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mf_newforms • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [81, 9, [2], [4]], 'cm_discs': [], 'conrey_index': 10, 'conrey_indexes': [10, 19, 37, 46, 64, 73], 'dim': 12, 'field_disc': 1952986685049, 'field_disc_factorization': [[3, 18], [71, 2]], 'field_poly': [3, -27, 108, -258, 420, -504, 463, -330, 186, -80, 27, -6, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461457, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.2.e.a', 'level': 81, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.2.e.a', 'nf_label': '12.0.1952986685049.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(1+\\beta _{3}-\\beta _{8})q^{2}+(1+\\beta _{1}+\\beta _{2}+\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.2.e', 'trace_display': [6, 0, 3, -6], 'trace_hash': 237387728961873244, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.321', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '433.306', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
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'char_orbit_index': 5, 'conrey_index': 19, 'dual_conrey_index': 64, 'dual_embedding_index': 2, 'dual_embedding_m': 10, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 1.2729712877103014, 'embedding_root_real': 0.5, 'hecke_orbit': 1, 'hecke_orbit_code': 274911461457, 'label': '81.2.e.a.19.2', 'level': 81, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 324, 'analytic_conductor': 0.6467882563723711, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [81, 9, [2], [4]], 'conrey_index': 10, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 36, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274911461457, 'hecke_orbit_dims': [12], 'label': '81.2.e', 'level': 81, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 72, 'mf_new_dim': 24, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 2, 'sturm_bound': 18, 'trace_bound': 0, 'trace_display': [6, 0, 3, -6], 'traces': [12, 6, 0, -6, 3, 0, -6, -6, 0, -3, -3, 0, -6, -15, 0, 0, -9, 0, -3, 3, 0, 3, 12, 0, 3, 30, 0, -12, 6, 0, 3, 0, 0, 9, -12, 0, -3, -42, 0, 21, -15, 0, 3, -3, 0, -3, 15, 0, 12, 33, 0, 9, 18, 0, -12, 33, 0, 21, 12, 0, 12, 12, 0, 12, -3, 0, -15, -9, 0, -15, -27, 0, 6, -33, 0, -48, -15, 0, -42, -42, 0, -12, -39, 0, -27, -51, 0, -30, -9, 0, 6, 39, 0, -15, 33, 0, 3, 45, 0, 18, 15, 0, 30, -21, 0, 27, 18, 0, -12, 0, 0, 39, 66, 0, 39, 24, 0, -3, 36, 0, 39, 30, 0, 63, 24, 0, -3, -3, 0, 30, -69, 0, 42, -60, 0, 36, -48, 0, 3, -12, 0, -18, -6, 0, -3, 66, 0, -48, 3, 0, -60, -3, 0, -3, 6, 0, -69, 3, 0, -90, -30, 0, 42, -6, 0, -114, -42, 0, -60, 18, 0, -3, -30, 0, -36, 42, 0, -54, 0, 0, -3, -12, 0, 30, -39, 0, 36, -84, 0, 48, 15, 0, 48, 21, 0, 57, 27, 0, -3, -51, 0, 93, 30, 0, 75, -6, 0, -27, 30, 0, 66, 72, 0, 54, 96, 0, -30, -24, 0, 15, -36, 0, -6, 27, 0, -30, 60, 0, -6, -27, 0, -21, 27, 0, -30, -42, 0, -27, -6, 0, -15, -12, 0, -84, -18, 0, 15, 33, 0, -15, -45, 0, -30, 3, 0, -6, -15, 0, 15, 15, 0, -30, -21, 0, -27, 15, 0, 27, 36, 0, -30, 0, 0, 102, -30, 0, 75, -6, 0, 15, -21, 0, 75, 0, 0, 60, -39, 0, 39, -9, 0, 78, 12, 0, 3, 78, 0, -12, -12, 0, -51, 3, 0, -9, 33, 0, 33, -42, 0, -87, -6, 0, -105, -42, 0, 51, 15, 0, -105, -15, 0, -105, -36, 0, -12, 93, 0, -105, 48, 0, -114, -66, 0, 51, -21, 0, -87, -72, 0, -27, -24, 0, 33, 51, 0, -51, 39, 0, -42, -6, 0, 36, 96, 0, 27, -36, 0, 90, -45, 0, 45, -24, 0, 6, -111, 0, 75, 3, 0, 57, -54, 0, 39, 0, 0, 51, -78, 0, 42, 42, 0, 21, 75, 0, -15, -69, 0, -3, -111, 0, 27, -45, 0, -27, 6, 0, -3, 165, 0, 3, 93, 0, 12, 204, 0, 96, 30, 0, 3, 54, 0, -45, 60, 0, -3, 0, 0, 15, 48, 0, 30, -51, 0, -27, 54, 0, 21, -63, 0, 75, 108, 0, 42, -57, 0, 51, -3, 0, 66, -27, 0, -54, 33, 0, 90, 75, 0, 48, 27, 0, -30, -105, 0, 3, 66, 0, -15, -24, 0, -60, -3, 0, -24, -57, 0, -72, -36, 0, -57, -18, 0, -60, -87, 0, -3, 9, 0, -84, -93, 0, -12, -42, 0, -102, -138, 0, -120, -111, 0, -45, -132, 0, 9, 60, 0, -36, -18, 0, -42, -57, 0, -108, -36, 0, -57, -90, 0, 6, 30, 0, 24, 84, 0, -120, 15, 0, 21, 6, 0, 15, 9, 0, -21, 57, 0, 12, 36, 0, 48, -36, 0, -24, 105, 0, 27, 6, 0, 81, -72, 0, -12, 21, 0, 63, 105, 