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{'Nk2': 33800, 'analytic_conductor': 67.47358970798193, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 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': [8450, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-13, -4, 3, 1]], [7, [-8, -4, 4, 1]], [11, [-13, -4, 3, 1]], [17, [-97, -22, 5, 1]], [31, [-104, 76, -16, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774717186, 'hecke_ring_generator_nbound': 3, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8450.2.a.bx', 'level': 8450, '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': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '338.2.a.g', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(-1+\\beta _{1}+\\beta _{2})q^{3}+q^{4}+(-1+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8450.2.a', 'trace_display': [3, -3, 0, -4], 'trace_hash': 1405088361767879378, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.892', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.178', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.141', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.589', 'prec': 17}, {'__RealLiteral__': 0, 'data': '220.608', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [3, 3, -3, 3, 0, -3, -4, 3, 8, 0, -3, -3, 0, -4, 0, 3, -5, 8, -1, 0, 4, -3, 0, -3, 0, 0, -6, -4, -10, 0, 16, 3, -4, -5, 0, 8, -14, -1, 0, 0, -7, 4, -11, -3, 0, 0, -2, -3, 3, 0, -16, 0, 0, -6, 0, -4, 8, -10, 3, 0, -4, 16, -6, 3, 0, -4, 21, -5, -14, 0, 12, 8, 1, -14, 0, -1, 18, 0, -18, 0, -25, -7, -1, 4, 0, -11, 10, -3, -25, 0, 0, 0, -2, -2, 0, -3, 23, 3, -1, 0, 6, -16, -30, 0, 0, 0, -1, -6, 0, 0, 14, -4, -3, 8, 0, -10, 0, 3, 30, 0, -16, -4, -14, 16, 0, -6, -18, 3, 32, 0, -7, -4, -22, 21, 0, -5, 7, -14, 31, 0, -26, 12, 0, 8, 0, 1, -31, -14, 10, 0, 16, -1, 3, 18, 0, 0, -56, -18, 14, 0, -28, -25, -29, -7, 0, -1, -42, 4, 0, 0, -12, -11, 14, 10, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [1, 0, 0], [-1, 1, 1], [1, 0, 0], [0, 0, 0], [-1, 1, 1], [0, -2, 2], [1, 0, 0], [3, -1, 0], [0, 0, 0], [0, -2, 1], [-1, 1, 1], [0, 0, 0], [0, -2, 2], [0, 0, 0], [1, 0, 0], [0, -4, 1], [3, -1, 0], [-2, 3, -2], [0, 0, 0], [-2, 4, -6], [0, -2, 1], [-2, 2, -4], [-1, 1, 1], [0, 0, 0], [0, 0, 0], [-3, 1, -2], [0, -2, 2], [-6, 4, -4], [0, 0, 0], [6, 0, 2], [1, 0, 0], [-4, 3, -5], [0, -4, 1], [0, 0, 0], [3, -1, 0], [-6, 2, -2], [-2, 3, -2], [0, 0, 0], [0, 0, 0], [-4, 1, -4], [-2, 4, -6], [-6, 5, -2], [0, -2, 1], [0, 0, 0], [-2, 2, -4], [-2, 0, -4], [-1, 1, 1], [-3, 4, -8], [0, 0, 0], [-10, 5, -9], [0, 0, 0], [2, -2, 4], [-3, 1, -2], [0, 0, 0], [0, -2, 2], [7, -7, 6], [-6, 4, -4], [1, 3, 3], [0, 0, 0], [4, -8, 8], [6, 0, 2], [2, -6, 6], [1, 0, 0], [0, 0, 0], [-4, 3, -5], [7, -3, -3], [0, -4, 1], [0, -8, 6], [0, 0, 0], [2, 2, -4], [3, -1, 0], [-3, 3, -7], [-6, 2, -2], [0, 0, 0], [-2, 3, -2], [4, 2, -4], [0, 0, 0], [-8, 0, -6], [0, 0, 0], [-7, -3, 1], [-4, 1, -4], [-2, 3, -2], [-2, 4, -6], [0, 0, 0], [-6, 5, -2], [10, -14, 6], [0, -2, 1], [-9, 5, 3], [0, 0, 0], [0, 0, 0], [-2, 2, -4], [-2, 8, 4], [-2, 0, -4], [0, 0, 0], [-1, 1, 1], [4, 8, -3], [-3, 4, -8], [3, -6, 4], [0, 0, 0]], 'ap': [[1, 0, 0], [-1, 1, 1], [0, 0, 0], [0, -2, 2], [0, -2, 1], [0, 0, 0], [0, -4, 1], [-2, 3, -2], [-2, 2, -4], [-6, 4, -4], [6, 0, 2], [-6, 2, -2], [-4, 1, -4], [-6, 5, -2], [-2, 0, -4], [2, -2, 4], [1, 3, 3], [4, -8, 8], [7, -3, -3], [2, 2, -4], [-3, 