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mf_newforms • Show schema
Hide schema
{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'cm_discs': [], 'conrey_index': 197, 'conrey_indexes': [197, 589], 'dim': 12, 'field_disc': 20138089353117696, 'field_disc_factorization': [[2, 16], [3, 2], [184777, 2]], 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 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': [[3, [64, 192, 288, 144, 164, 376, 552, 288, 76, 4, 8, 4, 1]], [5, [2304, -4608, 4608, 3072, 1828, -1288, 968, 504, 140, -12, 8, 4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526022058869520, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 16, 5, 1, 4, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '784.2.m.h', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.m.d', 'nf_label': '12.0.20138089353117696.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{2}q^{2}+(\\beta _{2}-\\beta _{10})q^{3}+\\beta _{1}q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '784.2.m', 'trace_display': [2, -4, -4, 0], 'trace_hash': 589373940997587757, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.471', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.836', 'prec': 17}, {'__RealLiteral__': 0, 'data': '466.411', 'prec': 24}, {'__RealLiteral__': 0, 'data': '679.362', 'prec': 24}, {'__RealLiteral__': 0, 'data': '41312.710', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.258', 'prec': 17}, 'traces': [12, 2, -4, -6, -4, -4, 0, -4, 0, 4, 0, -8, 0, 0, -24, 10, 8, 0, 0, 20, 0, 14, 0, 8, 0, 20, -4, 0, -4, -28, 8, 12, 0, -8, 0, -16, -20, -16, 0, 8, 0, 0, 16, 14, -40, -28, -16, -16, 0, 44, -16, 16, 4, -64, 0, 0, 0, 14, 16, 60, 20, -8, 0, -18, 32, -12, 24, 28, 4, 0, 0, 6, 0, -38, 40, -48, 0, -76, 24, -24, -44, 16, 20, 0, -8, 38, 0, -14, 0, 40, 0, 32, -48, 24, 0, 16, -48, 0, 32, -32, 56, 12, 0, 100, 0, 42, 48, -20, 28, 16, -24, 0, -32, -44, -20, -54, -68, 28, 0, 4, 0, 36, 16, 16, 28, 0, -48, 16, -8, 12, -4, 60, 0, 22, 0, -20, 0, -36, 40, 0, 40, -60, -40, 64, 32, -60, 0, -6, 52, 36, 0, -36, 0, 0, 24, 12, 64, 16, 8, -124, 0, -34, -48, -12, -56, -48, 0, 0, 0, 12, -76, 26, -24, -120, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 0, 1, 0, 0, -1, 0, 0], [1, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, -1], [1, 1, -1, 1, -1, -1, 0, 1, 1, 0, 0, 1], [1, 1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0], [-2, -2, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0], [-2, -1, -1, -1, 1, 0, 0, 1, 0, 0, 2, 0], [-1, 0, -1, -2, 1, 1, 0, 0, 2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 0, 0, -1, 0, -1, -1, -1, 1, 1], [1, 0, 1, -1, 1, 0, 1, 0, 0, 0, -2, -1], [0, 0, -1, 1, 0, 1, -1, 0, 0, -1, 1, 0], [-2, -1, -1, -2, 1, 0, 0, 1, 0, -2, 2, 0], [0, 0, -2, 1, 0, -1, -1, 2, 0, 1, 2, 0], [2, 0, 1, 3, 0, -1, 1, 0, -1, 2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 1], [-1, -1, 0, 0, 0, 0, -1, -1, 1, -1, 1, 1], [0, -1, 0, 0, 3, 1, -1, -1, -1, 0, 0, -1], [1, 1, -1, 1, 1, 0, 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8, -4, 0, 2, 0, 1, 0, 0, -3, -3, 2], [5, 0, 8, -1, -5, 1, 4, 0, -8, 4, -3, 0], [-8, 2, -8, 6, 0, 2, -4, -2, -4, -6, 8, 4], [1, 1, -2, -6, 0, 4, -3, 1, -1, 3, 1, -1], [-14, -2, -2, 2, 0, 2, -4, 2, 2, 0, 0, -2], [-3, -6, -4, -4, 3, 3, -3, 0, 0, -6, 4, 2], [4, 4, -6, 2, 0, 4, 1, 0, 0, -5, -1, 2], [6, 2, 5, -3, 0, 4, 2, -2, 6, -1, -7, -6], [-3, -4, -4, -4, 1, 8, 0, 0, 0, -8, 0, -4], [-1, 0, -6, -1, 1, -1, 4, 0, -4, 2, 5, 0], [-3, 1, 7, 3, 0, -2, 3, -1, -1, 6, -6, 1], [2, 2, 7, -7, -4, 1, -3, 2, -4, 3, -3, -4], [0, 0, 1, 4, 