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mf_newforms • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1040, 2, [911, 261, 417, 561], [2, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 129, 'conrey_indexes': [129], 'dim': 10, 'field_disc': -13568791085056, 'field_disc_factorization': [[-1, 1], [2, 16], [14389, 2]], 'field_poly': [1, 0, 13, 0, 42, 0, 36, 0, 11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, 0, 224, 0, 256, 0, 112, 0, 19, 0, 1]], [7, [-64, 64, 16, -20, -1, 1]], [37, [16, -128, -32, 28, 11, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021941395162128, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 4, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1040.2.f.g', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '520.2.f.a', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{3}q^{3}+\\beta _{5}q^{5}-\\beta _{2}q^{7}+(-1-\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1040.2.f', 'trace_display': [0, 0, 3, 2], 'trace_hash': 1672335897446110205, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.375', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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0], [0, -14, -15, 0, 0, 7, -7, -7, 7, 0], [0, 0, 0, -6, 2, 7, 7, -3, -3, -4], [-8, -16, -12, 0, 0, -1, 1, -2, 2, 0], [32, 0, 4, 0, 0, 0, 0, 4, -4, 0]], 'char_orbit_index': 6, 'field_poly': [1, 0, 13, 0, 42, 0, 36, 0, 11, 0, 1], 'hecke_orbit_code': 27021941395162128, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [261, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [417, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [561, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2, 2, 1, 4, 4, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 4, 4, 2, 4, 4, 4, 2, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 1, 0, 0, -1, -1, -1], [-10, -1, -3, 0, 0, 0, 0, -1, 1, 0], [0, 0, 0, 6, -2, 2, 2, 5, 5, 6], [24, 2, 9, 0, 0, -1, 1, 4, -4, 0], [0, 0, 0, -20, 7, -18, -18, -29, -29, -37], [-274, -21, -109, 0, 0, 18, -18, -55, 55, 0], [0, 0, 0, 84, -32, 128, 128, 175, 175, 230], [832, 63, 337, 0, 0, -64, 64, 179, -179, 0], [0, 0, 0, -430, 173, -844, -844, -1079, -1079, -1437]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-9, 0, -18, 0, 8, 0, 8, 0, 1, 0], [3, 0, 50, 0, 44, 0, 12, 0, 1, 0], [0, 3, 0, -16, 0, -26, 0, -10, 0, -1], [0, 4, 0, -33, 0, -35, 0, -11, 0, -1], [-23, -27, -146, -146, -152, -152, -52, -52, -5, -5], [23, -27, 146, -146, 152, -152, 52, -52, 5, -5], [-5, -22, -35, -117, -35, -107, -11, -33, -1, -3], [5, -22, 35, -117, 35, -107, 11, -33, 1, -3], [0, 41, 0, 217, 0, 205, 0, 65, 0, 6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '1040.2.f.g', 'level': 1040, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'char_conductor': 65, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [1040, 2, [911, 261, 417, 561], [2, 2, 1, 1]], 'conrey_index': 129, 'cusp_dim': 156, 'dim': 40, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 7, 37], 'hecke_orbit_code': 343630939152, 'hecke_orbit_dims': [2, 2, 4, 4, 8, 10, 10], 'label': '1040.2.f', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 180, 'mf_new_dim': 44, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 40, 'sturm_bound': 336, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 40, 0, 0, 0, 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-304, 0, 0, 0, 0, 0, 0, 0, 0, 0, -656, 0, -288, 0, 0, 0, 748, 0, 0, 0, 0, 0, 312, 0, 0, 0, -136, 0, 0, 0, 488, 0, 0, 0, 0, 0, 352, 0, 0, 0, 192, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -808, 0, 0, 0, 340, 0, 0, 0, 0, 0, -64, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, -320, 0, -288, 0, 0, 0, 0, 0, 0, 0, -880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 376, 0, 0, 0, 0, 0, 64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 627173
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '520.2.f.a', 'target_level': 520, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 627174
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '520.2.f.a', 'target_level': 520, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627175
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '520.2.f.b', 'target_level': 520, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627176
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '520.2.f.b', 'target_level': 520, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 627177
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1040.2.f.f', 'target_level': 1040, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627178
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1040.2.f.f', 'target_level': 1040, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627179
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1040.2.f.g', 'target_level': 1040, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 627180
