Embedded newform data - 450.3.k.a.149.4

Formats: - HTML - YAML - JSON - 2026-01-18T08:47:53.868084

• 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': 4050, 'analytic_conductor': 12.26161189621336, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': -1, 'char_values': [450, 6, [101, 127], [5, 3]], 'cm_discs': [], 'conrey_index': 149, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [7890481, 0, -308990, 0, 9291, 0, -110, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687245099458, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 45, 8, -1, 6, 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': '450.3.k.a', 'level': 450, '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': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '18.3.d.a', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 8, 'qexp_display': 'q+(-\\beta_{7}+\\beta_{4})q^{2}+(-\\beta_{7}+2\\beta_{4}+\\cdots-2\\beta_1)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.3.k', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1041364964309033231, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.790', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.361', 'prec': 17}, {'__RealLiteral__': 0, 'data': '460.602', 'prec': 24}, {'__RealLiteral__': 0, 'data': '665.443', 'prec': 24}, {'__RealLiteral__': 0, 'data': '40888.412', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.593', 'prec': 17}, 'traces': [8, 0, 0, -8, 0, -24, 0, 0, -24, 0, 36, 0, 0, -72, 0, -16, 0, 0, 80, 0, -84, 0, 0, 0, 0, 0, 0, 0, -36, 0, 76, 0, 0, -48, 0, 24, 0, 0, 204, 0, -252, 0, 0, 0, 0, -48, 0, 0, 24, 0, -144, 0, 0, -72, 0, 144, 0, 0, -252, 0, 124, 0, 0, 64, 0, -144, 0, 0, -36, 0, 0, 0, 0, -144, 0, -80, 0, 0, -28, 0, -504, 0, 0, 288, 0, -216, 0, 0, 0, 0, 824, 0, 0, -168, 0, 96, 0, 0, -252, 0, -36, 0, 0, 288, 0, 240, 0, 0, 128, 0, -288, 0, 0, -96, 0, 0, 0, 0, 504, 0, -304, 0, 0, 152, 0, 264, 0, 0, -492, 0, 828, 0, 0, 0, 0, 192, 0, 0, 44, 0, -396, 0, 0, 48, 0, 432, 0, 0, -36, 0, 700, 0, 0, -384, 0, 168, 0, 0, 720, 0, 0, 0, 0, 504, 0, -120, 0, 0, 288, 0, -240, 0, 0, -72, 0, -144, 0, 0, 0, 0, 1120, 0, 0, 48, 0, -432, 0, 0, -36, 0, -36, 0, 0, -1008, 0, 48, 0, 0, -640, 0, -420, 0, 0, 432, 0, 0, 0, 0, -72, 0, 412, 0, 0, -384, 0, 0, 0, 0, 864, 0, 504, 0, 0, 0, 0, -2112, 0, 0, 572, 0, -396, 0, 0, -480, 0, 504, 0, 0, 108, 0, -572, 0, 0, -496, 0, 1008, 0, 0, 396, 0, 0, 0, 0, 432, 0, -64, 0, 0, -560, 0, -180, 0, 0, 0, 0, -864, 0, 0, 0, 0, -272, 0, 0, 240, 0, 216, 0, 0, -1524, 0, -1260, 0, 0, 720, 0, -552, 0, 0, -872, 0, -1092, 0, 0, 288, 0, 0, 0, 0, 612, 0, 740, 0, 0, -160, 0, 1008, 0, 0, 204, 0, -1116, 0, 0, 0, 0, 112, 0, 0, 36, 0, 1440, 0, 0, 504, 0, 1872, 0, 0, -1620, 0, -980, 0, 0, 1392, 0, -240, 0, 0, -3060, 0, 0, 0, 0, 432, 0, -480, 0, 0, 428, 0, -468, 0, 0, 1008, 0, -720, 0, 0, 0, 0, -360, 0, 0, -824, 0, -312, 0, 0, -108, 0, -2520, 0, 0, 0, 0, -336, 0, 0, 2624, 0, 864, 0, 0, -192, 0, 0, 0, 0, 468, 0, -72, 0, 0, 672, 0, 576, 0, 0, -2280, 0, 2340, 0, 0, 0, 0, 528, 0, 0, -1540, 0, 2052, 0, 0, 144, 0, -576, 0, 0, 1836, 0, -1076, 0, 0, -960, 0, 144, 0, 0, 1224, 0, 0, 0, 0, -1152, 0, -128, 0, 0, -556, 0, 792, 0, 0, -480, 0, -1080, 0, 0, 0, 0, -2376, 0, 0, 696, 0, -576, 0, 0, 2160, 0, -828, 0, 0, 144, 0, 384, 0, 0, 1720, 0, 2172, 0, 0, 528, 0, 0, 0, 0, -3348, 0, 224, 0, 0, -608, 0, 2376, 0, 0, 3744, 0, 4140, 0, 0, 0, 0, -608, 0, 0, 140, 0, 3276, 0, 0, -336, 0, -432, 0, 0, -2340, 0, 1088, 0, 0, 384, 0, 864, 0, 0, -1548, 0, 0, 0, 0, -1656, 0, 360, 0, 0, 1936, 0, -1116, 0, 0, -2304, 0, 432, 0, 0, 0, 0, -2192, 0, 0, -192, 0, -2688, 0, 0, 2220, 0, -1224, 0, 0, 0, 0, 88, 0, 0, 1672, 0, -216, 0, 0, -432, 0, 0, 0, 0, 36, 0, 28, 0, 0, 1368, 0, -192, 0, 0, -660, 0, -1836, 0, 0, 0, 0, 1536, 0, 0, -536, 0, -576, 0, 0, 864, 0, 72, 0, 0, 5796, 0, 3004, 0, 0, -2800, 0, 2664, 0, 0, 1260, 0, 0, 0, 0, 432, 0, 384, 0, 0, -700, 0, -756, 0, 0, -1152, 0, 288, 0, 0, 0, 0, -464, 0, 0, 1008, 0, -2160, 0, 0, -2304, 0, -1908, 0, 0, 360, 0, -1344, 0, 0, -3384, 0, -2304, 0, 0, 912, 0, 0, 0, 0, 252, 0, -1580, 0, 0, -240, 0, -1104, 0, 0, -3516, 0, 2412, 0, 0, 0, 0, -1152, 0, 0, 3052, 0, 2412, 0, 0, -1488, 0, 2952, 0, 0, -2520, 0, -2828, 0, 0, 2544, 0, 432, 0, 0, 1152, 0, 0, 0, 0, 288, 0, -816, 0, 0, -1396, 0, 2244, 0, 0, 432, 0, -2304, 0, 0, 0, 0, 4184, 0, 0, -1120, 0, -864, 0, 0, 4968, 0, 2952, 0, 0, 1080, 0, 96, 0, 0, -2176, 0, -1272, 0, 0, -480, 0, 0, 0, 0, 2736, 0, 964, 0, 0, 192, 0, 864, 0, 0, -864, 0, -4428, 0, 0, 0, 0, 4752, 0, 0, -628, 0, 900, 0, 0, 1752, 0, 2016, 0, 0, 72, 0, -1656, 0, 0, -192, 0, -3312, 0, 0, -1692, 0, 0, 0, 0, -1296, 0, 640, 0, 0, -1656, 0, -6336, 0, 0, 1704, 0, -3816, 0, 0, 0, 0, 592, 0, 0, 336, 0, -288, 0, 0, -2472, 0, 1044, 0, 0, 1296, 0, 1200, 0, 0, -7840, 0, -588, 0, 0, -1872, 0, 0, 0, 0, 324, 0, -2968, 0, 0, 824, 0, -792, 0, 0, -3684, 0, 720, 0, 0, 0, 0, 1536, 0, 0, 980, 0, -2088, 0, 0, 288, 0, 1296, 0, 0, 828, 0, 236, 0, 0, 384, 0, -2112, 0, 0, 1260, 0, 0, 0, 0, -1008, 0, 3912, 0, 0, 1432, 0, -1404, 0, 0, 144, 0, -576, 0, 0, 0, 0, -7200, 0, 0, 2112, 0, -3120, 0, 0, 5292, 0, 1188, 0, 0, 3024, 0, 1144, 0, 0, -304, 0, 864, 0, 0, 1512, 0, 0, 0, 0, -3348, 0, 1104, 0, 0, -4128, 0, -384, 0, 0, 5052, 0, 1980, 0, 0, 0, 0, -192, 0, 0, -3632, 0, 1044, 0, 0, -5040, 0, -216, 0, 0, 828, 0, 456, 0, 0, 2288, 0, -216, 0, 0, -3168, 0, 0, 0, 0, -1584, 0, 496, 0, 0, -504, 0, -384, 0, 0, -1872, 0, 1296, 0, 0, 0, 0, 5200, 0, 0, -1968, 0, -3024, 0, 0, -864, 0], 'weight': 3, '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], [0.3535533905932738, 0.6123724356957945], [0.5773502691896257, 0.816496580927726], [-0.25, 0.4330127018922193], [0.0, 0.0], [-0.2958758547680685, 0.6422285251880866], [-1.0328552049233382, 0.5963192305963954], [-0.3535533905932738, 0.0], [-0.3333333333333333, 0.9428090415820634], [0.0, 0.0], [0.07506958052956662, -0.04334144252669758], [-0.4978909578906802, 0.04587585476806849], [-0.6459842340335125, -0.37295917141150264], [-0.7303389193851135, -0.4216613717066557], [0.0, 0.0], [-0.125, -0.21650635094610965], [-1.1104462482148139, 0.0], [-0.6952013993873837, 0.12920918810140183], [1.2998388661420563, 0.0], [0.0, 0.0], [-1.0832118435198044, -0.499037675105532], [0.05308220945328618, 0.030647027917034872], [0.020728515991029275, -0.03590284286196665], [-0.2041241452319315, -0.28867513459481287], [0.0, 0.0], [0.0, -0.5274439184215789], [-0.9622504486493763, 0.2721655269759087], [0.0, -0.5963192305963954], [-0.408567904425846, 0.23588678960250348], [0.0, 0.0], [-0.0491194787911065, 0.08507743290749835], [0.08838834764831845, -0.15309310892394862], [0.0787295821622217, 0.0362708623242142], [-0.3926020361279275, -0.6800066737285624], [0.0, 0.0], [-0.3249149571305297, -0.38003982769292227], [0.0, 1.2620794177486234], [0.4595624383494405, 0.7959854924714708], [-0.06843928312837302, -0.7427719964327497], [0.0, 0.0], [-0.23059981255979017, -0.1331368638564721], [-0.07737630339887631, -0.8397655370580998], [-0.9072201716064854, 0.5237838102912629], [0.0, 0.04334144252669758], [0.0, 0.0], [0.02931454844238118, 0.0], [0.4817759795527116, 0.834460474451561], [0.10460791164793366, -0.22706207261596575], [0.21119324955815377, -0.36579743845029566], [0.0, 0.0], [-0.6411164403274328, -0.9066755649714164], [0.32299211701675623, -0.18647958570575132], [1.7809043603445127, 0.0], [-0.5068735753865525, -0.49303060612385197], [0.0, 0.0], [0.36516945969255676, -0.21083068585332784], [0.7504623192702541, 1.061313989961961], [-0.28890113579469295, -0.1667971485202546], [0.2756788132927453, 0.15916323706444307], [0.0, 0.0], [-0.10730176532866562, -0.18585210929108145], [-0.06946543308308041, 0.0], [-0.21793009396776156, -1.172558302712283], [0.125, 0.0], [0.0, 0.0], [0.00562383440717933, 0.061035512344459635], [-0.9700183506360005, -0.5600403558585717], [0.27761156205370346, -0.4808373302455745], [0.04128216272970339, -0.0038037535566481776], [0.0, 0.0], [0.0, -0.2538084328184794], [0.11785113019775792, -0.3333333333333333], [0.0, 0.10834499493017527], [-0.7728626470882547, 0.4462124573430106], [0.0, 0.0], [-0.3249597165355141, 0.5628467394526906], [-0.05169067132091638, 0.08953086900517061], [0.43065615602234164, -0.3045198882831296], [-0.2768502920363777, -0.4795187718972875], [0.0, 0.0], [-0.7777777777777778, -0.6285393610547089], [0.0, -0.18828395851764318], [0.7851349657375645, 1.3598936514563114], [0.486892612923409, -0.34428506830777933], [0.0, 0.0], [-0.6415015353721691, -0.3703710841326801], [-0.42848754679896545, -0.1974049955652272], [-0.02654110472664309, 0.015323513958517436], [0.0, 1.632579992625737], [0.0, 0.0], [0.8896109045599054, 0.0], [0.010364257995514638, 0.017951421430983324], [-0.09782457738557986, 0.00901359230121609], [-0.34066706215451387, 0.5900526601168427], [0.0, 0.0], [0.17603103630798286, -0.01621956399961522], [-0.9810065181030522, 0.5663843773035746], [0.2986723578067867, 0.0], [0.015839510379524285, 0.08522342677994743], [0.0, 0.0], [1.2650737238642735, -0.7303906550177606], [0.32855423286455276, -0.7131602562916438], [-0.8671707690886853, -0.5006612769667272], [0.2283899162123472, 0.13186097960539472], [0.0, 0.0], [0.6296447749221479, 1.09057674088543], [0.3368298828058325, 0.0], [0.12271148196458614, -0.48470804841064385], [1.3602976707366203, 0.0], [0.0, 0.0], [-1.0304835294510064, 0.7286618915758539], [0.25821380123083454, 0.14907980764909884], [-0.7570253671023391, 1.3112063984397324], [-0.38459093558053786, 0.8347935979845675], [0.0, 0.0], [0.0, -0.23588678960250348], [0.5669573569588902, -0.484720052762425], [0.0, 0.2250908084877395], [1.1469301872562634, -0.6621804523541116], [0.0, 0.0], [-0.49624303871940995, 0.8595181559643876], [0.07587380589718704, -0.13141728677754705], [-0.024431069722222486, -0.2651505627042399], [-0.02455973939555325, -0.042538716453749174], [0.0, 0.0], [0.6409924601926347, -0.5480163460466735], [0.0, -0.6148883100007654], [0.04419417382415922, 0.07654655446197431], [-0.9514515005393755, -0.4383354443965317], [0.0, 0.0], [1.5473613326925093, 0.8933694819636383], [-0.03538813963552412, 0.025023193509855542], [-1.342545338456473, 0.7751189125571218], [0.0, -0.7920166667314464], [0.0, 0.0], [0.3926020361279275, 0.0], [0.5468293166750092, 0.9471361595492871], [0.0169247624343811, 0.023935228574644432], [-0.30406510780051776, 0.5266562155194046], [0.0, 