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mf_newforms • Show schema
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{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 152, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1216, 6, [191, 837, 705], [3, 3, 5]], 'cm_discs': [], 'conrey_index': 31, 'conrey_indexes': [31, 863], '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, [3, 3, 1]], [5, [4, -12, 14, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504836611507392, 'hecke_ring_generator_nbound': 5, '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, 152, 15, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1216.2.s.b', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '1216.2.s.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 15, 'qexp_display': 'q+(-2+\\zeta_{12}^{2})q^{3}+(2-\\zeta_{12}-\\zeta_{12}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1216.2.s', 'trace_display': [0, -6, 6, 0], 'trace_hash': 132005257842967257, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.857', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.566', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.253', 'prec': 20}, {'__RealLiteral__': 0, 'data': '65.758', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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4, 'label': '1216.2.s.b', 'level': 1216, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 4864, 'analytic_conductor': 9.709808885787695, 'char_conductor': 152, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 6, 'char_parity': 1, 'char_values': [1216, 6, [191, 837, 705], [3, 3, 5]], 'conrey_index': 31, 'cusp_dim': 296, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 1236984136896, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 12, 12, 32], 'label': '1216.2.s', 'level': 1216, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 344, 'mf_new_dim': 80, 'num_forms': 9, 'prim_orbit_index': 15, 'relative_dim': 40, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 677353
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1216.2.s.a', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 677354
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1216.2.s.a', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 677355
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1216.2.s.b', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 677356
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1216.2.s.b', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '152.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 677357
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1216.2.s.e', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 677358
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1216.2.s.e', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '76.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 677359
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1216.2.s.f', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 677360
{'conductor': 152, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 19, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1216.2.s.b', 'source_level': 1216, 'target_char_orbit': 19, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1216.2.s.f', 'target_level': 1216, 'twist_class_label': '1216.2.s.a', 'twist_class_level': 1216, 'twisting_char_label': '152.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1775425
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504836611507392, 'p': 2}
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id: 1775426
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 3}
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id: 1775427
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 5}
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id: 1775428
{'charpoly_factorization': [[[36, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 7}
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id: 1775429
{'charpoly_factorization': [[[-11, 2, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 11}
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id: 1775430
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504836611507392, 'p': 13}
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id: 1775431
{'charpoly_factorization': [[[64, 32, 24, -4, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 17}
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id: 1775432
{'charpoly_factorization': [[[19, 1, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 19}
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id: 1775433
{'charpoly_factorization': [[[676, -468, 134, -18, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 23}
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id: 1775434
{'charpoly_factorization': [[[324, 108, 54, -6, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 29}
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id: 1775435
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 31}
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id: 1775436
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 37}
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id: 1775437
{'charpoly_factorization': [[[1089, 198, -21, -6, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 41}
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id: 1775438
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 43}
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id: 1775439
{'charpoly_factorization': [[[5476, -2220, 374, -30, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 47}
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id: 1775440
{'charpoly_factorization': [[[576, 288, 120, 12, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 53}
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id: 1775441
{'charpoly_factorization': [[[81, -162, 99, 18, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 59}
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id: 1775442
{'charpoly_factorization': [[[484, -396, 86, 18, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 61}
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id: 1775443
{'charpoly_factorization': [[[1089, -198, -21, 6, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 67}
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id: 1775444
{'charpoly_factorization': [[[576, -288, 120, -12, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 71}
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id: 1775445
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 73}
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id: 1775446
{'charpoly_factorization': [[[5184, 864, 216, -12, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 79}
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id: 1775447
{'charpoly_factorization': [[[-59, 14, 1], 2]], 'hecke_orbit_code': 4504836611507392, 'p': 83}
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id: 1775448
{'charpoly_factorization': [[[144, 288, 204, 24, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 89}
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id: 1775449
{'charpoly_factorization': [[[1089, -198, -21, 6, 1], 1]], 'hecke_orbit_code': 4504836611507392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 19, 'hecke_orbit': 2, 'label': '1216.2.s.b', 'level': 1216, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 95461000
{'hecke_orbit_code': 4504836611507392, 'n': 1, 'trace_an': 4}
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id: 95461001
{'hecke_orbit_code': 4504836611507392, 'n': 2, 'trace_an': 0}
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id: 95461002
{'hecke_orbit_code': 4504836611507392, 'n': 3, 'trace_an': -6}
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