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mf_newforms • Show schema
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{'Nk2': 25200, 'analytic_conductor': 50.305753273406644, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [6300, 2, [3151, 2801, 3277, 3601], [2, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 6049, 'conrey_indexes': [6049], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [-1, 1]], [13, [4, 0, 1]], [17, [0, 1]], [41, [-8, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036683502033052, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6300.2.k.k', 'level': 6300, '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': '2100.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-iq^{7}+q^{11}+2iq^{13}-6q^{19}+iq^{23}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6300.2.k', 'trace_display': [0, 0, 0, 0], 'trace_hash': 920216318432085521, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.865', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.074', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.531', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -7], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, -14], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -10], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, -1], [1, 0], [0, 2], [0, 0], [-6, 0], [0, 1], [1, 0], [-2, 0], [0, -7], [8, 0], [0, 1], [0, 2], [0, -14], [10, 0], [0, 0], [0, -3], [9, 0], [0, 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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6300.2.k.k', 'level': 6300, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 25200, 'analytic_conductor': 50.305753273406644, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [6300, 2, [3151, 2801, 3277, 3601], [2, 2, 1, 2]], 'conrey_index': 6049, 'cusp_dim': 1368, 'dim': 44, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 41], 'hecke_orbit_code': 687228328092, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '6300.2.k', 'level': 6300, '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': 1512, 'mf_new_dim': 44, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 44, 'sturm_bound': 2880, 'trace_bound': 41, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1297533
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '2100.2.a.c', 'target_level': 2100, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1297534
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': True, 'target_label': '2100.2.a.p', 'target_level': 2100, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1297535
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2100.2.k.d', 'target_level': 2100, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1297536
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2100.2.k.d', 'target_level': 2100, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1297537
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6300.2.a.k', 'target_level': 6300, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1297538
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '6300.2.a.z', 'target_level': 6300, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1297539
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6300.2.k.k', 'target_level': 6300, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1297540
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6300.2.k.k', 'target_level': 6300, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1297541
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8400.2.a.h', 'target_level': 8400, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1297542
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '6300.2.k.k', 'source_level': 6300, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '8400.2.a.cp', 'target_level': 8400, 'twist_class_label': '2100.2.a.c', 'twist_class_level': 2100, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4146100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 2}
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id: 4146101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 3}
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id: 4146102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 5}
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id: 4146103
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 7}
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id: 4146104
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 11}
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id: 4146105
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 13}
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id: 4146106
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 17}
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id: 4146107
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 19}
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id: 4146108
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 23}
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id: 4146109
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 29}
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id: 4146110
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 31}
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id: 4146111
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 37}
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id: 4146112
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 41}
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id: 4146113
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 43}
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id: 4146114
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 47}
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id: 4146115
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 53}
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id: 4146116
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 59}
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id: 4146117
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 61}
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id: 4146118
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 67}
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id: 4146119
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 71}
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id: 4146120
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 73}
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id: 4146121
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 79}
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id: 4146122
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 83}
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id: 4146123
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 45036683502033052, 'p': 89}
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id: 4146124
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 45036683502033052, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 11, 'label': '6300.2.k.k', 'level': 6300, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 215365000
{'hecke_orbit_code': 45036683502033052, 'n': 1, 'trace_an': 2}
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id: 215365001
{'hecke_orbit_code': 45036683502033052, 'n': 2, 'trace_an': 0}
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id: 215365002
{'hecke_orbit_code': 45036683502033052, 'n': 3, 'trace_an': 0}
-
id: 215365003
{'hecke_orbit_code': 45036683502033052, 'n': 4, 'trace_an': 0}
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id: 215365004
{'hecke_orbit_code': 45036683502033052, 'n': 5, 'trace_an': 0}
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id: 215365005
{'hecke_orbit_code': 45036683502033052, 'n': 6, 'trace_an': 0}
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id: 215365006
{'hecke_orbit_code': 45036683502033052, 'n': 7, 'trace_an': 0}
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id: 215365007
{'hecke_orbit_code': 45036683502033052, 'n': 8, 'trace_an': 0}
-
id: 215365008
{'hecke_orbit_code': 45036683502033052, 'n': 9, 'trace_an': 0}
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id: 215365009
{'hecke_orbit_code': 45036683502033052, 'n': 10, 'trace_an': 0}
-
id: 215365010
{'hecke_orbit_code': 45036683502033052, 'n': 11, 'trace_an': 2}
-
id: 215365011
{'hecke_orbit_code': 45036683502033052, 'n': 12, 'trace_an': 0}
-
id: 215365012
{'hecke_orbit_code': 45036683502033052, 'n': 13, 'trace_an': 0}
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id: 215365013
{'hecke_orbit_code': 45036683502033052, 'n': 14, 'trace_an': 0}
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id: 215365014
{'hecke_orbit_code': 45036683502033052, 'n': 15, 'trace_an': 0}
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id: 215365015
{'hecke_orbit_code': 45036683502033052, 'n': 16, 'trace_an': 0}
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id: 215365016
{'hecke_orbit_code': 45036683502033052, 'n': 17, 'trace_an': 0}
-
id: 215365017
{'hecke_orbit_code': 45036683502033052, 'n': 18, 'trace_an': 0}
-
id: 215365018
{'hecke_orbit_code': 45036683502033052, 'n': 19, 'trace_an': -12}
-
id: 215365019
{'hecke_orbit_code': 45036683502033052, 'n': 20, 'trace_an': 0}
-
id: 215365020
{'hecke_orbit_code': 45036683502033052, 'n': 21, 'trace_an': 0}
-
id: 215365021
{'hecke_orbit_code': 45036683502033052, 'n': 22, 'trace_an': 0}
-
id: 215365022
{'hecke_orbit_code': 45036683502033052, 'n': 23, 'trace_an': 0}
-
id: 215365023
{'hecke_orbit_code': 45036683502033052, 'n': 24, 'trace_an': 0}
-
id: 215365024
{'hecke_orbit_code': 45036683502033052, 'n': 25, 'trace_an': 0}
-
id: 215365025
{'hecke_orbit_code': 45036683502033052, 'n': 26, 'trace_an': 0}
-
id: 215365026
{'hecke_orbit_code': 45036683502033052, 'n': 27, 'trace_an': 0}
-
id: 215365027
{'hecke_orbit_code': 45036683502033052, 'n': 28, 'trace_an': 0}
-
id: 215365028
{'hecke_orbit_code': 45036683502033052, 'n': 29, 'trace_an': 2}
-
id: 215365029
{'hecke_orbit_code': 45036683502033052, 'n': 30, 'trace_an': 0}
-
id: 215365030
{'hecke_orbit_code': 45036683502033052, 'n': 31, 'trace_an': -4}
-
id: 215365031
{'hecke_orbit_code': 45036683502033052, 'n': 32, 'trace_an': 0}
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