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mf_newforms • Show schema
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 5, 'char_parity': 1, 'char_values': [400, 5, [351, 101, 177], [5, 5, 2]], 'cm_discs': [], 'conrey_index': 81, 'conrey_indexes': [81, 161, 241, 321], 'dim': 12, 'field_disc': 53290552267578125, 'field_disc_factorization': [[5, 9], [165181, 2]], 'field_poly': [16, 168, 688, 84, 1473, 786, 342, -6, 93, -24, 13, -3, 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': [[3, [16, -32, 608, 1414, 1403, 281, 637, 124, 23, -4, 8, 2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22519372559942032, 'hecke_ring_generator_nbound': 7, '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, 25, 4, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '400.2.u.f', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '100.2.g.a', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{3}q^{3}+(-\\beta _{1}+\\beta _{2}+\\beta _{3}-2\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.2.u', 'trace_display': [0, -2, -4, 2], 'trace_hash': 950701902873657345, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.659', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.665', 'prec': 17}, {'__RealLiteral__': 0, 'data': '476.538', 'prec': 24}, {'__RealLiteral__': 0, 'data': '600.189', 'prec': 24}, {'__RealLiteral__': 0, 'data': '40914.574', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [12, 0, -2, 0, -4, 0, 2, 0, -3, 0, 5, 0, -2, 0, -18, 0, 1, 0, 8, 0, 2, 0, 6, 0, -26, 0, 34, 0, -18, 0, -12, 0, -35, 0, 3, 0, 13, 0, -22, 0, -23, 0, -50, 0, 71, 0, -1, 0, 34, 0, -14, 0, 21, 0, -5, 0, 72, 0, -9, 0, -26, 0, 32, 0, -18, 0, 37, 0, -44, 0, -21, 0, 18, 0, 73, 0, -60, 0, 24, 0, 18, 0, 46, 0, -16, 0, -57, 0, -2, 0, 32, 0, 22, 0, -6, 0, -7, 0, -40, 0, 62, 0, -36, 0, -39, 0, -16, 0, -1, 0, 48, 0, -24, 0, -51, 0, -32, 0, 4, 0, -22, 0, 43, 0, -34, 0, 27, 0, -35, 0, 25, 0, -27, 0, 1, 0, 52, 0, -12, 0, -36, 0, -110, 0, 71, 0, -49, 0, 78, 0, 30, 0, 36, 0, -26, 0, 42, 0, -74, 0, -1, 0, -10, 0, 45, 0, -42, 0, -3, 0, -42, 0, 11, 0, 42, 0, -51, 0, 34, 0, -15, 0, 76, 0, 42, 0, 5, 0, -19, 0, -11, 0, -46, 0, 29, 0, -68, 0, 74, 0, 22, 0, 37, 0, -14, 0, 96, 0, -45, 0, 42, 0, -4, 0, 70, 0, 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-43, 0, 74, 0, -26, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 1, 0, -2, 0, 1, 1, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, -1, 1, 0, -2, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, -1, -1, 0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 1, -1, 0, -1, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 1, 1, 0, 0, -1, 0, -2, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -1, -1, 0, 2, 3, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 0, -2, 2, 0, 1, 1, -2, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, -1, 1, 1, 0, -2, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, -1, 2, 1, 1, 0, 0, 0, -1, 0], [0, 0, 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-3, -8], [3, 4, -9, -3, 3, 6, 6, -1, 0, -1, -5, 5], [-11, -4, -3, 2, -7, 6, -11, 1, 2, 3, 7, 6], [-2, 3, -4, -2, -1, -13, 2, -2, 14, 0, 2, 1], [6, 3, 1, -1, -10, 13, 12, -3, -18, 5, 6, 1], [6, -4, 3, 0, -3, 0, 0, 2, -6, 0, 0, 2], [4, -2, 2, 3, 0, -4, 4, -2, -2, -2, -6, -4], [-8, 0, 2, 2, 1, -8, -22, 0, 22, 0, 0, 0], [-11, -1, -5, 4, 9, -5, 4, 4, 15, -8, -4, -4], [-1, -2, -2, 3, -4, 4, -1, -3, 