0, 2, -2, -8, 0, -4, 3, 0], [-3, -2, 0, -12, -1, 3, -1, 0, 0, -8, -2, -6], [-11, -3, 2, 2, 0, -4, -1, 3, -1, 7, -3, 1], [4, -4, -7, -3, 0, -3, -5, 4, 2, 1, 1, -2], [2, 2, -6, 6, -8, -2, 4, 2, 2, 0, 0, 2], [-8, 0, 10, 0, -8, 2, 9, 0, 0, -5, -3, -6], [-4, 0, 6, -2, 0, 5, 3, 0, 2, -2, 0, -2], [-3, -3, -7, -5, 8, 6, -1, -3, 3, -4, 2, 3], [1, 0, -12, 7, -1, -7, -4, 8, 0, 4, 9, 0], [-8, -4, 2, -6, 0, -1, -1, 4, 6, 4, -6, -6], [-12, 0, 4, -5, 12, 3, 3, -2, 0, -1, -4, 0], [2, -6, 5, -1, 0, 0, 2, 6, -4, 3, 7, 4], [-5, -5, 8, 0, 0, -2, 5, -5, 1, -13, -7, 1], [14, 4, -6, 12, 10, -2, -3, 0, 0, 11, 1, 6], [-2, 0, -2, 0, 2, 0, 1, 2, -4, 3, 5, 0], [-6, -6, 6, -2, 4, 4, 2, -6, -6, 0, 0, -6], [-5, 0, 4, 1, 5, 1, 2, -4, -4, 0, -1, 0], [-6, -6, -7, -7, 20, 9, -3, -6, 2, -3, 5, 2], [22, 10, -1, 4, 12, -3, 1, 0, 0, 6, -5, 0], [-5, 0, -6, -2, 5, 1, -1, 6, -2, 4, 10, 0], [-4, 0, 14, -2, 4, 8, -7, -2, 4, -3, -3, 0], [-7, 0, -4, -2, 7, 0, -4, 8, 4, 2, 4, 0], [0, 0, 2, 3, 0, -3, -5, 10, 0, 5, 0, 0], [3, 3, -3, -1, 16, -2, -7, 3, 5, 2, 4, 5], [0, -4, -2, 2, 4, 0, -1, 0, 0, -3, 5, 6], [0, 6, -6, -4, 0, -2, 0, -6, 4, -4, -6, -4], [10, 2, 7, -4, 8, -5, 5, 0, 0, -8, 1, 4], [-6, -4, 2, -8, 0, 10, 2, 4, 2, -10, 12, -2], [2, 2, 4, 4, -16, -2, 4, 2, -6, 6, -2, -6], [0, 0, 8, -6, 6, -2, -4, 0, 2, -6, -4, 2], [2, 2, -6, 4, 0, 0, -2, -2, -4, -4, 6, 4], [9, 10, -4, 2, -1, -11, -5, 0, 0, 8, 0, 10], [-3, -3, -13, 5, 2, 5, -2, -3, 1, 8, 12, 1], [-28, -12, 2, -11, -16, 4, -4, 0, 0, -3, 2, -8], [-6, -6, -2, 2, 0, 2, 0, -6, 2, -4, 4, 2], [-5, -1, -3, 1, 0, -2, 1, 1, -7, -2, 10, 7], [-12, 0, 2, -9, 12, 7, -3, 2, 8, -3, 0, 0], [12, 12, -7, -1, 12, -4, -12, 12, 4, 15, 7, 4], [1, 0, -6, 0, -1, -5, -3, 14, 2, 6, 2, 0], [-4, 0, -10, -10, 4, 2, 1, 6, 8, -1, 3, 0], [-7, -4, 0, -3, -3, 0, -3, 0, 0, 2, 1, -2], [0, 2, -2, 6, 0, -8, -2, -2, -2, 8, -8, 2], [-13, -4, 1, 2, -9, 2, 1, 0, 0, -1, 2, 0], [0, 10, 12, 2, -10, -7, 10, 0, 0, -1, -5, 0], [8, 0, -1, -2, -8, -4, 10, -8, 0, -4, -13, 0], [-1, 0, -4, -2, 1, -1, 3, -2, 2, -2, -2, 0], [5, -4, -2, 18, 9, 2, 0, 0, 0, 12, 4, 4], [-2, 2, 5, -7, 0, -4, 6, -2, 2, 3, -7, -2], [8, 8, -7, 5, 20, -4, -4, 8, 2, 11, 5, 2], [7, 0, -8, 11, -7, -9, -10, 16, 0, 8, 9, 0], [-2, 0, -8, 4, 2, -6, 5, -6, 0, -3, -3, 0], [1, 1, -14, -6, 16, 6, -5, 1, 7, -1, 5, 7], [13, 1, -2, -2, 0, -2, 1, -1, -1, -1, 1, 1], [3, 6, 8, 6, -3, -3, 5, 0, 0, 10, -6, -6], [-4, -4, -1, -3, 4, 3, 1, -4, 2, -7, -1, 2], [-6, -10, -7, -5, 0, -5, -5, 10, -2, 3, 9, 2], [-13, 0, -9, -2, -13, 2, -5, 0, 0, -3, 2, 4], [-24, 0, 2, -1, 24, 3, -1, -2, 0, -1, 2, 0], [-11, 0, 13, -10, 11, 7, 4, -8, 6, -7, -16, 0], [-11, -11, 9, -1, 0, 2, -5, -11, -1, -4, 6, -1], [-4, 4, -4, -3, -8, 2, -2, 0, 0, 1, -4, -4], [-11, -2, 6, -18, -9, -3, -1, 0, 0, -8, -2, -6], [-2, -2, 6, -8, -6, 7, 1, -2, -10, 6, -2, -10], [4, 2, 8, -14, 2, -7, 0, 0, 0, -3, -3, -4], [5, 0, 2, 11, -5, -3, -6, -4, 0, -2, 1, 0], [-8, -8, -11, -1, 20, 8, -4, -8, 4, -1, 11, 4], [15, 12, -10, 7, 3, -4, -3, 0, 0, 4, -1, 10], [-2, -2, -1, 3, -12, -3, 1, -2, 6, -9, -1, 6], [0, 0, -10, -9, 0, 4, -6, 0, 0, -7, 0, 0], [-6, 10, 4, 4, 0, 5, 3, -10, 4, -4, -10, -4], [-11, 0, -4, 0, 11, 0, 8, -12, -4, -4, 0, 0], [16, 6, 6, 4, 0, -2, 4, -6, 0, 4, -10, 0], [-8, 0, 2, 12, 8, -6, -5, -6, 4, -5, -7, 0], [-4, -4, 11, -9, -12, 2, -2, -4, -2, -7, -5, -2], [-14, 4, 6, 4, -18, -2, 3, 0, 0, 9, -5, -6], [1, 5, 0, 12, 0, -6, 1, -5, -9, 5, -1, 9], [4, 4, -10, 4, 14, -1, 3, 4, 4, 0, 0, 4], [12, 8, -1, 11, 0, -7, -1, -8, -2, 7, -13, 2], [-14, -14, 4, -2, 10, 4, -8, -14, 4, -8, 10, 4], [9, 0, 5, 8, -9, 1, -4, -8, -2, -3, 