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mf_newforms • Show schema
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{'Nk2': 560, 'analytic_conductor': 1.1179056282979254, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [140, 6, [71, 57, 101], [6, 3, 2]], 'cm_discs': [], 'conrey_index': 9, 'conrey_indexes': [9, 109], 'dim': 4, 'field_disc': 3249, 'field_disc_factorization': [[3, 2], [19, 2]], 'field_poly': [25, -5, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [3, 3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1099545182348, 'hecke_ring_generator_nbound': 5, '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, 35, 10, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '140.2.q.a', 'level': 140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '140.2.q.a', 'nf_label': '4.0.3249.1', 'prim_orbit_index': 10, 'qexp_display': 'q+(-1-\\beta _{2})q^{3}+\\beta _{1}q^{5}+(-\\beta _{2}+\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '140.2.q', 'trace_display': [0, -6, 1, -3], 'trace_hash': 81710850993586281, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.495', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.771', 'prec': 20}, {'__RealLiteral__': 0, 'data': '15.014', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -1, -1, 2], [0, 0, 0, 0], [0, 2, -2, -2], [0, 0, 0, 0], [0, -2, 0, 1], [0, 0, 0, 0], [2, -1, 1, 0], [0, 0, 0, 0], [-1, 2, 0, -1], [0, 0, 0, 0], [-1, -1, 2, -1], [0, 0, 0, 0], [-4, 0, 1, -2], [0, 0, 0, 0], [0, 0, 5, 1], [0, 0, 0, 0], [-3, 0, 6, 0], [0, 0, 0, 0], [0, -1, -1, -1], [0, 0, 0, 0], [0, 1, -1, -2], [0, 0, 0, 0], [-3, 0, 0, -3], [0, 0, 0, 0], [5, -2, 0, 2], [0, 0, 0, 0], [9, 0, -4, 1], [0, 0, 0, 0], [-2, -2, 4, 4], [0, 0, 0, 0], [-8, 1, 1, 1], [0, 0, 0, 0], [2, 1, -5, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 2, -1], [0, 0, 0, 0], [4, -3, -4, 0], [0, 0, 0, 0], [-1, 2, -4, -1], [0, 0, 0, 0], [-2, 3, 1, 0], [0, 0, 0, 0], [10, -1, -5, 2], [0, 0, 0, 0], [1, -3, 1, 3], [0, 0, 0, 0], [0, 1, -1, -2], [0, 0, 0, 0], [-2, 4, 7, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 10, 2], [0, 0, 0, 0], [-5, 4, -1, 0], [0, 0, 0, 0], [5, 2, 2, 2], [0, 0, 0, 0], [4, -2, -2, -2], [0, 0, 0, 0], [-2, -1, -3, 0], [0, 0, 0, 0], [5, -1, -10, -1], [0, 0, 0, 0], [4, -3, -11, 0], [0, 0, 0, 0], [-1, 2, 4, -1], [0, 0, 0, 0], [9, 0, -9, 0], [0, 0, 0, 0], [2, -3, -1, 3], [0, 0, 0, 0], [0, 3, -5, -2], [0, 0, 0, 0], [-1, 3, 2, 0], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 0], [-2, -2, 12, 4], [0, 0, 0, 0], [-1, 0, 2, 3], [0, 0, 0, 0], [-5, 0, 10, 1], [0, 0, 0, 0], [-4, 0, 8, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-1, 0, -1, 0], [0, 1, 0, 0], [0, 0, -1, 1], [2, -1, -1, 2], [0, 2, -2, -2], [2, -1, 1, 0], [-1, 2, 0, -1], [-4, 0, 1, -2], [0, -1, -1, -1], [0, 1, -1, -2], [9, 0, -4, 1], [-8, 1, 1, 1], [2, 1, -5, -1], [-5, 0, 2, -1], [-2, 3, 1, 0], [0, 1, -1, -2], [-2, 4, 7, -2], [-5, 4, -1, 0], [4, -2, -2, -2], [-2, -1, -3, 0], [-1, 2, 4, -1], [2, -3, -1, 3], [0, 0, -7, 0], [-4, 0, 8, 0], [7, -2, -5, 4], [8, 0, -3, 2], [6, 0, -5, -4], [-5, 2, 3, -4], [-4, -2, 10, 2], [-6, 4, 8, -4], [1, -2, 14, 1], [0, -7, -7, 0], [4, -4, -4, -4], [2, -4, -1, 2], [16, 1, -17, -2], [4, -3, 1, 0], [-1, 0, 2, 3], [2, 3, -7, -3], [1, 0, 4, 9], [-4, 1, 3, -2], [-20, -1, -1, -1], [-3, 6, -10, -3], [0, -7, -7, 0], [8, 4, -20, -4], [14, -1, -13, 2], [0, 6, 6, 6], [2, -4, 0, 4], [-6, -3, -9, 0], [-1, 2, 0, -1], [19, 0, -10, -1], [8, -2, -2, -2], [0, 3, -3, -6], [-12, -2, -2, -2], [21, 