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1040.2.f.g', 'target_level': 1040, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 627181
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 11, 'target_dim': 20, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2600.2.k.f', 'target_level': 2600, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 627182
{'conductor': 260, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 10, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1040.2.f.g', 'source_level': 1040, 'target_char_orbit': 11, 'target_dim': 20, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2600.2.k.f', 'target_level': 2600, 'twist_class_label': '520.2.f.a', 'twist_class_level': 520, 'twisting_char_label': '260.p', 'twisting_char_orbit': 16, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1623525
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 27021941395162128, 'p': 2}
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id: 1623526
{'charpoly_factorization': [[[64, 0, 224, 0, 256, 0, 112, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 3}
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id: 1623527
{'charpoly_factorization': [[[3125, -1875, 625, -300, 70, 14, 14, -12, 5, -3, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 5}
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id: 1623528
{'charpoly_factorization': [[[-64, 64, 16, -20, -1, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 7}
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id: 1623529
{'charpoly_factorization': [[[1024, 0, 4800, 0, 5728, 0, 1152, 0, 64, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 11}
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id: 1623530
{'charpoly_factorization': [[[371293, -57122, -15379, 6760, 650, -1132, 50, 40, -7, -2, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 13}
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id: 1623531
{'charpoly_factorization': [[[262144, 0, 393216, 0, 65536, 0, 4064, 0, 107, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 17}
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id: 1623532
{'charpoly_factorization': [[[256, 0, 6464, 0, 24416, 0, 2688, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 19}
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id: 1623533
{'charpoly_factorization': [[[256, 0, 2880, 0, 2912, 0, 608, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 23}
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id: 1623534
{'charpoly_factorization': [[[-64, -304, 320, -56, -4, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 29}
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id: 1623535
{'charpoly_factorization': [[[256, 0, 2368, 0, 4832, 0, 2496, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 31}
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id: 1623536
{'charpoly_factorization': [[[16, -128, -32, 28, 11, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 37}
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id: 1623537
{'charpoly_factorization': [[[4194304, 0, 3407872, 0, 360448, 0, 13824, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 41}
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id: 1623538
{'charpoly_factorization': [[[40246336, 0, 8142304, 0, 554304, 0, 16240, 0, 211, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 43}
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id: 1623539
{'charpoly_factorization': [[[64, 64, -16, -20, 1, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 47}
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id: 1623540
{'charpoly_factorization': [[[294191104, 0, 48553984, 0, 2538496, 0, 47232, 0, 364, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 53}
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id: 1623541
{'charpoly_factorization': [[[59228416, 0, 15897920, 0, 1230688, 0, 32512, 0, 316, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 59}
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id: 1623542
{'charpoly_factorization': [[[128, -688, -672, -120, 8, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 61}
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id: 1623543
{'charpoly_factorization': [[[10496, 832, -704, -80, 8, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 67}
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id: 1623544
{'charpoly_factorization': [[[583319104, 0, 78219360, 0, 3683808, 0, 70880, 0, 475, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 71}
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id: 1623545
{'charpoly_factorization': [[[-6752, 2512, 112, -104, 2, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 73}
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id: 1623546
