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mf_newforms • Show schema
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{'Nk2': 2012, 'analytic_conductor': 4.016475221670404, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[503, 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': [503, 1, [5], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 10, 'field_disc': 7109059026653, 'field_disc_factorization': [[821, 1], [8659024393, 1]], 'field_poly': [-1, 1, 17, 14, -34, -27, 27, 14, -9, -2, 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, [1, -8, -46, -37, 56, 66, -13, -31, -4, 4, 1]], [3, [1, -14, 5, 86, 54, -75, -85, -10, 18, 8, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036919, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '503.2.a.e', 'level': 503, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [503], 'level_radical': 503, 'minimal_twist': '503.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{9}q^{2}+(-1+\\beta _{1})q^{3}+\\beta _{5}q^{4}-\\beta _{2}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '503.2.a', 'trace_display': [-4, -8, -1, -5], 'trace_hash': 565660110225245416, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.871', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 18014398543036919, 'label': '503.2.a.e.1.5', 'level': 503, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[503, -1]], 31, 4], [[[503, 1]], 11, 2]], 'ALdims': [11, 31], 'Nk2': 2012, 'analytic_conductor': 4.016475221670404, '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': [503, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 42, 'dim': 42, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33554935, 'hecke_orbit_dims': [1, 1, 1, 3, 10, 26], 'label': '503.2.a', 'level': 503, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [503], 'level_radical': 503, 'mf_dim': 43, 'mf_new_dim': 43, 'num_forms': 6, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 42, 'sturm_bound': 84, 'trace_bound': 3, 'trace_display': [1, 2, 0, 4], 'traces': [42, 1, 2, 41, 0, -2, 4, 3, 42, 0, 0, 16, 8, -4, 4, 43, 10, 5, -2, -14, -4, 18, 14, -10, 60, 6, 26, -10, -4, -20, 0, -3, 6, -30, -16, 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mf_twists_cc • Show schema
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id: 43877223
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036919, 'source_is_minimal': True, 'source_label': '503.2.a.e.1.5', 'source_level': 503, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014398543036919, 'target_is_minimal': True, 'target_label': '503.2.a.e.1.5', 'target_level': 503, 'twist_class_label': '503.2.a.e.1.5', 'twist_class_level': 503, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43877224
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036919, 'source_is_minimal': True, 'source_label': '503.2.a.e.1.5', 'source_level': 503, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 6, 'target_hecke_orbit_code': 45035996307263919, 'target_is_minimal': False, 'target_label': '4527.2.a.k.1.6', 'target_level': 4527, 'twist_class_label': '503.2.a.e.1.5', 'twist_class_level': 503, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43877225
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 5, 'source_hecke_orbit_code': 18014398543036919, 'source_is_minimal': True, 'source_label': '503.2.a.e.1.5', 'source_level': 503, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 67553994444119920, 'target_is_minimal': False, 'target_label': '8048.2.a.p.1.10', 'target_level': 8048, 'twist_class_label': '503.2.a.e.1.5', 'twist_class_level': 503, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 973575
{'charpoly_factorization': [[[1, -8, -46, -37, 56, 66, -13, -31, -4, 4, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 2}
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id: 973576
{'charpoly_factorization': [[[1, -14, 5, 86, 54, -75, -85, -10, 18, 8, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 3}
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id: 973577
{'charpoly_factorization': [[[1, -9, 18, 16, -59, 7, 41, -7, -11, 1, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 5}
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id: 973578
{'charpoly_factorization': [[[-1, -4, 86, -214, 23, 228, 8, -64, -9, 5, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 7}
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id: 973579
{'charpoly_factorization': [[[311, 1920, 1973, -1781, -1961, 537, 515, -80, -41, 3, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 11}
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id: 973580
{'charpoly_factorization': [[[-19, 4107, 5985, -481, -4882, -2777, -212, 307, 120, 18, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 13}
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id: 973581
{'charpoly_factorization': [[[30151, -12996, -29792, 3190, 11026, 1710, -1167, -367, 2, 11, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 17}
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id: 973582
{'charpoly_factorization': [[[8863, -26147, -7633, 23773, -3789, -4568, 1396, 144, -73, 0, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 19}
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id: 973583
{'charpoly_factorization': [[[-2281, 9002, 28798, -21377, -12083, 5432, 2080, -275, -102, 2, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 23}
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id: 973584
{'charpoly_factorization': [[[-1397, -8766, -15421, -187, 20531, 13633, 487, -702, -65, 9, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 29}
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id: 973585
{'charpoly_factorization': [[[8207, -5501, -57982, 31755, 27453, -2931, -3545, -233, 127, 22, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 31}
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id: 973586
{'charpoly_factorization': [[[-3774629, -929679, 1565189, 560598, -111154, -71008, -5712, 1859, 437, 35, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 37}
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id: 973587
