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{'Nk2': 27104, 'analytic_conductor': 54.106632409619586, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -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': [6776, 1, [1695, 3389, 969, 3753], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 471655635228721152, 'field_disc_factorization': [[2, 15], [3, 6], [11, 2], [163178221, 1]], 'field_poly': [132, -624, 433, 700, -515, -266, 178, 40, -23, -2, 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': [[3, [132, -624, 433, 700, -515, -266, 178, 40, -23, -2, 1]], [5, [-108, -216, 288, 612, -231, -432, 127, 80, -21, -4, 1]], [13, [17424, -12672, -159588, -31680, 39229, 12072, -1467, -772, -27, 12, 1]], [17, [-416, -3968, -6840, 13152, 2109, -7416, 1902, 246, -90, -2, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755751544, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6776.2.a.bp', 'level': 6776, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '6776.2.a.bo', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}-\\beta _{6}q^{5}+q^{7}+(2-\\beta _{6}+\\beta _{7}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 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10, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.3361227093687473, 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755751544, 'label': '6776.2.a.bp.1.10', 'level': 6776, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [7, -1], [11, 1]], 25, 7], [[[2, -1], [7, -1], [11, -1]], 24, 5], [[[2, 1], [7, 1], [11, 1]], 19, 3], [[[2, 1], [7, -1], [11, -1]], 16, 5], [[[2, -1], [7, -1], [11, 1]], 17, 3], [[[2, -1], [7, 1], [11, 1]], 23, 5], [[[2, 1], [7, 1], [11, -1]], 21, 5], [[[2, -1], [7, 1], [11, -1]], 19, 9]], 'ALdims': [19, 21, 25, 16, 23, 19, 17, 24], 'Nk2': 27104, 'analytic_conductor': 54.106632409619586, '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': [6776, 1, [1695, 3389, 969, 3753], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1009, 'dim': 164, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17], 'hecke_orbit_code': 33561208, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 10, 10, 10, 10], 'label': '6776.2.a', 'level': 6776, 'level_is_prime': False, 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mf_twists_cc • Show schema
Hide schema
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id: 48952334
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 184647584755751544, 'source_is_minimal': True, 'source_label': '6776.2.a.bp.1.10', 'source_level': 6776, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 184647584755751544, 'target_is_minimal': True, 'target_label': '6776.2.a.bp.1.10', 'target_level': 6776, 'twist_class_label': '6776.2.a.bo.1.10', 'twist_class_level': 6776, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48952335
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 184647584755751544, 'source_is_minimal': True, 'source_label': '6776.2.a.bp.1.10', 'source_level': 6776, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 180143985128381048, 'target_is_minimal': True, 'target_label': '6776.2.a.bo.1.10', 'target_level': 6776, 'twist_class_label': '6776.2.a.bo.1.10', 'twist_class_level': 6776, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4284600
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 184647584755751544, 'p': 2}
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id: 4284601
{'charpoly_factorization': [[[132, -624, 433, 700, -515, -266, 178, 40, -23, -2, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 3}
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id: 4284602
{'charpoly_factorization': [[[-108, -216, 288, 612, -231, -432, 127, 80, -21, -4, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 5}
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id: 4284603
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 184647584755751544, 'p': 7}
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id: 4284604
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 184647584755751544, 'p': 11}
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id: 4284605
{'charpoly_factorization': [[[17424, -12672, -159588, -31680, 39229, 12072, -1467, -772, -27, 12, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 13}
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id: 4284606
{'charpoly_factorization': [[[-416, -3968, -6840, 13152, 2109, -7416, 1902, 246, -90, -2, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 17}
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id: 4284607
{'charpoly_factorization': [[[150544, 1419304, -1721835, 617438, -7906, -38466, 5486, 590, -138, -2, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 19}
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id: 4284608
{'charpoly_factorization': [[[17424, -78408, 49785, 93162, -6975, -14178, 892, 722, -63, -10, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 23}
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id: 4284609
{'charpoly_factorization': [[[-1395648, -4342464, -3246768, -380952, 285157, 65308, -4948, -2096, -64, 16, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 29}
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id: 4284610
{'charpoly_factorization': [[[1480704, -307200, -1633152, 154752, 306688, -75488, -2503, 2038, -94, -14, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 31}
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id: 4284611
{'charpoly_factorization': [[[527616, -732672, 96576, 213312, -54944, -20096, 5156, 556, -151, -2, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 37}
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id: 4284612
{'charpoly_factorization': [[[14786064, -21065184, -8832240, 3647592, 366417, -167022, -1773, 2952, -93, -18, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 41}
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id: 4284613
{'charpoly_factorization': [[[-773888, 6296576, -4986288, 554848, 363824, -80784, -5143, 2344, -81, -16, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 43}
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id: 4284614
