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mf_newforms • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 4, 'char_parity': 1, 'char_values': [720, 4, [271, 181, 641, 577], [2, 4, 4, 1]], 'cm_discs': [], 'conrey_index': 127, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [256, 0, 0, 0, 1]], [11, [32, 0, 1]], [13, [18, -6, 1]], [17, [2, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015979091002064, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 20, 5, 1, 4, 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': False, 'label': '720.2.x.e', 'level': 720, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '240.2.w.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\beta_{2}+2)q^{5}+\\beta_1 q^{7}+(-\\beta_{3}-\\beta_1)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '720.2.x', 'trace_display': [0, 0, 8, 0], 'trace_hash': 275555802552615379, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.700', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': '85.398', 'prec': 20}, {'__RealLiteral__': 0, 'data': '41.796', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2798.974', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.631', 'prec': 17}, 'traces': [4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 1, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [3, 0, 3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, -1, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [3, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 1], [0, 0, 0, 0], [5, 0, -5, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [0, -1, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, -2], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, 9, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [-3, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [16, 0, -16, 0], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [3, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 8, 0], [0, 0, 0, 0], [0, 3, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 0, 1], [0, 0, 0, 0], [-3, 0, 3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 1, 0], [0, 1, 0, 0], [0, -1, 0, -1], [3, 0, 3, 0], [1, 0, -1, 0], [0, -1, 0, 1], [0, 0, 0, 1], [0, 0, 4, 0], [0, 0, 0, 0], [5, 0, -5, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, -1, 0, 0], [-1, 0, -1, 0], [0, 2, 0, -2], [4, 0, 0, 0], [0, -1, 0, 0], [0, 1, 0, 1], [-3, 0, -3, 0], [0, -1, 0, 1], [0, 0, 0, 1], [0, 0, 8, 0], [-3, 0, 3, 0], [-18, 0, 0, 0], [0, 0, 0, 1], [0, -3, 0, 0], [0, 0, -10, 0], [-11, 0, -11, 0], [0, 3, 0, 0], [0, -1, 0, -1], [-5, 0, 5, 0], [0, 3, 0, -3], [0, 0, -18, 0], [0, -2, 0, -2], [11, 0, -11, 0], [0, 0, 0, -3], [0, 3, 0, 0], [-5, 0, -5, 0], [0, -4, 0, 4], [-18, 0, 0, 0], [0, 3, 0, 3], [-5, 0, -5, 0], [11, 0, -11, 0], [0, -3, 0, 3], [0, -4, 0, -4], [0, 0, 0, 3], [0, 7, 0, 0], [0, 0, -12, 0], [-15, 0, -15, 0], [0, -2, 0, 2], [8, 0, 0, 0], [0, -1, 0, -1], [21, 0, -21, 0], [0, 0, 0, 1], [0, 0, 6, 0], [0, -2, 0, -2], [3, 0, -3, 0], [-8, 0, 0, 0], [0, 0, 0, 5], [5, 0, 5, 0], [0, 1, 0, 0], [0, -1, 0, -1], [-9, 0, -9, 0], [-11, 0, 11, 0], [0, 4, 0, 4], [1, 0, -1, 0], [0, -1, 0, 0], [0, 0, 28, 0], [11, 0, 11, 0], [0, 2, 0, -2], [0, -3, 0, 0], [9, 0, 9, 0], [0, -3, 0, 3], [0, 0, 0, -5], [0, 0, 2, 0], [9, 0, -9, 0], [30, 0, 0, 0], [0, 0, -10, 0], [0, -2, 0, 2], [-4, 0, 0, 0], [0, 3, 0, 3], [21, 0, 21, 0], [0, -1, 0, 1], [0, 0, 0, -9], [0, 0, -2, 0], [-17, 0, 17, 0], [-10, 0, 0, 0], [0, 0, 0, -9], [0, 9, 0, 0], [0, 4, 0, -4], [0, 7, 0, 0], [0, 5, 0, 5], [0, -5, 0, 5], [0, 0, 0, 11], [0, 0, -20, 0], [10, 0, 0, 0], [0, 0, 0, -9], [-22, 0, 0, 0], [0, -3, 0, 0], [-17, 0, 17, 0], [0, 0, 0, -3], [0, 0, 22, 0], [0, 2, 0, 2], [23, 0, -23, 0], [0, -5, 0, 0], [-21, 0, -21, 0], [0, 2, 0, -2], [0, 0, 0, 0], [0, 3, 0, 0], [3, 0, 3, 0], [-23, 0, 23, 0], [0, -7, 0, 7], [0, 4, 0, 4], [48, 0, 0, 0], [0, 0, 0, 7], [0, -3, 0, 0], [23, 0, 23, 0], [0, -2, 0, 2], [-28, 0, 0, 0], [-35, 0, -35, 0], [-5, 0, 5, 0], [0, 0, 0, 3], [0, 4, 0, 4], [28, 0, 0, 0], [0, 0, 28, 0], [0, -2, 0, 2], [0, 11, 0, 0], [17, 0, 17, 0], [0, 5, 0, -5], [0, 0, 0, -9], [0, 6, 0, 6], [-5, 0, 5, 0], [6, 0, 0, 0], [0, 0, -8, 0], [17, 0, 17, 0], [0, 5, 0, 0], [-27, 0, 27, 0], [0, 0, -32, 0], [0, -6, 0, -6], [-52, 0, 0, 0], [0, 0, 0, -7], [0, 1, 0, 0], [0, 0, -38, 0], [0, -2, 0, 2], [-21, 0, -21, 0], [-5, 0, 5, 0], [0, -7, 0, 7], [0, 0, 0, 7], [-29, 0, 29, 0], [-24, 0, 0, 0], [0, 0, 0, 13], [0, 9, 0, 0], [0, 11, 0, 0], [0, 7, 0, 7], [0, 3, 0, -3], [0, 0, -30, 0], [-5, 0, 5, 0], [42, 0, 0, 0], [0, 7, 0, 0], [5, 0, 5, 0], [0, 1, 0, 0], [0, 3, 0, 3], [-25, 0, 25, 0], [0, 0, 0, -9], [0, -6, 0, -6], [7, 0, -7, 0]], 'char_orbit_index': 24, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 18015979091002064, 'hecke_ring_character_values': [[271, [-1, 0, 0, 0]], [181, [1, 0, 0, 0]], [641, [1, 0, 0, 0]], [577, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 1, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 4, 0, 0], [0, 0, 1, 0], [0, 0, 0, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '720.2.x.e', 'level': 720, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2880, 'analytic_conductor': 