0, 2, 1, 4], [1, 4, -6, -3, 3, 5, 5, 1, 0, 1, -2, 2], [5, -5, 7, 4, 4, -11, 0, 8, 7, -3, -5, -4], [0, 0, 6, 6, -3, 0, 2, 0, -2, 0, 0, 0], [-13, 3, -2, -8, 1, 4, -13, -6, 9, 2, -2, 4], [-6, 2, -2, -2, 7, 0, -20, -2, 16, 2, 4, 2], [5, 2, 0, 2, -6, 13, -8, -2, 4, 0, 4, 4], [1, -3, 3, 1, -2, 6, 1, 6, 0, -2, -1, 4], [-1, 4, 1, -2, 2, 13, 13, 5, 0, 5, 5, -5], [9, -1, 4, -3, 3, -6, -6, 6, 0, 6, 3, -3], [2, 8, -8, -8, 8, 4, 4, 4, 0, 4, 0, 0], [11, -11, 2, -2, -4, 13, -2, -5, -13, 4, 2, -1], [5, -2, 5, -4, -1, 7, 3, -2, -6, 7, -5, 1], [0, -1, 5, -1, -4, -9, 4, 1, -2, 5, -2, -7], [-19, 2, -4, -3, -2, 8, -19, -3, -2, 4, 5, 8], [-5, -2, -1, 2, -5, 13, -1, -10, -8, 5, 5, 5], [5, -4, 7, 4, 5, 1, 13, 10, -6, -5, -5, -5], [11, 3, -8, -6, 6, -1, -1, -2, 0, -2, -5, 5], [8, 4, -3, -2, 1, 6, 8, -4, -20, 3, 2, 6], [0, -2, 0, 0, -2, 11, 13, -4, -9, 4, 0, 2], [-10, -2, -2, 4, -4, 4, -10, -3, -2, 2, 1, 4], [14, -8, 7, 2, -5, 2, 2, 0, -12, -4, -2, -4], [-1, 1, -1, 1, 1, 2, -18, 2, -3, -3, 1, -1], [-4, -2, 0, -3, -2, 0, -4, 2, -14, 0, 2, 0], [3, -4, 3, -3, 3, 10, 10, -1, 0, -1, -1, 1], [-2, -3, 0, 4, -1, 5, -20, -2, -4, 0, 2, 1], [-6, -1, -1, 2, -7, -6, -5, 1, 7, -4, -2, 2], [-12, -2, 4, 5, 2, -8, -12, 6, 10, -4, -2, -8], [0, 5, 3, -4, -7, -5, -4, -5, -4, 8, 4, 3], [-1, 0, 13, 0, -1, -3, -23, -2, 4, 1, 1, 1], [4, 1, -7, -11, 11, -13, -13, 1, 0, 1, -6, 6], [9, 8, -5, -8, 8, 1, 1, -1, 0, -1, 3, -3], [-3, 7, -7, -9, 9, 9, 9, 2, 0, 2, 0, 0], [-1, -7, 10, 4, -4, -19, -19, 4, 0, 4, 3, -3], [-6, 4, -2, -4, -6, 3, -5, -12, 3, 6, 6, 6], [21, -2, 9, 4, 4, 10, 2, 2, 2, 3, -4, -7], [-2, -4, 4, 2, -1, -16, -2, 4, 10, -2, -8, -6], [8, -4, 6, 0, -1, -10, -8, 4, 16, 2, -8, -10], [0, -5, 8, 6, 1, -7, 14, 2, 6, -2, 0, -1], [16, 8, -8, -4, 4, 12, 12, -4, 0, -4, 0, 0], [8, 2, 3, 0, 5, -6, 8, 0, 14, -3, -6, -6], [-12, 9, 2, -6, 11, -4, -12, 3, 19, -2, -1, -4], [3, -12, 3, 7, -2, 12, -3, -4, -10, 7, -3, 2], [6, -10, 3, 0, -3, 10, 0, 4, -6, 0, 0, 4], [-2, -2, 6, -5, -11, 3, -5, -11, -3, 10, 5, -1], [-1, 1, 1, 5, 4, -18, 5, 0, 6, -10, -5, -10], [-22, 2, 2, 6, -5, -12, -16, -2, 12, -2, 4, 6], [-8, 13, -16, -13, -8, 16, -12, -16, -8, 8, 8, 8], [14, -2, -1, 3, -3, 0, 0, -2, 0, -2, -3, 3], [2, -1, -5, -1, 0, 11, -4, 0, -11, 2, -2, 0], [-2, -4, 2, 2, 7, -14, 10, 4, -2, -4, -8, -4], [-6, -6, -1, -6, -5, 0, -6, -2, 0, 12, 6, 10], [-8, -2, 5, 4, -3, -15, -4, 2, 8, -1, -4, -3], [-14, 10, -1, 2, 3, 0, 2, 2, 16, -4, -2, -2], [-20, 0, -2, -10, 10, 8, 8, 0, 0, 0, -2, 2], [-15, 8, -3, 6, -6, -3, -3, -1, 0, -1, 5, -5], [1, -2, 2, 7, -7, -3, -3, 3, 0, 3, 0, 0], [16, 7, 5, -1, -6, 12, -1, -3, -17, 2, 1, -1], [-12, 3, 6, -1, -6, -10, -14, -3, 8, 10, 6, -4], [8, 7, -7, 1, 8, 10, 1, 1, -7, -2, -1, -1], [-1, -2, 5, 7, 4, -10, -9, 8, 6, -9, 1, -4], [-8, 2, 0, 4, 2, 0, -8, 9, -18, 0, 9, 0], [-8, 0, -4, 6, -2, 1, 3, -4, 1, -4, 8, 2], [5, 2, -1, -5, -4, 15, -5, -11, -10, 10, 5, -1], [3, -4, 5, 6, 1, -10, 3, 11, -18, -5, 1, -10], [-16, 1, -5, 0, 5, -13, 0, 5, 16, 0, 0, 5], [2, -14, 1, 2, 1, 0, 2, 4, 0, -4, -2, 0], [-1, 2, -5, 1, -3, 10, -1, -2, 2, 5, 8, 10], [2, 4, -13, -6, 7, 14, -6, 0, -8, 12, 6, 12], [6, 0, -5, -9, -5, 10, 6, -11, -20, 5, -1, 10], [-8, 7, -7, -6, 6, -6, -6, 7, 0, 7, 0, 0], [-3, 2, 3, 0, -1, -7, -13, -2, 8, -1, 3, 1], [-6, -5, 10, 7, -4, -16, -6, -8, 20, 2, 6, 4], [6, -2, -11, 5, 16, -5, 5, 12, -1, -10, -5, 2], [-16, -7, 2, 1, 12, -38, -10, 7, 24, -6, -14, -8], [-16, -5, 12, 15, 