Embedded newform data - 825.2.n.f.526.1

Formats: - HTML - YAML - JSON - 2025-07-17T15:44:19.927092

• 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': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [825, 5, [551, 727, 376], [5, 5, 1]], 'cm_discs': [], 'conrey_index': 301, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -2, 4, -3, 1]], [13, [121, 11, 31, -9, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518891523605305, 'hecke_ring_generator_nbound': 2, '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, 11, 3, 1, 5, 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': '825.2.n.f', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '33.2.e.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{10}^{3})q^{2}-\\zeta_{10}^{2}q^{3}+(1-\\zeta_{10}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.2.n', 'trace_display': [3, 1, 0, 3], 'trace_hash': 1126925266788143138, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.234', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46.801', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.283', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1030.887', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [4, 3, 1, 3, 0, -3, 3, 5, -1, 0, 9, 2, 9, 6, 0, 9, -2, -2, -10, 0, 12, 8, 4, 5, 0, 8, 1, 6, -10, 0, 8, 18, 1, -4, 0, 3, 3, 0, -9, 0, 23, 9, -16, -2, 0, 13, 3, 6, -2, 0, -3, -7, -6, 2, 0, 0, -5, 0, -20, 0, 3, 1, 3, -7, 0, -8, -2, 1, -9, 0, -27, -5, -6, -4, 0, -20, 3, -18, 5, 0, -1, 11, -21, 9, 0, -7, 0, 25, 20, 0, 3, -7, -8, 1, 0, 7, 33, -4, 4, 0, 3, -1, -6, 25, 0, -17, -7, 2, 0, 0, -8, -27, 9, 5, 0, 0, -1, -5, 6, 0, -1, 6, 17, 6, 0, -9, 18, 10, -9, 0, -42, 2, -30, -24, 0, -5, -7, -13, 5, 0, 2, -54, 4, -6, 0, -2, 2, -4, -15, 0, -2, -5, -2, 36, 0, -8, -12, -10, 6, 0, -27, -2, -36, 46, 0, -42, -37, 15, 32, 0, 5, -17, 14, 10, 0, 24, -10, 25, 5, 0, 3, 51, 12, -5, 0, -16, 3, 6, -3, 0, 13, 7, 14, 1, 0, -4, -102, 3, -40, 0, 22, 6, -30, -1, 0, -12, -11, 54, -40, 0, -32, 28, -18, 1, 0, -5, 21, 0, -4, 0, -2, -11, 9, 21, 0, 33, -47, -15, -10, 0, 27, -40, -1, 8, 0, -5, -5, -3, -15, 0, -12, 3, -4, -9, 0, -6, -15, 10, -9, 0, -32, 6, 19, 36, 0, 19, -2, 7, 21, 0, -10, -39, 34, 20, 0, 0, -5, 21, -30, 0, 48, 3, 27, -14, 0, -18, -2, -5, -7, 0, 8, -1, 14, -9, 0, -17, 36, -2, 13, 0, -33, -2, -11, 4, 0, 20, 11, -30, 59, 0, -27, 6, -3, -15, 0, 1, 38, -9, -24, 0, 3, 15, -61, -24, 0, 25, 53, 12, 10, 0, -3, 6, 15, -2, 0, 3, 0, -5, 6, 0, 8, -12, 3, -9, 0, 27, 8, -16, 21, 0, 28, 10, -15, -25, 0, -52, 8, -10, 35, 0, 16, 38, 24, 10, 0, 5, -6, 5, 10, 0, 39, 6, -19, 6, 0, 9, 18, 39, -17, 0, 33, -1, -36, -9, 0, 0, 30, -6, -45, 0, 12, 6, -31, 50, 0, 28, -1, 31, -45, 0, -2, 10, -3, -79, 0, 13, 128, -15, -30, 0, 8, 24, 23, -9, 0, -60, -7, -10, 40, 0, -13, -12, -45, -2, 0, 28, -10, -25, -10, 0, 58, 11, -2, -40, 0, 9, -9, -14, -49, 0, -22, 6, -6, 27, 0, 0, 30, 2, 40, 0, 8, -9, -66, -1, 0, 33, 15, -9, 10, 0, 103, 18, 2, -14, 0, 5, 48, -20, -3, 0, -62, 24, 14, -30, 0, 33, -17, 8, 66, 0, -18, -70, -31, -10, 0, 12, -11, -45, 10, 0, -17, 36, 12, -42, 0, -3, 3, 30, 36, 0, -57, 29, 0, -30, 0, 48, 81, 12, 30, 0, 37, -9, 64, 15, 0, 8, -32, 6, -25, 0, -12, 3, 10, -39, 0, -18, 13, 42, -19, 0, 48, -10, 64, -24, 0, 8, -14, -9, -8, 0, -20, -45, 73, -25, 0, 20, 5, -60, -22, 0, 13, 21, -23, -9, 0, 24, 23, 6, 18, 0, 60, 15, 45, 41, 0, -5, 8, 1, -11, 0, 2, 16, 49, 4, 0, 58, 3, 0, 60, 0, 18, -37, 12, -33, 0, 3, 18, -49, 31, 0, 63, -66, 44, -20, 0, 18, -77, 4, 5, 0, -23, 33, 14, 7, 0, -30, -25, 28, 30, 0, -67, -24, 23, -4, 0, -6, -12, -55, -30, 0, 8, -4, 54, 51, 0, -15, -132, -18, -5, 0, 11, 31, -15, -24, 0, -122, -40, -24, -4, 0, -67, -15, 32, 6, 0, 17, -32, 20, 18, 0, -62, 4, -6, 6, 0, 10, -12, 0, 15, 0, 24, -42, 69, 0, 0, 18, -6, -3, 20, 0, -62, -49, 7, 15, 0, 11, 10, -19, 21, 0, -42, 54, -31, -14, 0, -16, 28, 12, 96, 0, -28, -9, 84, -5, 0, -30, 10, -21, -1, 0, 48, 28, 3, 16, 0, -10, -29, 75, 1, 0, 48, 17, -10, -12, 0, 8, -9, -25, 20, 0, -15, 15, 28, -12, 0, 10, -30, 30, -15, 0, 18, 3, -48, 26, 0, -18, -142, -75, -1, 0, 8, 9, -46, -9, 0, -2, -27, -34, 25, 0, -20, -69, -1, -5, 0, -57, 24, 16, -24, 0, -52, 3, 32, 70, 0, 9, -27, -90, -49, 0, -27, -6, 0, 6, 0, 18, 50, 26, -70, 0, -78, -17, -81, 8, 0, 35, 9, -15, -35, 0, -72, -4, -10, -12, 0, 39, -32, -74, 26, 0, -72, -5, -42, 81, 0, -45, 18, 0, -4, 0, -15, 16, 4, 44, 0, -19, 10, 15, -35, 0, 23, 0, 42, -34, 0, -3, 60, 40, -27, 0, -57, -6, -21, 0, 0, -90, -12, -7, -55, 0, 2, -17, 6, -15, 0, -35, 2, -50, 45, 0, 9, -24, 2, -54, 0, -4, -12, -36, 36, 0, 13, 9, 19, 27, 0, -5, -12, -53, 100, 0, 69, 41, -46, 2, 0, -12, -18, 42, 60, 0, -117, 0, -32, -20, 0, -8, 23, 45, 36, 0, 78, 6, -6, 6, 0, 18, 3, -5, -54, 0, -1, 18, -5, 30, 0, -45, -59, 40, -10, 0, -22, 96, -48, -45, 0, 4, 33, -14, 3, 0, -47, -30, -81, 96, 0, 30, -9, -1, 105, 0, -13, -34, -162, -6, 0, -17, -6, -50, -25, 0, -20, -67, 17, -34, 0, -20, 63, -3, -59, 0, -82, -6, -47, -30, 0, -32, -42, 10, 14, 0, -53, 0, 24, -17, 0, -30, 10, 20, 21, 0, 27, -69, 3, -54, 0, 39, 18, 55, 20, 0, -82, -3, 30, -109, 0, -27, -77, 72, 55, 0, 0, 1, -66, 5, 0, 10, 9, 5, 24, 0, 18, 31, 57, 27, 0, 12, -42, 15, 7, 0], 'weight': 2, '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], [0.13504537836886324, -0.4156269377774534], [0.46708617948135783, -0.33935797363675146], [0.6545084971874737, 0.47552825814757677], [0.0, 0.0], [-0.07796848555407805, -0.2399623244082726], [0.9173390458033078, 0.6664858293759608], [0.6395840920021159, -0.4646850430752306], [0.10300566479164915, -0.3170188387650512], [0.0, 0.0], [0.5098505596841576, 0.8602629869927866], [0.46708617948135783, 0.0], [-0.1511793704291701, 0.4652822595303761], [0.4008918628686366, -0.2912649875053577], [0.0, 0.0], [0.14323725421878944, 0.44083893921935485], [-0.12126781251816648, -0.37322395017641613], [-0.11785113019775792, -0.08562385806216796], [-1.0865285107189815, 0.7894091709276686], [0.0, 0.0], [0.6546536707079772, 0.0], [0.4264014327112209, -0.09573308627047787], [-0.723990394183239, 0.0], [0.14104631539300477, -0.43409592286427934], [0.0, 0.0], [0.17296776544961076, 0.1256684375731985], [-0.05947034829551499, -0.18303091189918488], [0.2834733547569204, 0.8724412771632143], [-0.6718520450769796, -0.4881290832758004], [0.0, 0.0], [0.1584057718279251, -0.4875228361483446], [0.9931374825953897, 0.0], [0.5300812540898763, 0.22879509915170237], [-0.17149858514250885, 0.0], [0.0, 0.0], [0.21816949906249125, -0.1585094193825256], [0.031397412717291996, 0.022811555608448997], [0.18136906252750293, 0.5581965778938048], [0.0872834502131995, 0.26863083778901997], [0.0, 0.0], [1.5091256396578658, -1.096443957314733], [0.08840795266132397, -0.2720917004611259], [-0.9509914510656554, 0.0], [-0.07537783614444091, 0.8054977833648306], [0.0, 0.0], [-0.09777155671789794, 0.30090991051467103], [0.1909397527551012, -0.13872585066340978], [0.21650635094610965, 0.15730107154560238], [0.08829056982141355, 0.2717304332271867], [0.0, 0.0], [-0.1832990426877444, -0.1331745498553164], [-0.320203044966793, 0.23264112976518805], [0.40825427091091765, -1.256477448564017], [-0.08410377311856897, 0.0], [0.0, 0.0], [0.8964214570007952, 0.0], [-0.23961015435301702, 0.7374442273923019], [-0.29361010975735174, 0.2133202313910378], [-1.0876114372088057, -0.7901959630772296], [0.0, 0.0], [0.31075203531737255, 0.9563964232399804], [-0.18123565609260167, -0.13167541174222902], [0.30577968193443594, -0.22216194312532028], [-0.009118627109394716, 0.028064248536224086], [0.0, 0.0], [0.16667842996371976, -0.18941832767672429], [1.1682215984151918, 0.0], [0.09810772119787167, -0.30194451840046926], [-0.3381659072002514, 0.2456919131024969], [0.0, 0.0], [-0.20398961529229132, -0.6278154807397983], [-0.08143312816035617, -0.2506253979198107], [-0.3064177014417493, -0.22262549143108043], [0.013721172483689805, -0.009969015343497587], [0.0, 0.0], [-1.0865285107189815, 0.0], [-0.10564726444438112, 1.1289610007567599], [0.12343743906222354, 0.0], [0.32931896465073834, -1.0135395559851765], [0.0, 0.0], [-0.08989077715277194, -0.06530947247694145], [-0.25191120140956613, -0.7753029574082613], [-0.024021584562831363, -0.07393083534588929], [0.4284763901933414, 0.31130631972168166], [0.0, 0.0], [-0.1284270003347157, 0.3952576646589553], [-0.47946330148538413, 0.0], [0.7258436504391321, 0.31329059213004623], [0.05595347686320276, 0.0], [0.0, 0.0], [-0.44878677205166345, 0.32606267590178123], [-0.47385786487503845, -0.34427789106153317], [-0.09145561500604299, -0.28147144068633656], [-0.03187266934533548, -0.09809398972996937], [0.0, 0.0], [0.4638807924452141, -0.33702912363627596], [0.4403435531970484, -1.3552381043758113], [0.12486172127109174, 0.0], [0.32523706901366856, -0.07302027150394128], [0.0, 0.0], [-0.0922450205429951, 0.2839009811115691], [-0.08010461892067282, 0.05819941233553169], [-0.4782888786540678, -0.3474972110141757], [0.11951778644662117, 0.36783792374639357], [0.0, 0.0], [-0.46709302184722096, -0.3393629449065432], [-0.33130552352065995, 0.24070755260083984], [0.048112522432468816, -0.14807511822238434], [0.0, 0.0], [0.0, 0.0], [0.022406580838504643, 0.0], [-0.16241577991828038, 0.4998643720319706], [0.05389850966943267, -0.039159559470951004], [0.27414344205709756, 0.19917686942825483], [0.0, 0.0], [-0.20761369963434992, -0.6389692654566866], [0.13193091006045934, 0.09585341691737403], [-0.47530362643406093, 0.3453282983195183], [0.13750477455423168, -0.4231961809285536], [0.0, 0.0], [-0.48010481357950247, 0.8772111307876749], [0.4394697428808713, 0.0], [0.3328047298245642, -1.0242676380751194], [0.3355088087457059, -0.2437614180741723], [0.0, 0.0], [-0.05104235526751908, -0.15709221650549407], [0.10168200793754681, 0.3129450418563112], [0.8138979304023672, 0.5913314598928672], [-0.4441949635976897, 0.3227265317795147], [0.0, 0.0], [-0.6243400100573785, 0.0], [0.2381441500293052, 0.4018169519436817], [-1.5228450532637565, 0.0], [0.15776292777665776, -0.4855443655947881], [0.0, 0.0], [-0.25099255112295, -0.18235676260338285], [-0.19727263509423754, -0.607142741364716], [0.05644843459016714, 0.17373041783747153], [0.05860841359681627, 