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mf_newforms • Show schema
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{'Nk2': 10800, 'analytic_conductor': 21.559608545745704, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [2700, 6, [1351, 1001, 2377], [6, 2, 3]], 'cm_discs': [], 'conrey_index': 1549, 'dim': 16, 'field_disc': 1333317747165888577536, 'field_disc_factorization': [[2, 16], [3, 8], [1327, 4]], 'field_poly': [256, 0, 192, 0, 80, 0, 60, 0, 45, 0, 15, 0, 5, 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, [1, 0, -136, 0, 18190, 0, -41542, 0, 88603, 0, -11050, 0, 1063, 0, -37, 0, 1]], [11, [729, 1215, 1620, 837, 387, 45, 24, 3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512035866249868, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 59049, 'hecke_ring_index_factorization': [[3, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 10800, 'analytic_conductor': 21.559608545745704, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [2700, 6, [1351, 1001, 2377], [6, 2, 3]], 'conrey_index': 1549, 'cusp_dim': 972, 'dim': 36, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 1236984138380, 'hecke_orbit_dims': [4, 4, 12, 16], 'label': '2700.2.s', 'level': 2700, 'level_is_powerful': True, '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': 1188, 'mf_new_dim': 36, 'num_forms': 4, 'prim_orbit_index': 10, 'relative_dim': 18, 'sturm_bound': 1080, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 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, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -12, 0, 0, 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, 36, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 36, 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, 240, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, 132, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 408, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 252, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, -246, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, -324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, -210, 0, 0, 0, 0, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 348, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 528, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43621138
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 2449, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.2449.4', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43621139
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.349.3', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 43621140
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1801, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298853004, 'target_is_minimal': False, 'target_label': '2700.2.i.e.1801.3', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 43621141
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1801, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671482508, 'target_is_minimal': False, 'target_label': '2700.2.i.d.1801.2', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43621142
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 2449, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.2449.5', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43621143
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 72057800229920676, 'target_is_minimal': False, 'target_label': '8100.2.d.q.649.5', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43621144
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1549, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.1549.5', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43621145
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.49.6', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43621146
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 81064999484661668, 'target_is_minimal': False, 'target_label': '8100.2.d.s.649.5', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43621147
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 601, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480708, 'target_is_minimal': True, 'target_label': '900.2.i.d.601.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43621148
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 601, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851204, 'target_is_minimal': True, 'target_label': '900.2.i.e.601.1', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43621149
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.349.6', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43621150
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463083940, 'target_is_minimal': False, 'target_label': '8100.2.a.x.1.2', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43621151
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1549, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.1549.4', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43621152
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090454436, 'target_is_minimal': False, 'target_label': '8100.2.a.y.1.2', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43621153
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671482508, 'target_is_minimal': False, 'target_label': '2700.2.i.d.901.2', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 43621154
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.49.3', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 43621155
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298853004, 'target_is_minimal': False, 'target_label': '2700.2.i.e.901.3', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43621156
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298851204, 'target_is_minimal': True, 'target_label': '900.2.i.e.301.1', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 43621157
