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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1351, 'conrey_indexes': [1351], 'dim': 6, 'field_disc': -153664, 'field_disc_factorization': [[-1, 1], [2, 6], [7, 4]], 'field_poly': [1, 0, 6, 0, 5, 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': [[7, [169, 0, 181, 0, 26, 0, 1]], [11, [49, 0, 49, 0, 14, 0, 1]], [17, [7, 0, -7, 1]], [31, [6889, 0, 2105, 0, 118, 0, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112590059437298638, 'hecke_ring_generator_nbound': 7, '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, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5070.2.b.z', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '5070.2.a.bp', 'nf_label': '6.0.153664.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{5}q^{2}+q^{3}-q^{4}-\\beta _{5}q^{5}+\\beta _{5}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5070.2.b', 'trace_display': [0, 6, 0, 0], 'trace_hash': 1523751107986510412, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '180.984', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7642.245', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.513', 'prec': 17}, 'traces': [6, 0, 6, -6, 0, 0, 0, 0, 6, 6, 0, -6, 0, 12, 0, 6, 14, 0, 0, 0, 0, 0, -6, 0, -6, 0, 6, 0, 0, 6, 0, 0, 0, 0, -12, -6, 0, 2, 0, -6, 0, 12, -18, 0, 0, 0, 0, 6, -10, 0, 14, 0, 6, 0, 0, -12, 0, 0, 0, 0, 10, -32, 0, -6, 0, 0, 0, -14, -6, 0, 0, 0, 0, 40, -6, 0, 14, 0, 34, 0, 6, -34, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 14, -2, 0, 0, 0, 0, 6, -12, 0, 50, 0, -12, 0, -54, -6, 0, 0, 0, 0, -2, 2, 0, 0, 0, 14, 0, -6, 38, 0, 0, 0, 0, 12, 50, 0, -18, 0, 46, 0, -32, -34, 0, 0, 0, 0, 6, 12, 0, 14, 0, 6, 0, 6, -10, 0, 0, 0, 0, -2, 14, 0, 32, 0, -44, 0, 6, 6, 0, 0, 0, 0, 0, -12, 0, -12, 0, 14, 0, 18, -34, 0, 0, 0, 0, -6, 74, 0, 20, 0, 10, 0, -40, -32, 0, 0, 0, 0, -38, -6, 0, -48, 0, 10, 0, 0, -30, 0, 0, 0, 0, -14, 34, 0, -6, 0, -14, 0, 4, -6, 0, 0, 0, 0, 22, -44, 0, 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mf_hecke_nf • Show schema
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0, -3, 0], [0, 28, 0, 7, 0, -25], [0, 13, 0, -24, 0, 18], [-63, 0, -9, 0, 19, 0], [0, 2, 0, 4, 0, 51], [0, 10, 0, -14, 0, -67], [-44, 0, -3, 0, 3, 0]], 'char_orbit_index': 2, 'field_poly': [1, 0, 6, 0, 5, 0, 1], 'hecke_orbit_code': 112590059437298638, 'hecke_ring_character_values': [[1691, [1, 0, 0, 0, 0, 0]], [4057, [1, 0, 0, 0, 0, 0]], [1861, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0], [0, -3, 0, 1, 0, 0], [5, 0, -3, 0, 1, 0], [0, 9, 0, -4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0], [0, 3, 0, 1, 0, 0], [1, 0, 3, 0, 1, 0], [0, 3, 0, 4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '5070.2.b.z', 'level': 5070, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'conrey_index': 1351, 'cusp_dim': 1036, 'dim': 100, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 68753036238, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8], 'label': '5070.2.b', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1148, 'mf_new_dim': 100, 'num_forms': 27, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 2184, 'trace_bound': 22, 'trace_display': [0, 4, 0, 0], 'traces': [100, 0, 4, -100, 0, 0, 0, 0, 100, -4, 0, -4, 0, -8, 0, 100, 0, 0, 0, 0, 0, -8, 0, 0, -100, 0, 4, 0, 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144, 0, 160, 0, -488, 0, 480, -100, 0, 0, 0, 0, 416, 40, 0, -64, 0, 640, 0, 152, 704, 0, 0, 0, 0, 64, 96, 0, 320, 0, 616, 0, 880, 368, 0, 0, 0, 0, 240, 240, 0, 24, 0, 0, 0, -96, 152, 0, 0, 0, 0, -24, 16, 0, -560, 0, -88, 0, -224, -128, 0, 0, 0, 0, -208, 48, 0, 0, 0, -704, 0, -24, -608, 0, 0, 0, 0, 24, -576, 0, 248, 0, -64, 0, -672, -32, 0, 0, 0, 0, -352, -4], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1241326
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '5070.2.b.z', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': True, 'target_label': '5070.2.a.bp', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp', 'twist_class_level': 5070, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241327
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '5070.2.b.z', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 49, 'target_is_minimal': True, 'target_label': '5070.2.a.bw', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp', 'twist_class_level': 5070, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241328
