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mf_newforms • Show schema
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{'Nk2': 5780, 'analytic_conductor': 11.538383092075016, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1445, 2, [1157, 581], [2, 1]], 'cm_discs': [], 'conrey_index': 866, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, -153, -297, 899, 396, -936, -309, 354, 114, -55, -18, 3, 1]], [3, [310249, 0, 3239583, 0, 11785425, 0, 20013476, 0, 19040526, 0, 11163480, 0, 4242572, 0, 1071366, 0, 180849, 0, 20129, 0, 1416, 0, 57, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210950053, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1445.2.d.i', 'level': 1445, 'level_is_powerful': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5780, 'analytic_conductor': 11.538383092075016, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1445, 2, [1157, 581], [2, 1]], 'conrey_index': 866, 'cusp_dim': 134, 'dim': 90, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 206191986085, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 12, 12, 24, 24], 'label': '1445.2.d', 'level': 1445, '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': [5, 17], 'level_radical': 85, 'mf_dim': 170, 'mf_new_dim': 90, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 90, 'sturm_bound': 306, 'trace_bound': 9, 'trace_display': [2, 0, 0, 0], 'traces': [90, 2, 0, 94, 0, 0, 0, 6, -98, 0, 0, 0, -8, 0, 0, 102, 0, 2, 0, 0, 0, 0, 0, 0, -90, 28, 0, 0, 0, -4, 0, -6, -12, 0, -4, -118, 0, -8, 0, 0, 0, -12, -28, 0, 0, 0, 16, 0, -78, -2, 0, 0, 40, 0, -8, 0, 0, 0, -4, -12, 0, 0, 0, 106, 0, 12, -16, 0, -24, 36, 0, -10, 0, 0, 0, -12, 56, 0, 0, 0, 106, 0, 4, -36, 0, -12, -24, 0, -12, 0, 0, 0, 68, 8, 0, 0, 0, -94, 0, -94, 8, 0, 32, 12, 0, 16, 0, 0, 0, 20, 56, 0, 0, 0, -16, 0, 32, -32, 0, 4, -134, 0, -56, 0, 0, 0, 20, -66, 0, 0, 0, -40, 0, 64, -12, 0, -60, 112, 0, -32, 0, 0, 0, -34, -24, 0, 0, 0, -28, 0, -12, -4, 0, -100, 24, 0, 0, 0, 0, 0, -76, 106, 0, 0, 0, 36, 0, 68, 98, 0, -44, 20, 0, -52, 0, 0, 0, 144, 36, 0, 0, 0, -80, 0, 20, -44, 0, 0, 72, 0, 36, 0, 0, 0, 32, 70, 0, 0, 0, -6, 0, -8, -20, 0, 0, -96, 0, -64, 0, 0, 0, -12, -84, 0, 0, 0, 136, 0, -200, -24, 0, -44, -56, 0, 98, 0, 0, 0, -224, -44, 0, 0, 0, -36, 0, 60, 136, 0, 28, 60, 0, -82, 0, 0, 0, -16, -124, 0, 0, 0, 44, 0, 4, -88, 0, 14, -44, 0, 112, 0, 0, 0, 76, 104, 0, 0, 0, -108, 0, 8, -40, 0, 164, 32, 0, -84, 0, 0, 0, 36, 132, 0, 0, 0, -32, 0, 108, -146, 0, -12, -28, 0, -76, 0, 0, 0, 88, -76, 0, 0, 0, 52, 0, 136, -16, 0, 168, 200, 0, -32, 0, 0, 0, 120, -32, 0, 0, 0, -4, 0, 88, -8, 0, -62, 8, 0, 204, 0, 0, 0, 4, 56, 0, 0, 0, -128, 0, 82, -20, 0, -80, 120, 0, -28, 0, 0, 0, 212, -116, 0, 0, 0, -152, 0, 40, -84, 0, -28, 68, 0, 122, 0, 0, 0, 72, 188, 0, 0, 0, -52, 0, 48, 116, 0, 0, 4, 0, -188, 0, 0, 0, -104, 4, 0, 0, 0, -76, 0, -72, -16, 0, -162, 180, 0, -32, 0, 0, 0, -172, -102, 0, 0, 0, -148, 0, 28, -104, 0, -16, 84, 0, -8, 0, 0, 0, 88, 100, 0, 0, 0, -32, 0, 112, -84, 0, -144, -332, 0, -64, 0, 0, 0, 108, 156, 0, 0, 0, -132, 0, 16, 118, 0, -20, 24, 0, -64, 0, 0, 0, -2, 116, 0, 0, 0, -24, 0, -76, -60, 0, 20, 32, 0, -144, 0, 0, 0, 144, 84, 0, 0, 0, -80, 0, 184, 0, 0, -120, 112, 0, -44, 0, 0, 0, 30, -36, 0, 0, 0, 216, 0, -32, -100, 0, -52, 0, 0, -140, 0, 0, 0, -20, 88, 0, 0, 0, 544, 0, -440, -88, 0, -132, -346, 0, -100, 0, 0, 0, -360, 52, 0, 0, 0, 128, 0, 0, 492, 0, -188, 58, 0, -100, 0, 0, 0, 16, -352, 0, 0, 0, -56, 0, 92, -88, 0, -48, 108, 0, 516, 0, 0, 0, 64, -52, 0, 0, 0, 52, 0, -152, -4, 0, 616, 176, 0, 24, 0, 0, 0, -8, 16, 0, 0, 0, -196, 0, 162, -104, 0, 500, 64, 0, 472, 0, 0, 0, 108, -560, 0, 0, 0, -36, 0, -16, 380, 0, 508, -220, 0, -12, 0, 0, 0, -596, 112, 0, 0, 0, -216, 0, -36, -84, 0, -56, -648, 0, 328, 0, 0, 0, 8, 144, 0, 0, 0, 90, 0, -424, -212, 0, 12, 76, 0, -80, 0, 0, 0, 20, -520, 0, 0, 0, 312, 0, 76, -32, 0, -216, 234, 0, -28, 0, 0, 0, 224, 56, 0, 0, 0, 420, 0, 160, 420, 