0.042581504977014656], [0.0, 0.0], [0.042107596053325945, -0.12959385516334695], [-0.2884848805296285, 0.0], [-0.47734399300436525, 0.10717040365558493], [0.15450849718747373, 0.0], [0.0, 0.0], [-0.13390944570481905, 0.09729090720617585], [0.13345319413753082, 0.09695942103907185], [0.009702334109047325, 0.029860713959588878], [0.37973487866221456, 1.1687037845499402], [0.0, 0.0], [-0.13167373859441284, 0.09566657091030177], [-0.32809971636610524, 1.0097870956118322], [-0.13081029493049556, 0.0], [0.45495942881417456, 0.19637081451647007], [0.0, 0.0], [-0.07061379455015802, 0.21732691298449697], [-0.23942606534028665, 0.17395321878270859], [-0.3767813377851375, -0.27374766565965564], [-0.23570571320823272, -0.7254275931591295], [0.0, 0.0], [-0.6641446573708132, -0.4825293383274449], [-0.039283710065919304, 0.028541286020722655], [-0.44222086345013956, 1.3610158712359202], [1.5091256396578658, 0.0], [0.0, 0.0], [-0.03397165067844829, 0.0], [-0.23994811870246346, 0.7384843747067453], [0.41870607355561373, -0.3042077691722942], [0.6153846153846154, 0.44710309415714516], [0.0, 0.0], [0.13833898711628215, 0.42576362319728106], [-0.622431985475117, -0.4522233082384876], [0.9461204733624429, -0.6873967605143779], [-0.06474930296307804, 0.19927786377303816], [0.0, 0.0], [-0.3062078284045019, 0.34798368805445934], [-0.7761675717719198, 0.0], [0.007556258454044651, -0.023255772246654555], [0.1352122784980467, -0.09823747063733576], [0.0, 0.0], [-0.4013184045602044, -1.2351310468803791], [0.07491385206992192, 0.230561129221981], [0.4697087331266042, 0.34126337039199844], [-0.4630527388819409, 0.3364275075070916], [0.0, 0.0], [-0.12933777109671835, 0.0], [0.25924228811195, -0.29461065050793706], [0.1909397527551012, 0.0], [0.06743303655956855, -0.20753754648112113], [0.0, 0.0], [0.43740699724834126, 0.3177947855480438], [0.005264641816248858, 0.016202901446993538], [0.4128912077569557, 1.2707484727579899], [-0.5038071015272542, -0.36603728517066475], [0.0, 0.0], [-0.07142857142857142, 0.21983453836966096], [-1.73714315120705, 0.0], [0.013572571203669595, -0.1450383372397122], [-1.184413173719517, 0.0], [0.0, 0.0], [0.545660163191357, -0.39644531439686626], [0.10553963170954378, 0.07667903082700668], [-0.2909849970423181, -0.8955597349621323], [-0.056642519243171964, -0.17432774897884284], [0.0, 0.0], [-0.2090199042874853, 0.15186184966446814], [-0.07457511185561265, 0.2295185940410221], [-0.22676905564375513, 0.0], [-1.2330666606446024, -0.5322195544666561], [0.0, 0.0], [-0.4737740786813265, 1.4581266822978918], [0.8646964218416311, -0.6282387242820086], [-0.3083349194223892, -0.22401843182947193], [0.05530326320785052, 0.17020594272687145], [0.0, 0.0], [-0.123088015895608, -0.08942867823595908], [0.4702388613684154, -0.34164853110497095], [0.0, 0.0], [-0.21867320914382346, 0.0], [0.0, 0.0], [0.19198767439875444, 0.0], [0.00302590518728838, -0.009312778579970649], [0.03836750399689317, -0.02787562334715855], [0.9110437906355541, 0.6619120587719421], [0.0, 0.0], [-0.008997023155799071, -0.027689990050187345], [-1.3364238072507715, -0.9709687314065247], [-0.5075024509692986, 0.36872211369615093], [0.2042041777396911, -0.6284758360518566], [0.0, 0.0], [0.3337755404097504, 0.5631743222090365], [-0.6565321642986128, 0.0], [-0.49246951699061164, 1.5156653250026542], [0.05765592181653692, -0.04188947919106617], [0.0, 0.0], [-0.336090417374082, -1.034379944554572], [-0.19013239289035264, -0.5851673354823755], [-0.1573223484512464, -0.11430137675550883], [-0.1340879251061119, 0.09742058008158803], [0.0, 0.0], [-1.4895871922305235, 0.0], [0.29975663986702206, 0.31800780254686367], [-0.06415002990995841, 0.0], [-0.25140367760835824, 0.7737409597605591], [0.0, 0.0], [-0.3807694812156013, -0.27664522146967274], [-0.20303738653938716, -0.6248848219833603], [-0.12523075837329428, -0.3854206433934598], [-0.03630916863079458, -0.02638015516679044], [0.0, 0.0], [-0.1521071243922196, 0.4681375926290027], [0.30577968193443594, 0.0], [-0.3691269076802783, -0.6228221390541582], [0.1438000746746074, 0.0], [0.0, 0.0], [0.3318135621484342, -0.24107666426978733], [-0.589117495729261, -0.4280189146393246], [0.07414736321446427, 0.22820211909011068], [0.013598494063720306, 0.0418518613102874], [0.0, 0.0], [-0.22395068169232651, 0.1627096944252668], [-0.08431423288901856, 0.2594925265120927], [1.0067189575787432, 0.0], [0.44534919808912693, -0.0999871246446508], [0.0, 0.0], [-0.20565318641515568, 0.632935426197558], [0.02613509573673193, -0.018988258526227347], [0.7646109627606755, 0.5555223818247541], [0.292562018692897, 0.9004133085338878], [0.0, 0.0], [1.3401896401166258, 0.9737047691369282], [0.14716158179680752, -0.10691914766392023], [-0.09897012978677722, 0.3045987391168624], [-0.2789856360353493, 0.0], [0.0, 0.0], [-0.3381659072002514, 0.0], [-0.5674513033067645, 1.7464355343358706], [0.025612815909332877, -0.018608800020102633], [-0.13823723155322282, -0.10043522767714094], [0.0, 0.0], [-0.014082634873673323, -0.043341893510754494], [-0.04817626093509206, -0.03500210240962769], [0.00867273789046093, -0.006301112911663365], [0.16503106544747134, -0.5079133932501744], [0.0, 0.0], [-0.019920193455634134, 0.21286988979047874], [2.1151442345362237, 0.0], [0.102298786624243, -0.3148432914664367], [0.6844267597426007, -0.49726514825790685], [0.0, 0.0], [-0.2542324689742322, -0.7824470843774127], [-0.09468827712280935, -0.29142055166435854], [0.00263389218019265, 0.0019136346830907194], [0.05832118435198043, -0.04237282071535456], [0.0, 0.0], [0.030681474404530028, 0.0], [0.12713372861932623, -0.14447855233350224], [0.5370262155102055, 0.0], [0.10945241198938876, -0.3368598864838651], [0.0, 0.0], [-0.8723815902876715, -0.6338223259929419], [0.021979674065393057, 0.06764648102353808], [0.053257687441900785, 0.1639103078679633], [-0.5036336620276013, -0.36591127399813095], [0.0, 0.0], [-0.017665325773431367, 0.05436828231172741], [-0.032092492742843294, 0.0], [-0.6059998904898667, 0.6886763083492803], [-0.34132807439314455, 0.0], [0.0, 0.0], [-0.1159661296347736, 0.0842543249878458], [0.1806538386807471, 0.13125269664898268], [-0.45121335081792135, -1.3886919015659986], [0.03996626005394138, 0.12300350061048035], [0.0, 0.0], [0.6975087602701889, -0.5067697779925883], [0.33602635016583865, -1.0341827659624885], [-0.33333821634790584, 0.0], [0.07737524200944677, -0.8268423334214163], [0.0, 0.0], [-0.07306220393265343, 0.22486234223326854], [-0.2902418578231172, 0.21087305311578008], [0.42638734481262625, 0.30978853940965895], [-0.027777777777777776, -0.08549120936597926], [0.0, 0.0], [0.5059549750010689, 0.3675978065941658], [0.0, 0.0], [0.4557116444233154, -1.4025362257407006], [0.2676153042335724, 0.0], [0.0, 0.0], [1.4618894687223454, 0.0], [0.019433870143145467, -0.059811302203160485], [0.010465804239097333, -0.007603851869482999], [0.27453011477679096, 0.19945780360353157], [0.0, 0.0], [0.09377079425646219, 0.28859682975096146], [-0.012859442142955327, -0.009342931603281437], [0.2689329381223514, -0.1953912167273225], [0.01188614021066454, -0.036581778046919054], [0.0, 0.0], [0.5001611226758383, -0.11229316843945274], [0.19564087178480308, 0.0], [0.25028024020676215, -0.7702833749646198], [-0.6082390037316019, 0.44191150340262014], [0.0, 0.0], [-0.15793141330297333, -0.4860629107253818], [0.3474424623026756, 1.0693179463445783], [-0.3138128049117434, -0.2279983486010312], [0.4384532679663455, -0.3185549457204806], [0.0, 0.0], [0.09415172606687737, 0.0], [0.5063517013445747, 0.8543594172720065], [0.5573755567102993, 0.0], [-0.10481784340758071, 0.3225961510577248], [0.0, 0.0], [0.03662202605414892, 0.02660745939005955], [-0.07938841860374447, -0.24433242897912197], [-0.02257034578611353, -0.06946438165427446], [0.5449979929079249, 0.3959642195251715], [0.0, 0.0], [0.24836037108555123, -0.7643746253767378], [-0.5675499305589736, 0.0], [0.07343826867024937, 0.572660592347727], [-0.44878677205166345, 0.0], [0.0, 0.0], [0.20527024319988083, -0.14913756141871667], [0.23489808793734626, 0.17066345063362512], [-0.10370239614358617, -0.31916315737674167], [-0.19214490035179282, -0.5913611965648924], [0.0, 0.0], [1.2119319977209264, -0.8805201373947492], [0.07398914677090124, -0.2277151789464463], [0.22867293120058582, 0.0], [-0.0874386496199493, -0.14753388511973137], [0.0, 0.0], [0.05765820050180532, -0.17745369446755616], [0.3286879720053437, -0.2388057901057177], [-0.07715167498104596, -0.05605397298057708], [0.025136574590754714, 0.07736242179894356], [0.0, 0.0], [0.15369465587356798, 0.11166570381929608], [0.1911538670035665, -0.13888141377077176], [-0.42457093504457627, 1.3066949771497962], [0.5808335207763312, 0.0], [0.0, 0.0], [0.583916345794494, 0.0], [-0.09795750662819291, 0.3014822054923251], [0.9326626123982459, -0.6776190521879056], [-0.9955469432424289, -0.7233071928913638], [0.0, 0.0], [0.08779673138676648, 0.270210554806849], [0.18273831200060456, 0.1327671551643516], [-0.29162058999505347, 0.211874760673421], [-0.23459315413563547, 0.722003488417262], [0.0, 0.0], [0.24759362778752722, 0.10686702874682712], [1.942709066763611, 0.0], [-0.1599495251900183, 0.4922740204563178], [-0.7112998778710529, 0.5167896114383392], [0.0, 0.0], [-0.40261234365621307, -1.2391133819342726], [-0.09108446881999684, -0.280329170179657], [0.2028880419184666, 0.14740679087750036], [-0.19537808880299593, 0.14195049055578454], [0.0, 0.0], [-0.41151492926434124, 0.0], [-0.0036159485191305713, 0.038640516442256925], [-0.17911937321834023, 0.0], [-0.16893049669612095, 0.51991460860849], [0.0, 0.0], [-0.29818205186017976, -0.21664194176432064], [-0.14779939172464399, -0.45487975471545317], [-0.4710540261928267, -1.4497552215337834], [0.08532308620681497, 0.06199085074991869], [0.0, 0.0], [-0.15014189936838188, 0.46208925192629247], [0.041825553235803115, 0.0], [-0.3877247373890379, 0.44062192913092907], [0.8063990954167319, 0.0], [0.0, 0.0], [1.4695417543482927, -1.0676845812136415], [0.5420557281381911, 0.393826539041308], [-0.02431083191631576, -0.07482104716387973], [-0.3227533401424811, -0.9933326415248389], [0.0, 