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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [23, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 15, 'field_disc': 4302807260706586125368809, 'field_disc_factorization': [[11, 12], [23, 1], [131, 1], [373, 1], [991, 1], [1231, 1]], 'field_poly': [-419, -3136, -1825, 9480, 5297, -11506, -4292, 6777, 1596, -2111, -302, 354, 28, -30, -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': [[3, [419, -3136, 1825, 9480, -5297, -11506, 4292, 6777, -1596, -2111, 302, 354, -28, -30, 1, 1]], [5, [-67, 2980, -33326, 38251, 65417, -88494, -25471, 42969, 4085, -9000, -296, 945, 8, -49, 0, 1]], [7, [-175571, 318835, 408980, -833811, -43923, 528473, -106634, -133067, 42900, 14355, -6368, -503, 415, -15, -10, 1]], [13, [871309, 2995020, 2703273, -1681157, -4086815, -1640720, 694462, 541604, -29081, -66033, -673, 3915, 28, -104, 0, 1]]], 'hecke_orbit': 60, 'hecke_orbit_code': 265712378048422160, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8464.2.a.ch', 'level': 8464, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '184.2.i.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(-\\beta _{1}-\\beta _{5}-\\beta _{10})q^{5}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, -1, 0, 10], 'trace_hash': 2116113995938136382, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.241', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.128', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.516', 'prec': 17}, {'__RealLiteral__': 0, 'data': '430.423', 'prec': 24}, {'__RealLiteral__': 0, 'data': '466.088', 'prec': 24}, {'__RealLiteral__': 0, 'data': '24130.272', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [15, 0, -1, 0, 0, 0, 10, 0, 16, 0, 23, 0, 0, 0, 10, 0, 0, 0, 29, 0, -1, 0, 0, 0, 23, 0, -1, 0, -2, 0, -20, 0, -18, 0, 18, 0, -24, 0, 19, 0, 9, 0, 48, 0, -4, 0, 36, 0, 25, 0, 35, 0, 5, 0, 10, 0, -23, 0, 22, 0, -12, 0, 35, 0, 26, 0, 58, 0, 0, 0, -2, 0, 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mf_hecke_nf • Show schema
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{'AL_dims': [[[[2, -1], [23, 1]], 61, 11], [[[2, -1], [23, -1]], 55, 23], [[[2, 1], [23, 1]], 60, 7], [[[2, 1], [23, -1]], 66, 21]], 'ALdims': [60, 66, 61, 55], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, '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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 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mf_twists_nf • Show schema
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id: 1393108
{'conductor': 92, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 9, 'target_dim': 30, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '184.2.i.b', 'target_level': 184, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '92.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1393109
{'conductor': 23, 'degree': 10, 'multiplicity': 2, 'order': 22, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 13, 'target_dim': 30, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '368.2.m.e', 'target_level': 368, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '23.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1393110
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4232.2.a.ba', 'target_level': 4232, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393111
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4232.2.a.bb', 'target_level': 4232, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393112
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 59, 'target_is_minimal': False, 'target_label': '8464.2.a.cg', 'target_level': 8464, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1393113
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 15, 'source_hecke_orbit': 60, 'source_is_minimal': False, 'source_label': '8464.2.a.ch', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '8464.2.a.ch', 'target_level': 8464, 'twist_class_label': '184.2.i.b', 'twist_class_level': 184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4762225
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 265712378048422160, 'p': 2}
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id: 4762226
{'charpoly_factorization': [[[419, -3136, 1825, 9480, -5297, -11506, 4292, 6777, -1596, -2111, 302, 354, -28, -30, 1, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 3}
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id: 4762227
{'charpoly_factorization': [[[-67, 2980, -33326, 38251, 65417, -88494, -25471, 42969, 4085, -9000, -296, 945, 8, -49, 0, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 5}
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id: 4762228
{'charpoly_factorization': [[[-175571, 318835, 408980, -833811, -43923, 528473, -106634, -133067, 42900, 14355, -6368, -503, 415, -15, -10, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 7}