0, -28, -4, 5, 14, -8, -10, -2], [7, -6, -5, 1, 2, -2, 7, 4, 0, 3, -7, -2], [1, 8, -7, -6, 6, 13, 13, -1, 0, -1, 1, -1], [-11, -2, -1, 3, 4, -25, 3, 5, 14, -6, -3, -1], [-2, 2, 3, 6, -5, 7, -8, -2, 4, -1, 4, 5], [-4, -5, 4, -2, -1, -8, -4, -3, -3, -4, -11, -8], [8, -6, 2, 3, 5, -18, -11, 10, 13, -2, -8, -5], [-7, 13, -9, -12, -6, 9, 14, -12, -3, 5, 7, 6], [26, 4, -3, -6, 1, 6, 26, -2, -20, 3, 4, 6], [6, -1, 12, 6, 11, -24, 6, 15, 29, -12, -9, -24], [18, 7, -8, -3, -4, 44, 14, -7, -28, 2, 14, 12], [7, 0, -4, -3, -4, 8, 7, 3, -8, 4, 11, 8], [-19, -1, -5, -2, 3, -7, -2, 0, 17, 4, 2, 4], [36, -6, 1, -2, 5, 15, 8, 6, 4, -3, -12, -9], [5, 4, -13, -6, 3, -1, 25, 6, -2, -1, -5, -3], [-2, 4, -8, -9, -4, 16, -2, -16, 6, 8, 0, 16]], 'char_orbit_index': 21, 'field_poly': [16, 168, 688, 84, 1473, 786, 342, -6, 93, -24, 13, -3, 1], 'hecke_orbit_code': 22519372559942032, 'hecke_ring_character_values': [[351, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [101, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [177, [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 438461548785, 1753846195140, 1753846195140, 3507692390280, 3507692390280, 8769230975700, 3507692390280, 8769230975700, 17538461951400, 17538461951400], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 1, 0, -1, 1, -4, 0, 1, 0], [2, 1, 0, 0, 7, 5, 4, -1, -6, 1, 2, 1], [-8, -4, 15, 4, -8, 10, 24, -16, -2, 8, 8, 8], [-47, -75, 78, 69, -69, 29, 29, -12, 0, -12, 3, -3], [12, -244, 137, 66, -71, 177, 66, 57, 54, -132, -66, -75], [-220, -312, 128, -491, -184, -256, -220, 78, 844, -128, -178, -256], [-1852, -184, -788, -1357, -1037, -2973, -2744, 184, 3112, 385, -368, -753], [2009, 2048, -7800, -3405, 652, -5310, -7165, 1304, 4658, 705, -2009, -652], [25394, 22335, -27435, -12915, 12915, -7110, -7110, 2700, 0, 2700, -5100, 5100], [45465, 90074, -49365, -7815, 41550, -23925, -7815, 6705, -53280, 15630, 7815, 22335]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [112273499910, 521633846125, 442357548822, 677052260712, 224325622533, 129671476953, 3519097812, 25045472937, -4900209927, 3020952123, -576792708, 260325772], [178985069048, 2016280256236, -2849443497756, 3903365483097, 2207600053386, 1125752172738, -127593738606, 339987222837, -97783045044, 48283397793, -11783661403, 3457672033], [391154012184, 2657911506232, 489856121406, 8668716529509, 4299712819554, 1832724711006, 23885891676, 481102476429, -119576878026, 67292419131, -15433734165, 5369632561], [-273874062464, 21091602933640, -5927387741190, 28540425731691, 15333778688490, 7906799179014, -814213247460, 2276267517771, -633522002730, 314418060009, -74034744959, 22373133631], [-5593310307856, -23515293707092, -6601997100420, -46013446580871, -23654460062430, -10403352643614, 95827068690, -2749867795311, 696924743820, -382317412959, 87105581309, -29615632063], [-17878470653712, 67498588603448, -80865862575282, 96648914614131, 56181193046322, 34599514729674, -6581106786312, 10803833121471, -3218484118998, 1484218111509, -361617020679, 99321102659], [2898411243400, 32659532805012, -13230315931086, 63421806854271, 34765432275066, 16674062237514, -1255570461996, 4786319147691, -1308046874814, 666492738129, -157422019691, 48894251523], [-37003359759088, -90978016936148, -39698554795488, -260834151846351, -140798466578802, -55756593480954, -1748332186158, -14810975764191, 3656650156068, -2090376253539, 