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mf_newforms • Show schema
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{'Nk2': 19200, 'analytic_conductor': 38.32819297021459, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4800, 2, [4351, 901, 1601, 577], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 1249, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [13, [-8, -4, 1]], [31, [4, -8, 1]], [43, [-48, 0, 1]], [83, [-8, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043401720435392, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4800.2.d.m', 'level': 4800, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '960.2.k.e', 'nf_label': '4.0.144.1', 'prim_orbit_index': 6, 'qexp_display': 'q-q^{3}-\\beta_1 q^{7}+q^{9}+(\\beta_{3}-\\beta_1)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4800.2.d', 'trace_display': [0, -4, 0, 0], 'trace_hash': 1392702921371956709, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.649', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.314', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1835.518', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.523', 'prec': 17}, 'traces': [4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 0, 4, 0, 32, 0, 0, 0, 0, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 8, 0, 0, 0, -20, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -32, 0, 0, 0, 0, 0, -72, 0, 24, 0, 32, 0, 16, 0, 0, 0, 0, 0, 12, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 40, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
Hide schema
{'Nk2': 19200, 'analytic_conductor': 38.32819297021459, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4800, 2, [4351, 901, 1601, 577], [2, 1, 2, 1]], 'conrey_index': 1249, 'cusp_dim': 888, 'dim': 72, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 31, 43, 83], 'hecke_orbit_code': 206191989440, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '4800.2.d', 'level': 4800, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1032, 'mf_new_dim': 72, 'num_forms': 20, 'prim_orbit_index': 6, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 41, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -696, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1225854
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '960.2.k.e', 'target_level': 960, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1225855
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '960.2.k.e', 'target_level': 960, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1225856
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '960.2.k.f', 'target_level': 960, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1225857
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '960.2.k.f', 'target_level': 960, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1225858
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.2.k.f', 'target_level': 2880, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1225859
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.2.k.f', 'target_level': 2880, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1225860
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2880.2.k.k', 'target_level': 2880, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1225861
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2880.2.k.k', 'target_level': 2880, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1225862
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '3840.2.a.be', 'target_level': 3840, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1225863
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3840.2.a.bf', 'target_level': 3840, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1225864
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '3840.2.a.bi', 'target_level': 3840, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1225865
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '3840.2.a.bn', 'target_level': 3840, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1225866
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4800.2.d.i', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1225867
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4800.2.d.i', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1225868
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4800.2.d.m', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1225869
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4800.2.d.m', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1225870
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4800.2.d.n', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1225871
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4800.2.d.n', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1225872
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4800.2.d.r', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1225873
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4800.2.d.r', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1225874
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4800.2.k.i', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1225875
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4800.2.k.i', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1225876
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4800.2.k.o', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1225877
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '4800.2.d.m', 'source_level': 4800, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4800.2.k.o', 'target_level': 4800, 'twist_class_label': '960.2.k.e', 'twist_class_level': 960, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3711100
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043401720435392, 'p': 2}
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id: 3711101
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 54043401720435392, 'p': 3}
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id: 3711102
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 54043401720435392, 'p': 5}
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id: 3711103
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 7}
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id: 3711104
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 54043401720435392, 'p': 11}
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id: 3711105
{'charpoly_factorization': [[[-8, -4, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 13}
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id: 3711106
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 17}
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id: 3711107
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 19}
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id: 3711108
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 23}
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id: 3711109
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 54043401720435392, 'p': 29}
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id: 3711110
{'charpoly_factorization': [[[4, -8, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 31}
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id: 3711111
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 37}
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id: 3711112
{'charpoly_factorization': [[[-44, 4, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 41}
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id: 3711113
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 43}
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id: 3711114
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 47}
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id: 3711115
{'charpoly_factorization': [[[-12, 12, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 53}
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id: 3711116
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 54043401720435392, 'p': 59}
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id: 3711117
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 61}
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id: 3711118
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 67}
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id: 3711119
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 71}
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id: 3711120
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 73}
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id: 3711121
{'charpoly_factorization': [[[-92, 8, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 79}
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id: 3711122
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 54043401720435392, 'p': 83}
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id: 3711123
{'charpoly_factorization': [[[-12, -12, 1], 2]], 'hecke_orbit_code': 54043401720435392, 'p': 89}
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id: 3711124
{'charpoly_factorization': [[[144, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 54043401720435392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 13, 'label': '4800.2.d.m', 'level': 4800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 58128409
{'hecke_orbit_code': 54043401720435392, 'n': 1, 'trace_an': 4}
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id: 58128410
{'hecke_orbit_code': 54043401720435392, 'n': 2, 'trace_an': 0}
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id: 58128411
{'hecke_orbit_code': 54043401720435392, 'n': 3, 'trace_an': -4}
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id: 58128412
{'hecke_orbit_code': 54043401720435392, 'n': 4, 'trace_an': 0}
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id: 58128413
{'hecke_orbit_code': 54043401720435392, 'n': 5, 'trace_an': 0}
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id: 58128414
{'hecke_orbit_code': 54043401720435392, 'n': 6, 'trace_an': 0}
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id: 58128415
{'hecke_orbit_code': 54043401720435392, 'n': 7, 'trace_an': 0}
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id: 58128416
{'hecke_orbit_code': 54043401720435392, 'n': 8, 'trace_an': 0}
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id: 58128417
{'hecke_orbit_code': 54043401720435392, 'n': 9, 'trace_an': 4}
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id: 58128418
{'hecke_orbit_code': 54043401720435392, 'n': 10, 'trace_an': 0}
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id: 58128419
{'hecke_orbit_code': 54043401720435392, 'n': 11, 'trace_an': 0}
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id: 58128420
{'hecke_orbit_code': 54043401720435392, 'n': 12, 'trace_an': 0}
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id: 58128421
{'hecke_orbit_code': 54043401720435392, 'n': 13, 'trace_an': 8}
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id: 58128422
{'hecke_orbit_code': 54043401720435392, 'n': 14, 'trace_an': 0}
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id: 58128423
{'hecke_orbit_code': 54043401720435392, 'n': 15, 'trace_an': 0}
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id: 58128424
{'hecke_orbit_code': 54043401720435392, 'n': 16, 'trace_an': 0}
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id: 58128425
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