0, 66, 87, 0, 21, -15, 0, 75, 111, 0, 9, 81, 0, 60, 51, 0, 57, 39, 0, 30, 120, 0, 36, 60, 0, 3, 84, 0, 48, 30, 0, 60, -21, 0, 87, 66, 0, -27, 24, 0, 51, -138, 0, 87, -36, 0, 81, -180, 0, 90, -87, 0, -42, -150, 0, -33, -48, 0, 33, 84, 0, -33, -63, 0, -15, 12, 0, 6, 66, 0, -24, -87, 0, -78, -102, 0, 150, 99, 0, -81, -51, 0, -36, -36, 0, -3, 6, 0, -42, 150, 0, -57, 45, 0, 33, -84, 0, -159, -48, 0, -45, 54, 0, 150, -33, 0, -57, 48, 0, -123, -33, 0, -3, 132, 0, -96, 21, 0, 60, 12, 0, -3, 156, 0, -51, 93, 0, -96, -132, 0, 12, -183, 0, -78, 36, 0, -30, 171, 0, -30, 96, 0, -24, -27, 0, -51, 15, 0, -57, -30, 0, 54, -267, 0, 6, 0, 0, -24, -57, 0, 129, -105, 0, 75, -27, 0, -36, -21, 0, -6, 135, 0, 135, -45, 0, -57, 9, 0, 33, -84, 0, 111, -114, 0, -168, -27, 0, 111, 138, 0, 117, 75, 0, -57, 24, 0, 81, -132, 0, 75, 48, 0, 18, -9, 0, 93, 60, 0, -57, -30, 0, -138, -87, 0, 42, 39, 0, -48, -66, 0, -3, 42, 0, -60, -18, 0, -81, 90, 0, 24, -21, 0, -132, -57, 0, 9, 108, 0, -114, -30, 0, -6, 27, 0, -42, -102, 0, 105, 39, 0, -21, 129, 0, 9, 0, 0, 105, 39, 0, 6, -3, 0, -30, 0, 0, -12, 84, 0, -66, -93, 0, -21, 66, 0, 75, -57, 0, -6, 24, 0, -15, 18, 0, 105, -54, 0, -150, 9, 0, 3, -78, 0, 42, 141, 0, -6, -42, 0, -144, 18, 0, 51, 9, 0, 9, 78, 0, -87, -21, 0, 27, 60, 0, -15, 15, 0, -54, 0, 0, 96, -69, 0, -21, -15, 0, 165, 24, 0, 111, 3, 0, 48, -87, 0, 60, -9, 0, -3, -108, 0, 192, 21, 0, 123, 126, 0, 204, 102, 0, 135, 21, 0, 198, 12, 0, -54, -9, 0, 129, -66, 0, 84, -138, 0, -21, -84, 0, 111, 237, 0, -18, 24, 0, 24, 63, 0, -87, 18, 0, -3, -24, 0, -36, -48, 0, -102, 54, 0, -81, 27, 0, -84, 15, 0, -111, 84, 0, -78, -60, 0, -174, 33, 0, -30, 21, 0, -63, -36, 0, -111, -6, 0, 39, -195, 0, -159, -57, 0, -138, 141, 0, -24, 75, 0, -6, 144, 0, -192, -87, 0, 30, -60, 0, 27, 45, 0, -138, -246, 0, -99, -45, 0, -45, 24, 0, -102, 63, 0, 0, -102, 0, -78, 12, 0, -120], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 2439557
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.19.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2439558
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.7.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2439559
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 136, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.136.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2439560
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.217.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2439561
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.217.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2439562
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 136, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.136.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2439563
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 385, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.385.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2439564
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 574, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.574.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2439565
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 574, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.574.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 2439566
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 601, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.601.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2439567
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 33555161, 'target_is_minimal': False, 'target_label': '729.2.a.a.1.6', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2439568
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 64, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911461457, 'target_is_minimal': False, 'target_label': '81.2.e.a.64.2', 'target_level': 81, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2439569
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166202611, 'target_is_minimal': False, 'target_label': '243.2.e.c.28.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 2439570
