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mf_newforms • Show schema
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{'Nk2': 1680, 'analytic_conductor': 3.353716884893776, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 34, 'char_orbit_label': 'bh', 'char_order': 6, 'char_parity': 1, 'char_values': [420, 6, [211, 281, 337, 241], [6, 3, 6, 1]], 'cm_discs': [], 'conrey_index': 101, 'conrey_indexes': [101, 341], 'dim': 10, 'field_disc': -29471584693248, 'field_disc_factorization': [[-1, 1], [2, 10], [3, 5], [10883, 2]], 'field_poly': [243, -162, 54, -36, 39, -36, 13, -4, 2, -2, 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': [[11, [1728, -7488, 14128, -14352, 8156, -2280, 84, 96, -4, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505867403657636, 'hecke_ring_generator_nbound': 7, '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, 21, 7, 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': '420.2.bh.b', 'level': 420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '420.2.bh.a', 'nf_label': '10.0.29471584693248.1', 'prim_orbit_index': 7, 'qexp_display': 'q+\\beta _{6}q^{3}+(1+\\beta _{7})q^{5}+(-1+\\beta _{2}+\\beta _{3}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '420.2.bh', 'trace_display': [0, 1, 5, -5], 'trace_hash': 1701475577211285025, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.088', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.728', 'prec': 17}, {'__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, 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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 1, -1, 1, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 1, 0, 0, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -2, -1, 1, 2, 1, 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, 0, 0, 0, 0, 0], [0, -2, -1, 0, 1, 1, 1, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 1, -1, -1, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 2, 0, -1, 0, 0, 1, 0, 2], [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, 0, -2, 0, 0, -1, 1, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -1, -2, 2, -1, 1, 4, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 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2, -2, 6, 12, 8, 0], [0, 6, 0, 0, 0, -1, -5, -6, 6, 0], [-4, -9, 0, 0, 0, 9, -2, 1, 2, 3], [0, -9, -8, 0, 8, -5, 14, 16, -9, 0], [10, -5, 3, -4, 3, -2, 3, 7, 5, 0], [5, 1, -1, 0, 0, 6, 6, 0, -7, 0], [-9, -3, 0, -4, 5, -3, 3, -7, 3, -2], [4, 2, 0, -4, 0, -6, -8, 4, -2, 0], [-8, 13, 6, 8, -12, 9, -9, -16, 4, 8], [1, 6, 6, 0, -3, -6, -5, -7, 5, 6], [1, -5, 3, -1, -3, -3, 8, -16, -5, -2], [6, -2, 2, 8, -4, -4, 4, 12, 2, 8], [1, -8, -1, 1, -1, 2, 10, 0, 8, 0], [-10, -4, 6, 0, 0, 12, 12, 0, -8, 0], [0, 1, 3, -8, 3, -10, -11, 4, -1, 0], [7, 2, 3, 2, -6, 1, -1, 14, 1, 2], [6, 6, -1, -6, 1, -4, -2, 31, 6, -12], [1, 1, 2, 0, -1, -1, -3, -3, 3, 2], [6, -2, 2, -2, -4, -12, 12, 12, 10, -2], [21, -1, -7, 11, -7, 7, 8, 5, 1, 0], [-7, -4, -5, 0, 0, -5, -5, 0, 9, 0], [9, -7, 0, -12, 9, -7, 11, 15, 11, -6], [2, -8, 7, -12, 7, -10, -2, 7, 8, 0], [-1, -4, 18, 0, -9, 4, -2, -10, 2, 11], [-2, -2, -5, -2, 10, 9, -9, -4, -11, -2], [17, 2, 0, 8, -10, 2, 5, 13, 5, 4], [-10, -6, 0, -12, 2, -6, 6, -4, 6, -6], [-9, -2, -4, -3, 8, 2, -2, -18, -4, -3], [-7, -7, -6, 0, 3, 7, -2, 5, 2, 2], [-6, -1, 0, 6, 0, 1, 0, -4, -1, 12], [-7, 6, 3, 10, -6, 4, -4, -14, 2, 10], [-19, 0, 0, -6, 9, 0, -6, -16, -6, -3], [10, 4, 4, -2, 0, -8, -8, 0, 4, 2], [14, 3, 0, 6, -10, 3, -6, 11, -6, 3], [-8, 5, 0, 6, 0, 13, -13, -16, -8, 6], [-2, 0, -3, 2, 3, 3, -3, 21, 0, 4], [10, 0, 0, 2, 0, -3, -3, 4, 0, 0], [-7, 11, 7, 2, 0, -6, -6, 0, -5, -2], [31, -4, -5, 9, -5, -4, 0, 11, 4, 0], [-6, 3, -11, -5, 22, 3, -3, -12, 0, -5], [-2, 1, 4, 0, -2, -1, 4, 