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mf_newforms • Show schema
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{'Nk2': 1820, 'analytic_conductor': 3.6331932919682575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [455, 2, [92, 66, 106], [1, 2, 2]], 'cm_discs': [], 'conrey_index': 274, 'dim': 14, 'field_disc': -104529189263640641536, 'field_disc_factorization': [[-1, 1], [2, 14], [4049, 2], [19727, 2]], 'field_poly': [4, 0, 56, 0, 225, 0, 372, 0, 272, 0, 96, 0, 16, 0, 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': [[2, [4, 0, 56, 0, 225, 0, 372, 0, 272, 0, 96, 0, 16, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878855, '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, 5, 2, 1, 2, 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': '455.2.c.b', 'level': 455, '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': True, 'level_primes': [5, 7, 13], 'level_radical': 455, 'minimal_twist': '455.2.c.b', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{13}q^{3}+(-1+\\beta _{4}-\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '455.2.c', 'trace_display': [0, 0, 2, 0], 'trace_hash': 1881412585470439383, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.953', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.875', 'prec': 17}, {'__RealLiteral__': 0, 'data': '998.603', 'prec': 24}, {'__RealLiteral__': 0, 'data': '234.845', 'prec': 24}, {'__RealLiteral__': 0, 'data': '119184.431', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.512', 'prec': 17}, 'traces': [14, 0, 0, -4, 2, -16, 0, 0, -2, -4, -12, 0, 0, 0, -6, -8, 0, 0, 20, 6, -4, 0, 0, 10, -4, 0, 0, 0, 52, 28, -12, 0, 0, 2, 2, -12, 0, 0, -4, 46, -56, 0, 0, 0, 30, -36, 0, 0, -14, 30, -64, 0, 0, -22, 2, -12, 0, 0, 56, 60, -52, 0, 0, 16, 2, 4, 0, 0, 44, 12, -28, 0, 0, 24, 6, -72, 0, 0, -28, -10, -66, 0, 0, -6, 34, -8, 0, 0, 60, 32, -14, 0, 0, -28, -14, 0, 0, 0, 36, 68, -120, 0, 0, -12, 18, -72, 0, 0, 40, 40, 44, 0, 0, -58, 14, -42, 0, 0, -4, 38, -26, 0, 0, -14, 32, -2, 0, 0, 4, 12, -64, 0, 0, 46, -24, -24, 0, 0, 36, -18, -44, 0, 0, -42, -34, 20, 0, 0, 104, 84, -12, 0, 0, -36, -38, -6, 0, 0, 28, 38, 20, 0, 0, -16, 12, 48, 0, 0, -14, 22, 8, 0, 0, -126, -8, -100, 0, 0, 44, 38, 0, 0, 0, 60, -18, 26, 0, 0, 16, -10, 24, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [-1, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, -1, 1], [-2, 0, 0, 0, 1, -1, 1, 0, 1, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, -1, -1, 0, 0, 1, -1, 1, -1, -2, -2, 1, -2], [0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 2, -2, 1, 0, 1, -1, -1, 0, -1, -1], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, -2, 0, -1, 0, 0, 1, -1, 1, -2, -2, -2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, -2, 0, -1, 1, -1, 0, 1, -1, 0], [-1, 0, 0, -1, -3, 0, -1, 0, 0, 0, 1, -1, 0, 0], [0, -1, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 1], [0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1], [3, 0, 0, 2, 2, 0, 0, 0, -1, 0, -2, 2, 1, 0], [1, -1, 0, -2, 0, 1, 1, -1, 1, 0, -1, -1, 1, -2], [0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 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0], [0, 