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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': 10, 'field_disc': -3091979192602624, 'field_disc_factorization': [[-1, 1], [2, 12], [31, 2], [28027, 2]], 'field_poly': [16, 0, 116, 0, 212, 0, 124, 0, 21, 0, 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, [64, 0, 336, 0, 496, 0, 212, 0, 29, 0, 1]], [11, [4096, 0, 12944, 0, 11200, 0, 1576, 0, 73, 0, 1]], [17, [256, -128, -96, 18, 11, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81065274362564880, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], '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.s', '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.g', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{3}+(-\\beta _{1}-\\beta _{6})q^{5}-\\beta _{1}q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.h', 'trace_display': [0, -10, 0, 0], 'trace_hash': 1339980080836056131, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.384', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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0, -14, 17, -17, -4, 0, -4, 0, 0], [-32, 0, 18, -4, 4, 8, 0, -1, 0, 0], [-22, 0, -14, -8, 8, 0, 0, -3, 0, 0], [-2, 0, 7, -6, 6, -1, 0, -3, 0, 0], [0, -19, 0, 19, 19, 0, -9, 0, -12, 5], [-30, 0, 19, -2, 2, -7, 0, -2, 0, 0], [0, 15, 0, -4, -4, 0, 1, 0, -13, 0], [0, 0, -12, 8, -8, 12, 0, 2, 0, 0], [0, 0, 11, 2, -2, 9, 0, 6, 0, 0], [0, 30, 0, 7, 7, 0, -18, 0, -10, -10], [0, -19, 0, -1, -1, 0, -9, 0, -14, 1], [4, 0, -8, -4, 4, 16, 0, -4, 0, 0], [0, -22, 0, -7, -7, 0, -4, 0, -6, -7], [0, -31, 0, 6, 6, 0, -29, 0, -14, -7], [28, 0, -2, -1, 1, -8, 0, 2, 0, 0], [0, 23, 0, -3, -3, 0, -17, 0, -4, -3], [0, 48, 0, -10, -10, 0, 10, 0, 2, 5], [16, 0, 8, 2, -2, -8, 0, -6, 0, 0]], 'char_orbit_index': 8, 'field_poly': [16, 0, 116, 0, 212, 0, 124, 0, 21, 0, 1], 'hecke_orbit_code': 81065274362564880, 'hecke_ring_character_values': [[3823, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1093, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1457, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1249, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2017, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 392, 196, 98, 98, 49, 196, 196, 392, 392], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [-8, 0, 3, -2, 2, 1, 0, 1, 0, 0], [0, -6, 0, -10, -10, 0, 6, 0, -1, 1], [70, 0, -33, 28, -28, -9, 0, -11, 0, 0], [0, 122, 0, 114, 114, 0, -94, 0, 3, -19], [-730, 0, 383, -358, 358, 79, 0, 117, 0, 0], [0, -1782, 0, -1350, -1350, 0, 1274, 0, 45, 279], [8162, 0, -4563, 4462, -4462, -747, 0, -1305, 0, 0], [0, 23582, 0, 16218, 16218, 0, -16354, 0, -1105, -3715]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1004, 0, 632, 0, -296, 0, -89, 0, -5], [808, 0, 632, 0, -296, 0, -89, 0, -5, 0], [-20, 98, -396, 0, -423, 0, -81, 0, -4, 0], [20, 98, 396, 0, 423, 0, 81, 0, 4, 0], [501, 0, 1727, 0, 1318, 0, 243, 0, 12, 0], [0, 2340, 0, 4878, 0, 3186, 0, 559, 0, 27], [-3020, 0, -11580, 0, -7768, 0, -1353, 0, -65, 0], [0, 2628, 0, 11580, 0, 7768, 0, 1353, 0, 65], [0, -11588, 0, -42380, 0, -32240, 0, -5889, 0, -289]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '4368.2.h.s', '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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mf_twists_nf • Show schema
Hide schema
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id: 1202777
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4368.2.h.s', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2184.2.h.g', 'target_level': 2184, 'twist_class_label': '2184.2.h.g', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202778
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4368.2.h.s', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '2184.2.h.g', 'target_level': 2184, 'twist_class_label': '2184.2.h.g', 'twist_class_level': 2184, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202779
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4368.2.h.s', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4368.2.h.s', 'target_level': 4368, 'twist_class_label': '2184.2.h.g', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202780
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '4368.2.h.s', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4368.2.h.s', 'target_level': 4368, 'twist_class_label': '2184.2.h.g', '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: 3581875
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 81065274362564880, 'p': 2}
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id: 3581876
{'charpoly_factorization': [[[1, 1], 10]], 'hecke_orbit_code': 81065274362564880, 'p': 3}
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id: 3581877
{'charpoly_factorization': [[[64, 0, 336, 0, 496, 0, 212, 0, 29, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 5}
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id: 3581878
{'charpoly_factorization': [[[1, 0, 1], 5]], 'hecke_orbit_code': 81065274362564880, 'p': 7}
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id: 3581879
{'charpoly_factorization': [[[4096, 0, 12944, 0, 11200, 0, 1576, 0, 73, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 11}
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id: 3581880
