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mf_newforms • Show schema
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{'Nk2': 24300, 'analytic_conductor': 73.56967137728016, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': -1, 'char_values': [2700, 6, [1351, 1001, 2377], [6, 5, 3]], 'cm_discs': [], 'conrey_index': 449, 'conrey_indexes': [449, 2249], 'dim': 8, 'field_disc': 303595776, 'field_disc_factorization': [[2, 8], [3, 4], [11, 4]], 'field_poly': [81, 0, 45, 0, 16, 0, 5, 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, [29986576, 0, -815924, 0, 16725, 0, -149, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504974067239564, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], 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mf_hecke_nf • Show schema
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'hecke_ring_denominators': [1, 432, 144, 216, 48, 144, 16, 216], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 1, 1, 0, 0, 0], [-8, 0, 8, 0, 0, -1, 1, 0], [0, 0, 0, -11, -2, 0, 0, 2], [0, 0, -13, 0, 0, 5, 0, 0], [0, 46, 0, 0, 0, 0, 0, -1], [-7, 0, 0, 0, 0, 0, -16, 0], [0, -131, 0, 131, -13, 0, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 45, 0, 16, 0, 32, 0, 1], [225, 0, 80, 0, 16, 0, 5, 0], [0, 81, 0, 8, 0, 16, 0, 5], [0, 131, 0, 0, 0, 0, 0, -1], [585, 0, 208, 0, 128, 0, 13, 0], [-7, 0, 0, 0, 0, 0, -3, 0], [0, 1035, 0, 368, 0, 88, 0, 23]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '2700.3.u.b', 'level': 2700, 'maxp': 1999, 'weight': 3}
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{'Nk2': 24300, 'analytic_conductor': 73.56967137728016, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': -1, 'char_values': [2700, 6, [1351, 1001, 2377], [6, 5, 3]], 'conrey_index': 449, 'cusp_dim': 2052, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1374439869068, 'hecke_orbit_dims': [8, 8, 24, 32], 'label': '2700.3.u', 'level': 2700, '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': 2268, 'mf_new_dim': 72, 'num_forms': 4, 'prim_orbit_index': 8, 'relative_dim': 36, 'sturm_bound': 1620, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 987611
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '36.3.g.a', 'target_level': 36, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 987612
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '36.3.g.a', 'target_level': 36, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 987613
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '108.3.g.a', 'target_level': 108, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 987614
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '108.3.g.a', 'target_level': 108, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 987615
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.3.q.b', 'target_level': 144, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 987616
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '144.3.q.b', 'target_level': 144, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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id: 987617
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.c.b', 'target_level': 324, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 987618
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '324.3.c.b', 'target_level': 324, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 987619
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.q.b', 'target_level': 432, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 987620
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.3.q.b', 'target_level': 432, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 987621
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.3.q.d', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 3}
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id: 987622
{'conductor': 360, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '576.3.q.d', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bu', 'twisting_char_orbit': 47, 'weight': 3}
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id: 987623
{'conductor': 120, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.3.q.g', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 3}
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id: 987624
{'conductor': 360, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.3.q.g', 'target_level': 576, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bo', 'twisting_char_orbit': 41, 'weight': 3}
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id: 987625