4, 8, 3, 0, 0, -3, -2, -3, 8, 8, 8, -3, 4], [0, -2, -12, -8, 0, 0, 8, -2, 8, -4, -10, -10, 8, -6], [0, 0, 0, 0, -1, 4, 1, 0, 5, 0, 7, -7, -5, 0], [0, 6, 4, 2, 0, 0, -2, 2, -2, 16, 10, 10, -2, 6], [0, 0, 0, -8, 0, -12, 2, 0, 2, 0, -1, 1, -2, 0], [0, -8, -4, -2, 0, 0, 2, 2, 2, 6, -1, -1, 2, 6], [0, 6, 0, -2, 0, 0, 2, -6, 2, -10, 0, 0, 2, 6], [-4, 0, 0, 4, -6, 0, 0, 0, 0, 0, 1, -1, 0, 0], [0, 0, 4, 12, 0, 0, -12, 12, -12, 28, 14, 14, -12, 12], [9, 0, 0, 9, 8, -8, 3, 0, 0, 0, -8, 8, 0, 0], [0, -2, 0, -1, 0, 0, 1, 0, 1, 0, -4, -4, 1, -14], [8, 0, 0, -4, -12, -4, -4, 0, -6, 0, 2, -2, 6, 0], [-4, 0, 0, 13, 12, -8, -5, 0, 7, 0, -6, 6, -7, 0], [4, 0, 0, 6, 0, 0, 4, 0, -8, 0, 3, -3, 8, 0], [6, 0, 0, 2, 4, 0, 4, 0, 0, 0, 1, -1, 0, 0], [6, 0, 0, 0, 12, 0, 4, 0, -2, 0, -2, 2, 2, 0], [0, 5, -4, -4, 0, 0, 4, -9, 4, -1, -6, -6, 4, -15], [-4, 0, 0, 4, 2, -12, -2, 0, 6, 0, -6, 6, -6, 0], [0, 6, 4, 5, 0, 0, -5, 4, -5, 20, 12, 12, -5, 16], [8, 0, 0, -10, 14, 0, 0, 0, 2, 0, -2, 2, -2, 0], [0, -4, -12, -6, 0, 0, 6, 0, 6, -18, -16, -16, 6, -11], [-2, 0, 0, -7, -7, -4, -2, 0, 4, 0, -1, 1, -4, 0], [0, 11, -4, -8, 0, 0, 8, -5, 8, -3, -9, -9, 8, -9], [0, 1, 0, -2, 0, 0, 2, -5, 2, -5, 5, 5, 2, 1], [-2, 0, 0, 2, 7, -6, -3, 0, 7, 0, -3, 3, -7, 0], [0, -8, 2, -2, 0, 0, 2, 0, 2, -2, -3, -3, 2, -3], [16, 0, 0, 2, 8, 0, -6, 0, -2, 0, -6, 6, 2, 0], [2, 0, 0, -4, 2, -4, 12, 0, -2, 0, -1, 1, 2, 0], [0, -8, 0, -2, 0, 0, 2, 0, 2, -12, -10, -10, 2, -4], [5, 0, 0, -4, 0, -4, 2, 0, 7, 0, -2, 2, -7, 0], [-2, 0, 0, 0, -18, -4, -10, 0, -2, 0, 0, 0, 2, 0], [0, 0, -8, -6, 0, 0, 6, -8, 6, -12, -10, -10, 6, -8], [0, 0, 0, 0, 8, -8, 2, 0, 0, 0, -3, 3, 0, 0], [0, 4, 0, -3, 0, 0, 3, -14, 3, 6, 2, 2, 3, -6], [0, -3, 0, -2, 0, 0, 2, 1, 2, 3, -4, -4, 2, 1], [0, 5, 12, 4, 0, 0, -4, -7, -4, -3, 4, 4, -4, 11], [4, 0, 0, -4, -7, 2, -7, 0, 1, 0, -1, 1, -1, 0], [-2, 0, 0, -18, -3, 0, 1, 0, 3, 0, 3, -3, -3, 0], [0, 2, -4, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, -10], [0, -6, 8, 5, 0, 0, -5, 16, -5, -6, 14, 14, -5, 14], [0, -2, 20, 9, 0, 0, -9, 4, -9, 12, 10, 10, -9, 10], [6, 0, 0, -3, -10, 0, 5, 0, -1, 0, 8, -8, 1, 0], [0, 0, 0, 4, 10, -8, 2, 0, 8, 0, -8, 8, -8, 0], [0, -12, -4, -2, 0, 0, 2, -4, 2, 4, -8, -8, 2, -1], [0, 0, -4, -14, 0, 0, 14, -16, 14, -26, -22, -22, 14, -16], [0, -5, -8, -4, 0, 0, 4, -1, 4, 13, -4, -4, 4, -5], [4, 0, 0, -17, -21, 10, 4, 0, 0, 0, 7, -7, 0, 0], [-14, 0, 0, 0, 4, -12, 4, 0, 10, 0, -2, 2, -10, 0], [-4, 0, 0, 6, 11, -18, -3, 0, -3, 0, -5, 5, 3, 0], [0, -12, 0, 0, 0, 0, 0, -8, 0, 8, -8, -8, 0, 2], [0, 4, 4, 10, 0, 0, -10, 4, -10, 20, 12, 12, -10, 7], [0, 0, -8, -8, 0, 0, 8, -8, 8, -16, -14, -14, 8, -14], [21, 0, 0, 8, -4, 4, -14, 0, -5, 0, -4, 4, 5, 0], [-7, 0, 0, -16, -24, 4, 2, 0, -1, 0, 8, -8, 1, 0], [0, -4, -8, -5, 0, 0, 5, 6, 5, -12, -10, -10, 5, 2], [0, -4, -4, -4, 0, 0, 4, -10, 4, -20, -11, -11, 4, -10], [0, 11, 0, -6, 0, 0, 6, -3, 6, -25, -4, -4, 6, -3], [18, 0, 0, 4, 13, 2, 9, 0, -1, 0, -3, 3, 1, 0], [-25, 0, 0, 2, 6, 8, 8, 0, 7, 0, 2, -2, -7, 0], [8, 0, 0, -2, 16, -12, 0, 0, 6, 0, 1, -1, -6, 0], [-8, 0, 0, 0, 2, -12, -8, 0, 8, 0, 1, -1, -8, 0], [0, 4, 0, -6, 