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{'Nk2': 30420, 'analytic_conductor': 60.726230737183734, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [13, -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': [7605, 1, [6761, 1522, 6931], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 9, 'field_disc': 539229720673, 'field_disc_factorization': [[7, 6], [4583377, 1]], 'field_poly': [8, -48, 70, 17, -83, 17, 29, -9, -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': [[2, [-13, 63, 0, -107, 7, 63, -1, -14, 0, 1]], [7, [6656, -13184, 3520, 5384, -2108, -528, 285, -3, -10, 1]], [11, [13504, -25952, 7232, 9864, -4360, -864, 499, -17, -11, 1]]], 'hecke_orbit': 70, 'hecke_orbit_code': 310748374322126261, 'hecke_ring_generator_nbound': 7, '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': '7605.2.a.cr', 'level': 7605, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '2535.2.a.bm', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{7}q^{2}+(1+\\beta _{1}-\\beta _{3}+\\beta _{4}+\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7605.2.a', 'trace_display': [0, 0, 9, 10], 'trace_hash': 1943315623706387768, 'trace_moments': [{'__RealLiteral__': 0, 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-
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{'AL_dims': [[[[3, -1], [5, -1], [13, -1]], 42, 11], [[[3, -1], [5, -1], [13, 1]], 35, 17], [[[3, 1], [5, 1], [13, 1]], 26, 6], [[[3, 1], [5, 1], [13, -1]], 26, 5], [[[3, 1], [5, -1], [13, -1]], 26, 5], [[[3, -1], [5, 1], [13, 1]], 42, 14], [[[3, 1], [5, -1], [13, 1]], 26, 6], [[[3, -1], [5, 1], [13, -1]], 36, 13]], 'ALdims': [26, 26, 26, 26, 42, 36, 35, 42], 'Nk2': 30420, 'analytic_conductor': 60.726230737183734, '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': [7605, 1, [6761, 1522, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1037, 'dim': 259, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33562037, 'hecke_orbit_dims': [1, 1, 1, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 9, 9, 9, 9, 10, 10, 12, 12, 12, 12], 'label': '7605.2.a', 'level': 7605, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 1148, 'mf_new_dim': 259, 'num_forms': 77, 'plus_dim': 123, 'prim_orbit_index': 1, 'relative_dim': 259, 'sturm_bound': 2184, 'trace_bound': 11, 'trace_display': [1, 0, -1, 4], 'traces': [259, 1, 0, 261, -1, 0, 4, 9, 0, -3, 0, 0, 0, -20, 0, 261, -6, 0, 4, -7, 0, 16, 0, 0, 259, 0, 0, 12, 10, 0, -12, -11, 0, 2, 4, 0, 10, 0, 0, -3, -18, 0, 12, -28, 0, 32, 4, 0, 275, 1, 0, 0, 10, 0, 4, -40, 0, 6, -4, 0, -22, 0, 0, 241, 0, 0, 24, -6, 0, -8, 16, 0, 14, 22, 0, 48, 20, 0, 12, -15, 0, -42, -32, 0, -10, 76, 0, 52, 2, 0, 0, 20, 0, -60, 12, 0, 18, -31, 0, 261, -2, 0, 16, 0, 0, 58, -24, 0, -10, -28, 0, 12, 14, 0, -8, 34, 0, 16, -32, 0, 283, 58, 0, -104, -1, 0, -140, 105, 0, 0, -44, 0, -156, -44, 0, 74, -26, 0, -140, 44, 0, 0, 0, 0, 22, 78, 0, 118, 66, 0, 24, -100, 0, -60, 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380, 0, -64, 338, 0, -322, 356, 0, -1118, 0, 0, -256, 244, 0, -40, 212, 0, 388, -208, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49130204
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 310748374322126261, 'source_is_minimal': False, 'source_label': '7605.2.a.cr.1.8', 'source_level': 7605, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 310748374322126261, 'target_is_minimal': False, 'target_label': '7605.2.a.cr.1.8', 'target_level': 7605, 'twist_class_label': '2535.2.a.bm.1.2', 'twist_class_level': 2535, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49130205
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 310748374322126261, 'source_is_minimal': False, 'source_label': '7605.2.a.cr.1.8', 'source_level': 7605, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873635815, 'target_is_minimal': True, 'target_label': '2535.2.a.bm.1.2', 'target_level': 2535, 'twist_class_label': '2535.2.a.bm.1.2', 'twist_class_level': 2535, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49130206
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 310748374322126261, 'source_is_minimal': False, 'source_label': '7605.2.a.cr.1.8', 'source_level': 7605, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 306244774694755765, 'target_is_minimal': False, 'target_label': '7605.2.a.cq.1.2', 'target_level': 7605, 'twist_class_label': '2535.2.a.bm.1.2', 'twist_class_level': 2535, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49130207
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 310748374322126261, 'source_is_minimal': False, 'source_label': '7605.2.a.cr.1.8', 'source_level': 7605, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 175640385501006311, 'target_is_minimal': True, 'target_label': '2535.2.a.bn.1.8', 'target_level': 2535, 'twist_class_label': '2535.2.a.bm.1.2', 'twist_class_level': 2535, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4523900
{'charpoly_factorization': [[[-13, 63, 0, -107, 7, 63, -1, -14, 0, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 2}
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id: 4523901
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 310748374322126261, 'p': 3}
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id: 4523902
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 310748374322126261, 'p': 5}
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id: 4523903
{'charpoly_factorization': [[[6656, -13184, 3520, 5384, -2108, -528, 285, -3, -10, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 7}
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id: 4523904
{'charpoly_factorization': [[[13504, -25952, 7232, 9864, -4360, -864, 499, -17, -11, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 11}
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id: 4523905
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 310748374322126261, 'p': 13}
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id: 4523906
{'charpoly_factorization': [[[207304, -224208, -27750, 57413, 7736, -3920, -764, 47, 18, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 17}