0.0], [-0.13474730068472013, 0.09789964448137506], [-0.35235968779582644, 1.0844516102934272], [-0.33130552352065995, 0.0], [-0.18659165097239297, 0.21204830459059917], [0.0, 0.0], [-0.5880484915716212, 1.8098271615707193], [0.07216878364870322, -0.05243369051520079], [-0.233273253613899, -0.16948293939667786], [-0.07849474782208304, -0.24158199312674808], [0.0, 0.0], [0.0, 0.0], [0.786636204766763, -0.5715246568317868], [-0.0295308062679612, 0.09088647629041598], [0.15710885443302935, 0.0], [0.0, 0.0], [0.09523809523809523, 0.0], [0.02592704813133791, -0.0797952492013691], [-1.5807296258239603, 1.1484672984391082], [0.014665297551719317, 0.010654962357176983], [0.0, 0.0], [-0.006404505876087885, -0.01971104229857786], [0.573977861796621, 0.4170193267288287], [-0.027069296653046727, 0.019666995221631626], [-0.356887280796516, 1.0983861087346791], [0.0, 0.0], [1.712658705803039, 0.739222365220246], [0.05389850966943267, 0.0], [-0.029037769849194716, 0.08936906622115051], [-0.5840386192234898, 0.4243288948633946], [0.0, 0.0], [0.18942845956501073, 0.5830008514757017], [-0.11855618939488341, -0.36487843233086403], [-0.23363465675799888, -0.16974551415062128], [-0.061099680895914804, 0.0443915166184388], [0.0, 0.0], [-0.9822671419135104, 0.0], [0.27914526311954124, -0.06267201633517179], [0.7342126991178229, 0.0], [0.11895206509531508, -0.36609681245685033], [0.0, 0.0], [0.5634456054691934, 0.409367194591099], [0.1396203334740976, 0.4297072017881492], [0.04076889329203466, 0.1254737517137497], [1.071655286377007, 0.7786031409146597], [0.0, 0.0], [-0.05280019429435796, 0.16250228873940026], [-1.0628112186587262, 0.0], [-0.48486352358067364, -0.8181027462983451], [-0.26888780867198653, 0.0], [0.0, 0.0], [0.2912397861212544, -0.2115980904642768], [-0.35627451909902996, -0.25884858977010344], [0.022382662795162933, 0.068886752802818], [-0.3966148528063568, -1.2206550030813106], [0.0, 0.0], [-0.015360453224606996, 0.011160022517114064], [-0.20116186598818364, 0.6191125632592873], [-0.47396296910937274, 0.0], [-0.7313713610795216, 0.34583873319823766], [0.0, 0.0], [-0.008663165061564228, 0.026662480489808064], [0.6166097383407967, -0.4479931980868465], [0.643175171476538, 0.4672941150348454], [0.2553163345542068, 0.7857828796294116], [0.0, 0.0], [-0.920602419140524, -0.6688568088902072], [0.7048917293851529, -0.5121338190375597], [-0.1007074368138451, 0.30994562035308815], [-0.2871382257127898, 0.0], [0.0, 0.0], [0.23760865774188764, 0.0], [0.23130248232991768, -0.7118758419745576], [-0.01586768852607169, 0.011528550535333785], [0.6360465615281988, 0.46211487674181484], [0.0, 0.0], [0.13853411092441156, 0.42636415252927184], [0.1740292299167543, 0.12643963665054486], [1.0125087691640773, -0.7356306807760651], [0.09233648811186564, -0.28418248934246737], [0.0, 0.0], [-0.30871054134889464, 0.0693098348653413], [0.4391656489514953, 0.0], [-0.08226247244364367, 0.25317785716713503], [-0.8469202102906838, 0.6153235506034253], [0.0, 0.0], [-0.13271218656114264, -0.4084461117617596], [0.2554932783487086, 0.786327456632755], [0.2091025093819357, 0.15192186577861627], [-0.2574537859168469, 0.18705112446457695], [0.0, 0.0], [-0.4441949635976897, 0.0], [0.21669145447296317, 0.09352894943736714], [0.019231174732763277, 0.0], [0.2086462254993306, -0.6421470533130453], [0.0, 0.0], [0.5257295452059882, 0.38196487282106734], [0.03738302749557374, 0.11505312829289714], [0.16186080912224393, 0.4981563475493962], [-0.40863584171666706, -0.29689131747442576], [0.0, 0.0], [0.13595274253732895, -0.4184195175409631], [-0.2011647201483191, 0.0], [-0.024934405459937255, 0.2664524395342519], [-0.4758379091303982, 0.0], [0.0, 0.0], [-0.3625371457362686, 0.26339865435907656], [-0.9967150272610396, -0.7241558556071679], [0.2820072578058315, 0.8679290947129452], [-0.004362607852509065, -0.013426726366818636], [0.0, 0.0], [0.7471759502796409, -0.5428551037809781], [0.029818117611935854, -0.09177072968381046], [0.4137451746707459, 0.0], [-0.1887446377065827, 0.21449502278196417], [0.0, 0.0], [0.2598985025734081, -0.7998853427066782], [0.585684348531264, -0.42552458719507746], [-0.6066018495867448, -0.44072204129148124], [-0.12043561004414155, -0.37066269432251303], [0.0, 0.0], [0.11323398256574412, 0.08226930394943069], [0.7477909015455306, -0.5433018920282978], [0.15959691431636583, -0.49118879577544866], [0.335204903477811, 0.0], [0.0, 0.0], [1.1153199768954252, 0.0], [-0.10211617747947498, 0.3142812783078465], [0.9776068963737651, -0.7102729858868702], [0.649233977200782, 0.471696095062431], [0.0, 0.0], [0.018110995814771966, 0.05573991366097359], [0.5110963039857837, 0.37133320075202764], [-0.06041188536420056, 0.043891803914076336], [0.1437702888556287, -0.44247945114589926], [0.0, 0.0], [0.021110016546037454, -0.2255845007548961], [-0.01991585323229713, 0.0], [0.11576007099603056, -0.35627286476672176], [0.0891853196254953, -0.06479692758167348], [0.0, 0.0], [-0.0014476990941533448, -0.0044555596688592766], [-0.03893248180994078, -0.11982185832782975], [-0.42220497658545086, -0.3067498710248377], [0.8163144043603754, -0.5930871309911775], [0.0, 0.0], [1.451602326983072, 0.0], [-0.36338825487806803, -0.15684661769098304], [0.31215295767905066, 0.0], [0.2856404534576639, -0.8791109211579264], [0.0, 0.0], [0.00795762523437719, 0.005781553154703656], [-0.13847309650392056, -0.4261763694517965], [-0.11424812009867065, -0.35161955838089987], [0.6240944034897881, 0.4534311256254684], [0.0, 0.0], [0.027237916650411434, -0.08382968766192299], [-0.35953900561895624, 0.0], [1.2890497115081359, -0.2894096918344982], [-0.29943062342529264, 0.0], [0.0, 0.0], [0.0011510530894146298, -0.0008362890214516857], [-1.2790676437926105, -0.9292970394109438], [0.041239304942116126, 0.12692152990490085], [0.21274261053868412, 0.6547544301105946], [0.0, 0.0], [-0.8113955577095078, 0.5895133797105855], [-0.005558942789172973, 0.017108666706336748], [-0.9122517475710787, 0.0], [-0.0428803557960518, -0.07235136308034378], [0.0, 0.0], [-0.3072119701946402, 0.9455012230912186], [-0.553223024240039, 0.40194005458212895], [-0.12522700068885773, -0.09098274165501176], [-0.10469298081370956, -0.3222118635081586], [0.0, 0.0], [-1.1164995489451688, -0.8111844048074681], [-0.38124473438985845, 0.2769905131123401], [0.12033344236871979, -0.37034825454983605], [-0.13167373859441284, 0.0], [0.0, 0.0], [0.07531774388096336, 0.0], [-0.16714584350940387, 0.5144220108761635], [-1.0790721899035671, 0.7839918367528185], [-0.439830407482306, -0.3195554961458226], [0.0, 0.0], [0.03568052564052724, 0.1098133663616102], [-0.08561644955160887, -0.06220399169606935], [1.1323004417815745, -0.8226644254335721], [-0.00433394282525727, 0.013338504484353106], [0.0, 0.0], [0.4570409815647435, 0.7711582002039299], [-0.788405732811551, 0.0], [-0.0460947789543377, 0.1418651423374975], [0.2867901089239984, -0.20836521074457465], [0.0, 0.0], [0.043055960904684415, 0.13251262205360856], [0.019357677234704086, 0.05957680454320095], [0.051328309075067885, 0.03729219943364033], [-0.10592069182523703, 0.07695588720678448], [0.0, 0.0], [-0.6381120402505136, 0.0], [-0.7565613450999824, 0.16985860497428726], [-0.23942606534028665, 0.0], [0.004706323334898251, -0.014484573848440084], [0.0, 0.0], [-1.4902092326570358, -1.0827003831515718], [-0.26034950124620254, -0.8012733738972256], [0.27353359186173076, 0.8418498325372636], [-0.3844554105191521, -0.27932320586392356], [0.0, 0.0], [0.19068992765672776, -0.5868832510542511], [-0.1397790627155474, 0.0], [-0.3332087782311593, -0.14382047066446468], [-0.22004142059662846, 0.0], [0.0, 0.0], [-1.1421294421990218, 0.8298056122446299], [0.08359213374933092, 0.060733240175601125], [0.46993725203222114, 1.4463181440849449], [-0.20523198585090796, -0.631639104155124], [0.0, 0.0], [0.18633810230530257, -0.13538255591261608], [-0.3377144282186401, 1.0393781359950627], [-0.08784104611578832, 0.0], [0.12525703952665848, -1.3385137176958524], [0.0, 0.0], [0.10370091998848144, -0.31915861423847747], [-0.9366388193217217, 0.6805079356179601], [1.6157137590653645, 1.1738847590443946], [0.0, 0.0], [0.0, 0.0], [0.6995182039518655, 0.5082297242849579], [-0.10213923381391643, 0.07420849714369347], [0.03614021001752123, -0.11122812940098127], [-0.41496154377832817, 0.0], [0.0, 0.0], [-0.3854477164593155, 0.0], [0.1974214164370656, -0.6076006432541767], [0.0896747893424251, -0.06515254814719373], [-0.049718376758362895, -0.036122515138343955], [0.0, 0.0], [-0.0017470071744232311, -0.005376735220049435], [0.4864144269480977, 0.35340076741314985], [-0.5082182709484119, 0.36924218735337266], [0.008461115805191512, -0.026040636819771257], [0.0, 0.0], [-0.6643153446760893, 0.7549477257850413], [0.6501610984987516, 0.0], [-0.14790089504564174, 0.45519214981545664], [-0.005619782281943965, 0.004083010825963304], [0.0, 0.0], [0.19016430423073688, 0.5852655484893253], [-0.16066351332078213, -0.4944714499721082], [-0.013599204086000884, -0.009880400115503916], [1.307191326912236, -0.9497300912414981], [0.0, 0.0], [-0.9537310714514589, 0.0], [0.02087238232533649, -0.22304510923323628], [0.11905656197311826, 0.0], [-0.11191859156168917, 0.344450006753252], [0.0, 0.0], [-0.2863513306204547, -0.20804641964668405], [-0.11789733698765685, -0.36285069312371454], [-0.13621740423618672, -0.41923406249445855], [0.5228970426654954, 0.37990693926471614], [0.0, 0.0], [-0.3090747989499326, 0.951234420483959], [0.9461204733624429, 0.0], [0.34701963876342545, 0.14978155149965755], [0.49135784233274665, 0.0], [0.0, 0.0], [-0.3066571003288662, 0.222799424903728], [-0.5922275100324547, -0.4302784722932998], [-0.07318892913408653, -0.22525236229946438], [0.28432740820221464, 0.8750697833916641], [0.0, 0.0], [0.3265510618876966, -0.23725323402672216], [0.012714755470783016, -0.03913199359163788], [-0.052121835280584616, 0.0], [-0.0287917714087561, 0.006464155428907855], [0.0, 0.0], [0.07527099294949814, -0.231660295827505], [-0.27383593998181077, 0.19895345609310908], [-0.5080082709660898, -0.3690896134353353], [0.5656767717853582, 