0, 0, 6, -6, 6, -6, -13, -13, 6, -17], [0, -6, -4, 1, 0, 0, -1, 0, -1, -12, -8, -8, -1, -8], [-2, 0, 0, 8, -8, 4, -10, 0, -8, 0, -1, 1, 8, 0], [0, -1, 8, 2, 0, 0, -2, 5, -2, 15, 8, 8, -2, 9], [6, 0, 0, 4, 5, -12, 3, 0, 5, 0, -7, 7, -5, 0], [0, -14, 4, 7, 0, 0, -7, 12, -7, 2, 0, 0, -7, 6], [0, 0, 0, 6, -11, 8, -15, 0, -7, 0, 1, -1, 7, 0], [8, 0, 0, 1, -16, 16, -1, 0, -13, 0, 4, -4, 13, 0], [0, 2, 12, 4, 0, 0, -4, -2, -4, 20, 4, 4, -4, 0], [0, 10, -12, -3, 0, 0, 3, -4, 3, 6, -4, -4, 3, -8], [0, -4, -2, 0, 0, 0, 0, 0, 0, -20, -13, -13, 0, -13], [25, 0, 0, -2, -2, 8, 0, 0, -7, 0, 2, -2, 7, 0], [8, 0, 0, -8, -6, -4, 2, 0, 0, 0, -6, 6, 0, 0], [-12, 0, 0, -6, -12, 20, -6, 0, -4, 0, 14, -14, 4, 0], [0, 4, 8, 2, 0, 0, -2, 4, -2, -6, 10, 10, -2, 8], [0, -4, 8, 8, 0, 0, -8, 4, -8, 0, 0, 0, -8, 4], [4, 0, 0, 6, -8, 8, 4, 0, -6, 0, -5, 5, 6, 0], [-12, 0, 0, -8, -10, -4, 10, 0, -4, 0, 12, -12, 4, 0], [0, 10, 4, 7, 0, 0, -7, -4, -7, 20, 12, 12, -7, 0], [0, -16, 2, 12, 0, 0, -12, 20, -12, 28, 9, 9, -12, 7], [18, 0, 0, -10, 2, 12, -12, 0, 6, 0, 0, 0, -6, 0], [0, 9, 0, -6, 0, 0, 6, -5, 6, -7, 4, 4, 6, -9], [0, -1, -12, -10, 0, 0, 10, 1, 10, -25, -13, -13, 10, -3], [-20, 0, 0, 4, -2, 16, -6, 0, -8, 0, 0, 0, 8, 0], [0, -4, 4, 6, 0, 0, -6, 4, -6, -6, 8, 8, -6, 8], [0, 4, -16, -8, 0, 0, 8, -10, 8, 2, -5, -5, 8, -7], [0, -10, 0, -3, 0, 0, 3, -16, 3, -12, -20, -20, 3, -12], [-3, 0, 0, 12, 0, -4, 2, 0, -5, 0, -2, 2, 5, 0], [-4, 0, 0, -3, 23, 12, 0, 0, 4, 0, -3, 3, -4, 0], [12, 0, 0, 4, -13, 8, -7, 0, -11, 0, 1, -1, 11, 0], [0, -1, -8, 8, 0, 0, -8, 7, -8, 7, 7, 7, -8, 1], [-21, 0, 0, 10, 12, 4, 4, 0, 3, 0, -6, 6, -3, 0], [0, -1, 0, 8, 0, 0, -8, 9, -8, 19, 10, 10, -8, -11], [0, -10, 0, -9, 0, 0, 9, -4, 9, -22, -8, -8, 9, -2], [0, -8, 10, -2, 0, 0, 2, 2, 2, 4, 0, 0, 2, 5], [4, 0, 0, 10, 20, -4, -10, 0, 10, 0, -6, 6, -10, 0], [0, 21, -4, -8, 0, 0, 8, -17, 8, -11, 3, 3, 8, 3], [0, -14, 8, 13, 0, 0, -13, 8, -13, 26, 8, 8, -13, 12], [25, 0, 0, -9, -18, -4, -3, 0, 6, 0, 6, -6, -6, 0], [0, -5, 20, 8, 0, 0, -8, -3, -8, 9, 14, 14, -8, 11]], 'char_orbit_index': 3, 'field_poly': [4, 0, 56, 0, 225, 0, 372, 0, 272, 0, 96, 0, 16, 0, 1], 'hecke_orbit_code': 4503737099878855, 'hecke_ring_character_values': [[92, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [66, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [106, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 4, 1, 2, 2, 1, 4, 8, 4, 4, 4, 8, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 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, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, -1, 0], [0, -4, -1, -1, 0, 0, 1, -1, 1, -1, -2, -2, 1, -2], [13, 0, 0, -1, -9, 6, -1, 0, -6, 0, 1, -1, 6, 0], [0, 18, 8, 9, 0, 0, -9, 8, -9, 7, 15, 15, -9, 16], [-64, 0, 0, 10, 63, -34, 8, 0, 34, 0, -9, 9, -34, 0], [0, -90, -55, -63, 0, 0, 63, -53, 63, -41, -97, -97, 63, -105], [339, 0, 0, -73, -406, 193, -50, 0, -195, 0, 63, -63, 195, 0], [0, 484, 358, 406, 0, 0, -406, 331, -406, 233, 601, 601, -406, 651], [-1883, 0, 0, 481, 2526, -1108, 293, 0, 1135, 0, -406, 406, -1135, 0], [0, -2725, -2260, -2526, 0, 0, 2526, -2018, 2526, -1330, -3661, -3661, 