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.p.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 987626
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.p.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 987627
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 987628
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 987629
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 987630
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '900.3.u.a', 'target_level': 900, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 987631
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.3.e.e', 'target_level': 1296, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 3}
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id: 987632
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1296.3.e.e', 'target_level': 1296, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 3}
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id: 987633
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1728.3.q.g', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 3}
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id: 987634
{'conductor': 360, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1728.3.q.g', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.br', 'twisting_char_orbit': 44, 'weight': 3}
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id: 987635
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1728.3.q.h', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 987636
{'conductor': 360, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1728.3.q.h', 'target_level': 1728, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '360.bt', 'twisting_char_orbit': 46, 'weight': 3}
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id: 987637
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.p.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 987638
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.p.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 987639
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 987640
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 987641
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 987642
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2700.3.u.b', 'source_level': 2700, 'target_char_orbit': 21, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2700.3.u.b', 'target_level': 2700, 'twist_class_label': '36.3.g.a', 'twist_class_level': 36, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2805850
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504974067239564, 'p': 2}
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id: 2805851
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504974067239564, 'p': 3}
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id: 2805852
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504974067239564, 'p': 5}
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id: 2805853
{'charpoly_factorization': [[[29986576, 0, -815924, 0, 16725, 0, -149, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 7}
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id: 2805854
{'charpoly_factorization': [[[81, -324, 441, -36, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 11}
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id: 2805855
{'charpoly_factorization': [[[21381376, 0, -744464, 0, 21297, 0, -161, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 13}
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id: 2805856
{'charpoly_factorization': [[[20736, 0, -387, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 17}
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id: 2805857
{'charpoly_factorization': [[[-74, 1, 1], 4]], 'hecke_orbit_code': 4504974067239564, 'p': 19}
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id: 2805858
{'charpoly_factorization': [[[393460125696, 0, 1055685312, 0, 2205225, 0, 1683, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 23}
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id: 2805859
{'charpoly_factorization': [[[777924, -55566, 441, 63, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 29}
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id: 2805860
{'charpoly_factorization': [[[430336, -4592, 705, 7, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 31}
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id: 2805861
{'charpoly_factorization': [[[868624, 0, 2888, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 37}
