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{'Nk2': 6480, 'analytic_conductor': 23.89577355232495, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -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': [405, 1, [326, 82], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 7032, 'field_disc_factorization': [[2, 3], [3, 1], [293, 1]], 'field_poly': [18, -14, -1, 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': 0, 'hecke_cutters': [[2, [-18, -14, 1, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597831332245, 'hecke_ring_generator_nbound': 2, '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': '405.4.a.g', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '405.4.a.g', 'nf_label': '3.3.7032.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+5q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.4.a', 'trace_display': [-1, 0, 15, -25], 'trace_hash': 1021021088164082927, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.893', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.530', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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[75977, -13833, -3475], [-116413, -12131, 11799], [-52684, -52398, 19046], [-107466, 6853, 19987], [-57374, -3650, -22370], [-4441, -12173, -33967], [-624, 31186, 15502], [-98926, -35547, 4179], [4142, -34121, -259], [-12696, -24742, 12034], [138161, 8619, 19697], [3002, -61504, 18900], [-60702, 13224, -31332], [-49842, 41030, -17574], [-45883, 12542, -18678], [181496, -5220, 12948], [-29498, -24922, -19454], [-157685, -13787, -1361], [40758, 20626, -22214], [3654, 32892, -25956], [193866, -12962, 13878], [-154518, 30814, -30102], [166980, -17087, 24043], [-251700, 14097, 10311], [-142253, -21730, -5630], [-151196, -2460, -10996], [-3984, 4145, 19095], [113100, -43676, -36348], [-109862, 51777, 23515], [-45763, 57879, -17307], [108032, 5888, -14272]], 'char_orbit_index': 1, 'field_poly': [18, -14, -1, 1], 'hecke_orbit_code': 27021597831332245, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [10, -1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-10, 1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '405.4.a.g', 'level': 405, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 13, 2], [[[3, 1], [5, 1]], 13, 4], [[[3, 1], [5, -1]], 11, 5], [[[3, -1], [5, 1]], 11, 3]], 'ALdims': [13, 11, 11, 13], 'Nk2': 6480, 'analytic_conductor': 23.89577355232495, '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': [405, 1, [326, 82], [1, 1]], 'conrey_index': 1, 'cusp_dim': 150, 'dim': 48, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109269, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 7, 7], 'label': '405.4.a', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 174, 'mf_new_dim': 48, 'num_forms': 14, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 216, 'trace_bound': 4, 'trace_display': [0, 0, 0, 24], 'traces': [48, 0, 0, 192, 0, 0, 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0, 0, 1203012, 0, 0, 155520, 0, 0, -3748320, 0, 0, -490368, 0, 0, 5112, 0, 0, -884856, 0, 0, 327300, 0, 0, -406380, 0, 0, 845748, 0, 0, 1104168, 0, 0, -1771224, 0, 0, -90000, 0, 0, 2108808, 0, 0, 1553568, 0, 0, -931932, 0, 0, 500148, 0, 0, -1497240, 0, 0, -678972, 0, 0, 2223060, 0, 0, -351648, 0, 0, 1324980, 0, 0, 432360, 0, 0, -33156, 0, 0, -1548588, 0, 0, 834912, 0, 0, 2475888, 0, 0, -1086480, 0, 0, -972600, 0, 0, -709128, 0, 0, -55752, 0, 0, -687636, 0, 0, -9000, 0, 0, 1016460, 0, 0, -2497020, 0, 0, 1299072, 0, 0, 810600, 0, 0, -1297440, 0, 0, 1035576, 0, 0, 903156, 0, 0, -1108392, 0, 0, -1937412, 0, 0, 1437660, 0, 0, 1872132, 0, 0, 392400, 0, 0, 581040, 0, 0, 13776, 0, 0, 1495080, 0, 0, -1303296, 0, 0, -1273536, 0, 0, -1035720, 0, 0, 424824, 0, 0, -376560, 0, 0, -4421160, 0, 0, 968328, 0, 0, -940788, 0, 0, 465312, 0, 0, -117900, 0, 0, -2238744, 0, 0, -1249140, 0, 0, -883728, 0, 0, -1441764, 0, 0, 269280, 0, 0, -947808, 0, 0, 2158800, 0, 0, -1498284, 0, 0, 570936, 0, 0, 299520, 0, 0, 748992, 0, 0, -4687344, 0, 0, 933264, 0, 0, -839628, 0, 0, 313200, 0, 0, -926640, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 304013
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '405.4.a.g', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 304014
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '405.4.a.i', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 304015
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '405.4.e.s', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304016
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '405.4.e.u', 'target_level': 405, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 304017
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2025.4.a.p', 'target_level': 2025, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 304018
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '405.4.a.g', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2025.4.a.r', 'target_level': 2025, 'twist_class_label': '405.4.a.g', 'twist_class_level': 405, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 845725
{'charpoly_factorization': [[[-18, -14, 1, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 2}
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id: 845726
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 27021597831332245, 'p': 3}
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id: 845727
{'charpoly_factorization': [[[-5, 1], 3]], 'hecke_orbit_code': 27021597831332245, 'p': 5}
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id: 845728
{'charpoly_factorization': [[[-16140, -648, 25, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 7}
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id: 845729
{'charpoly_factorization': [[[3000, -911, 58, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 11}
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id: 845730
{'charpoly_factorization': [[[-370352, -7432, 47, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 13}
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id: 845731
{'charpoly_factorization': [[[-90984, -2708, 34, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 17}
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id: 845732
{'charpoly_factorization': [[[-299645, -10777, 5, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 19}
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id: 845733
{'charpoly_factorization': [[[1041156, -15240, -51, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 23}
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id: 845734
{'charpoly_factorization': [[[-11237760, -20063, 350, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 29}
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id: 845735
{'charpoly_factorization': [[[-9539064, 135321, -638, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 31}
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id: 845736
