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mf_newforms • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1170, 3, [911, 937, 1081], [1, 3, 3]], 'cm_discs': [], 'conrey_index': 391, 'dim': 10, 'field_disc': -8528759163648, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 9], [1301, 2]], 'field_poly': [243, -162, 27, 0, 27, -36, 9, 0, 1, -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': [[7, [4, -2, 33, 48, 240, 138, 129, 0, 24, 4, 1]], [11, [324, -648, 1188, -864, 846, -522, 414, -174, 63, -9, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029415527810194, 'hecke_ring_generator_nbound': 7, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1170.2.j.i', 'level': 1170, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1170.2.j.i', 'nf_label': '10.0.8528759163648.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(-\\beta _{1}-\\beta _{4})q^{3}-\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1170.2.j', 'trace_display': [-5, -1, 5, -4], 'trace_hash': 1437776641253575470, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.422', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '362.032', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '26271.588', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [10, -5, -1, -5, 5, -1, -4, 10, -1, -10, 9, 2, -5, -4, -2, -5, -18, 2, -10, 5, -14, 9, 12, -1, -5, 10, 2, 8, 6, 1, -4, -5, 15, 9, -8, -1, 20, 5, 2, 5, 9, -2, -1, -18, 1, -24, 6, -1, 3, -5, -15, -5, -12, -1, 18, -4, 25, 6, 21, 1, 2, 8, -20, 10, 5, 0, -7, 9, -36, 4, -12, -1, -58, -10, -1, 5, 36, -1, 8, -10, 35, -18, 6, 16, -9, -1, -48, 9, -36, 1, 8, 12, 22, 6, -5, 2, 11, -6, 18, 10, 0, 15, 8, -5, -16, 6, -66, -1, 8, -9, -14, -4, 0, -11, -12, -12, -1, -42, 36, -2, 10, 2, -54, -4, -10, 34, -4, -5, 1, 5, 18, -15, 22, 14, 1, -18, 39, 6, -1, 4, -12, 6, -18, 2, 12, 29, 54, -10, 12, 2, 20, -10, 15, -72, 4, -1, 20, 8, -54, 5, 0, -1, -16, 9, 15, 6, 24, -14, -5, 18, 79, 2, 30, 36, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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-0.3118949460153102, -0.14632581610541717, -0.015409309436403949, 0.17445050637960569, -0.355823507645228, -0.4021256737364667, -0.3112970542653444, -0.1444597277115082, -0.2398978141908336, -0.11409511631786866, -0.29887686087277665, -0.3105586799866623, -0.49521574152983105, 0.08442465772642337, 0.19356279283862207, -0.159825403648968, -0.08594484476179202, -0.16682881371490893, -0.48727144095481845, -0.27318922777201937, -0.2532857537416776, -0.33418156295202756], 'char_orbit_index': 10, 'conrey_index': 391, 'dual_conrey_index': 781, 'dual_embedding_index': 5, 'dual_embedding_m': 10, 'embedding_index': 5, 'embedding_m': 5, 'embedding_root_imag': 1.307544228952413, 'embedding_root_real': -1.1359260932530952, 'hecke_orbit': 9, 'hecke_orbit_code': 36029415527810194, 'label': '1170.2.j.i.391.5', 'level': 1170, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1170, 3, [911, 937, 1081], [1, 3, 3]], 'conrey_index': 391, 'cusp_dim': 488, 'dim': 96, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 618508846226, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 8, 10, 10, 12, 12, 12, 16], 'label': '1170.2.j', 'level': 1170, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 520, 'mf_new_dim': 96, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 504, 'trace_bound': 3, 'trace_display': [-4, -4, -4, 0], 'traces': [96, -4, -4, -48, -4, 4, 0, 8, -8, 0, 4, 8, 0, 4, 0, -48, -8, 8, -24, -4, -32, 12, 24, -8, 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0, 228, -64, 48, -88, 8, -120, -140, 104, 0, 4, -400, 0, -72, -24, 0, -48, 464, -72, -104, 0, 48, 112, -172, -48, -32, 144, 48, -8, 260, 0, 176, -4, -144, 152, 0, 12, -428, 24, 24, 48, -564, -120, -184, 12, -24, 16, 336, 0, -464, -88, 48, 0, 480, 72, -48, 116, -48, -296, -304, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46684267
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 391, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029415527810194, 'source_is_minimal': True, 'source_label': '1170.2.j.i.391.5', 'source_level': 1170, 'target_conrey_index': 391, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029415527810194, 'target_is_minimal': True, 'target_label': '1170.2.j.i.391.5', 'target_level': 1170, 'twist_class_label': '1170.2.j.i.391.5', 'twist_class_level': 1170, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46684268
