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mf_newforms • Show schema
{'Nk2': 14196, 'analytic_conductor': 28.33890767735241, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -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': [3549, 1, [1184, 1522, 3382], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 9, 'field_disc': 629009907904, 'field_disc_factorization': [[2, 6], [7, 6], [139, 1], [601, 1]], 'field_poly': [-1, 6, 12, -41, -18, 37, 8, -11, -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': [[2, [1, 6, -12, -41, 18, 37, -8, -11, 1, 1]], [5, [169, -131, -255, 249, 83, -141, 20, 22, -9, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854672861, 'hecke_ring_generator_nbound': 5, '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': '3549.2.a.be', 'level': 3549, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '3549.2.a.be', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(\\beta _{1}-\\beta _{2}+\\beta _{3}+\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3549.2.a', 'trace_display': [-1, -9, 9, 9], 'trace_hash': 1439817283730521130, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.097', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.463', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '157.681', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5196.250', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [9, -1, -9, 5, 9, 1, 9, -6, 9, 1, -1, -5, 0, -1, -9, 5, 11, -1, 7, 23, -9, -3, 22, 6, -8, 0, -9, 5, 11, -1, 7, -18, 1, -6, 9, 5, -1, -6, 0, -14, 16, 1, 32, 18, 9, -9, -12, -5, 9, 10, -11, 0, 13, 1, 9, -6, -7, 4, 29, -23, -12, 30, 9, 6, 0, 3, -20, 34, -22, 1, -2, -6, 1, 43, 8, 13, -1, 0, 3, -39, 9, -19, 24, -5, 15, -28, -11, -19, 11, 1, 0, 73, -7, 15, 39, 18, 20, -1, -1, -12, 18, 6, 23, 0, -9, -55, 39, -5, -20, 3, 1, 5, 1, 6, 36, 46, 0, -7, 11, 14, -24, -49, -16, 8, -15, -1, -7, -23, -32, 0, 52, -18, 7, 85, -9, -9, 6, 9, 43, 23, 12, -30, 0, 5, 21, 18, -9, -61, -29, -10, -73, 18, 11, -3, 39, 0, 18, -45, -13, -14, 22, -1, 0, 8, -9, 17, 11, 6, 0, -20, 7, 52, 13, -4, -8, 32, -29, 11, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'AL_dims': [[[[3, -1], [7, -1], [13, -1]], 27, 4], [[[3, -1], [7, -1], [13, 1]], 11, 5], [[[3, 1], [7, 1], [13, 1]], 18, 6], [[[3, 1], [7, -1], [13, -1]], 21, 4], [[[3, -1], [7, 1], [13, 1]], 25, 4], [[[3, -1], [7, 1], [13, -1]], 15, 4], [[[3, 1], [7, 1], [13, -1]], 21, 3], [[[3, 1], [7, -1], [13, 1]], 18, 4]], 'ALdims': [18, 21, 18, 21, 25, 15, 11, 27], 'Nk2': 14196, 'analytic_conductor': 28.33890767735241, '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': [3549, 1, [1184, 1522, 3382], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 156, 'eis_dim': 55, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557981, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 6, 6, 8, 8, 8, 8, 9, 9, 15, 15], 'label': '3549.2.a', 'level': 3549, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
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id: 48725795
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 135107988854672861, 'source_is_minimal': True, 'source_label': '3549.2.a.be.1.9', 'source_level': 3549, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 135107988854672861, 'target_is_minimal': True, 'target_label': '3549.2.a.be.1.9', 'target_level': 3549, 'twist_class_label': '3549.2.a.be.1.9', 'twist_class_level': 3549, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48725796
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 135107988854672861, 'source_is_minimal': True, 'source_label': '3549.2.a.be.1.9', 'source_level': 3549, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482043357, 'target_is_minimal': True, 'target_label': '3549.2.a.bf.1.1', 'target_level': 3549, 'twist_class_label': '3549.2.a.be.1.9', 'twist_class_level': 3549, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48725795
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mf_hecke_charpolys • Show schema
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id: 3235125
{'charpoly_factorization': [[[1, 6, -12, -41, 18, 37, -8, -11, 1, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 2} -
id: 3235126
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 135107988854672861, 'p': 3} -
id: 3235127
{'charpoly_factorization': [[[169, -131, -255, 249, 83, -141, 20, 22, -9, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 5} -
id: 3235128
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 135107988854672861, 'p': 7} -
id: 3235129
