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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, [4, 8, 14, 4, 1]], [13, [0, 1]], [17, [4, 0, 2, 0, 1]], [19, [64, 0, 8, 0, 1]], [31, [2116, -184, 62, 4, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94576141964150206, 'hecke_ring_generator_nbound': 11, '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.v', '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.u', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}-\\beta _{2}q^{3}+\\beta _{2}q^{4}+(1+\\cdots)q^{5}+\\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': 1208862402017656441, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.223', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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[0, -31, 10, -31], [0, 10, -30, 10], [0, 8, 0, 0], [34, 0, 0, 26], [-56, -2, -56, 0], [-16, 40, -16, 0], [0, 10, 42, 10], [-20, -36, -20, 0], [-34, -18, -34, 0], [0, 9, 58, 9], [0, 24, 0, 24], [34, 0, 0, -9], [34, 0, 0, 12], [14, 26, 14, 0], [0, -6, 0, 0], [0, -30, -22, -30], [38, 0, 0, -12], [0, -5, -54, -5], [-2, 0, 0, 52], [0, -35, -16, -35], [0, -36, 28, -36], [-22, -4, -22, 0], [2, 0, 0, -10], [72, 0, 0, 7], [0, -12, 16, -12], [-2, -19, -2, 0], [-14, 0, 0, 14], [20, 0, 20, 0], [-12, 0, 0, 4], [-30, -40, -30, 0], [46, 14, 46, 0], [0, -12, 32, -12]], 'char_orbit_index': 9, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 94576141964150206, 'hecke_ring_character_values': [[491, [1, 0, 0, 0]], [1177, [1, 0, 0, 0]], [1081, [-1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 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.v', '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: 742106
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1470.2.a.u', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742107
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': True, 'target_label': '1470.2.a.v', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742108
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1470.2.i.u', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 742109
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1470.2.i.u', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742110
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1470.2.i.v', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 742111
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1470.2.i.v', 'target_level': 1470, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 742112
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '4410.2.a.bn', 'target_level': 4410, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 742113
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '4410.2.a.br', 'target_level': 4410, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742114
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 82, 'target_is_minimal': False, 'target_label': '7350.2.a.dd', 'target_level': 7350, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 742115
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1470.2.i.v', 'source_level': 1470, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 84, 'target_is_minimal': False, 'target_label': '7350.2.a.df', 'target_level': 7350, 'twist_class_label': '1470.2.a.u', 'twist_class_level': 1470, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1973550
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 2}
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id: 1973551
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 3}
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id: 1973552
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 5}
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id: 1973553
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94576141964150206, 'p': 7}
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id: 1973554
{'charpoly_factorization': [[[4, 8, 14, 4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 11}
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id: 1973555
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 94576141964150206, 'p': 13}
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id: 1973556
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 17}
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id: 1973557
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 19}
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id: 1973558
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 23}
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id: 1973559
{'charpoly_factorization': [[[-2, -8, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 29}
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id: 1973560
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 31}
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id: 1973561
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 37}
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id: 1973562
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 41}
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id: 1973563
{'charpoly_factorization': [[[34, -12, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 43}
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id: 1973564
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 47}
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id: 1973565
{'charpoly_factorization': [[[15376, -496, 140, 4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 53}
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id: 1973566
{'charpoly_factorization': [[[1296, -432, 180, 12, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 59}
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id: 1973567
{'charpoly_factorization': [[[16, 48, 140, 12, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 61}
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id: 1973568
{'charpoly_factorization': [[[8836, 376, 110, -4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 67}
