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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [31, 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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 75968016, 'field_disc_factorization': [[2, 4], [3, 1], [347, 1], [4561, 1]], 'field_poly': [-6, -6, 14, 9, -9, -1, 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, [-6, -6, 14, 9, -9, -1, 1]], [7, [-48, 336, 184, -56, -28, 2, 1]], [11, [-4, 12, 48, -53, -5, 7, 1]], [13, [-1632, 720, 400, -122, -38, 4, 1]], [17, [-1909, -240, 899, -40, -67, 0, 1]], [29, [19277, -11364, 291, 640, -65, -8, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911568191, 'hecke_ring_generator_nbound': 2, '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': '6975.2.a.cc', 'level': 6975, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '2325.2.a.y', 'nf_label': '6.6.75968016.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{4}+\\beta _{5})q^{4}+(\\beta _{2}-\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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-0.2966900620343387, -0.16581958202407734, -0.21921517374948943, -0.43332224231678307, -0.2683986626333978, -0.26970411293899355, -0.12639501250932056, -0.36688932482410874, -0.320295597942343, -0.26953454757215073, -0.11866105310858739, -0.21488267449101295, -0.1672697503273988, -0.26089033116014726, -0.19738424722419626], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.4625094694501546, 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911568191, 'label': '6975.2.a.cc.1.6', 'level': 6975, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 26, 30, 18, 35, 32, 35, 41], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [89, 100, 90, 96, 91, 76, 79, 79], 'Nk2': 27900, 'analytic_conductor': 55.69565540984307, '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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 237, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13, 17, 29], 'hecke_orbit_code': 33561407, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 10, 11, 11, 16], 'label': '6975.2.a', 'level': 6975, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 31], 'level_radical': 465, 'mf_dim': 984, 'mf_new_dim': 237, 'num_forms': 63, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 237, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [237, 0, 0, 238, 0, 0, 0, -3, 0, 0, 0, 0, 0, -7, 0, 248, -8, 0, 4, 0, 0, 6, 6, 0, 0, 36, 0, 9, 32, 0, -3, -6, 0, 16, 0, 0, -2, -7, 0, 0, 0, 0, 30, 42, 0, 26, -28, 0, 211, 0, 0, 6, 6, 0, 0, 6, 0, 10, -28, 0, 12, -4, 0, 317, 0, 0, 48, 18, 0, 0, 36, 0, 14, -20, 0, 9, 24, 0, -18, 0, 0, 11, -12, 0, 0, 20, 0, 28, 20, 0, -14, 8, 0, -40, 0, 0, -4, 7, 0, 0, 48, 0, 0, 68, 0, 62, 52, 0, 20, 0, 0, 21, -44, 0, 0, 88, 0, -5, 10, 0, 273, -36, 0, -6, 0, 0, 8, -40, 0, 0, 72, 0, -2, -24, 0, 20, 8, 0, 60, 0, 0, -49, -20, 0, 0, -60, 0, 108, 138, 0, -42, -30, 0, 82, 0, 0, -32, 100, 0, 0, -42, 0, 20, 29, 0, -54, 112, 0, 255, 0, 0, 46, -14, 0, 0, 102, 0, 42, -6, 0, 36, -78, 0, 42, 0, 0, -24, -4, 0, 0, 104, 0, 64, 33, 0, 303, -42, 0, 16, 0, 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-677, 0, -8, -252, 0, 148, 0, 0, 530, 52, 0, 0, 110, 0, 33, -2, 0, 237, -88, 0, -304, 0, 0, -44, -407, 0, 0, 172, 0, 112, -150, 0, -668, -8, 0, -72, 0, 0, -132, 112, 0, 0, -436, 0, 112, 196, 0, -42, -14, 0, -527, 0, 0, 248, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49069734
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 243194379911568191, 'target_is_minimal': False, 'target_label': '6975.2.a.cc.1.6', 'target_level': 6975, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49069735
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448661, 'target_is_minimal': True, 'target_label': '2325.2.a.y.1.1', 'target_level': 2325, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49069736
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656827199, 'target_is_minimal': False, 'target_label': '6975.2.a.ca.1.1', 'target_level': 6975, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49069737
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1024, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561331137808661, 'target_is_minimal': False, 'target_label': '2325.2.c.r.1024.2', 'target_level': 2325, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49069738
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1024, 'target_dim': 12, 'target_embedding_index': 11, 'target_hecke_orbit_code': 76561331137808661, 'target_is_minimal': False, 'target_label': '2325.2.c.r.1024.11', 'target_level': 2325, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49069739
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 6, 'source_hecke_orbit_code': 243194379911568191, 'source_is_minimal': False, 'source_label': '6975.2.a.cc.1.6', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 121597189972560149, 'target_is_minimal': True, 'target_label': '2325.2.a.bb.1.6', 'target_level': 2325, 'twist_class_label': '2325.2.a.y.1.1', 'twist_class_level': 2325, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4342825
{'charpoly_factorization': [[[-6, -6, 14, 9, -9, -1, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 2}
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id: 4342826
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 243194379911568191, 'p': 3}
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id: 4342827