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id: 4523907
{'charpoly_factorization': [[[95537, -5207, -94548, 1593, 15865, 859, -771, -66, 10, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 19}
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id: 4523908
{'charpoly_factorization': [[[-13, 5156, 5841, -13317, -3979, 1650, 328, -69, -7, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 23}
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id: 4523909
{'charpoly_factorization': [[[-1536704, -1114720, 1514624, -61880, -93352, 8036, 1701, -174, -9, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 29}
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id: 4523910
{'charpoly_factorization': [[[72241, -51735, -79039, 54641, 11071, -5857, -1434, -10, 17, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 31}
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id: 4523911
{'charpoly_factorization': [[[512, 2688, -928, -3112, 1088, 706, -171, -60, 3, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 37}
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id: 4523912
{'charpoly_factorization': [[[-2793664, 326496, 1300224, -344632, -60320, 15316, 883, -219, -4, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 41}
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id: 4523913
{'charpoly_factorization': [[[-13504, -672, 177744, 113048, -55412, -854, 1821, -91, -14, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 43}
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id: 4523914
{'charpoly_factorization': [[[37337, 309703, -138114, -133045, 8471, 9617, -237, -188, 2, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 47}
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id: 4523915
{'charpoly_factorization': [[[-135703, 170708, 8825, -59561, 7867, 4526, -414, -117, 5, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 53}
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id: 4523916
{'charpoly_factorization': [[[-59968, 176608, 38816, -65288, -6208, 5748, 363, -148, -3, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 59}
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id: 4523917
{'charpoly_factorization': [[[-13562317, 4172175, 3037652, -1842107, 333689, -5781, -5967, 852, -48, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 61}
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id: 4523918
{'charpoly_factorization': [[[-4741568, -3645472, 6584368, -3083224, 670084, -66278, 463, 493, -40, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 67}
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id: 4523919
{'charpoly_factorization': [[[-2404352, -6850560, -6594560, -2289920, -101232, 44672, 2641, -335, -12, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 71}
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id: 4523920
{'charpoly_factorization': [[[12364736, -25500320, -5585616, 2862920, -3636, -67930, 4649, 291, -38, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 73}
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id: 4523921
{'charpoly_factorization': [[[194359633, -149590753, 26891364, 2950961, -902711, 5197, 8081, -272, -22, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 79}
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id: 4523922
{'charpoly_factorization': [[[-3683303, 10744606, -8881811, 3184091, -498121, 12748, 4810, -351, -11, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 83}
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id: 4523923
{'charpoly_factorization': [[[48404992, 133852032, -12234336, -6596280, 161580, 96688, -197, -537, -2, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 89}
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id: 4523924
{'charpoly_factorization': [[[-6184256, 730880, 3427776, 15688, -337176, -2038, 7603, -271, -23, 1], 1]], 'hecke_orbit_code': 310748374322126261, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 70, 'label': '7605.2.a.cr', 'level': 7605, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 280356000
{'hecke_orbit_code': 310748374322126261, 'n': 1, 'trace_an': 9}
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id: 280356001
{'hecke_orbit_code': 310748374322126261, 'n': 2, 'trace_an': 0}
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id: 280356002
{'hecke_orbit_code': 310748374322126261, 'n': 3, 'trace_an': 0}
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id: 280356003
{'hecke_orbit_code': 310748374322126261, 'n': 4, 'trace_an': 10}
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id: 280356004
{'hecke_orbit_code': 310748374322126261, 'n': 5, 'trace_an': 9}
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id: 280356005
{'hecke_orbit_code': 310748374322126261, 'n': 6, 'trace_an': 0}
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id: 280356006
{'hecke_orbit_code': 310748374322126261, 'n': 7, 'trace_an': 10}
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id: 280356007
{'hecke_orbit_code': 310748374322126261, 'n': 8, 'trace_an': 3}
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id: 280356008
{'hecke_orbit_code': 310748374322126261, 'n': 9, 'trace_an': 0}
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id: 280356009
{'hecke_orbit_code': 310748374322126261, 'n': 10, 'trace_an': 0}
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id: 280356010
{'hecke_orbit_code': 310748374322126261, 'n': 11, 'trace_an': 11}
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id: 280356011
{'hecke_orbit_code': 310748374322126261, 'n': 12, 'trace_an': 0}
-
id: 280356012
{'hecke_orbit_code': 310748374322126261, 'n': 13, 'trace_an': 0}
-
id: 280356013
{'hecke_orbit_code': 310748374322126261, 'n': 14, 'trace_an': -10}
-
id: 280356014
{'hecke_orbit_code': 310748374322126261, 'n': 15, 'trace_an': 0}
-
id: 280356015
{'hecke_orbit_code': 310748374322126261, 'n': 16, 'trace_an': 8}
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