660925618, 'n': 26, 'trace_an': 0}
-
id: 62774026
{'hecke_orbit_code': 4503599660925618, 'n': 27, 'trace_an': -1}
-
id: 62774027
{'hecke_orbit_code': 4503599660925618, 'n': 28, 'trace_an': 4}
-
id: 62774028
{'hecke_orbit_code': 4503599660925618, 'n': 29, 'trace_an': -4}
-
id: 62774029
{'hecke_orbit_code': 4503599660925618, 'n': 30, 'trace_an': -1}
-
id: 62774030
{'hecke_orbit_code': 4503599660925618, 'n': 31, 'trace_an': 0}
-
id: 62774031
{'hecke_orbit_code': 4503599660925618, 'n': 32, 'trace_an': -1}
-
id: 62774032
{'hecke_orbit_code': 4503599660925618, 'n': 33, 'trace_an': 2}
-
id: 62774033
{'hecke_orbit_code': 4503599660925618, 'n': 34, 'trace_an': -2}
-
id: 62774034
{'hecke_orbit_code': 4503599660925618, 'n': 35, 'trace_an': -4}
-
id: 62774035
{'hecke_orbit_code': 4503599660925618, 'n': 36, 'trace_an': 1}
-
id: 62774036
{'hecke_orbit_code': 4503599660925618, 'n': 37, 'trace_an': 10}
-
id: 62774037
{'hecke_orbit_code': 4503599660925618, 'n': 38, 'trace_an': 0}
-
id: 62774038
{'hecke_orbit_code': 4503599660925618, 'n': 39, 'trace_an': 0}
-
id: 62774039
{'hecke_orbit_code': 4503599660925618, 'n': 40, 'trace_an': 1}
-
id: 62774040
{'hecke_orbit_code': 4503599660925618, 'n': 41, 'trace_an': 6}
-
id: 62774041
{'hecke_orbit_code': 4503599660925618, 'n': 42, 'trace_an': 4}
-
id: 62774042
{'hecke_orbit_code': 4503599660925618, 'n': 43, 'trace_an': 2}
-
id: 62774043
{'hecke_orbit_code': 4503599660925618, 'n': 44, 'trace_an': -2}
-
id: 62774044
{'hecke_orbit_code': 4503599660925618, 'n': 45, 'trace_an': -1}
-
id: 62774045
{'hecke_orbit_code': 4503599660925618, 'n': 46, 'trace_an': -1}
-
id: 62774046
{'hecke_orbit_code': 4503599660925618, 'n': 47, 'trace_an': 12}
-
id: 62774047
{'hecke_orbit_code': 4503599660925618, 'n': 48, 'trace_an': -1}
-
id: 62774048
{'hecke_orbit_code': 4503599660925618, 'n': 49, 'trace_an': 9}
-
id: 62774049
{'hecke_orbit_code': 4503599660925618, 'n': 50, 'trace_an': -1}
-
id: 62774050
{'hecke_orbit_code': 4503599660925618, 'n': 51, 'trace_an': -2}
-
id: 62774051
{'hecke_orbit_code': 4503599660925618, 'n': 52, 'trace_an': 0}
-
id: 62774052
{'hecke_orbit_code': 4503599660925618, 'n': 53, 'trace_an': 6}
-
id: 62774053
{'hecke_orbit_code': 4503599660925618, 'n': 54, 'trace_an': 1}
-
id: 62774054
{'hecke_orbit_code': 4503599660925618, 'n': 55, 'trace_an': 2}
-
id: 62774055
{'hecke_orbit_code': 4503599660925618, 'n': 56, 'trace_an': -4}
-
id: 62774056
{'hecke_orbit_code': 4503599660925618, 'n': 57, 'trace_an': 0}
-
id: 62774057
{'hecke_orbit_code': 4503599660925618, 'n': 58, 'trace_an': 4}
-
id: 62774058
{'hecke_orbit_code': 4503599660925618, 'n': 59, 'trace_an': 12}
-
id: 62774059
{'hecke_orbit_code': 4503599660925618, 'n': 60, 'trace_an': 1}
-
id: 62774060
{'hecke_orbit_code': 4503599660925618, 'n': 61, 'trace_an': -14}
-
id: 62774061
{'hecke_orbit_code': 4503599660925618, 'n': 62, 'trace_an': 0}
-
id: 62774062
{'hecke_orbit_code': 4503599660925618, 'n': 63, 'trace_an': 4}
-
id: 62774063
{'hecke_orbit_code': 4503599660925618, 'n': 64, 'trace_an': 1}
-
id: 62774064
{'hecke_orbit_code': 4503599660925618, 'n': 65, 'trace_an': 0}
-
id: 62774065
{'hecke_orbit_code': 4503599660925618, 'n': 66, 'trace_an': -2}
-
id: 62774066
{'hecke_orbit_code': 4503599660925618, 'n': 67, 'trace_an': 2}
-
id: 62774067
{'hecke_orbit_code': 4503599660925618, 'n': 68, 'trace_an': 2}
-
id: 62774068
{'hecke_orbit_code': 4503599660925618, 'n': 69, 'trace_an': -1}
-
id: 62774069
{'hecke_orbit_code': 4503599660925618, 'n': 70, 'trace_an': 4}
-
id: 62774070
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