3, -4, -1], [3, 3, -7, -3, 7, -2, -1, -12, 3, -6], [-8, -5, 2, -6, -4, -10, 10, -16, 5, -6], [-4, -3, 4, -8, 4, -13, -10, 2, 3, 0], [11, 10, -6, 7, 0, 3, 3, 0, -13, -7], [17, -1, -2, -11, 4, -8, 8, 34, 7, -11], [0, -6, 5, 0, -5, 9, -3, -11, -6, 0], [-3, 2, -6, 0, 3, -2, -5, 2, 5, 1], [6, -3, 8, 0, -4, 3, 5, 2, -5, -8], [-2, -12, 0, -20, 4, -12, 6, 8, 6, -10], [5, -8, 1, 5, 0, 2, 2, 0, 6, -5], [-33, -3, 8, -3, 0, 6, 6, 0, -3, 3], [-17, 6, 0, 8, 3, 6, -2, -21, -2, 4], [5, 6, -14, -5, 14, -10, 4, 3, 6, -10], [-9, 6, 2, 3, -4, 11, -11, -18, -5, 3], [-17, 10, 0, 18, -7, 10, -12, -26, -12, 9], [14, -1, 0, -8, -3, -1, -6, 18, -6, -4], [-5, -5, 2, 5, -4, 6, -6, -10, -11, 5], [3, 3, -8, -3, 8, 4, -7, -25, 3, -6], [5, 4, -18, 0, 9, -4, 2, 7, -2, -12], [-2, 8, 8, 6, -16, -2, 2, -4, 10, 6], [-9, -2, 2, 1, 0, -10, -10, 0, 12, -1], [6, -2, 0, 8, -10, -2, 8, 2, 8, 4], [-4, 4, -5, 6, -5, -1, -5, -5, -4, 0], [0, 6, 1, 0, -1, -14, 8, -7, 6, 0], [6, -1, -2, -6, 2, 5, -4, 12, -1, -12], [9, 2, 0, 15, 0, 9, 7, -3, -2, 0]], 'char_orbit_index': 34, 'field_poly': [243, -162, 54, -36, 39, -36, 13, -4, 2, -2, 1], 'hecke_orbit_code': 4505867403657636, 'hecke_ring_character_values': [[211, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [281, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [337, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [241, [1, 0, 0, 0, 0, 0, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 18, 216, 648, 216, 72, 648, 81, 648], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, -1, 0, 0, 1, 0, 0], [0, 0, 2, 0, 0, 1, -1, 0, 1, 2], [-3, 2, 2, 0, 1, -2, -2, 3, -2, 1], [6, -2, 2, -4, 2, -4, -4, -2, -1, -2], [3, 4, -2, -4, 12, 0, 4, -8, 0, -4], [0, -1, -8, -18, 6, -4, 12, 18, -10, -8], [30, -8, 3, -5, -5, 38, -10, -7, -16, 16], [48, 46, 18, 26, 0, 25, -9, 88, -29, 16]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [18, -21, 18, -4, 4, -2, 2, -1, 0, 0], [135, -171, 21, -51, 22, -18, 7, -9, -1, 1], [-486, -243, -216, 123, -30, 32, 28, 7, -4, 5], [-486, 9, 6, 9, -58, 16, 4, -1, 2, 3], [216, -63, 48, -15, 22, -20, 6, -1, 0, -1], [-729, 0, -153, 114, -108, 50, -23, 16, -7, 8], [-162, 54, -36, 39, -36, 13, -4, 2, -2, 1], [1701, 243, -297, 231, 186, -94, -35, 25, 5, -13]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '420.2.bh.b', 'level': 420, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1680, 'analytic_conductor': 3.353716884893776, 'char_conductor': 21, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 34, 'char_orbit_label': 'bh', 'char_order': 6, 'char_parity': 1, 'char_values': [420, 6, [211, 281, 337, 241], [6, 3, 6, 1]], 'conrey_index': 101, 'cusp_dim': 168, 'dim': 20, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 2267776287140, 'hecke_orbit_dims': [10, 10], 'label': '420.2.bh', 'level': 420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 216, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 10, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 0, 0, -10], 'traces': [20, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 6, 0, 22, 0, 0, 0, -10, 0, 0, 0, 0, 0, 30, 0, -24, 0, 0, 0, -2, 0, -6, 0, 0, 0, -52, 0, 6, 0, 0, 0, -26, 0, -4, 0, 0, 0, 0, 0, 36, 0, 0, 0, 84, 0, -50, 0, 0, 0, 14, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 2, 0, 28, 0, 0, 0, -24, 0, -18, 0, 0, 0, -22, 0, -22, 0, 0, 0, 0, 0, 72, 0, 0, 0, -54, 0, -14, 0, 0, 0, -14, 0, 0, 0, 0, 0, -48, 0, -18, 0, 0, 0, -22, 0, -74, 0, 0, 0, 4, 0, 0, 0, 0, 0, 14, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, 0, -36, 0, 26, 0, 0, 0, -32, 0, 0, 0, 0, 0, 144, 0, 48, 0, 0, 0, 32, 0, -16, 0, 0, 0, -64, 0, -30, 0, 0, 0, 8, 0, 28, 0, 0, 0, 0, 0, -36, 0, 0, 0, 108, 0, 70, 0, 0, 0, 46, 0, 0, 0, 0, 0, 12, 0, -72, 0, 0, 0, 8, 0, 2, 0, 0, 0, 80, 0, 84, 0, 0, 0, -32, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, 