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{'Nk2': 4356, 'analytic_conductor': 8.695708780117434, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [11, -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': [1089, 1, [848, 244], [1, 1]], 'cm_discs': [], 'conrey_index': 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]], [5, [1, 1]], [7, [-2, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519489, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1089.2.a.i', 'level': 1089, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '121.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{4}-q^{5}+2q^{7}-3q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/1089/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1089.2.a', 'trace_display': [1, 0, -1, 2], 'trace_hash': 1437452934921650769, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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-0.1801442251153451], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519489, 'label': '1089.2.a.i.1.1', 'level': 1089, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 12, 13, 10], 'Nk2': 4356, 'analytic_conductor': 8.695708780117434, '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': [1089, 1, [848, 244], [1, 1]], 'conrey_index': 1, 'cusp_dim': 109, 'dim': 41, 'eis_dim': 47, 'eis_new_dim': 9, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33555521, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4], 'label': '1089.2.a', 'level': 1089, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'mf_dim': 156, 'mf_new_dim': 50, 'num_forms': 23, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 41, 'sturm_bound': 264, 'trace_bound': 7, 'trace_display': [-1, 0, -2, 2], 'traces': [41, -1, 0, 41, -2, 0, 2, -3, 0, -4, 0, 0, 2, 12, 0, 41, -4, 0, 12, 4, 0, 0, 18, 0, 11, 16, 0, 4, -6, 0, -2, 13, 0, -8, -10, 0, 2, -8, 0, 18, -10, 0, -6, 0, 0, -2, 16, 0, 13, 7, 0, -14, -8, 0, 0, 0, 0, -20, 10, 0, -6, -22, 0, -7, 8, 0, -18, -2, 0, -16, 2, 0, 14, 0, 0, -12, 0, 0, 34, 56, 0, -36, 6, 0, 14, 20, 0, 0, 22, 0, 44, 12, 0, -8, 0, 0, 42, 15, 0, 29, 4, 0, 44, 48, 0, -18, 6, 0, -4, 0, 0, -8, 6, 0, 62, 6, 0, 22, 0, 0, 0, -66, 0, 12, -60, 0, 16, -3, 0, -50, -30, 0, -8, 10, 0, -28, -60, 0, -22, 4, 0, -6, 0, 0, -60, -86, 0, -56, -32, 0, -50, 84, 0, 0, 42, 0, -52, 28, 0, -38, 34, 0, 84, -14, 0, -12, -12, 0, 9, -54, 0, 24, -12, 0, 40, 0, 0, 36, -14, 0, -26, 8, 0, 0, -76, 0, 0, 0, 0, -28, 18, 0, 38, 16, 0, -31, -16, 0, -12, 3, 0, -118, 60, 0, -76, 40, 0, 10, 0, 0, 0, -148, 0, -52, -6, 0, 62, -144, 0, 0, -46, 0, 42, -108, 0, 48, 30, 0, -22, -14, 0, -156, 54, 0, -64, 64, 0, 8, -6, 0, 50, 0, 0, -30, 30, 0, -4, 24, 0, -78, 114, 0, 0, -144, 0, -7, -28, 0, -42, 4, 0, -80, -2, 0, -58, 0, 0, -136, 16, 0, 4, 10, 0, -8, 0, 0, 32, 88, 0, -220, -36, 0, -16, -108, 0, 0, 16, 0, -15, -26, 0, -26, 18, 0, 26, -18, 0, 0, -20, 0, 60, -116, 0, -12, 0, 0, 4, 0, 0, -34, -12, 0, 90, 28, 0, -4, -36, 0, 0, 100, 0, -140, 136, 0, 58, -4, 0, -20, 16, 0, 6, -24, 0, 0, 138, 0, 16, -15, 0, -8, 0, 0, -68, -104, 0, -86, 32, 0, -72, 128, 0, 0, 126, 0, -26, 56, 0, -90, -28, 0, -43, 8, 0, 188, 32, 0, 166, -80, 0, 66, 36, 0, -40, 0, 0, 72, -50, 0, 126, 0, 0, 58, -18, 0, 0, 128, 0, 152, 86, 0, -2, -27, 0, -96, -2, 0, 88, 0, 0, -83, 16, 0, -28, 2, 0, 48, 0, 0, 0, 10, 0, 240, -26, 0, 126, 116, 0, 0, 32, 0, -48, -128, 0, 18, 10, 0, 96, 48, 0, -212, -42, 0, 2, 64, 0, -26, 0, 0, -40, 0, 0, -28, 130, 0, -60, -22, 0, -16, 14, 0, 0, -72, 0, 256, 160, 0, 30, -24, 0, 212, -18, 0, 126, 6, 0, 236, 78, 0, 34, -32, 0, -36, 0, 0, 132, 216, 0, -88, 28, 0, -24, -30, 0, 0, -188, 0, -18, -150, 0, 36, -4, 0, -166, 0, 0, 276, 6, 0, 24, -170, 0, -34, -58, 0, -110, 0, 0, -40, -112, 0, 40, -43, 0, 26, 108, 0, 0, -92, 0, -282, -96, 0, -44, -24, 0, 240, 2, 0, -109, 0, 0, 184, -218, 0, 54, 12, 0, -10, 0, 0, -82, 80, 0, 228, 14, 0, -92, -214, 0, 0, 12, 0, -44, -108, 0, -8, -16, 0, 200, 16, 0, -34, -40, 0, -92, 132, 0, 0, -42, 0, 112, 0, 0, 80, -60, 0, -182, 13, 0, 60, -72, 0, 0, -118, 0, 236, -56, 0, 48, -2, 0, -176, 82, 0, -160, 2, 0, -204, 24, 0, 16, -24, 0, 44, 0, 0, 46, 156, 0, 336, 16, 0, 94, 244, 0, 0, -108, 0, 78, 268, 0, 72, -54, 0, -163, -20, 