Newform data - 50.9.c.e

Formats: - HTML - YAML - JSON - 2025-10-05T02:42:59.060338

• 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': 20.36893050305636, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [50, 4, [27], [1]], 'cm_discs': [], 'conrey_index': 7, 'dim': 4, 'field_disc': 992016, 'field_disc_factorization': [[2, 4], [3, 2], [83, 2]], 'field_poly': [3844, 0, 125, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [7551504, -148392, 1458, 54, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014536099430450, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 50, 'hecke_ring_index_factorization': [[2, 1], [5, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '50.9.c.e', 'level': 50, '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, 5], 'level_radical': 10, 'minimal_twist': '10.9.c.a', 'nf_label': '4.0.992016.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(8+8\\beta _{1})q^{2}+(-14+13\\beta _{1}-\\beta _{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '8.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50.9.c', 'trace_display': [32, -54, 0, 1186], 'trace_hash': 1122077946651951860, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.866', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.360', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1289.510', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.247', 'prec': 17}, 'traces': [4, 32, -54, 0, 0, -864, 1186, -4096, 0, 0, -19852, -6912, -73704, 0, 0, -65536, -198944, -98688, 0, 0, -766572, -158816, -631334, 0, 0, -1179264, -184680, -151808, 0, 0, -2329892, -524288, -1362948, 0, 0, -1579008, 976356, 1144000, 0, 0, -4284652, -6132576, -7146534, 0, 0, -10101344, 3300186, 884736, 0, 0, 6541788, -9434112, -9989164, 0, 0, -2428928, 19136400, 19957760, 0, 0, 85377108, -18639136, 16175226, 0, 0, -21807168, 57195466, 25464832, 0, 0, 113004028, -12632064, 60875756, 0, 0, 18304000, 90339932, 40023264, 0, 0, 35054064, -34277216, -71051214, 0, 0, -114344544, -58152480, 20328448, 0, 0, -221467572, -80810752, -98985108, 0, 0, 14155776, -139631604, -167860352, 0, 0, -199287632, 52334304, -281626294, 0, 0, -159826624, -107636534, 23639040, 0, 0, -582577812, -19431424, -45935344, 0, 0, 319324160, -145954836, -255810880, 0, 0, -331601148, 683016864, 547339452, 0, 0, 258803616, -422274734, 67108864, 0, 0, 855752228, -174457344, 1057547600, 0, 0, 407437312, 452995836, -130460256, 0, 0, 887485428, 904032224, -28896948, 0, 0, 974012096, -718852494, -124973568, 0, 0, -853480292, 146432000, 581945196, 0, 0, 640372224, 213780936, -356712960, 0, 0, 1593478388, 280432512, -1397638934, 0, 0, -1136819424, 618123866, 784969728, 0, 0, -488106600, -914756352, 942694276, 0, 0, 325255168, -940163760, 72098560, 0, 0, -2369535592, -1771740576, -972053508, 0, 0, -1583761728, 834049772, -422423808, 0, 0, 833442268, 113246208, -312940704, 0, 0, -2685765632, 3024234516, 1194358944, 0, 0, -1161402732, -1594301056, -4678356320, 0, 0, -4506020704, -2847579906, 1207566336, 0, 0, -4514023372, -1278612992, -1186777428, 0, 0, 378224640, 7005067372, 960730400, 0, 0, 7614696888, -4660622496, -6339872814, 0, 0, -734965504, -6627214894, -2449459200, 0, 0, 239240136, 2554593280, 9646520256, 0, 0, -4092974080, 1642433280, 1496171936, 0, 0, 10080745588, -2652809184, -3540397734, 0, 0, 8757431232, 6798745800, 2385809408, 0, 0, -81052092, 2070428928, 7502625692, 0, 0, 1073741824, 1789822256, 7168362144, 0, 0, 12652601280, 6846017824, 6014835026, 0, 0, 16920761600, -1143751680, -7321019648, 0, 0, -6206675892, 3259498496, 17417955372, 0, 0, -2087364096, 11724000936, -5581860160, 0, 0, 164868468, 7099883424, -14964708254, 0, 0, -462351168, -30150701668, 1616904192, 0, 0, 1807435308, 7792096768, 15591839496, 0, 0, -1999577088, -13624983360, -7795322400, 0, 0, -45720136812, -6827842336, -17720371068, 0, 0, 9311123136, -5347879254, -11563511296, 0, 0, -47542175732, 5122977792, -21733456464, 0, 0, -5707407360, -14135927784, -13558025376, 0, 0, 13745069268, 12747827104, -8729602600, 0, 0, -22362222944, -17847567000, 4387483648, 0, 0, -57944938412, -9094555392, 12006755496, 0, 0, 12559515648, 13721365596, 1458709792, 0, 0, 45738180296, -3904852800, -25083971160, 0, 0, 15083108416, 5482250626, 7443517440, 0, 0, 