478101391109, -167923324379], [77595685775224, 336336630781804, -94750243258356, 719350254826743, 399600830367126, 182680683235422, -10432981854546, 52158480741663, -14065746308484, 7294073305527, -1717504490237, 542891618887], [26266096925344, 363489467079144, -43808899935726, 796406422106523, 426485463435546, 197679060702342, -9699921955716, 54915725330643, -14590245523914, 7631251682697, -1777970044487, 572643183207]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '400.2.u.f', 'level': 400, 'maxp': 997, 'weight': 2}
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{'Nk2': 1600, 'analytic_conductor': 3.1940160808512155, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 5, 'char_parity': 1, 'char_values': [400, 5, [351, 101, 177], [5, 5, 2]], 'conrey_index': 81, 'cusp_dim': 216, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1374423089552, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 12, 16], 'label': '400.2.u', 'level': 400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 264, 'mf_new_dim': 64, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 14, 'sturm_bound': 120, 'trace_bound': 5, 'trace_display': [0, 3, -5, 8], 'traces': [56, 0, 3, 0, -5, 0, 8, 0, -15, 0, 9, 0, -5, 0, 7, 0, -1, 0, 9, 0, -12, 0, -15, 0, -7, 0, 9, 0, -5, 0, -3, 0, -5, 0, 24, 0, 12, 0, -11, 0, -1, 0, -8, 0, -1, 0, 3, 0, 16, 0, -46, 0, 0, 0, 9, 0, -18, 0, 21, 0, -13, 0, 54, 0, -26, 0, 45, 0, 3, 0, -11, 0, -1, 0, 3, 0, -24, 0, -7, 0, 21, 0, -35, 0, 12, 0, -67, 0, -18, 0, 36, 0, 62, 0, 3, 0, -13, 0, -88, 0, -18, 0, -67, 0, -64, 0, -116, 0, 11, 0, -37, 0, -42, 0, -57, 0, 12, 0, -14, 0, -19, 0, 93, 0, -5, 0, -5, 0, -36, 0, 21, 0, -16, 0, -89, 0, 7, 0, 5, 0, -21, 0, 2, 0, 3, 0, 61, 0, 6, 0, 88, 0, 52, 0, 1, 0, 14, 0, 13, 0, -40, 0, -79, 0, 75, 0, -115, 0, 5, 0, -4, 0, -8, 0, 68, 0, 39, 0, 63, 0, -61, 0, 141, 0, 31, 0, 83, 0, 48, 0, -59, 0, 58, 0, -11, 0, 0, 0, 116, 0, 22, 0, 150, 0, 92, 0, 264, 0, 43, 0, 69, 0, 51, 0, 102, 0, -24, 0, 81, 0, 40, 0, -79, 0, 12, 0, 5, 0, 0, 0, 32, 0, -18, 0, 105, 0, 11, 0, 9, 0, -38, 0, 20, 0, -77, 0, -71, 0, 6, 0, -188, 0, -21, 0, -72, 0, 26, 0, 8, 0, 36, 0, 65, 0, 63, 0, 107, 0, -12, 0, 41, 0, 28, 0, -171, 0, -56, 0, -66, 0, -58, 0, -183, 0, -22, 0, -134, 0, 57, 0, 159, 0, -234, 0, 19, 0, 20, 0, -246, 0, -96, 0, -232, 0, 139, 0, -236, 0, -97, 0, -29, 0, 91, 0, -160, 0, 19, 0, -111, 0, 56, 0, -13, 0, -25, 0, -79, 0, 36, 0, -27, 0, 91, 0, -259, 0, -33, 0, -117, 0, 95, 0, 52, 0, -17, 0, 29, 0, -18, 0, 170, 0, -85, 0, 117, 0, -104, 0, 13, 0, 41, 0, -173, 0, 3, 0, -7, 0, -34, 0, 28, 0, -53, 0, 227, 0, 14, 0, 91, 0, 107, 0, 225, 0, -44, 0, 224, 0, -45, 0, -151, 0, -210, 0, 47, 0, 75, 0, 244, 0, -6, 0, 223, 0, -165, 0, 314, 0, -94, 0, 139, 0, -140, 0, 143, 0, -13, 0, 189, 0, -21, 0, -133, 0, 34, 0, 22, 0, -20, 0, 15, 0, 46, 0, 257, 0, 63, 0, 49, 0, 33, 0, 40, 0, 0, 0, -178, 0, -6, 0, -198, 0, 160, 0, -76, 0, -56, 0, -92, 0, -12, 0, 101, 0, -142, 0, 103, 0, 76, 0, 28, 0, -88, 0, -205, 0, 139, 0, -211, 0, 82, 0, -434, 0, 11, 0, -169, 0, -65, 0, 75, 0, 160, 0, -2, 0, -56, 0, -92, 0, 126, 0, -265, 0, -250, 0, -512, 0, 72, 0, -234, 0, -134, 0, -185, 0, -41, 0, -261, 0, -130, 0, 101, 0, -76, 0, 33, 0, -79, 0, -231, 0, 31, 0, -144, 0, 51, 0, 57, 0, -96, 0, -150, 0, 38, 0, 199, 0, 62, 0, 222, 0, 84, 0, 269, 0, 126, 0, 166, 0, -76, 0, 63, 0, 131, 0, -98, 0, 83, 0, -141, 0, 111, 0, 325, 0, -25, 0, 270, 0, -92, 0, 359, 0, 91, 0, 181, 