0, -12, -3], [-11, 6, -5, 0], [-21, -2, 23, 4], [3, -6, 0, 3], [10, -1, 9, 0], [6, 0, 0, 0], [6, -7, -1, 0], [-4, 0, 8, 0], [10, -7, -13, 7], [0, -3, 3, 6], [-11, 0, 0, -11], [-17, 0, 6, -5], [3, -6, -8, 3], [-4, -2, 10, 2], [7, 0, 7, 0], [8, -1, -1, -1], [-10, 3, -7, 0], [-5, 10, 20, -5], [-7, 2, -5, 0], [9, 0, -4, 1], [-4, 6, 6, 6], [8, 0, -7, -6], [16, -5, -11, 10], [-15, 0, 8, 1], [0, 0, -3, 0], [-7, 4, 3, -8], [-4, 4, 4, 4], [0, -1, -1, -1], [2, -5, 3, 10], [12, 2, -26, -2], [-3, 6, 14, -3], [-14, 0, 7, 0], [16, -3, -3, -3], [-11, 0, 8, 5], [-14, 0, 0, 0], [-2, -1, 5, 1], [2, 0, -5, -8], [0, -3, 3, 6], [14, -7, 7, 0], [-20, -2, -2, -2], [5, -10, 18, 5], [-10, 11, 9, -11], [-2, 4, -21, -2], [0, 3, -3, -6], [11, 0, -6, -1], [-2, 4, 11, -2], [-2, 13, -9, -13], [4, 1, 5, 0], [-1, 8, 7, 0], [-5, 10, -8, -5], [-4, 1, 3, -2], [-4, 1, -3, 0], [6, -8, -4, 8], [31, 0, -14, 3], [2, -1, -1, 2], [14, 0, 0, 0], [12, 0, -11, -10], [-10, 15, 5, 0], [-12, 8, 16, -8], [14, 7, -21, -14], [16, 4, 4, 4], [-11, -4, 15, 8], [6, -16, 4, 16], [5, 6, 11, 0], [-5, 0, 10, 15], [32, 2, 2, 2], [7, 2, -9, -4], [12, -8, -16, 8], [-41, 0, 18, -5], [3, -8, -5, 0], [5, -10, -14, 5], [-4, 3, 3, 3], [-2, 4, -17, -2], [5, -10, -14, 5], [-2, -5, 9, 5], [41, 0, -20, 1], [2, 7, -9, -14], [6, 3, -15, -3], [1, -2, 18, 1], [16, -6, -26, 6], [7, -14, 0, 7], [14, 0, 0, 0], [18, 3, 21, 0], [-1, 0, -1, 0], [-24, 4, 44, -4], [9, 8, -17, -16], [16, -2, -2, -2], [-5, 10, 4, -5], [5, -18, -13, 0], [-14, -7, 35, 7], [-28, 7, 21, -14], [-24, -4, -4, -4], [0, 10, -10, -10], [20, 1, 21, 0], [5, -10, 14, 5], [-24, 0, 13, 2], [39, 0, -22, -5], [4, -11, -11, -11], [-26, 8, 44, -8], [0, 0, 9, 18], [11, -20, -9, 0], [-8, -4, -4, -4], [7, -14, -24, 7], [4, -8, -35, 4], [8, -8, -8, 8], [0, -1, 1, 2], [-18, 0, 15, 12], [-4, 12, -4, -12], [-2, -1, 5, 1], [-7, 14, 14, -7], [-12, -3, -15, 0], [-23, -2, -25, 0], [-4, 9, -5, -18], [2, -1, 1, 0]], 'char_orbit_index': 17, 'field_poly': [25, -5, -4, -1, 1], 'hecke_orbit_code': 1099545182348, 'hecke_ring_character_values': [[71, [1, 0, 0, 0]], [57, [-1, 0, 0, 0]], [101, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 20, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 5, 1], [5, 4, 0, -4]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-5, -4, 4, 1], [5, 4, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '140.2.q.a', 'level': 140, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 560, 'analytic_conductor': 1.1179056282979254, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': 1, 'char_values': [140, 6, [71, 57, 101], [6, 3, 2]], 'conrey_index': 9, 'cusp_dim': 36, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1099545182348, 'hecke_orbit_dims': [4, 4], 'label': '140.2.q', 'level': 140, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 60, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 10, 'relative_dim': 4, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [0, 0, -1, 0], 'traces': [8, 0, 0, 0, -1, 0, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 0, -9, 0, 0, 0, -4, 0, 2, 0, 0, 0, 5, 0, 0, 0, -12, 0, -60, 0, 0, 0, 0, 0, 0, 0, 10, 0, -18, 0, 0, 0, 54, 0, 0, 0, 2, 0, 24, 0, 0, 0, 16, 0, 0, 0, 48, 0, 24, 0, 0, 0, -27, 0, 0, 0, 14, 0, 36, 0, 0, 0, -10, 0, 0, 0, -28, 0, 20, 0, 0, 0, -29, 0, 0, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, -16, 0, -108, 0, 0, 0, -25, 0, 0, 0, -38, 0, -22, 0, 0, 0, 56, 0, 0, 0, -30, 0, 58, 0, 0, 0, 9, 0, 0, 0, 16, 0, 60, 0, 0, 0, -28, 0, 0, 0, 0, 0, 66, 0, 0, 0, -58, 