1.7409740878862399], [0.0, 0.0], [-0.2873894141985194, -0.208800631513772], [0.035786953693912944, -0.026000743806386298], [-0.11468425718659969, 0.3529618503163706], [-0.11227217828476796, 0.0], [0.0, 0.0], [0.1352122784980467, 0.0], [-0.02957016600539166, 0.09100761310633325], [0.23817285619320816, -0.1730427090408707], [0.04777894275640055, 0.03471343385565868], [0.0, 0.0], [-0.20715109667424048, -0.6375455199421093], [-0.28415476457504213, -0.20645052099911929], [-0.6957655906233181, 0.5055032911106085], [0.32467340944464573, -0.9992420072063467], [0.0, 0.0], [0.24793066716263643, 0.04681224364744249], [-1.4410188774724944, 0.0], [-0.1355204315085796, 0.41708900100484186], [-0.02996359238425731, 0.021769824158980485], [0.0, 0.0], [0.11532465299420899, 0.3549327859507258], [0.14514798094244755, 0.4467195514007982], [-1.1267861610181185, -0.8186580659475595], [0.10265422854100863, -0.07458266271462448], [0.0, 0.0], [-0.7190219975023858, 0.0], [0.5956184357871067, 1.0049778017221405], [-0.2717339240183323, 0.0], [-0.2841843472900893, 0.8746294871776027], [0.0, 0.0], [-0.3068956041151973, -0.2229727080475879], [-0.20230207316720736, -0.6226217601231376], [-0.39883015582902326, -1.2274730047240257], [-0.1892891250219126, -0.13752659941734321], [0.0, 0.0], [0.030881222516700144, -0.09504263014749378], [-0.025911826857527288, 0.0], [0.3097719698673583, -0.06954814041530609], [-0.46434766564803603, 0.0], [0.0, 0.0], [-0.35198381831962927, 0.2557312131789231], [0.08850544275461543, 0.06430296812117205], [0.08781908921350788, 0.27027936512213807], [-0.054866327720408774, -0.16886119357036433], [0.0, 0.0], [0.14282546339778046, -0.10376877324056057], [-0.021836922162054677, 0.06720713584073312], [0.03554848469784825, 0.0], [-0.38377373609767523, -0.16564545402203426], [0.0, 0.0], [-0.34600905991098674, 1.0649063874015299], [0.06716702748889633, -0.048799701950388304], [0.0, 0.0], [0.13516619560825333, 0.41599877500613125], [0.0, 0.0], [0.48576128939443247, 0.35292623520377464], [0.5320885755211472, -0.3865849787819056], [0.07317424076630977, -0.22520715615176987], [0.45750195325476345, 0.0], [0.0, 0.0], [-0.42042027189600856, 0.0], [-0.3340360039033743, 1.0280571100372238], [-0.9092998703064278, 0.6606450264873788], [0.11207541731649329, 0.08142755702438083], [0.0, 0.0], [-0.3481221452685481, -1.0714097954191426], [0.02055443148610853, 0.014933668613630277], [-0.43506996728798236, 0.3160968338926204], [-0.7741651184328157, 2.382635240056007], [0.0, 0.0], [0.4360822012150004, -0.4955767900004206], [0.12416332825919275, 0.0], [-0.04938743611270089, 0.15199889906735412], [-0.10714285714285714, 0.07784384228628867], [0.0, 0.0], [0.04867884505499166, 0.14981808003445282], [0.11336687360299273, 0.34890736054895855], [-1.1369749532960387, -0.8260606568464811], [0.4702245117069104, -0.34163810546562506], [0.0, 0.0], [0.07554249890237177, 0.0], [0.17408502746136273, -0.1978354054718746], [-0.49197358587073164, 0.0], [0.26235388098171303, -0.807442220411454], [0.0, 0.0], [-0.7752084863802072, -0.5632219334258851], [-0.11782139210511278, -0.362616958808976], [0.11873392253649441, 0.36542543869481064], [-0.07493065611555207, -0.05444030831929356], [0.0, 0.0], [0.00576352508169836, -0.0177383062600397], [-0.5693798367774339, 0.0], [0.035289233662029275, -0.3771055385158401], [0.545660163191357, 0.0], [0.0, 0.0], [0.08866532548741404, -0.06441912972604395], [0.4422141113922421, 0.32128735841056383], [0.07292609193122167, 0.22444343256725], [0.10510019098402554, 0.3234651275455104], [0.0, 0.0], [-0.09253631586456955, 0.06723156886054694], [0.23541180771537917, -0.7245230450622888], [0.9564185361573194, 0.0], [0.015571722387106265, 0.006721108773480024], [0.0, 0.0], [0.03245327571370758, -0.09988091239148729], [1.0332793250328498, -0.7507213729450396], [0.19327723383734227, 0.14042413007806592], [0.05714043107412802, 0.17586016402394108], [0.0, 0.0], [-1.1411527406969, -0.8290959970661718], [-0.13031033486592797, 0.09467600011871642], [0.38209362058009483, -1.1759632457190454], [-0.46738271463731684, 0.0], [0.0, 0.0], [-0.6661709924523467, 0.0], [-0.5708544341545793, 1.7569092941210434], [-0.15795262162501283, 0.11475929702051105], [-0.4969727019870193, -0.36107180325130384], [0.0, 0.0], [0.3276181627161645, 1.0083050258711428], [-0.011679248665379737, -0.008485470850548231], [0.09070950140397424, -0.06590431046414928], [0.005648347662216064, -0.017383826612244708], [0.0, 0.0], [-0.5539671693028669, -0.9347002620839349], [-0.09865219569453498, 0.0], [0.1089004709568616, -0.33516118665456474], [1.0252736594035488, -0.7449049164003617], [0.0, 0.0], [-0.09590182584050093, -0.295155470574358], [-0.24530365075722038, -0.7549670075444851], [-0.02128622127556452, -0.015465345017230143], [-1.0034696016357165, 0.7290633411489459], [0.0, 0.0], [-0.034380708208626445, 0.0], [-1.0250676796154436, 0.4847169668188806], [0.6123814063663765, 0.0], [0.0019125830975401565, -0.0058863255127789916], [0.0, 0.0], [-0.022731425209526077, -0.016515347136893864], [-0.09528073006074833, -0.2932439343180044], [0.10521577037524048, 0.32382084433508934], [0.40314275459376353, 0.29290035606959774], [0.0, 0.0], [-0.10004454298739236, 0.3079054429365194], [-1.6301305891879556, 0.0], [0.06293464739185378, 0.1061886600344085], [0.24263975366436794, 0.0], [0.0, 0.0], [0.9879546395615458, -0.7177910613816707], [0.6727996900265697, 0.4888175876331271], [-0.12505631552405896, -0.3848837635081903], [-0.059062231995278776, -0.18177485908069502], [0.0, 0.0], [-0.10194414990458772, 0.07406676038703663], [0.1509353872699945, -0.4645313565780334], [0.4702388613684154, 0.0], [1.0398140243089369, -0.23345279367725888], [0.0, 0.0], [-0.17661100577016745, 0.543552784942808], [0.0, 0.0], [-0.38427812966559005, -0.27919440378440963], [-0.13130945907193137, -0.4041289604610709], [0.0, 0.0], [-0.14312347349188603, -0.10398529024770313], [0.1752870412325045, -0.12735349006364374], [0.021216824692007107, -0.06529867206572368], [0.0018796618239466825, 0.0], [0.0, 0.0], [0.4686340817776688, 0.0], [0.012861464606558402, -0.039583517883566996], [0.2881445353935821, -0.20934925917578331], [0.1256575642492468, 0.09129556439264382], [0.0, 0.0], [0.263863715969523, 0.8120890146972879], [0.08149239646569384, 0.059207691741400344], [0.014330892660467, -0.010412002982109167], [-0.11529655963390481, 0.3548463234782137], [0.0, 0.0], [0.01035245883015218, -0.11062777955159221], [0.03836750399689317, 0.0], [-0.09795002643961274, 0.30145918383907694], [0.25083752328399417, -0.18224412828535672], [0.0, 0.0], [0.3525063123737993, 1.0849028743431994], [-0.06319237952552742, -0.1944861461406463], [0.40832287700048747, 0.2966639352983562], [-0.34439931683969854, 0.2502207503000338], [0.0, 0.0], [-0.5184555790452131, 0.0], [0.5385273709349961, -0.6119985293409195], [-0.622570044252037, 0.0], [0.01627576778762544, -0.05009166257486211], [0.0, 0.0], [0.03322277470925477, 0.02413775872461453], [0.44099344556912407, 1.3572382674302843], [-0.4129776681277575, -1.2710145704178246], [0.08050019969149783, 0.0584868185887972], [0.0, 0.0], [0.18485797080990254, -0.5689343334772605], [-0.35941523152952554, 0.0], [0.051352542911666715, -0.05835855786734008], [-0.1676637709455174, 0.0], [0.0, 0.0], [0.43251138909739045, -0.3142379180259283], [-0.5727314690828632, -0.4161137694156877], [0.010199080590613033, 0.03138954242805339], [0.4786619495185391, 1.47317000190542], [0.0, 0.0], [-0.014989959825287877, 0.010890843306163451], [-0.13265063783901188, 0.4082566842729236], [0.3229504270607399, 0.0], [-0.04934637712198267, 0.5273220806269253], [0.0, 0.0], [0.09915203175559073, -0.30515857581165956], [-0.1594296262180226, 0.1158324036713919], [-0.6672414487243158, -0.48477928894612377], [-0.33344111696052026, -1.0262262362867214], [0.0, 0.0], [-0.31043671734828043, -0.22554547740790531], [-1.0430671754093592, 0.7578326625013271], [-0.025573799442338604, 0.0787080615267072], [0.19745296918212307, 0.0], [0.0, 0.0], [0.12892256048718972, 0.0], [0.16754657794411473, -0.5156553446486524], [0.46833053283204246, -0.3402620492658898], [-0.682019189885729, -0.49551594636774576], [0.0, 0.0], [-0.4495997024246402, -1.3837256024712081], [0.060409906434153414, 0.04389036613723714], [-1.092592466727931, 0.7938148928561242], [0.19256267421564172, -0.5926469723079222], [0.0, 0.0], [-0.4055041172305184, 0.09104134662735532], [-0.5955227144516941, 0.0], [0.1538203370294697, -0.47341031895834795], [0.14990772687443055, -0.10891433885088594], [0.0, 0.0], [-0.19400490372305437, -0.5970856983197145], [-0.10870706918483408, -0.33456595720473514], [0.9911258784090026, 0.7200951012708107], [-0.15569767394907366, 0.11312098163551439], [0.0, 0.0], [-0.1340879251061119, 0.0], [-0.24445463261033712, -0.4124645318892395], [-0.5608981038773585, 0.0], [0.22368614268760523, -0.6884351588438773], [0.0, 0.0], [0.5964308671572225, 0.433332390004838], [0.002564047766681269, 0.007891327600045918], [0.042182483108104796, 0.12982433381898734], [-0.9749474746165084, -0.7083408028803204], [0.0, 0.0], [-0.06400650849620507, 0.19699177747083835], [1.1154560742746529, 0.0], [0.10055949083705125, 0.784147810557801], [0.30428884685768076, 0.0], [0.0, 0.0], [-0.9807910707474824, 0.7125864239859606], [-0.041986739670898374, -0.03050515198319748], [0.025383816544266833, 0.07812335428896686], [-0.10292774564580548, -0.3167790282926574], [0.0, 0.0], [-0.37710551641253737, 0.273983195219132], [0.04586584854028945, -0.14116056697102247], [0.36107182302194574, 0.0], [0.028527911494978495, 0.048134705138970585], [0.0, 0.0], [0.0, 0.0], [-0.40231800931075906, 0.2923011435467232], [-0.7045669998787489, -0.5118978892410591], [-0.26310524058064816, -0.8097546674795952], [0.0, 0.0], [0.11522167515580307, 0.08371344714870964], [0.12499941002520058, -0.09081738735888789], [0.1642606962038394, -0.5055424405115022], [0.6885086755219143, 0.0], [0.0, 0.0], [0.6756800128754962, 0.0], [0.1573187094617652, -0.4841772022001316], [0.6828283667695523, -0.4961038477865223], [-0.2646384450337307, -0.19227108486221442], [0.0, 