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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 361, 'conrey_indexes': [361, 961], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 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': [[11, [196, 56, 30, -4, 1]], [13, [-32, 0, 1]], [17, [196, -112, 50, -8, 1]], [19, [64, 64, 56, 8, 1]], [31, [324, 216, 126, 12, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079741591520702, 'hecke_ring_generator_nbound': 13, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1470.2.i.w', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1470.2.a.s', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+(-1-\\beta _{2})q^{3}+(-1-\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1470.2.i', 'trace_display': [2, -2, 2, 0], 'trace_hash': 2127494817515506755, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.754', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.307', 'prec': 20}, {'__RealLiteral__': 0, 'data': '15.542', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1389.536', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, 'traces': [4, 2, -2, -2, 2, -4, 0, -4, -2, -2, 4, -2, 0, 0, -4, -2, 8, 2, -8, -4, 0, 8, -12, 2, -2, 0, 4, 0, 16, -2, -12, 2, 4, 16, 0, 4, -8, 8, 0, -2, -8, 0, 8, 4, 2, 12, 4, 4, 0, -4, 8, 0, -12, 2, 8, 0, 16, 8, -12, 2, -12, -24, 0, 4, 0, -4, -4, 8, 24, 0, 16, 2, -4, 8, -2, 16, 0, 0, -16, 2, -2, -4, -32, 0, 16, 4, -8, -4, 4, 4, 0, 24, -12, -4, 8, 2, -8, 0, -8, -2, 24, -8, 24, 0, 0, -24, -8, -2, -4, 4, 16, 0, 40, 8, 12, -8, 0, -24, 0, 4, -22, 12, 4, -12, -4, 0, 0, 2, -4, 0, -12, -8, 0, -8, 2, -8, -16, 12, 32, 0, -8, 8, 48, -2, 8, -8, 0, 16, -8, 2, -12, 8, -16, 0, -24, 0, -28, 16, -12, 4, 0, -4, 20, 4, -4, -16, 8, 0, 76, 8, -8, -4, 36, -16, 0, -8, -12, -4, -44, 2, -40, 0, 24, 12, 8, 12, -28, -8, 0, 16, -8, -2, 4, -4, 0, 0, -24, -4, -20, 2, -4, 48, 0, -16, -4, -24, -12, 0, 16, 0, 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mf_hecke_nf • Show schema
Hide schema
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0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1470.2.i.w', 'level': 1470, 'maxp': 1999, 'weight': 2}
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1470, 3, [491, 1177, 1081], [3, 3, 2]], 'conrey_index': 361, 'cusp_dim': 608, 'dim': 56, 'eis_dim': 128, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 31], 'hecke_orbit_code': 549789369790, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '1470.2.i', 'level': 1470, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 736, 'mf_new_dim': 56, 'num_forms': 24, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 672, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [56, 0, 0, -28, 0, 0, 0, 0, -28, 4, -4, 0, -16, 0, 0, -28, -8, 0, -4, 0, 0, 16, 0, 0, -28, -4, 0, 0, 32, 0, -8, 0, 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-88, 64, 0, 0, -184, 88, 96, 0, 0, 0, -608, -40, -32, 16, 32, 16, 0, -48, 104, 0, -240, -96, -160, 0, 392, 0, -128, -56, 0, 232, 0, -96, 148, 8, -64, 32, -128, 0, 112, -100, -16, -440, -172, 16, 0, 208, -216, -8, -112, -64, 320, 0, -144, -32, -40, 64, 0, 80, 0, 192, 312, 8, -224, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 742116
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '1470.2.a.s', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742117
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': True, 'target_label': '1470.2.a.t', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742118
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1470.2.i.w', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 742119
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1470.2.i.w', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742120
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1470.2.i.x', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 742121
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1470.2.i.x', 'target_level': 1470, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742122
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '4410.2.a.bw', 'target_level': 4410, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 742123
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '4410.2.a.bz', 'target_level': 4410, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742124
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 86, 'target_is_minimal': False, 'target_label': '7350.2.a.dh', 'target_level': 7350, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 742125
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '1470.2.i.w', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 90, 'target_is_minimal': False, 'target_label': '7350.2.a.dl', 'target_level': 7350, 'twist_class_label': '1470.2.a.s', 'twist_class_level': 1470, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1973575
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 2}
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id: 1973576
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 3}
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id: 1973577
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 5}
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id: 1973578
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 99079741591520702, 'p': 7}
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id: 1973579
{'charpoly_factorization': [[[196, 56, 30, -4, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 11}
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id: 1973580
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 13}
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id: 1973581
{'charpoly_factorization': [[[196, -112, 50, -8, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 17}
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id: 1973582
{'charpoly_factorization': [[[64, 64, 56, 8, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 19}
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id: 1973583
{'charpoly_factorization': [[[784, 336, 116, 12, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 23}
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id: 1973584
{'charpoly_factorization': [[[14, -8, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 29}
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id: 1973585
{'charpoly_factorization': [[[324, 216, 126, 12, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 31}
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id: 1973586
{'charpoly_factorization': [[[4, -16, 66, 8, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 37}
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id: 1973587
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 41}
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id: 1973588
{'charpoly_factorization': [[[-46, -4, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 43}
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id: 1973589
{'charpoly_factorization': [[[196, 56, 30, -4, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 47}
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id: 1973590
{'charpoly_factorization': [[[16, 48, 140, 12, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 53}
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id: 1973591
{'charpoly_factorization': [[[784, 336, 116, 12, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 59}
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id: 1973592
{'charpoly_factorization': [[[16, 48, 140, 12, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 61}
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id: 1973593
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 67}
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id: 1973594
{'charpoly_factorization': [[[-56, -8, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 71}
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id: 1973595
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 73}
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id: 1973596
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 79}
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id: 1973597
{'charpoly_factorization': [[[56, 16, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 83}
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id: 1973598
{'charpoly_factorization': [[[16, 16, 20, -4, 1], 1]], 'hecke_orbit_code': 99079741591520702, 'p': 89}
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id: 1973599
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 99079741591520702, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 23, 'label': '1470.2.i.w', 'level': 1470, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255084000
{'hecke_orbit_code': 99079741591520702, 'n': 1, 'trace_an': 4}
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id: 255084001
{'hecke_orbit_code': 99079741591520702, 'n': 2, 'trace_an': 2}
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id: 255084002
{'hecke_orbit_code': 99079741591520702, 'n': 3, 'trace_an': -2}
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id: 255084003
{'hecke_orbit_code': 99079741591520702, 'n': 4, 'trace_an': -2}
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id: 255084004
{'hecke_orbit_code': 99079741591520702, 'n': 5, 'trace_an': 2}
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id: 255084005
{'hecke_orbit_code': 99079741591520702, 'n': 6, 'trace_an': -4}
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id: 255084006
{'hecke_orbit_code': 99079741591520702, 'n': 7, 'trace_an': 0}
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id: 255084007
{'hecke_orbit_code': 99079741591520702, 'n': 8, 'trace_an': -4}
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id: 255084008
{'hecke_orbit_code': 99079741591520702, 'n': 9, 'trace_an': -2}
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id: 255084009
{'hecke_orbit_code': 99079741591520702, 'n': 10, 'trace_an': -2}
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id: 255084010
{'hecke_orbit_code': 99079741591520702, 'n': 11, 'trace_an': 4}
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id: 255084011
{'hecke_orbit_code': 99079741591520702, 'n': 12, 'trace_an': -2}
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id: 255084012
{'hecke_orbit_code': 99079741591520702, 'n': 13, 'trace_an': 0}
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