32, 0, 0, 0, 28, 0, 0, 0, 0, 0, 96, 0, 60, 0, 0, 0, -30, 0, 46, 0, 0, 0, 72, 0, 84, 0, 0, 0, -26, 0, 14, 0, 0, 0, 0, 0, -60, 0, 0, 0, -36, 0, -128, 0, 0, 0, -82, 0, 0, 0, 0, 0, -138, 0, 48, 0, 0, 0, -38, 0, 68, 0, 0, 0, 0, 0, -132, 0, 0, 0, -98, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 78, 0, -42, 0, 0, 0, -48, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 70, 0, -74, 0, 0, 0, -12, 0, 48, 0, 0, 0, 284, 0, 14, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 52, 0, 0, 0, -124, 0, 0, 0, 0, 0, -138, 0, 42, 0, 0, 0, -10, 0, -2, 0, 0, 0, -44, 0, -198, 0, 0, 0, 68, 0, -56, 0, 0, 0, 0, 0, 16, 0, 0, 0, -198, 0, -62, 0, 0, 0, 202, 0, 0, 0, 0, 0, -18, 0, -48, 0, 0, 0, 8, 0, 70, 0, 0, 0, 36, 0, 228, 0, 0, 0, -68, 0, -48, 0, 0, 0, 0, 0, 68, 0, 0, 0, -60, 0, 150, 0, 0, 0, 56, 0, 0, 0, 0, 0, 120, 0, 72, 0, 0, 0, -2, 0, 16, 0, 0, 0, 228, 0, 72, 0, 0, 0, -68, 0, 52, 0, 0, 0, 0, 0, -112, 0, 0, 0, -6, 0, -214, 0, 0, 0, -18, 0, 0, 0, 0, 0, -276, 0, 48, 0, 0, 0, -38, 0, 90, 0, 0, 0, 40, 0, 54, 0, 0, 0, -244, 0, -50, 0, 0, 0, 0, 0, -80, 0, 0, 0, -54, 0, -26, 0, 0, 0, 30, 0, 0, 0, 0, 0, -84, 0, 12, 0, 0, 0, -138, 0, -136, 0, 0, 0, 40, 0, 30, 0, 0, 0, 318, 0, -44, 0, 0, 0, 0, 0, -128, 0, 0, 0, -48, 0, 66, 0, 0, 0, -138, 0, 0, 0, 0, 0, 150, 0, -54, 0, 0, 0, 112, 0, -68, 0, 0, 0, 100, 0, -348, 0, 0, 0, 64, 0, 104, 0, 0, 0, 0, 0, 120, 0, 0, 0, 162, 0, 110, 0, 0, 0, 200, 0, 0, 0, 0, 0, -42, 0, -204, 0, 0, 0, -10, 0, 60, 0, 0, 0, -160, 0, 276, 0, 0, 0, -86, 0, 136, 0, 0, 0, 0, 0, 20, 0, 0, 0, 144, 0, 258, 0, 0, 0, 52, 0, 0, 0, 0, 0, 234, 0, 276, 0, 0, 0, 56, 0, 44, 0, 0, 0, -212, 0, 18, 0, 0, 0, 128, 0, 52, 0, 0, 0, 0, 0, 92, 0, 0, 0, 186, 0, -220, 0, 0, 0, -100, 0, 0, 0, 0, 0, -150, 0, 72, 0, 0, 0, 152, 0, 130, 0, 0, 0, -152, 0, -156, 0, 0, 0, -166, 0, -100, 0, 0, 0, 0, 0, 180, 0, 0, 0, -246, 0, -90, 0, 0, 0, -34, 0, 0, 0, 0, 0, -72, 0, -318, 0, 0, 0, -166, 0, -168, 0, 0, 0, 248, 0, -228, 0, 0, 0, 112, 0, -16, 0, 0, 0, 0, 0, 64, 0, 0, 0, -30, 0, 118, 0, 0, 0, -80, 0, 0, 0, 0, 0, 144, 0, -114, 0, 0, 0, 84, 0, -80, 0, 0, 0, -64, 0, -258, 0, 0, 0, 120, 0, -14, 0, 0, 0, 0, 0, 160, 0, 0, 0, 30, 0, 34, 0, 0, 0, 144, 0, 0, 0, 0, 0, -30, 0, -30, 0, 0, 0, 68, 0, 126, 0, 0, 0, 12, 0, 264, 0, 0, 0, -134, 0, -150, 0, 0, 0, 0, 0, 16, 0, 0, 0, -108, 0, 282, 0, 0, 0, 76, 0, 0, 0, 0, 0, 390, 0, 0, 0, 0, 0, -68, 0, 32, 0, 0, 0, -580, 0, 72, 0, 0, 0, -146, 0, 44, 0, 0, 0, 0, 0, -112, 0, 0, 0, 240, 0, -346, 0, 0, 0, 30, 0, 0, 0, 0, 0, -420, 0, -30, 0, 0, 0, -122, 0, 108, 0, 0, 0, 4, 0, -204, 0, 0, 0, -176, 0, -60, 0, 0, 0, 0, 0, -140, 0, 0, 0, -264, 0, -172, 0, 0, 0, -38, 0, 0, 0, 0, 0, -168, 0, 120, 0, 0, 0, 92, 0, -206, 0, 0, 0, -244, 0, 0, 0, 0, 0, 302, 0, -6, 0, 0, 0, 0, 0, 184, 0, 0, 0, -48, 0, 284, 0, 0, 0, -70, 0, 0, 0, 0, 0, 102, 0, 30, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 309720
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 34, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.bh.a', 'target_level': 420, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309721
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 34, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '420.2.bh.a', 'target_level': 420, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 309722
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 34, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.bh.b', 'target_level': 420, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 309723
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 34, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '420.2.bh.b', 'target_level': 420, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 309724
