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mf_newforms • Show schema
Hide schema
{'Nk2': 128, 'analytic_conductor': 0.25552128646809724, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 32, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [32, 8, [31, 5], [8, 1]], 'cm_discs': [], 'conrey_index': 5, 'conrey_indexes': [5, 13, 21, 29], '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': [[3, [4, -16, 96, -24, -32, 0, 8, 4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785376, '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, 32, 7, 1, 8, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '32.2.g.b', 'level': 32, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '32.2.g.b', 'nf_label': '8.0.18939904.2', 'prim_orbit_index': 7, 'qexp_display': 'q-\\beta _{2}q^{2}+(\\beta _{1}+\\beta _{3}+\\beta _{5}+\\beta _{7})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '32.2.g', 'trace_display': [-4, -4, 0, -8], 'trace_hash': 1033351263522282704, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.493', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.181', 'prec': 17}, {'__RealLiteral__': 0, 'data': '177.495', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, -1, -1], [-2, -1, 1, 0, 0, -1, 0, -2], [-2, -1, 1, -1, 1, -2, 0, 1], [0, 0, -1, 0, -1, 0, -2, 1], [-1, -2, 0, 0, -2, 0, 1, -1], [0, 0, 0, 1, 1, 0, 1, 1], [1, 0, -1, 0, 1, 0, 1, -1], [2, 1, 0, 1, 2, 1, -1, 2], [0, 2, 0, -2, 0, 1, 0, -1], [2, 1, 0, 1, -2, 3, -1, 0], [1, 1, -1, -1, -1, 1, -1, 0], [0, 1, 1, 1, -1, -1, 3, -1], [0, 0, 0, 2, 2, -2, 2, 2], [4, 2, -1, -1, 1, -2, -1, 1], [0, -1, 0, 1, -2, 1, 0, -1], [0, -1, 0, -1, 0, 1, -1, -2], [1, 0, -2, 0, 2, -1, -3, 3], [0, -1, 0, -2, 1, 1, 0, 1], [-2, -1, 1, 1, -1, 0, 2, -1], [-2, -3, -1, 1, -1, 1, 1, -3], [-1, 0, 0, 0, 0, 3, 0, 1], [-4, -1, 2, 0, -1, -1, 0, 3], [1, 0, 0, -2, 0, -1, -3, -3], [-2, -1, -1, 1, 1, -5, 1, -1], [-2, 0, 4, 0, 0, -1, 2, -1], [-2, 0, 1, 0, -1, -2, 2, 1], [4, 0, 0, 0, 0, -2, -2, 0], [-2, 2, 0, -2, 2, 0, -4, 0], [-2, 2, 2, 0, 0, -1, -1, 0], [0, 0, 0, -2, 0, 4, -2, -4], [1, 0, 2, 0, 0, 1, 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-12, 0, 19], [8, -4, -4, -10, 10, 4, 4, 0], [-26, 0, 6, 0, 6, 20, -3, -3], [-2, -1, 0, 1, 6, -7, 2, 7], [-18, -14, 8, -14, 0, -15, -10, -15], [-9, -2, 6, 6, -2, 0, 16, -3], [-9, -16, -1, 0, 1, -10, 11, -11], [4, -16, 10, 0, -10, 14, 9, -9], [8, -1, -7, -7, -1, 0, 6, 1], [17, 0, 1, 6, 1, -18, 13, 13], [10, 10, 0, 10, 0, 13, 10, 13], [10, -5, 5, -5, 5, -14, 0, -15], [-10, -12, -6, 0, 6, -16, 3, -3], [-1, 4, 8, -8, -4, 12, 0, -7], [-17, 0, 5, -2, 5, 12, 25, 25], [0, 4, 4, 4, -4, 14, 14, 0], [0, -4, 0, 4, 0, -13, 0, 13], [16, 16, -16, 0, 0, 0, 0, -4], [4, 3, 0, -3, -10, 5, -4, -5], [-8, -5, 21, 21, -5, 0, 10, 13], [5, 16, 3, 0, -3, 8, -13, 13], [6, 6, -6, 12, 12, -4, 4, 22], [14, 15, -15, -15, 15, 0, -34, -1], [8, 0, 0, -18, 18, 4, 4, 0], [11, 8, -10, -10, 8, 0, -26, 1], [12, -4, 0, 4, -16, 11, -12, -11], [-22, -9, 0, 9, 22, -9, 22, 9], [-5, -12, -4, 4, 12, -24, 0, 9], [10, 3, -11, 11, -3, 30, 0, 1], [-25, -16, 3, 0, -3, -22, -15, 15], [8, 8, -8, -10, -10, -6, 6, -10], [-20, 3, -3, -3, 3, 0, 14, -23], [-12, 20, 20, -4, 4, 12, 12, 0], [2, 0, 10, -24, 10, -12, 1, 1]], 'char_orbit_index': 7, 'field_poly': [2, -12, 30, -44, 43, -28, 14, -4, 1], 'hecke_orbit_code': 4504011977785376, 'hecke_ring_character_values': [[31, [1, 0, 0, 0, 0, 0, 0, 0]], [5, [0, 0, 0, 0, 0, -1, 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': '32.2.g.b', 'level': 32, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 128, 'analytic_conductor': 0.25552128646809724, 'char_conductor': 32, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [32, 8, [31, 5], [8, 1]], 'conrey_index': 5, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 412350414880, 'hecke_orbit_dims': [4, 8], 'label': '32.2.g', 'level': 32, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 20, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 3, 'sturm_bound': 8, 'trace_bound': 1, 'trace_display': [-4, -4, -4, -4], 'traces': [12, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 12, -4, 12, 0, 16, 0, 16, -4, 12, -4, 8, 4, -16, -4, -24, 20, -24, -4, -36, 16, -24, -8, -16, 20, -32, -4, 4, 20, 8, -4, 16, 4, 36, 8, 28, 0, 48, 0, 36, -8, 4, 12, 8, -36, 8, -4, -8, -36, 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-4, 0, 176, 168, 8, -68, 68, 0, -112, -60, -92, 92, -132, 0, -152, 0, 12, -132, 60, 92, 184, -172, 32, -132, 0, -40, 88, 92, 100, -160, -48, -136, 104, -172, -72, 12, 44, -32, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 25258
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '32.2.g.b', 'target_level': 32, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 25259
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '32.2.g.b', 'target_level': 32, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 25260
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '128.2.g.b', 'target_level': 128, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 25261
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '128.2.g.b', 'target_level': 128, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 25262