2526, -3954], [10779, 0, 0, -3034, -15453, 6437, -1694, 0, -6679, 0, 2526, -2526, 6679, 0], [0, 15764, 14001, 15453, 0, 0, -15453, 12177, -15453, 7685, 22132, 22132, -15453, 23826]], 'hecke_ring_numerators': [[1, 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, 26, 0, -115, 0, -620, 0, -628, 0, -256, 0, -46, 0, -3], [14, 0, 134, 0, 316, 0, 259, 0, 95, 0, 16, 0, 1, 0], [-42, 0, -509, 0, -1344, 0, -1170, 0, -448, 0, -78, 0, -5, 0], [-64, 0, -693, 0, -1794, 0, -1576, 0, -612, 0, -108, 0, -7, 0], [-35, 0, -395, 0, -1037, 0, -912, 0, -353, 0, -62, 0, -4, 0], [0, -102, 0, -1501, 0, -4208, 0, -3780, 0, -1480, 0, -262, 0, -17], [164, 214, 1752, 2455, 4512, 6212, 3872, 5360, 1464, 2052, 252, 358, 16, 23], [0, -158, 0, -2037, 0, -5472, 0, -4816, 0, -1860, 0, -326, 0, -21], [-158, -56, -2037, -225, -5472, -372, -4816, -272, -1860, -96, -326, -16, -21, -1], [158, -56, 2037, -225, 5472, -372, 4816, -272, 1860, -96, 326, -16, 21, -1], [228, 214, 2480, 2455, 6312, 6212, 5496, 5360, 2120, 2052, 372, 358, 24, 23], [0, 164, 0, 1751, 0, 4500, 0, 3918, 0, 1508, 0, 264, 0, 17]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 14, 'label': '455.2.c.b', 'level': 455, 'maxp': 997, 'weight': 2}
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{'Nk2': 1820, 'analytic_conductor': 3.6331932919682575, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [455, 2, [92, 66, 106], [1, 2, 2]], 'conrey_index': 274, 'cusp_dim': 52, 'dim': 36, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508359, 'hecke_orbit_dims': [2, 14, 20], 'label': '455.2.c', 'level': 455, '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': True, 'level_primes': [5, 7, 13], 'level_radical': 455, 'mf_dim': 60, 'mf_new_dim': 36, 'num_forms': 3, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 112, 'trace_bound': 1, 'trace_display': [0, 0, 4, 0], 'traces': [36, 0, 0, -28, 4, -8, 0, 0, -44, -8, 16, 0, 0, 0, -12, 28, 0, 0, 16, 12, 8, 0, 0, -32, -18, 0, 0, 0, -4, -8, 8, 0, 0, 40, 2, 76, 0, 0, -16, 36, 0, 0, 0, -72, 32, -32, 0, 0, -36, -8, -64, 0, 0, 80, -28, -24, 0, 0, 40, -28, 0, 0, 0, 36, 2, 72, 0, 0, 8, -8, 40, 0, 0, -8, -52, -72, 0, 0, -12, -88, 4, 0, 0, -24, 28, 64, 0, 0, 32, -116, 8, 0, 0, -8, -46, 128, 0, 0, 8, 48, -8, 0, 0, 0, 16, -104, 0, 0, -24, -20, 88, 0, 0, 12, 16, 92, 0, 0, -32, 4, 20, 0, 0, 56, 52, -20, 0, 0, 24, 32, -8, 0, 0, 28, -4, -96, 0, 0, 32, -28, -56, 0, 0, -144, -20, 160, 0, 0, -48, 36, -8, 0, 0, 8, -30, 12, 0, 0, 32, -72, 32, 0, 0, -224, 64, 56, 0, 0, -36, -60, -24, 0, 0, -72, 0, -16, 0, 0, 68, -132, 56, 0, 0, 176, -12, 36, 0, 0, -32, -108, -16, 0, 0, 160, 20, 28, 0, 0, 24, 36, -48, 0, 0, 260, -32, 96, 0, 0, -16, 32, -52, 0, 0, -152, -84, -48, 0, 0, -104, 28, 24, 0, 0, 68, -22, 56, 0, 0, -40, -12, 0, 0, 0, 16, 58, -80, 0, 0, -96, 96, 8, 0, 0, -8, -4, -28, 0, 0, 48, -132, 112, 0, 0, -120, 212, -68, 0, 0, 16, -8, 68, 0, 0, -72, 112, 32, 0, 0, -112, 4, 32, 0, 0, -24, -4, 120, 0, 0, 96, 84, -56, 0, 0, 96, 16, -80, 0, 0, -4, -120, -88, 0, 0, 8, -60, 52, 0, 0, 8, -4, 0, 0, 0, 144, 48, -184, 0, 0, -192, -56, -56, 0, 0, -8, 18, 8, 0, 0, -136, 64, -208, 0, 0, 96, -16, 64, 0, 0, 20, -92, 0, 0, 0, 96, 136, 24, 