2, 0], [-4, 0, 6, -2, 4, 6, 5, -10, -8, -1, 3, 0], [-4, -4, 4, -16, 16, 8, -4, -4, 0, -8, -4, 0], [5, 5, 4, -8, 8, 2, 3, 5, -5, 1, -9, -5], [-6, -10, 3, 4, 4, 1, 1, 0, 0, -2, 7, 4], [-4, 4, 12, 4, 0, 5, 7, -4, -2, 0, -2, 2], [4, 4, -7, 3, -16, 2, 6, 4, -4, 7, -1, -4], [6, 0, 6, 16, 0, 4, -2, 0, -6, 4, 2, 6], [-9, -8, -1, -10, -1, 8, -3, 0, 0, -3, -2, -12]], 'char_orbit_index': 13, 'field_poly': [64, 0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], 'hecke_orbit_code': 31526022058869520, 'hecke_ring_character_values': [[687, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [197, [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]], [689, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 16, 128, 32, 128, 64, 64, 16, 128, 64, 128, 32], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, -1, -1, 2, 0, 2, 0, 0], [2, 0, -4, 0, 2, -1, -1, 0, 0, 0, 2, 2], [2, 0, 0, 0, -2, -1, -1, 0, 2, 2, 0, 0], [2, 2, 0, 0, 4, 1, 1, 2, 0, 2, 4, 2], [10, 6, -4, 4, 4, -5, -1, 2, 4, 2, -4, 2], [-2, 2, -4, 12, 0, -7, -3, 2, -4, 10, 8, 2], [-6, -2, -4, 4, 8, 3, -9, 6, 8, 2, 4, 10], [-2, 14, -12, -4, 20, 5, -7, -10, 4, 6, 4, 2], [10, 10, 20, 28, -12, 3, -1, -6, 4, -6, 4, 6], [-58, 6, 12, 20, 52, 5, 17, -2, 4, 6, -4, -6]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1, 0], [96, 272, 144, -32, -52, -34, -32, -10, 12, 15, 10, -1], [0, -48, -16, 8, 8, 2, 4, 2, -2, -3, 0, 1], [32, 48, 112, 64, -12, -22, -16, -14, -4, 5, 6, 5], [160, -80, -144, -96, -12, 26, 16, 18, 12, -3, -10, -3], [160, 48, -144, -96, -12, 26, 16, 18, 12, -3, -10, -3], [-64, -48, 16, 24, 10, 6, 2, -4, -5, -3, 1, 1], [-480, -336, 112, 256, 196, 26, 0, -46, -44, -19, 14, 13], [352, 176, -144, -192, -52, 2, 8, 34, 32, 9, -14, -7], [-672, -368, 272, 384, 172, 30, -32, -58, -68, -17, 26, 15], [256, 208, -96, -144, -72, -6, 4, 22, 30, 9, -8, -7]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '784.2.m.h', 'level': 784, 'maxp': 997, 'weight': 2}
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': 1, 'char_values': [784, 4, [687, 197, 689], [4, 1, 4]], 'conrey_index': 197, 'cusp_dim': 208, 'dim': 154, 'eis_dim': 32, 'eis_new_dim': 20, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 824667276048, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 8, 12, 20, 24, 24, 48], 'label': '784.2.m', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 240, 'mf_new_dim': 174, 'num_forms': 12, 'prim_orbit_index': 5, 'relative_dim': 77, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [154, 2, 2, 0, 2, 8, 0, -16, 0, -8, -2, 0, 2, 0, -12, 16, 4, 22, 10, 24, 0, -28, 0, 24, 0, 8, -16, 0, -18, 48, 16, -8, 4, -16, 0, 12, -6, 12, 0, -12, 0, 0, 10, 32, -2, 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-52, -174, 304, 216, -172, 0, 0, 0, -440, 352, 280, -100, -84, 0, -216, -14, 140, -82, -168, -100, 0, 0, 308, 0, 532, -162, -64, 0, 140, 276, 92, 4, 168, 48, 0, 94, -188, 0, 72, 0, 156, 0, 168, -52, 92, -712, 20, 196, 0, -288, 32, 90, 116, 0, 96], 'weight': 2, 'weight_parity': 1}
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id: 498778
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 498779
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '112.2.m.d', 'target_level': 112, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 498780
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 498781
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '448.2.m.d', 'target_level': 448, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498782
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 498783