3, -7], [-8, 0, -6], [-2, 3, -2], [-9, 5, 3], [4, 8, -3], [6, -4, 8], [-8, -6, 0], [-6, 3, -14], [0, 2, 2], [5, -5, 13], [-2, -8, 4], [-2, 1, 2], [7, -11, 3], [16, -6, 11], [4, 4, 6], [8, -6, 2], [-20, 2, -2], [-8, 2, 7], [-14, 0, 0], [6, 0, 4], [12, -2, -3], [-8, 8, -6], [2, -2, 2], [0, -9, 0], [-6, 18, -12], [12, -6, -4], [-8, -6, -5], [-8, 0, -4], [3, -3, 13], [-16, 8, -8], [-7, -5, 5], [-4, 10, -12], [2, -4, 4], [-8, 10, 5], [4, 13, -4], [8, 0, 2], [12, 8, 0], [-14, 8, -18], [-8, 6, -4], [16, -4, 13], [-6, 11, 2], [-2, -2, 6], [0, 14, -1], [-4, 2, -4], [-8, -4, -3], [-14, 10, 6], [-8, -12, -4], [4, 5, -12], [-8, 8, 0], [10, -2, -6], [0, -8, 15], [18, 0, -2], [-8, -8, 4], [4, -4, -4], [17, -17, 23], [-20, 16, -16], [0, -10, 8], [-10, 10, -24], [-4, -4, -5], [13, -1, 5], [0, 0, 8], [-2, -2, 4], [22, -4, 0], [-1, -19, 15], [-22, 10, 6], [16, -22, 5], [-16, 1, -16], [-10, 8, 4], [-22, 14, -2], [20, -14, 10], [-15, -5, -5], [14, -4, 24], [6, -22, 4], [-7, 27, -9], [-20, 14, -17], [4, 10, 16], [-12, 2, 6], [5, 3, -11], [-4, 2, 1], [14, 8, 10], [1, 7, -9], [28, -24, 34], [-4, -8, 20], [-11, 15, -7], [-19, -13, -1], [-16, 21, -4], [14, -27, 10], [8, 4, -9], [18, -4, 18], [-20, 11, 8], [4, -4, 22], [-12, -10, 12], [-7, -9, 17], [-16, 16, -4], [14, -20, -2], [-24, -7, -4], [22, -5, 26], [-40, 12, -14], [-28, 26, -30], [-17, 1, 9], [-4, -4, 8], [3, 25, -9], [14, 8, -2], [18, 15, -6], [2, -11, -22], [-8, 30, -8], [26, -8, 6], [-2, -6, -2], [-14, 10, -6], [8, -12, -10], [29, -9, 11], [14, -8, 0], [-14, 8, 2], [-6, 2, -8], [-24, -4, -9], [4, -20, 15], [8, 2, -14], [4, -2, -19], [-30, 12, -22], [36, -7, 4], [-12, 10, -9], [-24, 4, 18], [-18, -2, -14], [-9, -7, 13], [-2, -16, 18], [22, -10, 0], [-12, 6, 6], [16, -12, 1], [-3, 19, -13], [32, -24, 14], [36, 4, -4], [20, -8, 17], [28, -22, 37], [24, -18, 26], [-17, 1, -7], [-4, -26, 12], [-10, 24, 0], [-40, 17, -36], [-20, 13, -16], [-32, -4, -2], [-22, 23, -18], [8, -9, -24], [18, 16, -16], [26, -3, -14], [-28, 15, -28], [36, -28, 36], [4, 18, -4], [-18, -2, 2], [-8, -3, -36], [-20, 0, 14], [-3, -13, 7], [2, 10, 24], [-10, 14, -28], [-44, 4, -13], [10, 10, -2], [7, -19, 3], [-4, 32, 0], [34, 18, -12], [-22, 2, 10], [-20, -6, -20], [12, -20, -16], [2, -39, 22], [36, -32, 38], [24, -20, 19], [20, 6, 0], [4, -34, -2], [4, 14, -14], [-13, 25, 5], [24, -32, 3], [38, -8, 34], [-24, 17, 4], [4, -14, -27], [18, 5, -10], [4, -26, 20], [29, -13, 23], [4, 9, 20], [-32, -8, 9], [-32, 22, -26], [-4, -11, -12], [-6, -18, 12], [-20, -28, 10], [-14, 48, -32], [40, -2, 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-14], [-14, -9, -10], [-20, -11, 0], [-34, 40, -32], [4, 1, -8], [-8, -8, 18], [22, 7, 6], [-30, 34, -32], [-48, 8, -7], [-27, 23, -9], [52, -20, 34], [4, -12, 40], [-4, 2, 18], [20, -44, 36], [4, -14, 3], [-52, 0, 0], [-28, -13, 0], [-2, -22, 18], [34, -6, 30], [15, 9, -9], [-20, 48, -32], [-4, 26, -25], [-2, 12, -36], [15, -27, 25], [20, 12, 24], [-50, 16, -48], [0, -12, -28], [22, -36, -6], [31, -23, 45], [-8, -38, 21], [-24, 12, -47], [10, -24, 12], [-34, 18, -44], [-14, 33, -18], [31, 9, 21], [0, -12, 13], [-6, 11, -2], [36, -2, -30], [-16, 16, -36], [36, -10, 40], [8, 28, -22], [28, -12, 10], [22, -44, 16], [35, -39, 13], [14, -8, -42], [-53, 17, -41], [16, -52, 32], [26, 6, 4], [-28, 13, -32], [52, -32, 45], [27, -7, 53], [16, -21, -24], [-56, 0, 2], [0, -10, -20], [16, 7, -4], [8, 