0, 0, -56, 100, -144, 0, 0, -32, 24, 152, 0, 0, 32, 0, 64, 0, 0, -12, 40, -264, 0, 0, -144, 124, 48, 0, 0, -20, 102, -24, 0, 0, -192, 28, 8, 0, 0, 24, 204, -80, 0, 0, 64, 252, 80, 0, 0, -240, -36, -92, 0, 0, -48, -40, -32, 0, 0, 296, 60, 48, 0, 0, -16, -12, 296, 0, 0, -40, 72, -136, 0, 0, 16, 64, -104, 0, 0, 0, 42, -40, 0, 0, 0, 24, 216, 0, 0, 176, -12, -176, 0, 0, 16, -88, 120, 0, 0, 40, -132, -384, 0, 0, -32, 112, 44, 0, 0, 272, -126, -256, 0, 0, -24, 52, 80, 0, 0, 48, 0, -372, 0, 0, -112, 44, 112, 0, 0, -144, 4, -224, 0, 0, 8, 60, -160, 0, 0, 456, -92, 56, 0, 0, -120, -200, 0, 0, 0, 132, -26, -312, 0, 0, 192, 8, 0, 0, 0, -36, 64, -48, 0, 0, 96, -144, 264, 0, 0, 32, -16, 176, 0, 0, -112, -324, -4, 0, 0, 184, 16, -160, 0, 0, 80, -56, 40, 0, 0, -104, -72, -40, 0, 0, 24, 156, -232, 0, 0, 172, 44, 152, 0, 0, -16, 240, -112, 0, 0, 96, 12, 24, 0, 0, -136, 8, 32, 0, 0, 192, 208, 16, 0, 0, 8, 20, 80, 0, 0, 496, -112, 368, 0, 0, -108, -12, -220, 0, 0, -72, 10, -280, 0, 0, 192, -212, -12, 0, 0, -416, 18, 16, 0, 0, -92, -12, -176, 0, 0, 208, -24, 328, 0, 0, 172, -136, 72, 0, 0, -112, -200, 72, 0, 0, -72, 144, 60, 0, 0, -216, 32, 0, 0, 0, 128, -88, 304, 0, 0, 56, 2, -360, 0, 0, -72, 60, -256, 0, 0, 152, -180, 128, 0, 0, -288, 48, -92, 0, 0, -72, -76, 272, 0, 0, -208, -12, -80, 0, 0, 448, -8, 96, 0, 0, 228, -376, 24, 0, 0, -96, -32, -4, 0, 0, -176, 64, -32, 0, 0, -176, 244, 28, 0, 0, 60, 488, 56, 0, 0, -72, -20, 0, 0, 0, 24, -296, -80, 0, 0, -136, -32, 16, 0, 0, 296, 24, -28, 0, 0, -240, 264, 192, 0, 0, 288, 268, -84, 0, 0, -108, -24, -376, 0, 0, -256, 152, -40, 0, 0, -544, 162, 184, 0, 0, 4, 4, 112, 0, 0, -24, 12, -80, 0, 0, -208, -20, -40, 0, 0, -24, -200, -376, 0, 0, 56, -208, 84, 0, 0, 88, -204, 96, 0, 0, 248, 196, 40, 0, 0, 84, -200, 8, 0, 0, 104, 4, 112, 0, 0, -152, 80, 64, 0, 0, -64, 28, 32, 0, 0, -28, 192, -168, 0, 0, 144, 224, 136, 0, 0, -72, 80, 224, 0, 0, -136, 208, -136, 0, 0, 336, -62, 48, 0, 0, 156, 444, -192, 0, 0, -256, 120, -412, 0, 0, -40, 152, 360, 0, 0, -176, 28, -112, 0, 0, 40, 48, 256, 0, 0, -568, 202, -280, 0, 0, -48, -112, -48, 0, 0, -104, -4, 528, 0, 0, 240, 68, -16, 0, 0, 88, -226, 240, 0, 0, 264, 372, -88, 0, 0, 336, -84, 96, 0, 0, -80, 76, -16, 0, 0, -328, 28, 224, 0, 0, 88, -104, -552, 0, 0, -64, -292, -400, 0, 0, 56, -36, -272, 0, 0, -496, 380, -24, 0, 0, -232, -240, 168, 0, 0, 136, -148, 304, 0, 0, -328, 0, -116, 0, 0, -168, 144, -32, 0, 0, -128, -28, -256, 0, 0, 152, -184, -492, 0, 0, -8, -612, -16, 0, 0, 328, 72, -48, 0, 0, 112, -212, -152, 0, 0, 224, 12, 176, 0, 0, -4, 392, -432, 0, 0, 360, -52, 600, 0, 0, 80, -256, 128, 0, 0, -56, -184, -64, 0, 0, 184, -292, 96, 0, 0, 144, -28, 312, 0, 0, -200, -12, 488, 0, 0, -52, 12, -296, 0, 0, 244, 52, 208, 0, 0, -56, 152, 96, 0, 0, 112, 136], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 334789
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 14, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '455.2.c.b', 'source_level': 455, 'target_char_orbit': 3, 'target_dim': 14, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '455.2.c.b', 'target_level': 455, 'twist_class_label': '455.2.c.b', 'twist_class_level': 455, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 334790
