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mf_newforms • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 1]], [13, [1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785911, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '567.2.g.b', 'level': 567, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '189.2.e.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1+\\zeta_{6})q^{2}+\\zeta_{6}q^{4}-4q^{5}+(2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.g', 'trace_display': [-1, 0, -8, 1], 'trace_hash': 77304198655494146, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.948', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.518', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'conrey_index': 109, 'cusp_dim': 120, 'dim': 60, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 412350415415, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 16], 'label': '567.2.g', 'level': 567, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 168, 'mf_new_dim': 68, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 30, 'sturm_bound': 144, 'trace_bound': 7, 'trace_display': [0, 0, 0, -3], 'traces': [60, 0, 0, -30, 0, 0, -3, 0, 0, 6, 0, 0, 9, 0, 0, -30, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, -12, 0, 0, 18, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 24, 0, 0, -6, 0, 0, -27, 0, 0, -36, 0, 0, -48, 0, 0, -48, 0, 0, -15, 0, 0, 48, 0, 0, -3, 0, 0, -30, 0, 0, 0, 0, 0, -48, 0, 0, 45, 0, 0, -6, 0, 0, 6, 0, 0, 36, 0, 0, -51, 0, 0, 30, 0, 0, 9, 0, 0, -12, 0, 0, 126, 0, 0, -30, 0, 0, 48, 0, 0, 150, 0, 0, -36, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, -96, 0, 0, 30, 0, 0, -57, 0, 0, -48, 0, 0, -9, 0, 0, 6, 0, 0, 12, 0, 0, -30, 0, 0, -66, 0, 0, 78, 0, 0, -126, 0, 0, -6, 0, 0, -15, 0, 0, 36, 0, 0, 21, 0, 0, 36, 0, 0, -63, 0, 0, 96, 0, 0, 204, 0, 0, 108, 0, 0, 24, 0, 0, 132, 0, 0, -81, 0, 0, -72, 0, 0, 69, 0, 0, 138, 0, 0, -126, 0, 0, -162, 0, 0, 51, 0, 0, 156, 0, 0, -27, 0, 0, 66, 0, 0, -24, 0, 0, 108, 0, 0, -204, 0, 0, 102, 0, 0, -6, 0, 0, -168, 0, 0, -294, 0, 0, 96, 0, 0, 6, 0, 0, 48, 0, 0, 204, 0, 0, 102, 0, 0, 102, 0, 0, -264, 0, 0, -204, 0, 0, 156, 0, 0, -3, 0, 0, 24, 0, 0, -60, 0, 0, -318, 0, 0, 90, 0, 0, 120, 0, 0, -66, 0, 0, -276, 0, 0, -12, 0, 0, 78, 0, 0, 141, 0, 0, 108, 0, 0, -120, 0, 0, -108, 0, 0, 48, 0, 0, -240, 0, 0, 18, 0, 0, -216, 0, 0, -3, 0, 0, 54, 0, 0, -24, 0, 0, 66, 0, 0, -6, 0, 0, -384, 0, 0, 66, 0, 0, -180, 0, 0, 21, 0, 0, 24, 0, 0, 96, 0, 0, 114, 0, 0, -6, 0, 0, 30, 0, 0, 132, 0, 0, 756, 0, 0, 276, 0, 0, 0, 0, 0, -54, 0, 0, 12, 0, 0, 174, 0, 0, 300, 0, 0, 54, 0, 0, -174, 0, 0, 66, 0, 0, 180, 0, 0, 390, 0, 0, 168, 0, 0, -27, 0, 0, -192, 0, 0, 102, 0, 0, -180, 0, 0, -90, 0, 0, -18, 0, 0, -147, 0, 0, -384, 0, 0, -132, 0, 0, -444, 0, 0, 42, 0, 0, 204, 0, 0, 6, 0, 0, 252, 0, 0, -174, 0, 0, 42, 0, 0, 144, 0, 0, 120, 0, 0, -78, 0, 0, 0, 0, 0, -222, 0, 0, 192, 0, 0, -120, 0, 0, -126, 0, 0, 378, 0, 0, -66, 0, 0, -90, 0, 0, 114, 0, 0, 240, 0, 0, -540, 0, 0, 60, 0, 0, -192, 0, 0, -180, 0, 0, 114, 0, 0, 30, 0, 0, 48, 0, 0, -36, 0, 0, -150, 0, 0, -39, 0, 0, -306, 0, 0, -276, 0, 0, 276, 0, 0, -72, 0, 0, 144, 0, 0, -114, 0, 0, 60, 0, 0, -123, 0, 0, -306, 0, 0, 117, 0, 0, 756, 0, 0, -102, 0, 0, 612, 0, 0, 42, 0, 0, -384, 0, 0, -30, 0, 0, -366, 0, 0, 153, 0, 0, 330, 0, 0, -30, 0, 0, -378, 0, 0, -54, 0, 0, 96, 0, 0, -30, 0, 0, 306, 0, 0, 216, 0, 0, 294, 0, 0, -36, 0, 0, -6, 0, 0, -51, 0, 0, -546, 0, 0, -438, 0, 0, -144, 0, 0, -324, 0, 0, -126, 0, 0, 162, 0, 0, -54, 0, 0, -174, 0, 0, -150, 0, 0, -270, 0, 0, 408, 0, 0, 84, 0, 0, -156, 0, 0, 12, 0, 0, -156, 0, 0, 108, 0, 0, -192, 0, 0, -138, 0, 0, 144, 0, 0, -102, 0, 0, 12, 0, 0, 381, 0, 0, -120, 0, 0, -384, 0, 0, -384, 0, 0, 114, 0, 0, -72, 0, 0, 54, 0, 0, 366, 0, 0, -9, 0, 0, 126, 0, 0, 51, 0, 0, 210, 0, 0, 150, 0, 0, -24, 0, 0, 513, 0, 0, -450, 0, 0, 108, 0, 0, -48, 0, 0, -24, 0, 0, 102, 0, 0, 96, 0, 0, -138, 0, 0, 288, 0, 0, 636, 0, 0, 228, 0, 0, -96, 0, 0, 354, 0, 0, -342, 0, 0, 174, 0, 0, 366, 0, 0, 144, 0, 0, -360, 0, 0, 0, 0, 0, 330, 0, 0, 216, 0, 0, 234, 0, 0, 123, 0, 0, -96, 0, 0, 222, 0, 0, 120, 0, 0, 258, 0, 0, 162, 0, 0, -180, 0, 0, -912, 0, 0, 168, 0, 0, -276, 0, 0, -228, 0, 0, 168, 0, 0, -21, 0, 0, 252, 0, 0, -180, 0, 0, -372, 0, 0, 144, 0, 0, -96, 0, 0, 120, 0, 0, -132, 0, 0, -393, 0, 0, -54, 0, 0, 54, 0, 0, -276, 0, 0, -78, 0, 0, -324, 0, 0, 252, 0, 0, 246, 0, 0, 450, 0, 0, -168, 0, 0, -30, 0, 0, -198, 0, 0, -564, 0, 0, 60, 0, 0, -453, 0, 0, -6, 0, 0, 126, 0, 0, -120, 0, 0, 78, 0, 0, -150, 0, 0, -90, 0, 0, 210, 0, 0, -576, 0, 0, 378, 0, 0, 48, 0, 0, -204, 0, 0, -147, 0, 0, -132, 0, 0, 354, 0, 0, 576, 0, 0, 438, 0, 0, 1188, 0, 0, 24, 0, 0, -276, 0, 0, 9, 0, 0, 270, 0, 0, 336, 0, 0, -270, 0, 0, -138, 0, 0, 504, 0, 0, 87, 0, 0, 672, 0, 0, 183, 0, 0, 234, 0, 0, -306, 0, 0, -12, 0, 0, -588, 0, 0, -120, 0, 0, 81, 0, 0, -348, 0, 0, -384, 0, 0, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35395820