{'charpoly_factorization': [[[1004544, 14715648, 10823904, -1517376, -1019864, 59368, 28373, -914, -295, 4, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 47}
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id: 4284615
{'charpoly_factorization': [[[-14100512, 16961152, 966744, -6531432, 1760661, -5616, -43116, 3642, 180, -32, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 53}
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id: 4284616
{'charpoly_factorization': [[[30023136, -35549928, 3562173, 5780106, -899091, -239076, 38278, 1910, -363, -4, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 59}
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id: 4284617
{'charpoly_factorization': [[[-28036224, -41140896, 10511236, 6532352, -514424, -252148, 14509, 3506, -203, -16, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 61}
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id: 4284618
{'charpoly_factorization': [[[-258306048, -27643392, 54318816, 5634432, -2610536, -220672, 46685, 2702, -361, -10, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 67}
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id: 4284619
{'charpoly_factorization': [[[82570752, -46638720, -78334896, -24028320, -887112, 547992, 47821, -4082, -405, 10, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 71}
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id: 4284620
{'charpoly_factorization': [[[193189888, 87101440, -32815488, -13354752, 1529088, 512400, -11547, -7110, -210, 22, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 73}
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id: 4284621
{'charpoly_factorization': [[[1126368, -2661480, 1774809, 105732, -519371, 197856, -26604, -272, 405, -36, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 79}
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id: 4284622
{'charpoly_factorization': [[[3562596, 46497060, 36239613, 2145498, -2465682, -115470, 51670, 1186, -414, -2, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 83}
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id: 4284623
{'charpoly_factorization': [[[268423632, -8817984, -60572448, 700272, 3444133, -200358, -60942, 5912, 186, -36, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 89}
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id: 4284624
{'charpoly_factorization': [[[-47190144, -9945984, 28648240, -8528336, -262595, 454960, -61145, -140, 595, -44, 1], 1]], 'hecke_orbit_code': 184647584755751544, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '6776.2.a.bp', 'level': 6776, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274131000
{'hecke_orbit_code': 184647584755751544, 'n': 1, 'trace_an': 10}
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id: 274131001
{'hecke_orbit_code': 184647584755751544, 'n': 2, 'trace_an': 0}
-
id: 274131002
{'hecke_orbit_code': 184647584755751544, 'n': 3, 'trace_an': 2}
-
id: 274131003
{'hecke_orbit_code': 184647584755751544, 'n': 4, 'trace_an': 0}
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id: 274131004
{'hecke_orbit_code': 184647584755751544, 'n': 5, 'trace_an': 4}
-
id: 274131005
{'hecke_orbit_code': 184647584755751544, 'n': 6, 'trace_an': 0}
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id: 274131006
{'hecke_orbit_code': 184647584755751544, 'n': 7, 'trace_an': 10}
-
id: 274131007
{'hecke_orbit_code': 184647584755751544, 'n': 8, 'trace_an': 0}
-
id: 274131008
{'hecke_orbit_code': 184647584755751544, 'n': 9, 'trace_an': 20}
-
id: 274131009
{'hecke_orbit_code': 184647584755751544, 'n': 10, 'trace_an': 0}
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id: 274131010
{'hecke_orbit_code': 184647584755751544, 'n': 11, 'trace_an': 0}
-
id: 274131011
{'hecke_orbit_code': 184647584755751544, 'n': 12, 'trace_an': 0}
-
id: 274131012
{'hecke_orbit_code': 184647584755751544, 'n': 13, 'trace_an': -12}
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id: 274131013
{'hecke_orbit_code': 184647584755751544, 'n': 14, 'trace_an': 0}
-
id: 274131014
{'hecke_orbit_code': 184647584755751544, 'n': 15, 'trace_an': 10}
-
id: 274131015
{'hecke_orbit_code': 184647584755751544, 'n': 16, 'trace_an': 0}
-
id: 274131016
{'hecke_orbit_code': 184647584755751544, 'n': 17, 'trace_an': 2}
-
id: 274131017
{'hecke_orbit_code': 184647584755751544, 'n': 18, 'trace_an': 0}
-
id: 274131018
{'hecke_orbit_code': 184647584755751544, 'n': 19, 'trace_an': 2}
-
id: 274131019
{'hecke_orbit_code': 184647584755751544, 'n': 20, 'trace_an': 0}
-
id: 274131020
{'hecke_orbit_code': 184647584755751544, 'n': 21, 'trace_an': 2}
-
id: 274131021
{'hecke_orbit_code': 184647584755751544, 'n': 22, 'trace_an': 0}
-
id: 274131022
{'hecke_orbit_code': 184647584755751544, 'n': 23, 'trace_an': 10}
-
id: 274131023
{'hecke_orbit_code': 184647584755751544, 'n': 24, 'trace_an': 0}
-
id: 274131024
{'hecke_orbit_code': 184647584755751544, 'n': 25, 'trace_an': 8}
-
id: 274131025
{'hecke_orbit_code': 184647584755751544, 'n': 26, 'trace_an': 0}
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{'hecke_orbit_code': 184647584755751544, 'n': 989, 'trace_an': 8}
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id: 274131989
{'hecke_orbit_code': 184647584755751544, 'n': 990, 'trace_an': 0}
-
id: 274131990
{'hecke_orbit_code': 184647584755751544, 'n': 991, 'trace_an': 90}
-
id: 274131991
{'hecke_orbit_code': 184647584755751544, 'n': 992, 'trace_an': 0}
-
id: 274131992
{'hecke_orbit_code': 184647584755751544, 'n': 993, 'trace_an': -252}
-
id: 274131993
{'hecke_orbit_code': 184647584755751544, 'n': 994, 'trace_an': 0}
-
id: 274131994
{'hecke_orbit_code': 184647584755751544, 'n': 995, 'trace_an': -64}
-
id: 274131995
{'hecke_orbit_code': 184647584755751544, 'n': 996, 'trace_an': 0}
-
id: 274131996
{'hecke_orbit_code': 184647584755751544, 'n': 997, 'trace_an': -172}
-
id: 274131997
{'hecke_orbit_code': 184647584755751544, 'n': 998, 'trace_an': 0}
-
id: 274131998
{'hecke_orbit_code': 184647584755751544, 'n': 999, 'trace_an': -200}
-
id: 274131999
{'hecke_orbit_code': 184647584755751544, 'n': 1000, 'trace_an': 0}