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '5070.2.b.z', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '5070.2.b.z', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp', 'twist_class_level': 5070, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1241329
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 6, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '5070.2.b.z', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '5070.2.b.z', 'target_level': 5070, 'twist_class_label': '5070.2.a.bp', 'twist_class_level': 5070, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3791175
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 112590059437298638, 'p': 2}
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id: 3791176
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 112590059437298638, 'p': 3}
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id: 3791177
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 112590059437298638, 'p': 5}
-
id: 3791178
{'charpoly_factorization': [[[169, 0, 181, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 7}
-
id: 3791179
{'charpoly_factorization': [[[49, 0, 49, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 11}
-
id: 3791180
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 112590059437298638, 'p': 13}
-
id: 3791181
{'charpoly_factorization': [[[7, 0, -7, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 17}
-
id: 3791182
{'charpoly_factorization': [[[169, 0, 230, 0, 33, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 19}
-
id: 3791183
{'charpoly_factorization': [[[1, -4, 3, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 23}
-
id: 3791184
{'charpoly_factorization': [[[-203, -91, 0, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 29}
-
id: 3791185
{'charpoly_factorization': [[[6889, 0, 2105, 0, 118, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 31}
-
id: 3791186
{'charpoly_factorization': [[[9409, 0, 11801, 0, 222, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 37}
-
id: 3791187
{'charpoly_factorization': [[[12769, 0, 2558, 0, 129, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 41}
-
id: 3791188
{'charpoly_factorization': [[[-169, -22, 9, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 43}
-
id: 3791189
{'charpoly_factorization': [[[2401, 0, 1715, 0, 147, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 47}
-
id: 3791190
{'charpoly_factorization': [[[13, -18, -3, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 53}
-
id: 3791191
{'charpoly_factorization': [[[49, 0, 294, 0, 77, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 59}
-
id: 3791192
{'charpoly_factorization': [[[-1, 6, -5, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 61}
-
id: 3791193
{'charpoly_factorization': [[[5041, 0, 3986, 0, 129, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 67}
-
id: 3791194
{'charpoly_factorization': [[[2401, 0, 686, 0, 49, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 71}
-
id: 3791195
{'charpoly_factorization': [[[187489, 0, 19498, 0, 269, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 73}
-
id: 3791196
{'charpoly_factorization': [[[587, 10, -17, 1], 2]], 'hecke_orbit_code': 112590059437298638, 'p': 79}
-
id: 3791197
{'charpoly_factorization': [[[121801, 0, 18829, 0, 278, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 83}
-
id: 3791198
{'charpoly_factorization': [[[613089, 0, 25434, 0, 297, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 89}
-
id: 3791199
{'charpoly_factorization': [[[28561, 0, 12337, 0, 290, 0, 1], 1]], 'hecke_orbit_code': 112590059437298638, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 26, 'label': '5070.2.b.z', 'level': 5070, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 260116000
{'hecke_orbit_code': 112590059437298638, 'n': 1, 'trace_an': 6}
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id: 260116001
{'hecke_orbit_code': 112590059437298638, 'n': 2, 'trace_an': 0}
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id: 260116002
{'hecke_orbit_code': 112590059437298638, 'n': 3, 'trace_an': 6}
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id: 260116003
{'hecke_orbit_code': 112590059437298638, 'n': 4, 'trace_an': -6}
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id: 260116004