5.749228945532187, 'char_conductor': 20, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 4, 'char_parity': 1, 'char_values': [720, 4, [271, 181, 641, 577], [2, 4, 4, 1]], 'conrey_index': 127, 'cusp_dim': 240, 'dim': 30, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 1580581520080, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 8, 8], 'label': '720.2.x', 'level': 720, '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, 3, 5], 'level_radical': 30, 'mf_dim': 336, 'mf_new_dim': 30, 'num_forms': 7, 'prim_orbit_index': 5, 'relative_dim': 15, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -174, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 198, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, -246, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -138, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 330, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, 0, -234, 0, 0, 0, -174, 0, 0, 0, 0, 0, 0, 0, -174, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, -174, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -270, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 408, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -222, 0, 0, 0, 276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 465072
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '240.2.w.a', 'target_level': 240, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 465073
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '240.2.w.a', 'target_level': 240, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 465074
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '240.2.w.a', 'target_level': 240, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 465075
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '240.2.w.a', 'target_level': 240, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 465076
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.2.x.e', 'target_level': 720, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 465077
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.2.x.e', 'target_level': 720, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 465078
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.2.x.e', 'target_level': 720, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 465079
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '720.2.x.e', 'target_level': 720, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 465080
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '960.2.w.c', 'target_level': 960, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 465081
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '960.2.w.c', 'target_level': 960, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 465082
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '960.2.w.c', 'target_level': 960, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 465083
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '960.2.w.c', 'target_level': 960, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 465084
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.w.a', 'target_level': 1200, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 465085
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.w.a', 'target_level': 1200, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 465086
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.w.a', 'target_level': 1200, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 465087
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1200.2.w.a', 'target_level': 1200, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 465088
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3600.2.x.d', 'target_level': 3600, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 465089
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3600.2.x.d', 'target_level': 3600, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 465090
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3600.2.x.d', 'target_level': 3600, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 465091
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '720.2.x.e', 'source_level': 720, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3600.2.x.d', 'target_level': 3600, 'twist_class_label': '240.2.w.a', 'twist_class_level': 240, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1243000
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015979091002064, 'p': 2}
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id: 1243001
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015979091002064, 'p': 3}
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id: 1243002
{'charpoly_factorization': [[[5, -4, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 5}
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id: 1243003
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 7}
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id: 1243004
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 11}
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id: 1243005
{'charpoly_factorization': [[[18, -6, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 13}
