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mf_newforms • Show schema
Hide schema
{'Nk2': 192, 'analytic_conductor': 0.38328192970214586, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 16, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [48, 4, [31, 37, 17], [4, 3, 4]], 'cm_discs': [], 'conrey_index': 13, 'conrey_indexes': [13, 37], 'dim': 8, 'field_disc': 18939904, 'field_disc_factorization': [[2, 16], [17, 2]], 'field_poly': [2, -12, 30, -44, 43, -28, 14, -4, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 618508845104, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': True, 'label': '48.2.j.a', 'level': 48, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '48.2.j.a', 'nf_label': '8.0.18939904.2', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{4}+\\beta _{5})q^{2}-\\beta _{5}q^{3}+(-1+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '48.2.j', 'trace_display': [0, 0, 0, 0], 'trace_hash': 918846768794874347, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.155', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.579', 'prec': 17}, {'__RealLiteral__': 0, 'data': '217.651', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0], [-1, 0, 1, -1, 0, 0, -1, -1], [1, 1, -1, -1, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 1], [-1, -1, 1, 1, 1, -1, 1, 2], [-1, 0, -1, 0, 1, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 1, -1, 1, -1, -1, 1, -1], [-2, -2, 0, 0, -2, 0, 0, -2], [0, -1, 1, 0, 0, 0, 1, 0], [1, 0, -2, 2, 0, 2, 0, 1], [1, 0, 1, 0, 1, 1, 3, 2], [-1, 1, 1, -1, 1, 0, 0, 0], [0, -1, -1, -1, 1, -3, 1, -1], [0, 2, 2, 0, 0, 0, 0, 0], [1, 0, -1, 0, 0, 0, -1, 0], [0, 2, 0, 0, -2, 2, 0, 0], [2, 0, 0, 2, 0, -2, -2, 0], [0, -1, -1, -1, -1, 0, -2, -1], [0, 0, 0, -2, 2, -2, -4, 2], [0, 0, 0, 0, 0, 2, -2, 0], [1, 1, 0, -1, 0, 2, 0, 1], [-2, -2, 2, -2, -2, 2, -2, -1], [1, -2, 1, -2, -1, -3, 1, -2], [0, 0, 0, 0, 0, 0, 1, 0], [2, 3, 1, -1, -1, 3, 3, -1], [-3, -1, 1, -1, 1, -4, 0, 2], [0, 1, -1, 1, 1, 1, 1, -1], [3, -1, -1, -1, 1, -1, -1, 0], [2, 2, -2, 2, 0, -2, 0, 4], [0, 0, 0, 2, -2, 2, 2, 0], [0, 0, 0, 2, 0, 4, 0, -2], [4, 0, -2, 2, 0, 0, 0, -2], 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-16, 16, 14], [12, -10, -10, 14, -14, 10, 10, 0], [-25, 1, 3, 3, 1, 0, -4, -22], [12, -2, -8, 8, 2, 6, 0, -4], [-15, 5, 19, -19, -5, 8, 0, -4], [16, 16, -16, 6, 6, 4, -4, 14], [2, 8, 10, 10, 8, 0, 18, 12], [-1, 1, 11, 11, 1, 0, 4, 10], [15, 15, -15, 1, 1, -5, 5, 26], [-8, 0, 4, 4, 0, 0, -12, -4], [-15, 8, 6, -6, -8, 26, 0, 9], [-10, -10, 10, -14, -14, 6, -6, -28], [7, -12, -2, -2, -12, 0, -18, 5], [-4, -4, 4, -10, -10, -4, 4, -18], [-10, -4, -2, -2, -4, 0, -34, -12], [-6, 2, 2, 18, -18, 0, 0, 0], [17, 2, 12, -12, -2, 10, 0, -29], [-2, 0, 0, -20, 20, -8, -8, 0], [-4, 2, -12, 12, -2, 10, 0, 16], [-8, -8, 8, 8, 8, -12, 12, 0], [10, -4, 2, 2, -4, 0, 34, 12], [-2, -10, -10, 14, -14, -4, -4, 0], [11, 11, -11, 5, 5, 3, -3, -14], [8, 2, 2, -4, 4, 0, 0, 0], [16, 16, -16, 16, 16, 0, 0, 6], [-7, 5, -9, 9, -5, 16, 0, 16], [-12, -16, 4, -4, 16, -24, 0, 8], [4, 4, -4, 2, 2, -8, 8, -6], [-1, -1, 1, 1, 1, 7, -7, -22], [6, -6, 4, 4, -6, 0, -4, 10], [16, 6, 6, -12, 12, 0, 0, 0], [-4, -4, 4, 12, 12, -8, 8, 24], [5, 5, 5, -19, 19, -3, -3, 0], [9, 16, -14, -14, 16, 0, -18, -5]], 'char_orbit_index': 10, 'field_poly': [2, -12, 30, -44, 43, -28, 14, -4, 1], 'hecke_orbit_code': 618508845104, 'hecke_ring_character_values': [[31, [1, 0, 0, 0, 0, 0, 0, 0]], [37, [0, 0, 0, 0, 0, 0, 0, 1]], [17, [1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, -1, -1, -1, 1, -1], [-4, -1, 1, 1, -3, 1, 3, -1], [-2, 3, -3, 5, -1, 7, -1, 5], [14, 9, -5, -1, 11, 3, -15, 11], [18, -3, 13, -23, 17, -29, -11, -13], [-48, -47, 37, -15, -29, -41, 59, -67], [-122, -39, -31, 91, -105, 97, 113, -7]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [-5, 24, -48, 59, -42, 24, -7, 2], [8, -29, 54, -61, 43, -24, 7, -2], [11, -42, 73, -87, 60, -35, 