0, -194, -18, 0, -158, -88, 0, -4, 16, 0, 18, 0, 0, 18, 242, 0, 14, -28, 0, -24, -94, 0, 0, 86, 0, 136, -224, 0, -102, 34, 0, -168, 14, 0, 66, -34, 0, 176, -64, 0, 96, -24, 0, -86, 0, 0, -20, -96, 0, -147, -24, 0, -14, -130, 0, 0, 116, 0, -126, 228, 0, -12, -36, 0, 6, -6, 0, 316, 26, 0, -34, 340, 0, -64, 52, 0, -72, 0, 0, -12, -128, 0, -156, 6, 0, -18, 50, 0, 0, 356, 0, -124, 38, 0, -32, 19, 0, 176, 6, 0, 186, 24, 0, 240, -132, 0, -6, 2, 0, 8, 0, 0, 10, -106, 0, 172, 44, 0, -50, 14, 0, 0, 176, 0, 322, 336, 0, 12, -38, 0, -60, 38, 0, -28, 18, 0, 144, -32, 0, -26, 28, 0, -26, 0, 0, -50, -178, 0, 160, -6, 0, 60, 200, 0, 0, 260, 0, -287, -174, 0, -4, 10, 0, 280, -42, 0, -16, 2, 0, 248, -16, 0, 64, -37, 0, 34, 0, 0, -2, 336, 0, -186, 54, 0, 26, 60, 0, 0, -148, 0, -32, 240, 0, 100, 8, 0, -82, -24, 0, 180, -32, 0, -114, 256, 0, 74, -12, 0, 12, 0, 0, -20, 42, 0, -103, -70, 0, -36, -160, 0, 0, -228, 0, -238, -198, 0, -80, 72, 0, -488, -2, 0, -2, -12, 0, -76, -168, 0, -54, 56, 0, -20, 0, 0, 52, -228, 0, 184, 66, 0, -78, 256, 0, 0, -110, 0, -144, -70, 0, -58, -14, 0, -112, -18, 0, 96, 0, 0, 114, -120, 0, 4, 48, 0, 0, 0, 0, -90, -24, 0, -48, 24, 0, -64, -188, 0, 0, -72, 0, 288, -172, 0, 38, 48, 0, 372, -12, 0, -38, 38, 0, -316, 204, 0, -36, 18, 0, 30, 0, 0, -38, -420, 0, -404, -12, 0, 88, -260, 0, 0, -258, 0, -160, -344, 0, 0, 56, 0, 6, -84, 0, -368, 22, 0, -69, 186, 0, -26, 32, 0, 128, 0, 0, -26, 94, 0, -100, -62, 0, 42, 354, 0, 0, -232, 0, 168, 190, 0, -10, 12, 0, -20, 6, 0, -132, 16, 0, -372, -120, 0, -152, -44, 0, 180], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46453160
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519489, 'target_is_minimal': False, 'target_label': '1089.2.a.i.1.1', 'target_level': 1089, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46453161
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554553, 'target_is_minimal': True, 'target_label': '121.2.a.a.1.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46453162
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296513, 'target_is_minimal': False, 'target_label': '1089.2.a.c.1.1', 'target_level': 1089, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46453163
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556368, 'target_is_minimal': False, 'target_label': '1936.2.a.a.1.1', 'target_level': 1936, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46453164
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543039441, 'target_is_minimal': False, 'target_label': '3025.2.a.e.1.1', 'target_level': 3025, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46453165
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33560361, 'target_is_minimal': False, 'target_label': '5929.2.a.a.1.1', 'target_level': 5929, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46453166
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170414656, 'target_is_minimal': False, 'target_label': '7744.2.a.f.1.1', 'target_level': 7744, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46453167
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854677056, 'target_is_minimal': False, 'target_label': '7744.2.a.be.1.1', 'target_level': 7744, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46453168
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878521, 'target_is_minimal': False, 'target_label': '121.2.c.b.81.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46453169
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 3, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619513, 'target_is_minimal': False, 'target_label': '121.2.c.d.3.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46453170
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878521, 'target_is_minimal': False, 'target_label': '121.2.c.b.9.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46453171
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619513, 'target_is_minimal': False, 'target_label': '121.2.c.d.9.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46453172
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 3, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878521, 'target_is_minimal': False, 'target_label': '121.2.c.b.3.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 46453173