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.2.g.c', 'target_level': 256, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 25263
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.2.g.c', 'target_level': 256, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 25264
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.2.g.d', 'target_level': 256, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 25265
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.2.g.d', 'target_level': 256, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 25266
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '288.2.v.b', 'target_level': 288, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 25267
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '288.2.v.b', 'target_level': 288, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 25268
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '512.2.g.e', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 25269
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '512.2.g.e', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 25270
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '512.2.g.f', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 25271
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '512.2.g.f', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 25272
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '512.2.g.g', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 25273
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '512.2.g.g', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 25274
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '512.2.g.h', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 25275
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 7, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '512.2.g.h', 'target_level': 512, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 25276
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '800.2.y.b', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 25277
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 25, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '800.2.y.b', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '160.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 25278
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 27, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '800.2.ba.c', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 25279
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 27, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '800.2.ba.c', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '160.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 25280
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 27, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '800.2.ba.d', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 25281
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 27, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '800.2.ba.d', 'target_level': 800, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '160.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 25282
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.v.b', 'target_level': 1152, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 25283
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 22, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.v.b', 'target_level': 1152, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 25284
{'conductor': 64, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4096.2.a.k', 'target_level': 4096, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '64.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 25285
{'conductor': 64, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '32.2.g.b', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4096.2.a.q', 'target_level': 4096, 'twist_class_label': '32.2.g.b', 'twist_class_level': 32, 'twisting_char_label': '64.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 115525
{'charpoly_factorization': [[[16, 32, 24, 8, 2, 4, 6, 4, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 2}
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id: 115526
{'charpoly_factorization': [[[4, -16, 96, -24, -32, 0, 8, 4, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 3}
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id: 115527
{'charpoly_factorization': [[[2, -4, 2, 0, 1], 2]], 'hecke_orbit_code': 4504011977785376, 'p': 5}
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id: 115528
{'charpoly_factorization': [[[784, 1344, 1152, 224, 56, 48, 32, 8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 7}
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id: 115529
{'charpoly_factorization': [[[4, -48, 160, 56, 224, -64, 8, -4, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 11}
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id: 115530
{'charpoly_factorization': [[[6724, -8528, 2520, 448, 200, 104, 36, 8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 13}
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id: 115531