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.487.6', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 2439571
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.244.1', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2439572
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461619, 'target_is_minimal': False, 'target_label': '243.2.e.a.109.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 2439573
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511073793573107, 'target_is_minimal': False, 'target_label': '243.2.e.d.109.2', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 2439574
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 244, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503737099879129, 'target_is_minimal': False, 'target_label': '729.2.c.b.244.6', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 2439575
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981990617, 'target_is_minimal': False, 'target_label': '729.2.c.e.487.1', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 2439576
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832115, 'target_is_minimal': False, 'target_label': '243.2.e.b.28.1', 'target_level': 243, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 2439577
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461403, 'target_is_minimal': True, 'target_label': '27.2.e.a.4.1', 'target_level': 27, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2439578
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666649, 'target_is_minimal': False, 'target_label': '729.2.a.d.1.1', 'target_level': 729, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 2439579
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 193, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008573677830576, 'target_is_minimal': False, 'target_label': '432.2.u.c.193.1', 'target_level': 432, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '108.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2439580
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 274, 'target_dim': 24, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.274.1', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '135.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 2439581
{'conductor': 135, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 274, 'target_dim': 24, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460323, 'target_is_minimal': False, 'target_label': '675.2.u.b.274.4', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '135.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 2439582
{'conductor': 135, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 19, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 274911461457, 'source_is_minimal': False, 'source_label': '81.2.e.a.19.2', 'source_level': 81, 'target_conrey_index': 301, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540195, 'target_is_minimal': False, 'target_label': '675.2.l.c.301.2', 'target_level': 675, 'twist_class_label': '27.2.e.a.4.1', 'twist_class_level': 27, 'twisting_char_label': '135.104', 'twisting_conrey_index': 104, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 253825
{'charpoly_factorization': [[[9, -27, 27, 45, -18, 9, 6, -54, 72, -48, 21, -6, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 2}
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id: 253826
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 274911461457, 'p': 3}
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id: 253827
{'charpoly_factorization': [[[9, 135, 837, -1287, 1521, -1008, 303, 63, -63, 12, 3, -3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 5}
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id: 253828
{'charpoly_factorization': [[[289, -816, 888, -758, 639, 225, 273, 225, 18, -11, 12, 6, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 7}
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id: 253829
{'charpoly_factorization': [[[9, 27, 108, 531, 495, -1341, 1491, -657, 261, 6, -15, 3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 11}
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id: 253830
