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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 5, 'char_parity': 1, 'char_values': [462, 5, [155, 199, 211], [5, 5, 1]], 'cm_discs': [], 'conrey_index': 169, 'dim': 8, 'field_disc': 64000000, 'field_disc_factorization': [[2, 12], [5, 6]], 'field_poly': [16, 0, -8, 0, 4, 0, -2, 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, [1, -36, 492, 182, 150, 68, 27, 6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645697998, 'hecke_ring_generator_nbound': 11, '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, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '462.2.j.f', 'level': 462, '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': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.j.f', 'nf_label': '8.0.64000000.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{6}q^{2}+(1-\\beta _{2}+\\beta _{4}-\\beta _{6})q^{3}-\\beta _{2}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': '462.2.j', 'trace_display': [-2, 2, -6, 2], 'trace_hash': 291600125456178170, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.550', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.541', 'prec': 17}, {'__RealLiteral__': 0, 'data': '193.042', 'prec': 24}, {'__RealLiteral__': 0, 'data': '148.505', 'prec': 24}, {'__RealLiteral__': 0, 'data': '9278.339', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [8, -2, 2, -2, -6, 2, 2, -2, -2, 4, 14, -8, 8, 2, -4, -2, -4, -2, -2, -6, 8, -6, 4, 2, -8, -12, 2, 2, 4, -4, -10, 8, 6, -4, 6, -2, -20, -12, -8, 4, 12, -2, 48, -6, 4, 4, 0, 2, -2, 2, -6, -12, -12, -8, -8, -8, 12, 4, 12, 6, -32, 20, 2, -2, 24, -4, -48, -4, 6, -4, 4, -2, 0, -20, -2, 28, 6, -8, 40, 4, -2, -18, -32, -2, -42, -32, 16, -6, 12, -6, 12, -6, 10, 0, 54, 2, 8, 8, -6, 12, 34, -6, -6, 8, -6, 8, 6, 2, 4, 2, -20, 2, -32, 2, 42, 4, -12, 12, 4, -4, -14, 48, 18, 20, 26, 2, -40, -2, -8, -16, 0, -14, -28, 12, -4, 6, -40, -4, -18, -4, 0, 64, 4, 8, 72, 0, 2, 10, -32, 8, -4, -12, -4, 6, 60, -8, 0, -40, 12, -6, 6, -2, -60, 12, 8, 48, -24, -2, 14, -2, -12, 8, -14, -4, -12, 4, 48, -8, -96, 4, 36, -8, -8, -6, 0, 20, -12, 0, -2, 54, -40, 2, 6, -12, -4, 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mf_hecke_cc • Show schema
Hide schema
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'hecke_orbit_code': 22518616645697998, 'label': '462.2.j.f.421.2', 'level': 462, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 5, 'char_parity': 1, 'char_values': [462, 5, [155, 199, 211], [5, 5, 1]], 'conrey_index': 169, 'cusp_dim': 352, 'dim': 48, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 618508845518, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8], 'label': '462.2.j', 'level': 462, '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': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 416, 'mf_new_dim': 48, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -12, 0, 0, 0, 0, -12, 0, 32, 0, 8, 0, -16, -12, -16, 0, -16, 0, 16, -4, 16, 0, 24, -8, 0, 0, 0, -16, -16, 0, -16, 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mf_twists_cc • Show schema
Hide schema
-
id: 45290163
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 421, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697998, 'source_is_minimal': True, 'source_label': '462.2.j.f.421.2', 'source_level': 462, 'target_conrey_index': 421, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616645697998, 'target_is_minimal': True, 'target_label': '462.2.j.f.421.2', 'target_level': 462, 'twist_class_label': '462.2.j.f.169.2', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45290164
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 421, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697998, 'source_is_minimal': True, 'source_label': '462.2.j.f.421.2', 'source_level': 462, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 220676381774713818, 'target_is_minimal': False, 'target_label': '5082.2.a.bx.1.2', 'target_level': 5082, 'twist_class_label': '462.2.j.f.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45290165
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 421, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697998, 'source_is_minimal': True, 'source_label': '462.2.j.f.421.2', 'source_level': 462, 'target_conrey_index': 169, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518616645697998, 'target_is_minimal': True, 'target_label': '462.2.j.f.169.2', 'target_level': 462, 'twist_class_label': '462.2.j.f.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45290166
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 421, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 22518616645697998, 'source_is_minimal': True, 'source_label': '462.2.j.f.421.2', 'source_level': 462, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911566298, 'target_is_minimal': False, 'target_label': '5082.2.a.cc.1.2', 'target_level': 5082, 'twist_class_label': '462.2.j.f.169.2', 'twist_class_level': 462, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 924550
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 2}
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id: 924551
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 3}
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id: 924552
{'charpoly_factorization': [[[1, -36, 492, 182, 150, 68, 27, 6, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 5}
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id: 924553
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 7}
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id: 924554
{'charpoly_factorization': [[[14641, -18634, 12705, -5896, 2039, -536, 105, -14, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 11}
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id: 924555
{'charpoly_factorization': [[[26896, -5248, 5048, 464, 140, -56, 38, -8, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 13}
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id: 924556
{'charpoly_factorization': [[[78961, -20794, 3657, 748, 390, 22, 52, 4, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 17}
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id: 924557
