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{'Nk2': 16100, 'analytic_conductor': 32.13978681356535, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [7, 1], [23, -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': [4025, 1, [2577, 1151, 3501], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 163031518757, 'field_disc_factorization': [[163031518757, 1]], 'field_poly': [3, 7, -16, -22, 28, 9, -10, -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, [3, 7, -16, -22, 28, 9, -10, -1, 1]], [3, [-1, 5, 15, -47, -3, 27, -4, -4, 1]], [11, [-183, -908, -982, -28, 297, 43, -30, -3, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208338873, 'hecke_ring_generator_nbound': 2, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4025.2.a.v', 'level': 4025, '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': [5, 7, 23], 'level_radical': 805, 'minimal_twist': '4025.2.a.u', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{4})q^{3}+(1+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4025.2.a', 'trace_display': [1, 4, 0, -8], 'trace_hash': 2238584997955482559, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.584', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.934', 'prec': 17}, {'__RealLiteral__': 0, 'data': '127.187', 'prec': 24}, {'__RealLiteral__': 0, 'data': '22.927', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3930.677', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [8, 1, 4, 5, 0, -1, -8, 0, 0, 0, 3, 9, 5, -1, 0, -1, 5, 2, -2, 0, -4, 21, 8, -6, 0, 18, 7, -5, -9, 0, -3, 6, 4, -10, 0, 16, 6, 4, -2, 0, -7, 1, 8, 4, 0, 1, 22, 9, 8, 0, -12, 11, 21, -15, 0, 0, 8, 16, 14, 0, 8, 12, 0, -40, 0, 55, 21, 3, 4, 0, 11, -1, 26, -41, 0, 21, -3, 17, -16, 0, -20, -1, 20, -9, 0, 14, -29, 32, 15, 0, -5, 5, 19, 21, 0, 52, 1, 1, 15, 0, 13, 3, 51, 5, 0, 45, 15, 6, -18, 0, 38, 1, 29, -5, 0, -12, 14, 7, -5, 0, -19, -15, 21, 3, 0, -2, 49, 6, -1, 0, 28, 20, 2, 19, 0, -12, 13, -1, -21, 0, 20, -39, 38, 2, 0, 23, 4, 13, 11, 0, -1, 9, -6, -21, 0, 35, 39, 18, 20, 0, -8, -53, 68, -102, 0, 22, -27, 6, 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-
mf_newspaces • Show schema
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{'ALdims': [27, 22, 31, 18, 29, 27, 21, 35], 'Nk2': 16100, 'analytic_conductor': 32.13978681356535, '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': [4025, 1, [2577, 1151, 3501], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 469, 'dim': 210, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 11], 'hecke_orbit_code': 33558457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 8, 8, 8, 8, 8, 12, 12, 14, 14, 14, 14, 21, 21], 'label': '4025.2.a', 'level': 4025, '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': [5, 7, 23], 'level_radical': 805, 'mf_dim': 492, 'mf_new_dim': 210, 'num_forms': 31, 'plus_dim': 93, 'prim_orbit_index': 1, 'relative_dim': 210, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, 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0, -424, 100, 56, -228, 0, 286, -140, -24, -140, 0, -104, -144, 24, 324, 0, -108, 116, -248, 316, 0, -424, 66, 24, -180, 0, -88, -48, -50, -304, 0, -12, 190, -196, 124, 0, -1180, 0, -16, 92, 0, 56, 32, 24, -484, 0, -320, -192, -60, -236, 0, -36, -176, -60, 124, 0, -346, 152, 276, 64, 0, 574, 0, -336, -712, 0, 12, -32, 114, -184, 0, 172, -180, 44, -526, 0, -400, -128, -246, -724, 0, -324, -70, -180, -620, 0, 136, 96, 100, 24, 0, -256, 258, -20, 88, 0, -584, 124, 86, 692, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48377205
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 94575592208338873, 'source_is_minimal': True, 'source_label': '4025.2.a.v.1.7', 'source_level': 4025, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 94575592208338873, 'target_is_minimal': True, 'target_label': '4025.2.a.v.1.7', 'target_level': 4025, 'twist_class_label': '4025.2.a.u.1.2', 'twist_class_level': 4025, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48377206