33668843760, 2602041344, 51062177436, 0, 0, 1153576960, 39405362892, 7782268480, 0, 0, 15264894564, -18956284736, 20665425198, 0, 0, -15552856128, 31357852306, 10343776256, 0, 0, 109979601148, -12670093824, -22998194524, 0, 0, -6758780928, 23744560320, 53270104320, 0, 0, -18239380332, 6667538144, 35020063506, 0, 0, -5007051264, -3056511906, 17872845312, 0, 0, 59664821948, -21486125056, -38314963428, 0, 0, 19109743104, 6542473076, -39933759360, 0, 0, 16989835848, -9291221856, 11364436692, 0, 0, -74853701120, 68018667372, -6698790912, 0, 0, 18877379628, -36048165632, -39481481840, 0, 0, 19321061376, -45062767920, 30385894400, 0, 0, 31544164148, -36112186976, -36545715774, 0, 0, -18988438848, 14662602972, 13777476352, 0, 0, -66726566932, 3025797120, 5255458156, 0, 0, 15371686400, -23524415600, -21667752096, 0, 0, -41188405596, 60917575104, -41819137374, 0, 0, -101437965024, -63468853800, 2487222272, 0, 0, -106983394424, -5879724032, -17803804308, 0, 0, -39191347200, -19559122704, -66230304000, 0, 0, -80647851472, 1913921088, 72334544746, 0, 0, 154344324096, 134502361666, 18682219008, 0, 0, -90724585572, -32743792640, -56636391108, 0, 0, 23938750976, -83847017976, 10640542080, 0, 0, -170584991712, 80645964704, 84535311612, 0, 0, -56646363744, -251766561294, -87426158592, 0, 0, 188988303028, 70059449856, -115445261120, 0, 0, 38172950528, 13517854252, 31478776224, 0, 0, -140056979532, -648416736, 259367551626, 0, 0, 120042011072, 113492963574, 54051165952, 0, 0, 98923915708, 8589934592, -160010114400, 0, 0, 114693794304, -144312172068, -267165879264, 0, 0, 82789062048, 101220810240, 2393509746, 0, 0, 96237360416, 103618275412, 22330540032, 0, 0, -71157017640, 135366092800, 197407187052, 0, 0, -117136314368, -173743092240, 180150537440, 0, 0, 182411254768, -49653407136, 3136951092, 0, 0, 278687285952, 54986011506, -57983467008, 0, 0, 164635196800, -16698912768, 119198123520, 0, 0, -89309762560, 188380607076, 113832592224, 0, 0, 133906315656, 1318947744, 144362529786, 0, 0, -239435332064, 262845877626, -115716124672, 0, 0, 276924894548, -3698809344, -66116491668, 0, 0, 25870467072, -283835816944, 64029311968, 0, 0, -161104760652, 14459482464, 306920559532, 0, 0, 249469431936, -105078837534, 92013119232, 0, 0, -281803669332, -15996616704, -338108909924, 0, 0, -124725158400, 157938902880, 121554891744, 0, 0, -85765936972, -365761094496, -186728438094, 0, 0, -283525937088, 63162033306, -18743296000, 0, 0, 114716434428, 74488985088, -549664642344, 0, 0, -185016180736, 448236434496, 8416281504, 0, 0, -239082870240, -380337405856, -71987509120, 0, 0, -347735303424, 24189777600, -27363959808, 0, 0, -69304666292, -45659258880, -51231636228, 0, 0, -216928406016, -492036688044, -291528558080, 0, 0, -719964920012, 109960554144, -485497979934, 0, 0, -139673641600, -209194702414, -35895361536, 0, 0, 161368603656, -178897783552, 139542178836, 0, 0, 70199738368, 158990594304, 445294610016, 0, 0, 463191198068, -463559507296, -274211950188, 0, 0, 192108087936, 639766173920, -79119854848, 0, 0, -471027398904, 100476125184, 22800181676, 0, 0, 23339356672, -336441035084, 276946247904, 0, 0, 507370147188, 365905442368, 851376301146, 0, 0, -401343538560, -558885866400, 117088813056, 0, 0, 889407040788, 120664867328, -350925644388, 0, 0, 119096279040, 259114136972, -329368997120, 0, 0, 743754681428, 269350750080, 803595515400, 0, 0, 816994838976, 1145145709012, 120340961280, 0, 0, -258709711680, 9228615680, 717180152332, 0, 0, 124516295680, 688146536160, -187378814720, 0, 0, 219556217908, 122119156512, -657582157188, 0, 0, 330646803168, -1195956742014, 226782793728, 0, 0, 776970381948, -124422849024, 1223604220676, 0, 0, 165500420096, -334017703108, -105751618656, 0, 0, -925349138400, 879836809184, -587473901854, 0, 0, -367971112384, -164677409226, -106758370816, 0, 0, -398608178532, -54070247424, 631997766492, 0, 0, 852321669120, 483034750056, -412041448640, 0, 0, 258873299048, -145915042656, -1113052103000, 0, 0, 560321016096, -712249271160, -14495514624, 0, 0, -468222192612, -40056410112, 235931557176, 0, 0, 285965524992, -795056099508, 76806385440, 0, 0, -649598551864, 477318575584, 703585756800, 0, 0, -613039414848, -1026774906214, -387102018048, 0, 0, -1996543234292, 152877944832, -1529468529108, 