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id: 2805862
{'charpoly_factorization': [[[2424249, 28026, -1449, -18, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 41}
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id: 2805863
{'charpoly_factorization': [[[279841, 0, -529, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 43}
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id: 2805864
{'charpoly_factorization': [[[11019960576, 0, 161558064, 0, 2263545, 0, 1539, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 47}
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id: 2805865
{'charpoly_factorization': [[[1327104, 0, -4032, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 53}
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id: 2805866
{'charpoly_factorization': [[[68121, 32886, 5031, -126, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 59}
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id: 2805867
{'charpoly_factorization': [[[61504, 10168, 1929, -41, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 61}
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id: 2805868
{'charpoly_factorization': [[[227988105361, 0, -5765105594, 0, 145303995, 0, -12074, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 67}
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id: 2805869
{'charpoly_factorization': [[[331776, 0, 1548, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 71}
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id: 2805870
{'charpoly_factorization': [[[42436, 0, 2261, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 73}
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id: 2805871
{'charpoly_factorization': [[[17956, -11122, 7023, 83, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 79}
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id: 2805872
{'charpoly_factorization': [[[11019960576, 0, 161558064, 0, 2263545, 0, 1539, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 83}
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id: 2805873
{'charpoly_factorization': [[[84934656, 0, 24768, 0, 1], 2]], 'hecke_orbit_code': 4504974067239564, 'p': 89}
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id: 2805874
{'charpoly_factorization': [[[7503067536822001, 0, -1715254170698, 0, 305498955, 0, -19802, 0, 1], 1]], 'hecke_orbit_code': 4504974067239564, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 2, 'label': '2700.3.u.b', 'level': 2700, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 96090000
{'hecke_orbit_code': 4504974067239564, 'n': 1, 'trace_an': 8}
-
id: 96090001
{'hecke_orbit_code': 4504974067239564, 'n': 2, 'trace_an': 0}
-
id: 96090002
{'hecke_orbit_code': 4504974067239564, 'n': 3, 'trace_an': 0}
-
id: 96090003
{'hecke_orbit_code': 4504974067239564, 'n': 4, 'trace_an': 0}
-
id: 96090004
{'hecke_orbit_code': 4504974067239564, 'n': 5, 'trace_an': 0}
-
id: 96090005
{'hecke_orbit_code': 4504974067239564, 'n': 6, 'trace_an': 0}
-
id: 96090006
{'hecke_orbit_code': 4504974067239564, 'n': 7, 'trace_an': 0}
-
id: 96090007
{'hecke_orbit_code': 4504974067239564, 'n': 8, 'trace_an': 0}
-
id: 96090008
{'hecke_orbit_code': 4504974067239564, 'n': 9, 'trace_an': 0}
-
id: 96090009
{'hecke_orbit_code': 4504974067239564, 'n': 10, 'trace_an': 0}
-
id: 96090010
{'hecke_orbit_code': 4504974067239564, 'n': 11, 'trace_an': 72}
-
id: 96090011
{'hecke_orbit_code': 4504974067239564, 'n': 12, 'trace_an': 0}
-
id: 96090012
{'hecke_orbit_code': 4504974067239564, 'n': 13, 'trace_an': 0}
-
id: 96090013
{'hecke_orbit_code': 4504974067239564, 'n': 14, 'trace_an': 0}
-
id: 96090014
{'hecke_orbit_code': 4504974067239564, 'n': 15, 'trace_an': 0}
-
id: 96090015
{'hecke_orbit_code': 4504974067239564, 'n': 16, 'trace_an': 0}
-
id: 96090016
{'hecke_orbit_code': 4504974067239564, 'n': 17, 'trace_an': 0}
-
id: 96090017
{'hecke_orbit_code': 4504974067239564, 'n': 18, 'trace_an': 0}
-
id: 96090018
{'hecke_orbit_code': 4504974067239564, 'n': 19, 'trace_an': -4}
-
id: 96090019
{'hecke_orbit_code': 4504974067239564, 'n': 20, 'trace_an': 0}
-
id: 96090020
{'hecke_orbit_code': 4504974067239564, 'n': 21, 'trace_an': 0}
-
id: 96090021
{'hecke_orbit_code': 4504974067239564, 'n': 22, 'trace_an': 0}
-
id: 96090022
{'hecke_orbit_code': 4504974067239564, 'n': 23, 'trace_an': 0}
-
id: 96090023
{'hecke_orbit_code': 4504974067239564, 'n': 24, 'trace_an': 0}
-
id: 96090024
{'hecke_orbit_code': 4504974067239564, 'n': 25, 'trace_an': 0}
-
id: 96090025
{'hecke_orbit_code': 4504974067239564, 'n': 26, 'trace_an': 0}