10, -3], [13, -53, 91, -102, 70, -38, 11, -3], [-19, 77, -133, 155, -105, 60, -17, 5], [23, -89, 152, -170, 115, -63, 18, -5], [31, -126, 223, -256, 175, -98, 28, -8]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '48.2.j.a', 'level': 48, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 192, 'analytic_conductor': 0.38328192970214586, 'char_conductor': 16, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [48, 4, [31, 37, 17], [4, 3, 4]], 'conrey_index': 13, 'cusp_dim': 12, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 618508845104, 'hecke_orbit_dims': [8], 'label': '48.2.j', 'level': 48, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 20, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 16, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, -4, 0, 0, 0, -12, 0, -8, -8, 8, 0, 12, -8, 0, 0, 4, -8, 16, 0, 0, 0, 4, 0, 20, 0, 8, -16, -8, 24, 0, 0, 0, 24, -4, -16, -8, 0, 16, 0, -20, -8, -40, 0, -8, 0, -16, -8, -36, 8, -16, 16, 4, 0, 0, 0, -16, 32, 24, 16, -12, 8, 8, -16, 24, -16, 32, 16, 32, 0, -4, 0, 52, 16, 8, 16, -12, -24, 8, -8, 40, -40, -24, -16, -16, 0, 32, 0, -8, -8, -16, 0, 8, -48, 0, 0, -40, -8, -52, 0, 8, 0, -24, 0, -16, -32, 0, 0, 32, -32, 8, 16, 24, 16, 40, 0, -16, 0, 8, 0, 4, -24, -16, 48, 12, 24, 56, 0, 16, 16, -24, 48, -48, 0, -40, 0, -8, 48, -24, -16, -24, 80, -8, 16, -24, 32, 8, -32, 12, 0, -8, 0, -16, 24, 24, -32, 28, 40, -80, 0, 0, -8, 48, -32, -32, 0, 16, 0, 16, 8, 72, -48, -8, 8, 0, 0, -24, -16, -8, 16, 16, 0, -32, 0, -12, -48, -16, 0, 16, -80, 0, -32, -16, -40, 28, -16, 16, 0, 12, 0, 0, -40, -8, -16, -36, 0, 40, 0, 8, 80, -16, 0, 80, 0, 12, 0, -20, -32, 16, -64, 4, -24, -8, 8, 16, 40, 16, -48, 48, 0, 64, 0, -4, 16, 0, 32, -8, 112, -8, 32, 28, 0, 16, 16, -16, 0, -8, 0, 48, 24, 0, 0, 4, 48, -16, 80, -32, -40, -56, 16, -32, 0, -16, 0, 8, 48, -16, 64, -16, -104, -64, 32, -8, -72, 0, 16, -16, 0, -64, 0, -8, -32, -16, 16, -80, -64, 24, -8, 8, -48, 32, 48, -8, 0, 32, 0, -24, -32, -32, 48, 4, -40, -48, -80, -24, 16, -64, 0, -48, 0, -8, 0, 28, -24, -32, 64, 0, 0, -16, 0, 16, 64, 4, 48, 40, 0, 24, 0, 32, 48, 40, -16, 128, 96, 48, -80, 36, 32, 48, -16, -32, 0, -8, 0, 8, 72, -48, 16, 12, 16, 96, -16, -16, -48, -24, -48, 16, 0, 16, 0, -92, 32, 8, -80, 52, -56, 64, 0, -16, -40, 24, 32, 16, 0, 16, 0, 12, 24, 48, -32, 0, -80, 24, 32, 104, -8, -16, -80, -24, 0, 36, 0, 80, -120, 8, -32, -12, -64, 72, 0, -16, 8, -64, 0, -112, 0, 8, 0, -64, -24, -72, -32, -8, 128, -40, -32, -64, 56, 40, -48, 0, 0, -80, 0, 40, 72, 96, 48, -112, 32, -16, -32, 32, 32, -48, 0, 40, 0, 48, 0, -24, 104, -24, -32, -52, 56, -96, -128, 8, 48, -56, 64, 32, 0, -40, 0, -92, -8, -16, 80, 16, 72, -8, -32, -72, -72, 40, 0, -16, 0, -32, 0, 60, -24, 80, 16, 96, -48, -16, 48, 40, -16, 52, 128, 0, 0, -40, 0, -8, 0, -8, 16, -56, -32, 56, 128, -72, 0, 0, -16, 96, 0, -40, 0, -32, -32, -48, 16, -16, 96, -48, 0, -32, 88, 48, 0, 24, 0, 96, 0, 16, -120, 16, -64, 64, -64, -48, 120, 120, 32, 0, 0, -8, 0, 48, 0, 96, 24, -16, 80, -76, 48, 32, 80, 0, -56, -32, -16, -48, 0, -16, 0, -84, 24, -80, -64, 28, -144, -16, 0, 24, -104, 16, -96, 64, 0, 0, 0, 32, -96, 80, -48, -56, -64, -8, -16, -16, 0, 32, -144, -64, 0, 80, 0, 48, -80, -40, -80, 0, -72, -136, 16, -8, -48, 16, 32, 64, 0, -36, 0, 56, 16, 8, -32, 32, -8, -16, 32, -64, 32, -16, -32, -16, 0, -64, 0, 28, 0, 24, 16, 80, 112, 16, 8, -64, 48, 96, 32, 16, 0, -8, 0, -48, 56, -24, -48, 80, -16, 96, 64, -32, -56, 32, 80, 80, 0, 12, 0, -52, 32, 8, 80, -20, 32, -96, 16, 64, 32, 0, 0, 48, 0, 144, 0, -12, 48, 64, 64, 64, -48, 40, -96, 8, 16, -36, 160, 48, 0, -112, 0, 48, -56, -8, 48, -64, 16, 32, -48, 0, 40, -24, -16, -160, 0, -24, 0, -116, -16, 16, 32, -20, 144, -16, 0, 48, 40, 32, 48, -64, 0, -136, 0, -8, 64, 16, -80, -152, 80, 40, -32, 20, -16, -56, 0, -68, 0, -72, 0, -128, 32, 24, 80, 12, -8, 48, -128, 16, 32, -120, -64, -80, 0, 8, 0, 108, 40, -80, -96, 16, 24, 0, 0, -80, -24, 8, -80, -80, 0, 0, 0, -28, 8, -16, -16, 112, 