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 391, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029415527810194, 'source_is_minimal': True, 'source_label': '1170.2.j.i.391.5', 'source_level': 1170, 'target_conrey_index': 1171, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533015155183030, 'target_is_minimal': False, 'target_label': '3510.2.j.j.1171.2', 'target_level': 3510, 'twist_class_label': '1170.2.j.i.391.5', 'twist_class_level': 1170, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46684269
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 391, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029415527810194, 'source_is_minimal': True, 'source_label': '1170.2.j.i.391.5', 'source_level': 1170, 'target_conrey_index': 2341, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40533015155183030, 'target_is_minimal': False, 'target_label': '3510.2.j.j.2341.2', 'target_level': 3510, 'twist_class_label': '1170.2.j.i.391.5', 'twist_class_level': 1170, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46684270
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 391, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 36029415527810194, 'source_is_minimal': True, 'source_label': '1170.2.j.i.391.5', 'source_level': 1170, 'target_conrey_index': 781, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029415527810194, 'target_is_minimal': True, 'target_label': '1170.2.j.i.781.5', 'target_level': 1170, 'twist_class_label': '1170.2.j.i.391.5', 'twist_class_level': 1170, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1739825
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 36029415527810194, 'p': 2}
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id: 1739826
{'charpoly_factorization': [[[243, 81, 27, 0, -27, -9, -9, 0, 1, 1, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 3}
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id: 1739827
{'charpoly_factorization': [[[1, -1, 1], 5]], 'hecke_orbit_code': 36029415527810194, 'p': 5}
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id: 1739828
{'charpoly_factorization': [[[4, -2, 33, 48, 240, 138, 129, 0, 24, 4, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 7}
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id: 1739829
{'charpoly_factorization': [[[324, -648, 1188, -864, 846, -522, 414, -174, 63, -9, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 11}
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id: 1739830
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 36029415527810194, 'p': 13}
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id: 1739831
{'charpoly_factorization': [[[-18, -36, -6, 18, 9, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 17}
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id: 1739832
{'charpoly_factorization': [[[334, -220, -278, -44, 5, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 19}
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id: 1739833
{'charpoly_factorization': [[[2178576, -1846476, 1157625, -398412, 116406, -23580, 4887, -768, 126, -12, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 23}
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id: 1739834
{'charpoly_factorization': [[[13749264, -6574284, 4300425, -114264, 234666, -10512, 8199, -84, 126, -6, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 29}
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id: 1739835
{'charpoly_factorization': [[[633616, -708440, 793692, -116028, 69048, -8064, 4578, -300, 90, 4, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 31}
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id: 1739836
{'charpoly_factorization': [[[-32, -10, 118, 4, -10, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 37}
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id: 1739837
{'charpoly_factorization': [[[57017601, -4417335, 5461803, -690714, 433845, -45837, 10701, -708, 153, -9, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 41}
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id: 1739838
{'charpoly_factorization': [[[256, -512, 1536, 0, 2064, -1104, 960, -96, 33, 1, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 43}
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id: 1739839
{'charpoly_factorization': [[[1296, -2916, 4833, -3888, 2520, -936, 369, -96, 36, -6, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 47}
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id: 1739840
{'charpoly_factorization': [[[-8928, 5328, -240, -144, 6, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 53}
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id: 1739841
