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{'Nk2': 28392, 'analytic_conductor': 56.67781535470482, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [13, 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': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-13, 19, -8, 1]], [11, [-1, 6, -5, 1]], [17, [-13, -18, 3, 1]]], 'hecke_orbit': 59, 'hecke_orbit_code': 261208778421050298, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7098.2.a.cg', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '7098.2.a.cg', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(3-\\beta _{1})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7098.2.a', 'trace_display': [-3, 3, 8, -3], 'trace_hash': 1318315925135943661, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.990', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.441', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.530', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.564', 'prec': 17}, {'__RealLiteral__': 0, 'data': '292.058', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [3, -3, 3, 3, 8, -3, -3, -3, 3, -8, 5, 3, 0, 3, 8, 3, -3, -3, 5, 8, -3, -5, -7, -3, 11, 0, 3, -3, -4, -8, -4, -3, 5, 3, -8, 3, -2, -5, 0, -8, 18, 3, 5, 5, 8, 7, 23, 3, 3, -11, -3, 0, -12, -3, 11, 3, 5, 4, 16, 8, 17, 4, -3, 3, 0, -5, 10, -3, -7, 8, -14, -3, 23, 2, 11, 5, -5, 0, 4, 8, 3, -18, 37, -3, -1, -5, -4, -5, -10, -8, 0, -7, -4, -23, 11, -3, 20, -3, 5, 11, -19, 3, 13, 0, -8, 12, -1, 3, 11, -11, -2, -3, -1, -5, -14, -4, 0, -16, 3, -8, -20, -17, 18, -4, 15, 3, -13, -3, 5, 0, 17, 5, -5, -10, 8, 3, 33, 7, 6, -8, 23, 14, 0, 3, 1, -23, 3, -2, 7, -11, 8, -5, -3, 5, 15, 0, -2, -4, -12, -8, 7, -3, 8, 18, 11, -37, 43, 3, 0, 1, 5, 5, -2, 4, -11, 5, 16, 10, 9, 8, -10, 0, 17, 7, -10, 4, 2, 23, -3, -11, -7, 3, 25, -20, 0, 3, -11, -5, -31, -11, 10, 19, 4, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 9, 4], [[[2, 1], [3, -1], [7, 1], [13, 1]], 10, 7], [[[2, 1], [3, 1], [7, 1], [13, 1]], 11, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 12, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 12, 5], [[[2, 1], [3, -1], [7, 1], [13, -1]], 9, 3], [[[2, 1], [3, -1], [7, -1], [13, 1]], 11, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 10, 7], [[[2, -1], [3, -1], [7, -1], [13, 1]], 13, 7], [[[2, -1], [3, 1], [7, 1], [13, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [13, 1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 9, 3], [[[2, -1], [3, 1], [7, 1], [13, 1]], 13, 7]], 'ALdims': [11, 9, 10, 9, 10, 9, 11, 9, 13, 6, 7, 12, 7, 12, 13, 6], 'Nk2': 28392, 'analytic_conductor': 56.67781535470482, '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': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1401, 'dim': 154, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33561530, '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, 2, 2, 2, 2, 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, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6], 'label': '7098.2.a', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 1512, 'mf_new_dim': 154, 'num_forms': 73, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [-2, 0, -4, 0], 'traces': [154, -2, 0, 154, -4, 0, 0, -2, 154, -4, -8, 0, 0, 0, -8, 154, -4, -2, 0, -4, 2, 0, -16, 0, 134, 0, 0, 0, -12, 0, -16, -2, 0, -20, -8, 154, 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mf_twists_cc • Show schema
Hide schema
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id: 49090354
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 261208778421050298, 'source_is_minimal': True, 'source_label': '7098.2.a.cg.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 261208778421050298, 'target_is_minimal': True, 'target_label': '7098.2.a.cg.1.2', 'target_level': 7098, 'twist_class_label': '7098.2.a.cg.1.2', 'twist_class_level': 7098, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49090355
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 261208778421050298, 'source_is_minimal': True, 'source_label': '7098.2.a.cg.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 283726776557902778, 'target_is_minimal': True, 'target_label': '7098.2.a.cl.1.2', 'target_level': 7098, 'twist_class_label': '7098.2.a.cg.1.2', 'twist_class_level': 7098, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4377950
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 261208778421050298, 'p': 2}
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id: 4377951
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 261208778421050298, 'p': 3}
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id: 4377952
{'charpoly_factorization': [[[-13, 19, -8, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 5}
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id: 4377953
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 261208778421050298, 'p': 7}
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id: 4377954
{'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 11}
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id: 4377955
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 261208778421050298, 'p': 13}
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id: 4377956
{'charpoly_factorization': [[[-13, -18, 3, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 17}
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id: 4377957
{'charpoly_factorization': [[[41, -8, -5, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 19}
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id: 4377958
{'charpoly_factorization': [[[-7, -14, 7, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 23}
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id: 4377959
{'charpoly_factorization': [[[-71, -25, 4, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 29}
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id: 4377960
{'charpoly_factorization': [[[-29, -67, 4, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 31}
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id: 4377961
{'charpoly_factorization': [[[-71, -29, 2, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 37}