0, 83, 0, -261, 0, 274, 0, 24, 0, -64, 0, 268, 0, -30, 0, 398, 0, 184, 0, 416, 0, 120, 0, 157, 0, 200, 0, 317, 0, 82, 0, 99, 0, 116, 0, 152, 0, 33, 0, 30, 0, 184, 0, 137, 0, 3, 0, 431, 0, -201, 0, 135, 0, -69, 0, 176, 0, 0, 0, -51, 0, 46, 0, -196, 0, -213, 0, -373, 0, 130, 0, -67, 0, 103, 0, 164, 0, 148, 0, -17, 0, -177, 0, 107, 0, 118, 0, -531, 0, 95, 0, -216, 0, -133, 0, -433, 0, -112, 0, -213, 0, 102, 0, 213, 0, -128, 0, 51, 0, 38, 0, -162, 0, 46, 0, -369, 0, 287, 0, -232, 0, -45, 0, -327, 0, 211, 0, -268, 0, -133, 0, -189, 0, 64, 0, 47, 0, 151, 0, -107, 0, 138, 0, 80, 0, -93, 0, -371, 0, 3, 0, -159, 0, 50, 0, -188, 0, -11, 0, 254, 0, -200, 0, 160, 0, -220, 0, 264, 0, -178, 0, 37, 0, 91, 0, -162, 0, -540, 0, -183, 0, -5, 0, -216, 0, -13, 0, 303, 0, 8, 0, 109, 0, 147, 0, 549, 0, -30, 0, 179, 0, -237, 0, -246, 0, -108, 0, 13, 0, -144, 0, 218, 0, -110, 0, 391, 0, -192, 0, 614, 0, -110, 0, 207, 0, -225, 0, 241, 0, -68, 0, 286, 0, -185, 0, -73, 0, 35, 0, 3, 0, -120, 0, 211, 0, -101, 0, 299, 0, -34, 0, 177, 0, 85, 0, 198, 0, 100, 0, -282, 0, -82, 0, -206, 0, 52, 0, -428, 0, -152, 0, -215, 0, -196, 0, -87, 0, -230, 0, 32, 0, 91, 0, 101, 0, -154, 0, -476, 0, -97, 0, -252, 0, 91, 0, -447, 0, 171, 0, -197, 0, -184, 0, 362, 0, 270, 0, -13, 0, 4, 0, -414, 0, 78, 0, -460, 0, -250, 0, -528, 0, 203, 0, -169, 0, -181, 0, -321, 0, 208, 0, -335, 0, -220, 0, -129, 0, 147, 0, -53, 0, -109, 0, -133, 0, -81, 0, -707, 0, 110, 0, -165, 0, -8, 0, -258, 0, 168, 0, 35, 0, 160, 0, 390, 0, 107, 0, 275, 0, 350, 0, 138, 0, -7, 0, -166, 0, 195, 0, -13, 0, -1, 0, 47, 0, 36, 0, 591, 0, -165, 0, 357, 0, -196, 0, 543, 0, 31, 0, 334, 0, 104, 0, -137, 0, 246, 0, -40, 0, 131, 0, 290, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 297598
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '100.2.g.a', 'target_level': 100, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 297599
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '100.2.g.a', 'target_level': 100, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297600
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '400.2.u.f', 'target_level': 400, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 297601
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '400.2.u.f', 'target_level': 400, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 297602
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '500.2.g.a', 'target_level': 500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 297603
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 7, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '500.2.g.a', 'target_level': 500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297604
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '500.2.i.b', 'target_level': 500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 297605
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 9, 'target_dim': 24, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '500.2.i.b', 'target_level': 500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 297606
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.n.c', 'target_level': 900, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 297607
{'conductor': 300, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '900.2.n.c', 'target_level': 900, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '300.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 297608