0, 0, -638940149760, -606568207944, -520136371200, 0, 0, 96126566880, 135918686784, -162634485428, 0, 0, 181830987072, 349067441880, 204070535168, 0, 0, -1684120864252, -598829608960, 92097847692, 0, 0, -107180654592, 1227157381200, -659318063520, 0, 0, 472043731988, 151019037024, -529429779014, 0, 0, -631703709440, 512025593826, 364490227968, 0, 0, 80578414428, 154568491008, 1084533094484, 0, 0, 486174310400, -1055419889760, 189642490560, 0, 0, -909615180156, 252353313184, -1462204792068, 0, 0, -584731452384, -1053459512682, 163662462976, 0, 0, 1181899830348, -151907510784, 1888339614296, 0, 0, 220439621632, 1725245093916, 367447714368, 0, 0, 1891163240136, -533812535456, -528433743014, 0, 0, 84087330496, -8362617654, -896648623616, 0, 0, -2015111599332, 122973491200, 483614552736, 0, 0, -346684033536, 1469037016296, 1217935673600, 0, 0, 1695734034068, -329507244768, -1180955348614, 0, 0, -669106197984, -2074141481454, 596559679488, 0, 0, 947086258068, -811503720192, -1231666352400, 0, 0, 39795556352, 66087919668, 151548617120, 0, 0, 808982825008, -855867155392, 2138059328412, 0, 0, -284860868928, 3229063761866, 848283506432, 0, 0, 2137220131228, -313530777600, 88470358332, 0, 0, -1059684864000, 1832706728252, -230439070080, 0, 0, 454140585108, -645182811776, -2000228198028, 0, 0, 1157352715936, -1045436108946, -326987939840, 0, 0, 1954091594600, 1234754592768, 1056124782732, 0, 0, 298915504128, -1492581747904, -90618361504, 0, 0, -135868538472, -725796684576, -635099903908, 0, 0, -906182257728, 2007240391946, -210231459840, 0, 0, -427818765732, 191510007808, 1629239963376, 0, 0, 170248673280, 980994699840, 2108464776320, 0, 0, 678746505252, -1364679933696, 39301233906, 0, 0, 1352564985792, 517825212746, 339559575552, 0, 0, 3806638136548, -453170909952, -2309837047280, 0, 0, -1398818537472, -1323131789364, 17271555744, 0, 0, 1421676744900, 1511906424224, 1178205345506, 0, 0, -1847124177920, 434955816252, -870239462400, 0, 0, -4979631127412, 305383604224, -299525960388, 0, 0, 503660419584, 590024805176, 568010517440, 0, 0], 'weight': 9, 'weight_parity': -1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0, 0, 0], [8, 8, 0, 0], [-14, 13, 0, -1], [0, 128, 0, 0], [0, 0, 0, 0], [-224, -8, 8, -8], [326, 326, -59, 0], [-1024, 1024, 0, 0], [0, 3084, 27, 27], [0, 0, 0, 0], [-4832, 131, -131, 131], [-1792, -1792, 128, 0], [-18547, 18305, 0, -242], [0, 4744, -472, -472], [0, 0, 0, 0], [-16384, 0, 0, 0], [-49783, -49783, 94, 0], [-24456, 24888, 0, 432], [0, -35750, 1382, 1382], [0, 0, 0, 0], [-192736, -1093, 1093, -1093], [-38656, -38656, -2096, 0], [-156494, 159173, 0, 2679], [0, -27648, 1024, 1024], [0, 0, 0, 0], [-296752, -1936, 1936, -1936], [-50628, -50628, 8916, 0], [-41728, 34176, 0, -7552], [0, -623680, -7376, -7376], [0, 0, 0, 0], [-571996, 10477, -10477, 10477], [-131072, -131072, 0, 0], [-340024, 341450, 0, 1426], [0, -795776, 752, 752], [0, 0, 0, 0], [-391296, 3456, -3456, 3456], [266427, 266427, -44676, 0], [297056, -274944, 0, 22112], [0, -1250727, 21693, 21693], [0, 0, 0, 0], [-1110480, -39317, 39317, -39317], [-1541888, -1541888, 17488, 0], [-1814870, 1758397, 0, -56473], [0, -635264, -16768, -16768], [0, 0, 0, 0], [-2503904, 21432, -21432, 21432], [785826, 785826, 78441, 0], [229376, -212992, 0, 16384], [0, 5245636, -34987, -34987], [0, 0, 0, 0], [1686452, 51005, -51005, 51005], [-2374016, -2374016, 30976, 0], [-2418397, 2576185, 0, 157788], [0, -738720, 71328, 71328], [0, 0, 0, 0], [-667648, -60416, 60416, -60416], [4820632, 4820632, -73064, 0], [4930432, -5048448, 0, -118016], [0, 7994090, -40842, -40842], [0, 0, 0, 0], [21329776, -14501, 14501, -14501], [-4575968, -4575968, -167632, 0], [3960834, -4126779, 0, -165945], [0, -2097152, 0, 0], [0, 0, 0, 0], [-5440384, 11408, -11408, 11408], [14283490, 14283490, 30753, 0], [6372224, -6360192, 0, 12032], [0, 4076883, 121667, 121667], [0, 0, 0, 0], [28223796, -27211, 27211, -27211], [-3130368, -3130368, -55296, 0], [15261703, -15176175, 0, 85528], [0, 3905424, -357408, -357408], [0, 0, 0, 0], [4752896, 176896, -176896, 176896], [22477416, 22477416, 215134, 0], [10179360, -9832272, 0, 347088], [0, 11147280, 180272, 180272], [0, 0, 0, 0], [9107199, 343683, -343683, 343683], [-8883840, -8883840, 