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mf_newforms • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 104, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 27, 'char_orbit_label': 'ba', 'char_order': 6, 'char_parity': 1, 'char_values': [832, 6, [703, 261, 769], [6, 3, 1]], 'cm_discs': [], 'conrey_index': 225, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, -12, 14, -6, 1]], [5, [-3, 0, 1]], [23, [36, -36, 30, -6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18016185249432384, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 104, 19, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '832.2.ba.e', 'level': 832, '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, 13], 'level_radical': 26, 'minimal_twist': '832.2.ba.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 19, 'qexp_display': 'q+(2-\\zeta_{12}-\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{3}+(-2\\zeta_{12}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '832.2.ba', 'trace_display': [0, 6, 0, 0], 'trace_hash': 1750140560879080096, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.757', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.107', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [2, -1, -1, 1], [0, 0, 0, 0], [0, -2, 0, 1], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [1, -2, -1, 4], [0, 0, 0, 0], [0, 2, 0, 2], [0, 0, 0, 0], [0, 3, -2, -3], [0, 0, 0, 0], [2, -3, -1, 3], [0, 0, 0, 0], [-3, -2, 3, 4], [0, 0, 0, 0], [3, -1, -3, 2], [0, 0, 0, 0], [2, -4, 0, 2], [0, 0, 0, 0], [0, -1, 3, -1], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [-4, -3, 2, 3], [0, 0, 0, 0], [-3, 0, 6, 5], [0, 0, 0, 0], [-2, 6, -2, 0], [0, 0, 0, 0], [2, 0, 2, 0], [0, 0, 0, 0], [0, -3, 4, -3], [0, 0, 0, 0], [-5, 5, 1, -6], [0, 0, 0, 0], [-6, 0, 3, 0], [0, 0, 0, 0], [6, -2, 6, 0], [0, 0, 0, 0], [6, -1, -6, 2], [0, 0, 0, 0], [-5, 0, 10, -3], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [-1, 0, 2, 3], [0, 0, 0, 0], [2, 0, -4, 9], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [4, 0, -8, 6], [0, 0, 0, 0], [6, 4, -6, -8], [0, 0, 0, 0], [-6, 3, -6, 0], [0, 0, 0, 0], [8, -2, -4, 2], [0, 0, 0, 0], [-6, 2, 3, 2], [0, 0, 0, 0], [0, -3, 3, -3], [0, 0, 0, 0], [4, -6, 4, 0], [0, 0, 0, 0], [-5, 3, -5, 0], [0, 0, 0, 0], [-3, 0, 6, 0], [0, 0, 0, 0], [-4, 2, 2, -2], [0, 0, 0, 0], [4, 0, -8, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [0, -2, -1, -2], [0, 0, 0, 0], [6, 4, 0, -2], [0, 0, 0, 0], [6, 3, -6, -6], [0, 0, 0, 0], [-3, -1, 3, 2], [0, 0, 0, 0], [-4, 12, 2, -12], [0, 0, 0, 0], [-6, 0, 0, 4], [0, 0, 0, 0], [0, 2, 4, 2], [0, 0, 0, 0], [3, -3, -3, 6], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [-12, 4, 0, -2], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [2, -1, -1, 1], [0, -2, 0, 1], [0, -2, 0, 0], [0, 2, 0, 2], [0, 3, -2, -3], [-3, -2, 3, 4], [3, -1, -3, 2], [0, -1, 3, -1], [-4, -3, 2, 3], [-3, 0, 6, 5], [0, -3, 4, -3], [-6, 0, 3, 0], [6, -2, 6, 0], [-5, 0, 10, -3], [2, 0, -4, 9], [6, 4, -6, -8], [-6, 3, -6, 0], [0, -3, 3, -3], [-5, 3, -5, 0], [-3, 0, 6, 0], [6, 0, 0, 0], [6, 4, 0, -2], [-4, 12, 2, -12], [0, -6, 0, 0], [-8, 3, 4, -3], [-15, -2, 0, 1], [6, -9, -3, 9], [-2, 0, 0, 0], [3, 0, -3, 0], [0, 5, 3, 5], [7, 0, -14, 9], [7, 6, 7, 0], [-6, -10, -6, 0], [0, -3, 0, 6], [3, 0, -6, -17], [-10, 0, 20, 3], [-6, 2, 6, -4], [12, 0, -6, 0], [0, -12, 0, 0], [-16, 0, 8, 0], [4, 0, -8, 3], [-3, -11, 3, 22], [-10, 6, 5, -6], [0, -2, 0, -2], [9, 9, -9, -18], [-6, 1, 3, -1], [-6, 7, 3, -7], [15, 3, -15, -6], [-2, 24, 0, -12], [-12, 16, 0, -8], [-4, 0, 8, 6], [7, -6, 7, 0], [3, 3, 3, 0], [0, 8, 3, 8], [0, 14, 6, 14], [-2, -6, -2, 0], [24, 2, -12, -2], [12, 3, 12, 