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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, [7, -7, 0, 1]], [11, [29, -16, -1, 1]], [17, [29, 6, -9, 1]]], 'hecke_orbit': 61, 'hecke_orbit_code': 270215977675791290, '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.ci', '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.cd', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+(-\\beta _{1}-\\beta _{2})q^{5}+\\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, 0, -3], 'trace_hash': 468615306412207766, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.893', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.495', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.706', 'prec': 17}, {'__RealLiteral__': 0, 'data': '283.315', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, 3, -3, 3, 0, -3, -3, 3, 3, 0, 1, -3, 0, -3, 0, 3, 9, 3, 1, 0, 3, 1, 1, -3, -1, 0, -3, -3, -2, 0, 4, 3, -1, 9, 0, 3, 14, 1, 0, 0, 6, 3, -29, 1, 0, 1, 7, -3, 3, -1, -9, 0, 16, -3, -7, -3, -1, -2, -10, 0, 11, 4, -3, 3, 0, -1, 2, 9, -1, 0, 14, 3, 7, 14, 1, 1, -1, 0, -2, 0, 3, 6, -5, 3, 21, -29, 2, 1, 0, 0, 0, 1, -4, 7, -7, -3, 6, 3, 1, -1, 3, -9, -17, 0, 0, 16, -3, -3, 5, -7, -14, -3, 31, -1, 14, -2, 0, -10, -9, 0, 0, 11, -6, 4, -21, -3, 41, 3, 29, 0, 17, -1, -1, 2, 0, 9, 37, -1, -30, 0, -7, 14, 0, 3, 7, 7, -3, 14, 7, 1, 50, 1, 9, -1, 35, 0, -18, -2, -16, 0, -1, 3, 30, 6, 7, -5, 25, 3, 0, 21, 1, -29, -30, 2, 1, 1, 10, 0, -13, 0, -8, 0, -11, 1, -28, -4, 10, 7, 3, -7, 43, -3, 9, 6, 0, 3, -25, 1, 3, -1, -2, 3, 2, -9, 28, -17, 1, 0, 33, 0, 7, 16, -14, -3, 0, -3, -4, 5, -7, -7, 0, 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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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-176, -636, -48, 656, 0, -88, 160, -912, 154, -148, 0, 16, 88, 896, -144, -16, -272, 0, -32, 272, 24, 176, -136, 144, -100, -136, 8, -656, -80, -144, 0, 912, -8, 648, -496, 0, 8, -256, 176, -48, -64, -64, -240, 0, 12, 28, 32, -208, -112, 44, 192, -112, 256, 16, -116, 424, 0, -80, 96, 912, -16, -132, 0, -48, 0, -304, -144, -48, -16, 0, 164, 0, 320, -272, 32, -32, -60, -96, -316, 704, 16, 12, 0, -184, 16, 16, -256, -32, -64, 20, 104, -384, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 49098985
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 270215977675791290, 'source_is_minimal': True, 'source_label': '7098.2.a.ci.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 270215977675791290, 'target_is_minimal': True, 'target_label': '7098.2.a.ci.1.2', 'target_level': 7098, 'twist_class_label': '7098.2.a.cd.1.2', 'twist_class_level': 7098, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49098986
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 270215977675791290, 'source_is_minimal': True, 'source_label': '7098.2.a.ci.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 247697979538938810, 'target_is_minimal': True, 'target_label': '7098.2.a.cd.1.2', 'target_level': 7098, 'twist_class_label': '7098.2.a.cd.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
Hide schema
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id: 4378025
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 270215977675791290, 'p': 2}
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id: 4378026
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 270215977675791290, 'p': 3}
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id: 4378027
{'charpoly_factorization': [[[7, -7, 0, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 5}
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id: 4378028
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 270215977675791290, 'p': 7}
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id: 4378029
{'charpoly_factorization': [[[29, -16, -1, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 11}
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id: 4378030
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 270215977675791290, 'p': 13}
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id: 4378031
{'charpoly_factorization': [[[29, 6, -9, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 17}
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id: 4378032
{'charpoly_factorization': [[[29, -16, -1, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 19}
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id: 4378033
{'charpoly_factorization': [[[-83, -44, -1, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 23}
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id: 4378034
{'charpoly_factorization': [[[-71, -29, 2, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 29}
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id: 4378035
{'charpoly_factorization': [[[169, -39, -4, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 31}
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id: 4378036
{'charpoly_factorization': [[[7, 35, -14, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 37}
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id: 4378037
{'charpoly_factorization': [[[41, -37, -6, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 41}
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id: 4378038
{'charpoly_factorization': [[[881, 278, 29, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 43}
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id: 4378039
{'charpoly_factorization': [[[91, -21, -7, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 47}
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id: 4378040
{'charpoly_factorization': [[[43, 55, -16, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 53}
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id: 4378041
{'charpoly_factorization': [[[29, 31, 10, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 59}
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id: 4378042
{'charpoly_factorization': [[[71, 3, -11, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 61}
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id: 4378043
{'charpoly_factorization': [[[-251, -85, -2, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 67}
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id: 4378044
{'charpoly_factorization': [[[56, 28, -14, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 71}
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id: 4378045
{'charpoly_factorization': [[[1267, -210, -7, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 73}
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id: 4378046
{'charpoly_factorization': [[[-1261, -211, 2, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 79}
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id: 4378047
{'charpoly_factorization': [[[-419, -78, 5, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 83}
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id: 4378048
{'charpoly_factorization': [[[-497, -147, 0, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 89}
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id: 4378049
{'charpoly_factorization': [[[-757, -205, -6, 1], 1]], 'hecke_orbit_code': 270215977675791290, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 61, 'label': '7098.2.a.ci', '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: 279452000
{'hecke_orbit_code': 270215977675791290, 'n': 1, 'trace_an': 3}
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id: 279452001
{'hecke_orbit_code': 270215977675791290, 'n': 2, 'trace_an': 3}
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id: 279452002
{'hecke_orbit_code': 270215977675791290, 'n': 3, 'trace_an': -3}
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id: 279452003
{'hecke_orbit_code': 270215977675791290, 'n': 4, 'trace_an': 3}
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id: 279452004
{'hecke_orbit_code': 270215977675791290, 'n': 5, 'trace_an': 0}
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id: 279452005
{'hecke_orbit_code': 270215977675791290, 'n': 6, 'trace_an': -3}
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id: 279452006
{'hecke_orbit_code': 270215977675791290, 'n': 7, 'trace_an': -3}
-
id: 279452007
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