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mf_newforms • Show schema
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{'Nk2': 972, 'analytic_conductor': 4.330363134950477, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [27, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-18, 9, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599728033819, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '27.6.a.b', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.6.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-4-\\beta )q^{2}+(22+9\\beta )q^{4}+(-41+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.6.a', 'trace_display': [-9, 0, -72, -8], 'trace_hash': 1535997505786569011, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.583', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-4, -1], [0, 0], [22, 9], [-41, 10], [0, 0], [5, -18], [-302, -35], [0, 0], [-216, -9], [-277, 32], [0, 0], [-316, -72], [664, 85], [0, 0], [1834, 189], [-24, -168], [0, 0], [-1474, 108], [2518, -59], [0, 0], [-108, 117], [-2, 40], [0, 0], [2356, -720], [4000, 676], [0, 0], [-6046, -513], [-6034, -172], [0, 0], [-793, 522], [-4854, -1659], [0, 0], [6480, 864], [-7045, 608], [0, 0], [3962, 1080], [1792, 934], [0, 0], [-918, -1935], [-3878, 2068], [0, 0], [-382, 1548], [4850, -1501], [0, 0], [-1512, -198], [1034, -3184], [0, 0], [-4470, 144], [17936, 1244], [0, 0], [-31576, -5076], [-1179, -2178], [0, 0], [23517, -3762], [22430, 5891], [0, 0], [30672, 6894], [33124, 1072], [0, 0], [-26104, 2304], [-16664, -1817], [0, 0], [23770, 7101], [-14404, -928], [0, 0], [-18406, -5364], [-57984, -5424], [0, 0], [5076, 4005], [19560, 4728], [0, 0], [24905, -2592], [-56888, -9362], [0, 0], [4508, -9918], [-23273, 4570], [0, 0], [-24664, -288], [-3374, 12481], [0, 0], [-63072, -6462], [47867, 6560], [0, 0], [-62856, 4968], [-57296, -7358], [0, 0], [41094, -1089], [23046, -10236], [0, 0], [47668, 6624], [13636, 1222], [0, 0], [116856, 14886], [101474, -18088], [0, 0], [91823, -13680], [12408, 3750], [0, 0], [-194408, -1116]], 'ap': [[-4, -1], [0, 0], [-41, 10], [5, -18], [-277, 32], [-316, -72], [-24, -168], [-1474, 108], [-2, 40], [-6034, -172], [-793, 522], [3962, 1080], [-3878, 2068], [-382, 1548], [1034, -3184], [-1179, -2178], [33124, 1072], [-26104, 2304], [-18406, -5364], [19560, 4728], [24905, -2592], [-24664, -288], [47867, 6560], [23046, -10236], [91823, -13680], [-19207, 2630], [-29404, 13320], [79695, 5040], [73658, 14040], [-200390, 2836], [-24829, 13554], [-71561, -2480], [-175954, 19556], [-74044, 360], [-159785, -45110], [-159061, -30798], [-202420, -10224], [155252, -41040], [176998, 33760], [-396637, -10606], [371361, -63024], [-292912, 56160], [-219388, 84392], [-148267, 110736], [-423435, 28014], [-140461, 26514], [475334, 7596], [33080, 20880], [149852, -192496], [295118, -161424], [172218, 101820], [294010, -137624], [260294, -56016], [-692832, 17952], [554356, -40016], [-937882, 184664], [122598, -9324], [-560707, -242514], [340664, -56880], [334352, 92984], [2404466, -2988], [-1645310, -100004], [1219448, -156168], [-308690, -450056], [1022621, 319392], [-462295, 256358], [-1876846, -89604], [-2230246, 178128], [-2025515, -217472], [1458014, 111816], [3105014, 86012], [-3073026, 264048], [-315445, -607518], [-2662120, -54936], [-845476, 251208], [2747056, -166328], [-1892833, -387814], [45452, -319032], [3440860, 87880], [-1346905, -443520], [-144620, 669760], [-629320, 131472], [3650958, 77184], [4114829, 394416], [-3517825, 474858], [-2414356, -412672], [-1046850, 19884], [4936127, -444816], [-4923121, 402362], [7158689, -131994], [-232797, -667056], [-4291030, 947504], [-1121632, -797904], [2032033, 546544], [5158682, -741492], [3552042, -309048], [-8211971, -97106], [3457356, -649632], [549848, 395928], [-7703260, 111888], [1010048, -1570392], [-10459329, 305562], [1290661, -1362560], [372596, 1323944], [3124700, -1121328], [-1522186, 973296], [288539, 1329680], [5305626, 1082556], [534010, 1159408], [5732915, 379872], [-1589968, 1163088], [-3097618, -1417824], [-4283210, -358772], [1750100, 1299168], [-5900803, 1536030], [13791194, -568060], [2487860, 1173240], [7932816, -1126224], [-2433605, -980414], [-2923459, 872672], [7968086, 880776], [-1673203, 1487520], [-9731326, 1254572], [-4644156, 1910400], [-11843068, -375912], [2733813, -814338], [-12396532, 1590336], [-15612036, -757536], [20368085, -396162], [5951762, -1658520], [8337512, -2506680], [-12553604, 1333528], [-13806397, -804510], [-3762718, 594864], [8305312, 1263088], [9663281, 893520], [-3507738, 1677684], [-10966816, 3764160], [8445547, -1521038], [2379834, -3527172], [22223054, 602748], [18036830, -1156540], [-10407925, -3825054], [-24663552, -328704], [-8228158, 3919536], [6358352, -1984456], [-10795306, -1720944], [-12584152, 1667144], [-21534472, -1592640], [705060, -326016], [11213594, -580032], [12042228, 4108512], [3057518, 3345084], [-11992340, 