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 14, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '455.2.c.b', 'source_level': 455, 'target_char_orbit': 3, 'target_dim': 14, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '455.2.c.b', 'target_level': 455, 'twist_class_label': '455.2.c.b', 'twist_class_level': 455, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 334791
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 14, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '455.2.c.b', 'source_level': 455, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '2275.2.a.w', 'target_level': 2275, 'twist_class_label': '455.2.c.b', 'twist_class_level': 455, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 334792
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 14, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '455.2.c.b', 'source_level': 455, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2275.2.a.y', 'target_level': 2275, 'twist_class_label': '455.2.c.b', 'twist_class_level': 455, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 917050
{'charpoly_factorization': [[[4, 0, 56, 0, 225, 0, 372, 0, 272, 0, 96, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 2}
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id: 917051
{'charpoly_factorization': [[[64, 0, 1092, 0, 2304, 0, 1957, 0, 838, 0, 191, 0, 22, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 3}
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id: 917052
{'charpoly_factorization': [[[78125, -31250, 12500, -10000, -250, 50, 205, 256, 41, 2, -2, -16, 4, -2, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 5}
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id: 917053
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 4503737099878855, 'p': 7}
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id: 917054
{'charpoly_factorization': [[[-512, -96, 416, 72, -96, -14, 6, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 11}
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id: 917055
{'charpoly_factorization': [[[1, 0, 1], 7]], 'hecke_orbit_code': 4503737099878855, 'p': 13}
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id: 917056
{'charpoly_factorization': [[[16, 0, 740, 0, 10308, 0, 46357, 0, 31874, 0, 3047, 0, 98, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 17}
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id: 917057
{'charpoly_factorization': [[[-15782, 17853, -3944, -1484, 622, -32, -10, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 19}
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id: 917058
{'charpoly_factorization': [[[164660224, 0, 517903104, 0, 234860096, 0, 23944720, 0, 1050028, 0, 22817, 0, 242, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 23}
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id: 917059
{'charpoly_factorization': [[[-302, -1435, 32, 1848, -1094, 252, -26, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 29}
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id: 917060
