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mf_newforms • Show schema
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{'Nk2': 3864, 'analytic_conductor': 7.713548835255685, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [966, 3, [323, 829, 925], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 277, 'conrey_indexes': [277, 415], 'dim': 8, 'field_disc': 173309020416, 'field_disc_factorization': [[2, 8], [3, 4], [7, 4], [59, 2]], 'field_poly': [841, 406, 51, 70, -4, -28, -5, 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, -96, 232, 100, 137, 2, 15, 2, 1]], [11, [39601, 33830, 24522, 6128, 1703, 208, 58, 6, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547344945185734, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '966.2.i.n', 'level': 966, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '966.2.i.n', 'nf_label': '8.0.173309020416.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{5})q^{2}-\\beta _{5}q^{3}+\\beta _{5}q^{4}-\\beta _{1}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '966.2.i', 'trace_display': [4, 4, -2, 0], 'trace_hash': 237020069880981900, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.273', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_cc • Show schema
Hide schema
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-0.24524770076816646, -0.34689949896644073, -0.15762793925957913, -0.2661103017085791, 0.2626126197517817, -0.31016326331360794, -0.09698325395438719, -0.4920192606609842, -0.4442228296444585, -0.22393310428860533, -0.2160117746830809, -0.46736967035552957, 0.05424420894078172, -0.44760813420972145, -0.04216772728052973, -0.10744369719487214], 'char_orbit_index': 9, 'conrey_index': 415, 'dual_conrey_index': 277, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 8, 'embedding_root_imag': 0.5123492275399057, 'embedding_root_real': -1.7583364177468064, 'hecke_orbit': 14, 'hecke_orbit_code': 58547344945185734, 'label': '966.2.i.n.415.4', 'level': 966, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3864, 'analytic_conductor': 7.713548835255685, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [966, 3, [323, 829, 925], [3, 2, 3]], 'conrey_index': 277, 'cusp_dim': 368, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 549789369286, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 8, 8, 8], 'label': '966.2.i', 'level': 966, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 400, 'mf_new_dim': 56, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 384, 'trace_bound': 5, 'trace_display': [0, 0, 0, -4], 'traces': [56, 0, 0, -28, 0, 8, -4, 0, -28, 4, 0, 0, 16, -8, -8, -28, 8, 0, 8, 0, -8, -24, 0, -4, -16, 0, 0, -4, -32, 0, -4, 0, 4, 0, 40, 56, 8, 8, -8, 4, -16, -4, 32, 0, 0, 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32, 40, -8, -232, 80, 16, -20, 64, 0, -24, -16, -64, 12, 104, 0, -160, -160, 0, 16, -176, -48, 208, 16, 48, 196, 160, -16, -40, 112, -104, -32, 8, 32, 12, -16, 64, -16, -176, 36, 16, 0, 24, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47740398
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58547344945185734, 'source_is_minimal': True, 'source_label': '966.2.i.n.415.4', 'source_level': 966, 'target_conrey_index': 415, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547344945185734, 'target_is_minimal': True, 'target_label': '966.2.i.n.415.4', 'target_level': 966, 'twist_class_label': '966.2.i.n.277.4', 'twist_class_level': 966, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47740399
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58547344945185734, 'source_is_minimal': True, 'source_label': '966.2.i.n.415.4', 'source_level': 966, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 261208778421049962, 'target_is_minimal': False, 'target_label': '6762.2.a.cg.1.1', 'target_level': 6762, 'twist_class_label': '966.2.i.n.277.4', 'twist_class_level': 966, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47740400
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 415, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58547344945185734, 'source_is_minimal': True, 'source_label': '966.2.i.n.415.4', 'source_level': 966, 'target_conrey_index': 277, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58547344945185734, 'target_is_minimal': True, 'target_label': '966.2.i.n.277.4', 'target_level': 966, 'twist_class_label': '966.2.i.n.277.4', 'twist_class_level': 966, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47740401