{'charpoly_factorization': [[[-577760, 16032, 414, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 37}
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id: 845737
{'charpoly_factorization': [[[-17799627, -151817, 179, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 41}
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id: 845738
{'charpoly_factorization': [[[18692992, 220832, 836, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 43}
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id: 845739
{'charpoly_factorization': [[[-9005376, -69680, 235, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 47}
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id: 845740
{'charpoly_factorization': [[[-1500684, 35128, 505, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 53}
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id: 845741
{'charpoly_factorization': [[[22317657, -251249, 535, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 59}
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id: 845742
{'charpoly_factorization': [[[-23542832, -294412, 104, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 61}
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id: 845743
{'charpoly_factorization': [[[-15716208, -375180, 40, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 67}
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id: 845744
{'charpoly_factorization': [[[-116183454, -264923, 452, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 71}
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id: 845745
{'charpoly_factorization': [[[8707528, 144236, 710, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 73}
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id: 845746
{'charpoly_factorization': [[[5053056, -120288, 634, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 79}
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id: 845747
{'charpoly_factorization': [[[-222334848, 281952, 1734, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 83}
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id: 845748
{'charpoly_factorization': [[[-17926434, 220725, -852, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 89}
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id: 845749
{'charpoly_factorization': [[[-703275008, -1575168, 0, 1], 1]], 'hecke_orbit_code': 27021597831332245, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '405.4.a.g', 'level': 405, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 180313000
{'hecke_orbit_code': 27021597831332245, 'n': 1, 'trace_an': 3}
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id: 180313001
{'hecke_orbit_code': 27021597831332245, 'n': 2, 'trace_an': -1}
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id: 180313002
{'hecke_orbit_code': 27021597831332245, 'n': 3, 'trace_an': 0}
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id: 180313003
{'hecke_orbit_code': 27021597831332245, 'n': 4, 'trace_an': 5}
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id: 180313004
{'hecke_orbit_code': 27021597831332245, 'n': 5, 'trace_an': 15}
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id: 180313005
{'hecke_orbit_code': 27021597831332245, 'n': 6, 'trace_an': 0}
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id: 180313006
{'hecke_orbit_code': 27021597831332245, 'n': 7, 'trace_an': -25}
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id: 180313007
{'hecke_orbit_code': 27021597831332245, 'n': 8, 'trace_an': 27}
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id: 180313008
{'hecke_orbit_code': 27021597831332245, 'n': 9, 'trace_an': 0}
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id: 180313009
{'hecke_orbit_code': 27021597831332245, 'n': 10, 'trace_an': -5}
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id: 180313010
{'hecke_orbit_code': 27021597831332245, 'n': 11, 'trace_an': -58}
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id: 180313011
{'hecke_orbit_code': 27021597831332245, 'n': 12, 'trace_an': 0}
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id: 180313012
{'hecke_orbit_code': 27021597831332245, 'n': 13, 'trace_an': -47}
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id: 180313013
{'hecke_orbit_code': 27021597831332245, 'n': 14, 'trace_an': -159}
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id: 180313014
{'hecke_orbit_code': 27021597831332245, 'n': 15, 'trace_an': 0}
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id: 180313015
{'hecke_orbit_code': 27021597831332245, 'n': 16, 'trace_an': -127}
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id: 180313016
{'hecke_orbit_code': 27021597831332245, 'n': 17, 'trace_an': -34}
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id: 180313017
{'hecke_orbit_code': 27021597831332245, 'n': 18, 'trace_an': 0}
-
id: 180313018
{'hecke_orbit_code': 27021597831332245, 'n': 19, 'trace_an': -5}
-
id: 180313019
{'hecke_orbit_code': 27021597831332245, 'n': 20, 'trace_an': 25}
-
id: 180313020
{'hecke_orbit_code': 27021597831332245, 'n': 21, 'trace_an': 0}
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id: 180313021
{'hecke_orbit_code': 27021597831332245, 'n': 22, 'trace_an': 260}
-
id: 180313022
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{'hecke_orbit_code': 27021597831332245, 'n': 987, 'trace_an': 0}
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id: 180313987
{'hecke_orbit_code': 27021597831332245, 'n': 988, 'trace_an': 39245}
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id: 180313988
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id: 180313989
{'hecke_orbit_code': 27021597831332245, 'n': 990, 'trace_an': 0}
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id: 180313990
{'hecke_orbit_code': 27021597831332245, 'n': 991, 'trace_an': 8526}
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id: 180313991
{'hecke_orbit_code': 27021597831332245, 'n': 992, 'trace_an': -47208}
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id: 180313992
{'hecke_orbit_code': 27021597831332245, 'n': 993, 'trace_an': 0}
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id: 180313993
{'hecke_orbit_code': 27021597831332245, 'n': 994, 'trace_an': -21402}
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id: 180313994
{'hecke_orbit_code': 27021597831332245, 'n': 995, 'trace_an': 2960}
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id: 180313995
{'hecke_orbit_code': 27021597831332245, 'n': 996, 'trace_an': 0}
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id: 180313996
{'hecke_orbit_code': 27021597831332245, 'n': 997, 'trace_an': 67001}
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id: 180313997
{'hecke_orbit_code': 27021597831332245, 'n': 998, 'trace_an': -75547}
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id: 180313998
{'hecke_orbit_code': 27021597831332245, 'n': 999, 'trace_an': 0}
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id: 180313999
{'hecke_orbit_code': 27021597831332245, 'n': 1000, 'trace_an': 3375}