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057800229920676, 'target_is_minimal': False, 'target_label': '8100.2.d.q.649.4', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 43621158
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480708, 'target_is_minimal': True, 'target_label': '900.2.i.d.301.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43621159
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81064999484661668, 'target_is_minimal': False, 'target_label': '8100.2.d.s.649.4', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 43621160
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 112589990717824932, 'target_is_minimal': False, 'target_label': '8100.2.a.z.1.3', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 43621161
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2449, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 13512035866249868, 'source_is_minimal': False, 'source_label': '2700.2.s.d.2449.4', 'source_level': 2700, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345195428, 'target_is_minimal': False, 'target_label': '8100.2.a.ba.1.3', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.4', 'twist_class_level': 900, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2804375
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512035866249868, 'p': 2}
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id: 2804376
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512035866249868, 'p': 3}
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id: 2804377
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 13512035866249868, 'p': 5}
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id: 2804378
{'charpoly_factorization': [[[1, 0, -136, 0, 18190, 0, -41542, 0, 88603, 0, -11050, 0, 1063, 0, -37, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 7}
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id: 2804379
{'charpoly_factorization': [[[729, 1215, 1620, 837, 387, 45, 24, 3, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 11}
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id: 2804380
{'charpoly_factorization': [[[3418801, 0, -2864101, 0, 1633915, 0, -493366, 0, 107587, 0, -13462, 0, 1186, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 13}
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id: 2804381
{'charpoly_factorization': [[[729, 0, 972, 0, 414, 0, 57, 0, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 17}
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id: 2804382
{'charpoly_factorization': [[[-23, 80, -27, -4, 1], 4]], 'hecke_orbit_code': 13512035866249868, 'p': 19}
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id: 2804383
{'charpoly_factorization': [[[531441, 0, -45762975, 0, 3936127608, 0, -393573249, 0, 30121875, 0, -796581, 0, 15336, 0, -147, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 23}
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id: 2804384
{'charpoly_factorization': [[[1347921, 773226, 373896, 60858, 10755, 792, 141, 9, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 29}
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id: 2804385
{'charpoly_factorization': [[[625, -925, 1819, 566, 373, 38, 22, 2, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 31}
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id: 2804386
{'charpoly_factorization': [[[9409, 0, 8095, 0, 1761, 0, 79, 0, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 37}
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id: 2804387
{'charpoly_factorization': [[[6561, -32805, 167670, 16767, 5589, 405, 126, 9, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 41}
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id: 2804388
{'charpoly_factorization': [[[1874161, 0, -251583868, 0, 33758767378, 0, -1795716592, 0, 63920923, 0, -1313584, 0, 19810, 0, -172, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 43}
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id: 2804389
{'charpoly_factorization': [[[996005996001, 0, -229418473878, 0, 38445734457, 0, -2825433414, 0, 150590340, 0, -3089286, 0, 46089, 0, -246, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 47}
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id: 2804390
{'charpoly_factorization': [[[7733961, 0, 819477, 0, 26550, 0, 300, 0, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 53}
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id: 2804391
{'charpoly_factorization': [[[101425041, 26466588, 5758290, 601722, 62487, 3546, 339, 15, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 59}
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id: 2804392
{'charpoly_factorization': [[[100489, -98587, 72946, -23959, 6253, -547, 76, -1, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 61}
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id: 2804393
{'charpoly_factorization': [[[66625573677601, 0, -6836704033420, 0, 489920603626, 0, -16997203558, 0, 421934407, 0, -5817454, 0, 57595, 0, -289, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 67}
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id: 2804394
{'charpoly_factorization': [[[-729, 891, -72, -12, 1], 4]], 'hecke_orbit_code': 13512035866249868, 'p': 71}
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id: 2804395
{'charpoly_factorization': [[[265225, 0, 73489, 0, 4974, 0, 124, 0, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 73}
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id: 2804396
{'charpoly_factorization': [[[240033049, -13463417, 4427002, -10949, 46759, 79, 286, 7, 1], 2]], 'hecke_orbit_code': 13512035866249868, 'p': 79}
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id: 2804397