{'charpoly_factorization': [[[-29, 504, 197, -851, -215, 348, 10, -37, 1, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 11} -
id: 3235130
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 135107988854672861, 'p': 13} -
id: 3235131
{'charpoly_factorization': [[[-2633, -3756, 8935, 7121, -4589, -482, 426, -13, -11, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 17} -
id: 3235132
{'charpoly_factorization': [[[-1861, -7010, -9139, -3797, 1369, 1412, 188, -55, -7, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 19} -
id: 3235133
{'charpoly_factorization': [[[-1861, 24665, -52820, 14109, 8153, -3511, 55, 142, -22, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 23} -
id: 3235134
{'charpoly_factorization': [[[31424, 1472, -63040, 32976, 3268, -5656, 1275, -58, -11, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 29} -
id: 3235135
{'charpoly_factorization': [[[-8471, -16626, 33889, 21851, -18989, 1692, 746, -99, -7, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 31} -
id: 3235136
{'charpoly_factorization': [[[-136487, 188511, 43481, -80179, -3663, 8201, -176, -194, 1, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 37} -
id: 3235137
{'charpoly_factorization': [[[45907, -56655, -44154, 68597, -15141, -3141, 1035, -2, -16, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 41} -
id: 3235138
{'charpoly_factorization': [[[-4296704, 3650560, -264704, -628928, 254976, -38160, 1248, 284, -32, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 43} -
id: 3235139
{'charpoly_factorization': [[[8667968, -768704, -2062000, -23792, 131560, 6680, -2763, -209, 12, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 47} -
id: 3235140
{'charpoly_factorization': [[[-455104, -211072, 157968, 48336, -23744, -2216, 1413, -73, -13, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 53} -
id: 3235141
{'charpoly_factorization': [[[-3519424, 7154816, -3731600, 571120, 79392, -32652, 2477, 163, -29, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 59} -
id: 3235142
{'charpoly_factorization': [[[-33721792, 65881344, -9309152, -2611120, 335676, 43680, -3639, -347, 12, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 61} -
id: 3235143
{'charpoly_factorization': [[[13046272, -4778752, -3267904, 498784, 212768, -3808, -3877, -113, 20, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 67} -
id: 3235144
{'charpoly_factorization': [[[-80941127, 25334313, 5232100, -1976311, -74947, 46039, -1, -382, 2, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 71} -
id: 3235145
{'charpoly_factorization': [[[-75156992, 50932736, 2187904, -2926432, -31464, 55332, 311, -406, -1, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 73} -
id: 3235146
{'charpoly_factorization': [[[-29684416, 14214720, 7062384, -1859840, -156260, 43340, 1185, -360, -3, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 79} -
id: 3235147
{'charpoly_factorization': [[[53248, 1069056, 1579520, -684160, -282736, 9128, 4885, -135, -24, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 83} -
id: 3235148
{'charpoly_factorization': [[[296717, -1737545, 2264607, -223427, -181119, 18221, 3382, -338, -11, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 89} -
id: 3235149
{'charpoly_factorization': [[[-231232, 642496, -407600, -70736, 139332, -47012, 6215, -197, -20, 1], 1]], 'hecke_orbit_code': 135107988854672861, 'p': 97}
-
id: 3235125
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '3549.2.a.be', 'level': 3549, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 265474000
{'hecke_orbit_code': 135107988854672861, 'n': 1, 'trace_an': 9} -
id: 265474001
{'hecke_orbit_code': 135107988854672861, 'n': 2, 'trace_an': -1} -
id: 265474002
{'hecke_orbit_code': 135107988854672861, 'n': 3, 'trace_an': -9} -
id: 265474003
{'hecke_orbit_code': 135107988854672861, 'n': 4, 'trace_an': 5} -
id: 265474004
{'hecke_orbit_code': 135107988854672861, 'n': 5, 'trace_an': 9} -
id: 265474005
{'hecke_orbit_code': 135107988854672861, 'n': 6, 'trace_an': 1} -
id: 265474006
{'hecke_orbit_code': 135107988854672861, 'n': 7, 'trace_an': 9} -
id: 265474007
{'hecke_orbit_code': 135107988854672861, 'n': 8, 'trace_an': -6} -
id: 265474008
{'hecke_orbit_code': 135107988854672861, 'n': 9, 'trace_an': 9} -
id: 265474009
{'hecke_orbit_code': 135107988854672861, 'n': 10, 'trace_an': 1} -
id: 265474010
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id: 265474011
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-
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Embedded newform data - 3549.2.a.be.1.9