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{'Nk2': 31768, 'analytic_conductor': 63.41718928530088, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, 1], [19, -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': [7942, 1, [5777, 6139], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 10940013094570649536077143829, 'field_disc_factorization': [[3, 20], [2267, 1], [1384016371157087, 1]], 'field_poly': [-3592, 18180, -20118, -19069, 39318, 1401, -26254, 4944, 8292, -2271, -1314, 408, 101, -33, -3, 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, [3592, 18180, 20118, -19069, -39318, 1401, 26254, 4944, -8292, -2271, 1314, 408, -101, -33, 3, 1]], [5, [2664, 45648, -23094, -149129, 62016, 125205, -51928, -40974, 18504, 5933, -3225, -303, 273, -9, -9, 1]], [13, [-17665057, -76711710, 11307324, 66705257, -6295374, -19409655, 1293419, 2688312, -106635, -194979, 3429, 7392, -37, -138, 0, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402087174, 'hecke_ring_generator_nbound': 13, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7942.2.a.by', 'level': 7942, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '418.2.j.d', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}+(1+\\beta _{8})q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7942.2.a', 'trace_display': [-15, -3, 9, 0], 'trace_hash': 1441941514956818259, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.248', 'prec': 17}, {'__RealLiteral__': 0, 'data': '13.119', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.504', 'prec': 17}, {'__RealLiteral__': 0, 'data': '528.049', 'prec': 24}, {'__RealLiteral__': 0, 'data': '512.655', 'prec': 24}, {'__RealLiteral__': 0, 'data': '33402.527', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [15, -15, -3, 15, 9, 3, 0, -15, 30, -9, -15, -3, 0, 0, -21, 15, 21, -30, 0, 9, 9, 15, 21, 3, 24, 0, -3, 0, 9, 21, -18, -15, 3, -21, 18, 30, 9, 0, 0, -9, -15, -9, 3, -15, 54, -21, 39, -3, 33, -24, -30, 0, -18, 3, -9, 0, 0, -9, -6, -21, -30, 18, 24, 15, -6, -3, -9, 21, 42, -18, 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mf_hecke_cc • Show schema
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-0.24522800793000996, -0.1676492834926707, -0.18515622385558722, -0.13695892707456803, -0.08535152485313802, -0.2602545371474224, -0.22789473481653663, -0.3612555395880613, -0.23260831470516416, -0.24531668723594025, -0.2674420748743998, -0.33411607256126713, -0.1838101338422942, -0.4548981435986602, -0.17651988453850362, -0.16594112004915632, -0.2513536132680978, -0.3120823177443787, -0.07359499493440096, -0.2639955929098773, -0.4129064000033886, -0.20843602828258306, -0.3000582795551073, -0.33054130289355543, -0.32668683704960155, -0.13832913501364688, -0.15878601852124924], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.1415718106288737, 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402087174, 'label': '7942.2.a.by.1.2', 'level': 7942, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [35, 37, 34, 37, 39, 32, 30, 41], 'Nk2': 31768, 'analytic_conductor': 63.41718928530088, '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': [7942, 1, [5777, 6139], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1101, 'dim': 285, 'eis_dim': 79, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 33562374, '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, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 16, 16], 'label': '7942.2.a', 'level': 7942, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'mf_dim': 1180, 'mf_new_dim': 285, 'num_forms': 56, 'plus_dim': 134, 'prim_orbit_index': 1, 'relative_dim': 285, 'sturm_bound': 2280, 'trace_bound': 7, 'trace_display': [-1, 0, -6, 8], 'traces': [285, -1, 0, 285, -6, -4, 8, -1, 281, -6, -1, 0, 2, 0, 16, 285, 14, 3, 0, -6, 16, 1, 20, -4, 287, -10, 0, 8, -6, -8, 4, -1, 0, -2, 8, 281, 14, 0, 56, -6, -2, 0, 20, -1, 18, -16, 28, 0, 285, 1, 32, 2, 14, 8, -6, 0, 0, -18, 8, 16, -6, 0, 48, 285, -12, -4, -8, 14, -16, 8, 12, 3, 14, 2, -32, 0, -8, 24, 16, -6, 309, -18, -4, 16, -52, 4, 56, 1, 26, 10, 16, 20, 8, 0, 0, -4, -38, 23, -13, 287, 50, 16, 36, -10, -24, -22, -28, 0, 18, 6, 0, 8, -14, 0, 0, -6, -30, 12, -24, -8, 285, 50, 40, 4, -12, -16, 24, -1, -8, -4, -4, 0, 0, 4, 48, -2, -22, 48, 52, 8, -88, 40, 14, 281, 20, -2, -32, 14, -6, 76, 48, 0, 6, 8, 40, 56, -6, 16, 16, -6, -72, 23, 44, -2, -16, -12, -56, 0, 339, 36, 0, 20, -94, 16, 120, -1, -32, 38, -32, 18, 6, 72, -16, -16, -28, 64, -2, 28, -40, 0, 76, 0, 6, 14, -40, 285, 42, -3, 84, 1, 64, -22, -48, 32, -28, 32, 84, 2, 0, 112, 28, 14, 64, -8, 16, 8, 16, -10, 32, -6, -20, 24, 44, 0, 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224, -66, 168, 355, -76, 14, -48, -50, -180, -40, -136, -4, 394, 64, 76, 0, -48, 190, -64, -78, 88, 0, 72, 56, -440, 138, 72, -8, 58, 64, 244, -18, 122, 32, 0, 62, 144, -108, 36, 46, -222, -24, -16, -16, 122, -88, -112, 8, -168, 28, 100, 56, -148, 0, 376, -40, -50, 146, 184, -64, 40, 96, -24, 16, 369, -100, -108, -10, 4, 96, 48, -1, 0, 164, 88, 80, -472, 104, 264, -6, -102, 128, 54, -30, -46, -52, 140, 0, -228, -128, 208, 0, 120, 78, 12, 0, -464, 56, -624, -80, 2, 20, -448, -108], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49044680
