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mf_newforms • Show schema
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{'Nk2': 4440, 'analytic_conductor': 8.863394624362122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, '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': [1110, 3, [371, 667, 631], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 121, 'dim': 10, 'field_disc': -258217599622617792, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 5], [61, 2], [67, 2], [997, 2]], 'field_poly': [144, -312, 844, 100, 458, -62, 123, -6, 15, -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, [256, 672, 1572, 1240, 1110, -260, 487, -24, 23, 0, 1]], [11, [-492, 404, -1, -41, 1, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554544199926870, 'hecke_ring_generator_nbound': 19, '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, 37, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1110.2.i.p', 'level': 1110, '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': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'minimal_twist': '1110.2.i.p', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{6})q^{2}+\\beta _{6}q^{3}+\\beta _{6}q^{4}+\\beta _{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1110.2.i', 'trace_display': [-5, -5, -5, 0], 'trace_hash': 649216914998285271, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.547', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.710', 'prec': 17}, {'__RealLiteral__': 0, 'data': '350.806', 'prec': 24}, {'__RealLiteral__': 0, 'data': '535.862', 'prec': 24}, {'__RealLiteral__': 0, 'data': '22990.097', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [10, -5, -5, -5, -5, 10, 0, 10, -5, 10, -2, -5, 1, 0, -5, -5, 0, -5, -2, -5, 0, 1, -2, -5, -5, -2, 10, 0, 18, -5, -14, -5, 1, 0, 0, 10, 0, 4, 1, -5, -10, 0, 6, 1, 10, 1, 30, 10, -11, -5, 0, 1, -2, -5, 1, 0, -2, -9, -7, 10, -6, 7, 0, 10, 1, -2, -5, 0, 1, 0, 3, -5, -18, -3, 10, -2, -32, 1, -15, 10, -5, 20, -5, 0, 0, -3, -9, -2, -25, -5, -18, 1, 7, -15, -2, -5, 6, -11, 1, 10, -4, 0, 4, 1, 0, -2, 14, -5, 41, -2, 3, 0, -7, -2, 1, -9, -2, -7, 24, -5, 56, 12, -10, 7, 10, 0, -19, -5, -3, 1, -2, 1, 23, 10, -5, 0, -2, -2, 14, 0, -15, -6, -11, -5, -9, 9, 22, 3, 38, -5, -31, -2, 0, 64, 7, -2, -43, 30, 4, -5, 16, 10, -26, -10, 1, -5, 24, 0, -36, 0, 4, -3, 11, 18, 0, 1, 14, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
Hide schema
{'Nk2': 4440, 'analytic_conductor': 8.863394624362122, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [1110, 3, [371, 667, 631], [3, 3, 2]], 'conrey_index': 121, 'cusp_dim': 440, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 549789369430, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 10], 'label': '1110.2.i', 'level': 1110, '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': True, 'level_primes': [2, 3, 5, 37], 'level_radical': 1110, 'mf_dim': 472, 'mf_new_dim': 56, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 456, 'trace_bound': 7, 'trace_display': [0, -4, 0, 4], 'traces': [56, 0, -4, -28, 0, 0, 4, 0, -28, 8, -8, -4, 4, 16, 0, -28, -16, 0, 4, 0, 4, 0, -16, 0, -28, 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mf_twists_cc • Show schema
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id: 47978548
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554544199926870, 'source_is_minimal': True, 'source_label': '1110.2.i.p.121.1', 'source_level': 1110, 'target_conrey_index': 121, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554544199926870, 'target_is_minimal': True, 'target_label': '1110.2.i.p.121.1', 'target_level': 1110, 'twist_class_label': '1110.2.i.p.121.1', 'twist_class_level': 1110, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47978549
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67554544199926870, 'source_is_minimal': True, 'source_label': '1110.2.i.p.121.1', 'source_level': 1110, 'target_conrey_index': 211, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554544199926870, 'target_is_minimal': True, 'target_label': '1110.2.i.p.211.1', 'target_level': 1110, 'twist_class_label': '1110.2.i.p.121.1', 'twist_class_level': 1110, 'twisting_char_label': '37.26', 'twisting_conrey_index': 26, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1693100
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 67554544199926870, 'p': 2}
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id: 1693101
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 67554544199926870, 'p': 3}
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id: 1693102
{'charpoly_factorization': [[[1, 1, 1], 5]], 'hecke_orbit_code': 67554544199926870, 'p': 5}
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id: 1693103
{'charpoly_factorization': [[[256, 672, 1572, 1240, 1110, -260, 487, -24, 23, 0, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 7}
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id: 1693104
{'charpoly_factorization': [[[-492, 404, -1, -41, 1, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 11}
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id: 1693105
{'charpoly_factorization': [[[9409, -48209, 250307, 7198, 25909, -803, 2037, -18, 51, -1, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 13}
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id: 1693106
{'charpoly_factorization': [[[5184, -27936, 154144, 11768, 23064, -2722, 2421, -100, 53, 0, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 17}
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id: 1693107
{'charpoly_factorization': [[[30976, 41536, 52880, 20320, 10996, -1520, 1941, -126, 51, 2, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 19}
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id: 1693108
{'charpoly_factorization': [[[6144, 1952, -196, -88, 1, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 23}
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id: 1693109
{'charpoly_factorization': [[[192, -574, 435, -37, -9, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 29}
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id: 1693110