2789608], [-11303338, -1333332], [870362, -543040], [-5017489, -2951478], [35182388, 1681448], [6769451, -3713904], [10246435, -129758], [11833781, -1119520], [-899940, 2532984], [-23313475, -2585970], [10210563, -1758240], [-15948050, -5317964], [12313802, 2213168], [-19443067, -1644786], [-11657236, 6645816]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 4503599728033819, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '27.6.a.b', 'level': 27, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'ALdims': [3, 4], 'Nk2': 972, 'analytic_conductor': 4.330363134950477, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [27, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 12, 'dim': 7, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663323, 'hecke_orbit_dims': [1, 2, 2, 2], 'label': '27.6.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 18, 'mf_new_dim': 7, 'num_forms': 4, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 7, 'sturm_bound': 18, 'trace_bound': 2, 'trace_display': [0, 0, 0, 107], 'traces': [7, 0, 0, 118, 0, 0, 107, 0, 0, -18, 0, 0, -2653, 0, 0, 6250, 0, 0, 185, 0, 0, -11430, 0, 0, 5521, 0, 0, -11110, 0, 0, -5452, 0, 0, 30240, 0, 0, 34349, 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-126201400, 0, 0, -206042400, 0, 0, -208910034, 0, 0, 198345132, 0, 0, 173765356, 0, 0, -52863601, 0, 0, 117384768, 0, 0, -2427886, 0, 0, 245814678], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 22047
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '27.6.a.b', 'target_level': 27, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 22048
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '27.6.a.d', 'target_level': 27, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 22049
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.6.c.d', 'target_level': 81, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 22050
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '81.6.c.h', 'target_level': 81, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 22051
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '432.6.a.k', 'target_level': 432, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 22052
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '432.6.a.v', 'target_level': 432, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 22053
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '675.6.a.f', 'target_level': 675, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 22054
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '27.6.a.b', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '675.6.a.n', 'target_level': 675, 'twist_class_label': '27.6.a.b', 'twist_class_level': 27, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
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mf_hecke_charpolys • Show schema
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id: 103100
{'charpoly_factorization': [[[-18, 9, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 2}
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id: 103101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599728033819, 'p': 3}
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id: 103102
{'charpoly_factorization': [[[-2529, 72, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 5}
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id: 103103
{'charpoly_factorization': [[[-12377, 8, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 7}
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id: 103104
{'charpoly_factorization': [[[28953, 522, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 11}
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id: 103105
{'charpoly_factorization': [[[-74384, 704, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 13}
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id: 103106
{'charpoly_factorization': [[[-1067904, 216, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 17}
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id: 103107
{'charpoly_factorization': [[[1570252, 2840, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 19}
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id: 103108
{'charpoly_factorization': [[[-60876, -36, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 23}
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id: 103109
{'charpoly_factorization': [[[36322812, 12240, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 29}
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id: 103110
{'charpoly_factorization': [[[-10139489, 1064, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 31}
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id: 103111
{'charpoly_factorization': [[[-24346796, -9004, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 37}
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id: 103112
{'charpoly_factorization': [[[-155492532, 5688, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 41}
