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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -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': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 3981, 'field_disc_factorization': [[3, 1], [1327, 1]], 'field_poly': [1, 2, -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': [[7, [1, 10, -18, 1, 1]], [11, [-27, 45, -15, -3, 1]], [17, [-27, 18, 12, -9, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090454436, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8100.2.a.y', 'level': 8100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '900.2.i.d', 'nf_label': '4.4.3981.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{7}+(1+\\beta _{2})q^{11}-\\beta _{1}q^{13}+(2+\\cdots)q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8100.2.a', 'trace_display': [0, 0, 0, -1], 'trace_hash': 773288471107569942, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.285755313411543, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.327189261494717, 0.0], [0.0, 0.0], [-0.5722294181532966, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.3399837242726128, 0.0], [0.0, 0.0], [-1.458433787576451, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.022483237418230308, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.6864445252731146, 0.0], [0.0, 0.0], [0.550167411704839, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.3214619475911541, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.35804827005255, 0.0], [0.0, 0.0], [1.086766576697695, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0915909492310931, 0.0], [0.0, 0.0], [0.6531667259660152, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.7990855631216984, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.715801618539339, 0.0], [0.0, 0.0], [-0.22081447871181079, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.5119378527731782, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8912272896963317, 0.0], [0.0, 0.0], [0.6344060894568588, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.7064406448695741, 0.0], [0.0, 0.0], [1.0616472203901457, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.9850196272186468, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.4256695913258861, 0.0], [0.0, 0.0], [-0.7357470148809968, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.22043452864566535, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, None, -0.13887017961524337, -0.1345150016147609, -0.2961819211793977, -0.27718707195730546, -0.38005773226271344, -0.24821080312808227, -0.40967212040223094, -0.20564721515113427, -0.2756925752462585, -0.1312015763950993, -0.15857152136377617, -0.3418862232181511, -0.07194990876515703, -0.08588417597517224, -0.26760775460554487, -0.11358304281662272, -0.17649276036026632, -0.19862816405571956, -0.1609413340142594, -0.16803978262872593, -0.2841348068083115, -0.2675773334791806, -0.27363531806211583, -0.3030022173792335, -0.13390449405461458, -0.4174560199029038, -0.25061222090470525, -0.4534366766351005, -0.17189822262239277, -0.15209172408173777, -0.14364721824171992, -0.2508727346464584, -0.20977879359757756, -0.3503524217110668, -0.14265995726500313, -0.10422168046257241, -0.08560647600423715, -0.38972405679018735, -0.30008399412226106, -0.1985268686687323, -0.2919009686430697, -0.27378375986382864, -0.1564045457292266, -0.40623363956825337, -0.2577108040792245, -0.13073823774290286, -0.12832963059689692, -0.3025680505671958, -0.28164781127912747, -0.251521344879565, -0.2272369646493765, -0.18029234166785998, -0.28524242828675056, -0.2932444366736773, -0.2989070133746326, -0.2067763804487585, -0.4530915570231989, -0.219696712954829, -0.09836833891716434, -0.19337977576173485, -0.22780616308520807, -0.16720230579548248, -0.1573822165987796, -0.18433310813751402, -0.20650840269809614, -0.20532931783612138, -0.17417247886720838, -0.3074036838254533, -0.3115013683830047, -0.290225990231489, -0.142737694965873, -0.23879178255955721, -0.15816077157198843, -0.18935461079497884, -0.2757960466278701, -0.3245216334344412, -0.32689530397739897, -0.4601035673658884, -0.4337897972133728, -0.31602772853890376, -0.33418327497785194, -0.2729877023105918, -0.2259934413492711, -0.1774367014586916, -0.13839198965180952, -0.19898926444947546, -0.36025341337539557, -0.11314223103266978, -0.27135514910333763, -0.18907281699051273, -0.19995725788997076, -0.2340507909843283, -0.31611055404134575, -0.17212107924599915, -0.14291121311390723, -0.3484003971241544, -0.29977733135069684], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.31845889657472076, 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090454436, 'label': '8100.2.a.y.1.4', 'level': 8100, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 19, 18, 17, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [35, 36, 36, 36, 18, 18, 18, 18], 'ALdims_old': [181, 186, 189, 183, 179, 174, 172, 173], 'Nk2': 32400, 'analytic_conductor': 64.67882563723711, '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': [8100, 1, [4051, 6401, 7777], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 76, 'eis_dim': 215, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33562532, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 6, 6, 8], 'label': '8100.2.a', 'level': 8100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1728, 'mf_new_dim': 76, 'num_forms': 31, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 3240, 'trace_bound': 23, 'trace_display': [0, 0, 0, 2], 'traces': [76, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -174, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -278, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -236, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -154, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 206, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 328, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, -364, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 254, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -134, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -322, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48543543
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 108086391090454436, 'target_is_minimal': False, 'target_label': '8100.2.a.y.1.4', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48543544
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 103582791463083940, 'target_is_minimal': False, 'target_label': '8100.2.a.x.1.4', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48543545
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 81064999484661668, 'target_is_minimal': False, 'target_label': '8100.2.d.s.649.7', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48543546
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064999484661668, 'target_is_minimal': False, 'target_label': '8100.2.d.s.649.2', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48543547