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.m.h', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 498784
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 498785
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '784.2.x.l', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 498786
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 498787
{'conductor': 112, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 24, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '784.2.x.m', 'target_level': 784, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 498788
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 498789
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '896.2.m.g', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 498790
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 498791
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '896.2.m.h', 'target_level': 896, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 498792
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7168.2.a.bi', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '224.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 498793
{'conductor': 224, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 13, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '784.2.m.h', 'source_level': 784, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7168.2.a.bj', 'target_level': 7168, 'twist_class_label': '112.2.m.d', 'twist_class_level': 112, 'twisting_char_label': '224.v', 'twisting_char_orbit': 22, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1325875
{'charpoly_factorization': [[[64, -64, 80, -48, 24, -8, 2, -4, 6, -6, 5, -2, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 2}
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id: 1325876
{'charpoly_factorization': [[[64, 192, 288, 144, 164, 376, 552, 288, 76, 4, 8, 4, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 3}
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id: 1325877
{'charpoly_factorization': [[[2304, -4608, 4608, 3072, 1828, -1288, 968, 504, 140, -12, 8, 4, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 5}
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id: 1325878
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31526022058869520, 'p': 7}
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id: 1325879
{'charpoly_factorization': [[[541696, -235520, 51200, 89088, 67968, 896, 512, 896, 740, 32, 0, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 11}
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id: 1325880
{'charpoly_factorization': [[[3211264, -458752, 32768, 216576, 297732, 28456, 200, -1376, 1724, -20, 0, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 13}
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id: 1325881
{'charpoly_factorization': [[[-96, -288, 40, 200, -44, -4, 1], 2]], 'hecke_orbit_code': 31526022058869520, 'p': 17}
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id: 1325882
{'charpoly_factorization': [[[2849344, -1417920, 352800, 565552, 466212, -9016, 2888, 4024, 2444, 76, 0, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 19}
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id: 1325883
{'charpoly_factorization': [[[10137856, 0, 9219456, 0, 2044688, 0, 175744, 0, 7096, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 23}
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id: 1325884
{'charpoly_factorization': [[[8620096, -610688, 21632, 13888, 995888, -68544, 2368, 928, 3084, -216, 8, 4, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 29}