0, 0, 0, 6, 0, -2, 0, 0, 0, -33, 0, 0, 0, -72, 0, 0, 0, 0, 0, 19, 0, 0, 0, -14, 0, -164, 0, 0, 0, 23, 0, 0, 0, 54, 0, -46, 0, 0, 0, 120, 0, 0, 0, 54, 0, 36, 0, 0, 0, 36, 0, 0, 0, 108, 0, 24, 0, 0, 0, 2, 0, 0, 0, 30, 0, 56, 0, 0, 0, 0, 0, 0, 0, -2, 0, -30, 0, 0, 0, -17, 0, 0, 0, 56, 0, 6, 0, 0, 0, -5, 0, 0, 0, -6, 0, -104, 0, 0, 0, -33, 0, 0, 0, -62, 0, 0, 0, 0, 0, 54, 0, 0, 0, -88, 0, 6, 0, 0, 0, -15, 0, 0, 0, 0, 0, 48, 0, 0, 0, -27, 0, 0, 0, -22, 0, 48, 0, 0, 0, -58, 0, 0, 0, -52, 0, -26, 0, 0, 0, -51, 0, 0, 0, -96, 0, -6, 0, 0, 0, 0, 0, 0, 0, -60, 0, -72, 0, 0, 0, 8, 0, 0, 0, 26, 0, -26, 0, 0, 0, 58, 0, 0, 0, 60, 0, 54, 0, 0, 0, 51, 0, 0, 0, 60, 0, 72, 0, 0, 0, -60, 0, 0, 0, 70, 0, 18, 0, 0, 0, -34, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, -8, 0, 48, 0, 0, 0, -78, 0, 0, 0, 54, 0, 4, 0, 0, 0, -25, 0, 0, 0, -48, 0, -12, 0, 0, 0, -18, 0, 0, 0, -20, 0, 42, 0, 0, 0, -30, 0, 0, 0, -16, 0, -4, 0, 0, 0, 31, 0, 0, 0, -96, 0, -2, 0, 0, 0, 60, 0, 0, 0, 50, 0, 0, 0, 0, 0, -7, 0, 0, 0, 116, 0, 12, 0, 0, 0, 128, 0, 0, 0, -54, 0, -112, 0, 0, 0, 27, 0, 0, 0, 152, 0, -30, 0, 0, 0, 66, 0, 0, 0, -6, 0, -16, 0, 0, 0, 12, 0, 0, 0, 12, 0, -168, 0, 0, 0, 0, 0, 0, 0, 82, 0, -42, 0, 0, 0, 102, 0, 0, 0, -88, 0, -38, 0, 0, 0, 31, 0, 0, 0, -12, 0, 6, 0, 0, 0, -69, 0, 0, 0, 32, 0, 0, 0, 0, 0, -29, 0, 0, 0, -186, 0, 40, 0, 0, 0, -106, 0, 0, 0, 0, 0, -56, 0, 0, 0, -15, 0, 0, 0, -136, 0, 60, 0, 0, 0, -4, 0, 0, 0, -42, 0, -14, 0, 0, 0, -146, 0, 0, 0, 42, 0, -66, 0, 0, 0, 0, 0, 0, 0, -116, 0, -120, 0, 0, 0, -2, 0, 0, 0, 6, 0, 112, 0, 0, 0, 80, 0, 0, 0, 114, 0, -8, 0, 0, 0, -12, 0, 0, 0, 70, 0, -72, 0, 0, 0, 31, 0, 0, 0, 124, 0, 144, 0, 0, 0, 50, 0, 0, 0, 0, 0, -52, 0, 0, 0, 72, 0, 0, 0, 54, 0, 66, 0, 0, 0, 43, 0, 0, 0, 264, 0, 32, 0, 0, 0, 19, 0, 0, 0, 0, 0, 300, 0, 0, 0, -81, 0, 0, 0, 72, 0, 90, 0, 0, 0, -154, 0, 0, 0, -120, 0, -46, 0, 0, 0, -116, 0, 0, 0, -228, 0, -20, 0, 0, 0, 21, 0, 0, 0, -72, 0, 0, 0, 0, 0, 48, 0, 0, 0, -46, 0, -34, 0, 0, 0, -24, 0, 0, 0, -216, 0, 64, 0, 0, 0, 78, 0, 0, 0, 22, 0, 240, 0, 0, 0, 57, 0, 0, 0, -130, 0, 74, 0, 0, 0, -90, 0, 0, 0, 150, 0, 14, 0, 0, 0, 0, 0, 0, 0, 112, 0, -252, 0, 0, 0, 33, 0, 0, 0, 72, 0, -96, 0, 0, 0, -42, 0, 0, 0, 96, 0, 52, 0, 0, 0, 87, 0, 0, 0, -52, 0, 0, 0, 0, 0, -95, 0, 0, 0, 52, 0, 120, 0, 0, 0, 27, 0, 0, 0, 0, 0, 6, 0, 0, 0, -138, 0, 0, 0, -98, 0, -114, 0, 0, 0, 18, 0, 0, 0, -208, 0, -116, 0, 0, 0, 123, 0, 0, 0, -30, 0, -146, 0, 0, 0, 0, 0, 0, 0, 66, 0, -114, 0, 0, 0, 87, 0, 0, 0, 156, 0, -188, 0, 0, 0, 76, 0, 0, 0, 48, 0, -12, 0, 0, 0, 27, 0, 0, 0, 148, 0, -54, 0, 0, 0, -50, 0, 0, 0, 56, 0, -66, 0, 0, 0, -8, 0, 0, 0, 0, 0, -80, 0, 0, 0, -75, 0, 0, 0, -82, 0, -78, 0, 0, 0, 262, 0, 0, 0, -132, 0, -10, 0, 0, 0, 21, 0, 0, 0, 132, 0, -2, 0, 0, 0, -99, 0, 0, 0, 8, 0, 204, 0, 0, 0, -97, 0, 0, 0, -266, 0, 66, 0, 0, 0, -154, 0, 0, 0, -66, 0, 42, 0, 0, 0, -84, 0, 0, 0, -84, 0, 0, 0, 0, 0, 8, 0, 0, 0, 22, 0, 2, 0, 0, 0, 30, 0, 0, 0, 162, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 117908
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.q.a', 'target_level': 140, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 117909
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '140.2.q.a', 'target_level': 140, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 117910
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '140.2.q.b', 'target_level': 140, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 117911
