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{'Nk2': 27144, 'analytic_conductor': 54.18648281164087, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, -1], [29, -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': [6786, 1, [3017, 3655, 3511], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 1022003097616, 'field_disc_factorization': [[2, 4], [63875193601, 1]], 'field_poly': [-20, -77, 0, 119, -12, -27, 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': [[5, [-72, 8, 362, 166, -53, -26, 2, 1]], [7, [32, 688, -678, 22, 129, -26, -4, 1]], [11, [-96, -928, 210, 523, -83, -44, 3, 1]], [19, [-50080, 43888, -8068, -2384, 813, -10, -14, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010492546, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6786.2.a.br', 'level': 6786, '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': [2, 3, 13, 29], 'level_radical': 2262, 'minimal_twist': '2262.2.a.z', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta _{5}q^{5}+(1+\\beta _{6})q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6786.2.a', 'trace_display': [-7, 0, 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44, 'hecke_orbit_code': 193654784010492546, 'label': '6786.2.a.br.1.3', 'level': 6786, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 9, 10, 4, 10, 10, 11, 12, 9, 5, 4, 10, 9, 13, 12, 7], 'Nk2': 27144, 'analytic_conductor': 54.18648281164087, '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': [6786, 1, [3017, 3655, 3511], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1245, 'dim': 140, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19], 'hecke_orbit_code': 33561218, 'hecke_orbit_dims': [1, 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, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 7, 9, 9, 10, 10], 'label': '6786.2.a', 'level': 6786, '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': [2, 3, 13, 29], 'level_radical': 2262, 'mf_dim': 1276, 'mf_new_dim': 140, 'num_forms': 48, 'plus_dim': 55, 'prim_orbit_index': 1, 'relative_dim': 140, 'sturm_bound': 2520, 'trace_bound': 11, 'trace_display': [-2, 0, 0, 8], 'traces': [140, -2, 0, 140, 0, 0, 8, -2, 0, 0, 0, 0, 0, 0, 0, 140, 4, 0, 16, 0, 0, -4, 0, 0, 156, -6, 0, 8, 0, 0, 24, -2, 0, 12, 4, 0, 12, 4, 0, 0, -4, 0, 28, 0, 0, 0, 24, 0, 132, -30, 0, 0, -8, 0, 40, 0, 0, 2, -32, 0, 0, 16, 0, 140, 0, 0, 40, 4, 0, -8, -16, 0, 36, 36, 0, 16, 24, 0, 24, 0, 0, 44, 64, 0, 16, 12, 0, -4, 12, 0, -16, 0, 0, 20, 88, 0, 100, -34, 0, 156, 16, 0, 40, -6, 0, 28, 36, 0, 0, 56, 0, 8, 48, 0, 96, 0, 0, 4, 40, 0, 136, 28, 0, 24, 0, 0, -16, -2, 0, 4, 60, 0, 0, 4, 0, 12, -20, 0, 56, 4, 0, 8, 8, 0, 8, 20, 0, 12, 120, 0, -16, 4, 0, 32, -88, 0, 88, 12, 0, 0, 24, 0, 56, -4, 0, 44, 112, 0, 140, -4, 0, 28, -40, 0, 72, 0, 0, 12, -152, 0, -16, -12, 0, 0, 92, 0, 120, 24, 0, 8, 24, 0, 12, 28, 0, 132, 104, 0, -32, -30, 0, -60, -8, 0, -16, 8, 0, 0, -64, 0, -68, -8, 0, 40, -120, 0, -112, 0, 0, 40, 0, 0, -16, 0, 0, -12, 24, 0, 108, 40, 0, 2, -40, 0, 212, -32, 0, 52, 112, 0, -8, -90, 0, 0, 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92, 24, 0, -52, -28, 0, 0, -64, 0, -16, 16, 0, 80, -120, 0, -48, -20, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48978282
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010492546, 'source_is_minimal': False, 'source_label': '6786.2.a.br.1.3', 'source_level': 6786, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010492546, 'target_is_minimal': False, 'target_label': '6786.2.a.br.1.3', 'target_level': 6786, 'twist_class_label': '2262.2.a.z.1.5', 'twist_class_level': 2262, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48978283
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 3, 'source_hecke_orbit_code': 193654784010492546, 'source_is_minimal': False, 'source_label': '6786.2.a.br.1.3', 'source_level': 6786, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 5, 'target_hecke_orbit_code': 112589990717819094, 'target_is_minimal': True, 'target_label': '2262.2.a.z.1.5', 'target_level': 2262, 'twist_class_label': '2262.2.a.z.1.5', 'twist_class_level': 2262, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4288000
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 193654784010492546, 'p': 2}
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id: 4288001
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 193654784010492546, 'p': 3}
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id: 4288002
{'charpoly_factorization': [[[-72, 8, 362, 166, -53, -26, 2, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 5}
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id: 4288003
{'charpoly_factorization': [[[32, 688, -678, 22, 129, -26, -4, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 7}
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id: 4288004
{'charpoly_factorization': [[[-96, -928, 210, 523, -83, -44, 3, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 11}
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id: 4288005
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 193654784010492546, 'p': 13}
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id: 4288006
{'charpoly_factorization': [[[-1776, -2120, 800, 690, -147, -45, 5, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 17}
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id: 4288007
{'charpoly_factorization': [[[-50080, 43888, -8068, -2384, 813, -10, -14, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 19}
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id: 4288008
{'charpoly_factorization': [[[9216, -13312, 528, 3016, 172, -102, -4, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 23}
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id: 4288009
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 193654784010492546, 'p': 29}
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id: 4288010