32, -5], [-5, 53, -27], [16, -6, 31], [4, 60, -26], [-20, 46, -10], [38, -16, -4], [8, 30, 8], [4, -28, 38], [20, 4, 4], [28, -50, -9], [-48, 30, -59], [-48, 4, 4], [12, -43, 24], [0, 36, -35], [-18, -16, 28], [24, -2, 54], [-36, -5, 4], [-12, 10, -2], [70, -20, 28], [30, -6, 16], [26, -53, 6], [4, -8, 44], [-44, 0, 0], [54, -8, 20], [-24, 36, -22], [-5, -27, 17], [19, 25, -21], [32, 28, -4], [-28, 36, 12], [-48, -8, 10], [-8, 5, 8], [-22, 50, -38], [6, 21, -22], [4, 7, -24], [-22, -10, 12], [-28, -36, 0], [-38, 16, -24], [-28, 34, 26], [-18, 27, -2], [-4, -22, 27], [-20, 17, 8], [-66, 16, -26], [8, 26, -26], [-3, -13, -7], [3, 17, -23], [-53, 5, 21], [48, 0, 0], [56, 4, -2], [-44, -10, 0], [22, 28, 2], [-20, 8, 32], [50, 14, -18], [-8, -7, 20], [32, -23, 16], [-24, 3, 20], [30, -64, 20], [16, -24, 37], [76, -18, 26], [-68, 24, -9], [-30, 39, 18], [-18, 48, -46], [-62, 10, -2], [14, -30, 48], [-42, 5, 14], [-2, 4, -40], [44, -56, 29], [10, 10, 56], [-1, -11, 37], [22, -55, 18], [-18, 14, -12], [40, -48, -7], [42, -46, 56], [-4, 0, -5], [-10, 17, 26], [26, -40, -18], [10, 10, 36], [-13, 17, -33], [46, -34, 6], [11, 5, 31], [-68, 6, -20], [6, -54, 20], [-22, -2, 10], [24, -27, -4], [-17, -31, 17], [-21, 25, 37], [45, -29, 45], [18, -2, -6], [38, -31, 38], [-20, 10, 29], [-31, 59, -15], [-18, -34, 10], [8, -22, -28], [64, -2, 10], [-44, 8, 25], [-30, 0, -28], [16, -12, -16], [30, 0, 4], [-10, 50, -14], [-16, 4, 12], [23, 5, 47], [-40, -18, 20], [19, 1, -31], [36, -13, -32], [-8, 6, 3], [52, -40, 0]], 'char_orbit_index': 1, 'field_poly': [1, -2, -1, 1], 'hecke_orbit_code': 220676381774717186, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8450.2.a.bx', 'level': 8450, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 33, 34, 31, 35, 24, 27, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [20, 21, 21, 21, 21, 21, 21, 21], 'ALdims_old': [129, 134, 132, 123, 128, 133, 129, 128], 'Nk2': 33800, 'analytic_conductor': 67.47358970798193, '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': [8450, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 245, 'eis_dim': 167, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 31], 'hecke_orbit_code': 33562882, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '8450.2.a', 'level': 8450, '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': [2, 5, 13], 'level_radical': 130, 'mf_dim': 1448, 'mf_new_dim': 245, 'num_forms': 79, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 245, 'sturm_bound': 2730, 'trace_bound': 17, 'trace_display': [1, -2, 0, -8], 'traces': [245, 1, -2, 245, 0, -2, -8, 1, 245, 0, 2, -2, 0, 0, 0, 245, -10, 5, -2, 0, -16, -6, 8, -2, 0, 0, -8, -8, -8, 0, -20, 1, 20, 4, 0, 245, 2, -2, 0, 0, 8, -12, -10, 2, 0, -8, 0, -2, 225, 0, 70, 0, 28, -2, 0, 0, -8, 2, 36, 0, -16, 0, 0, 245, 0, 14, 0, -10, 72, 0, 24, 5, 2, 8, 0, -2, 36, 0, 0, 0, 317, 22, 24, -16, 0, -8, 28, -6, 28, 0, 0, 8, -32, 16, 0, -2, 6, -7, 40, 0, -4, 4, -52, 0, 0, 18, 38, -8, -14, 0, -20, -8, -18, 14, 0, -8, 0, -2, 28, 0, 313, -18, 32, -20, 0, 28, 108, 1, 108, 0, 46, 20, 68, 12, 0, 4, -18, 36, 124, 0, 36, -12, 0, 245, 0, 0, 138, 2, 18, 0, 28, -2, -6, 40, 0, 0, 84, -20, 32, 0, 12, 17, 16, 8, 0, 32, 24, -12, 0, 0, 24, -10, -70, 28, 0, 2, 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-460, -464, 0, 0, 0, -88, 64, 0, -38, -56, 112, -56, 0, -32, 46, -20, -692, 0, -236, -8, -232, 190, 0, -42, 52, 28, -232, 0, -230, -52, 0, -84, 0, -320, -376, 2, -134, 0, -18, -132, -96, 124, 0, 0, -18, 44, -80, 0, -130, 16, -16, 36, 0, 104, -48, 120, 0, 0, -176, -32, -24, -230, 0, -16, -32, 8, -324, 0, 309, 0, 164, -112, 0, -320, 16, -75, 66, 0, -384, 34, 116, -4, 0, -16, -66, 80, 18, 0, -150, 48, -80, 74, 0, -216, -52, 0, -392, 0, 120, 0, -36, 104, 0, -70, 88, 38, -204, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1392170