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785911, 'target_is_minimal': False, 'target_label': '567.2.g.b.109.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35395821
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897399, 'target_is_minimal': False, 'target_label': '567.2.g.e.109.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35395822
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 352, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374135, 'target_is_minimal': False, 'target_label': '567.2.h.e.352.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35395823
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 298, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262647, 'target_is_minimal': False, 'target_label': '567.2.h.b.298.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35395824
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461565, 'target_is_minimal': True, 'target_label': '189.2.e.a.109.1', 'target_level': 189, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35395825
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 109, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202557, 'target_is_minimal': True, 'target_label': '189.2.e.c.109.1', 'target_level': 189, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35395826
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 298, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374135, 'target_is_minimal': False, 'target_label': '567.2.h.e.298.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35395827
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 352, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697262647, 'target_is_minimal': False, 'target_label': '567.2.h.b.352.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35395828
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014810859897399, 'target_is_minimal': False, 'target_label': '567.2.g.e.541.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35395829
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001707, 'target_is_minimal': False, 'target_label': '1323.2.a.m.1.1', 'target_level': 1323, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35395830
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 541, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785911, 'target_is_minimal': False, 'target_label': '567.2.g.b.541.1', 'target_level': 567, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 35395831
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202557, 'target_is_minimal': True, 'target_label': '189.2.e.c.163.1', 'target_level': 189, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35395832
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444113195, 'target_is_minimal': False, 'target_label': '1323.2.a.p.1.1', 'target_level': 1323, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35395833
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778731, 'target_is_minimal': False, 'target_label': '1323.2.a.g.1.1', 'target_level': 1323, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35395834
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 163, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461565, 'target_is_minimal': True, 'target_label': '189.2.e.a.163.1', 'target_level': 189, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35395835
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 109, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785911, 'source_is_minimal': False, 'source_label': '567.2.g.b.109.1', 'source_level': 567, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667243, 'target_is_minimal': False, 'target_label': '1323.2.a.d.1.1', 'target_level': 1323, 'twist_class_label': '189.2.e.a.109.1', 'twist_class_level': 189, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1056225
