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{'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [13, -1]], 'atkin_lehner_string': '+++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, 2, 5, 1]], [11, [16, -12, -1, 1]], [17, [148, -50, -1, 1]], [19, [-56, -16, 4, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147344480, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6240.2.a.bw', 'level': 6240, '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': '6240.2.a.bw', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+(-2-\\beta _{2})q^{7}+q^{9}-\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6240.2.a', 'trace_display': [0, -3, -3, -5], 'trace_hash': 87103316799636804, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.192', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.703', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.636', 'prec': 17}, {'__RealLiteral__': 0, 'data': '300.200', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [3, 0, -3, 0, -3, 0, -5, 0, 3, 0, 1, 0, 3, 0, 3, 0, 1, 0, -4, 0, 5, 0, -3, 0, 3, 0, -3, 0, 2, 0, -12, 0, -1, 0, 5, 0, 7, 0, -3, 0, -5, 0, 2, 0, -3, 0, -4, 0, 0, 0, -1, 0, 3, 0, -1, 0, 4, 0, 0, 0, -3, 0, -5, 0, -3, 0, 0, 0, 3, 0, -11, 0, 4, 0, -3, 0, 1, 0, -25, 0, 3, 0, 20, 0, -1, 0, -2, 0, -7, 0, -5, 0, 12, 0, 4, 0, 23, 0, 1, 0, -10, 0, -28, 0, -5, 0, 15, 0, 26, 0, -7, 0, 12, 0, 3, 0, 3, 0, -9, 0, -8, 0, 5, 0, -3, 0, -16, 0, -2, 0, -14, 0, 22, 0, 3, 0, 10, 0, -7, 0, 4, 0, 1, 0, -2, 0, 0, 0, 21, 0, -12, 0, 1, 0, 12, 0, 10, 0, -3, 0, 43, 0, 9, 0, 1, 0, 12, 0, 3, 0, -4, 0, 6, 0, -5, 0, 0, 0, 16, 0, -19, 0, 3, 0, -7, 0, 47, 0, 5, 0, -2, 0, 37, 0, 3, 0, 30, 0, 0, 0, 0, 0, 32, 0, 5, 0, -3, 0, 26, 0, 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mf_hecke_nf • Show schema
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'hecke_orbit_code': 216172782147344480, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, -1], [6, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [-3, 1, 1], [-3, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '6240.2.a.bw', 'level': 6240, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 6, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 4], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 8, 4], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 7, 4]], 'ALdims': [6, 6, 7, 5, 7, 5, 4, 8, 6, 6, 5, 7, 5, 7, 8, 4], 'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6240, 1, [1951, 2341, 2081, 2497, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 96, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33560672, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '6240.2.a', 'level': 6240, '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': 1376, 'mf_new_dim': 96, 'num_forms': 58, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1294732
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 49, 'source_is_minimal': True, 'source_label': '6240.2.a.bw', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 49, 'target_is_minimal': True, 'target_label': '6240.2.a.bw', 'target_level': 6240, 'twist_class_label': '6240.2.a.bw', 'twist_class_level': 6240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1294733
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 49, 'source_is_minimal': True, 'source_label': '6240.2.a.bw', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': True, 'target_label': '6240.2.a.cb', 'target_level': 6240, 'twist_class_label': '6240.2.a.bw', 'twist_class_level': 6240, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4130425
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 2}
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id: 4130426
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 3}
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id: 4130427
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 5}
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id: 4130428
{'charpoly_factorization': [[[-4, 2, 5, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 7}
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id: 4130429
{'charpoly_factorization': [[[16, -12, -1, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 11}
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id: 4130430
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 13}
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id: 4130431
{'charpoly_factorization': [[[148, -50, -1, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 17}
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id: 4130432
{'charpoly_factorization': [[[-56, -16, 4, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 19}
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id: 4130433
{'charpoly_factorization': [[[-4, -54, 3, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 23}
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id: 4130434
{'charpoly_factorization': [[[224, -60, -2, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 29}
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id: 4130435
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 31}
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id: 4130436
{'charpoly_factorization': [[[28, 4, -7, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 37}
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id: 4130437
{'charpoly_factorization': [[[-4, -4, 5, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 41}
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id: 4130438
{'charpoly_factorization': [[[128, -48, -2, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 43}
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id: 4130439
{'charpoly_factorization': [[[-256, -96, 4, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 47}
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id: 4130440
{'charpoly_factorization': [[[-212, -108, -3, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 53}
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id: 4130441
{'charpoly_factorization': [[[-64, -64, 0, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 59}
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id: 4130442
{'charpoly_factorization': [[[-148, -40, 3, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 61}
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id: 4130443
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 216172782147344480, 'p': 67}
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id: 4130444
{'charpoly_factorization': [[[-16, 8, 11, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 71}
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id: 4130445
{'charpoly_factorization': [[[904, -152, -4, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 73}
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id: 4130446
{'charpoly_factorization': [[[256, 176, 25, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 79}
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id: 4130447
{'charpoly_factorization': [[[256, 32, -20, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 83}
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id: 4130448
{'charpoly_factorization': [[[-116, -16, 7, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 89}
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id: 4130449
{'charpoly_factorization': [[[-404, 170, -23, 1], 1]], 'hecke_orbit_code': 216172782147344480, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '6240.2.a.bw', 'level': 6240, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276904000
{'hecke_orbit_code': 216172782147344480, 'n': 1, 'trace_an': 3}
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id: 276904001
{'hecke_orbit_code': 216172782147344480, 'n': 2, 'trace_an': 0}
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id: 276904002
{'hecke_orbit_code': 216172782147344480, 'n': 3, 'trace_an': -3}
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id: 276904003
{'hecke_orbit_code': 216172782147344480, 'n': 4, 'trace_an': 0}
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id: 276904004
{'hecke_orbit_code': 216172782147344480, 'n': 5, 'trace_an': -3}
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id: 276904005
{'hecke_orbit_code': 216172782147344480, 'n': 6, 'trace_an': 0}
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id: 276904006
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