Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 20.7 | ||
Character | \(\chi\) | \(=\) | 91.20 |
Dual form | 91.2.bc.a.41.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61897 | − | 0.433802i | 1.14479 | − | 0.306744i | 0.363912 | − | 0.931433i | \(-0.381441\pi\) |
0.780873 | + | 0.624689i | \(0.214774\pi\) | |||||||
\(3\) | −0.552306 | − | 0.318874i | −0.318874 | − | 0.184102i | 0.332016 | − | 0.943274i | \(-0.392271\pi\) |
−0.650891 | + | 0.759171i | \(0.725604\pi\) | |||||||
\(4\) | 0.700831 | − | 0.404625i | 0.350416 | − | 0.202313i | ||||
\(5\) | 1.42145 | − | 1.42145i | 0.635693 | − | 0.635693i | −0.313797 | − | 0.949490i | \(-0.601601\pi\) |
0.949490 | + | 0.313797i | \(0.101601\pi\) | |||||||
\(6\) | −1.03250 | − | 0.276656i | −0.421515 | − | 0.112945i | ||||
\(7\) | −1.11484 | + | 2.39940i | −0.421372 | + | 0.906888i | ||||
\(8\) | −1.41124 | + | 1.41124i | −0.498948 | + | 0.498948i | ||||
\(9\) | −1.29664 | − | 2.24584i | −0.432213 | − | 0.748615i | ||||
\(10\) | 1.68466 | − | 2.91792i | 0.532737 | − | 0.922727i | ||||
\(11\) | 0.254101 | + | 0.948318i | 0.0766144 | + | 0.285929i | 0.993595 | − | 0.113004i | \(-0.0360473\pi\) |
−0.916980 | + | 0.398933i | \(0.869381\pi\) | |||||||
\(12\) | −0.516098 | −0.148985 | ||||||||
\(13\) | 1.60977 | + | 3.22624i | 0.446471 | + | 0.894798i | ||||
\(14\) | −0.764036 | + | 4.36818i | −0.204197 | + | 1.16745i | ||||
\(15\) | −1.23834 | + | 0.331813i | −0.319739 | + | 0.0856737i | ||||
\(16\) | −2.48181 | + | 4.29862i | −0.620452 | + | 1.07465i | ||||
\(17\) | −2.99281 | − | 5.18370i | −0.725863 | − | 1.25723i | −0.958618 | − | 0.284696i | \(-0.908107\pi\) |
0.232755 | − | 0.972535i | \(-0.425226\pi\) | |||||||
\(18\) | −3.07347 | − | 3.07347i | −0.724424 | − | 0.724424i | ||||
\(19\) | −2.71200 | − | 0.726678i | −0.622175 | − | 0.166711i | −0.0660587 | − | 0.997816i | \(-0.521042\pi\) |
−0.556116 | + | 0.831104i | \(0.687709\pi\) | |||||||
\(20\) | 0.421043 | − | 1.57135i | 0.0941481 | − | 0.351366i | ||||
\(21\) | 1.38084 | − | 0.969709i | 0.301325 | − | 0.211608i | ||||
\(22\) | 0.822765 | + | 1.42507i | 0.175414 | + | 0.303826i | ||||
\(23\) | 2.58851 | + | 1.49448i | 0.539742 | + | 0.311620i | 0.744974 | − | 0.667093i | \(-0.232462\pi\) |
−0.205233 | + | 0.978713i | \(0.565795\pi\) | |||||||
\(24\) | 1.22944 | − | 0.329429i | 0.250959 | − | 0.0672443i | ||||
\(25\) | 0.958941i | 0.191788i | ||||||||
\(26\) | 4.00573 | + | 4.52487i | 0.785588 | + | 0.887399i | ||||
\(27\) | 3.56710i | 0.686489i | ||||||||
\(28\) | 0.189540 | + | 2.13267i | 0.0358196 | + | 0.403037i | ||||
\(29\) | 3.65708 | − | 6.33425i | 0.679103 | − | 1.17624i | −0.296148 | − | 0.955142i | \(-0.595702\pi\) |
0.975251 | − | 0.221099i | \(-0.0709645\pi\) | |||||||
\(30\) | −1.86090 | + | 1.07439i | −0.339752 | + | 0.196156i | ||||
\(31\) | 6.11048 | − | 6.11048i | 1.09748 | − | 1.09748i | 0.102770 | − | 0.994705i | \(-0.467229\pi\) |
0.994705 | − | 0.102770i | \(-0.0327707\pi\) | |||||||
\(32\) | −1.12013 | + | 4.18037i | −0.198012 | + | 0.738992i | ||||
\(33\) | 0.162053 | − | 0.604789i | 0.0282097 | − | 0.105280i | ||||
\(34\) | −7.09397 | − | 7.09397i | −1.21661 | − | 1.21661i | ||||
\(35\) | 1.82594 | + | 4.99533i | 0.308639 | + | 0.844366i | ||||