0.0], [-0.011220150158541265, -0.03453207142757676], [-0.3325383364902566, -0.24160324365232838], [0.2779625396833959, -0.2019516062723649], [0.002308004754977998, -0.007103308238117989], [0.0, 0.0]], 'angles': [-0.41494050977566516, None, None, -0.054062267260608775, None, -0.48933051569621816, -0.08143259750414646, -0.4671773176856972, -0.3089521626897456, -0.21814899364700563, -0.4087472750133839, -0.1469114572861124, -0.15872709564542378, -0.32886564326173734, -0.33117469545689465, -0.33515748814219476, -0.2673211295232845, 0.03384974329191751, -0.15072167537876383, -0.49646514826128874, -0.1803233412818542, -0.3605606334056259, -0.05618755158437135, -0.245546782737514, -0.32378350097526676, -0.4738438575571051, -0.19775957364844918, -0.3828203814235676, -0.25, -0.3446973910731661, -0.023695448136004604, -0.30052792732461214, -0.49829394980295216, -0.1442338296138161, 0.055305763026685176, -0.36296618399134617, -0.37363750837393145, 0.17690699775154353, 0.11345914764335521, -0.25059932322983786, -0.3366845641787898, -0.43752118638051996, -0.10643320273212357, 0.06644009799024002, -0.4174807480401042, -0.35087153097882606, 0.18902219435663856, -0.3462256971420552, -0.4953181455331822, -0.3964066104884354, 0.19674632287564897, -0.3632044559097091, -0.3837260373940693, -0.48957696280089325, -0.20931076572647045, -0.16604857960846706, 0.028482272056686225, 0.005340935566948527, 0.2351608343912146, -0.05362684737534826, -0.3491469179729886, -0.14974092191628963, -0.25255394903540607, -0.36141658371787216, -0.41974172622634986, -0.3585110799607234, -0.1195398526650675, -0.15126490873675555, 0.04501738384604495, -0.30632629814707707, -0.20505026991940895, -0.09532307645917919, -0.12681274080718077, -0.23176290307947534, -0.04352509091728825, 0.17052986155988983, -0.25547889651217054, -0.03818609791992318, -0.43708251569566225, -0.49406342382873353, -0.18394902599015717, -0.16871822055773875, 0.2502198367738568, -0.17302573604145804, -0.2374847805487397, 0.3657580038535075, 0.14797719980333182, -0.08072077826820746, -0.3317086532428897, -0.1901742536825596, -0.013732162848855511, -0.43910718301563784, -0.28777512679791123, -0.24632773603857203, -0.08570158779234033, -0.24239348271293348, -0.43767307613950945, -0.09733152440804471, -0.00782608022407955, -0.38092302003069745, -0.27353725297102055, -0.09885100550152626, -0.42001257063139197, -0.2658365732811866, -0.12073462208156467, -0.08596462942345467, -0.2950915074616826, -0.32538166209551495, -0.07709097131645527, -0.27120237037581196, -0.49358585197975435, -0.2266361864239187, -0.3144896337577893, -0.32164058321689676, -0.4636869187404662, -0.4747229511435974, 0.08749227605795687, 0.14200742581830494, 0.09147570030973415, -0.28326322155373795, -0.28086607862182217, -0.4884603928164306, -0.09185453018380664, -0.24052017538554923, 0.1333505224236628, -0.3176572563113413, 0.13401701575977729, -0.14529962874311747, -0.3780459907582271, -0.27260627024010436, 0.12604302421847108, -0.43836186582523945, -0.38490129655682376, -0.45562457357889763, 0.14457147352575822, -0.21326792312278403, -0.44497976648939946, -0.020639731911045324, -0.08052799678403084, -0.022802620844262107, -0.35910713399711425, -0.27458737901197267, -0.34392289597443704, 0.23740954092940952, -0.19968700104518844, -0.2407771577016623, -0.02277241662977124, -0.40164949605935024, -0.23064365962362177, -0.08242817622792657, -0.33272430732961655, -0.21235731082768208, -0.32150520380191444, -0.14198075725423842, 0.07645519231474981, -0.4016557107055685, 0.09099704202833546, -0.4593030410830217, -0.4063069469947285, -0.4203485777400986, -0.29811998486943925, -0.045072010722990205, -0.15583660683828318, -0.45364589063446364, -0.43817784476348487, -0.22170472063635135, -0.1951518607942866, -0.18294427977755698], 'char_orbit_index': 14, 'conrey_index': 526, 'dual_conrey_index': 676, 'dual_embedding_index': 1, 'dual_embedding_m': 3, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': -0.9510565162951535, 'embedding_root_real': -0.30901699437494745, 'hecke_orbit': 6, 'hecke_orbit_code': 22518891523605305, 'label': '825.2.n.f.526.1', 'level': 825, 'weight': 2}
• 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': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [825, 5, [551, 727, 376], [5, 5, 1]], 'conrey_index': 301, 'cusp_dim': 432, 'dim': 152, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 893386752825, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 16, 16, 24, 24], 'label': '825.2.n', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'mf_dim': 528, 'mf_new_dim': 152, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 38, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [-4, 0, 0, -6], 'traces': [152, -4, 0, -42, 0, 2, -6, 8, -38, 0, 10, 8, 6, -6, 0, -34, 2, 6, 20, 0, -16, 36, 20, 24, 0, -18, 0, -16, -4, 0, 0, -8, 6, -40, 0, -42, 46, 46, 16, 0, -28, -22, 24, 70, 0, 70, 18, -40, -76, 0, -8, -62, -26, -8, 0, -156, -8, 44, -14, 0, -14, 12, -6, -118, 0, -12, 12, 68, -2, 0, 4, -2, 16, 50, 0, 48, 94, -80, 34, 0, -38, 50, -30, 72, 0, 0, 64, 42, 76, 0, 26, 70, -52, 54, 0, 20, -30, -136, 20, 0, 38, -4, -100, 2, 0, -50, -72, 8, -24, 0, 56, -158, -76, -44, 0, -60, -14, -62, 46, 0, -70, -136, -16, -20, 0, 24, -40, -94, 24, 0, -96, -38, 28, 198, 0, 42, -2, 64, -14, 0, -38, 124, 20, 116, 0, 44, 40, -68, -82, 0, 100, 192, -8, 72, 0, -36, -60, 126, 78, 0, 36, 6, 72, -80, 0, 68, -40, 134, -148, 0, -10, -114, 110, 44, 0, 142, 72, 106, 184, 0, 78, -96, 28, -126, 0, -76, -134, 228, 4, 0, -8, 68, 116, -106, 0, -84, -152, -14, -128, 0, -76, 44, -8, -2, 0, -84, -30, 100, -110, 0, -160, 66, -82, -34, 0, -6, -2, -220, -88, 0, -304, -82, 10, -162, 0, -74, 28, -116, 104, 0, -84, 104, -76, -18, 0, -118, -64, 202, -102, 0, -48, 44, 0, -138, 0, -80, 38, -142, 50, 0, 54, 44, 66, 24, 0, 298, -58, -6, -110, 0, -4, 42, 4, -64, 0, 214, -30, -166, 20, 0, -12, -172, 76, 580, 0, 260, 92, -136, -10, 0, 252, -132, -8, -178, 0, 338, -124, 42, -70, 0, 68, 8, -184, 12, 0, 764, 6, -244, 146, 0, 274, -72, 56, 78, 0, -10, 4, -18, -48, 0, 116, 54, -106, -64, 0, 26, 146, 96, 72, 0, 96, -24, 96, -32, 0, -64, 36, -10, 64, 0, -192, 58, 46, 150, 0, -124, -24, 104, 12, 0, -192, 16, -66, -12, 0, -144, 124, 112, -38, 0, -24, -20, 296, -128, 0, -458, 62, 26, 44, 0, -54, 44, 68, 412, 0, -212, 36, 152, 2, 0, -438, -116, 24, -114, 0, -200, 156, 18, -94, 0, -84, 232, -86, 16, 0, 212, 14, 138, 286, 0, -160, 240, -40, 38, 0, -30, 64, -84, 48, 0, -110, 22, 10, -66, 0, -608, 34, -384, 132, 0, 66, 76, -236, -40, 0, -2, 56, -318, -116, 0, -28, -232, -42, -248, 0, 12, -130, -24, 218, 0, -102, -40, -16, 6, 0, -292, 70, 80, -160, 0, 224, 90, -340, -44, 0, -172, -34, -142, -168, 0, -114, -160, 4, 296, 0, 102, -92, -128, -8, 0, -148, -20, -68, -180, 0, 222, -126, 28, -356, 0, -88, 44, 86, -232, 0, -134, 34, 134, 406, 0, -62, 12, 28, 80, 0, 2, -10, 438, -60, 0, 634, 136, 92, -736, 0, -216, 112, 252, 40, 0, -178, 78, 200, 154, 0, 304, 144, 116, -98, 0, 24, 230, -8, 270, 0, 456, 66, 492, -58, 0, -12, -36, -128, -102, 0, -116, -180, -34, 120, 0, -14, -106, 154, -212, 0, 262, -44, 16, 168, 0, 246, -74, -84, 82, 0, 206, 58, -94, -44, 0, 8, 32, 34, -64, 0, 694, 222, 12, 54, 0, 304, 168, -46, -158, 0, 224, -6, -84, -136, 0, 100, -98, -172, 150, 0, 122, -60, -126, -32, 0, 406, -236, 176, 240, 0, -324, -120, -136, -70, 0, 148, -346, 212, -12, 0, -186, -104, -160, -112, 0, -162, 18, 42, -456, 0, 192, -68, -344, 324, 0, 178, -22, -124, 178, 0, -174, -300, 64, -298, 0, -12, 182, -76, -276, 0, 228, -148, -384, -150, 0, -6, -274, 144, 300, 0, 258, -144, -96, -36, 0, 282, 12, -84, 234, 0, -24, -54, -12, -218, 0, 100, -216, 302, -212, 0, 298, 16, 202, 736, 0, 52, 260, 192, 262, 0, -160, -48, 200, -96, 0, -366, 164, -150, -4, 0, 288, 284, 108, -16, 0, -236, -6, 332, 18, 0, -382, 40, 230, -18, 0, -208, 236, 4, -184, 0, -292, 22, 288, -18, 0, 342, 10, 164, -216, 0, -316, 216, -170, 444, 0, 34, 162, -62, 320, 0, -688, 46, 136, 36, 0, -520, 170, -96, -268, 0, -90, -28, -150, -38, 0, -446, 16, 8, 482, 0, -572, 108, -140, -126, 0, 196, -198, -58, -200, 0, -40, -20, 64, -148, 0, -56, -348, -154, 520, 0, 72, 74, -588, -52, 0, 162, -52, -120, -106, 0, -336, -6, 136, -508, 0, 96, 198, -188, 70, 0, 164, 56, -70, -40, 0, 272, -204, -36, -152, 0, -52, -120, -178, 186, 0, 356, 42, -124, -552, 0, 162, -96, 138, 600, 0, -14, -360, -52, 8, 0, 640, 56, -154, -420, 0, 274, -116, 32, -312, 0, -236, -4, 340, 6, 0, -160, 128, 178, 1464, 0, 388, -52, 70, 2, 0, 96, -82, 40, -124, 0, -510, 48, -172, -288, 0, 142, -114, 4, 364, 0, -136, -216, 852, 180, 0, -372, -80, 30, -286, 0, 74, -260, -32, -224, 0, -278, 54, -32, 30, 0, -660, -92, -36, 116, 0, 438, 244, -40, 520, 0, -100, 10, -264, -236, 0, -752, -16, 8, -122, 0, 12, -208, -166, 32, 0, -10, 324, -74, 48, 0, 0, -152, 304, -364, 0, -524, -302, -288, -358, 0, 120, 242, -126, -72, 0, -238, -224, -190, -236, 0, -436, -170, 36, 278, 0, 4, 412, -340, -310, 0, -210, -100, 28, 122, 0, -208, -144, 92, 44, 0, 92, 254, -354, -16, 0, 138, -28, -26, 826, 0, -320, 156, 36, 112, 0, 180, -68, -140, -50, 0, -948, 44, -528, 62, 0, 478, -8, 38, -228, 0, -252, 204, -26, 228, 0, 312, -12, -48, -424, 0, 30, 214, 292, 834, 0, -4, 50, 52, 452, 0, -304, -44, 34, 20, 0, 396, -104, 184, -18, 0, -186, 176, 274, -24, 0], 'weight': 2, '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: 45355535
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 526, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.526.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 45355536
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 45355537
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 45355538
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.31.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 45355539
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463084915, 'target_is_minimal': False, 'target_label': '9075.2.a.x.1.2', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 45355540
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.676.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 45355541