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id: 1243006
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 17}
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id: 1243007
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 19}
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id: 1243008
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 23}
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id: 1243009
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 29}
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id: 1243010
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015979091002064, 'p': 31}
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id: 1243011
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 37}
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id: 1243012
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18015979091002064, 'p': 41}
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id: 1243013
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 43}
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id: 1243014
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 47}
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id: 1243015
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 53}
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id: 1243016
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 59}
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id: 1243017
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 18015979091002064, 'p': 61}
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id: 1243018
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 67}
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id: 1243019
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 71}
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id: 1243020
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 73}
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id: 1243021
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 79}
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id: 1243022
{'charpoly_factorization': [[[256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 18015979091002064, 'p': 83}
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id: 1243023
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 89}
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id: 1243024
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 18015979091002064, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 24, 'hecke_orbit': 5, 'label': '720.2.x.e', 'level': 720, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41614345
{'hecke_orbit_code': 18015979091002064, 'n': 1, 'trace_an': 4}
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id: 41614346
{'hecke_orbit_code': 18015979091002064, 'n': 2, 'trace_an': 0}
-
id: 41614347
{'hecke_orbit_code': 18015979091002064, 'n': 3, 'trace_an': 0}
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id: 41614348
{'hecke_orbit_code': 18015979091002064, 'n': 4, 'trace_an': 0}
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id: 41614349
{'hecke_orbit_code': 18015979091002064, 'n': 5, 'trace_an': 8}
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id: 41614350
{'hecke_orbit_code': 18015979091002064, 'n': 6, 'trace_an': 0}
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id: 41614351
{'hecke_orbit_code': 18015979091002064, 'n': 7, 'trace_an': 0}
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id: 41614352
{'hecke_orbit_code': 18015979091002064, 'n': 8, 'trace_an': 0}
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id: 41614353
{'hecke_orbit_code': 18015979091002064, 'n': 9, 'trace_an': 0}
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id: 41614354
{'hecke_orbit_code': 18015979091002064, 'n': 10, 'trace_an': 0}
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id: 41614355
{'hecke_orbit_code': 18015979091002064, 'n': 11, 'trace_an': 0}
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id: 41614356
{'hecke_orbit_code': 18015979091002064, 'n': 12, 'trace_an': 0}
-
id: 41614357
{'hecke_orbit_code': 18015979091002064, 'n': 13, 'trace_an': 12}
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id: 41614358
{'hecke_orbit_code': 18015979091002064, 'n': 14, 'trace_an': 0}
-
id: 41614359
{'hecke_orbit_code': 18015979091002064, 'n': 15, 'trace_an': 0}
-
id: 41614360
{'hecke_orbit_code': 18015979091002064, 'n': 16, 'trace_an': 0}
-
id: 41614361
{'hecke_orbit_code': 18015979091002064, 'n': 17, 'trace_an': 4}
-
id: 41614362
{'hecke_orbit_code': 18015979091002064, 'n': 18, 'trace_an': 0}
-
id: 41614363
{'hecke_orbit_code': 18015979091002064, 'n': 19, 'trace_an': 0}
-
id: 41614364
{'hecke_orbit_code': 18015979091002064, 'n': 20, 'trace_an': 0}
-
id: 41614365
{'hecke_orbit_code': 18015979091002064, 'n': 21, 'trace_an': 0}
-
id: 41614366
{'hecke_orbit_code': 18015979091002064, 'n': 22, 'trace_an': 0}
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id: 41614367
{'hecke_orbit_code': 18015979091002064, 'n': 23, 'trace_an': 0}
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