{'charpoly_factorization': [[[-261824, 177248, -29256, -3912, 1392, -43, -14, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 31}
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id: 4288011
{'charpoly_factorization': [[[-118688, -30624, 15616, 4280, -466, -148, 1, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 37}
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id: 4288012
{'charpoly_factorization': [[[-13968, 35536, -27720, 5724, 551, -170, -4, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 41}
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id: 4288013
{'charpoly_factorization': [[[-576, 3552, -2740, -174, 323, -21, -9, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 43}
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id: 4288014
{'charpoly_factorization': [[[-1536, 4480, 4784, 384, -448, -76, 5, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 47}
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id: 4288015
{'charpoly_factorization': [[[-262656, -265216, 43976, 13740, -1010, -211, 6, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 53}
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id: 4288016
{'charpoly_factorization': [[[-691200, 54656, 85520, 600, -2930, -196, 13, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 59}
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id: 4288017
{'charpoly_factorization': [[[-2110392, -2242380, 164170, 58947, -1383, -438, 3, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 61}
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id: 4288018
{'charpoly_factorization': [[[-40448, 21120, 5960, -5584, 976, 25, -18, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 67}
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id: 4288019
{'charpoly_factorization': [[[-686592, 587776, -81152, -17960, 4476, -179, -16, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 71}
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id: 4288020
{'charpoly_factorization': [[[-409312, 53844, 61372, -2719, -2551, -110, 17, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 73}
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id: 4288021
{'charpoly_factorization': [[[-25600, -56576, -33248, -432, 2526, -199, -11, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 79}
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id: 4288022
{'charpoly_factorization': [[[12288, -52736, 40128, 4816, -1568, -118, 14, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 83}
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id: 4288023
{'charpoly_factorization': [[[266160, -434872, -6276, 36466, 1678, -383, -7, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 89}
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id: 4288024
{'charpoly_factorization': [[[-81344, -91312, 33168, 10328, -1644, -171, 13, 1], 1]], 'hecke_orbit_code': 193654784010492546, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '6786.2.a.br', 'level': 6786, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 70967005
{'hecke_orbit_code': 193654784010492546, 'n': 1, 'trace_an': 7}
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id: 70967006
{'hecke_orbit_code': 193654784010492546, 'n': 2, 'trace_an': -7}
-
id: 70967007
{'hecke_orbit_code': 193654784010492546, 'n': 3, 'trace_an': 0}
-
id: 70967008
{'hecke_orbit_code': 193654784010492546, 'n': 4, 'trace_an': 7}
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id: 70967009
{'hecke_orbit_code': 193654784010492546, 'n': 5, 'trace_an': -2}
-
id: 70967010
{'hecke_orbit_code': 193654784010492546, 'n': 6, 'trace_an': 0}
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id: 70967011
{'hecke_orbit_code': 193654784010492546, 'n': 7, 'trace_an': 4}
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id: 70967012
{'hecke_orbit_code': 193654784010492546, 'n': 8, 'trace_an': -7}
-
id: 70967013
{'hecke_orbit_code': 193654784010492546, 'n': 9, 'trace_an': 0}
-
id: 70967014
{'hecke_orbit_code': 193654784010492546, 'n': 10, 'trace_an': 2}
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id: 70967015
{'hecke_orbit_code': 193654784010492546, 'n': 11, 'trace_an': -3}
-
id: 70967016
{'hecke_orbit_code': 193654784010492546, 'n': 12, 'trace_an': 0}
-
id: 70967017
{'hecke_orbit_code': 193654784010492546, 'n': 13, 'trace_an': 7}
-
id: 70967018
{'hecke_orbit_code': 193654784010492546, 'n': 14, 'trace_an': -4}
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id: 70967019
{'hecke_orbit_code': 193654784010492546, 'n': 15, 'trace_an': 0}
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id: 70967020
{'hecke_orbit_code': 193654784010492546, 'n': 16, 'trace_an': 7}
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id: 70967021
{'hecke_orbit_code': 193654784010492546, 'n': 17, 'trace_an': -5}
-
id: 70967022
{'hecke_orbit_code': 193654784010492546, 'n': 18, 'trace_an': 0}
-
id: 70967023
{'hecke_orbit_code': 193654784010492546, 'n': 19, 'trace_an': 14}
-
id: 70967024
{'hecke_orbit_code': 193654784010492546, 'n': 20, 'trace_an': -2}
-
id: 70967025
{'hecke_orbit_code': 193654784010492546, 'n': 21, 'trace_an': 0}
-
id: 70967026
{'hecke_orbit_code': 193654784010492546, 'n': 22, 'trace_an': 3}
-
id: 70967027
{'hecke_orbit_code': 193654784010492546, 'n': 23, 'trace_an': 4}
-
id: 70967028
{'hecke_orbit_code': 193654784010492546, 'n': 24, 'trace_an': 0}
-
id: 70967029
{'hecke_orbit_code': 193654784010492546, 'n': 25, 'trace_an': 21}
-
id: 70967030
{'hecke_orbit_code': 193654784010492546, 'n': 26, 'trace_an': -7}
-
id: 70967031
{'hecke_orbit_code': 193654784010492546, 'n': 27, 'trace_an': 0}
-
id: 70967032
{'hecke_orbit_code': 193654784010492546, 'n': 28, 'trace_an': 4}
-
id: 70967033
{'hecke_orbit_code': 193654784010492546, 'n': 29, 'trace_an': 7}
-
id: 70967034
{'hecke_orbit_code': 193654784010492546, 'n': 30, 'trace_an': 0}
-
id: 70967035
{'hecke_orbit_code': 193654784010492546, 'n': 31, 'trace_an': 14}
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