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mf_newforms • Show schema
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{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 46, 'char_orbit_label': 'bt', 'char_order': 9, 'char_parity': 1, 'char_values': [1332, 9, [667, 1037, 1297], [9, 9, 2]], 'cm_discs': [], 'conrey_index': 145, 'dim': 12, 'field_disc': 113390616141009, 'field_disc_factorization': [[3, 18], [541, 2]], 'field_poly': [9, 27, 117, -66, 180, -78, 151, -72, 69, -14, 9, 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': [[5, [9, -54, 63, 102, 90, 51, 70, 21, 9, 20, 12, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506692037379380, '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, 37, 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mf_hecke_cc • Show schema
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-0.2773831124193582], 'char_orbit_index': 46, 'conrey_index': 145, 'dual_conrey_index': 937, 'dual_embedding_index': 1, 'dual_embedding_m': 7, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.22599675670627944, 'embedding_root_real': -0.1304792883203528, 'hecke_orbit': 2, 'hecke_orbit_code': 4506692037379380, 'label': '1332.2.bt.b.145.1', 'level': 1332, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'char_conductor': 37, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 46, 'char_orbit_label': 'bt', 'char_order': 9, 'char_parity': 1, 'char_values': [1332, 9, [667, 1037, 1297], [9, 9, 2]], 'conrey_index': 145, 'cusp_dim': 1296, 'dim': 96, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 3092410008884, 'hecke_orbit_dims': [6, 12, 18, 24, 36], 'label': '1332.2.bt', 'level': 1332, '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, 3, 37], 'level_radical': 222, 'mf_dim': 1440, 'mf_new_dim': 96, 'num_forms': 5, 'prim_orbit_index': 6, 'relative_dim': 16, 'sturm_bound': 456, 'trace_bound': 1, 'trace_display': [0, 0, -3, -3], 'traces': [96, 0, 0, 0, -3, 0, -3, 0, 0, 0, 6, 0, -3, 0, 0, 0, -3, 0, -12, 0, 0, 0, -18, 0, -27, 0, 0, 0, -3, 0, 0, 0, 0, 0, -6, 0, 30, 0, 0, 0, -48, 0, 24, 0, 0, 0, -3, 0, -39, 0, 0, 0, 15, 0, -9, 0, 0, 0, 18, 0, -12, 0, 0, 0, 30, 0, 36, 0, 0, 0, 3, 0, 30, 0, 0, 0, -6, 0, 66, 0, 0, 0, -18, 0, 15, 0, 0, 0, -6, 0, 3, 0, 0, 0, 75, 0, 18, 0, 0, 0, 60, 0, 39, 0, 0, 0, 69, 0, 0, 0, 0, 0, 18, 0, 33, 0, 0, 0, -18, 0, -42, 0, 0, 0, 66, 0, -12, 0, 0, 0, 60, 0, -51, 0, 0, 0, 42, 0, 39, 0, 0, 0, 21, 0, 81, 0, 0, 0, -96, 0, -9, 0, 0, 0, -3, 0, -6, 0, 0, 0, -30, 0, 6, 0, 0, 0, 87, 0, -39, 0, 0, 0, 39, 0, -3, 0, 0, 0, -144, 0, -99, 0, 0, 0, -60, 0, 21, 0, 0, 0, 102, 0, -90, 0, 0, 0, -12, 0, -111, 0, 0, 0, -108, 0, -159, 0, 0, 0, -66, 0, -96, 0, 0, 0, -99, 0, -15, 0, 0, 0, -246, 0, 30, 0, 0, 0, -150, 0, 24, 0, 0, 0, -33, 0, 138, 0, 0, 0, 39, 0, -93, 0, 0, 0, -96, 0, -18, 0, 0, 0, 30, 0, 120, 0, 0, 0, -27, 0, -24, 0, 0, 0, -228, 0, 0, 0, 0, 0, 30, 0, 48, 0, 0, 0, 162, 0, 63, 0, 0, 0, 93, 0, -24, 0, 0, 0, -57, 0, -33, 0, 0, 0, -153, 0, 6, 0, 0, 0, 72, 0, 69, 0, 0, 0, 132, 0, 3, 0, 0, 0, 153, 0, -162, 0, 0, 0, 183, 0, 30, 0, 0, 0, 12, 0, -66, 0, 0, 0, 45, 0, -18, 0, 0, 0, 36, 0, 204, 0, 0, 0, -33, 0, 48, 0, 0, 0, 213, 0, -219, 0, 0, 0, 225, 0, 54, 0, 0, 0, 63, 0, -12, 0, 0, 0, 108, 0, -36, 0, 0, 0, -204, 0, 126, 0, 0, 0, -57, 0, -192, 0, 0, 0, 105, 0, -165, 0, 0, 0, 120, 0, -147, 0, 0, 0, 147, 0, -165, 0, 0, 0, -126, 0, -66, 0, 0, 0, -261, 0, -177, 0, 0, 0, 138, 0, 75, 0, 