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id: 1973569
{'charpoly_factorization': [[[56, -16, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 71}
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id: 1973570
{'charpoly_factorization': [[[784, 112, 44, -4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 73}
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id: 1973571
{'charpoly_factorization': [[[16384, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 79}
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id: 1973572
{'charpoly_factorization': [[[56, -16, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 83}
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id: 1973573
{'charpoly_factorization': [[[4624, 272, 84, -4, 1], 1]], 'hecke_orbit_code': 94576141964150206, 'p': 89}
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id: 1973574
{'charpoly_factorization': [[[28, 12, 1], 2]], 'hecke_orbit_code': 94576141964150206, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 22, 'label': '1470.2.i.v', '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: 253140000
{'hecke_orbit_code': 94576141964150206, 'n': 1, 'trace_an': 4}
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id: 253140001
{'hecke_orbit_code': 94576141964150206, 'n': 2, 'trace_an': -2}
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id: 253140002
{'hecke_orbit_code': 94576141964150206, 'n': 3, 'trace_an': 2}
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id: 253140003
{'hecke_orbit_code': 94576141964150206, 'n': 4, 'trace_an': -2}
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id: 253140004
{'hecke_orbit_code': 94576141964150206, 'n': 5, 'trace_an': 2}
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id: 253140005
{'hecke_orbit_code': 94576141964150206, 'n': 6, 'trace_an': -4}
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id: 253140006
{'hecke_orbit_code': 94576141964150206, 'n': 7, 'trace_an': 0}
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id: 253140007
{'hecke_orbit_code': 94576141964150206, 'n': 8, 'trace_an': 4}
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id: 253140008
{'hecke_orbit_code': 94576141964150206, 'n': 9, 'trace_an': -2}
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id: 253140009
{'hecke_orbit_code': 94576141964150206, 'n': 10, 'trace_an': 2}
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id: 253140010
{'hecke_orbit_code': 94576141964150206, 'n': 11, 'trace_an': -4}
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id: 253140011
{'hecke_orbit_code': 94576141964150206, 'n': 12, 'trace_an': 2}
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id: 253140012
{'hecke_orbit_code': 94576141964150206, 'n': 13, 'trace_an': 0}
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id: 253140013
{'hecke_orbit_code': 94576141964150206, 'n': 14, 'trace_an': 0}
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id: 253140014
{'hecke_orbit_code': 94576141964150206, 'n': 15, 'trace_an': 4}
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id: 253140015
{'hecke_orbit_code': 94576141964150206, 'n': 16, 'trace_an': -2}
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id: 253140016
{'hecke_orbit_code': 94576141964150206, 'n': 17, 'trace_an': 0}
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id: 253140017
{'hecke_orbit_code': 94576141964150206, 'n': 18, 'trace_an': -2}
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id: 253140018
{'hecke_orbit_code': 94576141964150206, 'n': 19, 'trace_an': 0}
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id: 253140019
{'hecke_orbit_code': 94576141964150206, 'n': 20, 'trace_an': -4}
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id: 253140020
{'hecke_orbit_code': 94576141964150206, 'n': 21, 'trace_an': 0}
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id: 253140021
{'hecke_orbit_code': 94576141964150206, 'n': 22, 'trace_an': 8}
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id: 253140022
{'hecke_orbit_code': 94576141964150206, 'n': 23, 'trace_an': -4}
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id: 253140023
{'hecke_orbit_code': 94576141964150206, 'n': 24, 'trace_an': 2}
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id: 253140024
{'hecke_orbit_code': 94576141964150206, 'n': 25, 'trace_an': -2}
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id: 253140025
{'hecke_orbit_code': 94576141964150206, 'n': 26, 'trace_an': 0}
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id: 253140026
{'hecke_orbit_code': 94576141964150206, 'n': 27, 'trace_an': -4}
-
id: 253140027
{'hecke_orbit_code': 94576141964150206, 'n': 28, 'trace_an': 0}
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id: 253140028
{'hecke_orbit_code': 94576141964150206, 'n': 29, 'trace_an': 16}
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id: 253140029
{'hecke_orbit_code': 94576141964150206, 'n': 30, 'trace_an': -2}
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id: 253140030
{'hecke_orbit_code': 94576141964150206, 'n': 31, 'trace_an': -4}
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id: 253140031
{'hecke_orbit_code': 94576141964150206, 'n': 32, 'trace_an': -2}
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id: 253140032
{'hecke_orbit_code': 94576141964150206, 'n': 33, 'trace_an': 4}
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id: 253140033
{'hecke_orbit_code': 94576141964150206, 'n': 34, 'trace_an': 0}
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id: 253140034
{'hecke_orbit_code': 94576141964150206, 'n': 35, 'trace_an': 0}
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id: 253140035
{'hecke_orbit_code': 94576141964150206, 'n': 36, 'trace_an': 4}
-
id: 253140036
{'hecke_orbit_code': 94576141964150206, 'n': 37, 'trace_an': 0}
-
id: 253140037
{'hecke_orbit_code': 94576141964150206, 'n': 38, 'trace_an': 0}
-
id: 253140038
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