0.0], [-0.403180632825174, 0.8751444196306067], [0.15542528820518467, -0.08973483198413854], [-0.06465835397014556, 0.0], [0.24579081189859817, -0.0456823465490547], [0.0, 0.0], [-0.06634748844083993, 0.03830574031137452], [0.4206048372902186, -0.03875468337890523], [-0.5464964186818905, -0.31551985443715586], [-0.6713429528090198, -0.3876000345228458], [0.0, 0.0], [0.21448000521442712, 0.3714902662390255], [-0.4595624383494405, 0.0], [0.3701487494049379, -1.0469387630078066], [-0.07310164843020993, 0.0], [0.0, 0.0], [0.33873952984731615, 0.15605792020520406], [0.11483590219335466, 0.06630053904396684], [0.19576271887239868, -0.3390709753148172], [1.0282056118458827, 1.4541023211805735], [0.0, 0.0], [0.0, 0.04944325082870262], [0.10991420899831536, -0.6985118944300625], [0.0, -0.8163202450128092], [0.11529990627989509, -0.06656843192823605], [0.0, 0.0], [-0.5551742584196995, 0.961590022637293], [0.8817652990292758, -1.5272622982698698], [0.3829732200072175, 0.1764364620673454], [-0.2218029129200908, -0.3841739144443726], [0.0, 0.0], [-0.4332796220473521, 1.225499835598508], [0.0, -0.5237838102912629], [0.20018600137071044, 0.34673232533812337], [-0.030607847044972603, -0.33218716820073446], [0.0, 0.0], [-0.018767395132391656, -0.010835360631674396], [0.029206998191936187, 0.31698374625198794], [-0.9997469865524449, 0.5772041918075712], [0.0, 0.26526781166073876], [0.0, 0.0], [1.3418705480491353, 0.0], [0.3145249516159038, 0.5447731964468883], [0.08979690869734691, -0.19491328984703032], [-0.007328637110595295, 0.012693571825785824], [0.0, 0.0], [-0.040105886489890406, -0.056718288604998904], [-0.08336073405411709, 0.0481283422459893], [-0.4817759795527116, 0.0], [0.8315678466861892, -0.8549160283174027], [0.0, 0.0], [0.03415028189803299, -0.01971667444673095], [0.07216878364870322, 0.10206207261596575], [1.550114022763848, 0.8949587483173214], [-0.6936763613388718, -0.40049423394947775], [0.0, 0.0], [0.10559662477907689, 0.18289871922514783], [0.39200365409993365, 0.0], [-0.04658836483556045, 0.03983071104736612], [-0.7712798607210821, 0.0], [0.0, 0.0], [-0.10276932011850091, -1.1153561169434467], [0.8945422088453456, 0.5164641850783427], [0.28132765776723734, -0.4872737968272041], [0.5528811462097857, -0.050942670810849335], [0.0, 0.0], [0.0, -0.7080419680413781], [0.026940019538419107, 0.031510646582243], [0.0, 0.18647958570575132], [0.09757835843731166, -0.05633689151086368], [0.0, 0.0], [0.12218179005107407, -0.21162506812817386], [-0.4452260900861282, 0.771154208884412], [0.2072337176069129, -0.14653636701034614], [0.11908734711913711, 0.20626533574893666], [0.0, 0.0], [0.34020690871988585, -0.09622504486493763], [0.0, -0.11716355920003434], [0.4809378537050648, 0.8330087979003001], [-0.08846331792111992, 0.06255301198828532], [0.0, 0.0], [0.7173307690884342, 0.41415111263120874], [-0.8105434031309375, -0.37341882651156016], [-1.2164240916072868, 0.7023027767382131], [0.0, 0.21083068585332784], [0.0, 0.0], [-1.070595541216599, 0.0], [-0.16799825577554975, -0.29098151458620375], [-0.647178018167004, 0.059631219045023796], [-0.2653818607436315, 0.4596548662151383], [0.0, 0.0], [-0.10294527143193347, 0.009485414921529291], [0.14445056789734648, -0.0833985742601273], [0.6481574667691616, 0.0], [0.49727889521533686, 0.17581463947385964], [0.0, 0.0], [-0.13783940664637265, 0.07958161853222154], [0.23168584711236823, -0.5028976089129225], [0.8110021129564606, 0.46823228822876783], [0.3178325876191257, 0.18350073001913753], [0.0, 0.0], [-0.4186467921717765, -0.7251175144672455], [-0.7017936355902265, 0.0], [0.06415002990995841, -0.9979402655783318], [0.10730176532866562, 0.0], [0.0, 0.0], [0.15373320837319346, -0.10870579413424962], [-0.8396754143117655, -0.48478682648480836], [0.017366358270770103, -0.030079414867417806], [-0.6570506330206285, 1.426194980829093], [0.0, 0.0], [0.0, -0.20966559053590045], [0.5622151622755409, 0.1987730768654651], [0.0, -0.0035936151379557086], [0.3765406520760395, -0.2173958468369386], [0.0, 0.0], [-0.03125, 0.05412658773652741], [0.1570165317146186, -0.2719606105579694], [-0.06796436026385164, -0.7376176554153192], [-0.7526022273434058, -1.3035452956482816], [0.0, 0.0], [-0.08620689655172414, -0.4638304442604251], [0.0, 1.2634152376032033], [-0.8816413438311785, -1.5270476015689032], [-0.027835110713445205, -0.01282368635446776], [0.0, 0.0], [-0.9493229128729606, -0.5480918392950834], [-1.3329959820699264, 0.9425704982160665], [0.48500917531800025, -0.28002017792928585], [0.0, -0.16162172064248234], [0.0, 0.0], [-1.2643384043936547, 0.0], [0.13880578102685173, 0.24041866512278726], [0.5136170952216879, 0.7263642619291845], [-0.38666671797250507, 0.6697264011242847], [0.0, 0.0], [-0.008673467077529482, 0.01882663921270519], [-0.15319582955031585, 0.08844765342960288], [-0.43001299929592945, 0.0], [-0.06383861338274532, -0.07466943302455306], [0.0, 0.0], [-0.0636266358055475, 0.036734855309963135], [-0.6784601995916592, 0.06251357067066016], [0.16343909639430193, 0.09436160629935941], [0.1099022752577596, 0.06345210820461986], [0.0, 0.0], [-0.02286018027632503, -0.039594993708778885], [0.3175682888756339, 0.0], [0.11487478474796696, 0.1343643696413162], [0.23309087017435579, 0.0], [0.0, 0.0], [-1.0288352848628224, -0.47398629519793806], [-0.046914758991213994, -0.027086248732543818], [-0.02546743732197133, 0.04411089538023021], [0.17243856617924852, 0.24386495896686378], [0.0, 0.0], [0.0, -0.4462124573430106], [-0.06043969099932126, 0.062136674461115815], [0.0, -0.5481492255984883], [-0.026780589050232926, 0.015461780297208723], [0.0, 0.0], [0.6246847175034682, -1.0819856694278183], [-0.15166026611604747, 0.2626832864024109], [1.3267521275813243, 0.6112371288685944], [-0.16247985826775704, -0.2814233697263453], [0.0, 0.0], [0.7719837857034085, -0.1434798581620838], [0.0, 0.21468789781727293], [-0.02584533566045819, -0.044765434502585306], [-0.09187305612048517, -0.9970988910709399], [0.0, 0.0], [-0.6966524980632479, -0.40221250728844143], [0.02419694059980932, 0.2626095577765337], [1.1797697425723255, -0.6811403784559076], [0.0, 0.09376312150862483], [0.0, 0.0], [0.2768502920363777, 0.0], [-0.7318285364477519, -1.2675642075562783], [-0.526926599877113, 1.1437475808450892], [-0.020447347468728217, 0.03541584469585215], [0.0, 0.0], [0.19446882350905748, 0.27502044766524886], [-0.030277683938690736, 0.017480828972441503], [-1.443401192191244, 0.0], [0.4666099714203531, -0.17965281676360448], [0.0, 0.0], [0.4998920167462817, -0.2886127904342107], [0.7853682263778087, 1.1106783972004002], [0.08152934560068721, 0.047070989629410795], [-0.9952096561761158, -0.5745845628933953], [0.0, 0.0], [-0.7142032418109299, -1.2370363017469312], [-0.7851349657375645, 0.0], [-1.1898998862480283, -0.42069313924954116], [1.2470044447171695, 0.0], [0.0, 0.0], [0.027356654418246577, 0.29690195293027266], [-0.7853491577005082, -0.4534215476062342], [0.1568383438127255, -0.2716519800585964], [-1.5076643406965098, 0.1389167431877226], [0.0, 0.0], [0.0, 0.008515636267864331], [-0.9036497987200676, 0.1679511245568618], [0.0, -0.6888840768581076], [0.32075076768608457, -0.18518554206634005], [0.0, 0.0], [-0.14155287906784883, 0.24517677850316721], [-0.19261464084933066, 0.33361834423267245], [0.19260075719646197, -0.136189301475282], [-0.14148587162433662, -0.24506071820651873], [0.0, 0.0], [0.723105248446881, 0.1830654905447584], [0.0, -0.015323513958517436], [0.4619194308169799, 0.8000679231783062], [-0.18378587552849687, 0.1299562388725069], [0.0, 0.0], [-0.7069278736620499, -0.40814499815643424], [1.2028485276584187, 0.5541545140387811], [-0.16244269593837987, 0.09378633422791215], [0.0, -1.1663945593050127], [0.0, 0.0], [0.6895810779334665, 0.0], [0.47442288200002625, 0.8217245358972997], [-0.9882996875783557, 0.09106229429582656], [-0.22240272613997636, 0.3852128214162659], [0.0, 0.0], [0.15110752758784796, -0.013923102800159884], [0.44180755191167764, -0.2550777090262166], [-0.010364257995514638, 0.0], [0.20238924319835883, -0.1730326336496752], [0.0, 0.0], [-1.839416338052498, 1.0619875179264053], [0.02055314439029048, -0.044612682640498454], [1.0471932387101133, 0.6045972982628399], [-0.05894494033435455, -0.03403187716940603], [0.0, 0.0], [-0.17033353107725693, -0.2950263300584213], [0.3519045663882766, 0.0], [0.8175306422803525, 0.20697076723737573], [1.291995575260395, 0.0], [0.0, 0.0], [0.5020542027680527, -0.35500593130049596], [0.02414789590953133, 0.013941794203730975], [0.13453802903355702, -0.2330267018362975], [-0.03698448184600856, 0.08027856564851082], [0.0, 0.0], [0.0, 1.265662799634805], [-0.19142138830807834, -1.0299299839266465], [0.0, -0.5663843773035746], [-0.07630239264831468, 0.044053206935317], [0.0, 0.0], [-0.023017902813299233, 0.03986817715631687], [-0.07466808945169667, 0.1293289246344364], [0.1639363544351538, 1.7792023485007065], [0.13859422103198443, 0.24005223246282809], [0.0, 0.0], [-0.04086270388937983, -0.014447147508899192], [0.0, 0.0208373957438076], [-0.27268860985424653, -0.4723105269128822], [-1.408000854472429, -0.6486685657713426], [0.0, 0.0], [0.8943546709604634, 0.5163559100300227], [0.6466789004240003, -0.4572710357400707], [0.06346081776599659, -0.03663912022019191], [0.0, 0.7303906550177606], [0.0, 0.0], [0.3978573890850836, 0.0], [0.054700342548479906, 0.09474377248538884], [0.2266688912428541, 0.3205582201637164], [-0.39879247698435666, 0.6907288318131478], [0.0, 0.0], [-0.45762138276191444, 0.9933135840911991], [0.43358538454434264, -0.2503306384833636], [-0.3796483962620015, 0.0], [-0.009771516147460394, 0.02763802132137237], [0.0, 0.0], [-0.1141949581061736, 0.06593048980269736], [-0.605565071135731, 0.05579698690197458], [0.06899831894807464, 0.03983619801830255], [1.1177213601941762, 0.6453167281871023], [0.0, 0.0], [-0.3369322309461984, -0.5835837427063464], [0.17279114456525105, 0.0], [-0.9473288733400274, 0.1760692580554981], [-0.6296447749221479, 0.0], [0.0, 0.0], [0.1630030154893116, 0.07509578700751147], [0.22165437363434973, 0.1279722122848497], [-0.08420747070145812, 0.1458516176317931], [-0.037330518070021655, -0.052793324945038515], [0.0, 0.0], [0.0, 0.5972823831990889], [0.179206871180051, 0.17431264246134476], [0.0, -1.099936365150789], [0.07174773412211344, -0.0414235736091479], [0.0, 