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id: 4762229
{'charpoly_factorization': [[[-3257, 29089, -65223, -48290, 285756, -239554, -46532, 134223, -37335, -17084, 10705, -942, -606, 195, -23, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 11}
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id: 4762230
{'charpoly_factorization': [[[871309, 2995020, 2703273, -1681157, -4086815, -1640720, 694462, 541604, -29081, -66033, -673, 3915, 28, -104, 0, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 13}
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id: 4762231
{'charpoly_factorization': [[[-4570369, 14925668, -10372776, -7438643, 10162549, -952118, -2309763, 605877, 213247, -79682, -8488, 4473, 116, -111, 0, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 17}
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id: 4762232
{'charpoly_factorization': [[[11296, 95488, -296904, -1119412, 1369462, 1573319, -3129497, 1719719, -245861, -115868, 51621, -5293, -964, 301, -29, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 19}
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id: 4762233
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 265712378048422160, 'p': 23}
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id: 4762234
{'charpoly_factorization': [[[-362817731, 4922520287, -4340757958, -2008198118, 2792662336, -512984793, -175288593, 52420116, 3773997, -1877258, -22478, 32806, -193, -286, 2, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 29}
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id: 4762235
{'charpoly_factorization': [[[68503394189, 18758584296, -24724555194, -8530445102, 2709150944, 1296486011, -57510907, -80829853, -5738725, 1952717, 276144, -14218, -4123, -81, 20, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 31}
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id: 4762236
{'charpoly_factorization': [[[4028177, -257810142, -1141303916, -268406472, 669404405, 298804183, -51067066, -40831690, -1767864, 1691612, 196042, -22258, -4202, -15, 24, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 37}
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id: 4762237
{'charpoly_factorization': [[[14398188331, 28615624512, -21443516549, -14571443137, 8659178548, 629034580, -752453978, 24337608, 26351267, -1883645, -431305, 39277, 3239, -333, -9, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 41}
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id: 4762238
{'charpoly_factorization': [[[-71260463, 36514964, 686404216, -877079629, 74087931, 385314786, -239087787, 51483603, 1522765, -2711250, 444586, -5651, -6646, 881, -48, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 43}
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id: 4762239
{'charpoly_factorization': [[[4016448512, -9781983232, -3782416192, 9768081296, -826208356, -2418870023, 835095883, -5772741, -37590754, 5258631, 206655, -95786, 5536, 254, -36, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 47}
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id: 4762240
{'charpoly_factorization': [[[-137376723859, -451442007867, -270284799658, 158382553554, 45562589413, -13838905343, -2457645460, 540829644, 57458493, -10815521, -621675, 110956, 2971, -543, -5, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 53}
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id: 4762241
{'charpoly_factorization': [[[-17476247953, 26633950932, -2549325241, -8646197913, 1698502566, 1075806532, -218816331, -59688781, 12886023, 1427697, -373432, -8765, 4822, -103, -22, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 59}
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id: 4762242
{'charpoly_factorization': [[[13648427511181, 9704491040420, 474014120738, -994615240775, -177796025955, 29775898986, 8839038561, -150234071, -175943793, -5859342, 1642386, 94395, -7204, -521, 12, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 61}
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id: 4762243
{'charpoly_factorization': [[[32183473849, -7521664493, -20094305615, 7217772565, 3323229868, -1688974575, -108439960, 148411685, -13871267, -4287889, 940639, -24523, -10164, 1244, -58, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 67}
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id: 4762244
{'charpoly_factorization': [[[-430038223, 2983613936, -4641424570, 1443280726, 1290474784, -635885215, -102900125, 67696981, 2638227, -2850131, -6688, 51720, -403, -391, 2, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 71}
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id: 4762245
{'charpoly_factorization': [[[-153653405267, -1414576318935, 1695960956792, 1033568298136, -8816840837, -61452927789, -2423625000, 1597731550, 66539083, -22294687, -687229, 169890, 3085, -657, -5, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 73}