{'charpoly_factorization': [[[256, 0, 5120, 0, 1056, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 17}
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id: 115532
{'charpoly_factorization': [[[196, -336, 832, -168, 32, 48, -8, -4, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 19}
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id: 115533
{'charpoly_factorization': [[[16, -64, 128, -32, -8, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 23}
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id: 115534
{'charpoly_factorization': [[[188356, 17360, 17272, -6256, 72, 168, -12, 0, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 29}
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id: 115535
{'charpoly_factorization': [[[8, -8, 1], 4]], 'hecke_orbit_code': 4504011977785376, 'p': 31}
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id: 115536
{'charpoly_factorization': [[[64516, -67056, 59320, -20640, 3464, -168, -44, 8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 37}
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id: 115537
{'charpoly_factorization': [[[26896, 7872, 1152, -416, 968, 240, 32, -8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 41}
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id: 115538
{'charpoly_factorization': [[[31684, 12816, 5888, 4856, 1760, 256, 56, 12, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 43}
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id: 115539
{'charpoly_factorization': [[[256, 0, 1024, 0, 544, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 47}
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id: 115540
{'charpoly_factorization': [[[158404, -238800, 147160, -47328, 9800, -1272, 100, -8, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 53}
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id: 115541
{'charpoly_factorization': [[[643204, 211728, 44896, 20712, 5408, 528, 136, 20, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 59}
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id: 115542
{'charpoly_factorization': [[[42436, -24720, 34968, 6336, 72, 648, 132, -24, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 61}
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id: 115543
{'charpoly_factorization': [[[1285956, 734832, 233280, 68040, 18144, 3456, 504, 36, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 67}
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id: 115544
{'charpoly_factorization': [[[21196816, 9060672, 1936512, 173472, 10232, 1200, 288, 24, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 71}
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id: 115545
{'charpoly_factorization': [[[38416, 112896, 165888, 88192, 26504, 4672, 512, 32, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 73}
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id: 115546
{'charpoly_factorization': [[[99361024, 0, 4775936, 0, 78880, 0, 512, 0, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 79}
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id: 115547
{'charpoly_factorization': [[[138250564, -16837456, 1548544, 131864, -22752, 304, 184, -20, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 83}
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id: 115548
{'charpoly_factorization': [[[17007376, 7786112, 1782272, 209472, 14024, 672, 128, 16, 1], 1]], 'hecke_orbit_code': 4504011977785376, 'p': 89}
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id: 115549
{'charpoly_factorization': [[[-992, 288, 40, -16, 1], 2]], 'hecke_orbit_code': 4504011977785376, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '32.2.g.b', 'level': 32, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 87937000
{'hecke_orbit_code': 4504011977785376, 'n': 1, 'trace_an': 8}
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id: 87937001
{'hecke_orbit_code': 4504011977785376, 'n': 2, 'trace_an': -4}
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id: 87937002
{'hecke_orbit_code': 4504011977785376, 'n': 3, 'trace_an': -4}
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id: 87937003
{'hecke_orbit_code': 4504011977785376, 'n': 4, 'trace_an': 4}
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id: 87937004
{'hecke_orbit_code': 4504011977785376, 'n': 5, 'trace_an': 0}
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id: 87937005
{'hecke_orbit_code': 4504011977785376, 'n': 6, 'trace_an': -8}
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id: 87937006
{'hecke_orbit_code': 4504011977785376, 'n': 7, 'trace_an': -8}
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id: 87937007
{'hecke_orbit_code': 4504011977785376, 'n': 8, 'trace_an': -4}
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id: 87937008
{'hecke_orbit_code': 4504011977785376, 'n': 9, 'trace_an': 0}
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id: 87937009
{'hecke_orbit_code': 4504011977785376, 'n': 10, 'trace_an': 0}
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id: 87937010
{'hecke_orbit_code': 4504011977785376, 'n': 11, 'trace_an': 4}
-
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id: 87937935
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