0.0], [-0.3400744176841551, 0.5890261697833565], [0.026943730722586975, -0.04666791055697514], [-0.06958224630551718, -0.032056667984807656], [-0.6353789817949014, -1.10050867853015], [0.0, 0.0], [0.27447938250577913, 0.32104738468795635], [0.0, 0.5856981203549626], [-0.9388787216856913, -1.6261856481049368], [-0.057898972074404295, -0.6283779302369741], [0.0, 0.0], [-0.8601417239741986, -0.49660305587773235], [-0.07112593156747363, -0.7719302098681616], [-0.12910690061541727, 0.07453990382454942], [0.0, 1.6256722643131674], [0.0, 0.0], [-0.023081374932080182, 0.0], [-0.37851268355116957, -0.6556031992198662], [-0.17949044348575313, 0.3896021961493677], [0.1187927058864033, -0.20575500216383694], [0.0, 0.0], [-0.26532849749049026, -0.37523115963512704], [1.3447758210198575, -0.7764066822655147], [-0.37530662667145176, 0.0], [1.0685274005457213, -0.30222518832380546], [0.0, 0.0], [-0.01728828640229079, 0.009981396808189935], [-0.04220525639938708, -0.059687246003447075], [-0.10324491861760125, -0.05960848155633309], [0.1021419761064615, 0.05897169740062587], [0.0, 0.0], [0.22915827001458428, 0.39691376663984757], [-1.3400667017781251, 0.0], [0.06815060046827423, 0.3666797501850467], [1.3358513364340596, 0.0], [0.0, 0.0], [0.01216637560090271, 0.13204175557307637], [-0.09746717915438018, -0.05627270212193487], [-0.04540309182030687, 0.0786404618534864], [0.38987395047465007, -0.03592312823996953], [0.0, 0.0], [0.0, 0.6621804523541116], [-0.5936347867815042, 1.6790527331257277], [0.0, 0.25950922109842806], [-0.5591991248827444, 0.3228537652816556], [0.0, 0.0], [0.47070409389903833, -0.815283405963806], [0.2960279856666584, -0.5127355116369238], [-0.040370245251587646, 0.028546074175561646], [-0.24812151935970497, -0.4297590779821938], [0.0, 0.0], [0.6337915716924368, -0.313541454438852], [0.0, -0.058180034858953275], [0.03793690294859352, 0.06570864338877352], [0.6665226889950423, -0.47130271320308664], [0.0, 0.0], [1.675074283047873, 0.9671045882303089], [0.12092132899536086, 0.055708677165523225], [0.4536926966106693, -0.2619396005175371], [0.0, -0.6855921048746284], [0.0, 0.0], [0.02455973939555325, 0.0], [0.15135084937719254, 0.26214736089000185], [-1.1056649732833288, 0.10187637460092903], [-0.5613487049061245, 0.9722844776603964], [0.0, 0.0], [1.7560918774737928, -0.16180694719115818], [0.1283934283580665, -0.07412798042470861], [1.784953291572852, 0.0], [0.07704992363461285, 0.41456196359222197], [0.0, 0.0], [0.002200630854983216, -0.0012705348165115559], [0.18561871614399345, -0.40290423295915506], [0.266254448475372, 0.15372207750019135], [0.33487929545387163, 0.193342651376325], [0.0, 0.0], [-0.06460820401573246, -0.11190469194102419], [-0.04419417382415922, 0.0], [-1.25077053211709, 0.35377132998732036], [0.22205490866759886, 0.0], [0.0, 0.0], [0.4276676902481128, -0.30240672386882844], [0.07233344138848626, 0.041761731857054556], [0.5321701384906219, -0.9217457181367229], [-0.16752831635632323, 0.36363718703948855], [0.0, 0.0], [0.0, 0.7213768702763091], [0.2535582383332333, -0.21677955344381247], [0.0, -0.17434543340176892], [-0.7736806663462547, 0.44668474098181915], [0.0, 0.0], [0.6234145727974469, -1.0797857142640246], [0.05454454093785133, -0.09447391617987907], [-0.0019883257227933655, -0.02157931233598132], [0.4991406572496193, 0.8645369784796633], [0.0, 0.0], [-0.24195347675607476, 0.20685806539019944], [0.0, -0.7751189125571218], [0.09930922885647174, 0.17200863003989433], [-1.0484894409156045, -0.48304100079538687], [0.0, 0.0], [0.34295327680505305, 0.1980041666828616], [-0.21659026125117317, 0.15315244246967047], [0.09897268673118217, -0.05714190732666853], [0.0, -0.03661368035100488], [0.0, 0.0], [-0.07180958353570223, 0.0], [-0.4470111297306663, -0.7742459882422768], [0.7747293221337989, 1.0956327145297329], [-0.09815050903198187, 0.1700016684321406], [0.0, 0.0], [-0.26321438679765663, 0.5713334992267478], [-0.7378542405149616, 0.42600034438402], [-0.5468293166750092, 0.0], [0.2109903041462846, -0.03921437143255556], [0.0, 0.0], [-0.5310724416309277, 0.3066148171348079], [-0.014595448604109914, 0.0013448299669341875], [0.5718925302286377, 0.33018230627504014], [-0.10832580992452683, -0.0625419355201098], [0.0, 0.0], [-0.15203255390025888, -0.2633281077597023], [1.247831131362583, 0.0], [0.023155144361026805, -0.065492638388142], [0.7813999035399563, 0.0], [0.0, 0.0], [-0.08742496913555901, -0.0402768429874397], [-0.04499082564218943, -0.025975465295581583], [-0.4858565134197168, 0.8415281664312196], [-0.2781534914838537, -0.39336844007789507], [0.0, 0.0], [0.0, 0.13344746339586455], [1.178141934235179, 0.18538630454512675], [0.0, 0.08973483198413854], [-0.37953264824338495, 0.21912327662956985], [0.0, 0.0], [-0.06465250570214087, 0.11198142471274454], [0.01616458849253639, -0.02799788855251624], [0.03581527171975184, 0.016500161108117622], [0.11227734527688459, 0.19447006655851762], [0.0, 0.0], [-0.041666666666666664, 0.11785113019775792], [0.0, -0.07609910681092338], [0.08241006746648008, 0.1427384239071225], [0.16422799024487117, 1.782367473889421], [0.0, 0.0], [-1.6218614718587, -0.9363821573659032], [-0.07349206124846035, -0.7976098310831986], [0.13369174329433872, -0.07718696397941681], [0.0, -0.03830574031137452], [0.0, 0.0], [-0.03601639525961859, 0.0], [-0.37511684386350425, -0.6497214323464711], [-0.08836993916167742, 0.19181590786870115], [-0.06384740761732065, 0.11058695392475952], [0.0, 0.0], [0.22632341521791363, 0.3200696432837708], [0.27324820934094524, -0.15775992721857793], [0.5855514289145644, 0.0], [-0.05941944436500996, -0.01504296885403757], [0.0, 0.0], [0.3356714764045099, -0.1938000172614229], [-0.44529863520785384, -0.6297473692171763], [-0.018936736121589904, -0.01093312969737284], [1.1420424361336854, 0.6593585079277593], [0.0, 0.0], [0.5881108025207178, 1.0186377904459898], [0.8834375997006104, 0.0], [0.8513505613662978, -0.7278619528606176], [-0.21448000521442712, 0.0], [0.0, 0.0], [0.09477294379025158, 1.0285713912995424], [1.7024555991611554, 0.9829131984590788], [0.11489060958736012, -0.1989963731178677], [0.560281988027485, -0.05162458707988262], [0.0, 0.0], [0.0, -0.7187310805597774], [0.3608005951344737, 0.42201380083380985], [0.0, -1.0263957582565475], [-0.1314689509007733, 0.07590363419263915], [0.0, 0.0], [0.018275412107552482, -0.031653942299540314], [-0.1561827634890559, 0.2705164816295582], [0.5781138460591235, -0.40878822084624206], [-0.12354975146603506, -0.2139944468016801], [0.0, 0.0], [-0.010174507664743298, 0.040189114129842496], [0.0, -0.5688143827634012], [-0.9735388450896482, -1.6862187428371973], [-0.1522599441415648, 0.10766403900558541], [0.0, 0.0], [0.8342231852115988, 0.4816389805461436], [0.1023357708095801, 0.04714627655750121], [-0.05741795109667733, 0.03315026952198342], [0.0, -1.4014713543880957], [0.0, 0.0], [0.07112293058144767, 0.0], [0.09788135943619934, 0.1695354876574086], [0.243332833941309, -0.02242077622274284], [0.5174809207880319, -0.8963032467523968], [0.0, 0.0], [-0.8866961778836185, 0.08170050979098478], [-0.2728550190977448, 0.15753291872582345], [-0.02891691610483062, 0.0], [0.2392928852910361, 0.08460281093949314], [0.0, 0.0], [-0.3262186007591293, 0.18834239696294633], [-0.09965982948660403, 0.21632175887366586], [1.065909816909025, 0.6154033197242904], [-0.021409555631671233, -0.012360812707175655], [0.0, 0.0], [-0.5103193854855879, -0.8838991037483657], [0.45444820501629113, 0.0], [0.27498597046143514, 0.2222222222222222], [0.027593457166366808, 0.0], [0.0, 0.0], [0.09566364549615125, -0.06764441244335448], [0.35347703490231497, 0.2040800612532023], [-0.5882947871957649, 1.0189564612509854], [-0.4024792360682101, 0.8736219668939692], [0.0, 0.0], [0.0, 0.06656843192823605], [-0.10214864083033205, -0.03611499831005842], [0.0, -0.8125852815740563], [0.5663183901642691, -0.32696407500837626], [0.0, 0.0], [-0.7657121143580642, 1.3262522860391577], [0.5050179554299241, -0.8747167575391832], [0.07599814518041323, 0.824808376717774], [-0.27758712920984974, -0.4807950113186465], [0.0, 0.0], [-0.16307225688678958, -0.8773993773568575], [0.0, 0.01955833236139221], [0.4408826495146379, 0.7636311491349349], [-1.275730592721012, -0.5877314145530358], [0.0, 0.0], [-0.016110197026609846, -0.009301226590011103], [-0.17214253415388966, 0.12172315323085225], [-0.724747726742713, 0.41843329512947475], [0.0, -0.6412349020969345], [0.0, 0.0], [0.2218029129200908, 0.0], [-0.2585936700987285, -0.4478973751267026], [-0.6181086239146166, -0.8741375989598216], [0.6754917921909722, -1.1699861041705215], [0.0, 0.0], [0.14059157357740534, -0.3051682572181077], [-0.005214740922851526, 0.0030107320755624863], [-0.7361901413828768, 0.0], [-0.4223370894691425, -0.4939905387171905], [0.0, 0.0], [0.42185362005764826, -0.24355730109890134], [-0.5285249154098312, 0.04869847880621846], [0.22680504290162135, 0.13094595257281572], [-1.1504361391040925, -0.6642046145972216], [0.0, 0.0], [-0.2723002060233509, -0.4716377917439166], [-0.20018600137071044, 0.0], [-0.06718028902513537, -0.07857805528853015], [-0.2723982374007462, 0.0], [0.0, 0.0], [0.1514932249977683, 0.06979320550213625], [0.2560686966960583, 0.14784133096850588], [0.10004561926765775, -0.17328409564627503], [0.3742138879164414, 0.5292183555197967], [0.0, 0.0], [0.0, -0.6985460944481503], [0.14355205200744722, 0.5075331471385494], [0.0, 1.6404998793475973], [0.009383697566195828, -0.005417680315837198], [0.0, 0.0], [-0.32662636189251676, 0.565733453889218], [-0.8710919868699764, 1.5087755793249205], [-0.144559737968475, -0.06659893536174553], [0.3342937613364935, 0.5790137792881112], [0.0, 0.0], [0.5443780644318822, -0.10117736786410243], [0.0, -0.5772041918075712], [0.002036347803184949, 0.0035270578569976], [0.08592222581001335, 0.9325144900062651], [0.0, 0.0], [-0.11486433185225285, -0.06631695291518469], [0.03367301136077, 0.36545341697146994], [0.7142678772639335, -0.41238275121183454], [0.0, -0.15037884893000308], [0.0, 0.0], [1.19421578988083, 0.0], [0.2438037281923416, 0.4222804443038483], [0.35035013317756836, -0.7604704665963923], [-0.3354676370122838, 0.5810469916003491], [0.0, 0.0], [-0.40518074442358337, -0.5730121039762585], [-0.5296112610798666, 0.30577120415031817], [-0.3145249516159038, 