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 7, 'source_hecke_orbit_code': 94575592208338873, 'source_is_minimal': True, 'source_label': '4025.2.a.v.1.7', 'source_level': 4025, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580968377, 'target_is_minimal': True, 'target_label': '4025.2.a.u.1.2', 'target_level': 4025, 'twist_class_label': '4025.2.a.u.1.2', 'twist_class_level': 4025, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3474700
{'charpoly_factorization': [[[3, 7, -16, -22, 28, 9, -10, -1, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 2}
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id: 3474701
{'charpoly_factorization': [[[-1, 5, 15, -47, -3, 27, -4, -4, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 3}
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id: 3474702
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 94575592208338873, 'p': 5}
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id: 3474703
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 94575592208338873, 'p': 7}
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id: 3474704
{'charpoly_factorization': [[[-183, -908, -982, -28, 297, 43, -30, -3, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 11}
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id: 3474705
{'charpoly_factorization': [[[19, 314, 492, -741, -78, 193, -30, -5, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 13}
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id: 3474706
{'charpoly_factorization': [[[4083, -925, -3855, -479, 708, 118, -43, -5, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 17}
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id: 3474707
{'charpoly_factorization': [[[675, -549, -981, 295, 281, -44, -29, 2, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 19}
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id: 3474708
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 94575592208338873, 'p': 23}
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id: 3474709
{'charpoly_factorization': [[[7311, 24055, 21449, 4576, -1661, -754, -55, 9, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 29}
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id: 3474710
{'charpoly_factorization': [[[97, 724, 1770, 1638, 371, -157, -46, 3, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 31}
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id: 3474711
{'charpoly_factorization': [[[-210905, 149186, 37972, -44133, 5779, 1071, -168, -6, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 37}
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id: 3474712
{'charpoly_factorization': [[[209409, 459256, 330800, 90672, 4361, -1719, -182, 7, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 41}
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id: 3474713
{'charpoly_factorization': [[[356869, 277607, -17532, -36475, 1524, 1597, -158, -8, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 43}
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id: 3474714
{'charpoly_factorization': [[[-269835, -48392, 80447, -1853, -6164, 748, 101, -22, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 47}
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id: 3474715
{'charpoly_factorization': [[[957, 20290, -37262, 22791, -5673, 283, 121, -21, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 53}
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id: 3474716
{'charpoly_factorization': [[[-2725305, 2827324, -56686, -183648, 11523, 2991, -207, -14, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 59}
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id: 3474717
{'charpoly_factorization': [[[23917, 26869, -27643, -8609, 2629, 527, -84, -8, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 61}
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id: 3474718
{'charpoly_factorization': [[[46337, 125817, 83359, -8140, -10885, 1940, 23, -21, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 67}
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id: 3474719
{'charpoly_factorization': [[[88041, 101711, -252535, -56534, 10135, 1650, -175, -11, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 71}