{'charpoly_factorization': [[[20736, 41472, 138240, -152064, 109008, -43056, 12384, -2256, 297, -21, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 59}
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id: 1739842
{'charpoly_factorization': [[[1094116, 1448710, 1865925, 399786, 223422, -1314, 23679, 216, 162, -2, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 61}
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id: 1739843
{'charpoly_factorization': [[[332929, -743753, 1551891, -358002, 166461, -3, 9645, -306, 147, 7, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 67}
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id: 1739844
{'charpoly_factorization': [[[51552, 7344, -1536, -216, 6, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 71}
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id: 1739845
{'charpoly_factorization': [[[-126968, -42304, -3800, 106, 29, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 73}
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id: 1739846
{'charpoly_factorization': [[[64192144, 34627864, 16356204, 3112164, 649548, 43524, 11454, 348, 180, -8, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 79}
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id: 1739847
{'charpoly_factorization': [[[2351474064, 737999748, 219107025, 26038854, 3827448, 172296, 38313, 852, 264, -6, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 83}
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id: 1739848
{'charpoly_factorization': [[[196506, -1593, -5382, -252, 18, 1], 2]], 'hecke_orbit_code': 36029415527810194, 'p': 89}
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id: 1739849
{'charpoly_factorization': [[[2390116, -2962136, 4277088, 429504, 335922, -162, 13212, 360, 225, -11, 1], 1]], 'hecke_orbit_code': 36029415527810194, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 9, 'label': '1170.2.j.i', 'level': 1170, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202223000
{'hecke_orbit_code': 36029415527810194, 'n': 1, 'trace_an': 10}
-
id: 202223001
{'hecke_orbit_code': 36029415527810194, 'n': 2, 'trace_an': -5}
-
id: 202223002
{'hecke_orbit_code': 36029415527810194, 'n': 3, 'trace_an': -1}
-
id: 202223003
{'hecke_orbit_code': 36029415527810194, 'n': 4, 'trace_an': -5}
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id: 202223004
{'hecke_orbit_code': 36029415527810194, 'n': 5, 'trace_an': 5}
-
id: 202223005
{'hecke_orbit_code': 36029415527810194, 'n': 6, 'trace_an': -1}
-
id: 202223006
{'hecke_orbit_code': 36029415527810194, 'n': 7, 'trace_an': -4}
-
id: 202223007
{'hecke_orbit_code': 36029415527810194, 'n': 8, 'trace_an': 10}
-
id: 202223008
{'hecke_orbit_code': 36029415527810194, 'n': 9, 'trace_an': -1}
-
id: 202223009
{'hecke_orbit_code': 36029415527810194, 'n': 10, 'trace_an': -10}
-
id: 202223010
{'hecke_orbit_code': 36029415527810194, 'n': 11, 'trace_an': 9}
-
id: 202223011
{'hecke_orbit_code': 36029415527810194, 'n': 12, 'trace_an': 2}
-
id: 202223012
{'hecke_orbit_code': 36029415527810194, 'n': 13, 'trace_an': -5}
-
id: 202223013
{'hecke_orbit_code': 36029415527810194, 'n': 14, 'trace_an': -4}
-
id: 202223014
{'hecke_orbit_code': 36029415527810194, 'n': 15, 'trace_an': -2}
-
id: 202223015
{'hecke_orbit_code': 36029415527810194, 'n': 16, 'trace_an': -5}
-
id: 202223016
{'hecke_orbit_code': 36029415527810194, 'n': 17, 'trace_an': -18}
-
id: 202223017
{'hecke_orbit_code': 36029415527810194, 'n': 18, 'trace_an': 2}
-
id: 202223018
{'hecke_orbit_code': 36029415527810194, 'n': 19, 'trace_an': -10}
-
id: 202223019
{'hecke_orbit_code': 36029415527810194, 'n': 20, 'trace_an': 5}
-
id: 202223020
{'hecke_orbit_code': 36029415527810194, 'n': 21, 'trace_an': -14}
-
id: 202223021
{'hecke_orbit_code': 36029415527810194, 'n': 22, 'trace_an': 9}
-
id: 202223022
{'hecke_orbit_code': 36029415527810194, 'n': 23, 'trace_an': 12}
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id: 202223023
{'hecke_orbit_code': 36029415527810194, 'n': 24, 'trace_an': -1}
-
id: 202223024
{'hecke_orbit_code': 36029415527810194, 'n': 25, 'trace_an': -5}
-
id: 202223025
{'hecke_orbit_code': 36029415527810194, 'n': 26, 'trace_an': 10}
-
id: 202223026
{'hecke_orbit_code': 36029415527810194, 'n': 27, 'trace_an': 2}
-
id: 202223027
{'hecke_orbit_code': 36029415527810194, 'n': 28, 'trace_an': 8}
-
id: 202223028
{'hecke_orbit_code': 36029415527810194, 'n': 29, 'trace_an': 6}
-
id: 202223029
{'hecke_orbit_code': 36029415527810194, 'n': 30, 'trace_an': 1}
-
id: 202223030
{'hecke_orbit_code': 36029415527810194, 'n': 31, 'trace_an': -4}
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