{'charpoly_factorization': [[[1, 84, 2994, -2675, -3546, 873, 3729, 2223, 747, 214, 48, 6, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 13}
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id: 253831
{'charpoly_factorization': [[[729, 2187, 8019, -1458, 7047, 1701, 2727, 567, 621, 189, 72, 9, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 17}
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id: 253832
{'charpoly_factorization': [[[361, 2280, 11208, 21604, 33354, 873, 6162, 252, 846, -14, 39, 3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 19}
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id: 253833
{'charpoly_factorization': [[[106929, -264870, 322812, -288216, 170838, -32220, 22713, 774, -1440, 192, 48, -12, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 23}
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id: 253834
{'charpoly_factorization': [[[45369, 203202, 341037, 619236, 1278324, -188802, -4044, 10206, 423, 96, 21, -6, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 29}
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id: 253835
{'charpoly_factorization': [[[26569, -77262, 73617, -6158, -29034, 14481, 3810, -4365, 1881, -434, 84, -3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 31}
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id: 253836
{'charpoly_factorization': [[[24334489, 19105509, 12573093, 4411480, 1506987, 331353, 90807, 15399, 3519, 337, 66, 3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 37}
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id: 253837
{'charpoly_factorization': [[[11229201, -15350931, 16475103, -10695744, 2682513, 178299, -57801, -8208, 4797, 705, 93, 15, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 41}
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id: 253838
{'charpoly_factorization': [[[3308761, -4709391, 49059204, -4380266, -386325, 386325, 10965, -963, 2799, 16, -60, -3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 43}
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id: 253839
{'charpoly_factorization': [[[42732369, 17296902, 4549149, -1182393, 1192761, -676449, 29409, 30357, -927, 114, 111, -15, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 47}
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id: 253840
{'charpoly_factorization': [[[-12393, 2916, 4617, 513, -108, -9, 1], 2]], 'hecke_orbit_code': 274911461457, 'p': 53}
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id: 253841
{'charpoly_factorization': [[[176384961, 170448354, 29313684, -10115676, 2890305, 2031741, 256911, 36189, 5796, -933, 192, -12, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 59}
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id: 253842
{'charpoly_factorization': [[[273670849, -12754653, 226908411, 81354967, -9276372, -1547091, 1238790, -134964, 19512, 34, -51, -12, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 61}
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id: 253843
{'charpoly_factorization': [[[8288641, -13275069, 5116533, 7604980, -2980269, -1780641, 660099, 86274, 23913, 2365, 255, 15, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 67}
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id: 253844
{'charpoly_factorization': [[[729, -6561, 78003, 144342, 604827, -231093, 400761, 147015, 38205, 5103, 504, 27, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 71}
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id: 253845
{'charpoly_factorization': [[[185761, 619347, 3782073, -5509508, 16156512, 498510, 746232, 2871, 27792, 544, 210, -6, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 73}
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id: 253846
{'charpoly_factorization': [[[3508129, -1848651, -6043107, 15614746, 26778888, 7412832, 2309097, 487872, 78291, 9520, 813, 42, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 79}
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id: 253847
{'charpoly_factorization': [[[6951057129, 10578532986, 7328037465, 3047714604, 853146414, 170563383, 25416024, 2898477, 256059, 17196, 912, 39, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 83}