629072, 0], [-17843786, 17681821, 0, -161965], [0, -24530304, 139904, 139904], [0, 0, 0, 0], [-29037920, -451784, 451784, -451784], [-14325856, -14325856, -424528, 0], [4947968, -5216256, 0, -268288], [0, -2253080, -101640, -101640], [0, 0, 0, 0], [-56525780, -1158887, 1158887, -1158887], [-20031232, -20031232, -342912, 0], [-24596480, 24896074, 0, 299594], [0, 13200744, 627528, 627528], [0, 0, 0, 0], [3670016, 131072, -131072, 131072], [-34829081, -34829081, -157640, 0], [-42244984, 41685192, 0, -559792], [0, -37323717, -538005, -538005], [0, 0, 0, 0]], 'ap': [[8, 8, 0, 0], [-14, 13, 0, -1], [0, 0, 0, 0], [326, 326, -59, 0], [-4832, 131, -131, 131], [-18547, 18305, 0, -242], [-49783, -49783, 94, 0], [0, -35750, 1382, 1382], [-156494, 159173, 0, 2679], [0, -623680, -7376, -7376], [-571996, 10477, -10477, 10477], [266427, 266427, -44676, 0], [-1110480, -39317, 39317, -39317], [-1814870, 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-2317412, 2317412], [212767396, 4406829, -4406829, 4406829], [-79433431, 77036921, 0, -2396510], [764096755, 764096755, -16076252, 0], [0, 1247929980, 18098564, 18098564], [-1119496128, 9009715, -9009715, 9009715], [-1579962418, 1589973989, 0, 10011571], [-1669993898, -1669993898, 26380349, 0], [0, 2069697000, -35913432, -35913432], [2414041225, -2409218903, 0, 4822322], [0, -332516940, 53830572, 53830572], [2562073312, 41886915, -41886915, 41886915], [-70938008, -50674985, 50674985, -50674985], [464318897, 464318897, -33726666, 0], [1460876702, -1546540811, 0, -85664109], [0, -5629704295, 3619551, 3619551], [-1552336260, -667287, 667287, -667287], [2915051381, 2915051381, 31897706, 0], [158484512, 117267395, -117267395, 117267395], [-3752196738, 3730157389, 0, -22039349], [3937186869, -3858732879, 0, 78453990], [-1349409486, -1349409486, 24879345, 0], [-11918821476, -33277543, 33277543, -33277543], [-5390238655, 5476489577, 0, 86250922], [-3501472355, -3501472355, -65019182, 0], [-14399344432, 86890171, -86890171, 86890171], [3418221839, 3418221839, 24239120, 0], [1386595998, 1386595998, -32066683, 0], [0, 10292781160, -182559672, -182559672], [12762284623, -12768804095, 0, -6519472], [0, 5855587960, -217650456, -217650456], [7860179982, 7860179982, -41433811, 0], [-5753368021, 5745729241, 0, -7638780], [0, 12876295270, 217344474, 217344474], [8984241710, -8525790043, 0, 458451667], [0, -2400199545, -18803967, -18803967], [1548462003, 1548462003, 174312532, 0], [4417787554, 170328592, -170328592, 170328592], [0, 20603689485, 288803579, 288803579], [0, -5926327830, 308217878, 308217878], [8011492192, 125451155, -125451155, 125451155], [-16739818228, -58176495, 58176495, -58176495], [1582144695, -1045584383, 0, 536560312], [0, -38060489800, -296204056, -296204056], [-10550356642, 10359212045, 0, -191144597], [0, -4735894285, 296414757, 296414757], [-5502363231, -5502363231, 1225165110, 0], [-19870843738, 291119130, -291119130, 291119130], [18087934858, -18079337515, 0, 8597343], [33350591950, 33350591950, 549996933, 0], [0, -65889524260, 189337860, 189337860], [-63149151858, -63149151858, 415023069, 0], [47409867584, 162791827, -162791827, 162791827], [0, -17750328670, 1153359454, 1153359454], [64573482090, -65110293723, 0, -536811633], [0, 70310854520, 9692472, 9692472], [20584784222, -112481290, 112481290, -112481290], [-98764730, -1295519603, 0, -1394284333], [46668332166, 1065518474, -1065518474, 1065518474], [13229976422, 13229976422, 1033052909, 0], [46479039563, 46479039563, 1232224412, 0], [37115959050, -35065305843, 0, 2050653207], [0, 26596408195, -534647627, -534647627], [68222281552, -1008942085, 1008942085, -1008942085], [-70800769183, -70800769183, -316370106, 0], [-26236612050, -26236612050, -66194667, 0], [-85005293457, 84049161505, 0, -956131952], [0, -269525380, -1219464764, -1219464764], [-18698564032, 2742920211, -2742920211, 2742920211], [17190872802, 17190872802, -2800728951, 0], [-138008733379, 136823587793, 0, 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504752733], [122891041557, 122891041557, -4264708086, 0], [62436551218, -2281773544, 2281773544, -2281773544], [0, -192717127600, -267225168, -267225168], [62799932269, -55165846319, 0, 7634085950], [-258279659894, -258279659894, 3171866681, 