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '140.2.q.b', 'target_level': 140, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 117912
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '560.2.bw.a', 'target_level': 560, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 117913
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '560.2.bw.a', 'target_level': 560, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 117914
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.bw.e', 'target_level': 560, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 117915
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '560.2.bw.e', 'target_level': 560, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 117916
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '700.2.i.f', 'target_level': 700, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 117917
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '700.2.i.f', 'target_level': 700, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 117918
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '980.2.e.c', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 117919
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '980.2.e.c', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 117920
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.e.f', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 117921
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '980.2.e.f', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 117922
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '980.2.q.b', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 117923
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '980.2.q.b', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 117924
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '980.2.q.g', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 117925
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '980.2.q.g', 'target_level': 980, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 117926
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1260.2.bm.a', 'target_level': 1260, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 117927
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1260.2.bm.a', 'target_level': 1260, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 117928
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1260.2.bm.b', 'target_level': 1260, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 117929
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1260.2.bm.b', 'target_level': 1260, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 117930
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4900.2.a.be', 'target_level': 4900, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 117931
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '140.2.q.a', 'source_level': 140, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '4900.2.a.bf', 'target_level': 4900, 'twist_class_label': '140.2.q.a', 'twist_class_level': 140, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 377325
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1099545182348, 'p': 2}
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id: 377326
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 3}
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id: 377327
{'charpoly_factorization': [[[25, -5, -4, -1, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 5}
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id: 377328