{'charpoly_factorization': [[[4064, 536, -356, -50, 7, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 31}
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id: 1693111
{'charpoly_factorization': [[[69343957, 0, 1266325, -243682, 71965, 1886, 1945, -178, 25, 0, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 37}
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id: 1693112
{'charpoly_factorization': [[[2359296, -2187264, 3152128, 1195968, 449264, 66616, 11244, 964, 150, 10, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 41}
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id: 1693113
{'charpoly_factorization': [[[-24064, 5280, 696, -164, -3, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 43}
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id: 1693114
{'charpoly_factorization': [[[-6792, 446, 1071, -55, -15, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 47}
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id: 1693115
{'charpoly_factorization': [[[331776, -36864, 195328, 106496, 104336, 25400, 6204, 516, 78, 2, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 53}
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id: 1693116
{'charpoly_factorization': [[[337971456, -256383264, 181787572, -17835950, 3716127, -59535, 40620, -179, 272, 7, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 59}
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id: 1693117
{'charpoly_factorization': [[[43992545536, 6223523968, 1346059264, 80948960, 14055136, 630680, 106148, 2340, 386, 6, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 61}
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id: 1693118
{'charpoly_factorization': [[[3063401104, 735464224, 221015388, 17557216, 3756509, 127233, 55752, 331, 280, 5, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 67}
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id: 1693119
{'charpoly_factorization': [[[82944, 565632, 3814096, 347592, 204052, -1728, 6950, -24, 101, -3, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 71}
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id: 1693120
{'charpoly_factorization': [[[-2048, -3072, -1440, -192, 9, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 73}
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id: 1693121
{'charpoly_factorization': [[[262144, 1622016, 10544128, -3070976, 1198144, -25088, 16612, 934, 295, 15, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 79}
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id: 1693122
{'charpoly_factorization': [[[56430144, -17067264, 9654160, -1616096, 845020, -148636, 33942, -2186, 223, 5, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 83}
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id: 1693123
{'charpoly_factorization': [[[5308416, 3409920, 2383936, 622176, 304416, 85304, 25624, 3882, 463, 25, 1], 1]], 'hecke_orbit_code': 67554544199926870, 'p': 89}
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id: 1693124
{'charpoly_factorization': [[[128, 912, -172, -108, -3, 1], 2]], 'hecke_orbit_code': 67554544199926870, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 16, 'label': '1110.2.i.p', 'level': 1110, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61238599
{'hecke_orbit_code': 67554544199926870, 'n': 1, 'trace_an': 10}
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id: 61238600
{'hecke_orbit_code': 67554544199926870, 'n': 2, 'trace_an': -5}
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id: 61238601
{'hecke_orbit_code': 67554544199926870, 'n': 3, 'trace_an': -5}
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id: 61238602
{'hecke_orbit_code': 67554544199926870, 'n': 4, 'trace_an': -5}
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id: 61238603
{'hecke_orbit_code': 67554544199926870, 'n': 5, 'trace_an': -5}
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id: 61238604
{'hecke_orbit_code': 67554544199926870, 'n': 6, 'trace_an': 10}
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id: 61238605
{'hecke_orbit_code': 67554544199926870, 'n': 7, 'trace_an': 0}
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id: 61238606
{'hecke_orbit_code': 67554544199926870, 'n': 8, 'trace_an': 10}
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id: 61238607
{'hecke_orbit_code': 67554544199926870, 'n': 9, 'trace_an': -5}
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id: 61238608
{'hecke_orbit_code': 67554544199926870, 'n': 10, 'trace_an': 10}
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id: 61238609
{'hecke_orbit_code': 67554544199926870, 'n': 11, 'trace_an': -2}
-
id: 61238610
{'hecke_orbit_code': 67554544199926870, 'n': 12, 'trace_an': -5}
-
id: 61238611
{'hecke_orbit_code': 67554544199926870, 'n': 13, 'trace_an': 1}
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id: 61238612
{'hecke_orbit_code': 67554544199926870, 'n': 14, 'trace_an': 0}
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id: 61238613
{'hecke_orbit_code': 67554544199926870, 'n': 15, 'trace_an': -5}
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id: 61238614
{'hecke_orbit_code': 67554544199926870, 'n': 16, 'trace_an': -5}
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id: 61238615
{'hecke_orbit_code': 67554544199926870, 'n': 17, 'trace_an': 0}
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id: 61238616
{'hecke_orbit_code': 67554544199926870, 'n': 18, 'trace_an': -5}
-
id: 61238617
{'hecke_orbit_code': 67554544199926870, 'n': 19, 'trace_an': -2}
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id: 61238618
{'hecke_orbit_code': 67554544199926870, 'n': 20, 'trace_an': -5}
-
id: 61238619
{'hecke_orbit_code': 67554544199926870, 'n': 21, 'trace_an': 0}
-
id: 61238620
{'hecke_orbit_code': 67554544199926870, 'n': 22, 'trace_an': 1}
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id: 61238621
{'hecke_orbit_code': 67554544199926870, 'n': 23, 'trace_an': -2}
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id: 61238622
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id: 61238856
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