0], [-1, 0, 2, 18], [12, -4, -6, 4], [30, -1, -30, 2], [3, 10, 0, -5], [9, -2, 0, 1], [-22, -12, 0, 6], [-30, -6, 0, 3], [0, -12, 0, 24], [11, -12, 0, 6], [-1, 27, -1, 0], [0, 6, 20, 6], [-22, 12, 11, -12], [0, 0, 0, 0], [0, -3, -3, -3], [-10, -9, -10, 0], [0, 9, 9, 9], [8, -12, 8, 0], [6, 0, -12, 9], [16, 6, -16, -12], [2, -36, -1, 36], [13, -6, 13, 0], [10, -3, -5, 3], [8, -18, 0, 9], [-16, -12, 8, 12], [-5, -12, 5, 24], [0, 2, 18, 2], [-4, 0, 8, 12], [6, 12, 6, 0], [2, -30, -1, 30], [6, 5, -6, -10], [-6, 0, 12, -10], [12, 0, -24, 6], [-22, 9, 11, -9], [6, 2, 6, 0], [20, 18, -10, -18], [-15, -6, 0, 3], [0, -16, 0, 32], [0, 15, 6, 15], [9, 4, 0, -2], [12, 8, -6, -8], [8, 6, 0, -3], [-15, 0, 30, 13], [0, 1, -36, 1], [-2, 12, -2, 0], [0, -8, -12, -8], [0, 0, 0, -22], [-5, 0, 10, -36], [0, 10, 6, 10], [-13, 0, 26, -6], [39, 6, 0, -3], [0, 12, -13, 12], [21, -5, -21, 10], [0, 3, 4, 3], [-15, 0, -15, 0], [-30, -16, 0, 8], [-12, 8, -12, 0], [21, 0, -21, 0], [-12, 14, 12, -28], [0, 13, 9, 13], [-24, 12, 12, -12], [-12, -24, -12, 0], [0, 21, 14, 21], [0, 12, -25, 12], [-24, 0, 48, -6], [15, 13, -15, -26], [0, -14, 0, -14], [0, 0, 0, 12], [22, 9, -22, -18], [0, 2, 0, -4], [6, -40, 0, 20], [-10, 30, 0, -15], [0, 0, -48, 0], [52, -6, -26, 6], [0, 10, -18, 10], [4, 6, -2, -6], [14, 0, 14, 0], [4, 12, -2, -12], [0, 8, 0, -16], [27, -3, -27, 6], [2, 30, 2, 0], [0, -4, -15, -4], [-3, -2, 0, 1], [0, -8, -18, -8], [-12, 2, 12, -4], [-12, 20, 0, -10], [-36, 9, 18, -9], [3, 3, 3, 0], [-20, 6, 0, -3], [9, 12, 0, -6], [3, 0, -6, -23], [-8, 0, 16, -18], [10, 9, -10, -18], [0, -10, -15, -10], [3, 0, -6, 35], [0, 16, 18, 16], [12, 10, -6, -10], [-12, -4, 0, 2], [15, -3, -15, 6], [1, -36, 1, 0], [11, 24, 0, -12], [0, -32, 0, 16], [0, -13, 15, -13], [-18, -4, 18, 8], [-15, 0, 30, -1], [13, 3, 13, 0], [-14, 30, 7, -30], [5, 0, -10, 9], [0, 11, 33, 11], [-4, -9, -4, 0]], 'char_orbit_index': 27, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 18016185249432384, 'hecke_ring_character_values': [[703, [1, 0, 0, 0]], [261, [-1, 0, 0, 0]], [769, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '832.2.ba.e', 'level': 832, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'char_conductor': 104, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 27, 'char_orbit_label': 'ba', 'char_order': 6, 'char_parity': 1, 'char_values': [832, 6, [703, 261, 769], [6, 3, 1]], 'conrey_index': 225, 'cusp_dim': 200, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 23], 'hecke_orbit_code': 1786739950400, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 12, 12], 'label': '832.2.ba', 'level': 832, '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, 13], 'level_radical': 26, 'mf_dim': 248, 'mf_new_dim': 56, 'num_forms': 9, 'prim_orbit_index': 19, 'relative_dim': 28, 'sturm_bound': 224, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 372, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -728, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 472, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 524420
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '832.2.ba.a', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 524421
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '832.2.ba.a', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '104.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 524422
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '832.2.ba.b', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 524423
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '832.2.ba.b', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 524424