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '338.2.a.g', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392171
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '338.2.a.h', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1392172
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '338.2.b.d', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392173
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '338.2.c.h', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1392174
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '338.2.c.i', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1392175
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '338.2.e.e', 'target_level': 338, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1392176
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2704.2.a.v', 'target_level': 2704, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1392177
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '2704.2.a.w', 'target_level': 2704, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392178
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2704.2.f.m', 'target_level': 2704, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '260.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 1392179
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3042.2.a.z', 'target_level': 3042, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1392180
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '3042.2.a.bi', 'target_level': 3042, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1392181
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3042.2.b.n', 'target_level': 3042, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1392182
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '8450.2.a.bn', 'target_level': 8450, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392183
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': False, 'source_label': '8450.2.a.bx', 'source_level': 8450, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '8450.2.a.bx', 'target_level': 8450, 'twist_class_label': '338.2.a.g', 'twist_class_level': 338, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 4758175
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 220676381774717186, 'p': 2}
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id: 4758176
{'charpoly_factorization': [[[-13, -4, 3, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 3}
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id: 4758177
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774717186, 'p': 5}
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id: 4758178
{'charpoly_factorization': [[[-8, -4, 4, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 7}
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id: 4758179
{'charpoly_factorization': [[[-13, -4, 3, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 11}
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id: 4758180
