Embedded newform data - 225.4.f.c.143.2

Formats: - HTML - YAML - JSON - 2025-12-18T06:13:47.433188

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [225, 4, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 107, 'dim': 12, 'field_disc': 299203866038108160000, 'field_disc_factorization': [[2, 24], [3, 4], [5, 4], [137, 4]], 'field_poly': [506944, 0, 126224, 0, 3889, 0, -512, 0, -14, 0, -16, 0, 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, [4096, 0, 0, 0, 149073, 0, 0, 0, 978, 0, 0, 0, 1]], [7, [700928, 369408, 97344, -2560, 72, 12, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542919233761, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 165888, 'hecke_ring_index_factorization': [[2, 11], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 3, -1, 4, 0], [1, 1, 15, 5, 1, 4, 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': False, 'label': '225.4.f.c', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.4.f.a', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta _{6}q^{2}+(-6\\beta _{1}+\\beta _{5})q^{4}+(-2-2\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '3.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.4.f', 'trace_display': [0, 0, 0, -24], 'trace_hash': 2054898800940526658, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.720', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.649', 'prec': 17}, {'__RealLiteral__': 0, 'data': '920.623', 'prec': 24}, {'__RealLiteral__': 0, 'data': '804.031', 'prec': 24}, {'__RealLiteral__': 0, 'data': '130954.265', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.628', 'prec': 17}, 'traces': [12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 108, 0, 0, -648, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 0, 0, 576, 0, 0, -1248, 0, 0, 0, 0, 0, -828, 0, 0, 0, 0, 0, 96, 0, 0, 672, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 3864, 0, 0, 96, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, -3972, 0, 0, -480, 0, 0, 0, 0, 0, 7848, 0, 0, 0, 0, 0, -7968, 0, 0, 4752, 0, 0, 0, 0, 0, -2772, 0, 0, 0, 0, 0, -840, 0, 0, 6912, 0, 0, 0, 0, 0, 8256, 0, 0, 0, 0, 0, 8448, 0, 0, -1404, 0, 0, 0, 0, 0, 5400, 0, 0, 0, 0, 0, -11040, 0, 0, 5664, 0, 0, 0, 0, 0, -4128, 0, 0, 0, 0, 0, 12552, 0, 0, -19824, 0, 0, 0, 0, 0, -4020, 0, 0, 0, 0, 0, -4464, 0, 0, 20352, 0, 0, 0, 0, 0, -15456, 0, 0, 0, 0, 0, -4152, 0, 0, -7872, 0, 0, 0, 0, 0, -14064, 0, 0, 0, 0, 0, 11988, 0, 0, -32952, 0, 0, 0, 0, 0, 13752, 0, 0, 0, 0, 0, 28728, 0, 0, 10752, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 0, 0, -18360, 0, 0, -28752, 0, 0, 0, 0, 0, -36312, 0, 0, 0, 0, 0, 16896, 0, 0, -18600, 0, 0, 0, 0, 0, 27600, 0, 0, 0, 0, 0, 18624, 0, 0, 31176, 0, 0, 0, 0, 0, 7200, 0, 0, 0, 0, 0, -79872, 0, 0, 39888, 0, 0, 0, 0, 0, -31332, 0, 0, 0, 0, 0, -9744, 0, 0, -12672, 0, 0, 0, 0, 0, 60552, 0, 0, 0, 0, 0, 5736, 0, 0, -14976, 0, 0, 0, 0, 0, 38064, 0, 0, 0, 0, 0, 8412, 0, 0, 40704, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 0, 0, 41064, 0, 0, 49776, 0, 0, 0, 0, 0, 3060, 0, 0, 0, 0, 0, 624, 0, 0, 55728, 0, 0, 0, 0, 0, 27360, 0, 0, 0, 0, 0, -71136, 0, 0, -24252, 0, 0, 0, 0, 0, 37176, 0, 0, 0, 0, 0, 59964, 0, 0, -66528, 0, 0, 0, 0, 0, -43392, 0, 0, 0, 0, 0, -38472, 0, 0, 40128, 0, 0, 0, 0, 0, 14028, 0, 0, 0, 0, 0, -40992, 0, 0, 13056, 0, 0, 0, 0, 0, -48480, 0, 0, 0, 0, 0, -4800, 0, 0, -52680, 0, 0, 0, 0, 0, -5952, 0, 0, 0, 0, 0, 53004, 0, 0, -128160, 0, 0, 0, 0, 0, -69408, 0, 0, 0, 0, 0, -12288, 0, 0, 45168, 0, 0, 0, 0, 0, -64260, 0, 0, 0, 0, 0, 67560, 0, 0, -60768, 0, 0, 0, 0, 0, -44544, 0, 0, 0, 0, 0, 44064, 0, 0, 6024, 0, 0, 0, 0, 0, 82200, 0, 0, 0, 0, 0, 36936, 0, 0, -29568, 0, 0, 0, 0, 0, 50688, 0, 0, 0, 0, 0, 51360, 0, 