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mf_newforms • Show schema
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{'Nk2': 248, 'analytic_conductor': 0.49507249253193836, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 31, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [62, 5, [3], [4]], 'cm_discs': [], 'conrey_index': 33, 'conrey_indexes': [33, 35, 39, 47], 'dim': 8, 'field_disc': 1903140625, 'field_disc_factorization': [[5, 6], [349, 2]], 'field_poly': [361, 209, 194, 43, 29, 1, 6, -3, 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': [[3, [361, -171, 99, 13, 14, 1, 11, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355198, 'hecke_ring_generator_nbound': 3, '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, 31, 4, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '62.2.d.b', 'level': 62, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 31], 'level_radical': 62, 'minimal_twist': '62.2.d.b', 'nf_label': '8.0.1903140625.1', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{6}q^{2}+\\beta _{7}q^{3}+(-1+\\beta _{2}+\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '62.2.d', 'trace_display': [2, -2, 0, -4], 'trace_hash': 2154034206892283586, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.781', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '195.870', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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'embedding_root_imag': 2.067417328561762, 'embedding_root_real': 0.6717446103829345, 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355198, 'label': '62.2.d.b.33.1', 'level': 62, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 248, 'analytic_conductor': 0.49507249253193836, 'char_conductor': 31, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 5, 'char_parity': 1, 'char_values': [62, 5, [3], [4]], 'conrey_index': 33, 'cusp_dim': 24, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206191984702, 'hecke_orbit_dims': [8, 8], 'label': '62.2.d', 'level': 62, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 31], 'level_radical': 62, 'mf_dim': 40, 'mf_new_dim': 16, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 4, 'sturm_bound': 16, 'trace_bound': 2, 'trace_display': [0, -6, -4, -2], 'traces': [16, 0, -6, -4, -4, 8, -2, 0, -12, -4, 4, -6, -4, 6, -2, -4, -2, -8, -16, -4, -6, -8, -12, -2, 16, 32, 42, 8, -6, -16, 28, 0, 32, 8, -28, 28, 12, 18, 14, 6, -18, -18, -10, -6, -50, -12, -22, 4, -4, 4, 6, -4, 16, -32, -20, -4, 8, -18, 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mf_twists_cc • Show schema
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id: 34861274
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 33, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355198, 'target_is_minimal': True, 'target_label': '62.2.d.b.33.1', 'target_level': 62, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34861275
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 343, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553591854, 'target_is_minimal': False, 'target_label': '558.2.i.g.343.1', 'target_level': 558, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34861276
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 33, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511692268863984, 'target_is_minimal': False, 'target_label': '496.2.n.d.33.2', 'target_level': 496, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34861277
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028797052520322, 'target_is_minimal': False, 'target_label': '1922.2.a.i.1.4', 'target_level': 1922, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '31.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34861278
{'conductor': 31, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 47, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805819355198, 'target_is_minimal': True, 'target_label': '62.2.d.b.47.1', 'target_level': 62, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '31.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 34861279
{'conductor': 31, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631810, 'target_is_minimal': False, 'target_label': '1922.2.a.l.1.1', 'target_level': 1922, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '31.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 34861280
{'conductor': 93, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553591854, 'target_is_minimal': False, 'target_label': '558.2.i.g.109.1', 'target_level': 558, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '93.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 34861281
{'conductor': 124, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 33, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805819355198, 'source_is_minimal': True, 'source_label': '62.2.d.b.33.1', 'source_level': 62, 'target_conrey_index': 481, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511692268863984, 'target_is_minimal': False, 'target_label': '496.2.n.d.481.2', 'target_level': 496, 'twist_class_label': '62.2.d.b.33.1', 'twist_class_level': 62, 'twisting_char_label': '124.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 197250
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 2}
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id: 197251
{'charpoly_factorization': [[[361, -171, 99, 13, 14, 1, 11, 2, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 3}
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id: 197252
{'charpoly_factorization': [[[9, 15, -14, 0, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 5}
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id: 197253
{'charpoly_factorization': [[[1, 3, 4, 2, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 7}
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id: 197254
{'charpoly_factorization': [[[9801, -17226, 13995, -5904, 1729, -344, 55, -6, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 11}
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id: 197255
{'charpoly_factorization': [[[7921, -12193, 9680, -4583, 1549, -317, 50, -7, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 13}
