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mf_newforms • Show schema
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{'Nk2': 10560, 'analytic_conductor': 21.080506133618023, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [2640, 2, [991, 661, 881, 1057, 1201], [1, 2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 1871, 'conrey_indexes': [1871], 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [2, 0, 1]], [23, [2, -4, 1]], [47, [-14, -4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286855694928, '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, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2640.2.k.b', 'level': 2640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '2640.2.k.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(1+\\zeta_{8}^{2}-\\zeta_{8}^{3})q^{3}-\\zeta_{8}^{2}q^{5}+(\\zeta_{8}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2640.2.k', 'trace_display': [0, 4, 0, 0], 'trace_hash': 80959357344393210, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.834', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.916', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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[-22, -8, 0, 8], [0, -23, 2, -23], [22, 8, 0, -8], [0, -28, 20, -28], [-12, 38, 0, -38], [0, -3, 18, -3], [22, 13, 0, -13], [30, -24, 0, 24], [-32, -14, 0, 14], [24, -14, 0, 14], [-76, -3, 0, 3], [0, -34, 8, -34], [-24, 37, 0, -37], [-50, -20, 0, 20], [0, 13, 28, 13], [12, -8, 0, 8], [6, -8, 0, 8], [0, 2, -44, 2], [0, -20, -12, -20], [0, -24, 10, -24], [0, 0, 62, 0], [50, 17, 0, -17], [0, 14, -52, 14], [8, -10, 0, 10], [-20, -38, 0, 38], [0, 12, -54, 12], [0, -52, 8, -52], [0, 0, -2, 0], [0, -40, 0, 40], [0, -31, 0, -31], [-20, 26, 0, -26], [0, -22, -36, -22], [0, -24, 36, -24]], 'char_orbit_index': 11, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 4504286855694928, 'hecke_ring_character_values': [[991, [-1, 0, 0, 0]], [661, [1, 0, 0, 0]], [881, [-1, 0, 0, 0]], [1057, [1, 0, 0, 0]], [1201, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '2640.2.k.b', 'level': 2640, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 10560, 'analytic_conductor': 21.080506133618023, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 2, 'char_parity': 1, 'char_values': [2640, 2, [991, 661, 881, 1057, 1201], [1, 2, 1, 2, 2]], 'conrey_index': 1871, 'cusp_dim': 552, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 23, 47], 'hecke_orbit_code': 687228324432, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8, 20, 20], 'label': '2640.2.k', 'level': 2640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 600, 'mf_new_dim': 80, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 80, 'sturm_bound': 1152, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 976789
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '2640.2.k.b', 'source_level': 2640, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '2640.2.k.a', 'target_level': 2640, 'twist_class_label': '2640.2.k.a', 'twist_class_level': 2640, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 976790
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '2640.2.k.b', 'source_level': 2640, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '2640.2.k.a', 'target_level': 2640, 'twist_class_label': '2640.2.k.a', 'twist_class_level': 2640, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 976791
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '2640.2.k.b', 'source_level': 2640, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '2640.2.k.b', 'target_level': 2640, 'twist_class_label': '2640.2.k.a', 'twist_class_level': 2640, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 976792
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '2640.2.k.b', 'source_level': 2640, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '2640.2.k.b', 'target_level': 2640, 'twist_class_label': '2640.2.k.a', 'twist_class_level': 2640, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2771775
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504286855694928, 'p': 2}
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id: 2771776
{'charpoly_factorization': [[[9, -12, 8, -4, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 3}
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id: 2771777
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 5}
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id: 2771778
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 7}
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id: 2771779
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 4504286855694928, 'p': 11}
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id: 2771780
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 13}
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id: 2771781
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 17}
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id: 2771782
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 19}
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id: 2771783
{'charpoly_factorization': [[[2, -4, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 23}
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id: 2771784
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 29}
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id: 2771785
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 31}
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id: 2771786
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 37}
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id: 2771787