{'charpoly_factorization': [[[72361, -62408, 27038, -4886, 1040, 104, 23, 2, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 19}
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id: 924558
{'charpoly_factorization': [[[451, 2, -51, -2, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 23}
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id: 924559
{'charpoly_factorization': [[[1628176, 438944, 41232, -8048, 5840, -752, 102, -4, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 29}
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id: 924560
{'charpoly_factorization': [[[7425625, 1635000, 695750, 31250, 3400, -200, 55, 10, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 31}
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id: 924561
{'charpoly_factorization': [[[3025, 550, 4075, 3700, 2190, 790, 180, 20, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 37}
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id: 924562
{'charpoly_factorization': [[[1957201, -444882, 267513, -2724, 1750, 126, 68, -12, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 41}
-
id: 924563
{'charpoly_factorization': [[[-9644, 1616, 76, -24, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 43}
-
id: 924564
{'charpoly_factorization': [[[400, 0, -1600, 0, 16840, 0, 210, 0, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 47}
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id: 924565
{'charpoly_factorization': [[[839056, -630208, 170688, 23024, 6600, 944, 158, 12, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 53}
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id: 924566
{'charpoly_factorization': [[[913936, -298272, 106128, -35664, 9040, -1104, 118, -12, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 59}
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id: 924567
{'charpoly_factorization': [[[274576, 192832, 243008, 46464, 13640, 3264, 458, 32, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 61}
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id: 924568
{'charpoly_factorization': [[[-324, -216, 126, 24, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 67}
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id: 924569
{'charpoly_factorization': [[[1936, 792, 124, -2, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 71}
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id: 924570
{'charpoly_factorization': [[[400, 0, 1600, 0, 2440, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 73}
-
id: 924571
{'charpoly_factorization': [[[31584400, -17084800, 5008200, -953600, 130440, -12640, 880, -40, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 79}
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id: 924572
{'charpoly_factorization': [[[28344976, 12181312, 3074368, 497024, 64200, 5824, 538, 32, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 83}
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id: 924573
{'charpoly_factorization': [[[241, 74, -29, -6, 1], 2]], 'hecke_orbit_code': 22518616645697998, 'p': 89}
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id: 924574
{'charpoly_factorization': [[[633616, 503072, 1185008, -64576, 16400, 784, -22, -8, 1], 1]], 'hecke_orbit_code': 22518616645697998, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 6, 'label': '462.2.j.f', 'level': 462, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44649457
{'hecke_orbit_code': 22518616645697998, 'n': 1, 'trace_an': 8}
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id: 44649458
{'hecke_orbit_code': 22518616645697998, 'n': 2, 'trace_an': -2}
-
id: 44649459
{'hecke_orbit_code': 22518616645697998, 'n': 3, 'trace_an': 2}
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id: 44649460
{'hecke_orbit_code': 22518616645697998, 'n': 4, 'trace_an': -2}
-
id: 44649461
{'hecke_orbit_code': 22518616645697998, 'n': 5, 'trace_an': -6}
-
id: 44649462
{'hecke_orbit_code': 22518616645697998, 'n': 6, 'trace_an': 2}
-
id: 44649463
{'hecke_orbit_code': 22518616645697998, 'n': 7, 'trace_an': 2}
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id: 44649464
{'hecke_orbit_code': 22518616645697998, 'n': 8, 'trace_an': -2}
-
id: 44649465
{'hecke_orbit_code': 22518616645697998, 'n': 9, 'trace_an': -2}
-
id: 44649466
{'hecke_orbit_code': 22518616645697998, 'n': 10, 'trace_an': 4}
-
id: 44649467
{'hecke_orbit_code': 22518616645697998, 'n': 11, 'trace_an': 14}
-
id: 44649468
{'hecke_orbit_code': 22518616645697998, 'n': 12, 'trace_an': -8}
-
id: 44649469
{'hecke_orbit_code': 22518616645697998, 'n': 13, 'trace_an': 8}
-
id: 44649470
{'hecke_orbit_code': 22518616645697998, 'n': 14, 'trace_an': 2}
-
id: 44649471
{'hecke_orbit_code': 22518616645697998, 'n': 15, 'trace_an': -4}
-
id: 44649472
{'hecke_orbit_code': 22518616645697998, 'n': 16, 'trace_an': -2}
-
id: 44649473
{'hecke_orbit_code': 22518616645697998, 'n': 17, 'trace_an': -4}
-
id: 44649474
{'hecke_orbit_code': 22518616645697998, 'n': 18, 'trace_an': -2}
-
id: 44649475
{'hecke_orbit_code': 22518616645697998, 'n': 19, 'trace_an': -2}
-
id: 44649476
{'hecke_orbit_code': 22518616645697998, 'n': 20, 'trace_an': -6}
-
id: 44649477
{'hecke_orbit_code': 22518616645697998, 'n': 21, 'trace_an': 8}
-
id: 44649478
{'hecke_orbit_code': 22518616645697998, 'n': 22, 'trace_an': -6}
-
id: 44649479
{'hecke_orbit_code': 22518616645697998, 'n': 23, 'trace_an': 4}
-
id: 44649480
{'hecke_orbit_code': 22518616645697998, 'n': 24, 'trace_an': 2}
-
id: 44649481
{'hecke_orbit_code': 22518616645697998, 'n': 25, 'trace_an': -8}
-
id: 44649482
{'hecke_orbit_code': 22518616645697998, 'n': 26, 'trace_an': -12}
-
id: 44649483
{'hecke_orbit_code': 22518616645697998, 'n': 27, 'trace_an': 2}
-
id: 44649484
{'hecke_orbit_code': 22518616645697998, 'n': 28, 'trace_an': 2}
-
id: 44649485
{'hecke_orbit_code': 22518616645697998, 'n': 29, 'trace_an': 4}
-
id: 44649486
{'hecke_orbit_code': 22518616645697998, 'n': 30, 'trace_an': -4}
-
id: 44649487
{'hecke_orbit_code': 22518616645697998, 'n': 31, 'trace_an': -10}
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id: 44649488
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