0, -224, -4, 0, -28, 0, 0, 0, 80, 260, 0, 0, 0, -38, 0, -356, 112, 0, -80, 216, 0, -224, 0, 0, 0, -352, 92, 0, 0, 0, -56, 0, 72, -272, 0, -180, -344, 0, -84, 0, 0, 0, 80, 132, 0, 0, 0, 4, 0, 80, -96, 0, -40, -484, 0, -136, 0, 0, 0, -530, 0, 0, 0, 0, -176, 0, 46, -60, 0, -108, 172, 0, 4, 0, 0, 0, 44, 40, 0, 0, 0, -132, 0, -388, 488, 0, 68, 4, 0, -308, 0, 0, 0, 308, 192, 0, 0, 0, -160, 0, 180, -52, 0, -232, 100, 0, 0, 0, 0, 0, 124, -404, 0, 0, 0, 572, 0, 0, -112, 0, -168, 50, 0, -76, 0, 0, 0, -32, -60, 0, 0, 0, -40, 0, 216, -244, 0, 6, 172, 0, 420, 0, 0, 0, 248, 252, 0, 0, 0, 548, 0, 264, -48, 0, 68, -28, 0, -40, 0, 0, 0, 224, 12, 0, 0, 0, -108, 0, 56, -48, 0, 320, -44, 0, -128, 0, 0, 0, -38, 140, 0, 0, 0, -300, 0, -348, -108, 0, -68, 344, 0, 140, 0, 0, 0, 204, 84, 0, 0, 0, -196, 0, 4, -120, 0, 396, 104, 0, 704, 0, 0, 0, 4, -668, 0, 0, 0, -72, 0, 10, 784, 0, -16, -296, 0, -324, 0, 0, 0, -684, 184, 0, 0, 0, -328, 0, -40, 118, 0, 288, -628, 0, -16, 0, 0, 0, 88, 84, 0, 0, 0, -344, 0, -588, -220, 0, 108, 36, 0, -188, 0, 0, 0, -340, 236, 0, 0, 0, 700, 0, 0, -228, 0, -316, 24, 0, 268, 0, 0, 0, -120, 240, 0, 0, 0, 540, 0, 8, -220, 0, 20, 216, 0, -312, 0, 0, 0, 20, -18, 0, 0, 0, 28, 0, -668, 370, 0, 36, 236, 0, 132, 0, 0, 0, 268, -280, 0, 0, 0, -216, 0, 344, -36, 0, -140, -664, 0, -12, 0, 0, 0, 396, 64, 0, 0, 0, -124, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46620535
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 24, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029003210950053, 'target_is_minimal': False, 'target_label': '1445.2.d.i.866.5', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46620536
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 81064793326224805, 'target_is_minimal': True, 'target_label': '1445.2.a.s.1.10', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46620537
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 10, 'target_hecke_orbit_code': 76561193698854309, 'target_is_minimal': True, 'target_label': '1445.2.a.r.1.10', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46620538
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 866, 'target_dim': 24, 'target_embedding_index': 6, 'target_hecke_orbit_code': 36029003210950053, 'target_is_minimal': False, 'target_label': '1445.2.d.i.866.6', 'target_level': 1445, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 46620539
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501011001, 'target_is_minimal': False, 'target_label': '7225.2.a.bn.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '85.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46620540
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 866, 'source_dim': 24, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029003210950053, 'source_is_minimal': False, 'source_label': '1445.2.d.i.866.5', 'source_level': 1445, 'target_conrey_index': 1, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 180143985128381497, 'target_is_minimal': False, 'target_label': '7225.2.a.bo.1.3', 'target_level': 7225, 'twist_class_label': '1445.2.a.r.1.10', 'twist_class_level': 1445, 'twisting_char_label': '85.64', 'twisting_conrey_index': 64, 'weight': 2}
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hecke_orbit_code 36029003210950053 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '1445.2.d.i', 'level': 1445, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 51991363
{'hecke_orbit_code': 36029003210950053, 'n': 1, 'trace_an': 24}
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id: 51991364
{'hecke_orbit_code': 36029003210950053, 'n': 2, 'trace_an': -6}
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id: 51991365
{'hecke_orbit_code': 36029003210950053, 'n': 3, 'trace_an': 0}
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id: 51991366
{'hecke_orbit_code': 36029003210950053, 'n': 4, 'trace_an': 42}
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