0, 0, -171, 0, -90, 0, 0, 0, -87, 0, -180, 0, 0, 0, 93, 0, -108, 0, 0, 0, -42, 0, -216, 0, 0, 0, -42, 0, 30, 0, 0, 0, -336, 0, 3, 0, 0, 0, -105, 0, -81, 0, 0, 0, 105, 0, -231, 0, 0, 0, -150, 0, -294, 0, 0, 0, 144, 0, 426, 0, 0, 0, -99, 0, 165, 0, 0, 0, -369, 0, -162, 0, 0, 0, -33, 0, 306, 0, 0, 0, 192, 0, 201, 0, 0, 0, 141, 0, 15, 0, 0, 0, -78, 0, 171, 0, 0, 0, -135, 0, 450, 0, 0, 0, 78, 0, 216, 0, 0, 0, 213, 0, 72, 0, 0, 0, 195, 0, 177, 0, 0, 0, 324, 0, 201, 0, 0, 0, 156, 0, -81, 0, 0, 0, -24, 0, 291, 0, 0, 0, 198, 0, 441, 0, 0, 0, 12, 0, 12, 0, 0, 0, 201, 0, -51, 0, 0, 0, 279, 0, -126, 0, 0, 0, 180, 0, -21, 0, 0, 0, 111, 0, -42, 0, 0, 0, -78, 0, -294, 0, 0, 0, 3, 0, -33, 0, 0, 0, -75, 0, -195, 0, 0, 0, 234, 0, -300, 0, 0, 0, 129, 0, 36, 0, 0, 0, -546, 0, -105, 0, 0, 0, -237, 0, 123, 0, 0, 0, -108, 0, 129, 0, 0, 0, -120, 0, -201, 0, 0, 0, -207, 0, 126, 0, 0, 0, -33, 0, -84, 0, 0, 0, -129, 0, 6, 0, 0, 0, -648, 0, 444, 0, 0, 0, -315, 0, 15, 0, 0, 0, -60, 0, -210, 0, 0, 0, -108, 0, -3, 0, 0, 0, -201, 0, -27, 0, 0, 0, -63, 0, 156, 0, 0, 0, -144, 0, 660, 0, 0, 0, -660, 0, 42, 0, 0, 0, 33, 0, 18, 0, 0, 0, 348, 0, 18, 0, 0, 0, 219, 0, -57, 0, 0, 0, 27, 0, 132, 0, 0, 0, -330, 0, 30, 0, 0, 0, 84, 0, 564, 0, 0, 0, 21, 0, 72, 0, 0, 0, 210, 0, 108, 0, 0, 0, 333, 0, 186, 0, 0, 0, 162, 0, -18, 0, 0, 0, 207, 0, 33, 0, 0, 0, -15, 0, 24, 0, 0, 0, -69, 0, -84, 0, 0, 0, 471, 0, 135, 0, 0, 0, 393, 0, -405, 0, 0, 0, 303, 0, -117, 0, 0, 0, 165, 0, 402, 0, 0, 0, -102, 0, 87, 0, 0, 0, -159, 0, -246, 0, 0, 0, 99, 0, 72, 0, 0, 0, 222, 0, -78, 0, 0, 0, 333, 0, -249, 0, 0, 0, -336, 0, -225, 0, 0, 0, -330, 0, -279, 0, 0, 0, 240, 0, 51, 0, 0, 0, -93, 0, -321, 0, 0, 0, -60, 0, -450, 0, 0, 0, 240, 0, -153, 0, 0, 0, -138, 0, 261, 0, 0, 0, -144, 0, 24, 0, 0, 0, -537, 0, 36, 0, 0, 0, 30, 0, 333, 0, 0, 0, 156, 0, -330, 0, 0, 0, -114, 0, 210, 0, 0, 0, 171, 0, 324, 0, 0, 0, -45, 0, -51, 0, 0, 0, -423, 0, 144, 0, 0, 0, -27, 0, -162, 0, 0, 0, 210, 0, 309, 0, 0, 0, 342, 0, 108, 0, 0, 0, -36, 0, -48, 0, 0, 0, 84, 0, 288, 0, 0, 0, 201, 0, 222, 0, 0, 0, 42, 0, 81, 0, 0, 0, 90, 0, -396, 0, 0, 0, 480, 0, -93, 0, 0, 0, 237, 0, 129, 0, 0, 0, 246, 0, 57, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 39508598
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506692037379380, 'source_is_minimal': False, 'source_label': '1332.2.bt.b.145.1', 'source_level': 1332, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506692037379380, 'target_is_minimal': False, 'target_label': '1332.2.bt.b.145.1', 'target_level': 1332, 'twist_class_label': '444.2.u.a.49.2', 'twist_class_level': 444, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39508599
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506692037379380, 'source_is_minimal': False, 'source_label': '1332.2.bt.b.145.1', 'source_level': 1332, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089596, 'target_is_minimal': True, 'target_label': '444.2.u.a.145.2', 'target_level': 444, 'twist_class_label': '444.2.u.a.49.2', 'twist_class_level': 444, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39508600
{'conductor': 37, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506692037379380, 'source_is_minimal': False, 'source_label': '1332.2.bt.b.145.1', 'source_level': 1332, 'target_conrey_index': 937, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506692037379380, 'target_is_minimal': False, 'target_label': '1332.2.bt.b.937.1', 'target_level': 1332, 'twist_class_label': '444.2.u.a.49.2', 'twist_class_level': 444, 'twisting_char_label': '37.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 39508601