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345195428, 'target_is_minimal': False, 'target_label': '8100.2.a.ba.1.1', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48543548
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480708, 'target_is_minimal': True, 'target_label': '900.2.i.d.301.1', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48543549
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1801, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298853004, 'target_is_minimal': False, 'target_label': '2700.2.i.e.1801.1', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48543550
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 601, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480708, 'target_is_minimal': True, 'target_label': '900.2.i.d.601.1', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48543551
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298853004, 'target_is_minimal': False, 'target_label': '2700.2.i.e.901.1', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48543552
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057800229920676, 'target_is_minimal': False, 'target_label': '8100.2.d.q.649.7', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48543553
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057800229920676, 'target_is_minimal': False, 'target_label': '8100.2.d.q.649.2', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48543554
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717824932, 'target_is_minimal': False, 'target_label': '8100.2.a.z.1.1', 'target_level': 8100, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48543555
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.49.5', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48543556
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1801, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671482508, 'target_is_minimal': False, 'target_label': '2700.2.i.d.1801.4', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48543557
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1549, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.1549.7', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48543558
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 2449, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.2449.7', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48543559
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 601, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014948298851204, 'target_is_minimal': True, 'target_label': '900.2.i.e.601.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48543560
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 2449, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.2449.2', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 48543561
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.349.5', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48543562
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 301, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014948298851204, 'target_is_minimal': True, 'target_label': '900.2.i.e.301.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48543563
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.349.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48543564
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671482508, 'target_is_minimal': False, 'target_label': '2700.2.i.d.901.4', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48543565
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512035866248068, 'target_is_minimal': False, 'target_label': '900.2.s.d.49.4', 'target_level': 900, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48543566
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 108086391090454436, 'source_is_minimal': False, 'source_label': '8100.2.a.y.1.4', 'source_level': 8100, 'target_conrey_index': 1549, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512035866249868, 'target_is_minimal': False, 'target_label': '2700.2.s.d.1549.2', 'target_level': 2700, 'twist_class_label': '900.2.i.d.301.1', 'twist_class_level': 900, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4659750
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090454436, 'p': 2}
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id: 4659751
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090454436, 'p': 3}
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id: 4659752
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090454436, 'p': 5}
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id: 4659753
{'charpoly_factorization': [[[1, 10, -18, 1, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 7}
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id: 4659754
{'charpoly_factorization': [[[-27, 45, -15, -3, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 11}
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id: 4659755
{'charpoly_factorization': [[[43, 1, -18, -2, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 13}
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id: 4659756
{'charpoly_factorization': [[[-27, 18, 12, -9, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 17}
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id: 4659757
{'charpoly_factorization': [[[-23, -80, -27, 4, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 19}
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id: 4659758
{'charpoly_factorization': [[[27, -243, -69, 3, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 23}
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id: 4659759
{'charpoly_factorization': [[[-1161, -666, -60, 9, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 29}
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id: 4659760
{'charpoly_factorization': [[[25, 37, -18, -2, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 31}
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id: 4659761
{'charpoly_factorization': [[[97, -23, -39, 1, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 37}
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id: 4659762
{'charpoly_factorization': [[[81, 405, -45, -9, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 41}
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id: 4659763
{'charpoly_factorization': [[[37, 424, -54, -8, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 43}
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id: 4659764
{'charpoly_factorization': [[[-999, 576, -51, -12, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 47}
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id: 4659765
{'charpoly_factorization': [[[2781, 621, -78, -12, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 53}
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id: 4659766
{'charpoly_factorization': [[[-10071, -2628, -114, 15, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 59}
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id: 4659767
