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mf_newforms • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 112, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'cm_discs': [-7], 'conrey_index': 165, 'conrey_indexes': [165, 373, 557, 765], 'dim': 8, 'field_disc': 49787136, 'field_disc_factorization': [[2, 8], [3, 4], [7, 4]], 'field_poly': [16, 0, 12, 0, 5, 0, 3, 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': [[3, [0, 1]], [5, [0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36030377600484112, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, 2, 0, 1], [0, 0, 0, -3, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -2, -1, -3, 0, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -3, 0, -3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [5, 3, 0, 3, 0, 4, 1, -3], [0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 0, -4, 0, -1, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 0, 6, 0, -3], [0, 4, 4, -1, -1, -1, 0, 0], [0, 0, 0, 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0, 2, -31, -29, 0, -2, 2], [16, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 48, 0, 48, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -22, 22, -21, 21, -21, 0, 0], [8, 0, 0, 0, 0, 0, 16, 0], [-18, 0, 0, 0, 0, 0, -36, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-46, 0, 0, 0, 46, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 22, 0, 0, 0, -44], [0, 0, 0, 0, 0, 0, 0, 0]], 'char_orbit_index': 24, 'field_poly': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'hecke_orbit_code': 36030377600484112, 'hecke_ring_character_values': [[687, [1, 0, 0, 0, 0, 0, 0, 0]], [197, [0, 0, 0, 0, 0, 1, 0, 0]], [689, [0, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 20, 40, 20, 40, 5, 8], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 1, 0, 1, 0], [0, -1, 0, -1, 0, 2, 0, 1], [0, 0, 3, 0, 1, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 1], [-7, 0, 0, 0, 0, 0, -5, 0], [0, -7, 0, -10, 0, -10, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-12, 0, -5, 0, 5, 0, -1, 0], [0, -12, 0, -5, 0, 5, 0, -1], [36, 0, 15, 0, 5, 0, 3, 0], [0, -16, 0, 5, 0, -5, 0, -3], [-7, 0, 0, 0, 0, 0, -1, 0], [0, 12, 0, 5, 0, 3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '784.2.x.i', 'level': 784, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3136, 'analytic_conductor': 6.260271518468382, 'char_conductor': 112, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 24, 'char_orbit_label': 'x', 'char_order': 12, 'char_parity': 1, 'char_values': [784, 12, [687, 197, 689], [12, 3, 8]], 'conrey_index': 165, 'cusp_dim': 416, 'dim': 304, 'eis_dim': 64, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1580581520144, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 16, 16, 24, 24, 40, 48, 96], 'label': '784.2.x', 'level': 784, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 480, 'mf_new_dim': 336, 'num_forms': 16, 'prim_orbit_index': 23, 'relative_dim': 76, 'sturm_bound': 224, 'trace_bound': 5, 'trace_display': [2, 2, 2, 0], 'traces': [304, 2, 2, 6, 2, 8, 0, -4, 0, -4, 10, 2, 8, 0, -32, -18, 4, -44, 2, -8, 0, 16, 0, -18, 0, 2, 20, 0, -48, -34, -20, -8, 4, 32, 0, 80, 18, -18, 0, -50, 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-132, 0, 0, 468, -502, 266, 400, 112, 104, 0, -336, 50, -16, -184, -68, 0, 0, 0, 588, -150, -340, 4, 80, 0, -648, 92, 262, -480, -48, 84, 0, 0, -242, 0, -514, 118, 8, 0, -240, -840, 76, 4, 140, -620, 0, -352, -40, 0, -12, 0, 12, 0, 0, -140, 102, 188, 0, -176, 0, -908, 132, 82, -46, 0, 348], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 499572
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '784.2.m.f', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499573
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '784.2.m.f', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499574
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '784.2.m.f', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499575
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '784.2.m.f', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 499576
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 499577
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -7, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 499578
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 499579
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 499580
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 499581
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 499582
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 499583
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 24, 'source_dim': 8, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '784.2.x.i', 'source_level': 784, 'target_char_orbit': 24, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '784.2.x.i', 'target_level': 784, 'twist_class_label': '784.2.m.f', 'twist_class_level': 784, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1326575
{'charpoly_factorization': [[[16, 0, 12, 0, 5, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 36030377600484112, 'p': 2}
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id: 1326576
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 3}
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id: 1326577
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 5}
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id: 1326578
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 7}
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id: 1326579
{'charpoly_factorization': [[[1296, 1728, 1152, 2112, 1372, -352, 32, -8, 1], 1]], 'hecke_orbit_code': 36030377600484112, 'p': 11}
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id: 1326580
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 13}