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 35, 'target_dim': 10, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2100.2.bi.j', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 309725
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 35, 'target_dim': 10, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2100.2.bi.j', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 309726
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 35, 'target_dim': 10, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2100.2.bi.k', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 309727
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 35, 'target_dim': 10, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2100.2.bi.k', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 309728
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 41, 'target_dim': 20, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2100.2.bo.g', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 309729
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 41, 'target_dim': 20, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2100.2.bo.g', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 309730
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 41, 'target_dim': 20, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2100.2.bo.h', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 309731
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 41, 'target_dim': 20, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2100.2.bo.h', 'target_level': 2100, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 309732
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2940.2.d.a', 'target_level': 2940, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 309733
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2940.2.d.a', 'target_level': 2940, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 309734
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2940.2.d.b', 'target_level': 2940, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 309735
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 34, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '420.2.bh.b', 'source_level': 420, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2940.2.d.b', 'target_level': 2940, 'twist_class_label': '420.2.bh.a', 'twist_class_level': 420, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 862325
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 4505867403657636, 'p': 2}
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id: 862326
{'charpoly_factorization': [[[243, -81, -27, 36, 3, -21, 1, 4, -1, -1, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 3}
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id: 862327
{'charpoly_factorization': [[[1, -1, 1], 5]], 'hecke_orbit_code': 4505867403657636, 'p': 5}
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id: 862328
{'charpoly_factorization': [[[16807, 12005, 6517, 294, -637, -533, -91, 6, 19, 5, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 7}
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id: 862329
{'charpoly_factorization': [[[1728, -7488, 14128, -14352, 8156, -2280, 84, 96, -4, -6, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 11}
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id: 862330
{'charpoly_factorization': [[[3888, 0, 65704, 0, 22251, 0, 2183, 0, 81, 0, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 13}
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id: 862331
{'charpoly_factorization': [[[69696, -21120, 55504, 32832, 30292, 7548, 2352, 168, 70, 6, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 17}
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id: 862332
{'charpoly_factorization': [[[192, 960, 1864, 1320, -213, -519, 152, 45, -12, -3, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 19}
