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mf_newforms • Show schema
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [400, 0, 176, 0, 24, 0, 1]], [11, [16, 0, 32, 0, 16, 0, 1]], [17, [-32, -16, 4, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554475480453392, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4368.2.h.p', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.h.d', 'nf_label': '6.0.350464.1', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{3}+(-\\beta _{1}+\\beta _{3}-\\beta _{4}-\\beta _{5})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.h', 'trace_display': [0, 6, 0, 0], 'trace_hash': 2075094831651827876, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.569', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
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'level': 4368, 'maxp': 2999, 'weight': 2}
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 872, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 481069895952, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8, 10, 10, 10], 'label': '4368.2.h', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 84, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 84, 'sturm_bound': 1792, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 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216, 0, 0, 0, -560, 0, 0, 0, 0, 0, 200, 0, -384, 0, 80, 0, 384, 0, 0, 0, 0, 0, 96, 0, 0, 0, 92, 0, 0, 0, 144, 0, 0, 0, 0, 0, -296, 0, -96, 0, -784, 0, -192, 0, 0, 0, 0, 0, 208, 0, 0, 0, 392, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 32, 0, 224, 0, 368, 0, 0, 0, 0, 0, 256, 0, 0, 0, -224, 0, 0, 0, -64, 0, 0, 0, 0, 0, 992, 0, -8, 0, -640, 0, 544, 0, 0, 0, 0, 0, -1040, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1202759
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '4368.2.h.p', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2184.2.h.d', 'target_level': 2184, 'twist_class_label': '2184.2.h.d', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202760
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '4368.2.h.p', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2184.2.h.d', 'target_level': 2184, 'twist_class_label': '2184.2.h.d', 'twist_class_level': 2184, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202761
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '4368.2.h.p', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4368.2.h.p', 'target_level': 4368, 'twist_class_label': '2184.2.h.d', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202762
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 6, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '4368.2.h.p', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4368.2.h.p', 'target_level': 4368, 'twist_class_label': '2184.2.h.d', 'twist_class_level': 2184, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3581775
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 67554475480453392, 'p': 2}
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id: 3581776
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 67554475480453392, 'p': 3}
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id: 3581777
{'charpoly_factorization': [[[400, 0, 176, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 5}
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id: 3581778
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 67554475480453392, 'p': 7}
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id: 3581779
{'charpoly_factorization': [[[16, 0, 32, 0, 16, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 11}
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id: 3581780
{'charpoly_factorization': [[[2197, -338, 351, -44, 27, -2, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 13}
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id: 3581781
{'charpoly_factorization': [[[-32, -16, 4, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 17}
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id: 3581782
{'charpoly_factorization': [[[1024, 0, 768, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 19}
-
id: 3581783
{'charpoly_factorization': [[[-40, -4, 6, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 23}
-
id: 3581784
{'charpoly_factorization': [[[248, -52, -6, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 29}
-
id: 3581785
{'charpoly_factorization': [[[16384, 0, 3072, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 31}
-
id: 3581786
{'charpoly_factorization': [[[1024, 0, 768, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 37}
-
id: 3581787
{'charpoly_factorization': [[[16, 0, 80, 0, 40, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 41}
-
id: 3581788
{'charpoly_factorization': [[[-256, -64, 8, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 43}
-
id: 3581789
{'charpoly_factorization': [[[400, 0, 384, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 47}
-
id: 3581790
