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mf_newforms • Show schema
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{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49, 199], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519647437850526, '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, 65, 12, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1950.2.y.f', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.bb.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\zeta_{12}^{2}q^{2}+(\\zeta_{12}-\\zeta_{12}^{3})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1950.2.y', 'trace_display': [2, 0, 0, -4], 'trace_hash': 1036145875022615001, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.138', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
Hide schema
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True, 'hecke_ring_rank': 4, 'label': '1950.2.y.f', 'level': 1950, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 7800, 'analytic_conductor': 15.570828394149675, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 25, 'char_orbit_label': 'y', 'char_order': 6, 'char_parity': 1, 'char_values': [1950, 6, [1301, 1327, 301], [6, 3, 5]], 'conrey_index': 49, 'cusp_dim': 792, 'dim': 88, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 1649300998046, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 12], 'label': '1950.2.y', 'level': 1950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 888, 'mf_new_dim': 88, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 44, 'sturm_bound': 840, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [88, 0, 0, -44, 0, 0, 0, 0, 44, 0, -24, 0, 0, -16, 0, -44, 0, 0, -36, 0, 0, 0, 0, 0, 0, -24, 0, 0, -8, 0, 0, 0, 0, 0, 0, 44, 0, 0, -12, 0, 96, 0, 0, 0, 0, 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-32, 0, 0, 0, 0, 0, 0, -24, 0, 0, 16, 0, -24, 0, 0, 0, 0, 156, 0, 0, -164, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 848483
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '390.2.bb.b', 'target_level': 390, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848484
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '390.2.bb.b', 'target_level': 390, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848485
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1170.2.bs.e', 'target_level': 1170, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848486
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1170.2.bs.e', 'target_level': 1170, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 848487
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.y.c', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 848488
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.y.c', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 848489
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1950.2.y.f', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 848490
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1950.2.y.f', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 848491
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.bc.b', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 848492
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.bc.b', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 848493
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '5070.2.a.y', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 848494
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '5070.2.a.bg', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 848495
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5070.2.b.o', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 848496
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 25, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1950.2.y.f', 'source_level': 1950, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5070.2.b.o', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2325450
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 2}
-
id: 2325451
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 3}
-
id: 2325452
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22519647437850526, 'p': 5}
-
id: 2325453
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 7}
-
id: 2325454
{'charpoly_factorization': [[[9, -36, 51, -12, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 11}
-
id: 2325455
{'charpoly_factorization': [[[169, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 13}
-
id: 2325456
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 17}
-
id: 2325457
{'charpoly_factorization': [[[16, -48, 44, 12, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 19}
-
id: 2325458
{'charpoly_factorization': [[[1, 6, 11, -6, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 23}
-
id: 2325459
{'charpoly_factorization': [[[1, -4, 15, -4, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 29}
-
id: 2325460
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 31}
-
id: 2325461
{'charpoly_factorization': [[[121, -88, 75, 8, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 37}
-
id: 2325462
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 41}
-
id: 2325463
{'charpoly_factorization': [[[529, 552, 215, 24, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 43}
-
id: 2325464
{'charpoly_factorization': [[[37, -14, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 47}
-
id: 2325465
{'charpoly_factorization': [[[144, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 53}
-
id: 2325466
{'charpoly_factorization': [[[169, -156, 35, 12, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 59}
-
id: 2325467
{'charpoly_factorization': [[[11664, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 61}
-
id: 2325468
{'charpoly_factorization': [[[2704, -832, 204, -16, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 67}
-
id: 2325469
{'charpoly_factorization': [[[10816, 3744, 536, 36, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 71}
-
id: 2325470
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 22519647437850526, 'p': 73}
-
id: 2325471
{'charpoly_factorization': [[[1, -14, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 79}
-
id: 2325472
{'charpoly_factorization': [[[-44, -4, 1], 2]], 'hecke_orbit_code': 22519647437850526, 'p': 83}
-
id: 2325473
{'charpoly_factorization': [[[16, -48, 44, 12, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 89}
-
id: 2325474
{'charpoly_factorization': [[[16, -32, 60, -8, 1], 1]], 'hecke_orbit_code': 22519647437850526, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 25, 'hecke_orbit': 6, 'label': '1950.2.y.f', 'level': 1950, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 174131000
{'hecke_orbit_code': 22519647437850526, 'n': 1, 'trace_an': 4}
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id: 174131001
{'hecke_orbit_code': 22519647437850526, 'n': 2, 'trace_an': 2}
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id: 174131002
{'hecke_orbit_code': 22519647437850526, 'n': 3, 'trace_an': 0}
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id: 174131003
{'hecke_orbit_code': 22519647437850526, 'n': 4, 'trace_an': -2}
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id: 174131004
{'hecke_orbit_code': 22519647437850526, 'n': 5, 'trace_an': 0}
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id: 174131005
{'hecke_orbit_code': 22519647437850526, 'n': 6, 'trace_an': 0}
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id: 174131006
{'hecke_orbit_code': 22519647437850526, 'n': 7, 'trace_an': -4}
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id: 174131007
{'hecke_orbit_code': 22519647437850526, 'n': 8, 'trace_an': -4}
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id: 174131008
{'hecke_orbit_code': 22519647437850526, 'n': 9, 'trace_an': 2}
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id: 174131009
{'hecke_orbit_code': 22519647437850526, 'n': 10, 'trace_an': 0}
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id: 174131010
{'hecke_orbit_code': 22519647437850526, 'n': 11, 'trace_an': 12}
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id: 174131011
{'hecke_orbit_code': 22519647437850526, 'n': 12, 'trace_an': 0}
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id: 174131012
{'hecke_orbit_code': 22519647437850526, 'n': 13, 'trace_an': 0}
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id: 174131013
{'hecke_orbit_code': 22519647437850526, 'n': 14, 'trace_an': -8}
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id: 174131014
{'hecke_orbit_code': 22519647437850526, 'n': 15, 'trace_an': 0}
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id: 174131015
{'hecke_orbit_code': 22519647437850526, 'n': 16, 'trace_an': -2}
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id: 174131016
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