0], [-155200927123, -155200927123, 7117750274, 0], [0, -451191538880, -592721888, -592721888], [-423595943352, -2565727289, 2565727289, -2565727289], [121170111504, 3159178507, -3159178507, 3159178507], [-132168630878, 132546258629, 0, 377627751], [133098168398, 133098168398, -10183539883, 0], [0, 326517520025, 1100315423, 1100315423], [0, -383817922340, 1762252452, 1762252452], [469829160861, -474340646287, 0, -4511485426], [427993680895, 427993680895, 6635185168, 0], [0, -231336017590, 1899288214, 1899288214], [-131502151230, 132714720277, 0, 1212569047], [362132718469, 362132718469, 10253071210, 0], [417936901552, -5996606965, 5996606965, -5996606965], [-297610507446, 292867166861, 0, -4743340585], [-521581511746, -521581511746, 6092282765, 0], [807493884050, 807493884050, -455887167, 0], [534968479492, 663446685, -663446685, 663446685], [0, 849786265940, -5397676116, -5397676116], [0, 266205794765, -10810716005, -10810716005], [-372833963991, -372833963991, -622945970, 0], [-29598288886, 4368845732, -4368845732, 4368845732], [501547726754, 501547726754, 524742465, 0], [399359652065, -415260329623, 0, -15900677558], [119019240074, 119019240074, 20874126225, 0], [956000984952, 4341450815, -4341450815, 4341450815], [-329132092249, -329132092249, -3301710184, 0], [285562741350, -303539931403, 0, -17977190053], [-1237390177508, 7517604345, -7517604345, 7517604345], [154145554173, 154145554173, -13278705758, 0]], 'char_orbit_index': 3, 'field_poly': [3844, 0, 125, 0, 1], 'hecke_orbit_code': 18014536099430450, 'hecke_ring_character_values': [[27, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 62, 62, 31], 'hecke_ring_inverse_denominators': [1, 10, 10, 10], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -5, 1, 1], [-626, -1, 1, -1], [0, 935, -63, -63]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 63, 0, 1], [19406, 499, 310, 3], [-9703, 218, -155, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '50.9.c.e', 'level': 50, 'maxp': 997, 'weight': 9}
• 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': 20.36893050305636, 'char_conductor': 5, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 4, 'char_parity': -1, 'char_values': [50, 4, [27], [1]], 'conrey_index': 7, 'cusp_dim': 108, 'dim': 24, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 137589948466, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4], 'label': '50.9.c', 'level': 50, '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, 5], 'level_radical': 10, 'mf_dim': 132, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 67, 'trace_bound': 3, 'trace_display': [0, -140, 0, -4540], 'traces': [24, 0, -140, 0, 0, -1024, -4540, 0, 0, 0, 69168, -17920, -119280, 0, 0, -393216, -202560, -158720, 0, 0, 598328, -40960, -174540, 0, 0, -1841664, 704560, 581120, 0, 0, 1696008, 0, 3190840, 0, 0, 12434432, 6531240, 5076480, 0, 0, -26032272, -13150720, -12059820, 0, 0, 34820096, 8748660, 2293760, 0, 0, -61195472, -15267840, -30279480, 0, 0, 28311552, 21729760, 24194560, 0, 0, -10823032, -56017920, -21701900, 0, 0, 55903232, 47676980, 25927680, 0, 0, 97401288, -20316160, 72484120, 0, 0, -33336320, 200406840, 100792320, 0, 0, -420356576, -120186880, -135315900, 0, 0, 353865216, -66654080, 5242880, 0, 0, 111682008, -22341120, -115691240, 0, 0, 16777216, -173745000, -115169280, 0, 0, -611860752, 66956800, -71624300, 0, 0, 270808576, 49732980, -90183680, 0, 0, 318338328, 74383360, 326720160, 0, 0, -450170880, -471357960, -261332480, 0, 0, 2756935232, 1031592960, 546429880, 0, 0, -3500514304, -619377820, 0, 0, 0, -534429192, 408427520, 1484815840, 0, 0, 149553152, 631400760, -425515520, 0, 0, 4138167528, 740776960, -1208422440, 0, 0, -2307477504, -2667155900, -835998720, 0, 0, -416534952, 649789440, 660443480, 0, 0, 1083147264, -851234640, 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461635584000, 0, 0, -18344913230432, -2116099591680, -940423784160, 0, 0, -463856467968, 1191134895720, 889610260480, 0, 0, -1230363692272, -1058280161280, -604949104200, 0, 0, 13111066621952, 552336088180, 514149588480, 0, 0, 2598060898968, -356020387840, 1159199304120, 0, 0, 237381048320, 1594189484280, -288298147840, 0, 0, -5090845432272, -778842419200, -3271461281880, 0, 0, 