{'charpoly_factorization': [[[-43898, -21175, 7912, 2728, -390, -100, 6, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 31}
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id: 917061
{'charpoly_factorization': [[[880190224, 0, 1138266212, 0, 255095508, 0, 23506717, 0, 1063922, 0, 24503, 0, 266, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 37}
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id: 917062
{'charpoly_factorization': [[[-46208, -114608, -86840, -20771, -1188, 193, 28, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 41}
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id: 917063
{'charpoly_factorization': [[[503194624, 0, 566611712, 0, 217389632, 0, 32738704, 0, 1624220, 0, 33713, 0, 306, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 43}
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id: 917064
{'charpoly_factorization': [[[4194304, 0, 39124992, 0, 91541504, 0, 62159360, 0, 2981312, 0, 51857, 0, 382, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 47}
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id: 917065
{'charpoly_factorization': [[[9130184704, 0, 11854545152, 0, 1892278016, 0, 110478816, 0, 3120960, 0, 46105, 0, 342, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 53}
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id: 917066
{'charpoly_factorization': [[[-54848, -279376, 205626, -48419, 3840, 103, -28, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 59}
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id: 917067
{'charpoly_factorization': [[[-1967744, 433856, 140480, -13504, -3488, 24, 26, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 61}
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id: 917068
{'charpoly_factorization': [[[386306999296, 0, 2198771411856, 0, 138811544904, 0, 3298755089, 0, 38925902, 0, 244491, 0, 782, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 67}
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id: 917069
{'charpoly_factorization': [[[794624, 813568, 225152, 2272, -4648, -282, 14, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 71}
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id: 917070
{'charpoly_factorization': [[[219513856, 0, 4594401024, 0, 1813486144, 0, 141596432, 0, 4510364, 0, 67233, 0, 450, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 73}
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id: 917071
{'charpoly_factorization': [[[436112, -225679, -20586, 24094, -2130, -262, 14, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 79}
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id: 917072
{'charpoly_factorization': [[[872023734882304, 0, 64238329872640, 0, 1639450435840, 0, 20581256544, 0, 142893472, 0, 560641, 0, 1166, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 83}
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id: 917073
{'charpoly_factorization': [[[-32188, 941401, -138682, -35138, 5642, 26, -30, 1], 2]], 'hecke_orbit_code': 4503737099878855, 'p': 89}
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id: 917074