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.2.a.c', 'target_level': 2500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 297609
{'conductor': 100, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2500.2.a.d', 'target_level': 2500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 297610
{'conductor': 100, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.2.c.c', 'target_level': 2500, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 297611
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '10000.2.a.bc', 'target_level': 10000, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 297612
{'conductor': 25, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '400.2.u.f', 'source_level': 400, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '10000.2.a.bd', 'target_level': 10000, 'twist_class_label': '100.2.g.a', 'twist_class_level': 100, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 833925
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 22519372559942032, 'p': 2}
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id: 833926
{'charpoly_factorization': [[[16, -32, 608, 1414, 1403, 281, 637, 124, 23, -4, 8, 2, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 3}
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id: 833927
{'charpoly_factorization': [[[15625, 12500, 13125, 9250, 5650, 3150, 1440, 630, 226, 74, 21, 4, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 5}
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id: 833928
{'charpoly_factorization': [[[-576, -96, 244, 18, -29, -1, 1], 2]], 'hecke_orbit_code': 22519372559942032, 'p': 7}
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id: 833929
{'charpoly_factorization': [[[160000, -400000, 456000, -192000, 104400, 7600, 8400, -500, 1385, -230, 40, -5, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 11}
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id: 833930
{'charpoly_factorization': [[[32761, 81993, 646348, -185586, 72303, -30794, 12107, 539, 103, -89, 23, 2, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 13}
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id: 833931
{'charpoly_factorization': [[[1296, 4104, 1872, -17712, 28513, -19087, 10578, -2877, 813, -187, 42, -1, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 17}
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id: 833932
{'charpoly_factorization': [[[10471696, -252408, 2051256, -610360, 192865, -22528, 17484, -1768, 790, -160, 51, -8, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 19}
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id: 833933
{'charpoly_factorization': [[[4096, 24064, 61312, 62368, 43073, 17153, 4783, -112, 193, -52, 82, -6, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 23}
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id: 833934
{'charpoly_factorization': [[[1042441, 8559043, 28549076, 21747400, 10864425, 3656818, 898439, 163173, 23225, 2575, 241, 18, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 29}
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id: 833935
{'charpoly_factorization': [[[102495376, 61128712, 25404756, 6401690, 1786015, 268957, 81249, 7482, 2465, 490, 106, 12, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 31}
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id: 833936