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id: 197256
{'charpoly_factorization': [[[81, 270, 333, -105, 94, -55, 27, -5, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 17}
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id: 197257
{'charpoly_factorization': [[[281961, -25488, 6453, 654, 655, -6, 43, 2, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 19}
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id: 197258
{'charpoly_factorization': [[[50625, 16875, 42750, -13875, 1075, 725, 160, 15, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 23}
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id: 197259
{'charpoly_factorization': [[[9801, -4158, 16641, 7641, 2224, 563, 159, 19, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 29}
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id: 197260
{'charpoly_factorization': [[[923521, -387283, 46128, 9889, -3835, 319, 48, -13, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 31}
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id: 197261
{'charpoly_factorization': [[[209, 345, 136, 20, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 37}
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id: 197262
{'charpoly_factorization': [[[9801, 1188, 1215, -267, 124, 107, 45, 7, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 41}
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id: 197263
{'charpoly_factorization': [[[6561, 20412, 23895, -2808, 1894, -452, 100, -12, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 43}
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id: 197264
{'charpoly_factorization': [[[81, 81, 36, 6, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 47}
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id: 197265
{'charpoly_factorization': [[[81, 351, 3060, 2109, 1519, 329, 10, -9, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 53}
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id: 197266
{'charpoly_factorization': [[[531441, 767637, 492075, 126117, 29484, 2403, 225, 18, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 59}
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id: 197267
{'charpoly_factorization': [[[251, 86, -28, -6, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 61}
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id: 197268
{'charpoly_factorization': [[[171, -168, 14, 13, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 67}
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id: 197269
{'charpoly_factorization': [[[2954961, -25785, 487818, 137565, 21349, 2495, 312, 25, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 71}
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id: 197270
{'charpoly_factorization': [[[600625, -135625, 170750, -91875, 27925, -4725, 570, -35, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 73}
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id: 197271
{'charpoly_factorization': [[[9801, -17226, 13995, -5904, 1729, -344, 55, -6, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 79}
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id: 197272
{'charpoly_factorization': [[[81, 27, 54, -12, 1], 2]], 'hecke_orbit_code': 4503805819355198, 'p': 83}
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id: 197273
{'charpoly_factorization': [[[160807761, -9929223, -21402, 102279, 32305, -331, 378, 7, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 89}
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id: 197274
{'charpoly_factorization': [[[83521, -9826, 73695, -61404, 22924, -3894, 410, -26, 1], 1]], 'hecke_orbit_code': 4503805819355198, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '62.2.d.b', 'level': 62, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 83299000
{'hecke_orbit_code': 4503805819355198, 'n': 1, 'trace_an': 8}
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id: 83299001
{'hecke_orbit_code': 4503805819355198, 'n': 2, 'trace_an': 2}
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id: 83299002
{'hecke_orbit_code': 4503805819355198, 'n': 3, 'trace_an': -2}
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id: 83299003
{'hecke_orbit_code': 4503805819355198, 'n': 4, 'trace_an': -2}
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id: 83299004
{'hecke_orbit_code': 4503805819355198, 'n': 5, 'trace_an': 0}
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id: 83299005
{'hecke_orbit_code': 4503805819355198, 'n': 6, 'trace_an': 2}
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id: 83299006
{'hecke_orbit_code': 4503805819355198, 'n': 7, 'trace_an': -4}
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id: 83299007
{'hecke_orbit_code': 4503805819355198, 'n': 8, 'trace_an': 2}
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id: 83299008
{'hecke_orbit_code': 4503805819355198, 'n': 9, 'trace_an': -12}
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id: 83299009
{'hecke_orbit_code': 4503805819355198, 'n': 10, 'trace_an': -5}
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id: 83299010
{'hecke_orbit_code': 4503805819355198, 'n': 11, 'trace_an': 6}
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id: 83299011
{'hecke_orbit_code': 4503805819355198, 'n': 12, 'trace_an': -2}
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id: 83299012
{'hecke_orbit_code': 4503805819355198, 'n': 13, 'trace_an': 7}
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id: 83299013
{'hecke_orbit_code': 4503805819355198, 'n': 14, 'trace_an': 4}
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id: 83299014
{'hecke_orbit_code': 4503805819355198, 'n': 15, 'trace_an': -23}
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id: 83299015
{'hecke_orbit_code': 4503805819355198, 'n': 16, 'trace_an': -2}
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id: 83299016
{'hecke_orbit_code': 4503805819355198, 'n': 17, 'trace_an': 5}
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id: 83299017
{'hecke_orbit_code': 4503805819355198, 'n': 18, 'trace_an': -3}
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id: 83299018
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