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id: 1326581
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 17}
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id: 1326582
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 19}
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id: 1326583
{'charpoly_factorization': [[[784, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 36030377600484112, 'p': 23}
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id: 1326584
{'charpoly_factorization': [[[2916, -216, 8, 4, 1], 2]], 'hecke_orbit_code': 36030377600484112, 'p': 29}
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id: 1326585
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 31}
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id: 1326586
{'charpoly_factorization': [[[2085136, -658464, 103968, -67488, 9212, 1776, 72, 12, 1], 1]], 'hecke_orbit_code': 36030377600484112, 'p': 37}
-
id: 1326587
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 41}
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id: 1326588
{'charpoly_factorization': [[[3364, 1392, 288, 24, 1], 2]], 'hecke_orbit_code': 36030377600484112, 'p': 43}
-
id: 1326589
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 47}
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id: 1326590
{'charpoly_factorization': [[[1296, 4320, 7200, 25440, 42364, -4240, 200, -20, 1], 1]], 'hecke_orbit_code': 36030377600484112, 'p': 53}
-
id: 1326591
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 59}
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id: 1326592
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 61}
-
id: 1326593
{'charpoly_factorization': [[[193877776, -13144256, 445568, -252992, -5348, 2144, 32, 8, 1], 1]], 'hecke_orbit_code': 36030377600484112, 'p': 67}
-
id: 1326594
{'charpoly_factorization': [[[256, 0, 1], 4]], 'hecke_orbit_code': 36030377600484112, 'p': 71}
-
id: 1326595
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 73}
-
id: 1326596
{'charpoly_factorization': [[[63504, 0, 252, 0, 1], 2]], 'hecke_orbit_code': 36030377600484112, 'p': 79}
-
id: 1326597
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 83}
-
id: 1326598
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 89}
-
id: 1326599
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 36030377600484112, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 24, 'hecke_orbit': 9, 'label': '784.2.x.i', 'level': 784, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202627000
{'hecke_orbit_code': 36030377600484112, 'n': 1, 'trace_an': 8}
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id: 202627001
{'hecke_orbit_code': 36030377600484112, 'n': 2, 'trace_an': 0}
-
id: 202627002
{'hecke_orbit_code': 36030377600484112, 'n': 3, 'trace_an': 0}
-
id: 202627003
{'hecke_orbit_code': 36030377600484112, 'n': 4, 'trace_an': -6}
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id: 202627004
{'hecke_orbit_code': 36030377600484112, 'n': 5, 'trace_an': 0}
-
id: 202627005
{'hecke_orbit_code': 36030377600484112, 'n': 6, 'trace_an': 0}
-
id: 202627006
{'hecke_orbit_code': 36030377600484112, 'n': 7, 'trace_an': 0}
-
id: 202627007
{'hecke_orbit_code': 36030377600484112, 'n': 8, 'trace_an': 0}
-
id: 202627008
{'hecke_orbit_code': 36030377600484112, 'n': 9, 'trace_an': 0}
-
id: 202627009
{'hecke_orbit_code': 36030377600484112, 'n': 10, 'trace_an': 0}
-
id: 202627010
{'hecke_orbit_code': 36030377600484112, 'n': 11, 'trace_an': 8}
-
id: 202627011
{'hecke_orbit_code': 36030377600484112, 'n': 12, 'trace_an': 0}
-
id: 202627012
{'hecke_orbit_code': 36030377600484112, 'n': 13, 'trace_an': 0}
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id: 202627013
{'hecke_orbit_code': 36030377600484112, 'n': 14, 'trace_an': 0}
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id: 202627014
{'hecke_orbit_code': 36030377600484112, 'n': 15, 'trace_an': 0}
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id: 202627015
{'hecke_orbit_code': 36030377600484112, 'n': 16, 'trace_an': -2}
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id: 202627016
{'hecke_orbit_code': 36030377600484112, 'n': 17, 'trace_an': 0}
-
id: 202627017
{'hecke_orbit_code': 36030377600484112, 'n': 18, 'trace_an': 6}
-
id: 202627018
{'hecke_orbit_code': 36030377600484112, 'n': 19, 'trace_an': 0}
-
id: 202627019
{'hecke_orbit_code': 36030377600484112, 'n': 20, 'trace_an': 0}
-
id: 202627020
{'hecke_orbit_code': 36030377600484112, 'n': 21, 'trace_an': 0}
-
id: 202627021
{'hecke_orbit_code': 36030377600484112, 'n': 22, 'trace_an': 36}
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id: 202627022
{'hecke_orbit_code': 36030377600484112, 'n': 23, 'trace_an': 0}
-
id: 202627023
{'hecke_orbit_code': 36030377600484112, 'n': 24, 'trace_an': 0}
-
id: 202627024
{'hecke_orbit_code': 36030377600484112, 'n': 25, 'trace_an': 0}
-
id: 202627025
{'hecke_orbit_code': 36030377600484112, 'n': 26, 'trace_an': 0}
-
id: 202627026
{'hecke_orbit_code': 36030377600484112, 'n': 27, 'trace_an': 0}
-
id: 202627027
{'hecke_orbit_code': 36030377600484112, 'n': 28, 'trace_an': 0}
-
id: 202627028
{'hecke_orbit_code': 36030377600484112, 'n': 29, 'trace_an': -8}
-
id: 202627029
{'hecke_orbit_code': 36030377600484112, 'n': 30, 'trace_an': 0}
-
id: 202627030
{'hecke_orbit_code': 36030377600484112, 'n': 31, 'trace_an': 0}
-
id: 202627031
{'hecke_orbit_code': 36030377600484112, 'n': 32, 'trace_an': 0}
-
id: 202627032
{'hecke_orbit_code': 36030377600484112, 'n': 33, 'trace_an': 0}
-
id: 202627033
{'hecke_orbit_code': 36030377600484112, 'n': 34, 'trace_an': 0}
-
id: 202627034
{'hecke_orbit_code': 36030377600484112, 'n': 35, 'trace_an': 0}
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id: 202627998
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