0, -64, 96, 16, -16, -40, -192, -40, 0, 96, 0, 40, 64, 24, -32, -80, -24, 112, -80, 32, 72, -48, 32, 144, 0, 0, 0, 20, -32, 72, -64, -24, -32, 136, -16, 0, 0, -32, 0, 88, 0, 112, 0, 8, 24, -72, 64, -48, -16, 48, -64, 64, -8, -32, 32, 32, 0, 80, 0, 0, -48, 16, -128, 80, 16, 48, -64, 16, -32, 80, 0, -64, 0, 32, 0, 116, -16, -48, 128, -8, -40, 72, -96, -8, 64, 48, 96, 0, 0, -80, 0, -32, -72, -96, 80, -88, -48, -24, 48, 32, -64, -40, 176, 40, 0, -8, 0, -48, -16, 48, 176, 220, -8, -160, -16, 44, -88, 80, -32, -96, 0, 96, 0, 48, 8, 160, 0, 8, -256, -80, 0, -32, -24, -28, 48, 48, 0, -40, 0, -60, 104, -40, 0, 112, -16, 32, 32, -80, -8, 8, 32, 32, 0, -64, 0, 40, 16, 48, 96, -84, 8, -32, 64, -24, -104, 40, -96, 96, 0, -48, 0, 80, -32, -80, -112, -20, 96, 32, 0, 128, -16, -56, 80, -48, 0, 128, 0, 16, 96, -208, -64, -136, -32, -32, -120, -144, -32, 24, -208, 0, 0, -140, 0, -128, 88, -8, -32, -12, 48, -136, 128, -40, 48, 96, 0, -80, 0, 56, 0, 48, -16, -16, 0, 16, 40, -24, 96, 80, -56, -104, -48, -80, 0, -64], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 37858
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.j.a', 'target_level': 48, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 37859
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '48.2.j.a', 'target_level': 48, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 37860
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.2.k.b', 'target_level': 144, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37861
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.2.k.b', 'target_level': 144, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 37862
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.j.a', 'target_level': 192, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37863
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '192.2.j.a', 'target_level': 192, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 37864
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.j.a', 'target_level': 384, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 37865
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '384.2.j.a', 'target_level': 384, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 37866
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.j.b', 'target_level': 384, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37867
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '384.2.j.b', 'target_level': 384, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 37868
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.2.k.b', 'target_level': 576, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 37869
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '576.2.k.b', 'target_level': 576, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 37870
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1152.2.k.c', 'target_level': 1152, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37871
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1152.2.k.c', 'target_level': 1152, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 37872
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1152.2.k.f', 'target_level': 1152, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 37873
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1152.2.k.f', 'target_level': 1152, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 37874
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3072.2.a.i', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 37875
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3072.2.a.n', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37876
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3072.2.a.o', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37877
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '3072.2.a.t', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 37878