0.0], [0.8518518518518519, -0.523782800878924], [0.0, 0.0], [1.0074192358652212, -0.5816337670135926], [0.061950703097027146, 0.0876115245183647], [-0.846368199139492, -0.48865090760672447], [0.31240511593617487, 0.18036717778196681], [0.0, 0.0], [-0.0036643185552976474, -0.006346785912892912], [-0.09709182758430217, 0.0], [0.17751581847529613, 0.06276131950588106], [-1.2630070778774805, 0.0], [0.0, 0.0], [-0.08896004018115956, -0.9654839096452169], [-1.3006637660622482, -0.7509385754612314], [-0.010707265169551875, 0.01854552728377644], [0.03458621101802585, -0.003186786119520377], [0.0, 0.0], [0.0, 0.8550296989774395], [-1.5438316854289122, 0.28693446074082885], [0.0, -0.0481283422459893], [-0.347896497629722, 0.20085813655664803], [0.0, 0.0], [-0.5391685084247559, 0.9338672504328055], [0.1204439948881779, -0.20861511861289025], [0.17119123781075532, -0.12105048513570398], [0.124417052611831, 0.21549665645166138], [0.0, 0.0], [0.16229753764113633, 0.5738084471796322], [0.0, 0.9110128646230002], [0.4567894162648199, 0.7911824773303974], [0.0029341744733109546, -0.0020747746672626424], [0.0, 0.0], [-1.0846167693152862, -0.6262037837317627], [0.3948988124871866, 0.18193060430836955], [-1.4049905294654115, 0.8111716603957301], [0.0, 0.01971667444673095], [0.0, 0.0], [0.19026550531420158, 0.0], [-0.11872277802945451, -0.20563388356273726], [-0.06223636973633503, 0.005734481846008561], [-0.4269804340232564, 0.739551805566091], [0.0, 0.0], [0.31270844552025534, -0.028813070420502657], [-0.775057011381924, 0.4474793741586607], [0.35966451275231404, 0.0], [0.5630230519848983, -0.48135641969343024], [0.0, 0.0], [0.3468381806694359, -0.20024711697473888], [0.6298251784318165, -1.3670993727678877], [-0.05395393926238188, -0.031150321356976898], [-0.29974259889028837, -0.173056470156906], [0.0, 0.0], [-0.01100042360379331, -0.01905329258654994], [-0.03255223033595359, 0.0], [0.32894439693868516, -0.33818026813897306], [-0.10559662477907689, 0.0], [0.0, 0.0], [-1.0315742217950061, 0.7294331275284844], [-0.9044887736866403, -0.5222068369669762], [-0.09800091352498341, 0.16974256141343522], [0.7378132784052595, -1.6014984866738615], [0.0, 0.0], [0.0, -1.8057151378096823], [-0.005600112600018164, -0.03013103149602802], [0.0, 0.16007670995188253], [-0.012760246785192643, 0.007367131916357029], [0.0, 0.0], [0.19281996518027053, -0.3339739764058904], [-0.8296828339980896, 1.437052822652426], [-0.10057672647625913, -1.0915598835147753], [-0.5349863289743254, -0.9266235031382895], [0.0, 0.0], [-1.5392111781535232, -0.5441933308752457], [0.0, 0.7302375309759598], [0.0046958283708215314, 0.008133413321886279], [0.5086556957993212, 0.23433860825972316], [0.0, 0.0], [0.044873574581979915, 0.025907770364406852], [0.1319635823082429, -0.09331234391982768], [-0.4472711044226728, 0.25823209253917134], [0.0, 0.2913236773887581], [0.0, 0.0], [-0.7242444273137584, 0.0], [0.14066382888361867, 0.24363689841360206], [-0.7299661181234585, -1.0323279843230357], [-0.038678983149257176, 0.0669939639996139], [0.0, 0.0], [-0.11616146302303465, 0.2521402266482788], [-1.1792400392021756, 0.680834554072561], [-0.5639777295236376, 0.0], [-0.29653696818663516, 0.8387332043090769], [0.0, 0.0], [-0.9956790870366503, 0.5748555889270909], [-0.7700714503831041, 0.07095466478940936], [-1.7002113216634547, -0.981617464241645], [0.30659116563468153, 0.17701049201034452], [0.0, 0.0], [-0.13422597773172937, -0.23248621312696402], [0.7041769870947194, 0.0], [-0.020379515099552645, 0.0037877090037992858], [-1.0580475642980778, 0.0], [0.0, 0.0], [-0.1606648600459541, -0.07401859452344764], [-0.08074802925418906, -0.04661989642643783], [-0.2345187516201467, 0.4061983931337201], [-0.24826812089854322, -0.351104143679603], [0.0, 0.0], [0.0, 0.05633689151086368], [0.024110096143138946, -0.09523442681514097], [0.0, 0.9126156690284323], [1.173752438430173, -0.67766628628964], [0.0, 0.0], [-0.3887148449820485, 0.6732738611651681], [0.23824706530236883, -0.41265602185788297], [-0.06672873907142275, -0.030742051989314], [0.06109089502553704, 0.10581253406408693], [0.0, 0.0], [-0.4427512955828694, -0.5178682064074219], [0.0, -1.1836770681519029], [-0.2226130450430641, -0.385577104442206], [0.01731567738508428, 0.18792716219396519], [0.0, 0.0], [0.045312239014751184, 0.026161033392751262], [0.01164367880289163, 0.12636892373672506], [0.3247009842500121, -0.18746620066288092], [0.0, 0.18098003822012326], [0.0, 0.0], [-0.11908734711913711, 0.0], [0.4655590315793024, 0.8063718966179151], [0.019130845748813154, -0.04152543931133586], [-0.2722942463037863, 0.4716274692068318], [0.0, 0.0], [0.18334813706843606, 0.25929342207802347], [-0.365759267797815, 0.2111712117216689], [1.51198814555196, 0.0], [-0.0433850605133048, 0.17137017396343182], [0.0, 0.0], [0.6735707110377674, -0.38888623133590267], [0.13457507664080842, 0.19031789854282996], [0.05073330933251586, 0.029290889800008584], [-0.041566070585317784, -0.023998182041588205], [0.0, 0.0], [0.41774437415603194, 0.7235544806143104], [-0.4809378537050648, 0.0], [-0.20699013923161957, -1.1136966075530206], [0.038104189408811134, 0.0], [0.0, 0.0], [-0.004970419252263838, -0.053943993308445855], [0.36907900100815527, 0.2130878605842966], [0.44928078665057875, -0.7781771493433154], [-0.05072002705302866, 0.004673361823590576], [0.0, 0.0], [0.0, -0.26104341208145004], [-0.09955745260226223, 0.2815909994108717], [0.0, 1.5648773758752723], [-0.3586653845442171, 0.20707555631560437], [0.0, 0.0], [0.6638875108157096, -1.1498868992432416], [-0.493900776638044, 0.8554612390348199], [0.36433094578792696, -0.2576208823627516], [0.36666972392237424, 0.6350905914308056], [0.0, 0.0], [-0.08562925411591615, -0.013474175326600705], [0.0, -0.7023027767382131], [0.6262311429962751, 1.0846641569514794], [0.4475619685393465, -0.31647410295537215], [0.0, 0.0], [-0.09129236492313919, -0.05270767146333196], [-0.028086271044935326, -0.012939396378001372], [-0.9955168841405517, 0.574761941041365], [0.0, -0.046346544635929486], [0.0, 0.0], [-1.9775985653739667, 0.0], [-0.008160498366791542, -0.014134397786365795], [1.2440994895098831, -0.11463178150408401], [0.26764888530414976, -0.46358146793596244], [0.0, 0.0], [-0.3020411006818974, 0.027830177369705653], [1.1267629865445024, -0.6505369135943752], [0.16799825577554975, 0.0], [0.26692767214969915, 1.4361864967997144], [0.0, 0.0], [1.2076034742823982, -0.6972101909512699], [0.1359734292659385, -0.29514410701300214], [0.11787950507402925, 0.06805776398643064], [0.9509001022188481, 0.5490024299884947], [0.0, 0.0], [-0.13269093037181576, -0.22982743310756915], [-2.130933608491428, 0.0], [0.5628558601072258, 0.547483986825307], [-1.4326807896983884, 0.0], [0.0, 0.0], [-0.17529193453436437, 0.1239501155965574], [-0.012224664550155, -0.007057913368784864], [-0.09466018280123212, 0.16395624606549164], [0.021629012714243195, -0.04694796386015173], [0.0, 0.0], [0.0, -0.08429912304943274], [0.7610849017238138, -0.6506893493702417], [0.0, 0.0833985742601273], [-0.5849558416382584, 0.3377244126338926], [0.0, 0.0], [0.2745171940425269, -0.4754777276329009], [-0.1620393666922904, 0.28066041593733104], [-0.07380737028106092, -0.8010318821178172], [-0.47378512603480155, -0.8206199101627003], [0.0, 0.0], [-0.2004496958746166, 0.1713744181427059], [0.0, 0.5013754373060053], [0.4722947693248178, 0.8180385366196073], [1.2372891685969734, 0.5700213802348454], [0.0, 0.0], [0.8565182373587297, 0.49451103490488635], [-0.0765572681289031, 0.05413416344306413], [-0.00955998380434793, 0.00551945922288874], [0.0, -0.07958161853222154], [0.0, 0.0], [-0.06420966822594891, 0.0], [-0.0019171748548798535, -0.0033206442556453957], [0.15983959063242914, 0.22604731687654483], [0.04040825953574162, -0.06998915856133406], [0.0, 0.0], [0.6124404390573043, -1.3293640342826831], [-0.4055010564782303, 0.23411614411438392], [0.7551317909781056, 0.0], [-1.2380872034865986, 0.23010920648636082], [0.0, 0.0], [-0.15891629380956285, 0.09175036500956876], [-0.04072219767011467, 0.0037521581714704344], [-0.3954134932381716, -0.22829208676226861], [-1.129591011864911, -0.6521696747743883], [0.0, 0.0], [0.4951745536065801, 0.8576674854618354], [0.6656761134565587, 0.0], [-0.11227662760194417, 0.31756625898436563], [0.4186467921717765, 0.0], [0.0, 0.0], [-0.031753866060222326, -0.014629064101454398], [-0.030247296272408235, -0.01746328464513326], [0.1754484088975566, -0.30388555831768754], [-0.8333480668602414, -1.1785321383311542], [0.0, 0.0], [0.0, -0.9994558028919688], [0.41608330324762277, 0.27726284417236075], [0.0, -0.7252794845392591], [0.035627849655443446, -0.02056974858921779], [0.0, 0.0], [-0.026825441332166404, 0.04646302732277036], [0.8036345814866699, -1.3919359258542634], [0.524264147035754, 0.241529450257644], [0.07075837192062474, 0.12255709522737705], [0.0, 0.0], [-0.4534325569122068, 1.2825009432135062], [0.0, 1.3676924249085503], [0.39464818298678117, 0.6835507040478443], [0.00863768753611243, 0.09374488046179845], [0.0, 0.0], [0.32080918234821526, 0.1852192677872458], [-0.10543823183708609, -1.1443218336327616], [0.41983770715588276, -0.24239341324240418], [0.0, 0.043429044349858746], [0.0, 0.0], [0.8783593106463028, 0.0], [0.008683179135385051, 0.015039707433708903], [0.5976904769442044, -1.297347746837052], [-0.10702121193295659, 0.18536617655547744], [0.0, 0.0], [-0.4532978838187704, -0.6410600150915287], [1.0814441746141816, -0.6243720853270505], [-0.7938669516988137, 0.0], [-0.3434945098170021, -1.2144364859597565], [0.0, 0.0]], 'angles': [None, None, None, -0.4350187063946621, -0.3264331670587787, -0.22749509225902173, -0.3436835677489753, -0.13740131181101678, -0.4133673845871206, -0.37123306039042564, -0.4244874215570219, 0.10868575581620878, -0.18791915979170884, -0.4210733499719221, -0.0033292821858252595, -0.07519410351069841, -0.1412268587297911, -0.100443881636165, -0.26127385740223863, -0.4797479577691063, 0.008626043347932391, -0.12797863856672365, 0.06036989629255104, 0.1519864283587059, -0.42916244518321556, -0.2030023498765842, -0.25012155384452417, -0.22306757450990614, -0.1309575703913942, 0.22000738321810392, -0.45026313689178865, 0.009165991409206282, 0.00874933775077694, -0.4658386872245645, -0.23001457980685747, -0.04893049402549727, -0.15610686209388797, -0.4330852531548164, -0.24484430804545065, -0.051256010849549664, 