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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 273, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 6, 'char_parity': 1, 'char_values': [273, 6, [92, 157, 106], [3, 5, 4]], 'cm_discs': [-3], 'conrey_index': 152, 'conrey_indexes': [152, 185], '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, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 2130337333521, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 91, 13, -1, 6, 0], [1, 1, 273, 32, 1, 6, 0]], 'is_cm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 273, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 32, 'char_orbit_label': 'bf', 'char_order': 6, 'char_parity': 1, 'char_values': [273, 6, [92, 157, 106], [3, 5, 4]], 'conrey_index': 152, 'cusp_dim': 66, 'dim': 66, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 2130337333521, 'hecke_orbit_dims': [2, 64], 'label': '273.2.bf', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 82, 'mf_new_dim': 82, 'num_forms': 2, 'prim_orbit_index': 32, 'relative_dim': 33, 'sturm_bound': 74, 'trace_bound': 1, 'trace_display': [0, 0, 0, -9], 'traces': [66, 0, 0, 30, 0, -12, -9, 0, 2, 0, 0, 0, -10, 0, -9, -20, 0, 2, 0, 0, 7, 10, 0, 0, -19, 0, 0, -48, 0, -16, -39, 0, 0, 0, 0, 6, 11, 0, -21, 90, 0, -48, -12, 0, -3, 0, 0, 18, 11, 0, -10, 40, 0, -27, 18, 0, -26, -60, 0, 55, 0, 0, -59, -68, 0, 75, -66, 0, -33, 20, 0, -34, 60, 0, 18, -12, 0, -71, 33, 0, -14, 0, 0, 12, -2, 0, 3, 92, 0, 0, -75, 0, 13, 0, 0, 30, 33, 0, 22, -64, 0, -28, 6, 0, 18, 12, 0, 150, -22, 0, 45, -46, 0, 11, 0, 0, -63, 0, 0, -28, 26, 0, 14, 0, 0, -79, -20, 0, 57, 78, 0, -177, 81, 0, -18, 66, 0, 24, -33, 0, 24, 20, 0, -70, 60, 0, -44, -24, 0, -48, -88, 0, 129, 140, 0, 161, -129, 0, 117, 90, 0, -3, 18, 0, 20, -186, 0, 98, -2, 0, 0, 4, 0, 0, 32, 0, 72, -60, 0, 153, 0, 0, 82, 22, 0, 28, -60, 0, 46, 80, 0, 0, 0, 0, -15, -124, 0, -88, -129, 0, 0, -150, 0, -44, 6, 0, 25, 110, 0, 124, 43, 0, 36, -90, 0, 0, 4, 0, -44, 42, 0, -333, 138, 0, 66, -58, 0, -18, -123, 0, -71, 44, 0, -171, 116, 0, 96, 288, 0, 376, 42, 0, 0, -180, 0, 170, -94, 0, 124, -270, 0, -105, 76, 0, -342, -28, 0, 27, -40, 0, -110, 0, 0, 0, 0, 0, 20, -230, 0, -252, -75, 0, 187, -256, 0, 0, -99, 0, -165, 82, 0, 212, 0, 0, -27, 108, 0, -25, 59, 0, -53, 0, 0, 90, 22, 0, 0, -54, 0, 0, -162, 0, -214, -90, 0, 0, 0, 0, 39, 132, 0, -83, 144, 0, -149, -34, 0, -162, 98, 0, -84, 148, 0, -126, 263, 0, -156, -318, 0, 144, -344, 0, 79, 0, 0, -206, -140, 0, 201, 84, 0, 3, 120, 0, -104, 480, 0, 141, -123, 0, 105, 354, 0, -22, 0, 0, -37, -144, 0, 3, 352, 0, 0, -306, 0, 36, 0, 0, 81, 330, 0, -252, -130, 0, -76, 204, 0, 109, 45, 0, 168, 122, 0, 189, -80, 0, -14, 0, 0, -108, 0, 0, -25, 220, 0, 124, 0, 0, 51, 100, 0, -102, 87, 0, -276, 168, 0, -37, 78, 0, 30, 54, 0, -190, -6, 0, -55, 378, 0, -253, -90, 0, 3, -98, 0, 213, 121, 0, 264, -450, 0, 582, 255, 0, -127, 188, 0, -54, -51, 0, 73, 128, 0, 0, 60, 0, 0, -36, 0, 343, 240, 0, 171, 0, 0, 330, -129, 0, 148, -6, 0, -61, 144, 0, 0, -372, 0, -171, -47, 0, -141, -402, 0, 0, -9, 0, 4, -138, 0, 61, 269, 0, 128, -32, 0, 171, 13, 0, 0, 12, 0, -180, -186, 0, -285, 582, 0, -29, 105, 0, -26, -198, 0, -177, -88, 0, -147, 162, 0, 489, -4, 0, 422, -510, 0, 0, -138, 0, -166, -322, 0, -14, -279, 0, -46, -90, 0, -678, -165, 0, 234, -260, 0, -308, 0, 0, 0, 0, 0, 62, -142, 0, -274, -264, 0, 396, -42, 0, 0, -136, 0, -447, 65, 0, 100, 0, 0, -315, 74, 0, -34, 392, 0, -106, 0, 0, 16, 74, 0, 0, -73, 0, 0, -46, 0, -384, -105, 0, 0, 0, 0, -84, 212, 0, -60, 444, 0, -477, -127, 0, -141, 166, 0, -63, 266, 0, -37, 96, 0, -492, -321, 0, -72, -884, 0, 250, 0, 0, -364, 232, 0, 708, -374, 0, -213, 194, 0, -456, 558, 0, 102, -156, 0, 8, 323, 0, 184, 0, 0, 318, 5, 0, 24, 316, 0, 0, -479, 0, 135, 0, 0, -102, 198, 