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id: 253848
{'charpoly_factorization': [[[1062042921, 992530584, 765665784, 218178036, 61794900, 6160293, 1737990, 125712, 36666, 432, 261, 9, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 89}
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id: 253849
{'charpoly_factorization': [[[66765241, 21154719, 532756806, -381413396, 112050423, -14303619, 35103, 185823, -11349, -1010, 102, -3, 1], 1]], 'hecke_orbit_code': 274911461457, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '81.2.e.a', 'level': 81, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 28834000
{'hecke_orbit_code': 274911461457, 'n': 1, 'trace_an': 12}
-
id: 28834001
{'hecke_orbit_code': 274911461457, 'n': 2, 'trace_an': 6}
-
id: 28834002
{'hecke_orbit_code': 274911461457, 'n': 3, 'trace_an': 0}
-
id: 28834003
{'hecke_orbit_code': 274911461457, 'n': 4, 'trace_an': -6}
-
id: 28834004
{'hecke_orbit_code': 274911461457, 'n': 5, 'trace_an': 3}
-
id: 28834005
{'hecke_orbit_code': 274911461457, 'n': 6, 'trace_an': 0}
-
id: 28834006
{'hecke_orbit_code': 274911461457, 'n': 7, 'trace_an': -6}
-
id: 28834007
{'hecke_orbit_code': 274911461457, 'n': 8, 'trace_an': -6}
-
id: 28834008
{'hecke_orbit_code': 274911461457, 'n': 9, 'trace_an': 0}
-
id: 28834009
{'hecke_orbit_code': 274911461457, 'n': 10, 'trace_an': -3}
-
id: 28834010
{'hecke_orbit_code': 274911461457, 'n': 11, 'trace_an': -3}
-
id: 28834011
{'hecke_orbit_code': 274911461457, 'n': 12, 'trace_an': 0}
-
id: 28834012
{'hecke_orbit_code': 274911461457, 'n': 13, 'trace_an': -6}
-
id: 28834013
{'hecke_orbit_code': 274911461457, 'n': 14, 'trace_an': -15}
-
id: 28834014
{'hecke_orbit_code': 274911461457, 'n': 15, 'trace_an': 0}
-
id: 28834015
{'hecke_orbit_code': 274911461457, 'n': 16, 'trace_an': 0}
-
id: 28834016
{'hecke_orbit_code': 274911461457, 'n': 17, 'trace_an': -9}
-
id: 28834017
{'hecke_orbit_code': 274911461457, 'n': 18, 'trace_an': 0}
-
id: 28834018
{'hecke_orbit_code': 274911461457, 'n': 19, 'trace_an': -3}
-
id: 28834019
{'hecke_orbit_code': 274911461457, 'n': 20, 'trace_an': 3}
-
id: 28834020
{'hecke_orbit_code': 274911461457, 'n': 21, 'trace_an': 0}
-
id: 28834021
{'hecke_orbit_code': 274911461457, 'n': 22, 'trace_an': 3}
-
id: 28834022
{'hecke_orbit_code': 274911461457, 'n': 23, 'trace_an': 12}
-
id: 28834023
{'hecke_orbit_code': 274911461457, 'n': 24, 'trace_an': 0}
-
id: 28834024
{'hecke_orbit_code': 274911461457, 'n': 25, 'trace_an': 3}
-
id: 28834025
{'hecke_orbit_code': 274911461457, 'n': 26, 'trace_an': 30}
-
id: 28834026
{'hecke_orbit_code': 274911461457, 'n': 27, 'trace_an': 0}
-
id: 28834027
{'hecke_orbit_code': 274911461457, 'n': 28, 'trace_an': -12}
-
id: 28834028
{'hecke_orbit_code': 274911461457, 'n': 29, 'trace_an': 6}
-
id: 28834029
{'hecke_orbit_code': 274911461457, 'n': 30, 'trace_an': 0}
-
id: 28834030
{'hecke_orbit_code': 274911461457, 'n': 31, 'trace_an': 3}
-
id: 28834031
{'hecke_orbit_code': 274911461457, 'n': 32, 'trace_an': 0}
-
id: 28834032
{'hecke_orbit_code': 274911461457, 'n': 33, 'trace_an': 0}
-
id: 28834033
{'hecke_orbit_code': 274911461457, 'n': 34, 'trace_an': 9}
-
id: 28834034
{'hecke_orbit_code': 274911461457, 'n': 35, 'trace_an': -12}
-
id: 28834035
{'hecke_orbit_code': 274911461457, 'n': 36, 'trace_an': 0}
-
id: 28834036
{'hecke_orbit_code': 274911461457, 'n': 37, 'trace_an': -3}
-
id: 28834037
{'hecke_orbit_code': 274911461457, 'n': 38, 'trace_an': -42}
-
id: 28834038
{'hecke_orbit_code': 274911461457, 'n': 39, 'trace_an': 0}
-
id: 28834039
{'hecke_orbit_code': 274911461457, 'n': 40, 'trace_an': 21}
-
id: 28834040
{'hecke_orbit_code': 274911461457, 'n': 41, 'trace_an': -15}
-
id: 28834041
{'hecke_orbit_code': 274911461457, 'n': 42, 'trace_an': 0}
-
id: 28834042
{'hecke_orbit_code': 274911461457, 'n': 43, 'trace_an': 3}
-
id: 28834043
{'hecke_orbit_code': 274911461457, 'n': 44, 'trace_an': -3}
-
id: 28834044
{'hecke_orbit_code': 274911461457, 'n': 45, 'trace_an': 0}
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