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id: 1325885
{'charpoly_factorization': [[[64, -96, -24, 72, -16, -4, 1], 2]], 'hecke_orbit_code': 31526022058869520, 'p': 31}
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id: 1325886
{'charpoly_factorization': [[[5053504, -1834368, 332928, 2835776, 2719280, 1060672, 231488, 24992, 3532, 936, 200, 20, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 37}
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id: 1325887
{'charpoly_factorization': [[[25600, 0, 392704, 0, 345920, 0, 68544, 0, 4704, 0, 120, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 41}
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id: 1325888
{'charpoly_factorization': [[[23040000, -56217600, 68585472, -49373184, 22906624, -6805376, 1318400, -158208, 11780, -768, 128, -16, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 43}
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id: 1325889
{'charpoly_factorization': [[[19776, 8928, -1208, -1032, -104, 8, 1], 2]], 'hecke_orbit_code': 31526022058869520, 'p': 47}
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id: 1325890
{'charpoly_factorization': [[[78400, -1518720, 14709888, 25960896, 22600496, 2979008, 115008, -59808, 19372, 248, 8, -4, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 53}
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id: 1325891
{'charpoly_factorization': [[[119596096, 122045760, 62272800, 4793520, -899932, -218536, 341640, -36840, 1996, -124, 128, -16, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 59}
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id: 1325892
{'charpoly_factorization': [[[256, -47872, 4476032, 1728352, 339748, -568008, 269832, -34632, 2188, -172, 200, -20, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 61}
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id: 1325893
{'charpoly_factorization': [[[3686400, 5898240, 4718592, 1548288, 150016, -66560, 26624, 9344, 1124, -1072, 288, -24, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 67}
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id: 1325894
{'charpoly_factorization': [[[6553600, 0, 18743296, 0, 15382784, 0, 2931456, 0, 60960, 0, 432, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 71}
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id: 1325895
{'charpoly_factorization': [[[3050573824, 0, 6278768640, 0, 473632512, 0, 12430080, 0, 134384, 0, 616, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 73}
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id: 1325896
{'charpoly_factorization': [[[-2240, -3392, -112, 576, -44, -12, 1], 2]], 'hecke_orbit_code': 31526022058869520, 'p': 79}
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id: 1325897
{'charpoly_factorization': [[[320093429824, -132738225088, 27522333728, -2610661520, 208394468, -33954632, 6808488, -656608, 34732, -1116, 200, -20, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 83}
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id: 1325898
{'charpoly_factorization': [[[35476475904, 0, 6091352064, 0, 338121472, 0, 8448256, 0, 101680, 0, 552, 0, 1], 1]], 'hecke_orbit_code': 31526022058869520, 'p': 89}
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id: 1325899
{'charpoly_factorization': [[[-39008, 11104, 8168, -2568, -60, 24, 1], 2]], 'hecke_orbit_code': 31526022058869520, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 8, 'label': '784.2.m.h', 'level': 784, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194371000
