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{'Nk2': 27720, 'analytic_conductor': 55.33632860074731, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -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': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[13, [-8, -12, 0, 1]], [17, [24, 0, -6, 1]], [19, [-152, -36, 6, 1]], [23, [456, -72, -6, 1]], [29, [24, -36, -6, 1]], [31, [64, -48, 0, 1]]], 'hecke_orbit': 61, 'hecke_orbit_code': 270215977675791122, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': '6930.2.a.ci', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'minimal_twist': '6930.2.a.ci', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6930.2.a', 'trace_display': [-3, 0, 3, 3], 'trace_hash': 1259951086263218179, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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{'AL_dims': [[[[2, 1], [3, 1], [5, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, -1], [5, -1], [7, -1], [11, -1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, 1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, -1]], 2, 2], [[[2, 1], [3, -1], [5, -1], [7, -1], [11, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [7, 1], [11, 1]], 5, 2], [[[2, -1], [3, -1], [5, 1], [7, -1], [11, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, -1]], 3, 2], [[[2, 1], [3, 1], [5, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, -1], [5, -1], [7, 1], [11, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1], [11, -1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, -1], [11, 1]], 3, 1], [[[2, -1], [3, 1], [5, -1], [7, -1], [11, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [7, 1], [11, 1]], 3, 2], [[[2, 1], [3, -1], [5, -1], 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'char_order': 1, 'char_parity': 1, 'char_values': [6930, 1, [1541, 1387, 2971, 2521], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1697, 'dim': 100, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [13, 17, 19, 23, 29, 31], 'hecke_orbit_code': 33561362, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '6930.2.a', 'level': 6930, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7, 11], 'level_radical': 2310, 'mf_dim': 1760, 'mf_new_dim': 100, 'num_forms': 65, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 3456, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, -16, 0, -16, 0, 0, -4, -24, 0, 100, -8, 0, 0, -16, 0, -8, 0, 0, 0, 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id: 49098839
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 270215977675791122, 'source_is_minimal': True, 'source_label': '6930.2.a.ci.1.2', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 270215977675791122, 'target_is_minimal': True, 'target_label': '6930.2.a.ci.1.2', 'target_level': 6930, 'twist_class_label': '6930.2.a.ci.1.2', 'twist_class_level': 6930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49098840
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 270215977675791122, 'source_is_minimal': True, 'source_label': '6930.2.a.ci.1.2', 'source_level': 6930, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274719577303161618, 'target_is_minimal': True, 'target_label': '6930.2.a.cj.1.2', 'target_level': 6930, 'twist_class_label': '6930.2.a.ci.1.2', 'twist_class_level': 6930, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4328975
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 2}
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id: 4328976
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 3}
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id: 4328977
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 5}
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id: 4328978
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 7}
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id: 4328979
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 11}
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id: 4328980
{'charpoly_factorization': [[[-8, -12, 0, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 13}
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id: 4328981
{'charpoly_factorization': [[[24, 0, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 17}
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id: 4328982
{'charpoly_factorization': [[[-152, -36, 6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 19}
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id: 4328983
{'charpoly_factorization': [[[456, -72, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 23}
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id: 4328984
{'charpoly_factorization': [[[24, -36, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 29}
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id: 4328985
{'charpoly_factorization': [[[64, -48, 0, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 31}
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id: 4328986
{'charpoly_factorization': [[[-8, 0, 6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 37}
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id: 4328987
{'charpoly_factorization': [[[24, -36, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 41}
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id: 4328988
{'charpoly_factorization': [[[-152, -36, 6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 43}
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id: 4328989