\(36\) | −1.81745 | − | 1.04931i | −0.302908 | − | 0.174884i | ||||
\(37\) | −1.24143 | − | 4.63309i | −0.204090 | − | 0.761675i | −0.989725 | − | 0.142984i | \(-0.954330\pi\) |
0.785635 | − | 0.618690i | \(-0.212336\pi\) | |||||||
\(38\) | −4.70588 | −0.763395 | ||||||||
\(39\) | 0.139676 | − | 2.29519i | 0.0223661 | − | 0.367524i | ||||
\(40\) | 4.01202i | 0.634356i | ||||||||
\(41\) | 0.886060 | + | 3.30682i | 0.138379 | + | 0.516439i | 0.999961 | + | 0.00881984i | \(0.00280748\pi\) |
−0.861582 | + | 0.507619i | \(0.830526\pi\) | |||||||
\(42\) | 1.81488 | − | 2.16894i | 0.280042 | − | 0.334675i | ||||
\(43\) | −0.748633 | + | 0.432224i | −0.114165 | + | 0.0659135i | −0.555995 | − | 0.831185i | \(-0.687663\pi\) |
0.441830 | + | 0.897099i | \(0.354329\pi\) | |||||||
\(44\) | 0.561795 | + | 0.561795i | 0.0846939 | + | 0.0846939i | ||||
\(45\) | −5.03547 | − | 1.34925i | −0.750644 | − | 0.201134i | ||||
\(46\) | 4.83903 | + | 1.29661i | 0.713476 | + | 0.191175i | ||||
\(47\) | 2.17001 | + | 2.17001i | 0.316529 | + | 0.316529i | 0.847432 | − | 0.530903i | \(-0.178147\pi\) |
−0.530903 | + | 0.847432i | \(0.678147\pi\) | |||||||
\(48\) | 2.74144 | − | 1.58277i | 0.395692 | − | 0.228453i | ||||
\(49\) | −4.51424 | − | 5.34992i | −0.644892 | − | 0.764274i | ||||
\(50\) | 0.415990 | + | 1.55250i | 0.0588299 | + | 0.219556i | ||||
\(51\) | 3.81732i | 0.534531i | ||||||||
\(52\) | 2.43360 | + | 1.60970i | 0.337479 | + | 0.223225i | ||||
\(53\) | 6.32446 | 0.868732 | 0.434366 | − | 0.900737i | \(-0.356972\pi\) | ||||
0.434366 | + | 0.900737i | \(0.356972\pi\) | |||||||
\(54\) | 1.54742 | + | 5.77504i | 0.210577 | + | 0.785883i | ||||
\(55\) | 1.70918 | + | 0.986797i | 0.230466 | + | 0.133060i | ||||
\(56\) | −1.81282 | − | 4.95944i | −0.242248 | − | 0.662733i | ||||
\(57\) | 1.26614 | + | 1.26614i | 0.167704 | + | 0.167704i | ||||
\(58\) | 3.17290 | − | 11.8414i | 0.416622 | − | 1.55485i | ||||
\(59\) | 0.131692 | − | 0.491481i | 0.0171448 | − | 0.0639854i | −0.956823 | − | 0.290670i | \(-0.906122\pi\) |
0.973968 | + | 0.226684i | \(0.0727886\pi\) | |||||||
\(60\) | −0.733609 | + | 0.733609i | −0.0947086 | + | 0.0947086i | ||||
\(61\) | −11.2829 | + | 6.51419i | −1.44463 | + | 0.834057i | −0.998154 | − | 0.0607392i | \(-0.980654\pi\) |
−0.446475 | + | 0.894796i | \(0.647321\pi\) | |||||||
\(62\) | 7.24196 | − | 12.5434i | 0.919729 | − | 1.59302i | ||||
\(63\) | 6.83423 | − | 0.607388i | 0.861032 | − | 0.0765237i | ||||
\(64\) | − | 2.67342i | − | 0.334178i | ||||||
\(65\) | 6.87417 | + | 2.29773i | 0.852636 | + | 0.284998i | ||||
\(66\) | − | 1.04943i | − | 0.129176i | ||||||
\(67\) | −0.827827 | + | 0.221815i | −0.101135 | + | 0.0270991i | −0.309032 | − | 0.951052i | \(-0.600005\pi\) |
0.207897 | + | 0.978151i | \(0.433338\pi\) | |||||||
\(68\) | −4.19491 | − | 2.42193i | −0.508707 | − | 0.293702i | ||||
\(69\) | −0.953100 | − | 1.65082i | −0.114740 | − | 0.198735i | ||||
\(70\) | 5.12312 | + | 7.29521i | 0.612330 | + | 0.871944i | ||||
\(71\) | −3.01121 | + | 11.2380i | −0.357365 | + | 1.33370i | 0.520117 | + | 0.854095i | \(0.325888\pi\) |
−0.877482 | + | 0.479609i | \(0.840778\pi\) | |||||||
\(72\) | 4.99929 | + | 1.33956i | 0.589172 | + | 0.157868i | ||||