0, -42288, 0, 0, 0, 0, 0, -83232, 0, 0, 0, 0, 0, -54144, 0, 0, -35808, 0, 0, 0, 0, 0, -6720, 0, 0, 0, 0, 0, -57192, 0, 0, 62208, 0, 0, 0, 0, 0, -46800, 0, 0, 0, 0, 0, -30912, 0, 0, 245856, 0, 0, 0, 0, 0, 44856, 0, 0, 0, 0, 0, 40416, 0, 0, 37104, 0, 0, 0, 0, 0, -5844, 0, 0, 0, 0, 0, 18384, 0, 0, -161232, 0, 0, 0, 0, 0, 38712, 0, 0, 0, 0, 0, -72672, 0, 0, -129504, 0, 0, 0, 0, 0, 132264, 0, 0, 0, 0, 0, -87132, 0, 0, 65088, 0, 0, 0, 0, 0, -43104, 0, 0, 0, 0, 0, 74040, 0, 0, 106560, 0, 0, 0, 0, 0, 3372, 0, 0, 0, 0, 0, -42336, 0, 0, 186240, 0, 0, 0, 0, 0, 112224, 0, 0, 0, 0, 0, 32448, 0, 0, -135840, 0, 0, 0, 0, 0, 82176, 0, 0, 0, 0, 0, 70068, 0, 0, -3432, 0, 0, 0, 0, 0, 126144, 0, 0, 0, 0, 0, -212064, 0, 0, 44976, 0, 0, 0, 0, 0, -78168, 0, 0, 0, 0, 0, -98160, 0, 0, 269472, 0, 0, 0, 0, 0, -159624, 0, 0, 0, 0, 0, 112800, 0, 0, 62880, 0, 0, 0, 0, 0, 41256, 0, 0, 0, 0, 0, -61812, 0, 0, -143520, 0, 0, 0, 0, 0, 29376, 0, 0, 0, 0, 0, 61056, 0, 0, -149088, 0, 0, 0, 0, 0, 17028, 0, 0, 0, 0, 0, 28800, 0, 0, -243936, 0, 0, 0, 0, 0, 140712, 0, 0, 0, 0, 0, 5784, 0, 0, 15552, 0, 0, 0, 0, 0, -146832, 0, 0, 0, 0, 0, -122976, 0, 0, 128640, 0, 0, 0, 0, 0, -165096, 0, 0, 0, 0, 0, 192696, 0, 0, -81600, 0, 0, 0, 0, 0, -134400, 0, 0, 0, 0, 0, -80760, 0, 0, 28992, 0, 0, 0, 0, 0, -98136, 0, 0, 0, 0, 0, 307008, 0, 0, -57252, 0, 0, 0, 0, 0, -31752, 0, 0, 0, 0, 0, 227484, 0, 0, -24576, 0, 0, 0, 0, 0, 247392, 0, 0, 0, 0, 0, -64704, 0, 0, 44736, 0, 0, 0, 0, 0, -203244, 0, 0, 0, 0, 0, -220464, 0, 0, -259200, 0, 0, 0, 0, 0, -51840, 0, 0, 0, 0, 0, 117288, 0, 0, -43152, 0, 0, 0, 0, 0, -101760, 0, 0, 0, 0, 0, 32544, 0, 0, 317712, 0, 0, 0, 0, 0, 4296, 0, 0, 0, 0, 0, -171960, 0, 0, -11280, 0, 0, 0, 0, 0, 171684, 0, 0, 0, 0, 0, 189888, 0, 0, -180864, 0, 0, 0, 0, 0, 58752, 0, 0, 0, 0, 0, -192864, 0, 0, -125940, 0, 0, 0, 0, 0, 26904, 0, 0, 0, 0, 0, -69888, 0, 0, -542304, 0, 0, 0, 0, 0, -384960, 0, 0, 0, 0, 0, 225120, 0, 0, 411888, 0, 0, 0, 0, 0, 46980, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [-0.9268057780867582, -0.9268057780867582], [0.0, 0.0], [0.0, 0.7179379005900027], [0.0, 0.0], [0.0, 0.0], [0.5866641734144383, -0.5866641734144383], [-0.26141678351246705, 0.26141678351246705], [0.0, 0.0], [0.0, 0.0], [0.0, -1.0385825722825106], [0.0, 0.0], [1.0263769465973818, 1.0263769465973818], [-1.0874474914339867, 0.0], [0.0, 0.0], [1.202503071486422, 0.0], [-0.8609419240731955, -0.8609419240731955], [0.0, 0.0], [0.0, -1.3243048907938135], [0.0, 0.0], [0.0, 0.0], [-0.9625643290116391, 0.9625643290116391], [0.36051230306395543, -0.36051230306395543], [0.0, 0.0], [0.0, 0.0], [0.0, -1.902504169202995], [0.0, 0.0], [0.42118844501253117, 0.42118844501253117], [-0.578570832180689, 0.0], [0.0, 0.0], [-1.3538631015555163, 0.0], [-0.853070011308223, -0.853070011308223], [0.0, 0.0], [0.0, 1.5958518996563373], [0.0, 0.0], [0.0, 0.0], [0.08443991163300238, -0.08443991163300238], [-1.2273734247362598, 1.2273734247362598], [0.0, 0.0], [0.0, 0.0], [0.0, 0.9933540357979731], [0.0, 0.0], [-0.6249475261942457, -0.6249475261942457], [0.7456377915338706, 0.0], [0.0, 0.0], [-0.6682497711020768, 0.0], [-0.4524556446103376, -0.4524556446103376], [0.0, 0.0], [0.0, 0.31165029526390775], [0.0, 0.0], [0.0, 0.0], [-0.7368749102541017, 0.7368749102541017], [-0.47502214826585, 0.47502214826585], [0.0, 0.0], [0.0, 0.0], [0.0, 0.3067277224320053], [0.0, 0.0], [0.5362227902975267, 0.5362227902975267], [-0.6168826307795288, 0.0], [0.0, 0.0], [-0.8191569162649424, 0.0], [1.254768145260112, 1.254768145260112], [0.0, 0.0], [0.0, 0.3787573596995726], [0.0, 0.0], [0.0, 0.0], [-0.27432416824227146, 0.27432416824227146], [0.6181028374990275, -0.6181028374990275], [0.0, 0.0], [0.0, 