{'charpoly_factorization': [[[1297995375616, 0, 344089335040, 0, 27226980480, 0, 980082080, 0, 17901044, 0, 164369, 0, 682, 0, 1], 1]], 'hecke_orbit_code': 4503737099878855, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '455.2.c.b', 'level': 455, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 20953447
{'hecke_orbit_code': 4503737099878855, 'n': 1, 'trace_an': 14}
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id: 20953448
{'hecke_orbit_code': 4503737099878855, 'n': 2, 'trace_an': 0}
-
id: 20953449
{'hecke_orbit_code': 4503737099878855, 'n': 3, 'trace_an': 0}
-
id: 20953450
{'hecke_orbit_code': 4503737099878855, 'n': 4, 'trace_an': -4}
-
id: 20953451
{'hecke_orbit_code': 4503737099878855, 'n': 5, 'trace_an': 2}
-
id: 20953452
{'hecke_orbit_code': 4503737099878855, 'n': 6, 'trace_an': -16}
-
id: 20953453
{'hecke_orbit_code': 4503737099878855, 'n': 7, 'trace_an': 0}
-
id: 20953454
{'hecke_orbit_code': 4503737099878855, 'n': 8, 'trace_an': 0}
-
id: 20953455
{'hecke_orbit_code': 4503737099878855, 'n': 9, 'trace_an': -2}
-
id: 20953456
{'hecke_orbit_code': 4503737099878855, 'n': 10, 'trace_an': -4}
-
id: 20953457
{'hecke_orbit_code': 4503737099878855, 'n': 11, 'trace_an': -12}
-
id: 20953458
{'hecke_orbit_code': 4503737099878855, 'n': 12, 'trace_an': 0}
-
id: 20953459
{'hecke_orbit_code': 4503737099878855, 'n': 13, 'trace_an': 0}
-
id: 20953460
{'hecke_orbit_code': 4503737099878855, 'n': 14, 'trace_an': 0}
-
id: 20953461
{'hecke_orbit_code': 4503737099878855, 'n': 15, 'trace_an': -6}
-
id: 20953462
{'hecke_orbit_code': 4503737099878855, 'n': 16, 'trace_an': -8}
-
id: 20953463
{'hecke_orbit_code': 4503737099878855, 'n': 17, 'trace_an': 0}
-
id: 20953464
{'hecke_orbit_code': 4503737099878855, 'n': 18, 'trace_an': 0}
-
id: 20953465
{'hecke_orbit_code': 4503737099878855, 'n': 19, 'trace_an': 20}
-
id: 20953466
{'hecke_orbit_code': 4503737099878855, 'n': 20, 'trace_an': 6}
-
id: 20953467
{'hecke_orbit_code': 4503737099878855, 'n': 21, 'trace_an': -4}
-
id: 20953468
{'hecke_orbit_code': 4503737099878855, 'n': 22, 'trace_an': 0}
-
id: 20953469
{'hecke_orbit_code': 4503737099878855, 'n': 23, 'trace_an': 0}
-
id: 20953470
{'hecke_orbit_code': 4503737099878855, 'n': 24, 'trace_an': 10}
-
id: 20953471
{'hecke_orbit_code': 4503737099878855, 'n': 25, 'trace_an': -4}
-
id: 20953472
{'hecke_orbit_code': 4503737099878855, 'n': 26, 'trace_an': 0}
-
id: 20953473
{'hecke_orbit_code': 4503737099878855, 'n': 27, 'trace_an': 0}
-
id: 20953474
{'hecke_orbit_code': 4503737099878855, 'n': 28, 'trace_an': 0}
-
id: 20953475
{'hecke_orbit_code': 4503737099878855, 'n': 29, 'trace_an': 52}
-
id: 20953476
{'hecke_orbit_code': 4503737099878855, 'n': 30, 'trace_an': 28}
-
id: 20953477
{'hecke_orbit_code': 4503737099878855, 'n': 31, 'trace_an': -12}
-
id: 20953478
{'hecke_orbit_code': 4503737099878855, 'n': 32, 'trace_an': 0}
-
id: 20953479
{'hecke_orbit_code': 4503737099878855, 'n': 33, 'trace_an': 0}
-
id: 20953480
{'hecke_orbit_code': 4503737099878855, 'n': 34, 'trace_an': 2}
-
id: 20953481
{'hecke_orbit_code': 4503737099878855, 'n': 35, 'trace_an': 2}
-
id: 20953482
{'hecke_orbit_code': 4503737099878855, 'n': 36, 'trace_an': -12}
-
id: 20953483
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