{'conductor': 111, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 145, 'source_dim': 12, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506692037379380, 'source_is_minimal': False, 'source_label': '1332.2.bt.b.145.1', 'source_level': 1332, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1374423089596, 'target_is_minimal': True, 'target_label': '444.2.u.a.49.2', 'target_level': 444, 'twist_class_label': '444.2.u.a.49.2', 'twist_class_level': 444, 'twisting_char_label': '111.86', 'twisting_conrey_index': 86, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1872575
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4506692037379380, 'p': 2}
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id: 1872576
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4506692037379380, 'p': 3}
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id: 1872577
{'charpoly_factorization': [[[9, -54, 63, 102, 90, 51, 70, 21, 9, 20, 12, 3, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 5}
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id: 1872578
{'charpoly_factorization': [[[5329, 4599, 8397, 2410, -1620, -594, 1047, 324, -135, -38, 9, 0, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 7}
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id: 1872579
{'charpoly_factorization': [[[110889, 104895, 111213, 47934, 32328, 10872, 6373, 1548, 651, 124, 45, 6, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 11}
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id: 1872580
{'charpoly_factorization': [[[81, 324, 648, -90, 846, -1602, 1099, -438, 186, -46, -6, 6, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 13}
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id: 1872581
{'charpoly_factorization': [[[59049, 118098, 144342, 137052, 93312, 47466, 21393, 4860, 198, 24, 54, 12, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 17}
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id: 1872582
{'charpoly_factorization': [[[494209, 1324452, 1653267, 161019, 651621, -47031, 45370, -9903, -1731, 531, 15, -12, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 19}
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id: 1872583
{'charpoly_factorization': [[[239121, -74817, 236124, -41025, 175248, -28572, 38527, 7083, 3534, 220, 63, 0, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 23}
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id: 1872584
{'charpoly_factorization': [[[106929, -361989, 1082223, -564654, 341613, -47175, 31927, -3969, 1953, -109, 54, -3, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 29}
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id: 1872585
{'charpoly_factorization': [[[109, 210, 0, -115, -42, 0, 1], 2]], 'hecke_orbit_code': 4506692037379380, 'p': 31}
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id: 1872586
{'charpoly_factorization': [[[2565726409, -1872286839, 697187892, -184630185, 40310205, -7634358, 1305727, -206334, 29445, -3645, 372, -27, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 37}
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id: 1872587
{'charpoly_factorization': [[[2152089, 7288056, 11462958, 10435635, 6006150, 2305179, 620145, 123741, 19611, 2538, 252, 18, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 41}