0.02117172860076882, -0.13294641445068434, -0.3301951237830129, 0.009730921231783688, -0.21860207367295312, -0.313009649071488, -0.39717212038065697, -0.4572556925499984, -0.11019848267919814, -0.4594156784823504, -0.1974728620059004, -0.13729518268824487, -0.1520810646248044, -0.4832846298084416, -0.3915728687409195, -0.4115527888395492, -0.48712451243752813, -0.35891762300067004, -0.3474286333734139, -0.33918118287259724, -0.15162617364203024, -0.42072037348409147, 0.01711730103035445, -0.23254601680093198, -0.21407549823296346, -0.45266692626567706, -0.4567279446147988, -0.24156505481302393, -0.44751503090146366, -0.10592732322055431, -0.0069137933807480855, -0.4009007280086908, -0.2922828060474001, -0.06333369630845682, -0.13822075710554338, -0.39518914665834665, -0.3403468887417647, 0.0016582172675282407, -0.08031075267671031, -0.48195197795121114, -0.055029369959010824, -0.1380279967277542, 0.048266689483592355, -0.4073199161429281, -0.47375528192095495, -0.38926639726933415, 0.1510387833786424, -0.19185349478669525, -0.3349219483535607, -0.1761592783050874, -0.3668601080333945, -0.38565443500768315, -0.4953695267012643, 0.04239778960434788, 0.17819200299791105, -0.07448297199485393, -0.13570021628447831, 0.058729114434003256, -0.4861083993012825, -0.25571565359908277, -0.403372217749488, -0.14277045264037144, -0.49741278913201664, -0.3684931778960022, -0.426963614494881, -0.49394276331366727, -0.14453204078776594, -0.20271053529997504, -0.05208064640294819, 0.0167307203343875, 0.0538697302449124, -0.4142303482804537, -0.4416261085913907, -0.10304725963553316, -0.24433902342562264, -0.36348906711946427, -0.06116324426260827, -0.21351750570993028, 0.18343359521550326, -0.2803205266089345, 0.22213996257382174, -0.4020436508704476, -0.12496286627393954, -0.3099949534371165, -0.12722552353243696, -0.44321428364341453, -0.029084450925962332, -0.4880219270585036, -0.3827904650086449, -0.24792207821345705, -0.35878093952546153, -0.41837081340858795, 0.17396403759661017, 0.07527089919068057, -0.2743627683953731, -0.4868780082270374, -0.2212222517517972, -0.2541122180848041, 0.23907269766966063, 0.023265574090340833, -0.30897384932752836, -0.43080422118749595, -0.4472303280091447, -0.1927358054770406, -0.33872088728696104, -0.21482903753624571, -0.30331957956615024, -0.006259978854115343, -0.4605578710979184, -0.11357692883085936, -0.13249063771503045, -0.4791673868251249, 0.1430122357677997, -0.49888136776363745, -0.22060529139474044, -0.2105455456423966, -0.3770921037418373, -0.38816192637419333, 0.04032836542699593, -0.08434024279344944, -0.08363846137517852, -0.1883805836349581, -0.16944617602888884, -0.4167166673979353, -0.26811501510488817, -0.018766572376182247, -0.17763457880124175, -0.22601079162996335], 'char_orbit_index': 11, 'conrey_index': 149, 'dual_conrey_index': 299, 'dual_embedding_index': 4, 'dual_embedding_m': 8, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.9659258262890683, 'embedding_root_real': 0.25881904510252074, 'hecke_orbit': 1, 'hecke_orbit_code': 687245099458, 'label': '450.3.k.a.149.4', 'level': 450, 'weight': 3}
• 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': 4050, 'analytic_conductor': 12.26161189621336, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 6, 'char_parity': -1, 'char_values': [450, 6, [101, 127], [5, 3]], 'conrey_index': 149, 'cusp_dim': 336, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 687245099458, 'hecke_orbit_dims': [8, 32, 32], 'label': '450.3.k', 'level': 450, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 384, 'mf_new_dim': 72, 'num_forms': 3, 'prim_orbit_index': 8, 'relative_dim': 36, 'sturm_bound': 270, 'trace_bound': 6, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -72, 0, 16, 0, 0, -20, 0, -72, 0, 0, 72, 0, -144, 0, 0, 0, 0, -104, 0, 0, -16, 0, 0, 0, 0, -72, 0, 60, 0, 0, 0, 0, 128, 0, 0, 416, 0, 288, 0, 0, 0, 0, 48, 0, 0, 204, 0, -228, 0, 0, -160, 0, -144, 0, 0, -288, 0, -96, 0, 0, 576, 0, -144, 0, 0, -312, 0, 0, 0, 0, -288, 0, 0, 0, 0, -144, 0, 908, 0, 0, -136, 0, -216, 0, 0, 0, 0, -336, 0, 0, 168, 0, -32, 0, 0, -624, 0, -1764, 0, 0, 0, 0, 240, 0, 0, -144, 0, -56, 0, 0, 496, 0, 0, 0, 0, 1332, 0, 588, 0, 0, 120, 0, 1304, 0, 0, -232, 0, 1656, 0, 0, 0, 0, 0, 0, 0, -180, 0, -96, 0, 0, -176, 0, -864, 0, 0, -2016, 0, -648, 0, 0, -480, 0, -488, 0, 0, 444, 0, 0, 0, 0, -576, 0, 264, 0, 0, 0, 0, 1948, 0, 0, 240, 0, 288, 0, 0, 0, 0, 1440, 0, 0, -48, 0, -832, 0, 0, 1244, 0, -2628, 0, 0, 144, 0, 408, 0, 0, 216, 0, -2720, 0, 0, 1392, 0, 0, 0, 0, 2772, 0, -396, 0, 0, 72, 0, -80, 0, 0, 752, 0, 2844, 0, 0, 0, 0, -960, 0, 0, 528, 0, 1248, 0, 0, -2288, 0, 576, 0, 0, -2232, 0, 252, 0, 0, 384, 0, 480, 0, 0, -1032, 0, 0, 0, 0, -3312, 0, -576, 0, 0, 132, 0, 696, 0, 0, -96, 0, 0, 0, 0, 0, 0, -1296, 0, 0, 96, 0, -312, 0, 0, 92, 0, -2376, 0, 0, 1296, 0, -168, 0, 0, -2928, 0, -572, 0, 0, 3408, 0, 0, 0, 0, 2052, 0, -96, 0, 0, 0, 0, 1728, 0, 0, 740, 0, -1332, 0, 0, 0, 0, 576, 0, 0, -1176, 0, -1692, 0, 0, -2456, 0, 1080, 0, 0, 2412, 0, 228, 0, 0, 1488, 0, 688, 0, 0, -6780, 0, 0, 0, 0, 432, 0, 0, 0, 0, 24, 0, 1888, 0, 0, -1728, 0, -1656, 0, 0, 0, 0, -744, 0, 0, 336, 0, -856, 0, 0, 3324, 0, 3888, 0, 0, 6120, 0, 336, 0, 0, 2616, 0, -1964, 0, 0, 128, 0, 0, 0, 0, 2160, 0, -384, 0, 0, 480, 0, 312, 0, 0, 4816, 0, 2160, 0, 0, 0, 0, 624, 0, 0, -384, 0, -768, 0, 0, -1440, 0, 0, 0, 0, -4500, 0, -312, 0, 0, -960, 0, 1872, 0, 0, -1692, 0, 0, 0, 0, -6048, 0, 144, 0, 0, -2748, 0, -10320, 0, 0, -2128, 0, -2232, 0, 0, 0, 0, 3600, 0, 0, -1416, 0, -832, 0, 0, 1380, 0, 4140, 0, 0, 288, 0, -528, 0, 0, 1488, 0, 616, 0, 0, 6976, 0, 0, 0, 0, -396, 0, -768, 0, 0, 1176, 0, -272, 0, 0, 2156, 0, 4356, 0, 0, 0, 0, -480, 0, 0, 1452, 0, 2808, 0, 0, -752, 0, 4176, 0, 0, -8388, 0, 2772, 0, 0, -576, 0, 40, 0, 0, -4812, 0, 0, 0, 0, -3312, 0, -1776, 0, 0, 3372, 0, -7968, 0, 0, -4272, 0, -576, 0, 0, 0, 0, -5952, 0, 0, 0, 0, -5168, 0, 0, 4976, 0, 5364, 0, 0, 7776, 0, -360, 0, 0, -8376, 0, 7980, 0, 0, 552, 0, 0, 0, 0, 11160, 0, 360, 0, 0, -2424, 0, -160, 0, 0, -5548, 0, -972, 0, 0, 0, 0, 3552, 0, 0, -2148, 0, 9696, 0, 0, -1440, 0, 4032, 0, 0, 3960, 0, -300, 0, 0, 2592, 0, -1152, 0, 0, -2004, 0, 0, 0, 0, -7776, 0, 480, 0, 0, -888, 0, -2532, 0, 0, -688, 0, -7056, 0, 0, 0, 0, -1200, 0, 0, 2112, 0, -2088, 0, 0, 4392, 0, -13644, 0, 0, 2808, 0, -24, 0, 0, 8040, 0, -5212, 0, 0, 10960, 0, 0, 0, 0, 6660, 0, -156, 0, 0, 528, 0, -2608, 0, 0, -3592, 0, -12600, 0, 0, 0, 0, 0, 0, 0, 384, 0, 8928, 0, 0, -2248, 0, 7632, 0, 0, -4644, 0, -1260, 0, 0, -6816, 0, 3264, 0, 0, -6852, 0, 0, 0, 0, -576, 0, 432, 0, 0, -1368, 0, 2872, 0, 0, 576, 0, 1296, 0, 0, 0, 0, 8064, 0, 0, -1440, 0, 424, 0, 0, 2584, 0, 8172, 0, 0, 7200, 0, -96, 0, 0, 2328, 0, 13904, 0, 0, 3424, 0, 0, 0, 0, -10332, 0, 708, 0, 0, -768, 0, 1672, 0, 0, -312, 0, -900, 0, 0, 0, 0, -7872, 0, 0, 3828, 0, 348, 0, 0, -8528, 0, -288, 0, 0, 2664, 0, 324, 0, 0, -1632, 0, 4656, 0, 0, -17076, 0, 0, 0, 0, -2016, 0, -216, 0, 0, 7176, 0, -4272, 0, 0, -280, 0, -2016, 0, 0, 0, 0, -8280, 0, 0, 1584, 0, -1872, 0, 0, 16012, 0, -1116, 0, 0, 1728, 0, 48, 0, 0, -6504, 0, -13496, 0, 0, 9136, 0, 0, 0, 0, 144, 0, 2964, 0, 0, -792, 0, 2520, 0, 0, 5108, 0, -13644, 0, 0, 0, 0, -288, 0, 0, -4212, 0, -14100, 0, 0, 800, 0, -5184, 0, 0, -22068, 0, 3960, 0, 0, 2592, 0, -4904, 0, 0, 1392, 0, 0, 0, 0, -5688, 0, 5856, 0, 0, -1092, 0, -7044, 0, 0, -5472, 0, 576, 0, 0, 0, 0, 4416, 0, 0, 960, 0, 2576, 0, 0, 2184, 0, 5112, 0, 0, 11232, 0, 1056, 0, 0, 9840, 0, 12220, 0, 0, 3408, 0, 0, 0, 0, -2016, 0, -3048, 0, 0, 3360, 0, -1408, 0, 0, 22844, 0, 23112, 0, 0, 0, 0, 5952, 0, 0, 4380, 0, 17340, 0, 0, -11472, 0, 4464, 0, 0, -6408, 0, -6624, 0, 0, -1008, 0, 5112, 0, 0, -4572, 0, 0, 0, 0, -6624, 0, -384, 0, 0, -10764, 0, 40, 0, 0, -4656, 0, -8352, 0, 0, 0, 0, 1632, 0, 0, -5280, 0, 624, 0, 0, -2740, 0], 'weight': 3, '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: 8633397
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245099458, 'target_is_minimal': False, 'target_label': '450.3.k.a.149.4', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
  • id: 8633398
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245100358, 'target_is_minimal': False, 'target_label': '1350.3.k.a.449.1', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 8633399
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 401, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149433516482, 'target_is_minimal': False, 'target_label': '450.3.i.b.401.1', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 8633400
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 5, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206208761874, 'target_is_minimal': True, 'target_label': '18.3.d.a.5.2', 'target_level': 18, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 8633401
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 149, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245099458, 'target_is_minimal': False, 'target_label': '450.3.k.a.149.1', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
  • id: 8633402
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 299, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245099458, 'target_is_minimal': False, 'target_label': '450.3.k.a.299.1', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 8633403
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245100358, 'target_is_minimal': False, 'target_label': '1350.3.k.a.899.4', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 3}
  • id: 8633404
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 1151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149433517382, 'target_is_minimal': False, 'target_label': '1350.3.i.b.1151.2', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 8633405
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206208761910, 'target_is_minimal': False, 'target_label': '54.3.d.a.17.1', 'target_level': 54, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 3}
  • id: 8633406
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245100358, 'target_is_minimal': False, 'target_label': '1350.3.k.a.449.4', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
  • id: 8633407