0.0], [0.0, -0.7856863870122189], [0.0, 0.0], [-0.770812358010893, -0.770812358010893], [-0.15651879600520374, 0.0], [0.0, 0.0], [0.9507686730375834, 0.0], [-0.6092991862907602, -0.6092991862907602], [0.0, 0.0], [0.0, -1.8833694281939588], [0.0, 0.0], [0.0, 0.0], [0.9206462600633619, -0.9206462600633619], [0.6032957216933454, -0.6032957216933454], [0.0, 0.0], [0.0, 0.0], [0.0, 1.1584099565557051], [0.0, 0.0], [0.2715029154581982, 0.2715029154581982], [1.625547116770186, 0.0], [0.0, 0.0], [1.204277165974376, 0.0], [0.25882544599860297, 0.25882544599860297], [0.0, 0.0], [0.0, 0.8386770115056594], [0.0, 0.0], [0.0, 0.0], [0.8220203802511377, -0.8220203802511377], [0.28883929439303396, -0.28883929439303396], [0.0, 0.0], [0.0, 0.0], [0.0, -0.10990195756443152], [0.0, 0.0], [-0.013279975990259487, -0.013279975990259487], [-0.5366243201016694, 0.0], [0.0, 0.0], [0.8805065434639491, 0.0], [0.7012592548963303, 0.7012592548963303], [0.0, 0.0], [0.0, -0.3607919564230871], [0.0, 0.0], [0.0, 0.0], [0.705465470461905, -0.705465470461905], [0.4340035956962303, -0.4340035956962303], [0.0, 0.0], [0.0, 0.0], [0.0, -0.41537792859841466], [0.0, 0.0], [0.5717303866078276, 0.5717303866078276], [-1.0101675644884747, 0.0], [0.0, 0.0], [-0.07865375944895647, 0.0], [0.7591993631540793, 0.7591993631540793], [0.0, 0.0], [0.0, -0.9719896328170371], [0.0, 0.0], [0.0, 0.0], [-0.5495707774693074, 0.5495707774693074], [-0.5020355018457745, 0.5020355018457745], [0.0, 0.0], [0.0, 0.0], [0.0, 0.2990360279941537], [0.0, 0.0], [-0.7769222341062506, -0.7769222341062506], [0.5084904483915623, 0.0], [0.0, 0.0], [0.45012933716449877, 0.0], [-0.5925123581189708, -0.5925123581189708], [0.0, 0.0], [0.0, -0.0687917977617392], [0.0, 0.0], [0.0, 0.0], [-0.7281786832470334, 0.7281786832470334], [1.0659772093285778, -1.0659772093285778], [0.0, 0.0], [0.0, 0.0], [0.0, 1.4287866944503491], [0.0, 0.0], [0.06062261288380308, 0.06062261288380308], [0.8208521974660806, 0.0], [0.0, 0.0], [-1.5842161350167419, 0.0], [0.3461955249411477, 0.3461955249411477], [0.0, 0.0], [0.0, 1.1294040128756735], [0.0, 0.0], [0.0, 0.0], [-0.0794966885332085, 0.0794966885332085], [-1.745517668322115, 1.745517668322115], [0.0, 0.0], [0.0, 0.0], [0.0, -0.4229993045655018], [0.0, 0.0], [0.11498633093332974, 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[0.07068288243003716, 0.07068288243003716], [0.0, 0.0], [0.0, -1.4520097868272062], [0.0, 0.0], [0.0, 0.0], [0.7224924100572548, -0.7224924100572548], [0.298313128594773, -0.298313128594773], [0.0, 0.0], [0.0, 0.0], [0.0, 0.7545476814876381], [0.0, 0.0], [0.35811635120340213, 0.35811635120340213], [-0.7418032582590077, 0.0], [0.0, 0.0], [1.2031043924372957, 0.0], [-1.0273138815013427, -1.0273138815013427], [0.0, 0.0], [0.0, -1.5822880688294965], [0.0, 0.0], [0.0, 0.0], [0.26407475551719967, -0.26407475551719967], [1.0051781541866445, -1.0051781541866445], [0.0, 0.0], [0.0, 0.0], [0.0, 0.19687171469066556], [0.0, 0.0], [-0.9473525205549027, -0.9473525205549027], [-0.6952115456274114, 0.0], [0.0, 0.0], [0.8329452977535223, 0.0], [-0.1606472839289195, -0.1606472839289195], [0.0, 0.0], [0.0, 0.49591099757840734], [0.0, 0.0], [0.0, 0.0], [0.31520566792670324, -0.31520566792670324], [0.020561412806309513, -0.020561412806309513], [0.0, 0.0], [0.0, 0.0], [0.0, -0.27705097212416335], [0.0, 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-0.17683044727183625, -0.4295187543025533, -0.29990367222977043, -0.3171621026468645, -0.4060692738528172, -0.43574575753944966, -0.21674403130686792, -0.3046210152272528, -0.3048565788606314, -0.0989783124295486, -0.2762807094544943, -0.49124987266353143, -0.12649454434786583, -0.042425508009175564, -0.4711310409468782, -0.3253563346179955, -0.43852150037938625, 