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '832.2.ba.e', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 524425
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '832.2.ba.e', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '104.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 524426
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '832.2.ba.f', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 524427
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 27, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '832.2.ba.e', 'source_level': 832, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '832.2.ba.f', 'target_level': 832, 'twist_class_label': '832.2.ba.a', 'twist_class_level': 832, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1384550
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18016185249432384, 'p': 2}
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id: 1384551
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 3}
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id: 1384552
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 18016185249432384, 'p': 5}
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id: 1384553
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 7}
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id: 1384554
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 11}
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id: 1384555
{'charpoly_factorization': [[[169, 52, 3, 4, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 13}
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id: 1384556
{'charpoly_factorization': [[[9, -18, 39, 6, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 17}
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id: 1384557
{'charpoly_factorization': [[[36, -36, 30, -6, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 19}
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id: 1384558
{'charpoly_factorization': [[[36, -36, 30, -6, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 23}
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id: 1384559
{'charpoly_factorization': [[[9, 36, 51, 12, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 29}
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id: 1384560
{'charpoly_factorization': [[[4, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 31}
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id: 1384561
{'charpoly_factorization': [[[121, 88, 75, -8, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 37}
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id: 1384562
{'charpoly_factorization': [[[27, 9, 1], 2]], 'hecke_orbit_code': 18016185249432384, 'p': 41}
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id: 1384563
{'charpoly_factorization': [[[10816, -3744, 536, -36, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 43}
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id: 1384564
{'charpoly_factorization': [[[4356, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 47}
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id: 1384565
{'charpoly_factorization': [[[4761, 0, 186, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 53}
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id: 1384566
{'charpoly_factorization': [[[144, 144, 156, -12, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 59}
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id: 1384567
{'charpoly_factorization': [[[9801, 3564, 531, 36, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 61}
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id: 1384568
{'charpoly_factorization': [[[324, 108, 54, -6, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 67}