1297897076736, -3160873147940, -396403671040, 0, 0, -817921121640, 978875965440, -1228064208040, 0, 0, -3102566449152, -2015116952000, 1147740311040, 0, 0, -7596635901072, -2120637957120, 1023822996280, 0, 0, 764275187712, 4489812366900, -983938990080, 0, 0, 4882210893528, 159462195200, 371159419680, 0, 0, 5463330293760, 1555800970240, 1831897446400, 0, 0, 6999723582552, -79544540160, -922726462780, 0, 0, 7102591450112, -474075877100, 740630200320, 0, 0, -4360629242112, -1929349445120, -2263725214240, 0, 0, 177324556288, -1680532347240, -779401231360, 0, 0, -4753323098680, -207016939520, 2489770275780, 0, 0, -6898954506240, 5760485154360, 382409349120, 0, 0, -4732994804072, 917797601280, 3148405741240, 0, 0, -6603325280256, 1655184784720, 1166800258560, 0, 0], 'weight': 9, 'weight_parity': -1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 42385
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.9.c.a', 'target_level': 10, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 9}
  • id: 42386
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.9.c.a', 'target_level': 10, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 9}
  • id: 42387
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '50.9.c.e', 'target_level': 50, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 9}
  • id: 42388
    {'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '50.9.c.e', 'target_level': 50, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 9}
  • id: 42389
    {'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '80.9.p.b', 'target_level': 80, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 9}
  • id: 42390
    {'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '80.9.p.b', 'target_level': 80, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 9}
  • id: 42391
    {'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.9.g.b', 'target_level': 90, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 9}
  • id: 42392
    {'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '50.9.c.e', 'source_level': 50, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '90.9.g.b', 'target_level': 90, 'twist_class_label': '10.9.c.a', 'twist_class_level': 10, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 9}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 169525
    {'charpoly_factorization': [[[128, -16, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 2}
  • id: 169526
    {'charpoly_factorization': [[[7551504, -148392, 1458, 54, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 3}
  • id: 169527
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014536099430450, 'p': 5}
  • id: 169528
    {'charpoly_factorization': [[[113609761628944, 12641322568, 703298, -1186, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 7}
  • id: 169529
    {'charpoly_factorization': [[[-82195856, 9926, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 11}
  • id: 169530
    {'charpoly_factorization': [[[246765035257268004, 36612793815408, 2716139808, 73704, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 13}
  • id: 169531
    {'charpoly_factorization': [[[24204799471737624964, 978772120166848, 19789357568, 198944, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 17}
  • id: 169532
    {'charpoly_factorization': [[[112597871042767360000, 0, 26334678800, 0, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 19}
  • id: 169533
    {'charpoly_factorization': [[[755386050147935678224, 17351765058460888, 199291309778, 631334, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 23}
  • id: 169534
    {'charpoly_factorization': [[[2530419656817418240000, 0, 1455300416000, 0, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 29}
  • id: 169535
    {'charpoly_factorization': [[[-344028072296, 1164946, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 31}
  • id: 169536
    {'charpoly_factorization': [[[37127328237413709695929764, 5949151767636441048, 476635519368, -976356, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 37}
  • id: 169537
    {'charpoly_factorization': [[[-8475379721456, 2142326, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 41}
  • id: 169538
    {'charpoly_factorization': [[[12547645792544138773697424, -25314921760883077512, 25536474106578, 7146534, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 43}