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id: 1872588
{'charpoly_factorization': [[[3743, 3957, 567, -378, -69, 6, 1], 2]], 'hecke_orbit_code': 4506692037379380, 'p': 43}
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id: 1872589
{'charpoly_factorization': [[[231983361, 160519509, 101109447, 26510034, 8265771, 1170285, 395473, 43203, 9903, 667, 150, 9, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 47}
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id: 1872590
{'charpoly_factorization': [[[6765201, -28254663, 58499091, -59326821, 49234752, -23209065, 6418162, -1112292, 127674, -10468, 693, -36, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 53}
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id: 1872591
{'charpoly_factorization': [[[184932801, 306956628, 238328973, 4603446, 37162800, -7074540, 2303100, -387558, 21357, 2328, -243, -6, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 59}
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id: 1872592
{'charpoly_factorization': [[[417425761, -273244194, 77966613, -16022880, 1806408, 221310, 79912, -19755, -1422, -135, 63, 9, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 61}
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id: 1872593
{'charpoly_factorization': [[[143736121, -234936444, 157277883, -56890640, 14037066, -2643732, 406344, -46800, 4536, -452, 42, -6, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 67}
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id: 1872594
{'charpoly_factorization': [[[231331178961, -11051224713, -4795722936, 479737458, 132942951, -4942863, -907821, 4401, -243, -102, 234, 3, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 71}
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id: 1872595
{'charpoly_factorization': [[[258371, 49098, -8505, -2061, 12, 21, 1], 2]], 'hecke_orbit_code': 4506692037379380, 'p': 73}
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id: 1872596
{'charpoly_factorization': [[[336020786929, 28236451503, -1642831365, -1204878611, 422343558, -36768177, 2195310, 180036, -30636, 592, 111, -12, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 79}
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id: 1872597
{'charpoly_factorization': [[[1659992049, -3088971288, 2407709853, 154918332, -20095614, -4505949, 148068, -19197, 6237, 1782, 126, 9, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 83}
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id: 1872598
{'charpoly_factorization': [[[8131891329, -6526019313, 1820306934, -209269326, 35255295, -9547179, 2072167, -342033, 52143, -5996, 474, -27, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 89}
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id: 1872599
{'charpoly_factorization': [[[159693769, -209685741, 272256858, -44521047, 26906412, -610908, 2148001, -5385, 39132, 3708, 555, 24, 1], 1]], 'hecke_orbit_code': 4506692037379380, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 46, 'hecke_orbit': 2, 'label': '1332.2.bt.b', 'level': 1332, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 25561585
{'hecke_orbit_code': 4506692037379380, 'n': 1, 'trace_an': 12}
-
id: 25561586
{'hecke_orbit_code': 4506692037379380, 'n': 2, 'trace_an': 0}
-
id: 25561587
{'hecke_orbit_code': 4506692037379380, 'n': 3, 'trace_an': 0}
-
id: 25561588