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3072.2.d.f', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 37879
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3072.2.d.i', 'target_level': 3072, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 37880
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9216.2.a.x', 'target_level': 9216, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 37881
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '9216.2.a.y', 'target_level': 9216, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 37882
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '9216.2.a.bn', 'target_level': 9216, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 37883
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '48.2.j.a', 'source_level': 48, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '9216.2.a.bo', 'target_level': 9216, 'twist_class_label': '48.2.j.a', 'twist_class_level': 48, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 156800
{'charpoly_factorization': [[[16, 0, 8, 8, 2, 4, 2, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 2}
-
id: 156801
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 618508845104, 'p': 3}
-
id: 156802
{'charpoly_factorization': [[[64, 128, 128, -192, 128, -16, 0, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 5}
-
id: 156803
{'charpoly_factorization': [[[16, 0, 640, 0, 264, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 7}
-
id: 156804
{'charpoly_factorization': [[[1024, -2048, 2048, 256, 0, 0, 32, 8, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 11}
-
id: 156805
{'charpoly_factorization': [[[16, 256, 2048, -1792, 776, -64, 0, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 13}
-
id: 156806
{'charpoly_factorization': [[[16, 64, -32, 0, 1], 2]], 'hecke_orbit_code': 618508845104, 'p': 17}
-
id: 156807
{'charpoly_factorization': [[[256, -1536, 4608, 1408, 224, -32, 32, 8, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 19}
-
id: 156808
{'charpoly_factorization': [[[8, 0, 1], 4]], 'hecke_orbit_code': 618508845104, 'p': 23}
-
id: 156809
{'charpoly_factorization': [[[61504, 35712, 10368, 1088, 896, 464, 128, 16, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 29}
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id: 156810
{'charpoly_factorization': [[[-28, -24, 40, -12, 1], 2]], 'hecke_orbit_code': 618508845104, 'p': 31}
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id: 156811
{'charpoly_factorization': [[[1106704, 639616, 184832, 24128, 2248, 416, 128, 16, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 37}
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id: 156812
{'charpoly_factorization': [[[12544, 0, 22528, 0, 3872, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 41}
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id: 156813
{'charpoly_factorization': [[[12544, 39424, 61952, 29056, 6624, -288, 32, 8, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 43}
-
id: 156814
{'charpoly_factorization': [[[-8, 0, 1], 4]], 'hecke_orbit_code': 618508845104, 'p': 47}
-
id: 156815
{'charpoly_factorization': [[[18496, 36992, 36992, -1088, -128, -80, 128, -16, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 53}
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id: 156816
{'charpoly_factorization': [[[32, -8, 1], 4]], 'hecke_orbit_code': 618508845104, 'p': 59}
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id: 156817
{'charpoly_factorization': [[[1106704, -639616, 184832, -24128, 2248, -416, 128, -16, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 61}
-
id: 156818
{'charpoly_factorization': [[[65536, -65536, 32768, 12288, 3584, -768, 128, 16, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 67}
-
id: 156819
{'charpoly_factorization': [[[4096, 0, 40960, 0, 4224, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 71}
-
id: 156820
{'charpoly_factorization': [[[4096, 0, 16384, 0, 8320, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 73}