{'charpoly_factorization': [[[2128681, 783483, 3968503, -969601, 1702343, -66654, -13503, -4861, 3868, -224, 78, -13, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 37}
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id: 833937
{'charpoly_factorization': [[[41422096, 69109768, 60270576, 34225680, 14183585, 4395373, 1047234, 191323, 27345, 3065, 306, 23, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 41}
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id: 833938
{'charpoly_factorization': [[[6400, -4800, -2720, 140, 185, 25, 1], 2]], 'hecke_orbit_code': 22519372559942032, 'p': 43}
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id: 833939
{'charpoly_factorization': [[[256, -58624, 5123232, 1713652, 371573, 7327, 32428, -1753, 2153, -43, 72, 1, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 47}
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id: 833940
{'charpoly_factorization': [[[1745041, -4756921, 7262957, -7188377, 5019863, -2408462, 833033, -199217, 31798, -2912, 272, -21, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 53}
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id: 833941
{'charpoly_factorization': [[[130051216, -69518784, 45751024, -22963850, 9441775, -2262199, 382576, -9311, -1925, -175, 184, 9, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 59}
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id: 833942
{'charpoly_factorization': [[[1661296081, -201920086, 116576914, 15469105, 5289020, -978266, 902591, -13034, 21260, 2965, 394, 26, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 61}
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id: 833943
{'charpoly_factorization': [[[58285547776, -14947042688, 1809216448, -98554304, 85717168, -36747856, 9460552, -1541264, 181433, -15216, 938, -37, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 67}
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id: 833944
{'charpoly_factorization': [[[5547866256, 3627072864, 2028760704, 606724590, 134232295, 19746269, 2037676, 128571, 7505, 1065, 214, 21, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 71}
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id: 833945
{'charpoly_factorization': [[[4336354201, -1633895012, 837078518, -134189611, 27441748, -1110834, 320437, -119596, 23028, -2099, 208, -18, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 73}
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id: 833946
{'charpoly_factorization': [[[56261942416, -17416353496, 2106987284, 62618090, 87184225, -13143336, 3783696, -465694, 63530, -5850, 489, -24, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 79}
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id: 833947
{'charpoly_factorization': [[[36048016, -120944576, 192804192, -169821562, 104997143, -42008477, 10950283, -1799712, 221843, -18762, 1162, -46, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 83}
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id: 833948
{'charpoly_factorization': [[[63744256, 197268672, 272354256, 180475020, 75037105, 20425932, 3872924, 424382, 39270, 3480, 301, 2, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 89}
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id: 833949
{'charpoly_factorization': [[[121807282081, 24986252328, 4873758603, 792944519, 189957143, 4515891, 1886397, 88914, 15983, 626, 168, 7, 1], 1]], 'hecke_orbit_code': 22519372559942032, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 21, 'hecke_orbit': 6, 'label': '400.2.u.f', 'level': 400, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 173992000