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 41}
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id: 2771788
{'charpoly_factorization': [[[4, 0, 68, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 43}
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id: 2771789
{'charpoly_factorization': [[[-14, -4, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 47}
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id: 2771790
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 53}
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id: 2771791
{'charpoly_factorization': [[[32, -16, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 59}
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id: 2771792
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 61}
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id: 2771793
{'charpoly_factorization': [[[1156, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 67}
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id: 2771794
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 71}
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id: 2771795
{'charpoly_factorization': [[[56, -16, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 73}
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id: 2771796
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 79}
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id: 2771797
{'charpoly_factorization': [[[-82, 8, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 83}
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id: 2771798
{'charpoly_factorization': [[[1024, 0, 192, 0, 1], 1]], 'hecke_orbit_code': 4504286855694928, 'p': 89}
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id: 2771799
{'charpoly_factorization': [[[4, -12, 1], 2]], 'hecke_orbit_code': 4504286855694928, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '2640.2.k.b', 'level': 2640, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 91884000
{'hecke_orbit_code': 4504286855694928, 'n': 1, 'trace_an': 4}
-
id: 91884001
{'hecke_orbit_code': 4504286855694928, 'n': 2, 'trace_an': 0}
-
id: 91884002
{'hecke_orbit_code': 4504286855694928, 'n': 3, 'trace_an': 4}
-
id: 91884003
{'hecke_orbit_code': 4504286855694928, 'n': 4, 'trace_an': 0}
-
id: 91884004
{'hecke_orbit_code': 4504286855694928, 'n': 5, 'trace_an': 0}
-
id: 91884005
{'hecke_orbit_code': 4504286855694928, 'n': 6, 'trace_an': 0}
-
id: 91884006
{'hecke_orbit_code': 4504286855694928, 'n': 7, 'trace_an': 0}
-
id: 91884007
{'hecke_orbit_code': 4504286855694928, 'n': 8, 'trace_an': 0}
-
id: 91884008
{'hecke_orbit_code': 4504286855694928, 'n': 9, 'trace_an': 0}
-
id: 91884009
{'hecke_orbit_code': 4504286855694928, 'n': 10, 'trace_an': 0}
-
id: 91884010
{'hecke_orbit_code': 4504286855694928, 'n': 11, 'trace_an': -4}
-
id: 91884011
{'hecke_orbit_code': 4504286855694928, 'n': 12, 'trace_an': 0}
-
id: 91884012
{'hecke_orbit_code': 4504286855694928, 'n': 13, 'trace_an': 0}
-
id: 91884013
{'hecke_orbit_code': 4504286855694928, 'n': 14, 'trace_an': 0}
-
id: 91884014
{'hecke_orbit_code': 4504286855694928, 'n': 15, 'trace_an': 4}
-
id: 91884015
{'hecke_orbit_code': 4504286855694928, 'n': 16, 'trace_an': 0}
-
id: 91884016
{'hecke_orbit_code': 4504286855694928, 'n': 17, 'trace_an': 0}
-
id: 91884017
{'hecke_orbit_code': 4504286855694928, 'n': 18, 'trace_an': 0}
-
id: 91884018
{'hecke_orbit_code': 4504286855694928, 'n': 19, 'trace_an': 0}
-
id: 91884019
{'hecke_orbit_code': 4504286855694928, 'n': 20, 'trace_an': 0}
-
id: 91884020
{'hecke_orbit_code': 4504286855694928, 'n': 21, 'trace_an': 4}
-
id: 91884021
{'hecke_orbit_code': 4504286855694928, 'n': 22, 'trace_an': 0}
-
id: 91884022
{'hecke_orbit_code': 4504286855694928, 'n': 23, 'trace_an': 8}
-
id: 91884023
{'hecke_orbit_code': 4504286855694928, 'n': 24, 'trace_an': 0}
-
id: 91884024
{'hecke_orbit_code': 4504286855694928, 'n': 25, 'trace_an': -4}
-
id: 91884025
{'hecke_orbit_code': 4504286855694928, 'n': 26, 'trace_an': 0}
-
id: 91884026
{'hecke_orbit_code': 4504286855694928, 'n': 27, 'trace_an': 4}
-
id: 91884027
{'hecke_orbit_code': 4504286855694928, 'n': 28, 'trace_an': 0}
-
id: 91884028
{'hecke_orbit_code': 4504286855694928, 'n': 29, 'trace_an': 0}
-
id: 91884029
{'hecke_orbit_code': 4504286855694928, 'n': 30, 'trace_an': 0}
-
id: 91884030
{'hecke_orbit_code': 4504286855694928, 'n': 31, 'trace_an': 0}
-
id: 91884031
{'hecke_orbit_code': 4504286855694928, 'n': 32, 'trace_an': 0}
-
id: 91884032
{'hecke_orbit_code': 4504286855694928, 'n': 33, 'trace_an': -4}
-
id: 91884033
{'hecke_orbit_code': 4504286855694928, 'n': 34, 'trace_an': 0}
-
id: 91884034
{'hecke_orbit_code': 4504286855694928, 'n': 35, 'trace_an': 0}
-
id: 91884035
{'hecke_orbit_code': 4504286855694928, 'n': 36, 'trace_an': 0}
-
id: 91884036
{'hecke_orbit_code': 4504286855694928, 'n': 37, 'trace_an': -8}
-
id: 91884037
{'hecke_orbit_code': 4504286855694928, 'n': 38, 'trace_an': 0}
-
id: 91884038
{'hecke_orbit_code': 4504286855694928, 'n': 39, 'trace_an': -8}
-
id: 91884039
{'hecke_orbit_code': 4504286855694928, 'n': 40, 'trace_an': 0}
-
id: 91884040
{'hecke_orbit_code': 4504286855694928, 'n': 41, 'trace_an': 0}
-
id: 91884041
{'hecke_orbit_code': 4504286855694928, 'n': 42, 'trace_an': 0}
-
id: 91884042
{'hecke_orbit_code': 4504286855694928, 'n': 43, 'trace_an': 0}
-
id: 91884043
{'hecke_orbit_code': 4504286855694928, 'n': 44, 'trace_an': 0}
-
id: 91884044
{'hecke_orbit_code': 4504286855694928, 'n': 45, 'trace_an': 4}
-
id: 91884045
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