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id: 862333
{'charpoly_factorization': [[[2462508, 3527964, 2097940, 591888, 50818, -11418, -1389, 744, 223, 24, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 23}
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id: 862334
{'charpoly_factorization': [[[8748, 0, 129448, 0, 100708, 0, 6537, 0, 142, 0, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 29}
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id: 862335
{'charpoly_factorization': [[[1978032, -2143680, 211684, 609840, 92463, -41223, -376, 945, 12, -15, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 31}
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id: 862336
{'charpoly_factorization': [[[12544, 95872, 732848, 14152, 57241, -1533, 3634, -65, 68, 1, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 37}
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id: 862337
{'charpoly_factorization': [[[-1338, 1084, 64, -115, -4, 1], 2]], 'hecke_orbit_code': 4505867403657636, 'p': 41}
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id: 862338
{'charpoly_factorization': [[[1559, 1473, -568, -42, 13, 1], 2]], 'hecke_orbit_code': 4505867403657636, 'p': 43}
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id: 862339
{'charpoly_factorization': [[[295289856, -26119680, 29254912, 5407744, 2084288, 197728, 31216, 1904, 284, 14, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 47}
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id: 862340
{'charpoly_factorization': [[[113246208, -103809024, 17563648, 12976128, 946176, -258048, -9664, 2880, 72, -24, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 53}
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id: 862341
{'charpoly_factorization': [[[125081856, 49030656, 23447008, 1921728, 844324, 71664, 21216, 756, 160, 0, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 59}
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id: 862342
{'charpoly_factorization': [[[1338672, -3398784, 3926512, -2666112, 1167096, -342264, 68273, -9198, 807, -42, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 61}
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id: 862343
{'charpoly_factorization': [[[45684081, -30841317, 24268059, -268326, 1088883, -40797, 35871, 324, 241, -7, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 67}
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id: 862344
{'charpoly_factorization': [[[88259328, 0, 17753152, 0, 1171116, 0, 28832, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 71}
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id: 862345
{'charpoly_factorization': [[[1572528, 10668864, 22887532, -8414256, -266785, 431217, 57384, -759, -250, 3, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 73}
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id: 862346
{'charpoly_factorization': [[[138485824, 65147648, 32471336, 3684368, 1104241, 52755, 31558, 503, 194, -1, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 79}
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id: 862347
{'charpoly_factorization': [[[28794, 28510, 1024, -379, -4, 1], 2]], 'hecke_orbit_code': 4505867403657636, 'p': 83}
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id: 862348
{'charpoly_factorization': [[[272484, 48024, 256936, 186932, 261524, 109826, 35605, 5236, 563, 28, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 89}
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id: 862349
{'charpoly_factorization': [[[1051392, 0, 1222528, 0, 205424, 0, 11040, 0, 212, 0, 1], 1]], 'hecke_orbit_code': 4505867403657636, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 34, 'hecke_orbit': 2, 'label': '420.2.bh.b', 'level': 420, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 98081000