-
id: 96090026
{'hecke_orbit_code': 4504974067239564, 'n': 27, 'trace_an': 0}
-
id: 96090027
{'hecke_orbit_code': 4504974067239564, 'n': 28, 'trace_an': 0}
-
id: 96090028
{'hecke_orbit_code': 4504974067239564, 'n': 29, 'trace_an': -126}
-
id: 96090029
{'hecke_orbit_code': 4504974067239564, 'n': 30, 'trace_an': 0}
-
id: 96090030
{'hecke_orbit_code': 4504974067239564, 'n': 31, 'trace_an': -14}
-
id: 96090031
{'hecke_orbit_code': 4504974067239564, 'n': 32, 'trace_an': 0}
-
id: 96090032
{'hecke_orbit_code': 4504974067239564, 'n': 33, 'trace_an': 0}
-
id: 96090033
{'hecke_orbit_code': 4504974067239564, 'n': 34, 'trace_an': 0}
-
id: 96090034
{'hecke_orbit_code': 4504974067239564, 'n': 35, 'trace_an': 0}
-
id: 96090035
{'hecke_orbit_code': 4504974067239564, 'n': 36, 'trace_an': 0}
-
id: 96090036
{'hecke_orbit_code': 4504974067239564, 'n': 37, 'trace_an': 0}
-
id: 96090037
{'hecke_orbit_code': 4504974067239564, 'n': 38, 'trace_an': 0}
-
id: 96090038
{'hecke_orbit_code': 4504974067239564, 'n': 39, 'trace_an': 0}
-
id: 96090039
{'hecke_orbit_code': 4504974067239564, 'n': 40, 'trace_an': 0}
-
id: 96090040
{'hecke_orbit_code': 4504974067239564, 'n': 41, 'trace_an': 36}
-
id: 96090041
{'hecke_orbit_code': 4504974067239564, 'n': 42, 'trace_an': 0}
-
id: 96090042
{'hecke_orbit_code': 4504974067239564, 'n': 43, 'trace_an': 0}
-
id: 96090043
{'hecke_orbit_code': 4504974067239564, 'n': 44, 'trace_an': 0}
-
id: 96090044
{'hecke_orbit_code': 4504974067239564, 'n': 45, 'trace_an': 0}
-
id: 96090045
{'hecke_orbit_code': 4504974067239564, 'n': 46, 'trace_an': 0}
-
id: 96090046
{'hecke_orbit_code': 4504974067239564, 'n': 47, 'trace_an': 0}
-
id: 96090047
{'hecke_orbit_code': 4504974067239564, 'n': 48, 'trace_an': 0}
-
id: 96090048
{'hecke_orbit_code': 4504974067239564, 'n': 49, 'trace_an': 102}
-
id: 96090049
{'hecke_orbit_code': 4504974067239564, 'n': 50, 'trace_an': 0}
-
id: 96090050
{'hecke_orbit_code': 4504974067239564, 'n': 51, 'trace_an': 0}
-
id: 96090051
{'hecke_orbit_code': 4504974067239564, 'n': 52, 'trace_an': 0}
-
id: 96090052
{'hecke_orbit_code': 4504974067239564, 'n': 53, 'trace_an': 0}
-
id: 96090053
{'hecke_orbit_code': 4504974067239564, 'n': 54, 'trace_an': 0}
-
id: 96090054
{'hecke_orbit_code': 4504974067239564, 'n': 55, 'trace_an': 0}
-
id: 96090055
{'hecke_orbit_code': 4504974067239564, 'n': 56, 'trace_an': 0}
-
id: 96090056
{'hecke_orbit_code': 4504974067239564, 'n': 57, 'trace_an': 0}
-
id: 96090057
{'hecke_orbit_code': 4504974067239564, 'n': 58, 'trace_an': 0}
-
id: 96090058
{'hecke_orbit_code': 4504974067239564, 'n': 59, 'trace_an': 252}
-
id: 96090059
{'hecke_orbit_code': 4504974067239564, 'n': 60, 'trace_an': 0}
-
id: 96090060
{'hecke_orbit_code': 4504974067239564, 'n': 61, 'trace_an': 82}
-
id: 96090061
{'hecke_orbit_code': 4504974067239564, 'n': 62, 'trace_an': 0}
-
id: 96090062
{'hecke_orbit_code': 4504974067239564, 'n': 63, 'trace_an': 0}
-
id: 96090063
{'hecke_orbit_code': 4504974067239564, 'n': 64, 'trace_an': 0}
-
id: 96090064
{'hecke_orbit_code': 4504974067239564, 'n': 65, 'trace_an': 0}
-
id: 96090065
{'hecke_orbit_code': 4504974067239564, 'n': 66, 'trace_an': 0}
-
id: 96090066
{'hecke_orbit_code': 4504974067239564, 'n': 67, 'trace_an': 0}
-
id: 96090067
{'hecke_orbit_code': 4504974067239564, 'n': 68, 'trace_an': 0}
-
id: 96090068
{'hecke_orbit_code': 4504974067239564, 'n': 69, 'trace_an': 0}
-
id: 96090069
{'hecke_orbit_code': 4504974067239564, 'n': 70, 'trace_an': 0}
-
id: 96090070
{'hecke_orbit_code': 4504974067239564, 'n': 71, 'trace_an': 0}
-
id: 96090071
{'hecke_orbit_code': 4504974067239564, 'n': 72, 'trace_an': 0}
-
id: 96090072
{'hecke_orbit_code': 4504974067239564, 'n': 73, 'trace_an': 0}
-
id: 96090073
{'hecke_orbit_code': 4504974067239564, 'n': 74, 'trace_an': 0}
-
id: 96090074
{'hecke_orbit_code': 4504974067239564, 'n': 75, 'trace_an': 0}
-
id: 96090075
{'hecke_orbit_code': 4504974067239564, 'n': 76, 'trace_an': 0}
-
id: 96090076
{'hecke_orbit_code': 4504974067239564, 'n': 77, 'trace_an': 0}
-
id: 96090077
{'hecke_orbit_code': 4504974067239564, 'n': 78, 'trace_an': 0}
-
id: 96090078
{'hecke_orbit_code': 4504974067239564, 'n': 79, 'trace_an': -166}
-
id: 96090079
{'hecke_orbit_code': 4504974067239564, 'n': 80, 'trace_an': 0}
-
id: 96090080
{'hecke_orbit_code': 4504974067239564, 'n': 81, 'trace_an': 0}
-
id: 96090081
{'hecke_orbit_code': 4504974067239564, 'n': 82, 'trace_an': 0}
-
id: 96090082
{'hecke_orbit_code': 4504974067239564, 'n': 83, 'trace_an': 0}
-
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