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{'Nk2': 4212, 'analytic_conductor': 8.408247332840824, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [1053, 1, [326, 730], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 7056, 'field_disc_factorization': [[2, 4], [3, 2], [7, 2]], 'field_poly': [1, 0, -5, 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': 1, 'hecke_cutters': [[2, [1, 0, -5, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519453, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1053.2.a.i', 'level': 1053, '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': [3, 13], 'level_radical': 39, 'minimal_twist': '1053.2.a.i', 'nf_label': '4.4.7056.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{3}q^{2}-\\beta _{2}q^{4}-\\beta _{3}q^{5}+(-2+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1053.2.a', 'trace_display': [0, 0, 0, -10], 'trace_hash': 105773349861247710, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.749', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [10, 14, 14, 10], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6], 'ALdims_old': [15, 16, 19, 17], 'Nk2': 4212, 'analytic_conductor': 8.408247332840824, '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': [1053, 1, [326, 730], [1, 1]], 'conrey_index': 1, 'cusp_dim': 115, 'dim': 48, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555485, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 8], 'label': '1053.2.a', 'level': 1053, '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': [3, 13], 'level_radical': 39, 'mf_dim': 138, 'mf_new_dim': 48, 'num_forms': 14, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 252, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, -12, 0, 0, 12, 0, 0, 36, 0, 0, 24, 0, 0, -12, 0, 0, -36, 0, 0, -12, 0, 0, -24, 0, 0, 12, 0, 0, -24, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 72, 0, 0, 24, 0, 0, 24, 0, 0, -12, 0, 0, 12, 0, 0, 24, 0, 0, 60, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 0, 48, 0, 0, -72, 0, 0, -60, 0, 0, -24, 0, 0, 60, 0, 0, -36, 0, 0, -96, 0, 0, 36, 0, 0, -72, 0, 0, 48, 0, 0, -24, 0, 0, 12, 0, 0, -144, 0, 0, -96, 0, 0, 144, 0, 0, -60, 0, 0, -36, 0, 0, -24, 0, 0, 24, 0, 0, 12, 0, 0, -84, 0, 0, 60, 0, 0, -36, 0, 0, 48, 0, 0, 48, 0, 0, 60, 0, 0, -12, 0, 0, -36, 0, 0, -24, 0, 0, 120, 0, 0, -156, 0, 0, -96, 0, 0, 12, 0, 0, -108, 0, 0, -12, 0, 0, -132, 0, 0, 0, 0, 0, 96, 0, 0, -36, 0, 0, -60, 0, 0, -48, 0, 0, 36, 0, 0, 168, 0, 0, -36, 0, 0, -60, 0, 0, 96, 0, 0, -120, 0, 0, -108, 0, 0, -120, 0, 0, 24, 0, 0, -240, 0, 0, 144, 0, 0, 24, 0, 0, 24, 0, 0, -84, 0, 0, 0, 0, 0, -108, 0, 0, 144, 0, 0, -108, 0, 0, 60, 0, 0, -144, 0, 0, 204, 0, 0, 24, 0, 0, -96, 0, 0, -168, 0, 0, 192, 0, 0, -180, 0, 0, 0, 0, 0, 132, 0, 0, 84, 0, 0, 96, 0, 0, -36, 0, 0, 0, 0, 0, -12, 0, 0, -84, 0, 0, 0, 0, 0, 24, 0, 0, 156, 0, 0, 48, 0, 0, -84, 0, 0, 24, 0, 0, 48, 0, 0, 180, 0, 0, 24, 0, 0, 168, 0, 0, 36, 0, 0, -24, 0, 0, 12, 0, 0, -60, 0, 0, 36, 0, 0, 84, 0, 0, 12, 0, 0, -84, 0, 0, 228, 0, 0, 36, 0, 0, -144, 0, 0, -264, 0, 0, 72, 0, 0, 108, 0, 0, -84, 0, 0, -12, 0, 0, -36, 0, 0, 180, 0, 0, 60, 0, 0, -72, 0, 0, 144, 0, 0, -120, 0, 0, 168, 0, 0, -72, 0, 0, 132, 0, 0, 348, 0, 0, 12, 0, 0, 240, 0, 0, -60, 0, 0, 0, 0, 0, -204, 0, 0, -24, 0, 0, -36, 0, 0, 0, 0, 0, -36, 0, 0, -48, 0, 0, 240, 0, 0, -180, 0, 0, 24, 0, 0, -36, 0, 0, 168, 0, 0, -84, 0, 0, -24, 0, 0, 84, 0, 0, -84, 0, 0, -204, 0, 0, 12, 0, 0, -192, 0, 0, -156, 0, 0, 336, 0, 0, 48, 0, 0, -12, 0, 0, 108, 0, 0, 84, 0, 0, -108, 0, 0, -48, 0, 0, -120, 0, 0, 132, 0, 0, -12, 0, 0, 72, 0, 0, 120, 0, 0, -300, 0, 0, -84, 0, 0, -192, 0, 0, -132, 0, 0, 120, 0, 0, -96, 0, 0, -468, 0, 0, 0, 0, 0, 180, 0, 0, -240, 0, 0, 168, 0, 0, 156, 0, 0, -144, 0, 0, -144, 0, 0, -456, 0, 0, -12, 0, 0, -156, 0, 0, -120, 0, 0, -24, 0, 0, -72, 0, 0, 72, 0, 0, 48, 0, 0, 72, 0, 0, 132, 0, 0, 132, 0, 0, 0, 0, 0, -132, 0, 0, -240, 0, 0, 348, 0, 0, -96, 0, 0, 24, 0, 0, 12, 0, 0, 420, 0, 0, 72, 0, 0, 48, 0, 0, -120, 0, 0, 324, 0, 0, -84, 0, 0, 408, 0, 0, 96, 0, 0, 204, 0, 0, 84, 0, 0, -204, 0, 0, 156, 0, 0, 12, 0, 0, 216, 0, 0, 48, 0, 0, 72, 0, 0, 468, 0, 0, 12, 0, 0, 60, 0, 0, 156, 0, 0, -24, 0, 0, 84, 0, 0, 696, 0, 0, 0, 0, 0, -168, 0, 0, -12, 0, 0, 108, 0, 0, -48, 0, 0, 216, 0, 0, -36, 0, 0, 144, 0, 0, -180, 0, 0, -48, 0, 0, 204, 0, 0, -72, 0, 0, -312, 0, 0, 420, 0, 0, -264, 0, 0, 192, 0, 0, -144, 0, 0, -48, 0, 0, -72, 0, 0, 108, 0, 0, 84, 0, 0, 528, 0, 0, -48, 0, 0, 12, 0, 0, 132, 0, 0, -108, 0, 0, -12, 0, 0, 132, 0, 0, -60, 0, 0, 216, 0, 0, 24, 0, 0, -204, 0, 0, -48, 0, 0, 156, 0, 0, 48, 0, 0, -48, 0, 0, -252, 0, 0, 132, 0, 0, 0, 0, 0, -324, 0, 0, 72, 0, 0, -240, 0, 0, -60, 0, 0, 120, 0, 0, -132, 0, 0, -336, 0, 0, -360, 0, 0, 372, 0, 0, 144, 0, 0, -192, 0, 0, 228, 0, 0, -12, 0, 0, 36, 0, 0, 36, 0, 0, -336, 0, 0, -468, 0, 0, -24, 0, 0, -288, 0, 0, -48, 0, 0, -528, 0, 0, 12, 0, 0, 12, 0, 0, -264, 0, 0, -12, 0, 0, -108, 0, 0, -144, 0, 0, -240, 0, 0, 324, 0, 0, 12, 0, 0, -36, 0, 0, -288, 0, 0, -132, 0, 0, 0, 0, 0, 132, 0, 0, -348, 0, 0, 156, 0, 0, -312, 0, 0, -96, 0, 0, 108, 0, 0, 384, 0, 0, -204, 0, 0, 12, 0, 0, 24, 0, 0, 24, 0, 0, 612, 0, 0, 540, 0, 0, -48, 0, 0, 48, 0, 0, -96, 0, 0, -228, 0, 0, 300, 0, 0, -924, 0, 0, -72, 0, 0, 384, 0, 0, -36, 0, 0, 96, 0, 0, 96, 0, 0, 36, 0, 0, 0, 0, 0, -924], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 633108