{'charpoly_factorization': [[[-17357, -111711, 143286, 149773, -84240, -7004, 6310, -59, -150, 4, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 41}
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id: 973588
{'charpoly_factorization': [[[-147629, 16858, 511389, 368059, -18426, -78150, -24232, -2646, 5, 20, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 43}
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id: 973589
{'charpoly_factorization': [[[34183, 173434, 234373, -1951, -115790, -17637, 6796, 757, -148, -7, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 47}
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id: 973590
{'charpoly_factorization': [[[30585517, -10539391, -9677101, 827393, 972179, 78887, -20053, -2987, 40, 24, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 53}
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id: 973591
{'charpoly_factorization': [[[-3373, 22898, -4680, -157745, 106944, 453, -14454, 3243, -123, -17, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 59}
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id: 973592
{'charpoly_factorization': [[[160395869, 192168049, 30652592, -9861764, -2056331, 177043, 43009, -1337, -358, 4, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 61}
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id: 973593
{'charpoly_factorization': [[[-52161527, -188372124, 68241481, 3632530, -2954276, 44201, 47943, -1216, -352, 6, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 67}
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id: 973594
{'charpoly_factorization': [[[14183807, -195049108, 61525134, 13001388, -3793615, -182955, 66864, 594, -448, 1, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 71}
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id: 973595
{'charpoly_factorization': [[[-3955559, -6719488, -1983330, 1173628, 568868, -14845, -33800, -3742, 127, 31, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 73}
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id: 973596
{'charpoly_factorization': [[[8912581, 43253952, 49214936, 2538597, -5921284, 334500, 91361, -4173, -542, 10, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 79}
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id: 973597
{'charpoly_factorization': [[[40035623, -2541538, -15595528, 801664, 1491862, -182619, -33621, 6610, -161, -22, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 83}
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id: 973598
{'charpoly_factorization': [[[-789547, -7972537, 3494049, 1459657, -583997, -71001, 27890, 739, -380, -1, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 89}
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id: 973599
{'charpoly_factorization': [[[3229338523, 3026058216, 985216534, 111741584, -7165096, -2939025, -240656, -276, 1029, 57, 1], 1]], 'hecke_orbit_code': 18014398543036919, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '503.2.a.e', 'level': 503, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 146936000
{'hecke_orbit_code': 18014398543036919, 'n': 1, 'trace_an': 10}
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id: 146936001
{'hecke_orbit_code': 18014398543036919, 'n': 2, 'trace_an': -4}
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id: 146936002
{'hecke_orbit_code': 18014398543036919, 'n': 3, 'trace_an': -8}
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id: 146936003
{'hecke_orbit_code': 18014398543036919, 'n': 4, 'trace_an': 4}
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id: 146936004
{'hecke_orbit_code': 18014398543036919, 'n': 5, 'trace_an': -1}
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id: 146936005
{'hecke_orbit_code': 18014398543036919, 'n': 6, 'trace_an': -2}
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id: 146936006
{'hecke_orbit_code': 18014398543036919, 'n': 7, 'trace_an': -5}
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id: 146936007
{'hecke_orbit_code': 18014398543036919, 'n': 8, 'trace_an': -3}
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id: 146936008
{'hecke_orbit_code': 18014398543036919, 'n': 9, 'trace_an': -2}
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id: 146936009
{'hecke_orbit_code': 18014398543036919, 'n': 10, 'trace_an': -4}
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id: 146936010
{'hecke_orbit_code': 18014398543036919, 'n': 11, 'trace_an': -3}
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id: 146936011
{'hecke_orbit_code': 18014398543036919, 'n': 12, 'trace_an': -7}
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id: 146936012
{'hecke_orbit_code': 18014398543036919, 'n': 13, 'trace_an': -18}
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id: 146936013
{'hecke_orbit_code': 18014398543036919, 'n': 14, 'trace_an': 1}
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id: 146936014
{'hecke_orbit_code': 18014398543036919, 'n': 15, 'trace_an': -2}
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id: 146936015
{'hecke_orbit_code': 18014398543036919, 'n': 16, 'trace_an': -4}
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id: 146936016
{'hecke_orbit_code': 18014398543036919, 'n': 17, 'trace_an': -11}
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id: 146936017
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id: 146936993
{'hecke_orbit_code': 18014398543036919, 'n': 994, 'trace_an': 112}
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id: 146936994
{'hecke_orbit_code': 18014398543036919, 'n': 995, 'trace_an': 64}
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id: 146936995
{'hecke_orbit_code': 18014398543036919, 'n': 996, 'trace_an': -159}
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id: 146936996
{'hecke_orbit_code': 18014398543036919, 'n': 997, 'trace_an': 66}
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id: 146936997
{'hecke_orbit_code': 18014398543036919, 'n': 998, 'trace_an': -47}
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id: 146936998
{'hecke_orbit_code': 18014398543036919, 'n': 999, 'trace_an': -56}
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id: 146936999
{'hecke_orbit_code': 18014398543036919, 'n': 1000, 'trace_an': 123}