{'hecke_orbit_code': 22519372559942032, 'n': 1, 'trace_an': 12}
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id: 173992001
{'hecke_orbit_code': 22519372559942032, 'n': 2, 'trace_an': 0}
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id: 173992002
{'hecke_orbit_code': 22519372559942032, 'n': 3, 'trace_an': -2}
-
id: 173992003
{'hecke_orbit_code': 22519372559942032, 'n': 4, 'trace_an': 0}
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id: 173992004
{'hecke_orbit_code': 22519372559942032, 'n': 5, 'trace_an': -4}
-
id: 173992005
{'hecke_orbit_code': 22519372559942032, 'n': 6, 'trace_an': 0}
-
id: 173992006
{'hecke_orbit_code': 22519372559942032, 'n': 7, 'trace_an': 2}
-
id: 173992007
{'hecke_orbit_code': 22519372559942032, 'n': 8, 'trace_an': 0}
-
id: 173992008
{'hecke_orbit_code': 22519372559942032, 'n': 9, 'trace_an': -3}
-
id: 173992009
{'hecke_orbit_code': 22519372559942032, 'n': 10, 'trace_an': 0}
-
id: 173992010
{'hecke_orbit_code': 22519372559942032, 'n': 11, 'trace_an': 5}
-
id: 173992011
{'hecke_orbit_code': 22519372559942032, 'n': 12, 'trace_an': 0}
-
id: 173992012
{'hecke_orbit_code': 22519372559942032, 'n': 13, 'trace_an': -2}
-
id: 173992013
{'hecke_orbit_code': 22519372559942032, 'n': 14, 'trace_an': 0}
-
id: 173992014
{'hecke_orbit_code': 22519372559942032, 'n': 15, 'trace_an': -18}
-
id: 173992015
{'hecke_orbit_code': 22519372559942032, 'n': 16, 'trace_an': 0}
-
id: 173992016
{'hecke_orbit_code': 22519372559942032, 'n': 17, 'trace_an': 1}
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id: 173992017
{'hecke_orbit_code': 22519372559942032, 'n': 18, 'trace_an': 0}
-
id: 173992018
{'hecke_orbit_code': 22519372559942032, 'n': 19, 'trace_an': 8}
-
id: 173992019
{'hecke_orbit_code': 22519372559942032, 'n': 20, 'trace_an': 0}
-
id: 173992020
{'hecke_orbit_code': 22519372559942032, 'n': 21, 'trace_an': 2}
-
id: 173992021
{'hecke_orbit_code': 22519372559942032, 'n': 22, 'trace_an': 0}
-
id: 173992022
{'hecke_orbit_code': 22519372559942032, 'n': 23, 'trace_an': 6}
-
id: 173992023
{'hecke_orbit_code': 22519372559942032, 'n': 24, 'trace_an': 0}
-
id: 173992024
{'hecke_orbit_code': 22519372559942032, 'n': 25, 'trace_an': -26}
-
id: 173992025
{'hecke_orbit_code': 22519372559942032, 'n': 26, 'trace_an': 0}
-
id: 173992026
{'hecke_orbit_code': 22519372559942032, 'n': 27, 'trace_an': 34}
-
id: 173992027
{'hecke_orbit_code': 22519372559942032, 'n': 28, 'trace_an': 0}
-
id: 173992028
{'hecke_orbit_code': 22519372559942032, 'n': 29, 'trace_an': -18}
-
id: 173992029
{'hecke_orbit_code': 22519372559942032, 'n': 30, 'trace_an': 0}
-
id: 173992030
{'hecke_orbit_code': 22519372559942032, 'n': 31, 'trace_an': -12}
-
id: 173992031
{'hecke_orbit_code': 22519372559942032, 'n': 32, 'trace_an': 0}
-
id: 173992032
{'hecke_orbit_code': 22519372559942032, 'n': 33, 'trace_an': -35}
-
id: 173992033
{'hecke_orbit_code': 22519372559942032, 'n': 34, 'trace_an': 0}
-
id: 173992034
{'hecke_orbit_code': 22519372559942032, 'n': 35, 'trace_an': 3}
-
id: 173992035
{'hecke_orbit_code': 22519372559942032, 'n': 36, 'trace_an': 0}
-
id: 173992036
{'hecke_orbit_code': 22519372559942032, 'n': 37, 'trace_an': 13}
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id: 173992037
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