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298816700560, 'target_is_minimal': False, 'target_label': '144.3.q.c.113.2', 'target_level': 144, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 8633408
    {'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498071441984, 'target_is_minimal': False, 'target_label': '576.3.q.e.257.1', 'target_level': 576, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 8633409
    {'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097698812480, 'target_is_minimal': False, 'target_label': '576.3.q.f.257.2', 'target_level': 576, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 3}
  • id: 8633410
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 101, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149433516482, 'target_is_minimal': False, 'target_label': '450.3.i.b.101.1', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 8633411
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149433517382, 'target_is_minimal': False, 'target_label': '1350.3.i.b.251.2', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 3}
  • id: 8633412
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68769808546, 'target_is_minimal': False, 'target_label': '162.3.b.a.161.4', 'target_level': 162, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 3}
  • id: 8633413
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68769808546, 'target_is_minimal': False, 'target_label': '162.3.b.a.161.1', 'target_level': 162, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 3}
  • id: 8633414
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 299, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 687245099458, 'target_is_minimal': False, 'target_label': '450.3.k.a.299.4', 'target_level': 450, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 3}
  • id: 8633415
    {'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 899, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245100358, 'target_is_minimal': False, 'target_label': '1350.3.k.a.899.1', 'target_level': 1350, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 3}
  • id: 8633416
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 11, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206208761874, 'target_is_minimal': True, 'target_label': '18.3.d.a.11.2', 'target_level': 18, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 3}
  • id: 8633417
    {'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 35, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206208761910, 'target_is_minimal': False, 'target_label': '54.3.d.a.35.1', 'target_level': 54, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 3}
  • id: 8633418
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 17, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898444071344, 'target_is_minimal': False, 'target_label': '432.3.q.d.17.1', 'target_level': 432, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 3}
  • id: 8633419
    {'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898444072640, 'target_is_minimal': False, 'target_label': '1728.3.q.d.449.2', 'target_level': 1728, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 3}
  • id: 8633420
    {'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298816702144, 'target_is_minimal': False, 'target_label': '1728.3.q.c.449.1', 'target_level': 1728, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 3}
  • id: 8633421
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872692462864, 'target_is_minimal': False, 'target_label': '1296.3.e.g.161.2', 'target_level': 1296, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 3}
  • id: 8633422
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 305, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511898444071344, 'target_is_minimal': False, 'target_label': '432.3.q.d.305.1', 'target_level': 432, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '180.43', 'twisting_conrey_index': 43, 'weight': 3}
  • id: 8633423
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008298816700560, 'target_is_minimal': False, 'target_label': '144.3.q.c.65.2', 'target_level': 144, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '180.83', 'twisting_conrey_index': 83, 'weight': 3}
  • id: 8633424
    {'conductor': 180, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 161, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021872692462864, 'target_is_minimal': False, 'target_label': '1296.3.e.g.161.4', 'target_level': 1296, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '180.103', 'twisting_conrey_index': 103, 'weight': 3}
  • id: 8633425
    {'conductor': 360, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 1601, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008298816702144, 'target_is_minimal': False, 'target_label': '1728.3.q.c.1601.1', 'target_level': 1728, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '360.43', 'twisting_conrey_index': 43, 'weight': 3}
  • id: 8633426
    {'conductor': 360, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015498071441984, 'target_is_minimal': False, 'target_label': '576.3.q.e.65.1', 'target_level': 576, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '360.83', 'twisting_conrey_index': 83, 'weight': 3}
  • id: 8633427
    {'conductor': 360, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 1601, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511898444072640, 'target_is_minimal': False, 'target_label': '1728.3.q.d.1601.2', 'target_level': 1728, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '360.133', 'twisting_conrey_index': 133, 'weight': 3}
  • id: 8633428
    {'conductor': 360, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 149, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 687245099458, 'source_is_minimal': False, 'source_label': '450.3.k.a.149.4', 'source_level': 450, 'target_conrey_index': 65, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519097698812480, 'target_is_minimal': False, 'target_label': '576.3.q.f.65.2', 'target_level': 576, 'twist_class_label': '18.3.d.a.5.2', 'twist_class_level': 18, 'twisting_char_label': '360.173', 'twisting_conrey_index': 173, 'weight': 3}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 910425
    {'charpoly_factorization': [[[4, 0, 2, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 2}
  • id: 910426
    {'charpoly_factorization': [[[81, 0, 6, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 3}
  • id: 910427
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 687245099458, 'p': 5}
  • id: 910428
    {'charpoly_factorization': [[[7890481, 0, -308990, 0, 9291, 0, -110, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 7}
  • id: 910429
    {'charpoly_factorization': [[[81, -162, 117, -18, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 11}
  • id: 910430
    {'charpoly_factorization': [[[1330863361, 0, -17583842, 0, 195843, 0, -482, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 13}
  • id: 910431
    {'charpoly_factorization': [[[1296, 0, -360, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 17}
  • id: 910432
    {'charpoly_factorization': [[[-116, -20, 1], 4]], 'hecke_orbit_code': 687245099458, 'p': 19}
  • id: 910433
    {'charpoly_factorization': [[[6561, 0, 7290, 0, 8019, 0, 90, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 23}
  • id: 910434
    {'charpoly_factorization': [[[2025, -810, 63, 18, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 29}
  • id: 910435
    {'charpoly_factorization': [[[15625, 4750, 1569, -38, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 31}
  • id: 910436
    {'charpoly_factorization': [[[652864, 0, 2480, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 37}
  • id: 910437
    {'charpoly_factorization': [[[455625, 85050, 5967, 126, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 41}
  • id: 910438
    {'charpoly_factorization': [[[3418801, 0, -3753470, 0, 4119051, 0, -2030, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 43}
  • id: 910439
    {'charpoly_factorization': [[[166726039041, 0, 918722250, 0, 4654179, 0, 2250, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 47}
  • id: 910440
    {'charpoly_factorization': [[[810000, 0, -9000, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 53}
  • id: 910441
    {'charpoly_factorization': [[[2954961, -216594, 3573, 126, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 59}
  • id: 910442
    {'charpoly_factorization': [[[966289, 60946, 4827, -62, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 61}
  • id: 910443
    {'charpoly_factorization': [[[29120366676241, 0, -35561808110, 0, 38031771, 0, -6590, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 67}
  • id: 910444
    {'charpoly_factorization': [[[2396304, 0, 7704, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 71}
  • id: 910445
    {'charpoly_factorization': [[[577600, 0, 9296, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 73}
  • id: 910446
    {'charpoly_factorization': [[[1692601, -18214, 1497, 14, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 79}
  • id: 910447
    {'charpoly_factorization': [[[17229935527596801, 0, 3244030050186, 0, 479518947, 0, 24714, 0, 1], 1]], 'hecke_orbit_code': 687245099458, 'p': 83}
  • id: 910448
    {'charpoly_factorization': [[[36144144, 0, 22824, 0, 1], 2]], 'hecke_orbit_code': 687245099458, 'p': 89}
  • id: 910449
    {'charpoly_factorization': [[[12317942139750625, 0, -2360233060850, 0, 341256531, 0, -21266, 0, 1], 1]], 'hecke_orbit_code': 687245099458, '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': 11, 'hecke_orbit': 1, 'label': '450.3.k.a', 'level': 450, 'portrait': 'data:image/png;base64,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', 'weight': 3}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 10685394
    {'hecke_orbit_code': 687245099458, 'n': 1, 'trace_an': 8}
  • id: 10685395
    {'hecke_orbit_code': 687245099458, 'n': 2, 'trace_an': 0}
  • id: 10685396
    {'hecke_orbit_code': 687245099458, 'n': 3, 'trace_an': 0}
  • id: 10685397
    {'hecke_orbit_code': 687245099458, 'n': 4, 'trace_an': -8}
  • id: 10685398
    {'hecke_orbit_code': 687245099458, 'n': 5, 'trace_an': 0}
  • id: 10685399
    {'hecke_orbit_code': 687245099458, 'n': 6, 'trace_an': -24}
  • id: 10685400
    {'hecke_orbit_code': 687245099458, 'n': 7, 'trace_an': 0}