{'charpoly_factorization': [[[83968, 5120, -2176, -144, 14, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 79}
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id: 1623547
{'charpoly_factorization': [[[132736, 26816, -576, -312, -2, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 83}
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id: 1623548
{'charpoly_factorization': [[[16777216, 0, 99090432, 0, 5242880, 0, 88064, 0, 524, 0, 1], 1]], 'hecke_orbit_code': 27021941395162128, 'p': 89}
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id: 1623549
{'charpoly_factorization': [[[4736, -528, -1552, 416, -36, 1], 2]], 'hecke_orbit_code': 27021941395162128, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 7, 'label': '1040.2.f.g', 'level': 1040, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 183567000
{'hecke_orbit_code': 27021941395162128, 'n': 1, 'trace_an': 10}
-
id: 183567001
{'hecke_orbit_code': 27021941395162128, 'n': 2, 'trace_an': 0}
-
id: 183567002
{'hecke_orbit_code': 27021941395162128, 'n': 3, 'trace_an': 0}
-
id: 183567003
{'hecke_orbit_code': 27021941395162128, 'n': 4, 'trace_an': 0}
-
id: 183567004
{'hecke_orbit_code': 27021941395162128, 'n': 5, 'trace_an': 3}
-
id: 183567005
{'hecke_orbit_code': 27021941395162128, 'n': 6, 'trace_an': 0}
-
id: 183567006
{'hecke_orbit_code': 27021941395162128, 'n': 7, 'trace_an': 2}
-
id: 183567007
{'hecke_orbit_code': 27021941395162128, 'n': 8, 'trace_an': 0}
-
id: 183567008
{'hecke_orbit_code': 27021941395162128, 'n': 9, 'trace_an': -8}
-
id: 183567009
{'hecke_orbit_code': 27021941395162128, 'n': 10, 'trace_an': 0}
-
id: 183567010
{'hecke_orbit_code': 27021941395162128, 'n': 11, 'trace_an': 0}
-
id: 183567011
{'hecke_orbit_code': 27021941395162128, 'n': 12, 'trace_an': 0}
-
id: 183567012
{'hecke_orbit_code': 27021941395162128, 'n': 13, 'trace_an': 2}
-
id: 183567013
{'hecke_orbit_code': 27021941395162128, 'n': 14, 'trace_an': 0}
-
id: 183567014
{'hecke_orbit_code': 27021941395162128, 'n': 15, 'trace_an': 13}
-
id: 183567015
{'hecke_orbit_code': 27021941395162128, 'n': 16, 'trace_an': 0}
-
id: 183567016
{'hecke_orbit_code': 27021941395162128, 'n': 17, 'trace_an': 0}
-
id: 183567017
{'hecke_orbit_code': 27021941395162128, 'n': 18, 'trace_an': 0}
-
id: 183567018
{'hecke_orbit_code': 27021941395162128, 'n': 19, 'trace_an': 0}
-
id: 183567019
{'hecke_orbit_code': 27021941395162128, 'n': 20, 'trace_an': 0}
-
id: 183567020
{'hecke_orbit_code': 27021941395162128, 'n': 21, 'trace_an': 0}
-
id: 183567021
{'hecke_orbit_code': 27021941395162128, 'n': 22, 'trace_an': 0}
-
id: 183567022
{'hecke_orbit_code': 27021941395162128, 'n': 23, 'trace_an': 0}
-
id: 183567023
{'hecke_orbit_code': 27021941395162128, 'n': 24, 'trace_an': 0}
-
id: 183567024
{'hecke_orbit_code': 27021941395162128, 'n': 25, 'trace_an': -1}
-
id: 183567025
{'hecke_orbit_code': 27021941395162128, 'n': 26, 'trace_an': 0}
-
id: 183567026
{'hecke_orbit_code': 27021941395162128, 'n': 27, 'trace_an': 0}
-
id: 183567027
{'hecke_orbit_code': 27021941395162128, 'n': 28, 'trace_an': 0}
-
id: 183567028
{'hecke_orbit_code': 27021941395162128, 'n': 29, 'trace_an': 8}
-
id: 183567029
{'hecke_orbit_code': 27021941395162128, 'n': 30, 'trace_an': 0}
-
id: 183567030
{'hecke_orbit_code': 27021941395162128, 'n': 31, 'trace_an': 0}
-
id: 183567031
{'hecke_orbit_code': 27021941395162128, 'n': 32, 'trace_an': 0}
-
id: 183567032
{'hecke_orbit_code': 27021941395162128, 'n': 33, 'trace_an': 8}
-
id: 183567033
{'hecke_orbit_code': 27021941395162128, 'n': 34, 'trace_an': 0}
-
id: 183567034
{'hecke_orbit_code': 27021941395162128, 'n': 35, 'trace_an': 3}
-
id: 183567035
{'hecke_orbit_code': 27021941395162128, 'n': 36, 'trace_an': 0}
-
id: 183567036
{'hecke_orbit_code': 27021941395162128, 'n': 37, 'trace_an': -22}
-
id: 183567037
{'hecke_orbit_code': 27021941395162128, 'n': 38, 'trace_an': 0}
-
id: 183567038
{'hecke_orbit_code': 27021941395162128, 'n': 39, 'trace_an': 12}
-
id: 183567039
{'hecke_orbit_code': 27021941395162128, 'n': 40, 'trace_an': 0}
-
id: 183567040
{'hecke_orbit_code': 27021941395162128, 'n': 41, 'trace_an': 0}
-
id: 183567041
{'hecke_orbit_code': 27021941395162128, 'n': 42, 'trace_an': 0}
-
id: 183567042
{'hecke_orbit_code': 27021941395162128, 'n': 43, 'trace_an': 0}
-
id: 183567043
{'hecke_orbit_code': 27021941395162128, 'n': 44, 'trace_an': 0}
-
id: 183567044
{'hecke_orbit_code': 27021941395162128, 'n': 45, 'trace_an': -4}
-
id: 183567045
{'hecke_orbit_code': 27021941395162128, 'n': 46, 'trace_an': 0}
-
id: 183567046
{'hecke_orbit_code': 27021941395162128, 'n': 47, 'trace_an': -2}
-
id: 183567047
{'hecke_orbit_code': 27021941395162128, 'n': 48, 'trace_an': 0}
-
id: 183567048
{'hecke_orbit_code': 27021941395162128, 'n': 49, 'trace_an': 12}
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