{'charpoly_factorization': [[[187213570125201, 0, -16288548138657, 0, 962296116003, 0, -30383225550, 0, 691620363, 0, -8789742, 0, 79650, 0, -336, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 83}
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id: 2804398
{'charpoly_factorization': [[[5913, -513, -243, -3, 1], 4]], 'hecke_orbit_code': 13512035866249868, 'p': 89}
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id: 2804399
{'charpoly_factorization': [[[16354914662641, 0, -3995021326939, 0, 858921556924, 0, -26179887313, 0, 540730363, 0, -6554797, 0, 58108, 0, -295, 0, 1], 1]], 'hecke_orbit_code': 13512035866249868, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 4, 'label': '2700.2.s.d', 'level': 2700, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37489957
{'hecke_orbit_code': 13512035866249868, 'n': 1, 'trace_an': 16}
-
id: 37489958
{'hecke_orbit_code': 13512035866249868, 'n': 2, 'trace_an': 0}
-
id: 37489959
{'hecke_orbit_code': 13512035866249868, 'n': 3, 'trace_an': 0}
-
id: 37489960
{'hecke_orbit_code': 13512035866249868, 'n': 4, 'trace_an': 0}
-
id: 37489961
{'hecke_orbit_code': 13512035866249868, 'n': 5, 'trace_an': 0}
-
id: 37489962
{'hecke_orbit_code': 13512035866249868, 'n': 6, 'trace_an': 0}
-
id: 37489963
{'hecke_orbit_code': 13512035866249868, 'n': 7, 'trace_an': 0}
-
id: 37489964
{'hecke_orbit_code': 13512035866249868, 'n': 8, 'trace_an': 0}
-
id: 37489965
{'hecke_orbit_code': 13512035866249868, 'n': 9, 'trace_an': 0}
-
id: 37489966
{'hecke_orbit_code': 13512035866249868, 'n': 10, 'trace_an': 0}
-
id: 37489967
{'hecke_orbit_code': 13512035866249868, 'n': 11, 'trace_an': -6}
-
id: 37489968
{'hecke_orbit_code': 13512035866249868, 'n': 12, 'trace_an': 0}
-
id: 37489969
{'hecke_orbit_code': 13512035866249868, 'n': 13, 'trace_an': 0}
-
id: 37489970
{'hecke_orbit_code': 13512035866249868, 'n': 14, 'trace_an': 0}
-
id: 37489971
{'hecke_orbit_code': 13512035866249868, 'n': 15, 'trace_an': 0}
-
id: 37489972
{'hecke_orbit_code': 13512035866249868, 'n': 16, 'trace_an': 0}
-
id: 37489973
{'hecke_orbit_code': 13512035866249868, 'n': 17, 'trace_an': 0}
-
id: 37489974
{'hecke_orbit_code': 13512035866249868, 'n': 18, 'trace_an': 0}
-
id: 37489975
{'hecke_orbit_code': 13512035866249868, 'n': 19, 'trace_an': 16}
-
id: 37489976
{'hecke_orbit_code': 13512035866249868, 'n': 20, 'trace_an': 0}
-
id: 37489977
{'hecke_orbit_code': 13512035866249868, 'n': 21, 'trace_an': 0}
-
id: 37489978
{'hecke_orbit_code': 13512035866249868, 'n': 22, 'trace_an': 0}
-
id: 37489979
{'hecke_orbit_code': 13512035866249868, 'n': 23, 'trace_an': 0}
-
id: 37489980
{'hecke_orbit_code': 13512035866249868, 'n': 24, 'trace_an': 0}
-
id: 37489981
{'hecke_orbit_code': 13512035866249868, 'n': 25, 'trace_an': 0}
-
id: 37489982
{'hecke_orbit_code': 13512035866249868, 'n': 26, 'trace_an': 0}
-
id: 37489983
{'hecke_orbit_code': 13512035866249868, 'n': 27, 'trace_an': 0}
-
id: 37489984
{'hecke_orbit_code': 13512035866249868, 'n': 28, 'trace_an': 0}
-
id: 37489985
{'hecke_orbit_code': 13512035866249868, 'n': 29, 'trace_an': -18}
-
id: 37489986
{'hecke_orbit_code': 13512035866249868, 'n': 30, 'trace_an': 0}
-
id: 37489987
{'hecke_orbit_code': 13512035866249868, 'n': 31, 'trace_an': -4}
-
id: 37489988
{'hecke_orbit_code': 13512035866249868, 'n': 32, 'trace_an': 0}
-
id: 37489989
{'hecke_orbit_code': 13512035866249868, 'n': 33, 'trace_an': 0}
-
id: 37489990
{'hecke_orbit_code': 13512035866249868, 'n': 34, 'trace_an': 0}
-
id: 37489991
{'hecke_orbit_code': 13512035866249868, 'n': 35, 'trace_an': 0}
-
id: 37489992
{'hecke_orbit_code': 13512035866249868, 'n': 36, 'trace_an': 0}
-
id: 37489993
{'hecke_orbit_code': 13512035866249868, 'n': 37, 'trace_an': 0}
-
id: 37489994
{'hecke_orbit_code': 13512035866249868, 'n': 38, 'trace_an': 0}
-
id: 37489995
{'hecke_orbit_code': 13512035866249868, 'n': 39, 'trace_an': 0}
-
id: 37489996
{'hecke_orbit_code': 13512035866249868, 'n': 40, 'trace_an': 0}
-
id: 37489997
{'hecke_orbit_code': 13512035866249868, 'n': 41, 'trace_an': -18}
-
id: 37489998
{'hecke_orbit_code': 13512035866249868, 'n': 42, 'trace_an': 0}
-
id: 37489999
{'hecke_orbit_code': 13512035866249868, 'n': 43, 'trace_an': 0}
-
id: 37490000
{'hecke_orbit_code': 13512035866249868, 'n': 44, 'trace_an': 0}
-
id: 37490001
{'hecke_orbit_code': 13512035866249868, 'n': 45, 'trace_an': 0}
-
id: 37490002
{'hecke_orbit_code': 13512035866249868, 'n': 46, 'trace_an': 0}
-
id: 37490003
{'hecke_orbit_code': 13512035866249868, 'n': 47, 'trace_an': 0}
-
id: 37490004
{'hecke_orbit_code': 13512035866249868, 'n': 48, 'trace_an': 0}
-
id: 37490005
{'hecke_orbit_code': 13512035866249868, 'n': 49, 'trace_an': 18}
-
id: 37490006
{'hecke_orbit_code': 13512035866249868, 'n': 50, 'trace_an': 0}
-
id: 37490007
{'hecke_orbit_code': 13512035866249868, 'n': 51, 'trace_an': 0}
-
id: 37490008
{'hecke_orbit_code': 13512035866249868, 'n': 52, 'trace_an': 0}
-
id: 37490009
{'hecke_orbit_code': 13512035866249868, 'n': 53, 'trace_an': 0}
-
id: 37490010
{'hecke_orbit_code': 13512035866249868, 'n': 54, 'trace_an': 0}
-
id: 37490011
{'hecke_orbit_code': 13512035866249868, 'n': 55, 'trace_an': 0}
-
id: 37490012
{'hecke_orbit_code': 13512035866249868, 'n': 56, 'trace_an': 0}
-
id: 37490013
{'hecke_orbit_code': 13512035866249868, 'n': 57, 'trace_an': 0}
-
id: 37490014
{'hecke_orbit_code': 13512035866249868, 'n': 58, 'trace_an': 0}
-
id: 37490015
{'hecke_orbit_code': 13512035866249868, 'n': 59, 'trace_an': -30}
-
id: 37490016
{'hecke_orbit_code': 13512035866249868, 'n': 60, 'trace_an': 0}
-
id: 37490017
{'hecke_orbit_code': 13512035866249868, 'n': 61, 'trace_an': 2}
-
id: 37490018
{'hecke_orbit_code': 13512035866249868, 'n': 62, 'trace_an': 0}
-
id: 37490019
{'hecke_orbit_code': 13512035866249868, 'n': 63, 'trace_an': 0}
-
id: 37490020
{'hecke_orbit_code': 13512035866249868, 'n': 64, 'trace_an': 0}
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