{'charpoly_factorization': [[[-317, -311, -75, 1, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 61}
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id: 4659768
{'charpoly_factorization': [[[2857, 598, -84, -11, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 67}
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id: 4659769
{'charpoly_factorization': [[[-729, 891, -72, -12, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 71}
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id: 4659770
{'charpoly_factorization': [[[-515, -293, -12, 10, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 73}
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id: 4659771
{'charpoly_factorization': [[[15493, -869, -237, 7, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 79}
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id: 4659772
{'charpoly_factorization': [[[3699, 693, -96, -12, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 83}
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id: 4659773
{'charpoly_factorization': [[[5913, 513, -243, 3, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 89}
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id: 4659774
{'charpoly_factorization': [[[2011, 667, -135, -5, 1], 1]], 'hecke_orbit_code': 108086391090454436, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '8100.2.a.y', 'level': 8100, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66556753
{'hecke_orbit_code': 108086391090454436, 'n': 1, 'trace_an': 4}
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id: 66556754
{'hecke_orbit_code': 108086391090454436, 'n': 2, 'trace_an': 0}
-
id: 66556755
{'hecke_orbit_code': 108086391090454436, 'n': 3, 'trace_an': 0}
-
id: 66556756
{'hecke_orbit_code': 108086391090454436, 'n': 4, 'trace_an': 0}
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id: 66556757
{'hecke_orbit_code': 108086391090454436, 'n': 5, 'trace_an': 0}
-
id: 66556758
{'hecke_orbit_code': 108086391090454436, 'n': 6, 'trace_an': 0}
-
id: 66556759
{'hecke_orbit_code': 108086391090454436, 'n': 7, 'trace_an': -1}
-
id: 66556760
{'hecke_orbit_code': 108086391090454436, 'n': 8, 'trace_an': 0}
-
id: 66556761
{'hecke_orbit_code': 108086391090454436, 'n': 9, 'trace_an': 0}
-
id: 66556762
{'hecke_orbit_code': 108086391090454436, 'n': 10, 'trace_an': 0}
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id: 66556763
{'hecke_orbit_code': 108086391090454436, 'n': 11, 'trace_an': 3}
-
id: 66556764
{'hecke_orbit_code': 108086391090454436, 'n': 12, 'trace_an': 0}
-
id: 66556765
{'hecke_orbit_code': 108086391090454436, 'n': 13, 'trace_an': 2}
-
id: 66556766
{'hecke_orbit_code': 108086391090454436, 'n': 14, 'trace_an': 0}
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id: 66556767
{'hecke_orbit_code': 108086391090454436, 'n': 15, 'trace_an': 0}
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id: 66556768
{'hecke_orbit_code': 108086391090454436, 'n': 16, 'trace_an': 0}
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id: 66556769
{'hecke_orbit_code': 108086391090454436, 'n': 17, 'trace_an': 9}
-
id: 66556770
{'hecke_orbit_code': 108086391090454436, 'n': 18, 'trace_an': 0}
-
id: 66556771
{'hecke_orbit_code': 108086391090454436, 'n': 19, 'trace_an': -4}
-
id: 66556772
{'hecke_orbit_code': 108086391090454436, 'n': 20, 'trace_an': 0}
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id: 66556773
{'hecke_orbit_code': 108086391090454436, 'n': 21, 'trace_an': 0}
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id: 66556774
{'hecke_orbit_code': 108086391090454436, 'n': 22, 'trace_an': 0}
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id: 66556775
{'hecke_orbit_code': 108086391090454436, 'n': 23, 'trace_an': -3}
-
id: 66556776
{'hecke_orbit_code': 108086391090454436, 'n': 24, 'trace_an': 0}
-
id: 66556777
{'hecke_orbit_code': 108086391090454436, 'n': 25, 'trace_an': 0}
-
id: 66556778
{'hecke_orbit_code': 108086391090454436, 'n': 26, 'trace_an': 0}
-
id: 66556779
{'hecke_orbit_code': 108086391090454436, 'n': 27, 'trace_an': 0}
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id: 66556780
{'hecke_orbit_code': 108086391090454436, 'n': 28, 'trace_an': 0}
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id: 66556781
{'hecke_orbit_code': 108086391090454436, 'n': 29, 'trace_an': -9}
-
id: 66556782
{'hecke_orbit_code': 108086391090454436, 'n': 30, 'trace_an': 0}
-
id: 66556783
{'hecke_orbit_code': 108086391090454436, 'n': 31, 'trace_an': 2}
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id: 66556784
{'hecke_orbit_code': 108086391090454436, 'n': 32, 'trace_an': 0}
-
id: 66556785
{'hecke_orbit_code': 108086391090454436, 'n': 33, 'trace_an': 0}
-
id: 66556786
{'hecke_orbit_code': 108086391090454436, 'n': 34, 'trace_an': 0}
-
id: 66556787
{'hecke_orbit_code': 108086391090454436, 'n': 35, 'trace_an': 0}
-
id: 66556788
{'hecke_orbit_code': 108086391090454436, 'n': 36, 'trace_an': 0}
-
id: 66556789
{'hecke_orbit_code': 108086391090454436, 'n': 37, 'trace_an': -1}
-
id: 66556790
{'hecke_orbit_code': 108086391090454436, 'n': 38, 'trace_an': 0}
-
id: 66556791
{'hecke_orbit_code': 108086391090454436, 'n': 39, 'trace_an': 0}
-
id: 66556792
{'hecke_orbit_code': 108086391090454436, 'n': 40, 'trace_an': 0}
-
id: 66556793
{'hecke_orbit_code': 108086391090454436, 'n': 41, 'trace_an': 9}
-
id: 66556794
{'hecke_orbit_code': 108086391090454436, 'n': 42, 'trace_an': 0}
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id: 66556988
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id: 66556989
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id: 66556990
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id: 66556991
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id: 66556992
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id: 66556993
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id: 66556994
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id: 66556995
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id: 66556996
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id: 66556997
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id: 66556998
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id: 66556999
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id: 66557000
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id: 66557001
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id: 66557002
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id: 66557003
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id: 66557004
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id: 66557005
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id: 66557006
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id: 66557007
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id: 66557008
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id: 66557009
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id: 66557010
{'hecke_orbit_code': 108086391090454436, 'n': 997, 'trace_an': -19}