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 415, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 58547344945185734, 'source_is_minimal': True, 'source_label': '966.2.i.n.415.4', 'source_level': 966, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 265712378048420458, 'target_is_minimal': False, 'target_label': '6762.2.a.ch.1.4', 'target_level': 6762, 'twist_class_label': '966.2.i.n.277.4', 'twist_class_level': 966, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1545925
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 58547344945185734, 'p': 2}
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id: 1545926
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 58547344945185734, 'p': 3}
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id: 1545927
{'charpoly_factorization': [[[64, -96, 232, 100, 137, 2, 15, 2, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 5}
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id: 1545928
{'charpoly_factorization': [[[49, 0, 7, 0, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 7}
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id: 1545929
{'charpoly_factorization': [[[39601, 33830, 24522, 6128, 1703, 208, 58, 6, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 11}
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id: 1545930
{'charpoly_factorization': [[[-56, -112, -34, 2, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 13}
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id: 1545931
{'charpoly_factorization': [[[3844, -5084, 5174, -2298, 851, -114, 29, -2, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 17}
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id: 1545932
{'charpoly_factorization': [[[87616, 23680, 16464, 832, 1340, 44, 70, -6, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 19}
-
id: 1545933
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 58547344945185734, 'p': 23}
-
id: 1545934
{'charpoly_factorization': [[[189, -126, -10, 10, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 29}
-
id: 1545935
{'charpoly_factorization': [[[404496, -267120, 179580, -15708, 6541, -910, 191, -14, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 31}
-
id: 1545936
{'charpoly_factorization': [[[1024, -512, 960, -32, 548, -100, 58, 6, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 37}
-
id: 1545937
{'charpoly_factorization': [[[-56, 224, -10, -10, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 41}
-
id: 1545938
{'charpoly_factorization': [[[-2, 1], 8]], 'hecke_orbit_code': 58547344945185734, 'p': 43}
-
id: 1545939
{'charpoly_factorization': [[[6697744, -2722576, 902252, -134868, 19349, -1314, 179, -10, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 47}
-
id: 1545940
{'charpoly_factorization': [[[144, 288, 588, 120, 157, 54, 35, 6, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 53}
-
id: 1545941
{'charpoly_factorization': [[[50466816, 8183808, 2016192, 229248, 44161, 4632, 479, 24, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 59}
-
id: 1545942
{'charpoly_factorization': [[[16384, -86016, 420352, -156800, 40592, -5488, 540, -28, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 61}
-
id: 1545943
{'charpoly_factorization': [[[81144064, 11097856, 2887040, 317184, 66608, 6720, 632, 28, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 67}
-
id: 1545944
{'charpoly_factorization': [[[18, -66, 67, -16, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 71}
-
id: 1545945
{'charpoly_factorization': [[[2637376, 1409632, 586152, 108892, 17441, 1118, 139, 6, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 73}
-
id: 1545946
{'charpoly_factorization': [[[1471369, 1508972, 1821674, -271440, 54839, -1584, 242, -4, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 79}
-
id: 1545947
{'charpoly_factorization': [[[-3708, 1176, -43, -14, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 83}
-
id: 1545948
{'charpoly_factorization': [[[9437184, -4128768, 1542144, -201600, 29284, -1484, 282, -14, 1], 1]], 'hecke_orbit_code': 58547344945185734, 'p': 89}
-
id: 1545949
{'charpoly_factorization': [[[23888, 112, -319, 0, 1], 2]], 'hecke_orbit_code': 58547344945185734, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 14, 'label': '966.2.i.n', 'level': 966, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 229853000