-
id: 156821
{'charpoly_factorization': [[[-10108, -2888, -168, 12, 1], 2]], 'hecke_orbit_code': 618508845104, 'p': 79}
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id: 156822
{'charpoly_factorization': [[[1024, -10240, 51200, -60160, 33792, 7680, 800, 40, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 83}
-
id: 156823
{'charpoly_factorization': [[[3625216, 0, 1901824, 0, 62304, 0, 464, 0, 1], 1]], 'hecke_orbit_code': 618508845104, 'p': 89}
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id: 156824
{'charpoly_factorization': [[[512, 768, -224, 0, 1], 2]], 'hecke_orbit_code': 618508845104, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '48.2.j.a', 'level': 48, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 39426000
{'hecke_orbit_code': 618508845104, 'n': 1, 'trace_an': 8}
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id: 39426001
{'hecke_orbit_code': 618508845104, 'n': 2, 'trace_an': 0}
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id: 39426002
{'hecke_orbit_code': 618508845104, 'n': 3, 'trace_an': 0}
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id: 39426003
{'hecke_orbit_code': 618508845104, 'n': 4, 'trace_an': -4}
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id: 39426004
{'hecke_orbit_code': 618508845104, 'n': 5, 'trace_an': 0}
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id: 39426005
{'hecke_orbit_code': 618508845104, 'n': 6, 'trace_an': 0}
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id: 39426006
{'hecke_orbit_code': 618508845104, 'n': 7, 'trace_an': 0}
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id: 39426007
{'hecke_orbit_code': 618508845104, 'n': 8, 'trace_an': -12}
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id: 39426008
{'hecke_orbit_code': 618508845104, 'n': 9, 'trace_an': 0}
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id: 39426009
{'hecke_orbit_code': 618508845104, 'n': 10, 'trace_an': -8}
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id: 39426010
{'hecke_orbit_code': 618508845104, 'n': 11, 'trace_an': -8}
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id: 39426011
{'hecke_orbit_code': 618508845104, 'n': 12, 'trace_an': 8}
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id: 39426012
{'hecke_orbit_code': 618508845104, 'n': 13, 'trace_an': 0}
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id: 39426013
{'hecke_orbit_code': 618508845104, 'n': 14, 'trace_an': 12}
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id: 39426014
{'hecke_orbit_code': 618508845104, 'n': 15, 'trace_an': -8}
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id: 39426015
{'hecke_orbit_code': 618508845104, 'n': 16, 'trace_an': 0}
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id: 39426016
{'hecke_orbit_code': 618508845104, 'n': 17, 'trace_an': 0}
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id: 39426017
{'hecke_orbit_code': 618508845104, 'n': 18, 'trace_an': 4}
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id: 39426018
{'hecke_orbit_code': 618508845104, 'n': 19, 'trace_an': -8}
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id: 39426019
{'hecke_orbit_code': 618508845104, 'n': 20, 'trace_an': 16}
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id: 39426020
{'hecke_orbit_code': 618508845104, 'n': 21, 'trace_an': 0}
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id: 39426021
{'hecke_orbit_code': 618508845104, 'n': 22, 'trace_an': 0}
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id: 39426022
{'hecke_orbit_code': 618508845104, 'n': 23, 'trace_an': 0}
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id: 39426023
{'hecke_orbit_code': 618508845104, 'n': 24, 'trace_an': 4}
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id: 39426024
{'hecke_orbit_code': 618508845104, 'n': 25, 'trace_an': 0}
-
id: 39426025
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