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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': 12960000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 4]], 'field_poly': [1, 0, -3, 0, 8, 0, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4096, 0, -64, 0, 1]], [17, [-980, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504905347761748, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], '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.b', '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': '60.3.b.a', 'nf_label': '8.0.12960000.1', 'prim_orbit_index': 8, 'qexp_display': 'q-\\beta _{5}q^{5}-2\\beta _{4}q^{7}+(\\beta _{2}+2\\beta _{5}+2\\beta _{6}+\\cdots)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': 1513563604993587327, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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'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, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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, 1, 0, 0, 2, 2, -1], [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, 0, 0, 0, 0], [0, 0, 7, 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, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 15, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 6, 6, -3], [0, 0, 0, 0, 0, 0, 0, 0], [-34, 0, 0, 34, 0, 0, 0, 0], [0, 0, 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, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 11, 0, 0, 11, 0, 0, 0], [0, 0, 0, 0, 0, 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'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 2, 0, -1], [0, 0, 1, 6, 0, 0, 0, 1], [0, 2, -1, 0, 2, 0, -2, 0], [-14, 0, 0, 14, 0, 0, 0, 3], [0, 0, -5, 0, 11, -10, -10, 5], [-9, 0, -2, 0, 0, 0, 0, 0], [0, -29, 0, 0, 0, -26, 0, 13]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -13, 0, 0, 0, 0, 0, -1], [-9, 0, 0, 0, 0, 0, -1, 0], [-1, 0, 24, 0, -8, 0, 3, 0], [0, 15, 0, -40, 0, 16, 0, -5], [21, 58, -56, 0, 24, 0, -7, 2], [9, 4, 0, -88, 0, 32, 1, -12], [21, 0, -56, 0, 24, 0, -7, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1620.3.t.b', 'level': 1620, 'maxp': 1999, 'weight': 3}
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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: 777105
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.3.b.a', 'target_level': 60, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777106
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.3.b.a', 'target_level': 60, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777107
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.3.b.a', 'target_level': 60, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777108
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '60.3.b.a', 'target_level': 60, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 777109
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '240.3.c.d', 'target_level': 240, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 777110
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '240.3.c.d', 'target_level': 240, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777111
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '240.3.c.d', 'target_level': 240, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 777112
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '240.3.c.d', 'target_level': 240, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 777113
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '300.3.g.e', 'target_level': 300, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777114
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '300.3.g.e', 'target_level': 300, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777115
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '300.3.g.h', 'target_level': 300, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777116
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '300.3.g.h', 'target_level': 300, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777117
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '960.3.c.g', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777118
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '960.3.c.g', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 3}
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id: 777119
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '960.3.c.g', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '360.z', 'twisting_char_orbit': 26, 'weight': 3}
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id: 777120
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '960.3.c.g', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '360.bd', 'twisting_char_orbit': 30, 'weight': 3}
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id: 777121
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.c.h', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 777122
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.c.h', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 3}
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id: 777123
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.c.h', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '360.bh', 'twisting_char_orbit': 34, 'weight': 3}
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id: 777124
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '960.3.c.h', 'target_level': 960, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '360.bk', 'twisting_char_orbit': 37, 'weight': 3}
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id: 777125
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.3.l.h', 'target_level': 1200, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 777126
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1200.3.l.h', 'target_level': 1200, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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id: 777127
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1200.3.l.q', 'target_level': 1200, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 777128
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1200.3.l.q', 'target_level': 1200, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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id: 777129
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 777130
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777131
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777132
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777133
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777134
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777135
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777136
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 20, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1620.3.t.b', 'source_level': 1620, 'target_char_orbit': 20, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1620.3.t.b', 'target_level': 1620, 'twist_class_label': '60.3.b.a', 'twist_class_level': 60, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2084800
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504905347761748, 'p': 2}