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id: 4377962
{'charpoly_factorization': [[[351, 45, -18, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 41}
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id: 4377963
{'charpoly_factorization': [[[41, -8, -5, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 43}
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id: 4377964
{'charpoly_factorization': [[[-377, 167, -23, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 47}
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id: 4377965
{'charpoly_factorization': [[[-97, -43, 12, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 53}
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id: 4377966
{'charpoly_factorization': [[[463, -15, -16, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 59}
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id: 4377967
{'charpoly_factorization': [[[41, 31, -17, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 61}
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id: 4377968
{'charpoly_factorization': [[[349, -39, -10, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 67}
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id: 4377969
{'charpoly_factorization': [[[-56, 28, 14, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 71}
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id: 4377970
{'charpoly_factorization': [[[-349, 160, -23, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 73}
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id: 4377971
{'charpoly_factorization': [[[29, -67, -4, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 79}
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id: 4377972
{'charpoly_factorization': [[[-1693, 440, -37, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 83}
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id: 4377973
{'charpoly_factorization': [[[113, -81, 10, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 89}
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id: 4377974
{'charpoly_factorization': [[[-29, 47, -20, 1], 1]], 'hecke_orbit_code': 261208778421050298, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 59, 'label': '7098.2.a.cg', 'level': 7098, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279170000
{'hecke_orbit_code': 261208778421050298, 'n': 1, 'trace_an': 3}
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id: 279170001
{'hecke_orbit_code': 261208778421050298, 'n': 2, 'trace_an': -3}
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id: 279170002
{'hecke_orbit_code': 261208778421050298, 'n': 3, 'trace_an': 3}
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id: 279170003
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id: 279170967
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id: 279170968
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id: 279170969
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id: 279170970
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id: 279170971
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id: 279170972
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id: 279170973
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id: 279170974
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id: 279170975
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id: 279170976
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id: 279170977
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id: 279170978
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id: 279170979
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id: 279170980
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id: 279170981
{'hecke_orbit_code': 261208778421050298, 'n': 982, 'trace_an': 5}
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id: 279170982
{'hecke_orbit_code': 261208778421050298, 'n': 983, 'trace_an': 72}
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id: 279170983
{'hecke_orbit_code': 261208778421050298, 'n': 984, 'trace_an': -18}
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id: 279170984
{'hecke_orbit_code': 261208778421050298, 'n': 985, 'trace_an': -27}
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id: 279170985
{'hecke_orbit_code': 261208778421050298, 'n': 986, 'trace_an': 10}
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id: 279170986
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id: 279170987
{'hecke_orbit_code': 261208778421050298, 'n': 988, 'trace_an': 0}
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id: 279170988
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id: 279170989
{'hecke_orbit_code': 261208778421050298, 'n': 990, 'trace_an': -11}
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id: 279170990
{'hecke_orbit_code': 261208778421050298, 'n': 991, 'trace_an': -34}
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id: 279170991
{'hecke_orbit_code': 261208778421050298, 'n': 992, 'trace_an': 4}
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id: 279170992
{'hecke_orbit_code': 261208778421050298, 'n': 993, 'trace_an': -11}
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id: 279170993
{'hecke_orbit_code': 261208778421050298, 'n': 994, 'trace_an': -14}
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id: 279170994
{'hecke_orbit_code': 261208778421050298, 'n': 995, 'trace_an': -99}
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id: 279170995
{'hecke_orbit_code': 261208778421050298, 'n': 996, 'trace_an': 37}
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id: 279170996
{'hecke_orbit_code': 261208778421050298, 'n': 997, 'trace_an': -85}
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id: 279170997
{'hecke_orbit_code': 261208778421050298, 'n': 998, 'trace_an': 33}
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id: 279170998
{'hecke_orbit_code': 261208778421050298, 'n': 999, 'trace_an': -2}
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id: 279170999
{'hecke_orbit_code': 261208778421050298, 'n': 1000, 'trace_an': -15}