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{'Nk2': 14700, 'analytic_conductor': 29.34502274282054, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3675, 1, [1226, 1177, 2551], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1]], [11, [-4, 1]], [13, [2, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189374555, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3675.2.a.n', 'level': 3675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '21.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/Q/3675/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3675.2.a', 'trace_display': [1, 1, 0, 0], 'trace_hash': 980299494559147339, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.907', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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3675, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [7, -1]], 21, 8], [[[3, 1], [5, 1], [7, -1]], 18, 9], [[[3, 1], [5, -1], [7, -1]], 17, 7], [[[3, 1], [5, 1], [7, 1]], 14, 7], [[[3, -1], [5, -1], [7, 1]], 13, 4], [[[3, 1], [5, -1], [7, 1]], 16, 4], [[[3, -1], [5, 1], [7, -1]], 12, 9], [[[3, -1], [5, 1], [7, 1]], 18, 6]], 'ALdims': [14, 18, 16, 17, 18, 12, 13, 21], 'Nk2': 14700, 'analytic_conductor': 29.34502274282054, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3675, 1, [1226, 1177, 2551], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 513, 'dim': 129, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 33558107, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '3675.2.a', 'level': 3675, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 608, 'mf_new_dim': 129, 'num_forms': 54, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 129, 'sturm_bound': 1120, 'trace_bound': 13, 'trace_display': [-3, -1, 0, 0], 'traces': [129, -3, -1, 123, 0, -1, 0, -3, 129, 0, 4, -7, -10, 0, 0, 115, -6, -3, -2, 0, 0, -20, 16, -9, 0, 10, -1, 0, 10, 0, 6, -19, 4, 26, 0, 123, 8, 4, -2, 0, 38, 0, 14, -4, 0, -24, 24, 1, 0, 0, -6, 10, -54, -1, 0, 0, 6, -34, 32, 0, -4, 24, 0, 107, 0, 20, 26, -10, -4, 0, 28, -3, -14, -10, 0, -16, 0, 22, -10, 0, 129, -18, -20, 0, 0, 12, 2, 76, -2, 0, 0, 104, 18, -16, 0, 31, 10, 0, 4, 0, 42, 30, 0, 46, 0, 154, -12, -7, 46, 0, -22, 0, -70, 28, 0, 90, -10, 36, 0, 0, 101, 2, -18, 36, 0, 0, 26, 85, -26, 0, -4, -20, 0, -20, 0, 122, -26, 8, -76, 0, -16, 104, 40, 115, 0, 42, 0, 106, 2, 0, -6, 68, -6, 0, 0, 62, 6, 100, -2, 0, 0, -3, 60, 74, 0, 12, -16, 0, 175, 0, -2, 96, -10, 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mf_twists_cc • Show schema
Hide schema
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id: 47641843
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189374555, 'target_is_minimal': False, 'target_label': '3675.2.a.n.1.1', 'target_level': 3675, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47641844
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554579, 'target_is_minimal': False, 'target_label': '147.2.a.a.1.1', 'target_level': 147, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47641845
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666445, 'target_is_minimal': False, 'target_label': '525.2.a.d.1.1', 'target_level': 525, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47641846
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407353, 'target_is_minimal': False, 'target_label': '441.2.a.f.1.1', 'target_level': 441, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47641847
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208337200, 'target_is_minimal': False, 'target_label': '2352.2.a.v.1.1', 'target_level': 2352, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47641848
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296999, 'target_is_minimal': False, 'target_label': '1575.2.a.c.1.1', 'target_level': 1575, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47641849
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501012176, 'target_is_minimal': False, 'target_label': '8400.2.a.bn.1.1', 'target_level': 8400, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47641850
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202515, 'target_is_minimal': False, 'target_label': '147.2.e.c.79.1', 'target_level': 147, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47641851
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202515, 'target_is_minimal': False, 'target_label': '147.2.e.c.67.1', 'target_level': 147, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 47641852
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985165, 'target_is_minimal': False, 'target_label': '525.2.d.a.274.1', 'target_level': 525, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 47641853
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832019, 'target_is_minimal': False, 'target_label': '147.2.e.b.67.1', 'target_level': 147, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47641854
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832019, 'target_is_minimal': False, 'target_label': '147.2.e.b.79.1', 'target_level': 147, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 47641855
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191985165, 'target_is_minimal': False, 'target_label': '525.2.d.a.274.2', 'target_level': 525, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 47641856
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554453, 'target_is_minimal': True, 'target_label': '21.2.a.a.1.1', 'target_level': 21, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47641857
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562009792, 'target_is_minimal': False, 'target_label': '9408.2.a.m.1.1', 'target_level': 9408, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47641858
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519977152, 'target_is_minimal': False, 'target_label': '9408.2.a.bv.1.1', 'target_level': 9408, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47641859
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444118928, 'target_is_minimal': False, 'target_label': '7056.2.a.p.1.1', 'target_level': 7056, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 47641860
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832313, 'target_is_minimal': False, 'target_label': '441.2.e.b.361.1', 'target_level': 441, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 47641861