{'hecke_orbit_code': 4505867403657636, 'n': 1, 'trace_an': 10}
-
id: 98081001
{'hecke_orbit_code': 4505867403657636, 'n': 2, 'trace_an': 0}
-
id: 98081002
{'hecke_orbit_code': 4505867403657636, 'n': 3, 'trace_an': 1}
-
id: 98081003
{'hecke_orbit_code': 4505867403657636, 'n': 4, 'trace_an': 0}
-
id: 98081004
{'hecke_orbit_code': 4505867403657636, 'n': 5, 'trace_an': 5}
-
id: 98081005
{'hecke_orbit_code': 4505867403657636, 'n': 6, 'trace_an': 0}
-
id: 98081006
{'hecke_orbit_code': 4505867403657636, 'n': 7, 'trace_an': -5}
-
id: 98081007
{'hecke_orbit_code': 4505867403657636, 'n': 8, 'trace_an': 0}
-
id: 98081008
{'hecke_orbit_code': 4505867403657636, 'n': 9, 'trace_an': 3}
-
id: 98081009
{'hecke_orbit_code': 4505867403657636, 'n': 10, 'trace_an': 0}
-
id: 98081010
{'hecke_orbit_code': 4505867403657636, 'n': 11, 'trace_an': 6}
-
id: 98081011
{'hecke_orbit_code': 4505867403657636, 'n': 12, 'trace_an': 0}
-
id: 98081012
{'hecke_orbit_code': 4505867403657636, 'n': 13, 'trace_an': 0}
-
id: 98081013
{'hecke_orbit_code': 4505867403657636, 'n': 14, 'trace_an': 0}
-
id: 98081014
{'hecke_orbit_code': 4505867403657636, 'n': 15, 'trace_an': 2}
-
id: 98081015
{'hecke_orbit_code': 4505867403657636, 'n': 16, 'trace_an': 0}
-
id: 98081016
{'hecke_orbit_code': 4505867403657636, 'n': 17, 'trace_an': -6}
-
id: 98081017
{'hecke_orbit_code': 4505867403657636, 'n': 18, 'trace_an': 0}
-
id: 98081018
{'hecke_orbit_code': 4505867403657636, 'n': 19, 'trace_an': 3}
-
id: 98081019
{'hecke_orbit_code': 4505867403657636, 'n': 20, 'trace_an': 0}
-
id: 98081020
{'hecke_orbit_code': 4505867403657636, 'n': 21, 'trace_an': 12}
-
id: 98081021
{'hecke_orbit_code': 4505867403657636, 'n': 22, 'trace_an': 0}
-
id: 98081022
{'hecke_orbit_code': 4505867403657636, 'n': 23, 'trace_an': -24}
-
id: 98081023
{'hecke_orbit_code': 4505867403657636, 'n': 24, 'trace_an': 0}
-
id: 98081024
{'hecke_orbit_code': 4505867403657636, 'n': 25, 'trace_an': -5}
-
id: 98081025
{'hecke_orbit_code': 4505867403657636, 'n': 26, 'trace_an': 0}
-
id: 98081026
{'hecke_orbit_code': 4505867403657636, 'n': 27, 'trace_an': -8}
-
id: 98081027
{'hecke_orbit_code': 4505867403657636, 'n': 28, 'trace_an': 0}
-
id: 98081028
{'hecke_orbit_code': 4505867403657636, 'n': 29, 'trace_an': 0}
-
id: 98081029
{'hecke_orbit_code': 4505867403657636, 'n': 30, 'trace_an': 0}
-
id: 98081030
{'hecke_orbit_code': 4505867403657636, 'n': 31, 'trace_an': 15}
-
id: 98081031
{'hecke_orbit_code': 4505867403657636, 'n': 32, 'trace_an': 0}
-
id: 98081032
{'hecke_orbit_code': 4505867403657636, 'n': 33, 'trace_an': -4}
-
id: 98081033
{'hecke_orbit_code': 4505867403657636, 'n': 34, 'trace_an': 0}
-
id: 98081034
{'hecke_orbit_code': 4505867403657636, 'n': 35, 'trace_an': -1}
-
id: 98081035
{'hecke_orbit_code': 4505867403657636, 'n': 36, 'trace_an': 0}
-
id: 98081036
{'hecke_orbit_code': 4505867403657636, 'n': 37, 'trace_an': -1}
-
id: 98081037
{'hecke_orbit_code': 4505867403657636, 'n': 38, 'trace_an': 0}
-
id: 98081038
{'hecke_orbit_code': 4505867403657636, 'n': 39, 'trace_an': -21}
-
id: 98081039
{'hecke_orbit_code': 4505867403657636, 'n': 40, 'trace_an': 0}
-
id: 98081040
{'hecke_orbit_code': 4505867403657636, 'n': 41, 'trace_an': 8}
-
id: 98081041
{'hecke_orbit_code': 4505867403657636, 'n': 42, 'trace_an': 0}
-
id: 98081042
{'hecke_orbit_code': 4505867403657636, 'n': 43, 'trace_an': -26}
-
id: 98081043
{'hecke_orbit_code': 4505867403657636, 'n': 44, 'trace_an': 0}
-
id: 98081044
{'hecke_orbit_code': 4505867403657636, 'n': 45, 'trace_an': 3}
-
id: 98081045
{'hecke_orbit_code': 4505867403657636, 'n': 46, 'trace_an': 0}
-
id: 98081046
{'hecke_orbit_code': 4505867403657636, 'n': 47, 'trace_an': -14}
-
id: 98081047
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