    {'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519976819, 'target_is_minimal': False, 'target_label': '9075.2.a.bv.1.1', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 45355542
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 64, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.64.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 45355543
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.97.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
  • id: 45355544
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 45355545
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 45355546
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
  • id: 45355547
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
  • id: 45355548
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148267, 'target_is_minimal': False, 'target_label': '363.2.a.h.1.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 45355549
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.9', 'twisting_conrey_index': 9, 'weight': 2}
  • id: 45355550
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 45355551
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.19', 'twisting_conrey_index': 19, 'weight': 2}
  • id: 45355552
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.24', 'twisting_conrey_index': 24, 'weight': 2}
  • id: 45355553
    {'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.27', 'twisting_conrey_index': 27, 'weight': 2}
  • id: 45355554
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036779, 'target_is_minimal': False, 'target_label': '363.2.a.e.1.2', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.29', 'twisting_conrey_index': 29, 'weight': 2}
  • id: 45355555
    {'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.38', 'twisting_conrey_index': 38, 'weight': 2}
  • id: 45355556
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 148, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.148.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.39', 'twisting_conrey_index': 39, 'weight': 2}
  • id: 45355557
    {'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.16.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.49', 'twisting_conrey_index': 49, 'weight': 2}
  • id: 45355558
    {'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 130, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.130.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
  • id: 45355559
    {'conductor': 165, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224449, 'target_is_minimal': False, 'target_label': '1089.2.a.s.1.1', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.29', 'twisting_conrey_index': 29, 'weight': 2}
  • id: 45355560
    {'conductor': 165, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001473, 'target_is_minimal': False, 'target_label': '1089.2.a.m.1.2', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.59', 'twisting_conrey_index': 59, 'weight': 2}
  • id: 45355561
    {'conductor': 165, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.82.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.104', 'twisting_conrey_index': 104, 'weight': 2}
  • id: 45355562
    {'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246268592, 'target_is_minimal': False, 'target_label': '5808.2.a.bl.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.59', 'twisting_conrey_index': 59, 'weight': 2}
  • id: 45355563
    {'conductor': 220, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873639088, 'target_is_minimal': False, 'target_label': '5808.2.a.bm.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.139', 'twisting_conrey_index': 139, 'weight': 2}
  • id: 45355564
    {'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.49.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.159', 'twisting_conrey_index': 159, 'weight': 2}
  • id: 45355565
    {'conductor': 495, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.49', 'twisting_conrey_index': 49, 'weight': 2}
  • id: 45355566
    {'conductor': 495, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.104', 'twisting_conrey_index': 104, 'weight': 2}
  • id: 45355567
    {'conductor': 495, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.214', 'twisting_conrey_index': 214, 'weight': 2}
  • id: 45355568
    {'conductor': 495, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 526, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 22518891523605305, 'source_is_minimal': False, 'source_label': '825.2.n.f.526.1', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.434', 'twisting_conrey_index': 434, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1376425
    {'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 2}
  • id: 1376426
    {'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 3}
  • id: 1376427
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518891523605305, 'p': 5}
  • id: 1376428
    {'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 7}
  • id: 1376429
    {'charpoly_factorization': [[[121, -99, 41, -9, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 11}
  • id: 1376430
    {'charpoly_factorization': [[[121, 11, 31, -9, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 13}
  • id: 1376431
    {'charpoly_factorization': [[[1, 3, 4, 2, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 17}
  • id: 1376432
    {'charpoly_factorization': [[[25, 25, 40, 10, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 19}
  • id: 1376433
    {'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 22518891523605305, 'p': 23}
  • id: 1376434
    {'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 29}
  • id: 1376435
    {'charpoly_factorization': [[[121, -77, 34, -8, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 31}
  • id: 1376436
    {'charpoly_factorization': [[[1, -7, 19, -3, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 37}
  • id: 1376437
    {'charpoly_factorization': [[[5041, -1207, 249, -23, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 41}
  • id: 1376438
    {'charpoly_factorization': [[[11, 8, 1], 2]], 'hecke_orbit_code': 22518891523605305, 'p': 43}
  • id: 1376439
    {'charpoly_factorization': [[[1, -2, 4, -3, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 47}
  • id: 1376440
    {'charpoly_factorization': [[[5041, 781, 76, 6, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 53}
  • id: 1376441
    {'charpoly_factorization': [[[3025, 825, 190, 20, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 59}
  • id: 1376442
    {'charpoly_factorization': [[[81, 108, 54, -3, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 61}
  • id: 1376443
    {'charpoly_factorization': [[[-101, 1, 1], 2]], 'hecke_orbit_code': 22518891523605305, 'p': 67}
  • id: 1376444
    {'charpoly_factorization': [[[6561, 1458, 324, 27, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 71}
  • id: 1376445
    {'charpoly_factorization': [[[16, 16, 16, 6, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 73}
  • id: 1376446
    {'charpoly_factorization': [[[25, 75, 85, -5, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 79}
  • id: 1376447
    {'charpoly_factorization': [[[81, 81, 171, 21, 1], 1]], 'hecke_orbit_code': 22518891523605305, 'p': 83}
  • id: 1376448
    {'charpoly_factorization': [[[5, -10, 1], 2]], 'hecke_orbit_code': 22518891523605305, 'p': 89}
  • id: 1376449
    {'charpoly_factorization': [[[44521, -6752, 634, -33, 1], 1]], 'hecke_orbit_code': 22518891523605305, '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': 14, 'hecke_orbit': 6, 'label': '825.2.n.f', 'level': 825, 'portrait': 'data:image/png;base64,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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 44770459
    {'hecke_orbit_code': 22518891523605305, 'n': 1, 'trace_an': 4}
  • id: 44770460
    {'hecke_orbit_code': 22518891523605305, 'n': 2, 'trace_an': 3}
  • id: 44770461
    {'hecke_orbit_code': 22518891523605305, 'n': 3, 'trace_an': 1}
  • id: 44770462
    {'hecke_orbit_code': 22518891523605305, 'n': 4, 'trace_an': 3}
  • id: 44770463
    {'hecke_orbit_code': 22518891523605305, 'n': 5, 'trace_an': 0}
  • id: 44770464
    {'hecke_orbit_code': 22518891523605305, 'n': 6, 'trace_an': -3}
  • id: 44770465
    {'hecke_orbit_code': 22518891523605305, 'n': 7, 'trace_an': 3}
  • id: 44770466
    {'hecke_orbit_code': 22518891523605305, 'n': 8, 'trace_an': 5}
  • id: 44770467
    {'hecke_orbit_code': 22518891523605305, 'n': 9, 'trace_an': -1}
  • id: 44770468
    {'hecke_orbit_code': 22518891523605305, 'n': 10, 'trace_an': 0}
  • id: 44770469
    {'hecke_orbit_code': 22518891523605305, 'n': 11, 'trace_an': 9}
  • id: 44770470
    {'hecke_orbit_code': 22518891523605305, 'n': 12, 'trace_an': 2}
  • id: 44770471
    {'hecke_orbit_code': 22518891523605305, 'n': 13, 'trace_an': 9}
  • id: 44770472
    {'hecke_orbit_code': 22518891523605305, 'n': 14, 'trace_an': 6}
  • id: 44770473
    {'hecke_orbit_code': 22518891523605305, 'n': 15, 'trace_an': 0}
  • id: 44770474
    {'hecke_orbit_code': 22518891523605305, 'n': 16, 'trace_an': 9}
  • id: 44770475
    {'hecke_orbit_code': 22518891523605305, 'n': 17, 'trace_an': -2}
  • id: 44770476
    {'hecke_orbit_code': 22518891523605305, 'n': 18, 'trace_an': -2}
  • id: 44770477
    {'hecke_orbit_code': 22518891523605305, 'n': 19, 'trace_an': -10}
  • id: 44770478
    {'hecke_orbit_code': 22518891523605305, 'n': 20, 'trace_an': 0}
  • id: 44770479
    {'hecke_orbit_code': 22518891523605305, 'n': 21, 'trace_an': 12}
  • id: 44770480
    {'hecke_orbit_code': 22518891523605305, 'n': 22, 'trace_an': 8}
  • id: 44770481
    {'hecke_orbit_code': 22518891523605305, 'n': 23, 'trace_an': 4}
  • id: 44770482
    {'hecke_orbit_code': 22518891523605305, 'n': 24, 'trace_an': 5}
  • id: 44770483
    {'hecke_orbit_code': 22518891523605305, 'n': 25, 'trace_an': 0}
  • id: 44770484
    {'hecke_orbit_code': 22518891523605305, 'n': 26, 'trace_an': 8}
  • id: 44770485
    {'hecke_orbit_code': 22518891523605305, 'n': 27, 'trace_an': 1}
