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mf_newforms • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [418, 3, [343, 287], [3, 1]], 'cm_discs': [], 'conrey_index': 45, 'conrey_indexes': [45, 353], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, -2, 1]], [5, [9, -3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518273048314274, 'hecke_ring_generator_nbound': 2, '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, 19, 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': '418.2.e.f', 'level': 418, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.e.f', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}+(2-2\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '418.2.e', 'trace_display': [1, 2, 3, -2], 'trace_hash': 1873760320382706462, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.646', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '102.879', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [2, 1, 2, -1, 3, -2, -2, -2, -1, -3, 2, -4, 4, -1, -6, -1, 0, -2, -7, -6, -2, 1, 0, -2, -4, 8, 8, 1, 6, -12, -8, 1, 2, 0, -3, -1, -2, 1, 16, -3, 6, 2, 4, -1, -6, 0, -6, 2, -12, -8, 0, 4, -3, 4, 3, 2, 2, 12, 0, -6, 4, -4, 1, 2, 24, -2, 4, 0, 0, 3, 6, 1, -2, -1, -16, 8, -2, 8, -11, 3, 11, -6, -6, 4, 0, -4, 24, -2, 18, -3, -4, 0, -8, -12, 3, 4, 19, -6, -1, -4, 12, 0, -8, -4, 6, -6, -18, -4, 16, -3, -2, 1, -12, 16, 0, 6, 4, 0, 0, 6, 2, 8, -12, 4, 6, 2, 16, 1, -8, 12, 0, -4, 7, 8, 12, 0, 15, 0, -17, 6, -24, -6, 4, 2, 36, 2, -12, 1, -18, -8, -38, 7, 0, -1, -12, -8, -17, 11, -12, 6, 0, -11, -8, -12, -6, -3, -3, 2, -3, 0, 8, -8, 0, 12, 4, -1, 0, 36, -48, 3, -11, -8, 16, 0, -3, 8, 0, -6, -8, 24, -12, 2, -2, -19, 24, 6, -24, -2, 10, 4, 16, 24, -6, 0, -18, -4, 0, -8, -7, 12, 25, -3, -12, -9, -12, -8, 8, -16, 4, -6, 0, 2, 28, -1, -4, -6, 54, 14, -50, 0, -2, -6, 0, -4, -36, 0, 22, 0, -30, 12, -2, 1, -10, 4, -18, -24, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, -1], [2, -2], [0, -1], [3, -3], [0, -2], [-1, 0], [-1, 0], [0, -1], [0, -3], [1, 0], [-2, 0], [0, 4], [-1, 1], [0, -6], [-1, 1], [0, 0], [-1, 0], [-5, 3], [-3, 0], [-2, 2], [1, -1], [0, 0], [-2, 2], [0, -4], [4, 0], [4, 0], [0, 1], [0, 6], [-6, 0], [-4, 0], [0, 1], [2, -2], [0, 0], [-3, 3], [-1, 1], [-1, 0], [-2, 5], [8, 0], [-3, 3], [6, -6], [0, 2], [4, -4], [0, -1], [-3, 0], [0, 0], [0, -6], [0, 2], [-6, 0], [-4, 0], [0, 0], [4, -4], [0, -3], [4, -4], [3, -3], [1, 0], [-4, 10], [6, 0], [0, 0], [-6, 6], [0, 4], [-4, 4], [0, 1], [1, 0], [12, 0], [0, -2], [0, 4], [0, 0], [0, 0], [0, 3], [6, -6], [0, 1], [-2, 2], [-1, 1], [-8, 0], [3, 2], [-1, 0], [8, -8], [-11, 11], [0, 3], [11, -11], [0, -6], [-3, 0], [2, 0], [0, 0], [0, -4], [12, 0], [-1, 0], [0, 18], [-3, 3], [0, -4], [0, 0], [-8, 8], [-6, 0], [-6, 15], [2, 0], [19, -19], [-6, 6], [0, -1], [-4, 4]], 'ap': [[1, -1], [2, -2], [3, -3], [-1, 0], [1, 0], [0, 4], [0, 0], [-5, 3], [0, 0], [0, 6], [-4, 0], [-1, 0], [6, -6], [4, -4], [0, -6], [0, -3], [0, 0], [0, 4], [0, 4], [6, -6], [-2, 2], [-11, 11], [-3, 0], [0, 18], [19, -19], [0, 12], [-4, 0], [-9, 0], [16, -16], [-6, 0], [0, 16], [0, 0], [0, 15], [0, -17], [-18, 18], [-19, 0], [-17, 17], [-4, 0], [0, -3], [0, 0], [-24, 0], [0, -11], [-6, 0], [-2, 2], [-12, 0], [0, 10], [25, -25], [28, -28], [27, 0], [-25, 0], [0, 0], [-15, 0], [0, -2], [0, -24], [0, 9], [-27, 27], [-3, 3], [7, -7], [-28, 0], [0, 0], [13, -13], [30, 0], [-11, 11], [-18, 0], [0, 1], [0, 18], [-16, 0], [16, -16], [-3, 3], [-22, 0], [27, 0], [3, -3], [0, 28], [32, 0], [32, 0], [-24, 24], [0, -9], [-5, 5], [30, -30], [0, 4], [18, 0], [-17, 17], [0, -15], [0, -14], [-35, 35], [0, 12], [-9, 0], [-22, 0], [6, -6], [-4, 0], [30, 0], [0, 24], [2, 0], [9, -9], [4, -4], [0, 0], [0, 9], [33, 0], [0, 1], [0, -38], [0, 19], [0, -12], [9, 0], [-36, 0], [-19, 0], [-7, 0], [0, 0], [0, -36], [0, -36], [2, 0], [8, 0], [16, -16], [0, -33], [-28, 0], [0, 16], [33, -33], [-14, 14], [6, 0], [-6, 0], [0, -15], [0, -41], [-10, 0], [-18, 0], [42, 0], [-28, 0], [-24, 24], [0, 25], [36, -36], [-50, 50], [-4, 0], [52, -52], [21, -21], [0, -26], [22, -22], [30, 0], [0, 10], [0, -6], [-31, 0], [33, 0], [-12, 0], [0, 43], [0, -24], [0, -14], [0, 12], [-10, 0], [36, -36], [-26, 26], [-48, 48], [0, -2], [6, 