{'hecke_orbit_code': 4506692037379380, 'n': 4, 'trace_an': 0}
-
id: 25561589
{'hecke_orbit_code': 4506692037379380, 'n': 5, 'trace_an': -3}
-
id: 25561590
{'hecke_orbit_code': 4506692037379380, 'n': 6, 'trace_an': 0}
-
id: 25561591
{'hecke_orbit_code': 4506692037379380, 'n': 7, 'trace_an': 0}
-
id: 25561592
{'hecke_orbit_code': 4506692037379380, 'n': 8, 'trace_an': 0}
-
id: 25561593
{'hecke_orbit_code': 4506692037379380, 'n': 9, 'trace_an': 0}
-
id: 25561594
{'hecke_orbit_code': 4506692037379380, 'n': 10, 'trace_an': 0}
-
id: 25561595
{'hecke_orbit_code': 4506692037379380, 'n': 11, 'trace_an': -6}
-
id: 25561596
{'hecke_orbit_code': 4506692037379380, 'n': 12, 'trace_an': 0}
-
id: 25561597
{'hecke_orbit_code': 4506692037379380, 'n': 13, 'trace_an': -6}
-
id: 25561598
{'hecke_orbit_code': 4506692037379380, 'n': 14, 'trace_an': 0}
-
id: 25561599
{'hecke_orbit_code': 4506692037379380, 'n': 15, 'trace_an': 0}
-
id: 25561600
{'hecke_orbit_code': 4506692037379380, 'n': 16, 'trace_an': 0}
-
id: 25561601
{'hecke_orbit_code': 4506692037379380, 'n': 17, 'trace_an': -12}
-
id: 25561602
{'hecke_orbit_code': 4506692037379380, 'n': 18, 'trace_an': 0}
-
id: 25561603
{'hecke_orbit_code': 4506692037379380, 'n': 19, 'trace_an': 12}
-
id: 25561604
{'hecke_orbit_code': 4506692037379380, 'n': 20, 'trace_an': 0}
-
id: 25561605
{'hecke_orbit_code': 4506692037379380, 'n': 21, 'trace_an': 0}
-
id: 25561606
{'hecke_orbit_code': 4506692037379380, 'n': 22, 'trace_an': 0}
-
id: 25561607
{'hecke_orbit_code': 4506692037379380, 'n': 23, 'trace_an': 0}
-
id: 25561608
{'hecke_orbit_code': 4506692037379380, 'n': 24, 'trace_an': 0}
-
id: 25561609
{'hecke_orbit_code': 4506692037379380, 'n': 25, 'trace_an': -15}
-
id: 25561610
{'hecke_orbit_code': 4506692037379380, 'n': 26, 'trace_an': 0}
-
id: 25561611
{'hecke_orbit_code': 4506692037379380, 'n': 27, 'trace_an': 0}
-
id: 25561612
{'hecke_orbit_code': 4506692037379380, 'n': 28, 'trace_an': 0}
-
id: 25561613
{'hecke_orbit_code': 4506692037379380, 'n': 29, 'trace_an': 3}
-
id: 25561614
{'hecke_orbit_code': 4506692037379380, 'n': 30, 'trace_an': 0}
-
id: 25561615
{'hecke_orbit_code': 4506692037379380, 'n': 31, 'trace_an': 0}
-
id: 25561616
{'hecke_orbit_code': 4506692037379380, 'n': 32, 'trace_an': 0}
-
id: 25561617
{'hecke_orbit_code': 4506692037379380, 'n': 33, 'trace_an': 0}
-
id: 25561618
{'hecke_orbit_code': 4506692037379380, 'n': 34, 'trace_an': 0}
-
id: 25561619
{'hecke_orbit_code': 4506692037379380, 'n': 35, 'trace_an': -36}
-
id: 25561620
{'hecke_orbit_code': 4506692037379380, 'n': 36, 'trace_an': 0}
-
id: 25561621
{'hecke_orbit_code': 4506692037379380, 'n': 37, 'trace_an': 27}
-
id: 25561622
{'hecke_orbit_code': 4506692037379380, 'n': 38, 'trace_an': 0}
-
id: 25561623
{'hecke_orbit_code': 4506692037379380, 'n': 39, 'trace_an': 0}
-
id: 25561624
{'hecke_orbit_code': 4506692037379380, 'n': 40, 'trace_an': 0}
-
id: 25561625
{'hecke_orbit_code': 4506692037379380, 'n': 41, 'trace_an': -18}
-
id: 25561626
{'hecke_orbit_code': 4506692037379380, 'n': 42, 'trace_an': 0}
-
id: 25561627
{'hecke_orbit_code': 4506692037379380, 'n': 43, 'trace_an': -12}
-
id: 25561628
{'hecke_orbit_code': 4506692037379380, 'n': 44, 'trace_an': 0}
-
id: 25561629
{'hecke_orbit_code': 4506692037379380, 'n': 45, 'trace_an': 0}
-
id: 25561630
{'hecke_orbit_code': 4506692037379380, 'n': 46, 'trace_an': 0}
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