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461817, 'target_is_minimal': False, 'target_label': '441.2.e.a.226.1', 'target_level': 441, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47641862
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1324, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191986215, 'target_is_minimal': False, 'target_label': '1575.2.d.a.1324.1', 'target_level': 1575, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 47641863
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 226, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832313, 'target_is_minimal': False, 'target_label': '441.2.e.b.226.1', 'target_level': 441, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 47641864
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1324, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191986215, 'target_is_minimal': False, 'target_label': '1575.2.d.a.1324.2', 'target_level': 1575, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
-
id: 47641865
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461817, 'target_is_minimal': False, 'target_label': '441.2.e.a.361.1', 'target_level': 441, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 2}
-
id: 47641866
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554495, 'target_is_minimal': False, 'target_label': '63.2.a.a.1.1', 'target_level': 63, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 47641867
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1537, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583890974705968, 'target_is_minimal': False, 'target_label': '2352.2.q.x.1537.1', 'target_level': 2352, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '140.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 47641868
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498054666544, 'target_is_minimal': False, 'target_label': '2352.2.q.e.961.1', 'target_level': 2352, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '140.39', 'twisting_conrey_index': 39, 'weight': 2}
-
id: 47641869
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 961, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103583890974705968, 'target_is_minimal': False, 'target_label': '2352.2.q.x.961.1', 'target_level': 2352, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '140.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 47641870
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1537, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498054666544, 'target_is_minimal': False, 'target_label': '2352.2.q.e.1537.1', 'target_level': 2352, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '140.79', 'twisting_conrey_index': 79, 'weight': 2}
-
id: 47641871
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554768, 'target_is_minimal': False, 'target_label': '336.2.a.a.1.1', 'target_level': 336, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
-
id: 47641872
{'conductor': 280, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778752, 'target_is_minimal': False, 'target_label': '1344.2.a.g.1.1', 'target_level': 1344, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '280.69', 'twisting_conrey_index': 69, 'weight': 2}
-
id: 47641873
{'conductor': 280, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224704, 'target_is_minimal': False, 'target_label': '1344.2.a.s.1.1', 'target_level': 1344, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '280.139', 'twisting_conrey_index': 139, 'weight': 2}
-
id: 47641874
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 190, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021941395161655, 'target_is_minimal': False, 'target_label': '567.2.f.g.190.1', 'target_level': 567, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '315.34', 'twisting_conrey_index': 34, 'weight': 2}
-
id: 47641875
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309175, 'target_is_minimal': False, 'target_label': '567.2.f.b.379.1', 'target_level': 567, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '315.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 47641876
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 379, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021941395161655, 'target_is_minimal': False, 'target_label': '567.2.f.g.379.1', 'target_level': 567, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '315.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 47641877
{'conductor': 315, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 190, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258309175, 'target_is_minimal': False, 'target_label': '567.2.f.b.190.1', 'target_level': 567, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '315.209', 'twisting_conrey_index': 209, 'weight': 2}
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id: 47641878
{'conductor': 385, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679891437, 'target_is_minimal': False, 'target_label': '2541.2.a.j.1.1', 'target_level': 2541, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '385.384', 'twisting_conrey_index': 384, 'weight': 2}
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id: 47641879
{'conductor': 420, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934630896, 'target_is_minimal': False, 'target_label': '1008.2.a.l.1.1', 'target_level': 1008, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '420.419', 'twisting_conrey_index': 419, 'weight': 2}
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id: 47641880
{'conductor': 455, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288298973, 'target_is_minimal': False, 'target_label': '3549.2.a.c.1.1', 'target_level': 3549, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '455.454', 'twisting_conrey_index': 454, 'weight': 2}
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id: 47641881
{'conductor': 560, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561331137811712, 'target_is_minimal': False, 'target_label': '5376.2.c.r.2689.1', 'target_level': 5376, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '560.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 47641882
{'conductor': 560, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539733373588736, 'target_is_minimal': False, 'target_label': '5376.2.c.l.2689.2', 'target_level': 5376, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '560.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 47641883