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id: 3474720
{'charpoly_factorization': [[[40969, -153687, 114173, -805, -10389, 1223, 132, -26, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 73}
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id: 3474721
{'charpoly_factorization': [[[-1052537, -375165, 188784, 70905, -6221, -3330, -164, 16, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 79}
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id: 3474722
{'charpoly_factorization': [[[195159, -471818, 289097, -47632, -7670, 2513, -59, -20, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 83}
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id: 3474723
{'charpoly_factorization': [[[19143423, 3575050, -1755166, -242995, 42348, 4063, -354, -15, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 89}
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id: 3474724
{'charpoly_factorization': [[[124907, -52, -91898, -19957, 7338, 931, -230, -1, 1], 1]], 'hecke_orbit_code': 94575592208338873, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '4025.2.a.v', 'level': 4025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64885687
{'hecke_orbit_code': 94575592208338873, 'n': 1, 'trace_an': 8}
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id: 64885688
{'hecke_orbit_code': 94575592208338873, 'n': 2, 'trace_an': 1}
-
id: 64885689
{'hecke_orbit_code': 94575592208338873, 'n': 3, 'trace_an': 4}
-
id: 64885690
{'hecke_orbit_code': 94575592208338873, 'n': 4, 'trace_an': 5}
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id: 64885691
{'hecke_orbit_code': 94575592208338873, 'n': 5, 'trace_an': 0}
-
id: 64885692
{'hecke_orbit_code': 94575592208338873, 'n': 6, 'trace_an': -1}
-
id: 64885693
{'hecke_orbit_code': 94575592208338873, 'n': 7, 'trace_an': -8}
-
id: 64885694
{'hecke_orbit_code': 94575592208338873, 'n': 8, 'trace_an': 0}
-
id: 64885695
{'hecke_orbit_code': 94575592208338873, 'n': 9, 'trace_an': 0}
-
id: 64885696
{'hecke_orbit_code': 94575592208338873, 'n': 10, 'trace_an': 0}
-
id: 64885697
{'hecke_orbit_code': 94575592208338873, 'n': 11, 'trace_an': 3}
-
id: 64885698
{'hecke_orbit_code': 94575592208338873, 'n': 12, 'trace_an': 9}
-
id: 64885699
{'hecke_orbit_code': 94575592208338873, 'n': 13, 'trace_an': 5}
-
id: 64885700
{'hecke_orbit_code': 94575592208338873, 'n': 14, 'trace_an': -1}
-
id: 64885701
{'hecke_orbit_code': 94575592208338873, 'n': 15, 'trace_an': 0}
-
id: 64885702
{'hecke_orbit_code': 94575592208338873, 'n': 16, 'trace_an': -1}
-
id: 64885703
{'hecke_orbit_code': 94575592208338873, 'n': 17, 'trace_an': 5}
-
id: 64885704
{'hecke_orbit_code': 94575592208338873, 'n': 18, 'trace_an': 2}
-
id: 64885705
{'hecke_orbit_code': 94575592208338873, 'n': 19, 'trace_an': -2}
-
id: 64885706
{'hecke_orbit_code': 94575592208338873, 'n': 20, 'trace_an': 0}
-
id: 64885707
{'hecke_orbit_code': 94575592208338873, 'n': 21, 'trace_an': -4}
-
id: 64885708
{'hecke_orbit_code': 94575592208338873, 'n': 22, 'trace_an': 21}
-
id: 64885709
{'hecke_orbit_code': 94575592208338873, 'n': 23, 'trace_an': 8}
-
id: 64885710
{'hecke_orbit_code': 94575592208338873, 'n': 24, 'trace_an': -6}
-
id: 64885711
{'hecke_orbit_code': 94575592208338873, 'n': 25, 'trace_an': 0}
-
id: 64885712
{'hecke_orbit_code': 94575592208338873, 'n': 26, 'trace_an': 18}
-
id: 64885713
{'hecke_orbit_code': 94575592208338873, 'n': 27, 'trace_an': 7}
-
id: 64885714
{'hecke_orbit_code': 94575592208338873, 'n': 28, 'trace_an': -5}
-
id: 64885715
{'hecke_orbit_code': 94575592208338873, 'n': 29, 'trace_an': -9}
-
id: 64885716
{'hecke_orbit_code': 94575592208338873, 'n': 30, 'trace_an': 0}
-
id: 64885717
{'hecke_orbit_code': 94575592208338873, 'n': 31, 'trace_an': -3}
-
id: 64885718
{'hecke_orbit_code': 94575592208338873, 'n': 32, 'trace_an': 6}
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id: 64885943
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id: 64885944
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