0, -186, -44, 0, 120, 96, 0, 73, -124, 0, 531, 164, 0, 114, 164, 0, -17, 0, 0, -318, 0, 0, -3, 40, 0, -21, 0, 0, 176, -174, 0, 114, 38, 0, -105, 308, 0, -56, 348, 0, 420, 66, 0, 59, 194, 0, -104, 258, 0, 41, -48, 0, 306, -246, 0, 162, 384, 0, 256, -549, 0, 579, -330, 0, -64, 254, 0, -5, -432, 0, 350, -228, 0, 0, -60, 0, 0, -60, 0, 240, 204, 0, 597, 0, 0, 56, -10, 0, 200, 105, 0, -29, 584, 0, 0, 162, 0, 78, -570, 0, -268, -276, 0, 0, -96, 0, -119, 35, 0, 97, -54, 0, 303, 54, 0, 294, -30, 0, 0, -38, 0, -140, -66, 0, -807, 225, 0, 98, 96, 0, -16, -201, 0, -235, 290, 0, -300, -58, 0, 66, 282, 0, 750, 51, 0, 0, -432, 0, 272, -342, 0, 152, -1044, 0, 7, 282, 0, -522, 122, 0, 90, -100, 0, -316, 0, 0, 0, 0, 0, 52, -372, 0, -254, 18, 0, 386, -100, 0, 0, -134, 0, -147, -64, 0, 272, 0, 0, -102, -206, 0, 38, 214, 0, -25, 0, 0, -150, -175, 0, 0, -150, 0, 0, -519, 0, -400, -162, 0, 0, 0, 0, 103, 452, 0, -184, 363, 0, -440, -4, 0, -627, -158, 0, -102, 248, 0, -234, 178, 0, -390, -318, 0, 132, -444, 0, 165, 0, 0, -110, 16, 0, 561, 36, 0, -159, 106, 0, -76, 618, 0, 363, -282, 0, 184, 366, 0, 80, 0, 0, -63, 244, 0, -240, 22, 0, 0, -708, 0, 168, 0, 0, 225, 516, 0, -400, -154, 0, 116, 732, 0, 424, -67, 0, 153, -86, 0, 396, -3, 0, -48, 0, 0, -645, 0, 0, -92, 556, 0, 84, 0, 0, 161, 216, 0, 132, 230, 0, -285, 1046, 0, -86, 300, 0, 399, 312, 0, -190, 100, 0, -75, 798, 0, -402, 2, 0, 270, -360, 0, 261, 640, 0, 282, -810, 0, 423, 594, 0, -138, 372, 0, 72, -306, 0, 165, -32, 0, 0, -306, 0, 0, -754, 0, 475, -156, 0, 306, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 23085769
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 152, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337333521, 'target_is_minimal': True, 'target_label': '273.2.bf.a.152.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 23085770
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 152, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337333521, 'target_is_minimal': True, 'target_label': '273.2.bf.a.152.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 23085771
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 269, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659217, 'target_is_minimal': True, 'target_label': '273.2.r.a.269.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23085772
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 68, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659217, 'target_is_minimal': True, 'target_label': '273.2.r.a.68.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23085773
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 269, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659217, 'target_is_minimal': True, 'target_label': '273.2.r.a.269.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 23085774
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 68, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659217, 'target_is_minimal': True, 'target_label': '273.2.r.a.68.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 23085775
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 185, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337333521, 'target_is_minimal': True, 'target_label': '273.2.bf.a.185.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '91.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 23085776
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 152, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2130337333521, 'source_is_minimal': True, 'source_label': '273.2.bf.a.152.1', 'source_level': 273, 'target_conrey_index': 185, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2130337333521, 'target_is_minimal': True, 'target_label': '273.2.bf.a.185.1', 'target_level': 273, 'twist_class_label': '273.2.r.a.68.1', 'twist_class_level': 273, 'twisting_char_label': '273.185', 'twisting_conrey_index': 185, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 624875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 2}