  • id: 10685401
    {'hecke_orbit_code': 687245099458, 'n': 8, 'trace_an': 0}
  • id: 10685402
    {'hecke_orbit_code': 687245099458, 'n': 9, 'trace_an': -24}
  • id: 10685403
    {'hecke_orbit_code': 687245099458, 'n': 10, 'trace_an': 0}
  • id: 10685404
    {'hecke_orbit_code': 687245099458, 'n': 11, 'trace_an': 36}
  • id: 10685405
    {'hecke_orbit_code': 687245099458, 'n': 12, 'trace_an': 0}
  • id: 10685406
    {'hecke_orbit_code': 687245099458, 'n': 13, 'trace_an': 0}
  • id: 10685407
    {'hecke_orbit_code': 687245099458, 'n': 14, 'trace_an': -72}
  • id: 10685408
    {'hecke_orbit_code': 687245099458, 'n': 15, 'trace_an': 0}
  • id: 10685409
    {'hecke_orbit_code': 687245099458, 'n': 16, 'trace_an': -16}
  • id: 10685410
    {'hecke_orbit_code': 687245099458, 'n': 17, 'trace_an': 0}
  • id: 10685411
    {'hecke_orbit_code': 687245099458, 'n': 18, 'trace_an': 0}
  • id: 10685412
    {'hecke_orbit_code': 687245099458, 'n': 19, 'trace_an': 80}
  • id: 10685413
    {'hecke_orbit_code': 687245099458, 'n': 20, 'trace_an': 0}
  • id: 10685414
    {'hecke_orbit_code': 687245099458, 'n': 21, 'trace_an': -84}
  • id: 10685415
    {'hecke_orbit_code': 687245099458, 'n': 22, 'trace_an': 0}
  • id: 10685416
    {'hecke_orbit_code': 687245099458, 'n': 23, 'trace_an': 0}
  • id: 10685417
    {'hecke_orbit_code': 687245099458, 'n': 24, 'trace_an': 0}
  • id: 10685418
    {'hecke_orbit_code': 687245099458, 'n': 25, 'trace_an': 0}
  • id: 10685419
    {'hecke_orbit_code': 687245099458, 'n': 26, 'trace_an': 0}
  • id: 10685420
    {'hecke_orbit_code': 687245099458, 'n': 27, 'trace_an': 0}
  • id: 10685421
    {'hecke_orbit_code': 687245099458, 'n': 28, 'trace_an': 0}
  • id: 10685422
    {'hecke_orbit_code': 687245099458, 'n': 29, 'trace_an': -36}
  • id: 10685423
    {'hecke_orbit_code': 687245099458, 'n': 30, 'trace_an': 0}
  • id: 10685424
    {'hecke_orbit_code': 687245099458, 'n': 31, 'trace_an': 76}
  • id: 10685425
    {'hecke_orbit_code': 687245099458, 'n': 32, 'trace_an': 0}
  • id: 10685426
    {'hecke_orbit_code': 687245099458, 'n': 33, 'trace_an': 0}
  • id: 10685427
    {'hecke_orbit_code': 687245099458, 'n': 34, 'trace_an': -48}
  • id: 10685428
    {'hecke_orbit_code': 687245099458, 'n': 35, 'trace_an': 0}
  • id: 10685429
    {'hecke_orbit_code': 687245099458, 'n': 36, 'trace_an': 24}
  • id: 10685430
    {'hecke_orbit_code': 687245099458, 'n': 37, 'trace_an': 0}
  • id: 10685431
    {'hecke_orbit_code': 687245099458, 'n': 38, 'trace_an': 0}
  • id: 10685432
    {'hecke_orbit_code': 687245099458, 'n': 39, 'trace_an': 204}
  • id: 10685433
    {'hecke_orbit_code': 687245099458, 'n': 40, 'trace_an': 0}
  • id: 10685434
    {'hecke_orbit_code': 687245099458, 'n': 41, 'trace_an': -252}
  • id: 10685435
    {'hecke_orbit_code': 687245099458, 'n': 42, 'trace_an': 0}
  • id: 10685436
    {'hecke_orbit_code': 687245099458, 'n': 43, 'trace_an': 0}
  • id: 10685437
    {'hecke_orbit_code': 687245099458, 'n': 44, 'trace_an': 0}
  • id: 10685438
    {'hecke_orbit_code': 687245099458, 'n': 45, 'trace_an': 0}
  • id: 10685439
    {'hecke_orbit_code': 687245099458, 'n': 46, 'trace_an': -48}
  • id: 10685440
    {'hecke_orbit_code': 687245099458, 'n': 47, 'trace_an': 0}
  • id: 10685441
    {'hecke_orbit_code': 687245099458, 'n': 48, 'trace_an': 0}
  • id: 10685442
    {'hecke_orbit_code': 687245099458, 'n': 49, 'trace_an': 24}
  • id: 10685443
    {'hecke_orbit_code': 687245099458, 'n': 50, 'trace_an': 0}
  • id: 10685444
    {'hecke_orbit_code': 687245099458, 'n': 51, 'trace_an': -144}
  • id: 10685445
    {'hecke_orbit_code': 687245099458, 'n': 52, 'trace_an': 0}
  • id: 10685446
    {'hecke_orbit_code': 687245099458, 'n': 53, 'trace_an': 0}
  • id: 10685447
    {'hecke_orbit_code': 687245099458, 'n': 54, 'trace_an': -72}
  • id: 10685448
    {'hecke_orbit_code': 687245099458, 'n': 55, 'trace_an': 0}
  • id: 10685449
    {'hecke_orbit_code': 687245099458, 'n': 56, 'trace_an': 144}
  • id: 10685450
    {'hecke_orbit_code': 687245099458, 'n': 57, 'trace_an': 0}
  • id: 10685451
    {'hecke_orbit_code': 687245099458, 'n': 58, 'trace_an': 0}
  • id: 10685452
    {'hecke_orbit_code': 687245099458, 'n': 59, 'trace_an': -252}
  • id: 10685453
    {'hecke_orbit_code': 687245099458, 'n': 60, 'trace_an': 0}
  • id: 10685454
    {'hecke_orbit_code': 687245099458, 'n': 61, 'trace_an': 124}
  • id: 10685455
    {'hecke_orbit_code': 687245099458, 'n': 62, 'trace_an': 0}
  • id: 10685456
    {'hecke_orbit_code': 687245099458, 'n': 63, 'trace_an': 0}
  • id: 10685457
    {'hecke_orbit_code': 687245099458, 'n': 64, 'trace_an': 64}
  • id: 10685458
    {'hecke_orbit_code': 687245099458, 'n': 65, 'trace_an': 0}
  • id: 10685459
    {'hecke_orbit_code': 687245099458, 'n': 66, 'trace_an': -144}
  • id: 10685460
    {'hecke_orbit_code': 687245099458, 'n': 67, 'trace_an': 0}
  • id: 10685461
    {'hecke_orbit_code': 687245099458, 'n': 68, 'trace_an': 0}
  • id: 10685462
    {'hecke_orbit_code': 687245099458, 'n': 69, 'trace_an': -36}
  • id: 10685463
    {'hecke_orbit_code': 687245099458, 'n': 70, 'trace_an': 0}
  • id: 10685464
    {'hecke_orbit_code': 687245099458, 'n': 71, 'trace_an': 0}
  • id: 10685465
    {'hecke_orbit_code': 687245099458, 'n': 72, 'trace_an': 0}
  • id: 10685466
    {'hecke_orbit_code': 687245099458, 'n': 73, 'trace_an': 0}
  • id: 10685467
    {'hecke_orbit_code': 687245099458, 'n': 74, 'trace_an': -144}
  • id: 10685468
    {'hecke_orbit_code': 687245099458, 'n': 75, 'trace_an': 0}
  • id: 10685469
    {'hecke_orbit_code': 687245099458, 'n': 76, 'trace_an': -80}
  • id: 10685470
    {'hecke_orbit_code': 687245099458, 'n': 77, 'trace_an': 0}
  • id: 10685471
    {'hecke_orbit_code': 687245099458, 'n': 78, 'trace_an': 0}
  • id: 10685472
    {'hecke_orbit_code': 687245099458, 'n': 79, 'trace_an': -28}
  • id: 10685473
    {'hecke_orbit_code': 687245099458, 'n': 80, 'trace_an': 0}
  • id: 10685474
    {'hecke_orbit_code': 687245099458, 'n': 81, 'trace_an': -504}
  • id: 10685475
    {'hecke_orbit_code': 687245099458, 'n': 82, 'trace_an': 0}
  • id: 10685476
    {'hecke_orbit_code': 687245099458, 'n': 83, 'trace_an': 0}
  • id: 10685477
    {'hecke_orbit_code': 687245099458, 'n': 84, 'trace_an': 288}
  • id: 10685478
    {'hecke_orbit_code': 687245099458, 'n': 85, 'trace_an': 0}
  • id: 10685479
    {'hecke_orbit_code': 687245099458, 'n': 86, 'trace_an': -216}
  • id: 10685480
    {'hecke_orbit_code': 687245099458, 'n': 87, 'trace_an': 0}
  • id: 10685481
    {'hecke_orbit_code': 687245099458, 'n': 88, 'trace_an': 0}
  • id: 10685482
    {'hecke_orbit_code': 687245099458, 'n': 89, 'trace_an': 0}
  • id: 10685483
    {'hecke_orbit_code': 687245099458, 'n': 90, 'trace_an': 0}
  • id: 10685484
    {'hecke_orbit_code': 687245099458, 'n': 91, 'trace_an': 824}
  • id: 10685485
    {'hecke_orbit_code': 687245099458, 'n': 92, 'trace_an': 0}
  • id: 10685486
    {'hecke_orbit_code': 687245099458, 'n': 93, 'trace_an': 0}
  • id: 10685487
    {'hecke_orbit_code': 687245099458, 'n': 94, 'trace_an': -168}
  • id: 10685488
    {'hecke_orbit_code': 687245099458, 'n': 95, 'trace_an': 0}
  • id: 10685489
    {'hecke_orbit_code': 687245099458, 'n': 96, 'trace_an': 96}
  • id: 10685490
    {'hecke_orbit_code': 687245099458, 'n': 97, 'trace_an': 0}
  • id: 10685491
    {'hecke_orbit_code': 687245099458, 'n': 98, 'trace_an': 0}
  • id: 10685492
    {'hecke_orbit_code': 687245099458, 'n': 99, 'trace_an': -252}
  • id: 10685493
    {'hecke_orbit_code': 687245099458, 'n': 100, 'trace_an': 0}
  • id: 10685494
    {'hecke_orbit_code': 687245099458, 'n': 101, 'trace_an': -36}
  • id: 10685495
    {'hecke_orbit_code': 687245099458, 'n': 103, 'trace_an': 0}
  • id: 10685496
    {'hecke_orbit_code': 687245099458, 'n': 107, 'trace_an': 0}
  • id: 10685497
    {'hecke_orbit_code': 687245099458, 'n': 109, 'trace_an': 128}
  • id: 10685498
    {'hecke_orbit_code': 687245099458, 'n': 113, 'trace_an': 0}
  • id: 10685499
    {'hecke_orbit_code': 687245099458, 'n': 121, 'trace_an': -304}
  • id: 10685500
    {'hecke_orbit_code': 687245099458, 'n': 125, 'trace_an': 0}
  • id: 10685501
    {'hecke_orbit_code': 687245099458, 'n': 127, 'trace_an': 0}
  • id: 10685502
    {'hecke_orbit_code': 687245099458, 'n': 128, 'trace_an': 0}
  • id: 10685503
    {'hecke_orbit_code': 687245099458, 'n': 131, 'trace_an': 828}
  • id: 10685504
    {'hecke_orbit_code': 687245099458, 'n': 137, 'trace_an': 0}
  • id: 10685505
    {'hecke_orbit_code': 687245099458, 'n': 139, 'trace_an': 44}
  • id: 10685506
    {'hecke_orbit_code': 687245099458, 'n': 149, 'trace_an': -36}
  • id: 10685507
    {'hecke_orbit_code': 687245099458, 'n': 151, 'trace_an': 700}
  • id: 10685508
    {'hecke_orbit_code': 687245099458, 'n': 157, 'trace_an': 0}
  • id: 10685509
    {'hecke_orbit_code': 687245099458, 'n': 163, 'trace_an': 0}
  • id: 10685510
    {'hecke_orbit_code': 687245099458, 'n': 167, 'trace_an': 0}
  • id: 10685511
    {'hecke_orbit_code': 687245099458, 'n': 169, 'trace_an': 288}
  • id: 10685512
    {'hecke_orbit_code': 687245099458, 'n': 173, 'trace_an': 0}
  • id: 10685513
    {'hecke_orbit_code': 687245099458, 'n': 179, 'trace_an': 0}
  • id: 10685514
    {'hecke_orbit_code': 687245099458, 'n': 181, 'trace_an': 1120}
  • id: 10685515
    {'hecke_orbit_code': 687245099458, 'n': 191, 'trace_an': -36}
  • id: 10685516
    {'hecke_orbit_code': 687245099458, 'n': 193, 'trace_an': 0}
  • id: 10685517
    {'hecke_orbit_code': 687245099458, 'n': 197, 'trace_an': 0}
  • id: 10685518
    {'hecke_orbit_code': 687245099458, 'n': 199, 'trace_an': -640}
  • id: 10685519
    {'hecke_orbit_code': 687245099458, 'n': 211, 'trace_an': 412}
  • id: 10685520
    {'hecke_orbit_code': 687245099458, 'n': 223, 'trace_an': 0}
  • id: 10685521
    {'hecke_orbit_code': 687245099458, 'n': 227, 'trace_an': 0}
  • id: 10685522
    {'hecke_orbit_code': 687245099458, 'n': 229, 'trace_an': 572}
  • id: 10685523
    {'hecke_orbit_code': 687245099458, 'n': 233, 'trace_an': 0}
  • id: 10685524
    {'hecke_orbit_code': 687245099458, 'n': 239, 'trace_an': 108}
  • id: 10685525
    {'hecke_orbit_code': 687245099458, 'n': 241, 'trace_an': -572}
  • id: 10685526
    {'hecke_orbit_code': 687245099458, 'n': 243, 'trace_an': 0}
  • id: 10685527