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id: 103113
{'charpoly_factorization': [[[-91504964, -784, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 43}
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id: 103114
{'charpoly_factorization': [[[-387461628, 1116, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 47}
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id: 103115
{'charpoly_factorization': [[[-176302089, 4536, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 53}
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id: 103116
{'charpoly_factorization': [[[1089039312, -67320, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 59}
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id: 103117
{'charpoly_factorization': [[[419555392, 49904, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 61}
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id: 103118
{'charpoly_factorization': [[[-655844228, 42176, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 67}
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id: 103119
{'charpoly_factorization': [[[-374378112, -43848, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 71}
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id: 103120
{'charpoly_factorization': [[[300403633, -47218, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 73}
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id: 103121
{'charpoly_factorization': [[[612264256, 49616, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 79}
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id: 103122
{'charpoly_factorization': [[[969980409, -102294, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 83}
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id: 103123
{'charpoly_factorization': [[[-3686257188, -35856, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 89}
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id: 103124
{'charpoly_factorization': [[[63913489, -169966, 1], 1]], 'hecke_orbit_code': 4503599728033819, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '27.6.a.b', 'level': 27, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 19243254
{'hecke_orbit_code': 4503599728033819, 'n': 1, 'trace_an': 2}
-
id: 19243255
{'hecke_orbit_code': 4503599728033819, 'n': 2, 'trace_an': -9}
-
id: 19243256
{'hecke_orbit_code': 4503599728033819, 'n': 3, 'trace_an': 0}
-
id: 19243257
{'hecke_orbit_code': 4503599728033819, 'n': 4, 'trace_an': 53}
-
id: 19243258
{'hecke_orbit_code': 4503599728033819, 'n': 5, 'trace_an': -72}
-
id: 19243259
{'hecke_orbit_code': 4503599728033819, 'n': 6, 'trace_an': 0}
-
id: 19243260
{'hecke_orbit_code': 4503599728033819, 'n': 7, 'trace_an': -8}
-
id: 19243261
{'hecke_orbit_code': 4503599728033819, 'n': 8, 'trace_an': -639}
-
id: 19243262
{'hecke_orbit_code': 4503599728033819, 'n': 9, 'trace_an': 0}
-
id: 19243263
{'hecke_orbit_code': 4503599728033819, 'n': 10, 'trace_an': -441}
-
id: 19243264
{'hecke_orbit_code': 4503599728033819, 'n': 11, 'trace_an': -522}
-
id: 19243265
{'hecke_orbit_code': 4503599728033819, 'n': 12, 'trace_an': 0}
-
id: 19243266
{'hecke_orbit_code': 4503599728033819, 'n': 13, 'trace_an': -704}
-
id: 19243267
{'hecke_orbit_code': 4503599728033819, 'n': 14, 'trace_an': 1413}
-
id: 19243268
{'hecke_orbit_code': 4503599728033819, 'n': 15, 'trace_an': 0}
-
id: 19243269
{'hecke_orbit_code': 4503599728033819, 'n': 16, 'trace_an': 3857}
-
id: 19243270
{'hecke_orbit_code': 4503599728033819, 'n': 17, 'trace_an': -216}
-
id: 19243271
{'hecke_orbit_code': 4503599728033819, 'n': 18, 'trace_an': 0}
-
id: 19243272
{'hecke_orbit_code': 4503599728033819, 'n': 19, 'trace_an': -2840}
-
id: 19243273
{'hecke_orbit_code': 4503599728033819, 'n': 20, 'trace_an': 4977}
-
id: 19243274
{'hecke_orbit_code': 4503599728033819, 'n': 21, 'trace_an': 0}
-
id: 19243275
{'hecke_orbit_code': 4503599728033819, 'n': 22, 'trace_an': -99}
-
id: 19243276
{'hecke_orbit_code': 4503599728033819, 'n': 23, 'trace_an': 36}
-
id: 19243277
{'hecke_orbit_code': 4503599728033819, 'n': 24, 'trace_an': 0}
-
id: 19243278
{'hecke_orbit_code': 4503599728033819, 'n': 25, 'trace_an': 3992}
-
id: 19243279
{'hecke_orbit_code': 4503599728033819, 'n': 26, 'trace_an': 8676}
-
id: 19243280
{'hecke_orbit_code': 4503599728033819, 'n': 27, 'trace_an': 0}
-
id: 19243281
{'hecke_orbit_code': 4503599728033819, 'n': 28, 'trace_an': -12605}
-
id: 19243282
{'hecke_orbit_code': 4503599728033819, 'n': 29, 'trace_an': -12240}
-
id: 19243283
{'hecke_orbit_code': 4503599728033819, 'n': 30, 'trace_an': 0}
-
id: 19243284
{'hecke_orbit_code': 4503599728033819, 'n': 31, 'trace_an': -1064}
-
id: 19243285
{'hecke_orbit_code': 4503599728033819, 'n': 32, 'trace_an': -11367}
-
id: 19243286
{'hecke_orbit_code': 4503599728033819, 'n': 33, 'trace_an': 0}
-
id: 19243287
{'hecke_orbit_code': 4503599728033819, 'n': 34, 'trace_an': 13824}
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