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402087174, 'source_is_minimal': False, 'source_label': '7942.2.a.by.1.2', 'source_level': 7942, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402087174, 'target_is_minimal': False, 'target_label': '7942.2.a.by.1.2', 'target_level': 7942, 'twist_class_label': '418.2.j.d.199.5', 'twist_class_level': 418, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49044681
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402087174, 'source_is_minimal': False, 'source_label': '7942.2.a.by.1.2', 'source_level': 7942, 'target_conrey_index': 199, 'target_dim': 30, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511417390956962, 'target_is_minimal': True, 'target_label': '418.2.j.d.199.5', 'target_level': 418, 'twist_class_label': '418.2.j.d.199.5', 'twist_class_level': 418, 'twisting_char_label': '19.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49044682
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402087174, 'source_is_minimal': False, 'source_label': '7942.2.a.by.1.2', 'source_level': 7942, 'target_conrey_index': 397, 'target_dim': 30, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511417390956962, 'target_is_minimal': True, 'target_label': '418.2.j.d.397.5', 'target_level': 418, 'twist_class_label': '418.2.j.d.199.5', 'twist_class_level': 418, 'twisting_char_label': '19.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 49044683
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 2, 'source_hecke_orbit_code': 225179981402087174, 'source_is_minimal': False, 'source_label': '7942.2.a.by.1.2', 'source_level': 7942, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 14, 'target_hecke_orbit_code': 234187180656828166, 'target_is_minimal': False, 'target_label': '7942.2.a.ca.1.14', 'target_level': 7942, 'twist_class_label': '418.2.j.d.199.5', 'twist_class_level': 418, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4616675
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 225179981402087174, 'p': 2}
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id: 4616676
{'charpoly_factorization': [[[3592, 18180, 20118, -19069, -39318, 1401, 26254, 4944, -8292, -2271, 1314, 408, -101, -33, 3, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 3}
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id: 4616677
{'charpoly_factorization': [[[2664, 45648, -23094, -149129, 62016, 125205, -51928, -40974, 18504, 5933, -3225, -303, 273, -9, -9, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 5}
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id: 4616678
{'charpoly_factorization': [[[1224, 12888, 42822, 37835, -61596, -112416, 7585, 77235, 8190, -18665, -840, 1734, 21, -69, 0, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 7}
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id: 4616679
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 225179981402087174, 'p': 11}
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id: 4616680
{'charpoly_factorization': [[[-17665057, -76711710, 11307324, 66705257, -6295374, -19409655, 1293419, 2688312, -106635, -194979, 3429, 7392, -37, -138, 0, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 13}
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id: 4616681
{'charpoly_factorization': [[[6578568, -53330220, 102031380, -13855661, -44811681, 13991025, 6421336, -2858685, -281739, 242162, -10161, -8610, 1074, 81, -21, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 17}
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id: 4616682
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 225179981402087174, 'p': 19}
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id: 4616683
{'charpoly_factorization': [[[-4112523, 1271898, 18485964, -13062214, -10976007, 8563824, 1854416, -1942452, -28068, 187543, -15786, -7368, 1113, 72, -21, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 23}
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id: 4616684
{'charpoly_factorization': [[[1094326677, 161330985, -942429204, -73726415, 302415444, 2390091, -44432931, 2217138, 2978043, -235773, -97383, 9267, 1517, -159, -9, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 29}
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id: 4616685
{'charpoly_factorization': [[[-3776833, -14786403, 64869630, 109101058, -103148082, -57050607, 46064842, 4186140, -4798446, -77669, 179661, 3252, -2958, -108, 18, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 31}
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id: 4616686
{'charpoly_factorization': [[[4518962856, -16273773324, 21374542998, -11249460809, 418754028, 1638708615, -408330662, -38658879, 21534009, -676530, -402207, 29109, 3171, -300, -9, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 37}
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id: 4616687
{'charpoly_factorization': [[[-15839064, 225827028, -214520400, -1217789865, -442585575, 327506022, 100195460, -26398674, -8470512, 643859, 304626, 4983, -3834, -195, 15, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 41}