  • id: 44770486
    {'hecke_orbit_code': 22518891523605305, 'n': 28, 'trace_an': 6}
  • id: 44770487
    {'hecke_orbit_code': 22518891523605305, 'n': 29, 'trace_an': -10}
  • id: 44770488
    {'hecke_orbit_code': 22518891523605305, 'n': 30, 'trace_an': 0}
  • id: 44770489
    {'hecke_orbit_code': 22518891523605305, 'n': 31, 'trace_an': 8}
  • id: 44770490
    {'hecke_orbit_code': 22518891523605305, 'n': 32, 'trace_an': 18}
  • id: 44770491
    {'hecke_orbit_code': 22518891523605305, 'n': 33, 'trace_an': 1}
  • id: 44770492
    {'hecke_orbit_code': 22518891523605305, 'n': 34, 'trace_an': -4}
  • id: 44770493
    {'hecke_orbit_code': 22518891523605305, 'n': 35, 'trace_an': 0}
  • id: 44770494
    {'hecke_orbit_code': 22518891523605305, 'n': 36, 'trace_an': 3}
  • id: 44770495
    {'hecke_orbit_code': 22518891523605305, 'n': 37, 'trace_an': 3}
  • id: 44770496
    {'hecke_orbit_code': 22518891523605305, 'n': 38, 'trace_an': 0}
  • id: 44770497
    {'hecke_orbit_code': 22518891523605305, 'n': 39, 'trace_an': -9}
  • id: 44770498
    {'hecke_orbit_code': 22518891523605305, 'n': 40, 'trace_an': 0}
  • id: 44770499
    {'hecke_orbit_code': 22518891523605305, 'n': 41, 'trace_an': 23}
  • id: 44770500
    {'hecke_orbit_code': 22518891523605305, 'n': 42, 'trace_an': 9}
  • id: 44770501
    {'hecke_orbit_code': 22518891523605305, 'n': 43, 'trace_an': -16}
  • id: 44770502
    {'hecke_orbit_code': 22518891523605305, 'n': 44, 'trace_an': -2}
  • id: 44770503
    {'hecke_orbit_code': 22518891523605305, 'n': 45, 'trace_an': 0}
  • id: 44770504
    {'hecke_orbit_code': 22518891523605305, 'n': 46, 'trace_an': 13}
  • id: 44770505
    {'hecke_orbit_code': 22518891523605305, 'n': 47, 'trace_an': 3}
  • id: 44770506
    {'hecke_orbit_code': 22518891523605305, 'n': 48, 'trace_an': 6}
  • id: 44770507
    {'hecke_orbit_code': 22518891523605305, 'n': 49, 'trace_an': -2}
  • id: 44770508
    {'hecke_orbit_code': 22518891523605305, 'n': 50, 'trace_an': 0}
  • id: 44770509
    {'hecke_orbit_code': 22518891523605305, 'n': 51, 'trace_an': -3}
  • id: 44770510
    {'hecke_orbit_code': 22518891523605305, 'n': 52, 'trace_an': -7}
  • id: 44770511
    {'hecke_orbit_code': 22518891523605305, 'n': 53, 'trace_an': -6}
  • id: 44770512
    {'hecke_orbit_code': 22518891523605305, 'n': 54, 'trace_an': 2}
  • id: 44770513
    {'hecke_orbit_code': 22518891523605305, 'n': 55, 'trace_an': 0}
  • id: 44770514
    {'hecke_orbit_code': 22518891523605305, 'n': 56, 'trace_an': 0}
  • id: 44770515
    {'hecke_orbit_code': 22518891523605305, 'n': 57, 'trace_an': -5}
  • id: 44770516
    {'hecke_orbit_code': 22518891523605305, 'n': 58, 'trace_an': 0}
  • id: 44770517
    {'hecke_orbit_code': 22518891523605305, 'n': 59, 'trace_an': -20}
  • id: 44770518
    {'hecke_orbit_code': 22518891523605305, 'n': 60, 'trace_an': 0}
  • id: 44770519
    {'hecke_orbit_code': 22518891523605305, 'n': 61, 'trace_an': 3}
  • id: 44770520
    {'hecke_orbit_code': 22518891523605305, 'n': 62, 'trace_an': 1}
  • id: 44770521
    {'hecke_orbit_code': 22518891523605305, 'n': 63, 'trace_an': 3}
  • id: 44770522
    {'hecke_orbit_code': 22518891523605305, 'n': 64, 'trace_an': -7}
  • id: 44770523
    {'hecke_orbit_code': 22518891523605305, 'n': 65, 'trace_an': 0}
  • id: 44770524
    {'hecke_orbit_code': 22518891523605305, 'n': 66, 'trace_an': -8}
  • id: 44770525
    {'hecke_orbit_code': 22518891523605305, 'n': 67, 'trace_an': -2}
  • id: 44770526
    {'hecke_orbit_code': 22518891523605305, 'n': 68, 'trace_an': 1}
  • id: 44770527
    {'hecke_orbit_code': 22518891523605305, 'n': 69, 'trace_an': -9}
  • id: 44770528
    {'hecke_orbit_code': 22518891523605305, 'n': 70, 'trace_an': 0}
  • id: 44770529
    {'hecke_orbit_code': 22518891523605305, 'n': 71, 'trace_an': -27}
  • id: 44770530
    {'hecke_orbit_code': 22518891523605305, 'n': 72, 'trace_an': -5}
  • id: 44770531
    {'hecke_orbit_code': 22518891523605305, 'n': 73, 'trace_an': -6}
  • id: 44770532
    {'hecke_orbit_code': 22518891523605305, 'n': 74, 'trace_an': -4}
  • id: 44770533
    {'hecke_orbit_code': 22518891523605305, 'n': 75, 'trace_an': 0}
  • id: 44770534
    {'hecke_orbit_code': 22518891523605305, 'n': 76, 'trace_an': -20}
  • id: 44770535
    {'hecke_orbit_code': 22518891523605305, 'n': 77, 'trace_an': 3}
  • id: 44770536
    {'hecke_orbit_code': 22518891523605305, 'n': 78, 'trace_an': -18}
  • id: 44770537
    {'hecke_orbit_code': 22518891523605305, 'n': 79, 'trace_an': 5}
  • id: 44770538
    {'hecke_orbit_code': 22518891523605305, 'n': 80, 'trace_an': 0}
  • id: 44770539
    {'hecke_orbit_code': 22518891523605305, 'n': 81, 'trace_an': -1}
  • id: 44770540
    {'hecke_orbit_code': 22518891523605305, 'n': 82, 'trace_an': 11}
  • id: 44770541
    {'hecke_orbit_code': 22518891523605305, 'n': 83, 'trace_an': -21}
  • id: 44770542
    {'hecke_orbit_code': 22518891523605305, 'n': 84, 'trace_an': 9}
  • id: 44770543
    {'hecke_orbit_code': 22518891523605305, 'n': 85, 'trace_an': 0}
  • id: 44770544
    {'hecke_orbit_code': 22518891523605305, 'n': 86, 'trace_an': -7}
  • id: 44770545
    {'hecke_orbit_code': 22518891523605305, 'n': 87, 'trace_an': 0}
  • id: 44770546
    {'hecke_orbit_code': 22518891523605305, 'n': 88, 'trace_an': 25}
  • id: 44770547
    {'hecke_orbit_code': 22518891523605305, 'n': 89, 'trace_an': 20}
  • id: 44770548
    {'hecke_orbit_code': 22518891523605305, 'n': 90, 'trace_an': 0}
  • id: 44770549
    {'hecke_orbit_code': 22518891523605305, 'n': 91, 'trace_an': 3}
  • id: 44770550
    {'hecke_orbit_code': 22518891523605305, 'n': 92, 'trace_an': -7}
  • id: 44770551
    {'hecke_orbit_code': 22518891523605305, 'n': 93, 'trace_an': -8}
  • id: 44770552
    {'hecke_orbit_code': 22518891523605305, 'n': 94, 'trace_an': 1}
  • id: 44770553
    {'hecke_orbit_code': 22518891523605305, 'n': 95, 'trace_an': 0}
  • id: 44770554
    {'hecke_orbit_code': 22518891523605305, 'n': 96, 'trace_an': 7}
  • id: 44770555
    {'hecke_orbit_code': 22518891523605305, 'n': 97, 'trace_an': 33}
  • id: 44770556
    {'hecke_orbit_code': 22518891523605305, 'n': 98, 'trace_an': -4}
  • id: 44770557
    {'hecke_orbit_code': 22518891523605305, 'n': 99, 'trace_an': 4}
  • id: 44770558
    {'hecke_orbit_code': 22518891523605305, 'n': 100, 'trace_an': 0}
  • id: 44770559
    {'hecke_orbit_code': 22518891523605305, 'n': 101, 'trace_an': 3}
  • id: 44770560
    {'hecke_orbit_code': 22518891523605305, 'n': 103, 'trace_an': -6}
  • id: 44770561
    {'hecke_orbit_code': 22518891523605305, 'n': 107, 'trace_an': -7}
  • id: 44770562
    {'hecke_orbit_code': 22518891523605305, 'n': 109, 'trace_an': 0}
  • id: 44770563
    {'hecke_orbit_code': 22518891523605305, 'n': 113, 'trace_an': 9}
  • id: 44770564
    {'hecke_orbit_code': 22518891523605305, 'n': 121, 'trace_an': -1}
  • id: 44770565
    {'hecke_orbit_code': 22518891523605305, 'n': 125, 'trace_an': 0}
  • id: 44770566
    {'hecke_orbit_code': 22518891523605305, 'n': 127, 'trace_an': 18}
  • id: 44770567
    {'hecke_orbit_code': 22518891523605305, 'n': 128, 'trace_an': 10}
  • id: 44770568
    {'hecke_orbit_code': 22518891523605305, 'n': 131, 'trace_an': -42}
  • id: 44770569
    {'hecke_orbit_code': 22518891523605305, 'n': 137, 'trace_an': -7}
  • id: 44770570
    {'hecke_orbit_code': 22518891523605305, 'n': 139, 'trace_an': 5}
  • id: 44770571
    {'hecke_orbit_code': 22518891523605305, 'n': 149, 'trace_an': -15}
  • id: 44770572
    {'hecke_orbit_code': 22518891523605305, 'n': 151, 'trace_an': -2}
  • id: 44770573
    {'hecke_orbit_code': 22518891523605305, 'n': 157, 'trace_an': -12}
  • id: 44770574
    {'hecke_orbit_code': 22518891523605305, 'n': 163, 'trace_an': -36}
  • id: 44770575
    {'hecke_orbit_code': 22518891523605305, 'n': 167, 'trace_an': -37}
  • id: 44770576
    {'hecke_orbit_code': 22518891523605305, 'n': 169, 'trace_an': 32}
  • id: 44770577
    {'hecke_orbit_code': 22518891523605305, 'n': 173, 'trace_an': 14}
  • id: 44770578
    {'hecke_orbit_code': 22518891523605305, 'n': 179, 'trace_an': 5}
  • id: 44770579
    {'hecke_orbit_code': 22518891523605305, 'n': 181, 'trace_an': 3}
  • id: 44770580
    {'hecke_orbit_code': 22518891523605305, 'n': 191, 'trace_an': 13}
  • id: 44770581
    {'hecke_orbit_code': 22518891523605305, 'n': 193, 'trace_an': 14}
  • id: 44770582
    {'hecke_orbit_code': 22518891523605305, 'n': 197, 'trace_an': -102}
  • id: 44770583
    {'hecke_orbit_code': 22518891523605305, 'n': 199, 'trace_an': -40}
  • id: 44770584
    {'hecke_orbit_code': 22518891523605305, 'n': 211, 'trace_an': -32}
  • id: 44770585
    {'hecke_orbit_code': 22518891523605305, 'n': 223, 'trace_an': 9}
  • id: 44770586
    {'hecke_orbit_code': 22518891523605305, 'n': 227, 'trace_an': -47}
  • id: 44770587
    {'hecke_orbit_code': 22518891523605305, 'n': 229, 'trace_an': -10}
  • id: 44770588
    {'hecke_orbit_code': 22518891523605305, 'n': 233, 'trace_an': -1}
  • id: 44770589
    {'hecke_orbit_code': 22518891523605305, 'n': 239, 'trace_an': -15}
  • id: 44770590
    {'hecke_orbit_code': 22518891523605305, 'n': 241, 'trace_an': -12}
  • id: 44770591
    {'hecke_orbit_code': 22518891523605305, 'n': 243, 'trace_an': -4}
  • id: 44770592
    {'hecke_orbit_code': 22518891523605305, 'n': 251, 'trace_an': -32}
  • id: 44770593
    {'hecke_orbit_code': 22518891523605305, 'n': 256, 'trace_an': 19}
  • id: 44770594
    {'hecke_orbit_code': 22518891523605305, 'n': 257, 'trace_an': -2}
  • id: 44770595
    {'hecke_orbit_code': 22518891523605305, 'n': 263, 'trace_an': 34}
  • id: 44770596
    {'hecke_orbit_code': 22518891523605305, 'n': 269, 'trace_an': -30}
  • id: 44770597
    {'hecke_orbit_code': 22518891523605305, 'n': 271, 'trace_an': 48}
  • id: 44770598
    {'hecke_orbit_code': 22518891523605305, 'n': 277, 'trace_an': -2}
  • id: 44770599
    {'hecke_orbit_code': 22518891523605305, 'n': 281, 'trace_an': 8}
  • id: 44770600
    {'hecke_orbit_code': 22518891523605305, 'n': 283, 'trace_an': 14}
  • id: 44770601
    {'hecke_orbit_code': 22518891523605305, 'n': 289, 'trace_an': 13}
  • id: 44770602