{'charpoly_factorization': [[[371293, 0, -50531, 10816, 2106, -1472, 162, 64, -23, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 13}
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id: 3581881
{'charpoly_factorization': [[[256, -128, -96, 18, 11, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 17}
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id: 3581882
{'charpoly_factorization': [[[39337984, 0, 6546432, 0, 408832, 0, 12224, 0, 177, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 19}
-
id: 3581883
{'charpoly_factorization': [[[-16, 64, 96, -8, -9, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 23}
-
id: 3581884
{'charpoly_factorization': [[[128, 200, -20, -30, 1, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 29}
-
id: 3581885
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 81065274362564880, 'p': 31}
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id: 3581886
{'charpoly_factorization': [[[4096, 0, 22528, 0, 17728, 0, 3284, 0, 109, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 37}
-
id: 3581887
{'charpoly_factorization': [[[6553600, 0, 5223424, 0, 541968, 0, 19072, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 41}
-
id: 3581888
{'charpoly_factorization': [[[2048, 2304, 160, -148, -1, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 43}
-
id: 3581889
{'charpoly_factorization': [[[16777216, 0, 4263936, 0, 364432, 0, 13104, 0, 196, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 47}
-
id: 3581890
{'charpoly_factorization': [[[-9920, 4464, 304, -160, 0, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 53}
-
id: 3581891
{'charpoly_factorization': [[[2408704, 0, 7342464, 0, 911184, 0, 29984, 0, 316, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 59}
-
id: 3581892
{'charpoly_factorization': [[[-4192, 1416, 316, -110, -3, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 61}
-
id: 3581893
{'charpoly_factorization': [[[262144, 0, 11636736, 0, 2281472, 0, 53632, 0, 420, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 67}
-
id: 3581894
{'charpoly_factorization': [[[203689984, 0, 31326272, 0, 1620688, 0, 34960, 0, 316, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 71}
-
id: 3581895
{'charpoly_factorization': [[[50922496, 0, 13843968, 0, 1056768, 0, 26900, 0, 277, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 73}
-
id: 3581896
{'charpoly_factorization': [[[5120, 2048, -1168, -8, 20, 1], 2]], 'hecke_orbit_code': 81065274362564880, 'p': 79}
-
id: 3581897
{'charpoly_factorization': [[[1774768384, 0, 165373312, 0, 5605200, 0, 82528, 0, 492, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 83}
-
id: 3581898
{'charpoly_factorization': [[[10240000, 0, 10081536, 0, 1444240, 0, 56544, 0, 448, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 89}
-
id: 3581899
{'charpoly_factorization': [[[125440000, 0, 21293056, 0, 1259264, 0, 31888, 0, 328, 0, 1], 1]], 'hecke_orbit_code': 81065274362564880, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 19, 'label': '4368.2.h.s', '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: 246268000
{'hecke_orbit_code': 81065274362564880, 'n': 1, 'trace_an': 10}
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id: 246268001
{'hecke_orbit_code': 81065274362564880, 'n': 2, 'trace_an': 0}
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id: 246268002
{'hecke_orbit_code': 81065274362564880, 'n': 3, 'trace_an': -10}
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id: 246268003
{'hecke_orbit_code': 81065274362564880, 'n': 4, 'trace_an': 0}
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id: 246268004
{'hecke_orbit_code': 81065274362564880, 'n': 5, 'trace_an': 0}
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id: 246268005
{'hecke_orbit_code': 81065274362564880, 'n': 6, 'trace_an': 0}
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id: 246268006
{'hecke_orbit_code': 81065274362564880, 'n': 7, 'trace_an': 0}
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id: 246268007
{'hecke_orbit_code': 81065274362564880, 'n': 8, 'trace_an': 0}
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id: 246268008
{'hecke_orbit_code': 81065274362564880, 'n': 9, 'trace_an': 10}
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id: 246268009
{'hecke_orbit_code': 81065274362564880, 'n': 10, 'trace_an': 0}
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id: 246268010
{'hecke_orbit_code': 81065274362564880, 'n': 11, 'trace_an': 0}
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id: 246268011
{'hecke_orbit_code': 81065274362564880, 'n': 12, 'trace_an': 0}
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id: 246268012
{'hecke_orbit_code': 81065274362564880, 'n': 13, 'trace_an': 0}
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id: 246268013
{'hecke_orbit_code': 81065274362564880, 'n': 14, 'trace_an': 0}
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id: 246268014
{'hecke_orbit_code': 81065274362564880, 'n': 15, 'trace_an': 0}
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id: 246268015
{'hecke_orbit_code': 81065274362564880, 'n': 16, 'trace_an': 0}
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id: 246268016
{'hecke_orbit_code': 81065274362564880, 'n': 17, 'trace_an': -22}
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id: 246268017
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