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 243194379911568191, 'p': 5}
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id: 4342828
{'charpoly_factorization': [[[-48, 336, 184, -56, -28, 2, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 7}
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id: 4342829
{'charpoly_factorization': [[[-4, 12, 48, -53, -5, 7, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 11}
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id: 4342830
{'charpoly_factorization': [[[-1632, 720, 400, -122, -38, 4, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 13}
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id: 4342831
{'charpoly_factorization': [[[-1909, -240, 899, -40, -67, 0, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 17}
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id: 4342832
{'charpoly_factorization': [[[-596, 2644, -1624, 169, 71, -17, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 19}
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id: 4342833
{'charpoly_factorization': [[[-184, 124, 226, -31, -35, 1, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 23}
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id: 4342834
{'charpoly_factorization': [[[19277, -11364, 291, 640, -65, -8, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 29}
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id: 4342835
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 243194379911568191, 'p': 31}
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id: 4342836
{'charpoly_factorization': [[[1048, 424, -376, -178, 18, 14, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 37}
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id: 4342837
{'charpoly_factorization': [[[24, -144, -404, -162, 68, 18, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 41}
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id: 4342838
{'charpoly_factorization': [[[12592, 10584, -1604, -923, -17, 15, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 43}
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id: 4342839
{'charpoly_factorization': [[[72, -1524, -1882, -543, -3, 13, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 47}
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id: 4342840
{'charpoly_factorization': [[[-8396, 4728, 532, -477, -19, 13, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 53}
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id: 4342841
{'charpoly_factorization': [[[1784, 5960, 6044, 2266, 392, 32, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 59}
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id: 4342842
{'charpoly_factorization': [[[39168, 58944, 19184, -532, -288, 0, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 61}
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id: 4342843
{'charpoly_factorization': [[[807124, 277008, 13230, -3569, -303, 9, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 67}
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id: 4342844
{'charpoly_factorization': [[[19368, -23772, 8146, -141, -209, 1, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 71}
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id: 4342845
{'charpoly_factorization': [[[6528, 11328, -832, -1128, -60, 14, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 73}
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id: 4342846
{'charpoly_factorization': [[[-266974, -69308, 16170, 2117, -217, -13, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 79}
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id: 4342847
{'charpoly_factorization': [[[1536, 576, -2552, 1363, -197, -9, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 83}
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id: 4342848
{'charpoly_factorization': [[[6351, 33978, -19337, -2728, 201, 34, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 89}
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id: 4342849
{'charpoly_factorization': [[[-4663, -274, 2879, 1556, 327, 30, 1], 1]], 'hecke_orbit_code': 243194379911568191, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '6975.2.a.cc', 'level': 6975, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71839819
{'hecke_orbit_code': 243194379911568191, 'n': 1, 'trace_an': 6}
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id: 71839820
{'hecke_orbit_code': 243194379911568191, 'n': 2, 'trace_an': 1}
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id: 71839821
{'hecke_orbit_code': 243194379911568191, 'n': 3, 'trace_an': 0}
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id: 71839822
{'hecke_orbit_code': 243194379911568191, 'n': 4, 'trace_an': 7}
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id: 71839823
{'hecke_orbit_code': 243194379911568191, 'n': 5, 'trace_an': 0}
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id: 71839824
{'hecke_orbit_code': 243194379911568191, 'n': 6, 'trace_an': 0}
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id: 71839825
{'hecke_orbit_code': 243194379911568191, 'n': 7, 'trace_an': -2}
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id: 71839826
{'hecke_orbit_code': 243194379911568191, 'n': 8, 'trace_an': -3}
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id: 71839827
{'hecke_orbit_code': 243194379911568191, 'n': 9, 'trace_an': 0}
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