0.023886099462200636, -0.19380429222952986, -0.4945246426798996, -0.1826899875929933, -0.3955082010665978, -0.3839512390612282, -0.11204519055237014, -0.16060823508612043, -0.39690593883413466, -0.026338804670859226, -0.3014927374552918, 0.03311989859694436, 0.008823489902540858, -0.17310470501444564, 0.014769016694328601, -0.07133687630135571, -0.13593096624930553, -0.029158833208596458, -0.4947097761265741, -0.3639112158868352, -0.2281094452289107, -0.193876408506254, -0.46554506590140005, -0.20043738450055493, -0.3125357289442893, -0.25807648862938054, -0.22179134814900897, 0.30041632690059544, 0.0023657737486263474, 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-0.1540900933863797, -0.1194479998082428, -0.3623369679024603, 0.056461515419267895, 0.08976641972359987, -0.2717778035616676, -0.28965995535398154, 0.06156922215759755, -0.49559123709215774, -0.24917372258484166, -0.339226431338378, -0.4778818570534746, -0.2200108412470555, -0.32037919280969046, -0.205571650261449, -0.4244736602541789], 'char_orbit_index': 6, 'conrey_index': 143, 'dual_conrey_index': 107, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 8, 'embedding_root_imag': 2.2742626863535653, 'embedding_root_real': -0.34713991575852005, 'hecke_orbit': 3, 'hecke_orbit_code': 9007542919233761, 'label': '225.4.f.c.143.2', 'level': 225, 'weight': 4}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 3600, 'analytic_conductor': 13.275429751291638, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [225, 4, [101, 127], [2, 1]], 'conrey_index': 107, 'cusp_dim': 156, 'dim': 36, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 343664492769, 'hecke_orbit_dims': [4, 4, 12, 16], 'label': '225.4.f', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 204, 'mf_new_dim': 36, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 18, 'sturm_bound': 120, 'trace_bound': 7, 'trace_display': [0, 0, 0, -24], 'traces': [36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 108, 0, 0, 336, 0, 0, 0, 0, 0, -1056, 0, 0, 0, 0, 0, 576, 0, 0, 1776, 0, 0, 0, 0, 0, -828, 0, 0, 0, 0, 0, 96, 0, 0, -1344, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 3864, 0, 0, 4128, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, -3972, 0, 0, -10560, 0, 0, 0, 0, 0, 7848, 0, 0, 0, 0, 0, -7968, 0, 0, 2736, 0, 0, 0, 0, 0, -2772, 0, 0, 0, 0, 0, -840, 0, 0, -144, 0, 0, 0, 0, 0, 8256, 0, 0, 0, 0, 0, 8448, 0, 0, -4452, 0, 0, 0, 0, 0, 5400, 0, 0, 0, 0, 0, -11040, 0, 0, -3408, 0, 0, 0, 0, 0, -4128, 0, 0, 0, 0, 0, 12552, 0, 0, -10752, 0, 0, 0, 0, 0, -4020, 0, 0, 0, 0, 0, -4464, 0, 0, 13296, 0, 0, 0, 0, 0, -15456, 0, 0, 0, 0, 0, -4152, 0, 0, 21024, 0, 0, 0, 0, 0, -14064, 0, 0, 0, 0, 0, 11988, 0, 0, 31584, 0, 0, 0, 0, 0, 13752, 0, 0, 0, 0, 0, 28728, 0, 0, -23184, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 0, 0, -18360, 0, 0, -41856, 0, 0, 0, 0, 0, -36312, 0, 0, 0, 0, 0, 16896, 0, 0, 60360, 0, 0, 0, 0, 0, 27600, 0, 0, 0, 0, 0, 18624, 0, 0, 52368, 0, 0, 0, 0, 0, 7200, 0, 0, 0, 0, 0, -79872, 0, 0, -48816, 0, 0, 0, 0, 0, -31332, 0, 0, 0, 0, 0, -9744, 0, 0, -30816, 0, 0, 0, 0, 0, 60552, 0, 0, 0, 0, 0, 5736, 0, 0, -97968, 0, 0, 0, 0, 0, 38064, 0, 0, 0, 0, 0, 8412, 0, 0, 6432, 0, 0, 0, 0, 0, -8064, 0, 0, 0, 0, 0, 41064, 0, 0, 79008, 0, 0, 0, 0, 0, 3060, 0, 0, 0, 0, 0, 624, 0, 0, -22896, 0, 0, 0, 0, 0, 27360, 0, 0, 0, 0, 0, -71136, 0, 0, -59556, 0, 0, 0, 0, 0, 37176, 0, 0, 0, 0, 0, 59964, 0, 0, -118944, 0, 0, 0, 0, 0, -43392, 0, 0, 0, 0, 0, -38472, 0, 0, 52224, 0, 0, 0, 0, 0, 14028, 0, 0, 0, 0, 0, -40992, 0, 0, 207888, 0, 0, 0, 0, 0, -48480, 0, 0, 0, 0, 0, -4800, 0, 0, 123720, 0, 0, 0, 