  • id: 169539
    {'charpoly_factorization': [[[316476251733553552250812944, 58709580977672108568, 5445613817298, -3300186, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 47}
  • id: 169540
    {'charpoly_factorization': [[[4227490206231441911875062244, -649486978570688959432, 49891698709448, 9989164, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 53}
  • id: 169541
    {'charpoly_factorization': [[[2864577254982702321379840000, 0, 148578408458000, 0, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 59}
  • id: 169542
    {'charpoly_factorization': [[[454269173871504, -42688554, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 61}
  • id: 169543
    {'charpoly_factorization': [[[164812882199564178154020273424, -23219730772684752465512, 1635660665478578, -57195466, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 67}
  • id: 169544
    {'charpoly_factorization': [[[793510166720824, -56502014, 1], 2]], 'hecke_orbit_code': 18014536099430450, 'p': 71}
  • id: 169545
    {'charpoly_factorization': [[[194008667749046159575508362564, -26813588143833901068952, 1852928834285768, -60875756, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 73}
  • id: 169546
    {'charpoly_factorization': [[[6089954595985521967104000000, 0, 653123727897600, 0, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 79}
  • id: 169547
    {'charpoly_factorization': [[[301824118082596266563492073744, 39034486713615084444168, 2524137505436898, 71051214, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 83}
  • id: 169548
    {'charpoly_factorization': [[[3508450350713774140456960000, 0, 138769824492800, 0, 1], 1]], 'hecke_orbit_code': 18014536099430450, 'p': 89}
  • id: 169549
    {'charpoly_factorization': [[[5568544323246645650423242846404, 329499353909499618109608, 9748492417806408, 139631604, 1], 1]], 'hecke_orbit_code': 18014536099430450, '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': 3, 'hecke_orbit': 5, 'label': '50.9.c.e', 'level': 50, 'portrait': 'data:image/png;base64,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', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 40664131
    {'hecke_orbit_code': 18014536099430450, 'n': 1, 'trace_an': 4}
  • id: 40664132
    {'hecke_orbit_code': 18014536099430450, 'n': 2, 'trace_an': 32}
  • id: 40664133
    {'hecke_orbit_code': 18014536099430450, 'n': 3, 'trace_an': -54}
  • id: 40664134
    {'hecke_orbit_code': 18014536099430450, 'n': 4, 'trace_an': 0}
  • id: 40664135
    {'hecke_orbit_code': 18014536099430450, 'n': 5, 'trace_an': 0}
  • id: 40664136
    {'hecke_orbit_code': 18014536099430450, 'n': 6, 'trace_an': -864}
  • id: 40664137
    {'hecke_orbit_code': 18014536099430450, 'n': 7, 'trace_an': 1186}
  • id: 40664138
    {'hecke_orbit_code': 18014536099430450, 'n': 8, 'trace_an': -4096}
  • id: 40664139
    {'hecke_orbit_code': 18014536099430450, 'n': 9, 'trace_an': 0}
  • id: 40664140
    {'hecke_orbit_code': 18014536099430450, 'n': 10, 'trace_an': 0}
  • id: 40664141
    {'hecke_orbit_code': 18014536099430450, 'n': 11, 'trace_an': -19852}
  • id: 40664142
    {'hecke_orbit_code': 18014536099430450, 'n': 12, 'trace_an': -6912}
  • id: 40664143
    {'hecke_orbit_code': 18014536099430450, 'n': 13, 'trace_an': -73704}
  • id: 40664144
    {'hecke_orbit_code': 18014536099430450, 'n': 14, 'trace_an': 0}
  • id: 40664145
    {'hecke_orbit_code': 18014536099430450, 'n': 15, 'trace_an': 0}
  • id: 40664146
    {'hecke_orbit_code': 18014536099430450, 'n': 16, 'trace_an': -65536}
  • id: 40664147
    {'hecke_orbit_code': 18014536099430450, 'n': 17, 'trace_an': -198944}
  • id: 40664148
    {'hecke_orbit_code': 18014536099430450, 'n': 18, 'trace_an': -98688}
  • id: 40664149
    {'hecke_orbit_code': 18014536099430450, 'n': 19, 'trace_an': 0}
  • id: 40664150
    {'hecke_orbit_code': 18014536099430450, 'n': 20, 'trace_an': 0}
  • id: 40664151
    {'hecke_orbit_code': 18014536099430450, 'n': 21, 'trace_an': -766572}
  • id: 40664152
    {'hecke_orbit_code': 18014536099430450, 'n': 22, 'trace_an': -158816}
  • id: 40664153
    {'hecke_orbit_code': 18014536099430450, 'n': 23, 'trace_an': -631334}
  • id: 40664154