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id: 2084801
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504905347761748, 'p': 3}
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id: 2084802
{'charpoly_factorization': [[[390625, 0, -18750, 0, 275, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 4504905347761748, 'p': 5}
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id: 2084803
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 7}
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id: 2084804
{'charpoly_factorization': [[[6400, 0, -80, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 11}
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id: 2084805
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 13}
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id: 2084806
{'charpoly_factorization': [[[-980, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 17}
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id: 2084807
{'charpoly_factorization': [[[6, 1], 8]], 'hecke_orbit_code': 4504905347761748, 'p': 19}
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id: 2084808
{'charpoly_factorization': [[[400, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 23}
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id: 2084809
{'charpoly_factorization': [[[518400, 0, -720, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 29}
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id: 2084810
{'charpoly_factorization': [[[1156, 34, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 31}
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id: 2084811
{'charpoly_factorization': [[[1936, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 37}
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id: 2084812
{'charpoly_factorization': [[[102400, 0, -320, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 41}
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id: 2084813
{'charpoly_factorization': [[[614656, 0, -784, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 43}
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id: 2084814
{'charpoly_factorization': [[[400, 0, 20, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 47}
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id: 2084815
{'charpoly_factorization': [[[-1620, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 53}
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id: 2084816
{'charpoly_factorization': [[[93702400, 0, -9680, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 59}
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id: 2084817
{'charpoly_factorization': [[[5476, 74, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 61}
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id: 2084818
{'charpoly_factorization': [[[71639296, 0, -8464, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 67}
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id: 2084819
{'charpoly_factorization': [[[2880, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 71}
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id: 2084820
{'charpoly_factorization': [[[3136, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 73}
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id: 2084821
{'charpoly_factorization': [[[6084, -78, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 79}
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id: 2084822
{'charpoly_factorization': [[[111936400, 0, 10580, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 83}
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id: 2084823
{'charpoly_factorization': [[[320, 0, 1], 4]], 'hecke_orbit_code': 4504905347761748, 'p': 89}
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id: 2084824
{'charpoly_factorization': [[[1048576, 0, -1024, 0, 1], 2]], 'hecke_orbit_code': 4504905347761748, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 20, 'hecke_orbit': 2, 'label': '1620.3.t.b', 'level': 1620, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 95827000
{'hecke_orbit_code': 4504905347761748, 'n': 1, 'trace_an': 8}
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id: 95827001
{'hecke_orbit_code': 4504905347761748, 'n': 2, 'trace_an': 0}
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id: 95827002
{'hecke_orbit_code': 4504905347761748, 'n': 3, 'trace_an': 0}
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id: 95827003
{'hecke_orbit_code': 4504905347761748, 'n': 4, 'trace_an': 0}
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id: 95827004
{'hecke_orbit_code': 4504905347761748, 'n': 5, 'trace_an': 0}
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id: 95827005
{'hecke_orbit_code': 4504905347761748, 'n': 6, 'trace_an': 0}
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id: 95827006
{'hecke_orbit_code': 4504905347761748, 'n': 7, 'trace_an': 0}
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id: 95827007
{'hecke_orbit_code': 4504905347761748, 'n': 8, 'trace_an': 0}
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id: 95827008
{'hecke_orbit_code': 4504905347761748, 'n': 9, 'trace_an': 0}
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id: 95827009
{'hecke_orbit_code': 4504905347761748, 'n': 10, 'trace_an': 0}
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id: 95827010
{'hecke_orbit_code': 4504905347761748, 'n': 11, 'trace_an': 0}
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id: 95827011
{'hecke_orbit_code': 4504905347761748, 'n': 12, 'trace_an': 0}
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id: 95827012
{'hecke_orbit_code': 4504905347761748, 'n': 13, 'trace_an': 0}
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id: 95827013
{'hecke_orbit_code': 4504905347761748, 'n': 14, 'trace_an': 0}
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id: 95827014
{'hecke_orbit_code': 4504905347761748, 'n': 15, 'trace_an': 0}
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id: 95827015
{'hecke_orbit_code': 4504905347761748, 'n': 16, 'trace_an': 0}
-
id: 95827016
{'hecke_orbit_code': 4504905347761748, 'n': 17, 'trace_an': 0}
-
id: 95827017
{'hecke_orbit_code': 4504905347761748, 'n': 18, 'trace_an': 0}
-
id: 95827018
{'hecke_orbit_code': 4504905347761748, 'n': 19, 'trace_an': -48}
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id: 95827019
{'hecke_orbit_code': 4504905347761748, 'n': 20, 'trace_an': 0}
-
id: 95827020
{'hecke_orbit_code': 4504905347761748, 'n': 21, 'trace_an': 0}
-
id: 95827021
{'hecke_orbit_code': 4504905347761748, 'n': 22, 'trace_an': 0}
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id: 95827022
{'hecke_orbit_code': 4504905347761748, 'n': 23, 'trace_an': 0}
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id: 95827023
{'hecke_orbit_code': 4504905347761748, 'n': 24, 'trace_an': 0}
-
id: 95827024
{'hecke_orbit_code': 4504905347761748, 'n': 25, 'trace_an': 60}
-
id: 95827025
{'hecke_orbit_code': 4504905347761748, 'n': 26, 'trace_an': 0}
-
id: 95827026
{'hecke_orbit_code': 4504905347761748, 'n': 27, 'trace_an': 0}
-
id: 95827027
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