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619513, 'target_is_minimal': False, 'target_label': '121.2.c.d.81.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46453174
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 27, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619513, 'target_is_minimal': False, 'target_label': '121.2.c.d.27.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 46453175
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 27, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878521, 'target_is_minimal': False, 'target_label': '121.2.c.b.27.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 46453176
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295545, 'target_is_minimal': True, 'target_label': '121.2.a.c.1.1', 'target_level': 121, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 46453177
{'conductor': 132, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926864, 'target_is_minimal': False, 'target_label': '1936.2.a.b.1.1', 'target_level': 1936, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '132.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 46453178
{'conductor': 165, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927953, 'target_is_minimal': False, 'target_label': '3025.2.a.b.1.1', 'target_level': 3025, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '165.164', 'twisting_conrey_index': 164, 'weight': 2}
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id: 46453179
{'conductor': 231, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797783337, 'target_is_minimal': False, 'target_label': '5929.2.a.g.1.1', 'target_level': 5929, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '231.230', 'twisting_conrey_index': 230, 'weight': 2}
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id: 46453180
{'conductor': 264, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482047552, 'target_is_minimal': False, 'target_label': '7744.2.a.bf.1.1', 'target_level': 7744, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '264.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 46453181
{'conductor': 264, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 36028797052519489, 'source_is_minimal': False, 'source_label': '1089.2.a.i.1.1', 'source_level': 1089, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288303168, 'target_is_minimal': False, 'target_label': '7744.2.a.c.1.1', 'target_level': 7744, 'twist_class_label': '121.2.a.a.1.1', 'twist_class_level': 121, 'twisting_char_label': '264.197', 'twisting_conrey_index': 197, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1672425
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 2}
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id: 1672426
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 3}
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id: 1672427
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 5}
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id: 1672428
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 7}
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id: 1672429
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 11}
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id: 1672430
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 13}
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id: 1672431
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 17}
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id: 1672432
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 19}
-
id: 1672433
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 23}
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id: 1672434
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 29}
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id: 1672435
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 31}
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id: 1672436
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 37}
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id: 1672437
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 41}
