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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [1, 3]], 'cm_discs': [], 'conrey_index': 79, 'dim': 6, 'field_disc': -4406832, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [101, 2]], 'field_poly': [1, 5, 24, 7, 6, -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, [36, -24, 28, -4, 8, -2, 1]], [3, [196, -28, 60, -20, 18, -4, 1]], [5, [49, 21, 44, -29, 22, -5, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812537469, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '637.2.e.l', 'level': 637, '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': [7, 13], 'level_radical': 91, 'minimal_twist': '637.2.a.h', 'nf_label': '6.0.4406832.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{2}+\\beta _{4})q^{2}+(1-\\beta _{3}-\\beta _{4}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.e', 'trace_display': [2, 4, 5, 0], 'trace_hash': 1511294524112240661, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.491', 'prec': 17}, 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mf_hecke_cc • Show schema
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'char_orbit_index': 5, 'conrey_index': 79, 'dual_conrey_index': 508, 'dual_embedding_index': 2, 'dual_embedding_m': 5, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -0.1825199469076291, 'embedding_root_real': -0.10537794047959587, 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812537469, 'label': '637.2.e.l.79.2', 'level': 637, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [1, 3]], 'conrey_index': 79, 'cusp_dim': 116, 'dim': 80, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 274911462013, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 10, 12, 12], 'label': '637.2.e', 'level': 637, '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': [7, 13], 'level_radical': 91, 'mf_dim': 148, 'mf_new_dim': 80, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [4, 0, 2, 0], 'traces': [80, 4, 0, -36, 2, 0, 0, -12, -44, -10, 6, -10, -4, 0, 20, -12, -4, 10, 8, -32, 0, -68, -2, 20, -34, 6, 0, 0, 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-4, 144, -158, -104, -40, 0, -700, -220, -52, -22, 64, -12, 0, 220, 124, 118, -216, -16, 48, 0, 208, -282, 72, -128, 76, -4, 0, -248, -194, -30, -4, 128, -188, 0, -180, 108, 74, -154, -18, 132, 0, 404, 66, -32, -232, 138, 240, 0, -92, 60, -68, 248, -64, 8, 0, -308, 8, -74, 62, -34, 48, 0, 252, -280, 8, -216, -8, -40, 0, -64, -250, -52, -60, -50, -140, 0, 908, -492, 36, -6, -38, -40], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47394820
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539870812537469, 'target_is_minimal': False, 'target_label': '637.2.e.l.79.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47394821
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425148541, 'target_is_minimal': True, 'target_label': '637.2.a.h.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47394822
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185166973, 'target_is_minimal': False, 'target_label': '637.2.e.k.508.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47394823
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 508, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539870812537469, 'target_is_minimal': False, 'target_label': '637.2.e.l.508.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47394824
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519037, 'target_is_minimal': True, 'target_label': '637.2.a.i.1.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47394825
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 79, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271185166973, 'target_is_minimal': False, 'target_label': '637.2.e.k.79.2', 'target_level': 637, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 47394826
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854675045, 'target_is_minimal': False, 'target_label': '5733.2.a.be.1.2', 'target_level': 5733, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47394827
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227304549, 'target_is_minimal': False, 'target_label': '5733.2.a.bd.1.2', 'target_level': 5733, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47394828
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618900569, 'target_is_minimal': False, 'target_label': '8281.2.a.bk.1.2', 'target_level': 8281, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 47394829
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 6, 'source_embedding_index': 2, 'source_hecke_orbit_code': 49539870812537469, 'source_is_minimal': False, 'source_label': '637.2.e.l.79.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736789081, 'target_is_minimal': False, 'target_label': '8281.2.a.bh.1.2', 'target_level': 8281, 'twist_class_label': '637.2.a.h.1.2', 'twist_class_level': 637, 'twisting_char_label': '91.51', 'twisting_conrey_index': 51, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1146975
{'charpoly_factorization': [[[36, -24, 28, -4, 8, -2, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 2}
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id: 1146976
{'charpoly_factorization': [[[196, -28, 60, -20, 18, -4, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 3}
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id: 1146977
{'charpoly_factorization': [[[49, 21, 44, -29, 22, -5, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 5}
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id: 1146978
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 49539870812537469, 'p': 7}
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id: 1146979
{'charpoly_factorization': [[[4, 0, 8, -4, 16, -4, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 11}
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id: 1146980
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 49539870812537469, 'p': 13}
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id: 1146981
{'charpoly_factorization': [[[196, -28, 60, -20, 18, -4, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 17}
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id: 1146982
{'charpoly_factorization': [[[3969, -189, 450, -105, 52, -7, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 19}
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id: 1146983
{'charpoly_factorization': [[[1849, -1763, 1638, -127, 42, 1, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 23}
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id: 1146984
{'charpoly_factorization': [[[-3, -13, 7, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 29}
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id: 1146985
{'charpoly_factorization': [[[2401, 2009, 1828, -25, 50, 3, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 31}
-
id: 1146986
{'charpoly_factorization': [[[6724, 656, 884, -244, 92, -10, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 37}
-
id: 1146987
{'charpoly_factorization': [[[-504, -116, 6, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 41}
-
id: 1146988
{'charpoly_factorization': [[[101, -5, -9, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 43}
-
id: 1146989
{'charpoly_factorization': [[[21609, -13083, 5422, -1219, 200, -17, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 47}
-
id: 1146990
{'charpoly_factorization': [[[81, -351, 1638, 525, 130, 13, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 53}
-
id: 1146991
{'charpoly_factorization': [[[63504, -36288, 15192, -2664, 340, -22, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 59}
-
id: 1146992
{'charpoly_factorization': [[[50176, 35840, 20224, 3392, 416, 24, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 61}
-
id: 1146993
{'charpoly_factorization': [[[419904, -23328, 10368, -792, 232, -14, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 67}
-
id: 1146994
{'charpoly_factorization': [[[194, -44, -4, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 71}
-
id: 1146995
{'charpoly_factorization': [[[2436721, -341859, 55766, -2027, 244, -5, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 73}
-
id: 1146996
{'charpoly_factorization': [[[9801, -6831, 4662, -267, 70, 1, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 79}
-
id: 1146997
{'charpoly_factorization': [[[203, 127, 23, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 83}
-
id: 1146998
{'charpoly_factorization': [[[441, -1155, 2794, -647, 176, 11, 1], 1]], 'hecke_orbit_code': 49539870812537469, 'p': 89}
-
id: 1146999
{'charpoly_factorization': [[[7, -71, -3, 1], 2]], 'hecke_orbit_code': 49539870812537469, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '637.2.e.l', 'level': 637, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 56877367
{'hecke_orbit_code': 49539870812537469, 'n': 1, 'trace_an': 6}
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id: 56877368
{'hecke_orbit_code': 49539870812537469, 'n': 2, 'trace_an': 2}
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id: 56877369
{'hecke_orbit_code': 49539870812537469, 'n': 3, 'trace_an': 4}
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id: 56877370
{'hecke_orbit_code': 49539870812537469, 'n': 4, 'trace_an': -6}
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id: 56877371
{'hecke_orbit_code': 49539870812537469, 'n': 5, 'trace_an': 5}
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