0, 0, -5952, 0, 0, 0, 0, 0, 53004, 0, 0, -192960, 0, 0, 0, 0, 0, -69408, 0, 0, 0, 0, 0, -12288, 0, 0, -109056, 0, 0, 0, 0, 0, -64260, 0, 0, 0, 0, 0, 67560, 0, 0, 79056, 0, 0, 0, 0, 0, -44544, 0, 0, 0, 0, 0, 44064, 0, 0, 228792, 0, 0, 0, 0, 0, 82200, 0, 0, 0, 0, 0, 36936, 0, 0, 180096, 0, 0, 0, 0, 0, 50688, 0, 0, 0, 0, 0, 51360, 0, 0, -269424, 0, 0, 0, 0, 0, -83232, 0, 0, 0, 0, 0, -54144, 0, 0, -179664, 0, 0, 0, 0, 0, -6720, 0, 0, 0, 0, 0, -57192, 0, 0, 33984, 0, 0, 0, 0, 0, -46800, 0, 0, 0, 0, 0, -30912, 0, 0, 370848, 0, 0, 0, 0, 0, 44856, 0, 0, 0, 0, 0, 40416, 0, 0, 93552, 0, 0, 0, 0, 0, -5844, 0, 0, 0, 0, 0, 18384, 0, 0, -456576, 0, 0, 0, 0, 0, 38712, 0, 0, 0, 0, 0, -72672, 0, 0, -150672, 0, 0, 0, 0, 0, 132264, 0, 0, 0, 0, 0, -87132, 0, 0, 31824, 0, 0, 0, 0, 0, -43104, 0, 0, 0, 0, 0, 74040, 0, 0, 24240, 0, 0, 0, 0, 0, 3372, 0, 0, 0, 0, 0, -42336, 0, 0, 80400, 0, 0, 0, 0, 0, 112224, 0, 0, 0, 0, 0, 32448, 0, 0, -211440, 0, 0, 0, 0, 0, 82176, 0, 0, 0, 0, 0, 70068, 0, 0, -35376, 0, 0, 0, 0, 0, 126144, 0, 0, 0, 0, 0, -212064, 0, 0, 10368, 0, 0, 0, 0, 0, -78168, 0, 0, 0, 0, 0, -98160, 0, 0, 640416, 0, 0, 0, 0, 0, -159624, 0, 0, 0, 0, 0, 112800, 0, 0, 51120, 0, 0, 0, 0, 0, 41256, 0, 0, 0, 0, 0, -61812, 0, 0, -749040, 0, 0, 0, 0, 0, 29376, 0, 0, 0, 0, 0, 61056, 0, 0, -372864, 0, 0, 0, 0, 0, 17028, 0, 0, 0, 0, 0, 28800, 0, 0, 366912, 0, 0, 0, 0, 0, 140712, 0, 0, 0, 0, 0, 5784, 0, 0, 517536, 0, 0, 0, 0, 0, -146832, 0, 0, 0, 0, 0, -122976, 0, 0, -20880, 0, 0, 0, 0, 0, -165096, 0, 0, 0, 0, 0, 192696, 0, 0, -147120, 0, 0, 0, 0, 0, -134400, 0, 0, 0, 0, 0, -80760, 0, 0, -618144, 0, 0, 0, 0, 0, -98136, 0, 0, 0, 0, 0, 307008, 0, 0, 405444, 0, 0, 0, 0, 0, -31752, 0, 0, 0, 0, 0, 227484, 0, 0, 602112, 0, 0, 0, 0, 0, 247392, 0, 0, 0, 0, 0, -64704, 0, 0, 325968, 0, 0, 0, 0, 0, -203244, 0, 0, 0, 0, 0, -220464, 0, 0, -269280, 0, 0, 0, 0, 0, -51840, 0, 0, 0, 0, 0, 117288, 0, 0, -363696, 0, 0, 0, 0, 0, -101760, 0, 0, 0, 0, 0, 32544, 0, 0, -87504, 0, 0, 0, 0, 0, 4296, 0, 0, 0, 0, 0, -171960, 0, 0, 541440, 0, 0, 0, 0, 0, 171684, 0, 0, 0, 0, 0, 189888, 0, 0, -85392, 0, 0, 0, 0, 0, 58752, 0, 0, 0, 0, 0, -192864, 0, 0, -259980, 0, 0, 0, 0, 0, 26904, 0, 0, 0, 0, 0, -69888, 0, 0, -432432, 0, 0, 0, 0, 0, -384960, 0, 0, 0, 0, 0, 225120, 0, 0, 439104, 0, 0, 0, 0, 0, 46980, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 40929635
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542919233761, 'target_is_minimal': False, 'target_label': '225.4.f.c.143.2', 'target_level': 225, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 40929636
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007542919233761, 'target_is_minimal': False, 'target_label': '225.4.f.c.143.5', 'target_level': 225, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 40929637
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007542919233761, 'target_is_minimal': False, 'target_label': '225.4.f.c.107.5', 'target_level': 225, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 40929638
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 17, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664492589, 'target_is_minimal': True, 'target_label': '45.4.f.a.17.2', 'target_level': 45, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 40929639
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 8, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 343664492589, 'target_is_minimal': True, 'target_label': '45.4.f.a.8.5', 'target_level': 45, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
  • id: 40929640
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007542919233761, 'target_is_minimal': False, 'target_label': '225.4.f.c.107.2', 'target_level': 225, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 40929641