    {'hecke_orbit_code': 687245099458, 'n': 251, 'trace_an': 0}
  • id: 10685528
    {'hecke_orbit_code': 687245099458, 'n': 256, 'trace_an': -64}
  • id: 10685529
    {'hecke_orbit_code': 687245099458, 'n': 257, 'trace_an': 0}
  • id: 10685530
    {'hecke_orbit_code': 687245099458, 'n': 263, 'trace_an': 0}
  • id: 10685531
    {'hecke_orbit_code': 687245099458, 'n': 269, 'trace_an': 0}
  • id: 10685532
    {'hecke_orbit_code': 687245099458, 'n': 271, 'trace_an': -272}
  • id: 10685533
    {'hecke_orbit_code': 687245099458, 'n': 277, 'trace_an': 0}
  • id: 10685534
    {'hecke_orbit_code': 687245099458, 'n': 281, 'trace_an': -1260}
  • id: 10685535
    {'hecke_orbit_code': 687245099458, 'n': 283, 'trace_an': 0}
  • id: 10685536
    {'hecke_orbit_code': 687245099458, 'n': 289, 'trace_an': -872}
  • id: 10685537
    {'hecke_orbit_code': 687245099458, 'n': 293, 'trace_an': 0}
  • id: 10685538
    {'hecke_orbit_code': 687245099458, 'n': 307, 'trace_an': 0}
  • id: 10685539
    {'hecke_orbit_code': 687245099458, 'n': 311, 'trace_an': -1116}
  • id: 10685540
    {'hecke_orbit_code': 687245099458, 'n': 313, 'trace_an': 0}
  • id: 10685541
    {'hecke_orbit_code': 687245099458, 'n': 317, 'trace_an': 0}
  • id: 10685542
    {'hecke_orbit_code': 687245099458, 'n': 331, 'trace_an': -980}
  • id: 10685543
    {'hecke_orbit_code': 687245099458, 'n': 337, 'trace_an': 0}
  • id: 10685544
    {'hecke_orbit_code': 687245099458, 'n': 343, 'trace_an': 0}
  • id: 10685545
    {'hecke_orbit_code': 687245099458, 'n': 347, 'trace_an': 0}
  • id: 10685546
    {'hecke_orbit_code': 687245099458, 'n': 349, 'trace_an': 428}
  • id: 10685547
    {'hecke_orbit_code': 687245099458, 'n': 353, 'trace_an': 0}
  • id: 10685548
    {'hecke_orbit_code': 687245099458, 'n': 359, 'trace_an': 0}
  • id: 10685549
    {'hecke_orbit_code': 687245099458, 'n': 361, 'trace_an': -360}
  • id: 10685550
    {'hecke_orbit_code': 687245099458, 'n': 367, 'trace_an': 0}
  • id: 10685551
    {'hecke_orbit_code': 687245099458, 'n': 373, 'trace_an': 0}
  • id: 10685552
    {'hecke_orbit_code': 687245099458, 'n': 379, 'trace_an': 2624}
  • id: 10685553
    {'hecke_orbit_code': 687245099458, 'n': 383, 'trace_an': 0}
  • id: 10685554
    {'hecke_orbit_code': 687245099458, 'n': 389, 'trace_an': 468}
  • id: 10685555
    {'hecke_orbit_code': 687245099458, 'n': 397, 'trace_an': 0}
  • id: 10685556
    {'hecke_orbit_code': 687245099458, 'n': 401, 'trace_an': 2340}
  • id: 10685557
    {'hecke_orbit_code': 687245099458, 'n': 409, 'trace_an': -1540}
  • id: 10685558
    {'hecke_orbit_code': 687245099458, 'n': 419, 'trace_an': 1836}
  • id: 10685559
    {'hecke_orbit_code': 687245099458, 'n': 421, 'trace_an': -1076}
  • id: 10685560
    {'hecke_orbit_code': 687245099458, 'n': 431, 'trace_an': 0}
  • id: 10685561
    {'hecke_orbit_code': 687245099458, 'n': 433, 'trace_an': 0}
  • id: 10685562
    {'hecke_orbit_code': 687245099458, 'n': 439, 'trace_an': -556}
  • id: 10685563
    {'hecke_orbit_code': 687245099458, 'n': 443, 'trace_an': 0}
  • id: 10685564
    {'hecke_orbit_code': 687245099458, 'n': 449, 'trace_an': 0}
  • id: 10685565
    {'hecke_orbit_code': 687245099458, 'n': 457, 'trace_an': 0}
  • id: 10685566
    {'hecke_orbit_code': 687245099458, 'n': 461, 'trace_an': -828}
  • id: 10685567
    {'hecke_orbit_code': 687245099458, 'n': 463, 'trace_an': 0}
  • id: 10685568
    {'hecke_orbit_code': 687245099458, 'n': 467, 'trace_an': 0}
  • id: 10685569
    {'hecke_orbit_code': 687245099458, 'n': 479, 'trace_an': -3348}
  • id: 10685570
    {'hecke_orbit_code': 687245099458, 'n': 487, 'trace_an': 0}
  • id: 10685571
    {'hecke_orbit_code': 687245099458, 'n': 491, 'trace_an': 4140}
  • id: 10685572
    {'hecke_orbit_code': 687245099458, 'n': 499, 'trace_an': 140}
  • id: 10685573
    {'hecke_orbit_code': 687245099458, 'n': 503, 'trace_an': 0}
  • id: 10685574
    {'hecke_orbit_code': 687245099458, 'n': 509, 'trace_an': -2340}
  • id: 10685575
    {'hecke_orbit_code': 687245099458, 'n': 512, 'trace_an': 0}
  • id: 10685576
    {'hecke_orbit_code': 687245099458, 'n': 521, 'trace_an': 0}
  • id: 10685577
    {'hecke_orbit_code': 687245099458, 'n': 523, 'trace_an': 0}
  • id: 10685578
    {'hecke_orbit_code': 687245099458, 'n': 529, 'trace_an': 1936}
  • id: 10685579
    {'hecke_orbit_code': 687245099458, 'n': 541, 'trace_an': -2192}
  • id: 10685580
    {'hecke_orbit_code': 687245099458, 'n': 547, 'trace_an': 0}
  • id: 10685581
    {'hecke_orbit_code': 687245099458, 'n': 557, 'trace_an': 0}
  • id: 10685582
    {'hecke_orbit_code': 687245099458, 'n': 563, 'trace_an': 0}
  • id: 10685583
    {'hecke_orbit_code': 687245099458, 'n': 569, 'trace_an': 36}
  • id: 10685584
    {'hecke_orbit_code': 687245099458, 'n': 571, 'trace_an': 28}
  • id: 10685585
    {'hecke_orbit_code': 687245099458, 'n': 577, 'trace_an': 0}
  • id: 10685586
    {'hecke_orbit_code': 687245099458, 'n': 587, 'trace_an': 0}
  • id: 10685587
    {'hecke_orbit_code': 687245099458, 'n': 593, 'trace_an': 0}
  • id: 10685588
    {'hecke_orbit_code': 687245099458, 'n': 599, 'trace_an': 5796}
  • id: 10685589
    {'hecke_orbit_code': 687245099458, 'n': 601, 'trace_an': 3004}
  • id: 10685590
    {'hecke_orbit_code': 687245099458, 'n': 607, 'trace_an': 0}
  • id: 10685591
    {'hecke_orbit_code': 687245099458, 'n': 613, 'trace_an': 0}
  • id: 10685592
    {'hecke_orbit_code': 687245099458, 'n': 617, 'trace_an': 0}
  • id: 10685593
    {'hecke_orbit_code': 687245099458, 'n': 619, 'trace_an': -700}
  • id: 10685594
    {'hecke_orbit_code': 687245099458, 'n': 625, 'trace_an': 0}
  • id: 10685595
    {'hecke_orbit_code': 687245099458, 'n': 631, 'trace_an': -464}
  • id: 10685596
    {'hecke_orbit_code': 687245099458, 'n': 641, 'trace_an': -1908}
  • id: 10685597
    {'hecke_orbit_code': 687245099458, 'n': 643, 'trace_an': 0}
  • id: 10685598
    {'hecke_orbit_code': 687245099458, 'n': 647, 'trace_an': 0}
  • id: 10685599
    {'hecke_orbit_code': 687245099458, 'n': 653, 'trace_an': 0}
  • id: 10685600
    {'hecke_orbit_code': 687245099458, 'n': 659, 'trace_an': 252}
  • id: 10685601
    {'hecke_orbit_code': 687245099458, 'n': 661, 'trace_an': -1580}
  • id: 10685602
    {'hecke_orbit_code': 687245099458, 'n': 673, 'trace_an': 0}
  • id: 10685603
    {'hecke_orbit_code': 687245099458, 'n': 677, 'trace_an': 0}
  • id: 10685604
    {'hecke_orbit_code': 687245099458, 'n': 683, 'trace_an': 0}
  • id: 10685605
    {'hecke_orbit_code': 687245099458, 'n': 691, 'trace_an': -2828}
  • id: 10685606
    {'hecke_orbit_code': 687245099458, 'n': 701, 'trace_an': 0}
  • id: 10685607
    {'hecke_orbit_code': 687245099458, 'n': 709, 'trace_an': -1396}
  • id: 10685608
    {'hecke_orbit_code': 687245099458, 'n': 719, 'trace_an': 0}
  • id: 10685609
    {'hecke_orbit_code': 687245099458, 'n': 727, 'trace_an': 0}
  • id: 10685610
    {'hecke_orbit_code': 687245099458, 'n': 729, 'trace_an': 4968}
  • id: 10685611
    {'hecke_orbit_code': 687245099458, 'n': 733, 'trace_an': 0}
  • id: 10685612
    {'hecke_orbit_code': 687245099458, 'n': 739, 'trace_an': -2176}
  • id: 10685613
    {'hecke_orbit_code': 687245099458, 'n': 743, 'trace_an': 0}
  • id: 10685614
    {'hecke_orbit_code': 687245099458, 'n': 751, 'trace_an': 964}
  • id: 10685615
    {'hecke_orbit_code': 687245099458, 'n': 757, 'trace_an': 0}
  • id: 10685616
    {'hecke_orbit_code': 687245099458, 'n': 761, 'trace_an': -4428}
  • id: 10685617
    {'hecke_orbit_code': 687245099458, 'n': 769, 'trace_an': -628}
  • id: 10685618
    {'hecke_orbit_code': 687245099458, 'n': 773, 'trace_an': 0}
  • id: 10685619
    {'hecke_orbit_code': 687245099458, 'n': 787, 'trace_an': 0}
  • id: 10685620
    {'hecke_orbit_code': 687245099458, 'n': 797, 'trace_an': 0}
  • id: 10685621
    {'hecke_orbit_code': 687245099458, 'n': 809, 'trace_an': 0}
  • id: 10685622
    {'hecke_orbit_code': 687245099458, 'n': 811, 'trace_an': 592}
  • id: 10685623
    {'hecke_orbit_code': 687245099458, 'n': 821, 'trace_an': 1044}
  • id: 10685624
    {'hecke_orbit_code': 687245099458, 'n': 823, 'trace_an': 0}
  • id: 10685625
    {'hecke_orbit_code': 687245099458, 'n': 827, 'trace_an': 0}
  • id: 10685626
    {'hecke_orbit_code': 687245099458, 'n': 829, 'trace_an': -7840}
  • id: 10685627
    {'hecke_orbit_code': 687245099458, 'n': 839, 'trace_an': 324}
  • id: 10685628
    {'hecke_orbit_code': 687245099458, 'n': 841, 'trace_an': -2968}
  • id: 10685629
    {'hecke_orbit_code': 687245099458, 'n': 853, 'trace_an': 0}
  • id: 10685630
    {'hecke_orbit_code': 687245099458, 'n': 857, 'trace_an': 0}
  • id: 10685631
    {'hecke_orbit_code': 687245099458, 'n': 859, 'trace_an': 980}
  • id: 10685632
    {'hecke_orbit_code': 687245099458, 'n': 863, 'trace_an': 0}
  • id: 10685633
    {'hecke_orbit_code': 687245099458, 'n': 877, 'trace_an': 0}
  • id: 10685634
    {'hecke_orbit_code': 687245099458, 'n': 881, 'trace_an': 0}
  • id: 10685635
    {'hecke_orbit_code': 687245099458, 'n': 883, 'trace_an': 0}
  • id: 10685636
    {'hecke_orbit_code': 687245099458, 'n': 887, 'trace_an': 0}
  • id: 10685637
    {'hecke_orbit_code': 687245099458, 'n': 907, 'trace_an': 0}
  • id: 10685638
    {'hecke_orbit_code': 687245099458, 'n': 911, 'trace_an': 1188}
  • id: 10685639
    {'hecke_orbit_code': 687245099458, 'n': 919, 'trace_an': -304}
  • id: 10685640
    {'hecke_orbit_code': 687245099458, 'n': 929, 'trace_an': -3348}
  • id: 10685641
    {'hecke_orbit_code': 687245099458, 'n': 937, 'trace_an': 0}
  • id: 10685642
    {'hecke_orbit_code': 687245099458, 'n': 941, 'trace_an': 1980}
  • id: 10685643
    {'hecke_orbit_code': 687245099458, 'n': 947, 'trace_an': 0}
  • id: 10685644
    {'hecke_orbit_code': 687245099458, 'n': 953, 'trace_an': 0}
  • id: 10685645
    {'hecke_orbit_code': 687245099458, 'n': 961, 'trace_an': 456}
  • id: 10685646
    {'hecke_orbit_code': 687245099458, 'n': 967, 'trace_an': 0}
  • id: 10685647
    {'hecke_orbit_code': 687245099458, 'n': 971, 'trace_an': 0}
  • id: 10685648
    {'hecke_orbit_code': 687245099458, 'n': 977, 'trace_an': 0}
  • id: 10685649
    {'hecke_orbit_code': 687245099458, 'n': 983, 'trace_an': 0}
  • id: 10685650
    {'hecke_orbit_code': 687245099458, 'n': 991, 'trace_an': 5200}
  • id: 10685651
    {'hecke_orbit_code': 687245099458, 'n': 997, 'trace_an': 0}