{'charpoly_factorization': [[[-40, -52, 2, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 53}
-
id: 3581791
{'charpoly_factorization': [[[364816, 0, 15680, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 59}
-
id: 3581792
{'charpoly_factorization': [[[296, 148, 22, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 61}
-
id: 3581793
{'charpoly_factorization': [[[1024, 0, 1280, 0, 160, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 67}
-
id: 3581794
{'charpoly_factorization': [[[583696, 0, 22752, 0, 272, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 71}
-
id: 3581795
{'charpoly_factorization': [[[256, 0, 1088, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 73}
-
id: 3581796
{'charpoly_factorization': [[[-432, -72, 12, 1], 2]], 'hecke_orbit_code': 67554475480453392, 'p': 79}
-
id: 3581797
{'charpoly_factorization': [[[16, 0, 17408, 0, 268, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 83}
-
id: 3581798
{'charpoly_factorization': [[[1227664, 0, 41264, 0, 376, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 89}
-
id: 3581799
{'charpoly_factorization': [[[256, 0, 16128, 0, 320, 0, 1], 1]], 'hecke_orbit_code': 67554475480453392, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 16, 'label': '4368.2.h.p', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237347000
{'hecke_orbit_code': 67554475480453392, 'n': 1, 'trace_an': 6}
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id: 237347001
{'hecke_orbit_code': 67554475480453392, 'n': 2, 'trace_an': 0}
-
id: 237347002
{'hecke_orbit_code': 67554475480453392, 'n': 3, 'trace_an': 6}
-
id: 237347003
{'hecke_orbit_code': 67554475480453392, 'n': 4, 'trace_an': 0}
-
id: 237347004
{'hecke_orbit_code': 67554475480453392, 'n': 5, 'trace_an': 0}
-
id: 237347005
{'hecke_orbit_code': 67554475480453392, 'n': 6, 'trace_an': 0}
-
id: 237347006
{'hecke_orbit_code': 67554475480453392, 'n': 7, 'trace_an': 0}
-
id: 237347007
{'hecke_orbit_code': 67554475480453392, 'n': 8, 'trace_an': 0}
-
id: 237347008
{'hecke_orbit_code': 67554475480453392, 'n': 9, 'trace_an': 6}
-
id: 237347009
{'hecke_orbit_code': 67554475480453392, 'n': 10, 'trace_an': 0}
-
id: 237347010
{'hecke_orbit_code': 67554475480453392, 'n': 11, 'trace_an': 0}
-
id: 237347011
{'hecke_orbit_code': 67554475480453392, 'n': 12, 'trace_an': 0}
-
id: 237347012
{'hecke_orbit_code': 67554475480453392, 'n': 13, 'trace_an': 2}
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id: 237347013
{'hecke_orbit_code': 67554475480453392, 'n': 14, 'trace_an': 0}
-
id: 237347014
{'hecke_orbit_code': 67554475480453392, 'n': 15, 'trace_an': 0}
-
id: 237347015
{'hecke_orbit_code': 67554475480453392, 'n': 16, 'trace_an': 0}
-
id: 237347016
{'hecke_orbit_code': 67554475480453392, 'n': 17, 'trace_an': -8}
-
id: 237347017
{'hecke_orbit_code': 67554475480453392, 'n': 18, 'trace_an': 0}
-
id: 237347018
{'hecke_orbit_code': 67554475480453392, 'n': 19, 'trace_an': 0}
-
id: 237347019
{'hecke_orbit_code': 67554475480453392, 'n': 20, 'trace_an': 0}
-
id: 237347020
{'hecke_orbit_code': 67554475480453392, 'n': 21, 'trace_an': 0}
-
id: 237347021
{'hecke_orbit_code': 67554475480453392, 'n': 22, 'trace_an': 0}
-
id: 237347022
{'hecke_orbit_code': 67554475480453392, 'n': 23, 'trace_an': -12}
-
id: 237347023
{'hecke_orbit_code': 67554475480453392, 'n': 24, 'trace_an': 0}
-
id: 237347024
{'hecke_orbit_code': 67554475480453392, 'n': 25, 'trace_an': -18}
-
id: 237347025
{'hecke_orbit_code': 67554475480453392, 'n': 26, 'trace_an': 0}
-
id: 237347026
{'hecke_orbit_code': 67554475480453392, 'n': 27, 'trace_an': 6}
-
id: 237347027
{'hecke_orbit_code': 67554475480453392, 'n': 28, 'trace_an': 0}
-
id: 237347028
{'hecke_orbit_code': 67554475480453392, 'n': 29, 'trace_an': 12}
-
id: 237347029
{'hecke_orbit_code': 67554475480453392, 'n': 30, 'trace_an': 0}
-
id: 237347030
{'hecke_orbit_code': 67554475480453392, 'n': 31, 'trace_an': 0}
-
id: 237347031
{'hecke_orbit_code': 67554475480453392, 'n': 32, 'trace_an': 0}
-
id: 237347032
{'hecke_orbit_code': 67554475480453392, 'n': 33, 'trace_an': 0}
-
id: 237347033
{'hecke_orbit_code': 67554475480453392, 'n': 34, 'trace_an': 0}
-
id: 237347034
{'hecke_orbit_code': 67554475480453392, 'n': 35, 'trace_an': 8}
-
id: 237347035
{'hecke_orbit_code': 67554475480453392, 'n': 36, 'trace_an': 0}
-
id: 237347036
{'hecke_orbit_code': 67554475480453392, 'n': 37, 'trace_an': 0}
-
id: 237347037
{'hecke_orbit_code': 67554475480453392, 'n': 38, 'trace_an': 0}
-
id: 237347038
{'hecke_orbit_code': 67554475480453392, 'n': 39, 'trace_an': 2}
-
id: 237347039
{'hecke_orbit_code': 67554475480453392, 'n': 40, 'trace_an': 0}
-
id: 237347040
{'hecke_orbit_code': 67554475480453392, 'n': 41, 'trace_an': 0}
-
id: 237347041
{'hecke_orbit_code': 67554475480453392, 'n': 42, 'trace_an': 0}
-
id: 237347042
{'hecke_orbit_code': 67554475480453392, 'n': 43, 'trace_an': -16}
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id: 237347043
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