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id: 1672438
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 43}
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id: 1672439
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 47}
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id: 1672440
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 53}
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id: 1672441
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 59}
-
id: 1672442
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 61}
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id: 1672443
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 67}
-
id: 1672444
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 71}
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id: 1672445
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 73}
-
id: 1672446
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 79}
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id: 1672447
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 83}
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id: 1672448
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 89}
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id: 1672449
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 36028797052519489, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '1089.2.a.i', 'level': 1089, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50357965
{'hecke_orbit_code': 36028797052519489, 'n': 1, 'trace_an': 1}
-
id: 50357966
{'hecke_orbit_code': 36028797052519489, 'n': 2, 'trace_an': 1}
-
id: 50357967
{'hecke_orbit_code': 36028797052519489, 'n': 3, 'trace_an': 0}
-
id: 50357968
{'hecke_orbit_code': 36028797052519489, 'n': 4, 'trace_an': -1}
-
id: 50357969
{'hecke_orbit_code': 36028797052519489, 'n': 5, 'trace_an': -1}
-
id: 50357970
{'hecke_orbit_code': 36028797052519489, 'n': 6, 'trace_an': 0}
-
id: 50357971
{'hecke_orbit_code': 36028797052519489, 'n': 7, 'trace_an': 2}
-
id: 50357972
{'hecke_orbit_code': 36028797052519489, 'n': 8, 'trace_an': -3}
-
id: 50357973
{'hecke_orbit_code': 36028797052519489, 'n': 9, 'trace_an': 0}
-
id: 50357974
{'hecke_orbit_code': 36028797052519489, 'n': 10, 'trace_an': -1}
-
id: 50357975
{'hecke_orbit_code': 36028797052519489, 'n': 11, 'trace_an': 0}
-
id: 50357976
{'hecke_orbit_code': 36028797052519489, 'n': 12, 'trace_an': 0}
-
id: 50357977
{'hecke_orbit_code': 36028797052519489, 'n': 13, 'trace_an': -1}
-
id: 50357978
{'hecke_orbit_code': 36028797052519489, 'n': 14, 'trace_an': 2}
-
id: 50357979
{'hecke_orbit_code': 36028797052519489, 'n': 15, 'trace_an': 0}
-
id: 50357980
{'hecke_orbit_code': 36028797052519489, 'n': 16, 'trace_an': -1}
-
id: 50357981
{'hecke_orbit_code': 36028797052519489, 'n': 17, 'trace_an': -5}
-
id: 50357982
{'hecke_orbit_code': 36028797052519489, 'n': 18, 'trace_an': 0}
-
id: 50357983
{'hecke_orbit_code': 36028797052519489, 'n': 19, 'trace_an': -6}
-
id: 50357984
{'hecke_orbit_code': 36028797052519489, 'n': 20, 'trace_an': 1}
-
id: 50357985
{'hecke_orbit_code': 36028797052519489, 'n': 21, 'trace_an': 0}
-
id: 50357986
{'hecke_orbit_code': 36028797052519489, 'n': 22, 'trace_an': 0}
-
id: 50357987
{'hecke_orbit_code': 36028797052519489, 'n': 23, 'trace_an': -2}
-
id: 50357988
{'hecke_orbit_code': 36028797052519489, 'n': 24, 'trace_an': 0}
-
id: 50357989
{'hecke_orbit_code': 36028797052519489, 'n': 25, 'trace_an': -4}
-
id: 50357990
{'hecke_orbit_code': 36028797052519489, 'n': 26, 'trace_an': -1}
-
id: 50357991
{'hecke_orbit_code': 36028797052519489, 'n': 27, 'trace_an': 0}
-
id: 50357992
{'hecke_orbit_code': 36028797052519489, 'n': 28, 'trace_an': -2}
-
id: 50357993
{'hecke_orbit_code': 36028797052519489, 'n': 29, 'trace_an': 9}
-
id: 50357994
{'hecke_orbit_code': 36028797052519489, 'n': 30, 'trace_an': 0}
-
id: 50357995
{'hecke_orbit_code': 36028797052519489, 'n': 31, 'trace_an': -2}
-
id: 50357996
{'hecke_orbit_code': 36028797052519489, 'n': 32, 'trace_an': 5}
-
id: 50357997
{'hecke_orbit_code': 36028797052519489, 'n': 33, 'trace_an': 0}
-
id: 50357998
{'hecke_orbit_code': 36028797052519489, 'n': 34, 'trace_an': -5}
-
id: 50357999