    {'hecke_orbit_code': 18014536099430450, 'n': 24, 'trace_an': 0}
  • id: 40664155
    {'hecke_orbit_code': 18014536099430450, 'n': 25, 'trace_an': 0}
  • id: 40664156
    {'hecke_orbit_code': 18014536099430450, 'n': 26, 'trace_an': -1179264}
  • id: 40664157
    {'hecke_orbit_code': 18014536099430450, 'n': 27, 'trace_an': -184680}
  • id: 40664158
    {'hecke_orbit_code': 18014536099430450, 'n': 28, 'trace_an': -151808}
  • id: 40664159
    {'hecke_orbit_code': 18014536099430450, 'n': 29, 'trace_an': 0}
  • id: 40664160
    {'hecke_orbit_code': 18014536099430450, 'n': 30, 'trace_an': 0}
  • id: 40664161
    {'hecke_orbit_code': 18014536099430450, 'n': 31, 'trace_an': -2329892}
  • id: 40664162
    {'hecke_orbit_code': 18014536099430450, 'n': 32, 'trace_an': -524288}
  • id: 40664163
    {'hecke_orbit_code': 18014536099430450, 'n': 33, 'trace_an': -1362948}
  • id: 40664164
    {'hecke_orbit_code': 18014536099430450, 'n': 34, 'trace_an': 0}
  • id: 40664165
    {'hecke_orbit_code': 18014536099430450, 'n': 35, 'trace_an': 0}
  • id: 40664166
    {'hecke_orbit_code': 18014536099430450, 'n': 36, 'trace_an': -1579008}
  • id: 40664167
    {'hecke_orbit_code': 18014536099430450, 'n': 37, 'trace_an': 976356}
  • id: 40664168
    {'hecke_orbit_code': 18014536099430450, 'n': 38, 'trace_an': 1144000}
  • id: 40664169
    {'hecke_orbit_code': 18014536099430450, 'n': 39, 'trace_an': 0}
  • id: 40664170
    {'hecke_orbit_code': 18014536099430450, 'n': 40, 'trace_an': 0}
  • id: 40664171
    {'hecke_orbit_code': 18014536099430450, 'n': 41, 'trace_an': -4284652}
  • id: 40664172
    {'hecke_orbit_code': 18014536099430450, 'n': 42, 'trace_an': -6132576}
  • id: 40664173
    {'hecke_orbit_code': 18014536099430450, 'n': 43, 'trace_an': -7146534}
  • id: 40664174
    {'hecke_orbit_code': 18014536099430450, 'n': 44, 'trace_an': 0}
  • id: 40664175
    {'hecke_orbit_code': 18014536099430450, 'n': 45, 'trace_an': 0}
  • id: 40664176
    {'hecke_orbit_code': 18014536099430450, 'n': 46, 'trace_an': -10101344}
  • id: 40664177
    {'hecke_orbit_code': 18014536099430450, 'n': 47, 'trace_an': 3300186}
  • id: 40664178
    {'hecke_orbit_code': 18014536099430450, 'n': 48, 'trace_an': 884736}
  • id: 40664179
    {'hecke_orbit_code': 18014536099430450, 'n': 49, 'trace_an': 0}
  • id: 40664180
    {'hecke_orbit_code': 18014536099430450, 'n': 50, 'trace_an': 0}
  • id: 40664181
    {'hecke_orbit_code': 18014536099430450, 'n': 51, 'trace_an': 6541788}
  • id: 40664182
    {'hecke_orbit_code': 18014536099430450, 'n': 52, 'trace_an': -9434112}
  • id: 40664183
    {'hecke_orbit_code': 18014536099430450, 'n': 53, 'trace_an': -9989164}
  • id: 40664184
    {'hecke_orbit_code': 18014536099430450, 'n': 54, 'trace_an': 0}
  • id: 40664185
    {'hecke_orbit_code': 18014536099430450, 'n': 55, 'trace_an': 0}
  • id: 40664186
    {'hecke_orbit_code': 18014536099430450, 'n': 56, 'trace_an': -2428928}
  • id: 40664187
    {'hecke_orbit_code': 18014536099430450, 'n': 57, 'trace_an': 19136400}
  • id: 40664188
    {'hecke_orbit_code': 18014536099430450, 'n': 58, 'trace_an': 19957760}
  • id: 40664189
    {'hecke_orbit_code': 18014536099430450, 'n': 59, 'trace_an': 0}
  • id: 40664190
    {'hecke_orbit_code': 18014536099430450, 'n': 60, 'trace_an': 0}
  • id: 40664191
    {'hecke_orbit_code': 18014536099430450, 'n': 61, 'trace_an': 85377108}
  • id: 40664192
    {'hecke_orbit_code': 18014536099430450, 'n': 62, 'trace_an': -18639136}
  • id: 40664193
    {'hecke_orbit_code': 18014536099430450, 'n': 63, 'trace_an': 16175226}
  • id: 40664194
    {'hecke_orbit_code': 18014536099430450, 'n': 64, 'trace_an': 0}
  • id: 40664195
    {'hecke_orbit_code': 18014536099430450, 'n': 65, 'trace_an': 0}
  • id: 40664196
    {'hecke_orbit_code': 18014536099430450, 'n': 66, 'trace_an': -21807168}
  • id: 40664197
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    {'hecke_orbit_code': 18014536099430450, 'n': 977, 'trace_an': -1323131789364}
  • id: 40664386
    {'hecke_orbit_code': 18014536099430450, 'n': 983, 'trace_an': 1178205345506}
  • id: 40664387
    {'hecke_orbit_code': 18014536099430450, 'n': 991, 'trace_an': -4979631127412}
  • id: 40664388
    {'hecke_orbit_code': 18014536099430450, 'n': 997, 'trace_an': 590024805176}