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 17, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 343664492589, 'target_is_minimal': True, 'target_label': '45.4.f.a.17.5', 'target_level': 45, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 4}
  • id: 40929642
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 8, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664492589, 'target_is_minimal': True, 'target_label': '45.4.f.a.8.2', 'target_level': 45, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
  • id: 40929643
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 17, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310777709264, 'target_is_minimal': False, 'target_label': '720.4.w.d.17.2', 'target_level': 720, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 40929644
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512310777709264, 'target_is_minimal': False, 'target_label': '720.4.w.d.593.5', 'target_level': 720, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
  • id: 40929645
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 17, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13512310777709264, 'target_is_minimal': False, 'target_label': '720.4.w.d.17.5', 'target_level': 720, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
  • id: 40929646
    {'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 143, 'source_dim': 12, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007542919233761, 'source_is_minimal': False, 'source_label': '225.4.f.c.143.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512310777709264, 'target_is_minimal': False, 'target_label': '720.4.w.d.593.2', 'target_level': 720, 'twist_class_label': '45.4.f.a.8.2', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 539650
    {'charpoly_factorization': [[[4096, 0, 0, 0, 149073, 0, 0, 0, 978, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 2}
  • id: 539651
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007542919233761, 'p': 3}
  • id: 539652
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 9007542919233761, 'p': 5}
  • id: 539653
    {'charpoly_factorization': [[[700928, 369408, 97344, -2560, 72, 12, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 7}
  • id: 539654
    {'charpoly_factorization': [[[2390999552, 0, 5840832, 0, 4344, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 11}
  • id: 539655
    {'charpoly_factorization': [[[40033352, 17341224, 3755844, 113600, 1458, -54, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 13}
  • id: 539656
    {'charpoly_factorization': [[[815576274079077892096, 0, 0, 0, 4537848559116288, 0, 0, 0, 138301968, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 17}
  • id: 539657
    {'charpoly_factorization': [[[604661760000, 0, 226022400, 0, 26640, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 19}
  • id: 539658
    {'charpoly_factorization': [[[447271711305017847709696, 0, 0, 0, 54082669119602688, 0, 0, 0, 946426368, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 23}
  • id: 539659
    {'charpoly_factorization': [[[-3276052522632, 0, 815112972, 0, -58854, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 29}
  • id: 539660
    {'charpoly_factorization': [[[333184, 19728, 312, 1], 4]], 'hecke_orbit_code': 9007542919233761, 'p': 31}
  • id: 539661
    {'charpoly_factorization': [[[431026413512, -30656156424, 1090188324, -14597920, 85698, 414, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 37}
  • id: 539662
    {'charpoly_factorization': [[[1313254395137288, 0, 39690796812, 0, 367686, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 41}