{'charpoly_factorization': [[[49, 21, 2, 3, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 7}
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id: 377329
{'charpoly_factorization': [[[144, 36, 21, -3, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 11}
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id: 377330
{'charpoly_factorization': [[[256, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 13}
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id: 377331
{'charpoly_factorization': [[[4, -18, 29, -9, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 17}
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id: 377332
{'charpoly_factorization': [[[196, -14, 15, 1, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 19}
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id: 377333
{'charpoly_factorization': [[[49, -84, 41, 12, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 23}
-
id: 377334
{'charpoly_factorization': [[[-14, 1, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 29}
-
id: 377335
{'charpoly_factorization': [[[196, 14, 15, -1, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 31}
-
id: 377336
{'charpoly_factorization': [[[3136, -1512, 299, -27, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 37}
-
id: 377337
{'charpoly_factorization': [[[42, 15, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 41}
-
id: 377338
{'charpoly_factorization': [[[196, 0, 47, 0, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 43}
-
id: 377339
{'charpoly_factorization': [[[196, 210, 89, 15, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 47}
-
id: 377340
{'charpoly_factorization': [[[1764, -126, -39, 3, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 53}
-
id: 377341
{'charpoly_factorization': [[[196, 14, 15, -1, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 59}
-
id: 377342
{'charpoly_factorization': [[[441, 252, 165, -12, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 61}
-
id: 377343
{'charpoly_factorization': [[[2401, -882, 59, 18, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 67}
-
id: 377344
{'charpoly_factorization': [[[-48, -6, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 71}
-
id: 377345
{'charpoly_factorization': [[[196, 210, 89, 15, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 73}
-
id: 377346
{'charpoly_factorization': [[[4, 14, 51, -7, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 79}
-
id: 377347
{'charpoly_factorization': [[[1764, 0, 87, 0, 1], 1]], 'hecke_orbit_code': 1099545182348, 'p': 83}
-
id: 377348
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 89}
-
id: 377349
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 1099545182348, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 1, 'label': '140.2.q.a', 'level': 140, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47116000
{'hecke_orbit_code': 1099545182348, 'n': 1, 'trace_an': 4}
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id: 47116001
{'hecke_orbit_code': 1099545182348, 'n': 2, 'trace_an': 0}
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id: 47116002
{'hecke_orbit_code': 1099545182348, 'n': 3, 'trace_an': -6}
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id: 47116003
{'hecke_orbit_code': 1099545182348, 'n': 4, 'trace_an': 0}
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id: 47116004
{'hecke_orbit_code': 1099545182348, 'n': 5, 'trace_an': 1}
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id: 47116005
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