0], [-20, 20], [18, 0], [0, -14], [0, 33], [10, -10], [42, 0], [23, 0], [-30, 30], [0, -50], [0, 0], [54, -54], [-36, 36], [7, -7], [30, -30], [57, 0], [42, -42], [-38, 38], [0, -44]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 22518273048314274, 'hecke_ring_character_values': [[343, [1, 0]], [287, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '418.2.e.f', 'level': 418, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1672, 'analytic_conductor': 3.33774680448952, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [418, 3, [343, 287], [3, 1]], 'conrey_index': 45, 'cusp_dim': 112, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 274911461794, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6], 'label': '418.2.e', 'level': 418, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 128, 'mf_new_dim': 28, 'num_forms': 9, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 120, 'trace_bound': 5, 'trace_display': [0, 4, 0, 16], 'traces': [28, 0, 4, -14, 0, 0, 16, 0, -6, 0, 0, -8, -8, 8, -20, -14, -16, -32, -28, 0, 12, 2, -16, 0, -6, 4, -8, -8, 0, 16, 24, 0, 4, 4, -28, -6, 16, 8, -32, 0, 28, 8, -8, 0, 24, 8, 46, 4, 36, 32, -4, 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-12, 96, 20, 240, -34, 24, 32, -284, 92, -96, 36, -88, 0, -64, -20, -148, 168, 108, -8, -284, 0, 140, 0, -272, 48, 124, -24, 72, -112, -32, 56, -300, -56, -48, 64, 256, 80, -94, -48, 36, 92, -56, -16, 80, -24, -106, -4, -200, -72, 104, -104, -240, 40, 56, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 308674
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '418.2.e.f', 'source_level': 418, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '418.2.e.f', 'target_level': 418, 'twist_class_label': '418.2.e.f', 'twist_class_level': 418, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 308675
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '418.2.e.f', 'source_level': 418, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '418.2.e.f', 'target_level': 418, 'twist_class_label': '418.2.e.f', 'twist_class_level': 418, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308676
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '418.2.e.f', 'source_level': 418, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7942.2.a.b', 'target_level': 7942, 'twist_class_label': '418.2.e.f', 'twist_class_level': 418, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 308677
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '418.2.e.f', 'source_level': 418, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '7942.2.a.r', 'target_level': 7942, 'twist_class_label': '418.2.e.f', 'twist_class_level': 418, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 860275
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 2}
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id: 860276
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 3}
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id: 860277
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 5}
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id: 860278
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 7}
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id: 860279
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 11}
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id: 860280
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 13}
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id: 860281
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 17}
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id: 860282
{'charpoly_factorization': [[[19, 7, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 19}
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id: 860283
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 23}
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id: 860284
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 29}
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id: 860285
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 31}
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id: 860286
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 37}
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id: 860287