{'hecke_orbit_code': 36028797052519489, 'n': 35, 'trace_an': -2}
-
id: 50358000
{'hecke_orbit_code': 36028797052519489, 'n': 36, 'trace_an': 0}
-
id: 50358001
{'hecke_orbit_code': 36028797052519489, 'n': 37, 'trace_an': -3}
-
id: 50358002
{'hecke_orbit_code': 36028797052519489, 'n': 38, 'trace_an': -6}
-
id: 50358003
{'hecke_orbit_code': 36028797052519489, 'n': 39, 'trace_an': 0}
-
id: 50358004
{'hecke_orbit_code': 36028797052519489, 'n': 40, 'trace_an': 3}
-
id: 50358005
{'hecke_orbit_code': 36028797052519489, 'n': 41, 'trace_an': -5}
-
id: 50358006
{'hecke_orbit_code': 36028797052519489, 'n': 42, 'trace_an': 0}
-
id: 50358007
{'hecke_orbit_code': 36028797052519489, 'n': 43, 'trace_an': 0}
-
id: 50358008
{'hecke_orbit_code': 36028797052519489, 'n': 44, 'trace_an': 0}
-
id: 50358009
{'hecke_orbit_code': 36028797052519489, 'n': 45, 'trace_an': 0}
-
id: 50358010
{'hecke_orbit_code': 36028797052519489, 'n': 46, 'trace_an': -2}
-
id: 50358011
{'hecke_orbit_code': 36028797052519489, 'n': 47, 'trace_an': -2}
-
id: 50358012
{'hecke_orbit_code': 36028797052519489, 'n': 48, 'trace_an': 0}
-
id: 50358013
{'hecke_orbit_code': 36028797052519489, 'n': 49, 'trace_an': -3}
-
id: 50358014
{'hecke_orbit_code': 36028797052519489, 'n': 50, 'trace_an': -4}
-
id: 50358015
{'hecke_orbit_code': 36028797052519489, 'n': 51, 'trace_an': 0}
-
id: 50358016
{'hecke_orbit_code': 36028797052519489, 'n': 52, 'trace_an': 1}
-
id: 50358017
{'hecke_orbit_code': 36028797052519489, 'n': 53, 'trace_an': -9}
-
id: 50358018
{'hecke_orbit_code': 36028797052519489, 'n': 54, 'trace_an': 0}
-
id: 50358019
{'hecke_orbit_code': 36028797052519489, 'n': 55, 'trace_an': 0}
-
id: 50358020
{'hecke_orbit_code': 36028797052519489, 'n': 56, 'trace_an': -6}
-
id: 50358021
{'hecke_orbit_code': 36028797052519489, 'n': 57, 'trace_an': 0}
-
id: 50358022
{'hecke_orbit_code': 36028797052519489, 'n': 58, 'trace_an': 9}
-
id: 50358023
{'hecke_orbit_code': 36028797052519489, 'n': 59, 'trace_an': -8}
-
id: 50358024
{'hecke_orbit_code': 36028797052519489, 'n': 60, 'trace_an': 0}
-
id: 50358025
{'hecke_orbit_code': 36028797052519489, 'n': 61, 'trace_an': -6}
-
id: 50358026
{'hecke_orbit_code': 36028797052519489, 'n': 62, 'trace_an': -2}
-
id: 50358027
{'hecke_orbit_code': 36028797052519489, 'n': 63, 'trace_an': 0}
-
id: 50358028
{'hecke_orbit_code': 36028797052519489, 'n': 64, 'trace_an': 7}
-
id: 50358029
{'hecke_orbit_code': 36028797052519489, 'n': 65, 'trace_an': 1}
-
id: 50358030
{'hecke_orbit_code': 36028797052519489, 'n': 66, 'trace_an': 0}
-
id: 50358031
{'hecke_orbit_code': 36028797052519489, 'n': 67, 'trace_an': 2}
-
id: 50358032
{'hecke_orbit_code': 36028797052519489, 'n': 68, 'trace_an': 5}
-
id: 50358033
{'hecke_orbit_code': 36028797052519489, 'n': 69, 'trace_an': 0}
-
id: 50358034
{'hecke_orbit_code': 36028797052519489, 'n': 70, 'trace_an': -2}
-
id: 50358035
{'hecke_orbit_code': 36028797052519489, 'n': 71, 'trace_an': -12}
-
id: 50358036
{'hecke_orbit_code': 36028797052519489, 'n': 72, 'trace_an': 0}
-
id: 50358037
{'hecke_orbit_code': 36028797052519489, 'n': 73, 'trace_an': 2}
-
id: 50358038
{'hecke_orbit_code': 36028797052519489, 'n': 74, 'trace_an': -3}
-
id: 50358039
{'hecke_orbit_code': 36028797052519489, 'n': 75, 'trace_an': 0}
-
id: 50358040
{'hecke_orbit_code': 36028797052519489, 'n': 76, 'trace_an': 6}
-
id: 50358041
{'hecke_orbit_code': 36028797052519489, 'n': 77, 'trace_an': 0}
-
id: 50358042
{'hecke_orbit_code': 36028797052519489, 'n': 78, 'trace_an': 0}
-
id: 50358043
{'hecke_orbit_code': 36028797052519489, 'n': 79, 'trace_an': 10}
-
id: 50358044
{'hecke_orbit_code': 36028797052519489, 'n': 80, 'trace_an': 1}
-
id: 50358045
{'hecke_orbit_code': 36028797052519489, 'n': 81, 'trace_an': 0}
-
id: 50358046
{'hecke_orbit_code': 36028797052519489, 'n': 82, 'trace_an': -5}
-
id: 50358047
{'hecke_orbit_code': 36028797052519489, 'n': 83, 'trace_an': 6}
-
id: 50358048
{'hecke_orbit_code': 36028797052519489, 'n': 84, 'trace_an': 0}
-
id: 50358049
{'hecke_orbit_code': 36028797052519489, 'n': 85, 'trace_an': 5}
-
id: 50358050
{'hecke_orbit_code': 36028797052519489, 'n': 86, 'trace_an': 0}
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