  • id: 539663
    {'charpoly_factorization': [[[12363096915968, 421035245568, 7169347584, 9036800, 1152, -48, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 43}
  • id: 539664
    {'charpoly_factorization': [[[119078333987776736650168631296, 0, 0, 0, 103354367855716466688, 0, 0, 0, 22535002368, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 47}
  • id: 539665
    {'charpoly_factorization': [[[9553408190127671975137509376, 0, 0, 0, 48541234921077547008, 0, 0, 0, 14798523408, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 53}
  • id: 539666
    {'charpoly_factorization': [[[-1998258773488128, 0, 52376651712, 0, -421176, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 59}
  • id: 539667
    {'charpoly_factorization': [[[-70019072, -341088, -24, 1], 4]], 'hecke_orbit_code': 9007542919233761, 'p': 61}
  • id: 539668
    {'charpoly_factorization': [[[25774917628854272, 153730046214144, 458448159744, -325457920, 332928, 816, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 67}
  • id: 539669
    {'charpoly_factorization': [[[826210599600128, 0, 88146496512, 0, 602976, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 71}
  • id: 539670
    {'charpoly_factorization': [[[3552805641982472, -34127756459256, 163913239044, 888350720, 1972098, 1986, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 73}
  • id: 539671
    {'charpoly_factorization': [[[23809566408966144, 0, 446739648768, 0, 1996512, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 79}
  • id: 539672
    {'charpoly_factorization': [[[404913058349372020655736460857573376, 0, 0, 0, 3021932996774807407362048, 0, 0, 0, 4125230408448, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007542919233761, 'p': 83}
  • id: 539673
    {'charpoly_factorization': [[[-17269984128833928, 0, 928594032012, 0, -2356326, 0, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 89}
  • id: 539674
    {'charpoly_factorization': [[[1300409140717475912, 2088546858965544, 1677175223364, -182245120, 960498, 1386, 1], 2]], 'hecke_orbit_code': 9007542919233761, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '225.4.f.c', 'level': 225, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30769315
    {'hecke_orbit_code': 9007542919233761, 'n': 1, 'trace_an': 12}
  • id: 30769316
    {'hecke_orbit_code': 9007542919233761, 'n': 2, 'trace_an': 0}
  • id: 30769317
    {'hecke_orbit_code': 9007542919233761, 'n': 3, 'trace_an': 0}
  • id: 30769318
    {'hecke_orbit_code': 9007542919233761, 'n': 4, 'trace_an': 0}
  • id: 30769319
    {'hecke_orbit_code': 9007542919233761, 'n': 5, 'trace_an': 0}
  • id: 30769320
    {'hecke_orbit_code': 9007542919233761, 'n': 6, 'trace_an': 0}
  • id: 30769321
    {'hecke_orbit_code': 9007542919233761, 'n': 7, 'trace_an': -24}
  • id: 30769322
    {'hecke_orbit_code': 9007542919233761, 'n': 8, 'trace_an': 0}
  • id: 30769323
    {'hecke_orbit_code': 9007542919233761, 'n': 9, 'trace_an': 0}
  • id: 30769324
    {'hecke_orbit_code': 9007542919233761, 'n': 10, 'trace_an': 0}
  • id: 30769325
    {'hecke_orbit_code': 9007542919233761, 'n': 11, 'trace_an': 0}
  • id: 30769326
    {'hecke_orbit_code': 9007542919233761, 'n': 12, 'trace_an': 0}
  • id: 30769327
    {'hecke_orbit_code': 9007542919233761, 'n': 13, 'trace_an': 108}
  • id: 30769328
    {'hecke_orbit_code': 9007542919233761, 'n': 14, 'trace_an': 0}
  • id: 30769329
    {'hecke_orbit_code': 9007542919233761, 'n': 15, 'trace_an': 0}
  • id: 30769330
    {'hecke_orbit_code': 9007542919233761, 'n': 16, 'trace_an': -648}
  • id: 30769331
    {'hecke_orbit_code': 9007542919233761, 'n': 17, 'trace_an': 0}
  • id: 30769332