{'conductor': 560, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561331137811712, 'target_is_minimal': False, 'target_label': '5376.2.c.r.2689.2', 'target_level': 5376, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '560.349', 'twisting_conrey_index': 349, 'weight': 2}
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id: 47641884
{'conductor': 560, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 2689, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539733373588736, 'target_is_minimal': False, 'target_label': '5376.2.c.l.2689.1', 'target_level': 5376, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '560.419', 'twisting_conrey_index': 419, 'weight': 2}
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id: 47641885
{'conductor': 595, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660930997, 'target_is_minimal': False, 'target_label': '6069.2.a.b.1.1', 'target_level': 6069, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '595.594', 'twisting_conrey_index': 594, 'weight': 2}
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id: 47641886
{'conductor': 665, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915673501, 'target_is_minimal': False, 'target_label': '7581.2.a.d.1.1', 'target_level': 7581, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '665.664', 'twisting_conrey_index': 664, 'weight': 2}
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id: 47641887
{'conductor': 840, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307263424, 'target_is_minimal': False, 'target_label': '4032.2.a.k.1.1', 'target_level': 4032, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '840.419', 'twisting_conrey_index': 419, 'weight': 2}
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id: 47641888
{'conductor': 840, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425151936, 'target_is_minimal': False, 'target_label': '4032.2.a.h.1.1', 'target_level': 4032, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '840.629', 'twisting_conrey_index': 629, 'weight': 2}
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id: 47641889
{'conductor': 1155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58546795189374555, 'source_is_minimal': False, 'source_label': '3675.2.a.n.1.1', 'source_level': 3675, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797785031, 'target_is_minimal': False, 'target_label': '7623.2.a.g.1.1', 'target_level': 7623, 'twist_class_label': '21.2.a.a.1.1', 'twist_class_level': 21, 'twisting_char_label': '1155.1154', 'twisting_conrey_index': 1154, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3305475
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 2}
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id: 3305476
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 3}
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id: 3305477
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 5}
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id: 3305478
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 7}
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id: 3305479
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 11}
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id: 3305480
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 13}
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id: 3305481
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 17}
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id: 3305482
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 19}
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id: 3305483
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 23}
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id: 3305484
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 29}
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id: 3305485
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 31}
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id: 3305486
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 37}
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id: 3305487
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 41}
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id: 3305488
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 43}
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id: 3305489
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 47}
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id: 3305490
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 53}
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id: 3305491
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 59}
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id: 3305492
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 61}
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id: 3305493
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 67}
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id: 3305494
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 71}
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id: 3305495
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 73}
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id: 3305496
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 79}
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id: 3305497
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 83}
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id: 3305498
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 89}
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id: 3305499
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 58546795189374555, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '3675.2.a.n', 'level': 3675, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 226615000
{'hecke_orbit_code': 58546795189374555, 'n': 1, 'trace_an': 1}
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id: 226615001
{'hecke_orbit_code': 58546795189374555, 'n': 2, 'trace_an': 1}
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id: 226615002
{'hecke_orbit_code': 58546795189374555, 'n': 3, 'trace_an': 1}
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