{'hecke_orbit_code': 112590059437298638, 'n': 5, 'trace_an': 0}
-
id: 260116005
{'hecke_orbit_code': 112590059437298638, 'n': 6, 'trace_an': 0}
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id: 260116006
{'hecke_orbit_code': 112590059437298638, 'n': 7, 'trace_an': 0}
-
id: 260116007
{'hecke_orbit_code': 112590059437298638, 'n': 8, 'trace_an': 0}
-
id: 260116008
{'hecke_orbit_code': 112590059437298638, 'n': 9, 'trace_an': 6}
-
id: 260116009
{'hecke_orbit_code': 112590059437298638, 'n': 10, 'trace_an': 6}
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id: 260116010
{'hecke_orbit_code': 112590059437298638, 'n': 11, 'trace_an': 0}
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id: 260116011
{'hecke_orbit_code': 112590059437298638, 'n': 12, 'trace_an': -6}
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id: 260116012
{'hecke_orbit_code': 112590059437298638, 'n': 13, 'trace_an': 0}
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id: 260116013
{'hecke_orbit_code': 112590059437298638, 'n': 14, 'trace_an': 12}
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id: 260116014
{'hecke_orbit_code': 112590059437298638, 'n': 15, 'trace_an': 0}
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id: 260116015
{'hecke_orbit_code': 112590059437298638, 'n': 16, 'trace_an': 6}
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id: 260116016
{'hecke_orbit_code': 112590059437298638, 'n': 17, 'trace_an': 14}
-
id: 260116017
{'hecke_orbit_code': 112590059437298638, 'n': 18, 'trace_an': 0}
-
id: 260116018
{'hecke_orbit_code': 112590059437298638, 'n': 19, 'trace_an': 0}
-
id: 260116019
{'hecke_orbit_code': 112590059437298638, 'n': 20, 'trace_an': 0}
-
id: 260116020
{'hecke_orbit_code': 112590059437298638, 'n': 21, 'trace_an': 0}
-
id: 260116021
{'hecke_orbit_code': 112590059437298638, 'n': 22, 'trace_an': 0}
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id: 260116022
{'hecke_orbit_code': 112590059437298638, 'n': 23, 'trace_an': -6}
-
id: 260116023
{'hecke_orbit_code': 112590059437298638, 'n': 24, 'trace_an': 0}
-
id: 260116024
{'hecke_orbit_code': 112590059437298638, 'n': 25, 'trace_an': -6}
-
id: 260116025
{'hecke_orbit_code': 112590059437298638, 'n': 26, 'trace_an': 0}
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id: 260116026
{'hecke_orbit_code': 112590059437298638, 'n': 27, 'trace_an': 6}
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id: 260116027
{'hecke_orbit_code': 112590059437298638, 'n': 28, 'trace_an': 0}
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{'hecke_orbit_code': 112590059437298638, 'n': 987, 'trace_an': -84}
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id: 260116987
{'hecke_orbit_code': 112590059437298638, 'n': 988, 'trace_an': 0}
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id: 260116988
{'hecke_orbit_code': 112590059437298638, 'n': 989, 'trace_an': 32}
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id: 260116989
{'hecke_orbit_code': 112590059437298638, 'n': 990, 'trace_an': 0}
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id: 260116990
{'hecke_orbit_code': 112590059437298638, 'n': 991, 'trace_an': 220}
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id: 260116991
{'hecke_orbit_code': 112590059437298638, 'n': 992, 'trace_an': -32}
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id: 260116992
{'hecke_orbit_code': 112590059437298638, 'n': 993, 'trace_an': 0}
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id: 260116993
{'hecke_orbit_code': 112590059437298638, 'n': 994, 'trace_an': 0}
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id: 260116994
{'hecke_orbit_code': 112590059437298638, 'n': 995, 'trace_an': 0}
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id: 260116995
{'hecke_orbit_code': 112590059437298638, 'n': 996, 'trace_an': 0}
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id: 260116996
{'hecke_orbit_code': 112590059437298638, 'n': 997, 'trace_an': 116}
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id: 260116997
{'hecke_orbit_code': 112590059437298638, 'n': 998, 'trace_an': -28}
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id: 260116998
{'hecke_orbit_code': 112590059437298638, 'n': 999, 'trace_an': 0}
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id: 260116999
{'hecke_orbit_code': 112590059437298638, 'n': 1000, 'trace_an': 6}