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 41}
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id: 860288
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 43}
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id: 860289
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 47}
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id: 860290
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 53}
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id: 860291
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 59}
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id: 860292
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 61}
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id: 860293
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 67}
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id: 860294
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 71}
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id: 860295
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 73}
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id: 860296
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 79}
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id: 860297
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 22518273048314274, 'p': 83}
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id: 860298
{'charpoly_factorization': [[[324, -18, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 89}
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id: 860299
{'charpoly_factorization': [[[361, -19, 1], 1]], 'hecke_orbit_code': 22518273048314274, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 6, 'label': '418.2.e.f', 'level': 418, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 171781000
{'hecke_orbit_code': 22518273048314274, 'n': 1, 'trace_an': 2}
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id: 171781001
{'hecke_orbit_code': 22518273048314274, 'n': 2, 'trace_an': 1}
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id: 171781002
{'hecke_orbit_code': 22518273048314274, 'n': 3, 'trace_an': 2}
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id: 171781003
{'hecke_orbit_code': 22518273048314274, 'n': 4, 'trace_an': -1}
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id: 171781004
{'hecke_orbit_code': 22518273048314274, 'n': 5, 'trace_an': 3}
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id: 171781005
{'hecke_orbit_code': 22518273048314274, 'n': 6, 'trace_an': -2}
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id: 171781006
{'hecke_orbit_code': 22518273048314274, 'n': 7, 'trace_an': -2}
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id: 171781007
{'hecke_orbit_code': 22518273048314274, 'n': 8, 'trace_an': -2}
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id: 171781008
{'hecke_orbit_code': 22518273048314274, 'n': 9, 'trace_an': -1}
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id: 171781009
{'hecke_orbit_code': 22518273048314274, 'n': 10, 'trace_an': -3}
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id: 171781010
{'hecke_orbit_code': 22518273048314274, 'n': 11, 'trace_an': 2}
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id: 171781011
{'hecke_orbit_code': 22518273048314274, 'n': 12, 'trace_an': -4}
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id: 171781012
{'hecke_orbit_code': 22518273048314274, 'n': 13, 'trace_an': 4}
-
id: 171781013
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id: 171781991
{'hecke_orbit_code': 22518273048314274, 'n': 992, 'trace_an': -4}
-
id: 171781992
{'hecke_orbit_code': 22518273048314274, 'n': 993, 'trace_an': -32}
-
id: 171781993
{'hecke_orbit_code': 22518273048314274, 'n': 994, 'trace_an': 6}
-
id: 171781994
{'hecke_orbit_code': 22518273048314274, 'n': 995, 'trace_an': 60}
-
id: 171781995
{'hecke_orbit_code': 22518273048314274, 'n': 996, 'trace_an': 12}
-
id: 171781996
{'hecke_orbit_code': 22518273048314274, 'n': 997, 'trace_an': -44}
-
id: 171781997
{'hecke_orbit_code': 22518273048314274, 'n': 998, 'trace_an': -4}
-
id: 171781998
{'hecke_orbit_code': 22518273048314274, 'n': 999, 'trace_an': -8}
-
id: 171781999
{'hecke_orbit_code': 22518273048314274, 'n': 1000, 'trace_an': -6}