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mf_newforms • Show schema
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 12, 'char_parity': 1, 'char_values': [1300, 12, [651, 677, 301], [12, 9, 7]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 293, 357, 457], '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': [[3, [1, 2, 5, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 3023690532116, '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, 15, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1300.2.bs.a', 'level': 1300, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '260.2.bf.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 15, 'qexp_display': 'q+(-1-\\zeta_{12})q^{3}+(-1-2\\zeta_{12}-\\zeta_{12}^{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1300.2.bs', 'trace_display': [0, -4, 0, -6], 'trace_hash': 768486557239543365, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '45.209', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1300.2.bs.a', 'level': 1300, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5200, 'analytic_conductor': 10.38055226276645, 'char_conductor': 65, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 12, 'char_parity': 1, 'char_values': [1300, 12, [651, 677, 301], [12, 9, 7]], 'conrey_index': 193, 'cusp_dim': 768, 'dim': 84, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 3023690532116, 'hecke_orbit_dims': [4, 4, 16, 20, 40], 'label': '1300.2.bs', 'level': 1300, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 912, 'mf_new_dim': 84, 'num_forms': 5, 'prim_orbit_index': 15, 'relative_dim': 21, 'sturm_bound': 420, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 2, 0, 16, 0, -4, 0, 12, 0, 0, 0, 24, 0, 0, 0, -8, 0, 4, 0, 0, 0, 18, 0, -24, 0, -14, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, -6, 0, 0, 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-244, 0, 156, 0, 100, 0, -192, 0, 0, 0, -128, 0, -204, 0, 312, 0, -24, 0, 0, 0, -60, 0, 688, 0, 712, 0, 194, 0, 0, 0, 42, 0, 540, 0, 744, 0, -348, 0, 0, 0, -196, 0, -252, 0, 80, 0, 40, 0, 0, 0, -204, 0, 360, 0, 162, 0, -84, 0, 0, 0, -488, 0, 496, 0, 968, 0, -294, 0, 0, 0, -104, 0, -228, 0, 1116, 0, 168, 0, 0, 0, 36, 0, -818, 0, 488, 0, -158, 0, 0, 0, 0, 0, 256, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 703275
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.bf.a', 'target_level': 260, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 703276
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '260.2.bf.a', 'target_level': 260, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 703277
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 37, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '260.2.bk.b', 'target_level': 260, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 703278
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 37, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '260.2.bk.b', 'target_level': 260, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 703279
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 40, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1300.2.bn.b', 'target_level': 1300, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 703280
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 40, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1300.2.bn.b', 'target_level': 1300, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 703281
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1300.2.bs.a', 'target_level': 1300, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 703282
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '1300.2.bs.a', 'source_level': 1300, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1300.2.bs.a', 'target_level': 1300, 'twist_class_label': '260.2.bf.a', 'twist_class_level': 260, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1844400
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 3023690532116, 'p': 2}
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id: 1844401
{'charpoly_factorization': [[[1, 2, 5, 4, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 3}
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id: 1844402
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 3023690532116, 'p': 5}
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id: 1844403
{'charpoly_factorization': [[[1, -6, 11, 6, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 7}
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id: 1844404
{'charpoly_factorization': [[[121, -22, 17, -8, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 11}
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id: 1844405
{'charpoly_factorization': [[[13, 6, 1], 2]], 'hecke_orbit_code': 3023690532116, 'p': 13}
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id: 1844406
{'charpoly_factorization': [[[169, -130, 41, -8, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 17}
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id: 1844407
{'charpoly_factorization': [[[9, -18, 9, 0, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 19}
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id: 1844408
{'charpoly_factorization': [[[1, -14, 53, -4, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 23}
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id: 1844409
{'charpoly_factorization': [[[121, 198, 119, 18, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 29}
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id: 1844410
{'charpoly_factorization': [[[676, -416, 128, -16, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 31}
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id: 1844411
{'charpoly_factorization': [[[1, 6, 11, -6, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 37}
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id: 1844412
{'charpoly_factorization': [[[1, 14, 53, 4, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 41}
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id: 1844413
{'charpoly_factorization': [[[14641, -3146, 365, -28, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 43}
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id: 1844414
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 47}
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id: 1844415
{'charpoly_factorization': [[[676, -520, 200, -20, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 53}
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id: 1844416
{'charpoly_factorization': [[[9801, -594, 153, -24, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 59}
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id: 1844417
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 3023690532116, 'p': 61}
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id: 1844418
{'charpoly_factorization': [[[4761, -1242, 255, -18, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 67}
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id: 1844419
{'charpoly_factorization': [[[169, -130, 41, -8, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 71}
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id: 1844420
{'charpoly_factorization': [[[-12, -12, 1], 2]], 'hecke_orbit_code': 3023690532116, 'p': 73}
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id: 1844421
{'charpoly_factorization': [[[2704, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 79}
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id: 1844422
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 3023690532116, 'p': 83}
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id: 1844423
{'charpoly_factorization': [[[2209, 94, 197, -28, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 89}
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id: 1844424
{'charpoly_factorization': [[[121, 22, 15, -2, 1], 1]], 'hecke_orbit_code': 3023690532116, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 45, 'hecke_orbit': 1, 'label': '1300.2.bs.a', 'level': 1300, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 57760000
{'hecke_orbit_code': 3023690532116, 'n': 1, 'trace_an': 4}
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id: 57760001
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