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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 4, 'field_disc': 38025, 'field_disc_factorization': [[3, 2], [5, 2], [13, 2]], 'field_poly': [256, 16, 17, -1, 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': [[2, [15876, 1134, 207, -9, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525334964764753, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.8.c.h', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.8.a.b', 'nf_label': '4.0.38025.4', 'prim_orbit_index': 3, 'qexp_display': 'q+(4\\beta _{1}+\\beta _{2})q^{2}+(-43+34\\beta _{1}+9\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.8.c', 'trace_display': [9, 0, 180, -700], 'trace_hash': 1953467583553935495, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.808', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '54.896', 'prec': 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mf_hecke_nf • Show schema
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[-1328304742, 0, 0, 523808100], [0, 16814002570, -121295300, 0], [16167131275, -14991239785, -1175891490, -1175891490], [-744969216, 0, 0, -647700384], [-11709756934, 0, 0, 1417554000], [0, 1643869120, -767893760, 0], [0, -18336225950, -1286719920, 0], [0, -2547938024, 1652303104, 0], [21855359992, -21860577832, 5217840, 5217840], [-66859164, 0, 0, 1080056880], [-21307135730, 21562234610, -255098880, -255098880], [3713562780, 0, 0, 1400738280], [13780730090, 0, 0, -1224910620], [-9668886620, 8134597084, 1534289536, 1534289536], [0, 2677142890, -463801500, 0], [0, -5292283130, -951428000, 0], [22512612881, 0, 0, 1129160250], [0, -12975137300, -816625400, 0], [5351213315, 0, 0, -1759939920], [5712845935, -8049986285, 2337140350, 2337140350], [0, 35939235487, 248435632, 0], [4538859204, 0, 0, -856553208], [-29794562195, 29185661345, 608900850, 608900850], [4503337695, 0, 0, -790716600], [-5447265218, 8948312182, -3501046964, -3501046964], [0, 11272692022, 1724527408, 0], [-2993234749, 0, 0, 1542804246], [0, 32407110100, 46179360, 0]], 'char_orbit_index': 3, 'field_poly': [256, 16, 17, -1, 1], 'hecke_orbit_code': 31525334964764753, 'hecke_ring_character_values': [[2, [-1, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 272, 272, 17], 'hecke_ring_inverse_denominators': [1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [-50, 49, 1, 1], [-82, 0, 0, 17]], 'hecke_ring_numerators': [[1, 0, 0, 0], [256, -17, 17, -1], [-256, 833, -17, 1], [82, 0, 0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '81.8.c.h', 'level': 81, 'maxp': 997, 'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 114, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137573171281, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 12], 'label': '81.8.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 138, 'mf_new_dim': 58, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 72, 'trace_bound': 4, 'trace_display': [0, 0, 0, 417], 'traces': [54, 0, 0, -1662, 0, 0, 417, 0, 0, -516, 0, 0, 9237, 0, 0, -98046, 0, 0, -115902, 0, 0, 70770, 0, 0, -431367, 0, 0, -278532, 0, 0, -338964, 0, 0, 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0, 0, -159198524514, 0, 0, -208923182568, 0, 0, -110840460858, 0, 0, 141331234824, 0, 0, 62306906196, 0, 0, -180207937020], 'weight': 8, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 72457
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '27.8.a.b', 'target_level': 27, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 72458
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '27.8.a.e', 'target_level': 27, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 72459
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.8.c.d', 'target_level': 81, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 72460
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.8.c.d', 'target_level': 81, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 72461
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '81.8.c.h', 'target_level': 81, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 72462
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '81.8.c.h', 'target_level': 81, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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id: 72463
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '432.8.a.j', 'target_level': 432, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 72464
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '81.8.c.h', 'source_level': 81, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '432.8.a.q', 'target_level': 432, 'twist_class_label': '27.8.a.b', 'twist_class_level': 27, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 255350
{'charpoly_factorization': [[[15876, 1134, 207, -9, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 2}
-
id: 255351
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525334964764753, 'p': 3}
-
id: 255352
{'charpoly_factorization': [[[56475225, -1352700, 24885, -180, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 5}
-
id: 255353
{'charpoly_factorization': [[[1128109515625, -743487500, 1552125, 700, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 7}
-
id: 255354
{'charpoly_factorization': [[[865184866700625, -320318732250, 89178075, -10890, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 11}
-
id: 255355
{'charpoly_factorization': [[[4666037510560000, 374330032000, 98338800, -5480, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 13}
-
id: 255356
{'charpoly_factorization': [[[-741669696, 16416, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 17}
-
id: 255357
{'charpoly_factorization': [[[-142216916, -16024, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 19}
-
id: 255358
{'charpoly_factorization': [[[15241563020727269136, 95149371189168, 4498038828, -24372, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 23}
-
id: 255359
{'charpoly_factorization': [[[26239013518889610000, 733937916168000, 15406755300, 143280, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 29}
-
id: 255360
{'charpoly_factorization': [[[813871014094807759561, 1104278262087652, 30026733933, -38708, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 31}
-
id: 255361
{'charpoly_factorization': [[[-16337003900, -455620, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 37}
-
id: 255362
{'charpoly_factorization': [[[6959594659599062010000, -61056492590988000, 452224149300, -731880, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 41}
-
id: 255363
{'charpoly_factorization': [[[43038087324321654010000, -225886641364316000, 978116315700, -1088840, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 43}
-
id: 255364
{'charpoly_factorization': [[[168917673826253838531600, -641770181452710000, 2027286296460, -1561500, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 47}
-
id: 255365
{'charpoly_factorization': [[[1583691044571, 2610468, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 53}
-
id: 255366
{'charpoly_factorization': [[[419635075896957324960000, 1121950635256656000, 3647477905200, -1731960, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 59}
-
id: 255367
{'charpoly_factorization': [[[308018919156414386176, -10884659710932992, 367087649088, -620192, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 61}
-
id: 255368
{'charpoly_factorization': [[[246456324650256250000, 5441248271500000, 104432632500, 346600, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 67}
-
id: 255369
{'charpoly_factorization': [[[-3541802241600, -4242240, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 71}
-
id: 255370
{'charpoly_factorization': [[[-3239699519975, 3145190, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 73}
-
id: 255371
{'charpoly_factorization': [[[369390253310213153696137216, 194321266458985636864, 83005027983552, 10110616, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 79}
-
id: 255372
{'charpoly_factorization': [[[2871542643774224897188881, 1091640661370608518, 2109558887163, -644202, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 83}
-
id: 255373
{'charpoly_factorization': [[[6381093451500, 6021000, 1], 2]], 'hecke_orbit_code': 31525334964764753, 'p': 89}
-
id: 255374
{'charpoly_factorization': [[[24293476643730301708983150625, -638833656515967139250, 172662743370675, 4098670, 1], 1]], 'hecke_orbit_code': 31525334964764753, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 8, 'label': '81.8.c.h', 'level': 81, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 49827001
{'hecke_orbit_code': 31525334964764753, 'n': 1, 'trace_an': 4}
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id: 49827002
{'hecke_orbit_code': 31525334964764753, 'n': 2, 'trace_an': 9}
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