{'hecke_orbit_code': 58547344945185734, 'n': 1, 'trace_an': 8}
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id: 229853001
{'hecke_orbit_code': 58547344945185734, 'n': 2, 'trace_an': 4}
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id: 229853002
{'hecke_orbit_code': 58547344945185734, 'n': 3, 'trace_an': 4}
-
id: 229853003
{'hecke_orbit_code': 58547344945185734, 'n': 4, 'trace_an': -4}
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id: 229853004
{'hecke_orbit_code': 58547344945185734, 'n': 5, 'trace_an': -2}
-
id: 229853005
{'hecke_orbit_code': 58547344945185734, 'n': 6, 'trace_an': 8}
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id: 229853006
{'hecke_orbit_code': 58547344945185734, 'n': 7, 'trace_an': 0}
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id: 229853007
{'hecke_orbit_code': 58547344945185734, 'n': 8, 'trace_an': -8}
-
id: 229853008
{'hecke_orbit_code': 58547344945185734, 'n': 9, 'trace_an': -4}
-
id: 229853009
{'hecke_orbit_code': 58547344945185734, 'n': 10, 'trace_an': 2}
-
id: 229853010
{'hecke_orbit_code': 58547344945185734, 'n': 11, 'trace_an': -6}
-
id: 229853011
{'hecke_orbit_code': 58547344945185734, 'n': 12, 'trace_an': 4}
-
id: 229853012
{'hecke_orbit_code': 58547344945185734, 'n': 13, 'trace_an': -4}
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id: 229853013
{'hecke_orbit_code': 58547344945185734, 'n': 14, 'trace_an': 0}
-
id: 229853014
{'hecke_orbit_code': 58547344945185734, 'n': 15, 'trace_an': -4}
-
id: 229853015
{'hecke_orbit_code': 58547344945185734, 'n': 16, 'trace_an': -4}
-
id: 229853016
{'hecke_orbit_code': 58547344945185734, 'n': 17, 'trace_an': 2}
-
id: 229853017
{'hecke_orbit_code': 58547344945185734, 'n': 18, 'trace_an': 4}
-
id: 229853018
{'hecke_orbit_code': 58547344945185734, 'n': 19, 'trace_an': 6}
-
id: 229853019
{'hecke_orbit_code': 58547344945185734, 'n': 20, 'trace_an': 4}
-
id: 229853020
{'hecke_orbit_code': 58547344945185734, 'n': 21, 'trace_an': 0}
-
id: 229853021
{'hecke_orbit_code': 58547344945185734, 'n': 22, 'trace_an': -12}
-
id: 229853022
{'hecke_orbit_code': 58547344945185734, 'n': 23, 'trace_an': -4}
-
id: 229853023
{'hecke_orbit_code': 58547344945185734, 'n': 24, 'trace_an': -4}
-
id: 229853024
{'hecke_orbit_code': 58547344945185734, 'n': 25, 'trace_an': -6}
-
id: 229853025
{'hecke_orbit_code': 58547344945185734, 'n': 26, 'trace_an': -2}
-
id: 229853026
{'hecke_orbit_code': 58547344945185734, 'n': 27, 'trace_an': -8}
-
id: 229853027
{'hecke_orbit_code': 58547344945185734, 'n': 28, 'trace_an': 0}
-
id: 229853028
{'hecke_orbit_code': 58547344945185734, 'n': 29, 'trace_an': -20}
-
id: 229853029
{'hecke_orbit_code': 58547344945185734, 'n': 30, 'trace_an': -2}
-
id: 229853030
{'hecke_orbit_code': 58547344945185734, 'n': 31, 'trace_an': 14}
-
id: 229853031
{'hecke_orbit_code': 58547344945185734, 'n': 32, 'trace_an': 4}
-
id: 229853032
{'hecke_orbit_code': 58547344945185734, 'n': 33, 'trace_an': 6}
-
id: 229853033
{'hecke_orbit_code': 58547344945185734, 'n': 34, 'trace_an': 4}
-
id: 229853034
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{'hecke_orbit_code': 58547344945185734, 'n': 991, 'trace_an': -30}
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id: 229853991
{'hecke_orbit_code': 58547344945185734, 'n': 992, 'trace_an': -14}
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id: 229853992
{'hecke_orbit_code': 58547344945185734, 'n': 993, 'trace_an': -12}
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id: 229853993
{'hecke_orbit_code': 58547344945185734, 'n': 994, 'trace_an': 28}
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id: 229853994
{'hecke_orbit_code': 58547344945185734, 'n': 995, 'trace_an': 88}
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id: 229853995
{'hecke_orbit_code': 58547344945185734, 'n': 996, 'trace_an': 14}
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id: 229853996
{'hecke_orbit_code': 58547344945185734, 'n': 997, 'trace_an': 34}
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id: 229853997
{'hecke_orbit_code': 58547344945185734, 'n': 998, 'trace_an': -6}
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id: 229853998
{'hecke_orbit_code': 58547344945185734, 'n': 999, 'trace_an': 6}
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id: 229853999
{'hecke_orbit_code': 58547344945185734, 'n': 1000, 'trace_an': -36}