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id: 4762246
{'charpoly_factorization': [[[4831892800571, -12190009218720, 8543333217950, -1693556711096, -309950839776, 136594677065, -4679259291, -2897036537, 280696691, 20383215, -3476680, -2532, 16463, -425, -26, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 79}
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id: 4762247
{'charpoly_factorization': [[[387804979937, -1415880953733, 1554624204293, -704139774633, 89571201803, 38674087529, -17528287613, 2682144881, -67623944, -33443138, 4569290, -157182, -14593, 1713, -68, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 83}
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id: 4762248
{'charpoly_factorization': [[[-15846191483, 58407922096, -60659678080, 11753848652, 10735993153, -3609866693, -631143220, 238219780, 19162286, -6612624, -318712, 85888, 2446, -505, -6, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 89}
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id: 4762249
{'charpoly_factorization': [[[107540873749, -119728101063, -46580156372, 60810147613, 12090229459, -9975372163, -2650723686, 424036351, 228443312, 27550775, 112794, -223251, -14479, 143, 40, 1], 1]], 'hecke_orbit_code': 265712378048422160, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 60, 'label': '8464.2.a.ch', 'level': 8464, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279353000
{'hecke_orbit_code': 265712378048422160, 'n': 1, 'trace_an': 15}
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id: 279353001
{'hecke_orbit_code': 265712378048422160, 'n': 2, 'trace_an': 0}
-
id: 279353002
{'hecke_orbit_code': 265712378048422160, 'n': 3, 'trace_an': -1}
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id: 279353003
{'hecke_orbit_code': 265712378048422160, 'n': 4, 'trace_an': 0}
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id: 279353004
{'hecke_orbit_code': 265712378048422160, 'n': 5, 'trace_an': 0}
-
id: 279353005
{'hecke_orbit_code': 265712378048422160, 'n': 6, 'trace_an': 0}
-
id: 279353006
{'hecke_orbit_code': 265712378048422160, 'n': 7, 'trace_an': 10}
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id: 279353007
{'hecke_orbit_code': 265712378048422160, 'n': 8, 'trace_an': 0}
-
id: 279353008
{'hecke_orbit_code': 265712378048422160, 'n': 9, 'trace_an': 16}
-
id: 279353009
{'hecke_orbit_code': 265712378048422160, 'n': 10, 'trace_an': 0}
-
id: 279353010
{'hecke_orbit_code': 265712378048422160, 'n': 11, 'trace_an': 23}
-
id: 279353011
{'hecke_orbit_code': 265712378048422160, 'n': 12, 'trace_an': 0}
-
id: 279353012
{'hecke_orbit_code': 265712378048422160, 'n': 13, 'trace_an': 0}
-
id: 279353013
{'hecke_orbit_code': 265712378048422160, 'n': 14, 'trace_an': 0}
-
id: 279353014
{'hecke_orbit_code': 265712378048422160, 'n': 15, 'trace_an': 10}
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id: 279353015
{'hecke_orbit_code': 265712378048422160, 'n': 16, 'trace_an': 0}
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id: 279353016
{'hecke_orbit_code': 265712378048422160, 'n': 17, 'trace_an': 0}
-
id: 279353017
{'hecke_orbit_code': 265712378048422160, 'n': 18, 'trace_an': 0}
-
id: 279353018
{'hecke_orbit_code': 265712378048422160, 'n': 19, 'trace_an': 29}
-
id: 279353019
{'hecke_orbit_code': 265712378048422160, 'n': 20, 'trace_an': 0}
-
id: 279353020
{'hecke_orbit_code': 265712378048422160, 'n': 21, 'trace_an': -1}
-
id: 279353021
{'hecke_orbit_code': 265712378048422160, 'n': 22, 'trace_an': 0}
-
id: 279353022
{'hecke_orbit_code': 265712378048422160, 'n': 23, 'trace_an': 0}
-
id: 279353023
{'hecke_orbit_code': 265712378048422160, 'n': 24, 'trace_an': 0}
-
id: 279353024
{'hecke_orbit_code': 265712378048422160, 'n': 25, 'trace_an': 23}
-
id: 279353025
{'hecke_orbit_code': 265712378048422160, 'n': 26, 'trace_an': 0}
-
id: 279353026
{'hecke_orbit_code': 265712378048422160, 'n': 27, 'trace_an': -1}
-
id: 279353027
{'hecke_orbit_code': 265712378048422160, 'n': 28, 'trace_an': 0}
-
id: 279353028
{'hecke_orbit_code': 265712378048422160, 'n': 29, 'trace_an': -2}
-
id: 279353029
{'hecke_orbit_code': 265712378048422160, 'n': 30, 'trace_an': 0}
-
id: 279353030
{'hecke_orbit_code': 265712378048422160, 'n': 31, 'trace_an': -20}
-
id: 279353031
{'hecke_orbit_code': 265712378048422160, 'n': 32, 'trace_an': 0}
-
id: 279353032
{'hecke_orbit_code': 265712378048422160, 'n': 33, 'trace_an': -18}
-
id: 279353033
{'hecke_orbit_code': 265712378048422160, 'n': 34, 'trace_an': 0}
-
id: 279353034
{'hecke_orbit_code': 265712378048422160, 'n': 35, 'trace_an': 18}
-
id: 279353035
{'hecke_orbit_code': 265712378048422160, 'n': 36, 'trace_an': 0}
-
id: 279353036
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