    {'hecke_orbit_code': 22518891523605305, 'n': 293, 'trace_an': -11}
  • id: 44770603
    {'hecke_orbit_code': 22518891523605305, 'n': 307, 'trace_an': 38}
  • id: 44770604
    {'hecke_orbit_code': 22518891523605305, 'n': 311, 'trace_an': 3}
  • id: 44770605
    {'hecke_orbit_code': 22518891523605305, 'n': 313, 'trace_an': -61}
  • id: 44770606
    {'hecke_orbit_code': 22518891523605305, 'n': 317, 'trace_an': 53}
  • id: 44770607
    {'hecke_orbit_code': 22518891523605305, 'n': 331, 'trace_an': 8}
  • id: 44770608
    {'hecke_orbit_code': 22518891523605305, 'n': 337, 'trace_an': 8}
  • id: 44770609
    {'hecke_orbit_code': 22518891523605305, 'n': 343, 'trace_an': -15}
  • id: 44770610
    {'hecke_orbit_code': 22518891523605305, 'n': 347, 'trace_an': 8}
  • id: 44770611
    {'hecke_orbit_code': 22518891523605305, 'n': 349, 'trace_an': 35}
  • id: 44770612
    {'hecke_orbit_code': 22518891523605305, 'n': 353, 'trace_an': 24}
  • id: 44770613
    {'hecke_orbit_code': 22518891523605305, 'n': 359, 'trace_an': 10}
  • id: 44770614
    {'hecke_orbit_code': 22518891523605305, 'n': 361, 'trace_an': 39}
  • id: 44770615
    {'hecke_orbit_code': 22518891523605305, 'n': 367, 'trace_an': 18}
  • id: 44770616
    {'hecke_orbit_code': 22518891523605305, 'n': 373, 'trace_an': -36}
  • id: 44770617
    {'hecke_orbit_code': 22518891523605305, 'n': 379, 'trace_an': -45}
  • id: 44770618
    {'hecke_orbit_code': 22518891523605305, 'n': 383, 'trace_an': -31}
  • id: 44770619
    {'hecke_orbit_code': 22518891523605305, 'n': 389, 'trace_an': -45}
  • id: 44770620
    {'hecke_orbit_code': 22518891523605305, 'n': 397, 'trace_an': 128}
  • id: 44770621
    {'hecke_orbit_code': 22518891523605305, 'n': 401, 'trace_an': 8}
  • id: 44770622
    {'hecke_orbit_code': 22518891523605305, 'n': 409, 'trace_an': 40}
  • id: 44770623
    {'hecke_orbit_code': 22518891523605305, 'n': 419, 'trace_an': -10}
  • id: 44770624
    {'hecke_orbit_code': 22518891523605305, 'n': 421, 'trace_an': 58}
  • id: 44770625
    {'hecke_orbit_code': 22518891523605305, 'n': 431, 'trace_an': -22}
  • id: 44770626
    {'hecke_orbit_code': 22518891523605305, 'n': 433, 'trace_an': -6}
  • id: 44770627
    {'hecke_orbit_code': 22518891523605305, 'n': 439, 'trace_an': 40}
  • id: 44770628
    {'hecke_orbit_code': 22518891523605305, 'n': 443, 'trace_an': -66}
  • id: 44770629
    {'hecke_orbit_code': 22518891523605305, 'n': 449, 'trace_an': 10}
  • id: 44770630
    {'hecke_orbit_code': 22518891523605305, 'n': 457, 'trace_an': 48}
  • id: 44770631
    {'hecke_orbit_code': 22518891523605305, 'n': 461, 'trace_an': -62}
  • id: 44770632
    {'hecke_orbit_code': 22518891523605305, 'n': 463, 'trace_an': 14}
  • id: 44770633
    {'hecke_orbit_code': 22518891523605305, 'n': 467, 'trace_an': -17}
  • id: 44770634
    {'hecke_orbit_code': 22518891523605305, 'n': 479, 'trace_an': 10}
  • id: 44770635
    {'hecke_orbit_code': 22518891523605305, 'n': 487, 'trace_an': 3}
  • id: 44770636
    {'hecke_orbit_code': 22518891523605305, 'n': 491, 'trace_an': -57}
  • id: 44770637
    {'hecke_orbit_code': 22518891523605305, 'n': 499, 'trace_an': 30}
  • id: 44770638
    {'hecke_orbit_code': 22518891523605305, 'n': 503, 'trace_an': 64}
  • id: 44770639
    {'hecke_orbit_code': 22518891523605305, 'n': 509, 'trace_an': -25}
  • id: 44770640
    {'hecke_orbit_code': 22518891523605305, 'n': 512, 'trace_an': 3}
  • id: 44770641
    {'hecke_orbit_code': 22518891523605305, 'n': 521, 'trace_an': 48}
  • id: 44770642
    {'hecke_orbit_code': 22518891523605305, 'n': 523, 'trace_an': 64}
  • id: 44770643
    {'hecke_orbit_code': 22518891523605305, 'n': 529, 'trace_an': -8}
  • id: 44770644
    {'hecke_orbit_code': 22518891523605305, 'n': 541, 'trace_an': 13}
  • id: 44770645
    {'hecke_orbit_code': 22518891523605305, 'n': 547, 'trace_an': 23}
  • id: 44770646
    {'hecke_orbit_code': 22518891523605305, 'n': 557, 'trace_an': 8}
  • id: 44770647
    {'hecke_orbit_code': 22518891523605305, 'n': 563, 'trace_an': 49}
  • id: 44770648
    {'hecke_orbit_code': 22518891523605305, 'n': 569, 'trace_an': 60}
  • id: 44770649
    {'hecke_orbit_code': 22518891523605305, 'n': 571, 'trace_an': 18}
  • id: 44770650
    {'hecke_orbit_code': 22518891523605305, 'n': 577, 'trace_an': 18}
  • id: 44770651
    {'hecke_orbit_code': 22518891523605305, 'n': 587, 'trace_an': -77}
  • id: 44770652
    {'hecke_orbit_code': 22518891523605305, 'n': 593, 'trace_an': 14}
  • id: 44770653
    {'hecke_orbit_code': 22518891523605305, 'n': 599, 'trace_an': 30}
  • id: 44770654
    {'hecke_orbit_code': 22518891523605305, 'n': 601, 'trace_an': -67}
  • id: 44770655
    {'hecke_orbit_code': 22518891523605305, 'n': 607, 'trace_an': -12}
  • id: 44770656
    {'hecke_orbit_code': 22518891523605305, 'n': 613, 'trace_an': 54}
  • id: 44770657
    {'hecke_orbit_code': 22518891523605305, 'n': 617, 'trace_an': -132}
  • id: 44770658
    {'hecke_orbit_code': 22518891523605305, 'n': 619, 'trace_an': -5}
  • id: 44770659
    {'hecke_orbit_code': 22518891523605305, 'n': 625, 'trace_an': 0}
  • id: 44770660
    {'hecke_orbit_code': 22518891523605305, 'n': 631, 'trace_an': -67}
  • id: 44770661
    {'hecke_orbit_code': 22518891523605305, 'n': 641, 'trace_an': -62}
  • id: 44770662
    {'hecke_orbit_code': 22518891523605305, 'n': 643, 'trace_an': -6}
  • id: 44770663
    {'hecke_orbit_code': 22518891523605305, 'n': 647, 'trace_an': -12}
  • id: 44770664
    {'hecke_orbit_code': 22518891523605305, 'n': 653, 'trace_an': 69}
  • id: 44770665
    {'hecke_orbit_code': 22518891523605305, 'n': 659, 'trace_an': 20}
  • id: 44770666
    {'hecke_orbit_code': 22518891523605305, 'n': 661, 'trace_an': -62}
  • id: 44770667
    {'hecke_orbit_code': 22518891523605305, 'n': 673, 'trace_an': -31}
  • id: 44770668
    {'hecke_orbit_code': 22518891523605305, 'n': 677, 'trace_an': 28}
  • id: 44770669
    {'hecke_orbit_code': 22518891523605305, 'n': 683, 'trace_an': 84}
  • id: 44770670
    {'hecke_orbit_code': 22518891523605305, 'n': 691, 'trace_an': 48}
  • id: 44770671
    {'hecke_orbit_code': 22518891523605305, 'n': 701, 'trace_an': 48}
  • id: 44770672
    {'hecke_orbit_code': 22518891523605305, 'n': 709, 'trace_an': 20}
  • id: 44770673
    {'hecke_orbit_code': 22518891523605305, 'n': 719, 'trace_an': -15}
  • id: 44770674
    {'hecke_orbit_code': 22518891523605305, 'n': 727, 'trace_an': -142}
  • id: 44770675
    {'hecke_orbit_code': 22518891523605305, 'n': 729, 'trace_an': -1}
  • id: 44770676
    {'hecke_orbit_code': 22518891523605305, 'n': 733, 'trace_an': -46}
  • id: 44770677
    {'hecke_orbit_code': 22518891523605305, 'n': 739, 'trace_an': 25}
  • id: 44770678
    {'hecke_orbit_code': 22518891523605305, 'n': 743, 'trace_an': -1}
  • id: 44770679
    {'hecke_orbit_code': 22518891523605305, 'n': 751, 'trace_an': -52}
  • id: 44770680
    {'hecke_orbit_code': 22518891523605305, 'n': 757, 'trace_an': -27}
  • id: 44770681
    {'hecke_orbit_code': 22518891523605305, 'n': 761, 'trace_an': -27}
  • id: 44770682
    {'hecke_orbit_code': 22518891523605305, 'n': 769, 'trace_an': -70}
  • id: 44770683
    {'hecke_orbit_code': 22518891523605305, 'n': 773, 'trace_an': -81}
  • id: 44770684
    {'hecke_orbit_code': 22518891523605305, 'n': 787, 'trace_an': -32}
  • id: 44770685
    {'hecke_orbit_code': 22518891523605305, 'n': 797, 'trace_an': 18}
  • id: 44770686
    {'hecke_orbit_code': 22518891523605305, 'n': 809, 'trace_an': -35}
  • id: 44770687
    {'hecke_orbit_code': 22518891523605305, 'n': 811, 'trace_an': 23}
  • id: 44770688
    {'hecke_orbit_code': 22518891523605305, 'n': 821, 'trace_an': -57}
  • id: 44770689
    {'hecke_orbit_code': 22518891523605305, 'n': 823, 'trace_an': -21}
  • id: 44770690
    {'hecke_orbit_code': 22518891523605305, 'n': 827, 'trace_an': -12}
  • id: 44770691
    {'hecke_orbit_code': 22518891523605305, 'n': 829, 'trace_an': -55}
  • id: 44770692
    {'hecke_orbit_code': 22518891523605305, 'n': 839, 'trace_an': 45}
  • id: 44770693
    {'hecke_orbit_code': 22518891523605305, 'n': 841, 'trace_an': 9}
  • id: 44770694
    {'hecke_orbit_code': 22518891523605305, 'n': 853, 'trace_an': 19}
  • id: 44770695
    {'hecke_orbit_code': 22518891523605305, 'n': 857, 'trace_an': -12}
  • id: 44770696
    {'hecke_orbit_code': 22518891523605305, 'n': 859, 'trace_an': 100}
  • id: 44770697
    {'hecke_orbit_code': 22518891523605305, 'n': 863, 'trace_an': -46}
  • id: 44770698
    {'hecke_orbit_code': 22518891523605305, 'n': 877, 'trace_an': 23}
  • id: 44770699
    {'hecke_orbit_code': 22518891523605305, 'n': 881, 'trace_an': 78}
  • id: 44770700
    {'hecke_orbit_code': 22518891523605305, 'n': 883, 'trace_an': -6}
  • id: 44770701
    {'hecke_orbit_code': 22518891523605305, 'n': 887, 'trace_an': 3}
  • id: 44770702
    {'hecke_orbit_code': 22518891523605305, 'n': 907, 'trace_an': 33}
  • id: 44770703
    {'hecke_orbit_code': 22518891523605305, 'n': 911, 'trace_an': -47}
  • id: 44770704
    {'hecke_orbit_code': 22518891523605305, 'n': 919, 'trace_an': 105}
  • id: 44770705
    {'hecke_orbit_code': 22518891523605305, 'n': 929, 'trace_an': -25}
  • id: 44770706
    {'hecke_orbit_code': 22518891523605305, 'n': 937, 'trace_an': 63}
  • id: 44770707
    {'hecke_orbit_code': 22518891523605305, 'n': 941, 'trace_an': -82}
  • id: 44770708
    {'hecke_orbit_code': 22518891523605305, 'n': 947, 'trace_an': -42}
  • id: 44770709
    {'hecke_orbit_code': 22518891523605305, 'n': 953, 'trace_an': 24}
  • id: 44770710
    {'hecke_orbit_code': 22518891523605305, 'n': 961, 'trace_an': 27}
  • id: 44770711
    {'hecke_orbit_code': 22518891523605305, 'n': 967, 'trace_an': 18}
  • id: 44770712
    {'hecke_orbit_code': 22518891523605305, 'n': 971, 'trace_an': -82}
  • id: 44770713
    {'hecke_orbit_code': 22518891523605305, 'n': 977, 'trace_an': -77}
  • id: 44770714
    {'hecke_orbit_code': 22518891523605305, 'n': 983, 'trace_an': -66}
  • id: 44770715
    {'hecke_orbit_code': 22518891523605305, 'n': 991, 'trace_an': 18}
  • id: 44770716
    {'hecke_orbit_code': 22518891523605305, 'n': 997, 'trace_an': -42}