{'hecke_orbit_code': 31526022058869520, 'n': 1, 'trace_an': 12}
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id: 194371001
{'hecke_orbit_code': 31526022058869520, 'n': 2, 'trace_an': 2}
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id: 194371002
{'hecke_orbit_code': 31526022058869520, 'n': 3, 'trace_an': -4}
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id: 194371003
{'hecke_orbit_code': 31526022058869520, 'n': 4, 'trace_an': -6}
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id: 194371004
{'hecke_orbit_code': 31526022058869520, 'n': 5, 'trace_an': -4}
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id: 194371005
{'hecke_orbit_code': 31526022058869520, 'n': 6, 'trace_an': -4}
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id: 194371006
{'hecke_orbit_code': 31526022058869520, 'n': 7, 'trace_an': 0}
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id: 194371007
{'hecke_orbit_code': 31526022058869520, 'n': 8, 'trace_an': -4}
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id: 194371008
{'hecke_orbit_code': 31526022058869520, 'n': 9, 'trace_an': 0}
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id: 194371009
{'hecke_orbit_code': 31526022058869520, 'n': 10, 'trace_an': 4}
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id: 194371010
{'hecke_orbit_code': 31526022058869520, 'n': 11, 'trace_an': 0}
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id: 194371011
{'hecke_orbit_code': 31526022058869520, 'n': 12, 'trace_an': -8}
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id: 194371012
{'hecke_orbit_code': 31526022058869520, 'n': 13, 'trace_an': 0}
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id: 194371013
{'hecke_orbit_code': 31526022058869520, 'n': 14, 'trace_an': 0}
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id: 194371014
{'hecke_orbit_code': 31526022058869520, 'n': 15, 'trace_an': -24}
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id: 194371015
{'hecke_orbit_code': 31526022058869520, 'n': 16, 'trace_an': 10}
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id: 194371016
{'hecke_orbit_code': 31526022058869520, 'n': 17, 'trace_an': 8}
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id: 194371017
{'hecke_orbit_code': 31526022058869520, 'n': 18, 'trace_an': 0}
-
id: 194371018
{'hecke_orbit_code': 31526022058869520, 'n': 19, 'trace_an': 0}
-
id: 194371019
{'hecke_orbit_code': 31526022058869520, 'n': 20, 'trace_an': 20}
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id: 194371020
{'hecke_orbit_code': 31526022058869520, 'n': 21, 'trace_an': 0}
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id: 194371021
{'hecke_orbit_code': 31526022058869520, 'n': 22, 'trace_an': 14}
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id: 194371022
{'hecke_orbit_code': 31526022058869520, 'n': 23, 'trace_an': 0}
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id: 194371023
{'hecke_orbit_code': 31526022058869520, 'n': 24, 'trace_an': 8}
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id: 194371024
{'hecke_orbit_code': 31526022058869520, 'n': 25, 'trace_an': 0}
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id: 194371025
{'hecke_orbit_code': 31526022058869520, 'n': 26, 'trace_an': 20}
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id: 194371026
{'hecke_orbit_code': 31526022058869520, 'n': 27, 'trace_an': -4}
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id: 194371027
{'hecke_orbit_code': 31526022058869520, 'n': 28, 'trace_an': 0}
-
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