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id: 4616688
{'charpoly_factorization': [[[-12044752147, -60909452001, -58267927038, 28777251426, 9292069002, -3240445152, -533362867, 160199994, 14354040, -4065956, -192837, 54801, 1240, -372, -3, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 43}
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id: 4616689
{'charpoly_factorization': [[[-949957443, 3295346031, -3637627677, 1079614446, 601620750, -443730363, 48332912, 28784160, -8397228, 14570, 274197, -33414, -1074, 510, -39, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 47}
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id: 4616690
{'charpoly_factorization': [[[-10857816, -90173700, -102505752, 90352691, 144376461, 7653933, -47809215, -18195402, 279588, 1194338, 159672, -12807, -3665, -102, 18, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 53}
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id: 4616691
{'charpoly_factorization': [[[-5414485176, -13717270296, -11258652834, -1385370927, 3015450819, 1750298364, 277590196, -51537384, -21532812, -1044337, 385122, 39975, -2541, -363, 6, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 59}
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id: 4616692
{'charpoly_factorization': [[[56455635693, 58589062893, -94087154514, -11684587910, 18982825281, 3358679412, -1059932399, -272447658, 13172598, 8043759, 366858, -80895, -8552, 0, 30, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 61}
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id: 4616693
{'charpoly_factorization': [[[2705369544, -66040486812, -95719152708, -39690357463, 2191966053, 5384129304, 1038829169, -84882111, -42464904, -1524044, 616041, 46146, -3861, -375, 9, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 67}
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id: 4616694
{'charpoly_factorization': [[[278304249061161, 266655300161454, 52070486918085, -12357544029920, -4440865721292, -44214881400, 91213060698, 4969969965, -841774929, -62962969, 3988824, 352581, -9493, -948, 9, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 71}
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id: 4616695
{'charpoly_factorization': [[[-255146083360152, 159290052885504, -13881479626974, -8677118436691, 1660731893844, 121380253002, -45098146853, 361350135, 549137790, -22069346, -3384921, 197436, 10248, -732, -12, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 73}
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id: 4616696
{'charpoly_factorization': [[[2234956168, -1153963680, -8255941482, 10584700343, -2636295282, -1164810729, 338849551, 57478059, -14851011, -1644122, 308292, 28077, -3087, -261, 12, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 79}
-
id: 4616697
{'charpoly_factorization': [[[-2418781653, -1152447057, 7490572281, 2053858249, -4518219960, -317552997, 844539944, -134652045, -21649758, 7046994, -290634, -70854, 7326, 36, -30, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 83}
-
id: 4616698
{'charpoly_factorization': [[[-110977169319, 571368995352, -773565210135, 97979760802, 160003116387, -32820165438, -7383273144, 1403814738, 134283693, -23784828, -1130736, 190941, 4340, -717, -6, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 89}
-
id: 4616699
{'charpoly_factorization': [[[7094932136549, -8488711081719, -3047205091167, 1336734356076, 220109717406, -75012852264, -6166613840, 1986261597, 77591988, -27090975, -444141, 195279, 944, -705, 0, 1], 1]], 'hecke_orbit_code': 225179981402087174, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '7942.2.a.by', 'level': 7942, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71609425
{'hecke_orbit_code': 225179981402087174, 'n': 1, 'trace_an': 15}
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id: 71609426
{'hecke_orbit_code': 225179981402087174, 'n': 2, 'trace_an': -15}
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id: 71609427
{'hecke_orbit_code': 225179981402087174, 'n': 3, 'trace_an': -3}
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id: 71609428
{'hecke_orbit_code': 225179981402087174, 'n': 4, 'trace_an': 15}
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id: 71609429
{'hecke_orbit_code': 225179981402087174, 'n': 5, 'trace_an': 9}
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id: 71609430
{'hecke_orbit_code': 225179981402087174, 'n': 6, 'trace_an': 3}
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id: 71609431
{'hecke_orbit_code': 225179981402087174, 'n': 7, 'trace_an': 0}
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id: 71609432
{'hecke_orbit_code': 225179981402087174, 'n': 8, 'trace_an': -15}
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id: 71609433
{'hecke_orbit_code': 225179981402087174, 'n': 9, 'trace_an': 30}
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id: 71609434
{'hecke_orbit_code': 225179981402087174, 'n': 10, 'trace_an': -9}
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