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{'Nk2': 24960, 'analytic_conductor': 49.82665086127896, 'analytic_rank': 1, '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': 2, 'field_disc': 57, 'field_disc_factorization': [[3, 1], [19, 1]], 'field_poly': [-14, -1, 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, [-14, 1, 1]], [11, [-12, 3, 1]], [17, [-8, 5, 1]], [19, [-2, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109416544, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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.bg', '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.bg', 'nf_label': '2.2.57.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}-\\beta q^{7}+q^{9}+(-2+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6240.2.a', 'trace_display': [0, -2, -2, -1], 'trace_hash': 113542497563230330, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.074', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.515', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '72.303', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 0, -2, 0, -2, 0, -1, 0, 2, 0, -3, 0, 2, 0, 2, 0, -5, 0, 4, 0, 1, 0, -7, 0, 2, 0, -2, 0, 0, 0, 8, 0, 3, 0, 1, 0, 9, 0, -2, 0, 9, 0, -2, 0, -2, 0, 8, 0, 15, 0, 5, 0, 9, 0, 3, 0, -4, 0, -8, 0, -5, 0, -1, 0, -2, 0, -16, 0, 7, 0, -11, 0, -10, 0, -2, 0, -27, 0, -21, 0, 2, 0, -24, 0, 5, 0, 0, 0, -9, 0, -1, 0, -8, 0, -4, 0, 21, 0, -3, 0, -4, 0, 24, 0, -1, 0, -13, 0, 32, 0, -9, 0, 14, 0, 7, 0, 2, 0, 31, 0, 11, 0, -9, 0, -2, 0, 12, 0, 2, 0, 22, 0, -2, 0, 2, 0, 20, 0, -23, 0, -8, 0, -3, 0, 0, 0, -15, 0, 3, 0, -8, 0, -5, 0, -8, 0, -28, 0, -9, 0, -25, 0, -35, 0, -3, 0, 0, 0, 2, 0, 4, 0, -16, 0, -1, 0, 8, 0, -12, 0, 3, 0, 5, 0, -9, 0, -21, 0, 1, 0, 6, 0, 3, 0, 2, 0, 12, 0, 0, 0, 16, 0, 0, 0, -9, 0, -7, 0, -6, 0, -32, 0, 11, 0, 2, 0, -4, 0, 10, 0, -5, 0, -26, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [-1, 0], [0, 0], [0, -1], [0, 0], [1, 0], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-2, -1], [0, 0], [2, 0], [0, 0], [0, 1], [0, 0], [-4, 1], [0, 0], [1, 0], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [2, -1], [0, 0], [0, 1], [0, 0], [4, 1], [0, 0], [-1, 0], [0, 0], [4, 1], [0, 0], [0, -2], [0, 0], [-1, 0], [0, 0], [4, 0], [0, 0], [7, 1], [0, 0], [2, 1], [0, 0], [4, 1], [0, 0], [2, -1], [0, 0], [-2, 0], [0, 0], [-4, 0], [0, 0], [-4, 3], [0, 0], [0, -1], [0, 0], [-1, 0], [0, 0], [-8, 0], [0, 0], [4, -1], [0, 0], [-6, 1], [0, 0], [-4, -2], [0, 0], [-1, 0], [0, 0], [-14, 1], [0, 0], [-10, -1], [0, 0], [1, 0], [0, 0], [-12, 0], [0, 0], [2, 1], [0, 0], [0, 0], [0, 0], [-4, -1], [0, 0], [0, -1], [0, 0], [-4, 0], [0, 0], [-2, 0], [0, 0], [10, 1], [0, 0], [-2, 1], [0, 0]], 'ap': [[0, 0], [-1, 0], [-1, 0], [0, -1], [-2, 1], [1, 0], [-2, -1], [2, 0], [-4, 1], [0, 0], [4, 0], [4, 1], [4, 1], [0, -2], [4, 0], [4, 1], [-4, 0], 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6], [-4, -6], [70, -2], [42, -9], [16, 1], [10, 6], [4, -26]], 'char_orbit_index': 1, 'field_poly': [-14, -1, 1], 'hecke_orbit_code': 144115188109416544, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '6240.2.a.bg', '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: 1294700
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '6240.2.a.bg', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': True, 'target_label': '6240.2.a.bg', 'target_level': 6240, 'twist_class_label': '6240.2.a.bg', 'twist_class_level': 6240, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1294701
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': True, 'source_label': '6240.2.a.bg', 'source_level': 6240, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': True, 'target_label': '6240.2.a.bs', 'target_level': 6240, 'twist_class_label': '6240.2.a.bg', '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: 4130200
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 2}
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id: 4130201
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 3}
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id: 4130202
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 5}
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id: 4130203
{'charpoly_factorization': [[[-14, 1, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 7}
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id: 4130204
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 11}
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id: 4130205
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 13}
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id: 4130206
{'charpoly_factorization': [[[-8, 5, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 17}
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id: 4130207
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 19}
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id: 4130208
{'charpoly_factorization': [[[-2, 7, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 23}
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id: 4130209
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 29}
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id: 4130210
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 31}
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id: 4130211
{'charpoly_factorization': [[[6, -9, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 37}
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id: 4130212
{'charpoly_factorization': [[[6, -9, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 41}
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id: 4130213
{'charpoly_factorization': [[[-56, 2, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 43}
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id: 4130214
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 47}
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id: 4130215
{'charpoly_factorization': [[[6, -9, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 53}
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id: 4130216
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 59}
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id: 4130217
{'charpoly_factorization': [[[-122, 5, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 61}
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id: 4130218
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 67}
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id: 4130219
{'charpoly_factorization': [[[16, 11, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 71}
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id: 4130220
{'charpoly_factorization': [[[-32, 10, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 73}
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id: 4130221
{'charpoly_factorization': [[[96, 21, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 79}
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id: 4130222
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 144115188109416544, 'p': 83}
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id: 4130223
{'charpoly_factorization': [[[6, 9, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 89}
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id: 4130224
{'charpoly_factorization': [[[96, -21, 1], 1]], 'hecke_orbit_code': 144115188109416544, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '6240.2.a.bg', '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: 267820000
{'hecke_orbit_code': 144115188109416544, 'n': 1, 'trace_an': 2}
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id: 267820001
{'hecke_orbit_code': 144115188109416544, 'n': 2, 'trace_an': 0}
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id: 267820002
{'hecke_orbit_code': 144115188109416544, 'n': 3, 'trace_an': -2}
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id: 267820003
{'hecke_orbit_code': 144115188109416544, 'n': 4, 'trace_an': 0}
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id: 267820004
{'hecke_orbit_code': 144115188109416544, 'n': 5, 'trace_an': -2}
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id: 267820005
{'hecke_orbit_code': 144115188109416544, 'n': 6, 'trace_an': 0}
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id: 267820006
{'hecke_orbit_code': 144115188109416544, 'n': 7, 'trace_an': -1}
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id: 267820007
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