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1053.2.a.i', 'source_level': 1053, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1053.2.a.i', 'target_level': 1053, 'twist_class_label': '1053.2.a.i', 'twist_class_level': 1053, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 633109
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1053.2.a.i', 'source_level': 1053, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1053.2.a.i', 'target_level': 1053, 'twist_class_label': '1053.2.a.i', 'twist_class_level': 1053, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 633110
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1053.2.a.i', 'source_level': 1053, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1053.2.e.r', 'target_level': 1053, 'twist_class_label': '1053.2.a.i', 'twist_class_level': 1053, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 633111
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '1053.2.a.i', 'source_level': 1053, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1053.2.e.r', 'target_level': 1053, 'twist_class_label': '1053.2.a.i', 'twist_class_level': 1053, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1636800
{'charpoly_factorization': [[[1, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 2}
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id: 1636801
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028797052519453, 'p': 3}
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id: 1636802
{'charpoly_factorization': [[[1, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 5}
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id: 1636803
{'charpoly_factorization': [[[1, 5, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 7}
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id: 1636804
{'charpoly_factorization': [[[25, 0, -17, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 11}
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id: 1636805
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36028797052519453, 'p': 13}
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id: 1636806
{'charpoly_factorization': [[[625, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 17}
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id: 1636807
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 36028797052519453, 'p': 19}
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id: 1636808
{'charpoly_factorization': [[[9, 0, -69, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 23}
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id: 1636809
{'charpoly_factorization': [[[289, 0, -41, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 29}
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id: 1636810
{'charpoly_factorization': [[[-35, 7, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 31}
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id: 1636811
{'charpoly_factorization': [[[37, 13, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 37}
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id: 1636812
{'charpoly_factorization': [[[441, 0, -105, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 41}
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id: 1636813
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 36028797052519453, 'p': 43}
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id: 1636814
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 47}
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id: 1636815
{'charpoly_factorization': [[[3600, 0, -132, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 53}
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id: 1636816
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 59}
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id: 1636817
{'charpoly_factorization': [[[1, -5, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 61}
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id: 1636818
{'charpoly_factorization': [[[85, 19, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 67}
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id: 1636819
{'charpoly_factorization': [[[-63, 0, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 71}
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id: 1636820
{'charpoly_factorization': [[[-17, -4, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 73}
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id: 1636821
{'charpoly_factorization': [[[-5, 8, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 79}
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id: 1636822
{'charpoly_factorization': [[[625, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 83}
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id: 1636823
{'charpoly_factorization': [[[6241, 0, -185, 0, 1], 1]], 'hecke_orbit_code': 36028797052519453, 'p': 89}
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id: 1636824
{'charpoly_factorization': [[[-164, 10, 1], 2]], 'hecke_orbit_code': 36028797052519453, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '1053.2.a.i', 'level': 1053, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50352805
{'hecke_orbit_code': 36028797052519453, 'n': 1, 'trace_an': 4}
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id: 50352806
{'hecke_orbit_code': 36028797052519453, 'n': 2, 'trace_an': 0}
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id: 50352807
{'hecke_orbit_code': 36028797052519453, 'n': 3, 'trace_an': 0}
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