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id: 624876
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 3}
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id: 624877
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 5}
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id: 624878
{'charpoly_factorization': [[[7, 5, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 7}
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id: 624879
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 11}
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id: 624880
{'charpoly_factorization': [[[13, -2, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 13}
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id: 624881
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 17}
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id: 624882
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 19}
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id: 624883
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 23}
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id: 624884
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 29}
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id: 624885
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 31}
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id: 624886
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 37}
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id: 624887
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 41}
-
id: 624888
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 43}
-
id: 624889
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 47}
-
id: 624890
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 53}
-
id: 624891
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 59}
-
id: 624892
{'charpoly_factorization': [[[243, 0, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 61}
-
id: 624893
{'charpoly_factorization': [[[-11, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 67}
-
id: 624894
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 71}
-
id: 624895
{'charpoly_factorization': [[[192, 24, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 73}
-
id: 624896
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 79}
-
id: 624897
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 83}
-
id: 624898
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2130337333521, 'p': 89}
-
id: 624899
{'charpoly_factorization': [[[27, -9, 1], 1]], 'hecke_orbit_code': 2130337333521, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 32, 'hecke_orbit': 1, 'label': '273.2.bf.a', 'level': 273, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 54653000
{'hecke_orbit_code': 2130337333521, 'n': 1, 'trace_an': 2}
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id: 54653001
{'hecke_orbit_code': 2130337333521, 'n': 2, 'trace_an': 0}
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id: 54653002
{'hecke_orbit_code': 2130337333521, 'n': 3, 'trace_an': 0}
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id: 54653003
{'hecke_orbit_code': 2130337333521, 'n': 4, 'trace_an': -2}
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id: 54653004
{'hecke_orbit_code': 2130337333521, 'n': 5, 'trace_an': 0}
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id: 54653005
{'hecke_orbit_code': 2130337333521, 'n': 6, 'trace_an': 0}
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id: 54653006
{'hecke_orbit_code': 2130337333521, 'n': 7, 'trace_an': -5}
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