    {'hecke_orbit_code': 9007542919233761, 'n': 18, 'trace_an': 0}
  • id: 30769333
    {'hecke_orbit_code': 9007542919233761, 'n': 19, 'trace_an': 0}
  • id: 30769334
    {'hecke_orbit_code': 9007542919233761, 'n': 20, 'trace_an': 0}
  • id: 30769335
    {'hecke_orbit_code': 9007542919233761, 'n': 21, 'trace_an': 0}
  • id: 30769336
    {'hecke_orbit_code': 9007542919233761, 'n': 22, 'trace_an': -1056}
  • id: 30769337
    {'hecke_orbit_code': 9007542919233761, 'n': 23, 'trace_an': 0}
  • id: 30769338
    {'hecke_orbit_code': 9007542919233761, 'n': 24, 'trace_an': 0}
  • id: 30769339
    {'hecke_orbit_code': 9007542919233761, 'n': 25, 'trace_an': 0}
  • id: 30769340
    {'hecke_orbit_code': 9007542919233761, 'n': 26, 'trace_an': 0}
  • id: 30769341
    {'hecke_orbit_code': 9007542919233761, 'n': 27, 'trace_an': 0}
  • id: 30769342
    {'hecke_orbit_code': 9007542919233761, 'n': 28, 'trace_an': 576}
  • id: 30769343
    {'hecke_orbit_code': 9007542919233761, 'n': 29, 'trace_an': 0}
  • id: 30769344
    {'hecke_orbit_code': 9007542919233761, 'n': 30, 'trace_an': 0}
  • id: 30769345
    {'hecke_orbit_code': 9007542919233761, 'n': 31, 'trace_an': -1248}
  • id: 30769346
    {'hecke_orbit_code': 9007542919233761, 'n': 32, 'trace_an': 0}
  • id: 30769347
    {'hecke_orbit_code': 9007542919233761, 'n': 33, 'trace_an': 0}
  • id: 30769348
    {'hecke_orbit_code': 9007542919233761, 'n': 34, 'trace_an': 0}
  • id: 30769349
    {'hecke_orbit_code': 9007542919233761, 'n': 35, 'trace_an': 0}
  • id: 30769350
    {'hecke_orbit_code': 9007542919233761, 'n': 36, 'trace_an': 0}
  • id: 30769351
    {'hecke_orbit_code': 9007542919233761, 'n': 37, 'trace_an': -828}
  • id: 30769352
    {'hecke_orbit_code': 9007542919233761, 'n': 38, 'trace_an': 0}
  • id: 30769353
    {'hecke_orbit_code': 9007542919233761, 'n': 39, 'trace_an': 0}
  • id: 30769354
    {'hecke_orbit_code': 9007542919233761, 'n': 40, 'trace_an': 0}
  • id: 30769355
    {'hecke_orbit_code': 9007542919233761, 'n': 41, 'trace_an': 0}
  • id: 30769356
    {'hecke_orbit_code': 9007542919233761, 'n': 42, 'trace_an': 0}
  • id: 30769357
    {'hecke_orbit_code': 9007542919233761, 'n': 43, 'trace_an': 96}
  • id: 30769358
    {'hecke_orbit_code': 9007542919233761, 'n': 44, 'trace_an': 0}
  • id: 30769359
    {'hecke_orbit_code': 9007542919233761, 'n': 45, 'trace_an': 0}
  • id: 30769360
    {'hecke_orbit_code': 9007542919233761, 'n': 46, 'trace_an': 672}
  • id: 30769361
    {'hecke_orbit_code': 9007542919233761, 'n': 47, 'trace_an': 0}
  • id: 30769362
    {'hecke_orbit_code': 9007542919233761, 'n': 48, 'trace_an': 0}
  • id: 30769363
    {'hecke_orbit_code': 9007542919233761, 'n': 49, 'trace_an': 0}
  • id: 30769364
    {'hecke_orbit_code': 9007542919233761, 'n': 50, 'trace_an': 0}
  • id: 30769365
    {'hecke_orbit_code': 9007542919233761, 'n': 51, 'trace_an': 0}
  • id: 30769366
    {'hecke_orbit_code': 9007542919233761, 'n': 52, 'trace_an': 312}
  • id: 30769367
    {'hecke_orbit_code': 9007542919233761, 'n': 53, 'trace_an': 0}
  • id: 30769368
    {'hecke_orbit_code': 9007542919233761, 'n': 54, 'trace_an': 0}
  • id: 30769369
    {'hecke_orbit_code': 9007542919233761, 'n': 55, 'trace_an': 0}
  • id: 30769370
    {'hecke_orbit_code': 9007542919233761, 'n': 56, 'trace_an': 0}
  • id: 30769371
    {'hecke_orbit_code': 9007542919233761, 'n': 57, 'trace_an': 0}
  • id: 30769372
    {'hecke_orbit_code': 9007542919233761, 'n': 58, 'trace_an': 3864}
  • id: 30769373
    {'hecke_orbit_code': 9007542919233761, 'n': 59, 'trace_an': 0}
  • id: 30769374
    {'hecke_orbit_code': 9007542919233761, 'n': 60, 'trace_an': 0}
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