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 2}
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id: 1056226
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504011977785911, 'p': 3}
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id: 1056227
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4504011977785911, 'p': 5}
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id: 1056228
{'charpoly_factorization': [[[7, -1, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 7}
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id: 1056229
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4504011977785911, 'p': 11}
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id: 1056230
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 13}
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id: 1056231
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 17}
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id: 1056232
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 19}
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id: 1056233
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4504011977785911, 'p': 23}
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id: 1056234
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 29}
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id: 1056235
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 31}
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id: 1056236
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 37}
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id: 1056237
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 41}
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id: 1056238
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 43}
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id: 1056239
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 47}
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id: 1056240
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 53}
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id: 1056241
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 59}
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id: 1056242
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 61}
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id: 1056243
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 67}
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id: 1056244
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504011977785911, 'p': 71}
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id: 1056245
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 73}
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id: 1056246
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 79}
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id: 1056247
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 83}
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id: 1056248
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 89}
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id: 1056249
{'charpoly_factorization': [[[81, 9, 1], 1]], 'hecke_orbit_code': 4504011977785911, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '567.2.g.b', 'level': 567, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 22729519
{'hecke_orbit_code': 4504011977785911, 'n': 1, 'trace_an': 2}
-
id: 22729520
{'hecke_orbit_code': 4504011977785911, 'n': 2, 'trace_an': -1}
-
id: 22729521
{'hecke_orbit_code': 4504011977785911, 'n': 3, 'trace_an': 0}
-
id: 22729522
{'hecke_orbit_code': 4504011977785911, 'n': 4, 'trace_an': 1}
-
id: 22729523
{'hecke_orbit_code': 4504011977785911, 'n': 5, 'trace_an': -8}
-
id: 22729524
{'hecke_orbit_code': 4504011977785911, 'n': 6, 'trace_an': 0}
-
id: 22729525
{'hecke_orbit_code': 4504011977785911, 'n': 7, 'trace_an': 1}
-
id: 22729526
{'hecke_orbit_code': 4504011977785911, 'n': 8, 'trace_an': -6}
-
id: 22729527
{'hecke_orbit_code': 4504011977785911, 'n': 9, 'trace_an': 0}
-
id: 22729528
{'hecke_orbit_code': 4504011977785911, 'n': 10, 'trace_an': 4}
-
id: 22729529
{'hecke_orbit_code': 4504011977785911, 'n': 11, 'trace_an': 4}
-
id: 22729530
{'hecke_orbit_code': 4504011977785911, 'n': 12, 'trace_an': 0}
-
id: 22729531
{'hecke_orbit_code': 4504011977785911, 'n': 13, 'trace_an': -1}
-
id: 22729532