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id: 1384569
{'charpoly_factorization': [[[4356, 1980, 366, 30, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 71}
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id: 1384570
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 18016185249432384, 'p': 73}
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id: 1384571
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 18016185249432384, 'p': 79}
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id: 1384572
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 18016185249432384, 'p': 83}
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id: 1384573
{'charpoly_factorization': [[[17424, -1584, -84, 12, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 89}
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id: 1384574
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 18016185249432384, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 27, 'hecke_orbit': 5, 'label': '832.2.ba.e', 'level': 832, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 41640145
{'hecke_orbit_code': 18016185249432384, 'n': 1, 'trace_an': 4}
-
id: 41640146
{'hecke_orbit_code': 18016185249432384, 'n': 2, 'trace_an': 0}
-
id: 41640147
{'hecke_orbit_code': 18016185249432384, 'n': 3, 'trace_an': 6}
-
id: 41640148
{'hecke_orbit_code': 18016185249432384, 'n': 4, 'trace_an': 0}
-
id: 41640149
{'hecke_orbit_code': 18016185249432384, 'n': 5, 'trace_an': 0}
-
id: 41640150
{'hecke_orbit_code': 18016185249432384, 'n': 6, 'trace_an': 0}
-
id: 41640151
{'hecke_orbit_code': 18016185249432384, 'n': 7, 'trace_an': 0}
-
id: 41640152
{'hecke_orbit_code': 18016185249432384, 'n': 8, 'trace_an': 0}
-
id: 41640153
{'hecke_orbit_code': 18016185249432384, 'n': 9, 'trace_an': 2}
-
id: 41640154
{'hecke_orbit_code': 18016185249432384, 'n': 10, 'trace_an': 0}
-
id: 41640155
{'hecke_orbit_code': 18016185249432384, 'n': 11, 'trace_an': 0}
-
id: 41640156
{'hecke_orbit_code': 18016185249432384, 'n': 12, 'trace_an': 0}
-
id: 41640157
{'hecke_orbit_code': 18016185249432384, 'n': 13, 'trace_an': -4}
-
id: 41640158
{'hecke_orbit_code': 18016185249432384, 'n': 14, 'trace_an': 0}
-
id: 41640159
{'hecke_orbit_code': 18016185249432384, 'n': 15, 'trace_an': 6}
-
id: 41640160
{'hecke_orbit_code': 18016185249432384, 'n': 16, 'trace_an': 0}
-
id: 41640161
{'hecke_orbit_code': 18016185249432384, 'n': 17, 'trace_an': -6}
-
id: 41640162
{'hecke_orbit_code': 18016185249432384, 'n': 18, 'trace_an': 0}
-
id: 41640163
{'hecke_orbit_code': 18016185249432384, 'n': 19, 'trace_an': 6}
-
id: 41640164
{'hecke_orbit_code': 18016185249432384, 'n': 20, 'trace_an': 0}
-
id: 41640165
{'hecke_orbit_code': 18016185249432384, 'n': 21, 'trace_an': 8}
-
id: 41640166
{'hecke_orbit_code': 18016185249432384, 'n': 22, 'trace_an': 0}
-
id: 41640167
{'hecke_orbit_code': 18016185249432384, 'n': 23, 'trace_an': 6}
-
id: 41640168
{'hecke_orbit_code': 18016185249432384, 'n': 24, 'trace_an': 0}
-
id: 41640169
{'hecke_orbit_code': 18016185249432384, 'n': 25, 'trace_an': -8}
-
id: 41640170
{'hecke_orbit_code': 18016185249432384, 'n': 26, 'trace_an': 0}
-
id: 41640171
{'hecke_orbit_code': 18016185249432384, 'n': 27, 'trace_an': 0}
-
id: 41640172
{'hecke_orbit_code': 18016185249432384, 'n': 28, 'trace_an': 0}
-
id: 41640173
{'hecke_orbit_code': 18016185249432384, 'n': 29, 'trace_an': -12}
-
id: 41640174
{'hecke_orbit_code': 18016185249432384, 'n': 30, 'trace_an': 0}
-
id: 41640175
{'hecke_orbit_code': 18016185249432384, 'n': 31, 'trace_an': 0}
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id: 41640176
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