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mf_newforms • Show schema
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{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 1, 3]], 'cm_discs': [], 'conrey_index': 269, 'conrey_indexes': [269, 1349], 'dim': 8, 'field_disc': 1485512441856, 'field_disc_factorization': [[2, 16], [3, 4], [23, 4]], 'field_poly': [14641, 0, -2904, 0, 455, 0, -24, 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': [[7, [2116, 0, -46, 0, 1]], [17, [-368, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008504975132244, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 8, -1, 6, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 45, 10, 1, 6, 0], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1620.3.t.c', 'level': 1620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '180.3.b.a', 'nf_label': '8.0.1485512441856.6', 'prim_orbit_index': 8, 'qexp_display': 'q+(\\beta _{2}+\\beta _{5}+\\beta _{6})q^{5}+\\beta _{3}q^{7}-7\\beta _{4}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1620.3.t', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1799689888295390293, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.131', 'prec': 17}, 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-8176, 0], 'weight': 3, 'weight_parity': -1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3], [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, -4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [12, 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, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -21, 0, 2, 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, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [38, -38, 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, 2, 0, -23, 0, -23, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 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{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 1, 3]], 'conrey_index': 269, 'cusp_dim': 1224, 'dim': 96, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 17], 'hecke_orbit_code': 1305720391252, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 48], 'label': '1620.3.t', 'level': 1620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1368, 'mf_new_dim': 96, 'num_forms': 6, 'prim_orbit_index': 8, 'relative_dim': 48, 'sturm_bound': 972, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, -12, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 777137
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777138
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777139
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777140
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '180.3.b.a', 'target_level': 180, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 777141
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 777142
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777143
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 777144
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '720.3.c.b', 'target_level': 720, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 777145
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777146
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.3.g.c', 'target_level': 900, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777147
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 777148
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777149
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777150
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777151
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777152
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777153
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777154
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.t.c', 'target_level': 1620, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 777155
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 777156
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 777157
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '360.bh', 'twisting_char_orbit': 34, 'weight': 3}
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id: 777158
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2880.3.c.c', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '360.bk', 'twisting_char_orbit': 37, 'weight': 3}
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id: 777159
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777160
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 777161
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '360.z', 'twisting_char_orbit': 26, 'weight': 3}
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id: 777162
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2880.3.c.f', 'target_level': 2880, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '360.bd', 'twisting_char_orbit': 30, 'weight': 3}
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id: 777163
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 777164
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.t.c', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3600.3.l.r', 'target_level': 3600, 'twist_class_label': '180.3.b.a', 'twist_class_level': 180, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2084875
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008504975132244, 'p': 2}
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id: 2084876
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008504975132244, 'p': 3}
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id: 2084877
{'charpoly_factorization': [[[390625, 0, 26250, 0, 1139, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 9008504975132244, 'p': 5}
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id: 2084878
{'charpoly_factorization': [[[2116, 0, -46, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 7}
-
id: 2084879
{'charpoly_factorization': [[[9604, 0, -98, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 11}
-
id: 2084880
{'charpoly_factorization': [[[171396, 0, -414, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 13}
-
id: 2084881
{'charpoly_factorization': [[[-368, 0, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 17}
-
id: 2084882
{'charpoly_factorization': [[[-12, 1], 8]], 'hecke_orbit_code': 9008504975132244, 'p': 19}
-
id: 2084883
{'charpoly_factorization': [[[8464, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 23}
-
id: 2084884
{'charpoly_factorization': [[[5184, 0, -72, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 29}
-
id: 2084885
{'charpoly_factorization': [[[1444, -38, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 31}
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id: 2084886
{'charpoly_factorization': [[[46, 0, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 37}
-
id: 2084887
{'charpoly_factorization': [[[23059204, 0, -4802, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 41}
-
id: 2084888
{'charpoly_factorization': [[[21160000, 0, -4600, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 43}
-
id: 2084889
{'charpoly_factorization': [[[34668544, 0, 5888, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 47}
-
id: 2084890
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9008504975132244, 'p': 53}
-
id: 2084891
{'charpoly_factorization': [[[48469444, 0, -6962, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 59}
-
id: 2084892
{'charpoly_factorization': [[[4900, -70, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 61}
-
id: 2084893
{'charpoly_factorization': [[[138674176, 0, -11776, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 67}
-
id: 2084894
{'charpoly_factorization': [[[14112, 0, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 71}
-
id: 2084895
{'charpoly_factorization': [[[184, 0, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 73}
-
id: 2084896
{'charpoly_factorization': [[[900, 30, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 79}
-
id: 2084897
{'charpoly_factorization': [[[325153024, 0, 18032, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 83}
-
id: 2084898
{'charpoly_factorization': [[[1058, 0, 1], 4]], 'hecke_orbit_code': 9008504975132244, 'p': 89}
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id: 2084899
{'charpoly_factorization': [[[81288256, 0, -9016, 0, 1], 2]], 'hecke_orbit_code': 9008504975132244, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 20, 'hecke_orbit': 3, 'label': '1620.3.t.c', 'level': 1620, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 123672000
{'hecke_orbit_code': 9008504975132244, 'n': 1, 'trace_an': 8}
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id: 123672001
{'hecke_orbit_code': 9008504975132244, 'n': 2, 'trace_an': 0}
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id: 123672002
{'hecke_orbit_code': 9008504975132244, 'n': 3, 'trace_an': 0}
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id: 123672003
{'hecke_orbit_code': 9008504975132244, 'n': 4, 'trace_an': 0}
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id: 123672004
{'hecke_orbit_code': 9008504975132244, 'n': 5, 'trace_an': 0}
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id: 123672005
{'hecke_orbit_code': 9008504975132244, 'n': 6, 'trace_an': 0}
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id: 123672006
{'hecke_orbit_code': 9008504975132244, 'n': 7, 'trace_an': 0}
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id: 123672007
{'hecke_orbit_code': 9008504975132244, 'n': 8, 'trace_an': 0}
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id: 123672008
{'hecke_orbit_code': 9008504975132244, 'n': 9, 'trace_an': 0}
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id: 123672009
{'hecke_orbit_code': 9008504975132244, 'n': 10, 'trace_an': 0}
-
id: 123672010
{'hecke_orbit_code': 9008504975132244, 'n': 11, 'trace_an': 0}
-
id: 123672011
{'hecke_orbit_code': 9008504975132244, 'n': 12, 'trace_an': 0}
-
id: 123672012
{'hecke_orbit_code': 9008504975132244, 'n': 13, 'trace_an': 0}
-
id: 123672013
{'hecke_orbit_code': 9008504975132244, 'n': 14, 'trace_an': 0}
-
id: 123672014
{'hecke_orbit_code': 9008504975132244, 'n': 15, 'trace_an': 0}
-
id: 123672015
{'hecke_orbit_code': 9008504975132244, 'n': 16, 'trace_an': 0}
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