{'hecke_orbit_code': 4504011977785911, 'n': 14, 'trace_an': 4}
-
id: 22729533
{'hecke_orbit_code': 4504011977785911, 'n': 15, 'trace_an': 0}
-
id: 22729534
{'hecke_orbit_code': 4504011977785911, 'n': 16, 'trace_an': 1}
-
id: 22729535
{'hecke_orbit_code': 4504011977785911, 'n': 17, 'trace_an': 6}
-
id: 22729536
{'hecke_orbit_code': 4504011977785911, 'n': 18, 'trace_an': 0}
-
id: 22729537
{'hecke_orbit_code': 4504011977785911, 'n': 19, 'trace_an': -4}
-
id: 22729538
{'hecke_orbit_code': 4504011977785911, 'n': 20, 'trace_an': -4}
-
id: 22729539
{'hecke_orbit_code': 4504011977785911, 'n': 21, 'trace_an': 0}
-
id: 22729540
{'hecke_orbit_code': 4504011977785911, 'n': 22, 'trace_an': -2}
-
id: 22729541
{'hecke_orbit_code': 4504011977785911, 'n': 23, 'trace_an': 12}
-
id: 22729542
{'hecke_orbit_code': 4504011977785911, 'n': 24, 'trace_an': 0}
-
id: 22729543
{'hecke_orbit_code': 4504011977785911, 'n': 25, 'trace_an': 22}
-
id: 22729544
{'hecke_orbit_code': 4504011977785911, 'n': 26, 'trace_an': -1}
-
id: 22729545
{'hecke_orbit_code': 4504011977785911, 'n': 27, 'trace_an': 0}
-
id: 22729546
{'hecke_orbit_code': 4504011977785911, 'n': 28, 'trace_an': 5}
-
id: 22729547
{'hecke_orbit_code': 4504011977785911, 'n': 29, 'trace_an': -2}
-
id: 22729548
{'hecke_orbit_code': 4504011977785911, 'n': 30, 'trace_an': 0}
-
id: 22729549
{'hecke_orbit_code': 4504011977785911, 'n': 31, 'trace_an': -3}
-
id: 22729550
{'hecke_orbit_code': 4504011977785911, 'n': 32, 'trace_an': -5}
-
id: 22729551
{'hecke_orbit_code': 4504011977785911, 'n': 33, 'trace_an': 0}
-
id: 22729552
{'hecke_orbit_code': 4504011977785911, 'n': 34, 'trace_an': 6}
-
id: 22729553
{'hecke_orbit_code': 4504011977785911, 'n': 35, 'trace_an': -4}
-
id: 22729554
{'hecke_orbit_code': 4504011977785911, 'n': 36, 'trace_an': 0}
-
id: 22729555
{'hecke_orbit_code': 4504011977785911, 'n': 37, 'trace_an': -3}
-
id: 22729556
{'hecke_orbit_code': 4504011977785911, 'n': 38, 'trace_an': 8}
-
id: 22729557
{'hecke_orbit_code': 4504011977785911, 'n': 39, 'trace_an': 0}
-
id: 22729558
{'hecke_orbit_code': 4504011977785911, 'n': 40, 'trace_an': 24}
-
id: 22729559
{'hecke_orbit_code': 4504011977785911, 'n': 41, 'trace_an': 2}
-
id: 22729560
{'hecke_orbit_code': 4504011977785911, 'n': 42, 'trace_an': 0}
-
id: 22729561
{'hecke_orbit_code': 4504011977785911, 'n': 43, 'trace_an': 1}
-
id: 22729562
{'hecke_orbit_code': 4504011977785911, 'n': 44, 'trace_an': 2}
-
id: 22729563
{'hecke_orbit_code': 4504011977785911, 'n': 45, 'trace_an': 0}
-
id: 22729564
{'hecke_orbit_code': 4504011977785911, 'n': 46, 'trace_an': -6}
-
id: 22729565
{'hecke_orbit_code': 4504011977785911, 'n': 47, 'trace_an': -6}
-
id: 22729566
{'hecke_orbit_code': 4504011977785911, 'n': 48, 'trace_an': 0}
-
id: 22729567
{'hecke_orbit_code': 4504011977785911, 'n': 49, 'trace_an': -13}
-
id: 22729568
{'hecke_orbit_code': 4504011977785911, 'n': 50, 'trace_an': -11}
-
id: 22729569
{'hecke_orbit_code': 4504011977785911, 'n': 51, 'trace_an': 0}
-
id: 22729570
{'hecke_orbit_code': 4504011977785911, 'n': 52, 'trace_an': -2}
-
id: 22729571
{'hecke_orbit_code': 4504011977785911, 'n': 53, 'trace_an': 6}
-
id: 22729572
{'hecke_orbit_code': 4504011977785911, 'n': 54, 'trace_an': 0}
-
id: 22729573
{'hecke_orbit_code': 4504011977785911, 'n': 55, 'trace_an': -16}
-
id: 22729574
{'hecke_orbit_code': 4504011977785911, 'n': 56, 'trace_an': -3}
-
id: 22729575
{'hecke_orbit_code': 4504011977785911, 'n': 57, 'trace_an': 0}
-
id: 22729576
{'hecke_orbit_code': 4504011977785911, 'n': 58, 'trace_an': 4}
-
id: 22729577
{'hecke_orbit_code': 4504011977785911, 'n': 59, 'trace_an': -6}
-
id: 22729578
{'hecke_orbit_code': 4504011977785911, 'n': 60, 'trace_an': 0}
-
id: 22729579
{'hecke_orbit_code': 4504011977785911, 'n': 61, 'trace_an': 5}
-
id: 22729580
{'hecke_orbit_code': 4504011977785911, 'n': 62, 'trace_an': 6}
-
id: 22729581
{'hecke_orbit_code': 4504011977785911, 'n': 63, 'trace_an': 0}
-
id: 22729582
{'hecke_orbit_code': 4504011977785911, 'n': 64, 'trace_an': 14}
-
id: 22729583
{'hecke_orbit_code': 4504011977785911, 'n': 65, 'trace_an': 4}
-
id: 22729584
{'hecke_orbit_code': 4504011977785911, 'n': 66, 'trace_an': 0}
-
id: 22729585
{'hecke_orbit_code': 4504011977785911, 'n': 67, 'trace_an': -7}
-
id: 22729586
{'hecke_orbit_code': 4504011977785911, 'n': 68, 'trace_an': 12}
-
id: 22729587
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