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 47}
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id: 4328990
{'charpoly_factorization': [[[24, -36, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 53}
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id: 4328991
{'charpoly_factorization': [[[192, 0, -12, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 59}
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id: 4328992
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 270215977675791122, 'p': 61}
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id: 4328993
{'charpoly_factorization': [[[712, -108, -12, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 67}
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id: 4328994
{'charpoly_factorization': [[[888, -180, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 71}
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id: 4328995
{'charpoly_factorization': [[[-152, -36, 6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 73}
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id: 4328996
{'charpoly_factorization': [[[-512, -192, 0, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 79}
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id: 4328997
{'charpoly_factorization': [[[-576, -144, 0, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 83}
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id: 4328998
{'charpoly_factorization': [[[1704, -180, -12, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 89}
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id: 4328999
{'charpoly_factorization': [[[-296, -132, -6, 1], 1]], 'hecke_orbit_code': 270215977675791122, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 61, 'label': '6930.2.a.ci', 'level': 6930, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 279447000
{'hecke_orbit_code': 270215977675791122, 'n': 1, 'trace_an': 3}
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id: 279447001
{'hecke_orbit_code': 270215977675791122, 'n': 2, 'trace_an': -3}
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id: 279447002
{'hecke_orbit_code': 270215977675791122, 'n': 3, 'trace_an': 0}
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id: 279447003
{'hecke_orbit_code': 270215977675791122, 'n': 4, 'trace_an': 3}
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id: 279447004
{'hecke_orbit_code': 270215977675791122, 'n': 5, 'trace_an': 3}
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id: 279447005
{'hecke_orbit_code': 270215977675791122, 'n': 6, 'trace_an': 0}
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id: 279447006
{'hecke_orbit_code': 270215977675791122, 'n': 7, 'trace_an': 3}
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id: 279447007
{'hecke_orbit_code': 270215977675791122, 'n': 8, 'trace_an': -3}
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id: 279447008
{'hecke_orbit_code': 270215977675791122, 'n': 9, 'trace_an': 0}
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id: 279447009
{'hecke_orbit_code': 270215977675791122, 'n': 10, 'trace_an': -3}
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id: 279447010
{'hecke_orbit_code': 270215977675791122, 'n': 11, 'trace_an': 3}
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id: 279447011
{'hecke_orbit_code': 270215977675791122, 'n': 12, 'trace_an': 0}
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id: 279447012
{'hecke_orbit_code': 270215977675791122, 'n': 13, 'trace_an': 0}
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id: 279447013
{'hecke_orbit_code': 270215977675791122, 'n': 14, 'trace_an': -3}
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id: 279447014
{'hecke_orbit_code': 270215977675791122, 'n': 15, 'trace_an': 0}
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id: 279447015
{'hecke_orbit_code': 270215977675791122, 'n': 16, 'trace_an': 3}
-
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{'hecke_orbit_code': 270215977675791122, 'n': 984, 'trace_an': 0}
-
id: 279447984
{'hecke_orbit_code': 270215977675791122, 'n': 985, 'trace_an': -18}
-
id: 279447985
{'hecke_orbit_code': 270215977675791122, 'n': 986, 'trace_an': 36}
-
id: 279447986
{'hecke_orbit_code': 270215977675791122, 'n': 987, 'trace_an': 0}
-
id: 279447987
{'hecke_orbit_code': 270215977675791122, 'n': 988, 'trace_an': -24}
-
id: 279447988
{'hecke_orbit_code': 270215977675791122, 'n': 989, 'trace_an': 12}
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id: 279447989
{'hecke_orbit_code': 270215977675791122, 'n': 990, 'trace_an': 0}
-
id: 279447990
{'hecke_orbit_code': 270215977675791122, 'n': 991, 'trace_an': 120}
-
id: 279447991
{'hecke_orbit_code': 270215977675791122, 'n': 992, 'trace_an': 0}
-
id: 279447992
{'hecke_orbit_code': 270215977675791122, 'n': 993, 'trace_an': 0}
-
id: 279447993
{'hecke_orbit_code': 270215977675791122, 'n': 994, 'trace_an': -6}
-
id: 279447994
{'hecke_orbit_code': 270215977675791122, 'n': 995, 'trace_an': 24}
-
id: 279447995
{'hecke_orbit_code': 270215977675791122, 'n': 996, 'trace_an': 0}
-
id: 279447996
{'hecke_orbit_code': 270215977675791122, 'n': 997, 'trace_an': 36}
-
id: 279447997
{'hecke_orbit_code': 270215977675791122, 'n': 998, 'trace_an': 12}
-
id: 279447998
{'hecke_orbit_code': 270215977675791122, 'n': 999, 'trace_an': 0}
-
id: 279447999
{'hecke_orbit_code': 270215977675791122, 'n': 1000, 'trace_an': -3}