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774717186, 'p': 13}
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id: 4758181
{'charpoly_factorization': [[[-97, -22, 5, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 17}
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id: 4758182
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 19}
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id: 4758183
{'charpoly_factorization': [[[-56, -28, 0, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 23}
-
id: 4758184
{'charpoly_factorization': [[[-104, -4, 10, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 29}
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id: 4758185
{'charpoly_factorization': [[[-104, 76, -16, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 31}
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id: 4758186
{'charpoly_factorization': [[[56, 56, 14, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 37}
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id: 4758187
{'charpoly_factorization': [[[-91, -14, 7, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 41}
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id: 4758188
{'charpoly_factorization': [[[-1, -4, 11, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 43}
-
id: 4758189
{'charpoly_factorization': [[[-8, -36, 2, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 47}
-
id: 4758190
{'charpoly_factorization': [[[56, -28, 0, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 53}
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id: 4758191
{'charpoly_factorization': [[[-127, -60, -3, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 59}
-
id: 4758192
{'charpoly_factorization': [[[-64, -144, 4, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 61}
-
id: 4758193
{'charpoly_factorization': [[[287, 84, -21, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 67}
-
id: 4758194
{'charpoly_factorization': [[[-8, 20, -12, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 71}
-
id: 4758195
{'charpoly_factorization': [[[-251, -86, -1, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 73}
-
id: 4758196
{'charpoly_factorization': [[[-232, 24, 18, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 79}
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id: 4758197
{'charpoly_factorization': [[[13, -16, 1, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 83}
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id: 4758198
{'charpoly_factorization': [[[-757, 94, 25, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 89}
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id: 4758199
{'charpoly_factorization': [[[883, 62, -23, 1], 1]], 'hecke_orbit_code': 220676381774717186, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '8450.2.a.bx', 'level': 8450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71545957
{'hecke_orbit_code': 220676381774717186, 'n': 1, 'trace_an': 3}
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id: 71545958
{'hecke_orbit_code': 220676381774717186, 'n': 2, 'trace_an': 3}
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id: 71545959
{'hecke_orbit_code': 220676381774717186, 'n': 3, 'trace_an': -3}
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id: 71545960
{'hecke_orbit_code': 220676381774717186, 'n': 4, 'trace_an': 3}
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