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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, [8, -16, 0, 1]], [11, [-32, -24, 2, 1]], [17, [8, 0, -8, 1]], [19, [8, -16, 0, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774714976, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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.bx', '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.bx', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-\\beta _{1}q^{7}+q^{9}+(-1-\\beta _{1}+\\cdots)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, 0], 'trace_hash': 2211343161905556112, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.971', 'prec': 17}, 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mf_hecke_nf • Show schema
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'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 2, 0], [-5, 0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '6240.2.a.bx', '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: 1294734
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': True, 'source_label': '6240.2.a.bx', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 50, 'target_is_minimal': True, 'target_label': '6240.2.a.bx', 'target_level': 6240, 'twist_class_label': '6240.2.a.bx', 'twist_class_level': 6240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1294735
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 50, 'source_is_minimal': True, 'source_label': '6240.2.a.bx', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 53, 'target_is_minimal': True, 'target_label': '6240.2.a.ca', 'target_level': 6240, 'twist_class_label': '6240.2.a.bx', 'twist_class_level': 6240, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4130450
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 2}
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id: 4130451
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 3}
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id: 4130452
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 5}
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id: 4130453
{'charpoly_factorization': [[[8, -16, 0, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 7}
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id: 4130454
{'charpoly_factorization': [[[-32, -24, 2, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 11}
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id: 4130455
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 13}
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id: 4130456
{'charpoly_factorization': [[[8, 0, -8, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 17}
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id: 4130457
{'charpoly_factorization': [[[8, -16, 0, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 19}
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id: 4130458
{'charpoly_factorization': [[[64, 12, -10, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 23}
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id: 4130459
{'charpoly_factorization': [[[-56, -16, 4, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 29}
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id: 4130460
{'charpoly_factorization': [[[128, -48, -2, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 31}
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id: 4130461
{'charpoly_factorization': [[[296, -84, -2, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 37}
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id: 4130462
{'charpoly_factorization': [[[-56, -52, 6, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 41}
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id: 4130463
{'charpoly_factorization': [[[8, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 43}
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id: 4130464
{'charpoly_factorization': [[[-512, -128, 2, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 47}
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id: 4130465
{'charpoly_factorization': [[[184, -52, -6, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 53}
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id: 4130466
{'charpoly_factorization': [[[416, 200, 26, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 59}
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id: 4130467
{'charpoly_factorization': [[[-6, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 61}
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id: 4130468
{'charpoly_factorization': [[[-32, -16, 10, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 67}
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id: 4130469
{'charpoly_factorization': [[[-1184, -160, 6, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 71}
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id: 4130470
{'charpoly_factorization': [[[-8, 0, 8, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 73}
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id: 4130471
{'charpoly_factorization': [[[-1024, -192, 4, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 79}
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id: 4130472
{'charpoly_factorization': [[[-512, -160, -6, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 83}
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id: 4130473
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 220676381774714976, 'p': 89}
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id: 4130474
{'charpoly_factorization': [[[-808, -192, 0, 1], 1]], 'hecke_orbit_code': 220676381774714976, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '6240.2.a.bx', '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: 277203000
{'hecke_orbit_code': 220676381774714976, 'n': 1, 'trace_an': 3}
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id: 277203001
{'hecke_orbit_code': 220676381774714976, 'n': 2, 'trace_an': 0}
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id: 277203002
{'hecke_orbit_code': 220676381774714976, 'n': 3, 'trace_an': -3}
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id: 277203003
{'hecke_orbit_code': 220676381774714976, 'n': 4, 'trace_an': 0}
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id: 277203004
{'hecke_orbit_code': 220676381774714976, 'n': 5, 'trace_an': -3}
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id: 277203005
{'hecke_orbit_code': 220676381774714976, 'n': 6, 'trace_an': 0}
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id: 277203006
{'hecke_orbit_code': 220676381774714976, 'n': 7, 'trace_an': 0}
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id: 277203007
{'hecke_orbit_code': 220676381774714976, 'n': 8, 'trace_an': 0}
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id: 277203008
{'hecke_orbit_code': 220676381774714976, 'n': 9, 'trace_an': 3}
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id: 277203009
{'hecke_orbit_code': 220676381774714976, 'n': 10, 'trace_an': 0}
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id: 277203010
{'hecke_orbit_code': 220676381774714976, 'n': 11, 'trace_an': -2}
-
id: 277203011
{'hecke_orbit_code': 220676381774714976, 'n': 12, 'trace_an': 0}
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id: 277203012
{'hecke_orbit_code': 220676381774714976, 'n': 13, 'trace_an': -3}
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id: 277203013
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{'hecke_orbit_code': 220676381774714976, 'n': 1000, 'trace_an': 0}