\(73\) | 1.03002 | + | 1.03002i | 0.120555 | + | 0.120555i | 0.764810 | − | 0.644255i | \(-0.222833\pi\) |
−0.644255 | + | 0.764810i | \(0.722833\pi\) | |||||||
\(74\) | −4.01968 | − | 6.96230i | −0.467279 | − | 0.809350i | ||||
\(75\) | 0.305782 | − | 0.529629i | 0.0353086 | − | 0.0611563i | ||||
\(76\) | −2.19469 | + | 0.588064i | −0.251748 | + | 0.0674556i | ||||
\(77\) | −2.55868 | − | 0.447537i | −0.291588 | − | 0.0510016i | ||||
\(78\) | −0.769526 | − | 3.77644i | −0.0871316 | − | 0.427597i | ||||
\(79\) | −11.6027 | −1.30541 | −0.652705 | − | 0.757612i | \(-0.726366\pi\) | ||||
−0.652705 | + | 0.757612i | \(0.726366\pi\) | |||||||
\(80\) | 2.58251 | + | 9.63806i | 0.288733 | + | 1.07757i | ||||
\(81\) | −2.75246 | + | 4.76740i | −0.305829 | + | 0.529711i | ||||
\(82\) | 2.86901 | + | 4.96927i | 0.316829 | + | 0.548764i | ||||
\(83\) | 1.23779 | − | 1.23779i | 0.135865 | − | 0.135865i | −0.635904 | − | 0.771768i | \(-0.719372\pi\) |
0.771768 | + | 0.635904i | \(0.219372\pi\) | |||||||
\(84\) | 0.575369 | − | 1.23833i | 0.0627779 | − | 0.135112i | ||||
\(85\) | −11.6225 | − | 3.11424i | −1.26064 | − | 0.337787i | ||||
\(86\) | −1.02452 | + | 1.02452i | −0.110476 | + | 0.110476i | ||||
\(87\) | −4.03966 | + | 2.33230i | −0.433097 | + | 0.250049i | ||||
\(88\) | −1.69690 | − | 0.979707i | −0.180890 | − | 0.104437i | ||||
\(89\) | 7.75255 | − | 2.07729i | 0.821769 | − | 0.220192i | 0.176649 | − | 0.984274i | \(-0.443474\pi\) |
0.645120 | + | 0.764082i | \(0.276807\pi\) | |||||||
\(90\) | −8.73759 | −0.921023 | ||||||||
\(91\) | −9.53569 | + | 0.265737i | −0.999612 | + | 0.0278568i | ||||
\(92\) | 2.41881 | 0.252179 | ||||||||
\(93\) | −5.32334 | + | 1.42638i | −0.552004 | + | 0.147909i | ||||
\(94\) | 4.45454 | + | 2.57183i | 0.459451 | + | 0.265264i | ||||
\(95\) | −4.88792 | + | 2.82204i | −0.501490 | + | 0.289535i | ||||
\(96\) | 1.95167 | − | 1.95167i | 0.199191 | − | 0.199191i | ||||
\(97\) | 12.0756 | + | 3.23566i | 1.22609 | + | 0.328531i | 0.813058 | − | 0.582183i | \(-0.197801\pi\) |
0.413037 | + | 0.910714i | \(0.364468\pi\) | |||||||
\(98\) | −9.62923 | − | 6.70307i | −0.972699 | − | 0.677112i | ||||
\(99\) | 1.80030 | − | 1.80030i | 0.180937 | − | 0.180937i | ||||
\(100\) | 0.388012 | + | 0.672056i | 0.0388012 | + | 0.0672056i | ||||
\(101\) | −3.99818 | + | 6.92504i | −0.397833 | + | 0.689068i | −0.993458 | − | 0.114195i | \(-0.963571\pi\) |
0.595625 | + | 0.803263i | \(0.296904\pi\) | |||||||
\(102\) | 1.65596 | + | 6.18013i | 0.163964 | + | 0.611924i | ||||
\(103\) | −10.3386 | −1.01869 | −0.509344 | − | 0.860563i | \(-0.670112\pi\) | ||||
−0.509344 | + | 0.860563i | \(0.670112\pi\) | |||||||
\(104\) | −6.82477 | − | 2.28122i | −0.669224 | − | 0.223692i | ||||
\(105\) | 0.584408 | − | 3.34120i | 0.0570323 | − | 0.326068i | ||||
\(106\) | 10.2391 | − | 2.74356i | 0.994511 | − | 0.266479i | ||||
\(107\) | −6.52593 | + | 11.3032i | −0.630885 | + | 1.09273i | 0.356486 | + | 0.934301i | \(0.383975\pi\) |
−0.987371 | + | 0.158425i | \(0.949358\pi\) | |||||||
\(108\) | 1.44334 | + | 2.49994i | 0.138885 | + | 0.240557i | ||||
\(109\) | −8.28013 | − | 8.28013i | −0.793093 | − | 0.793093i | 0.188903 | − | 0.981996i | \(-0.439507\pi\) |
−0.981996 | + | 0.188903i | \(0.939507\pi\) | |||||||
\(110\) | 3.19519 | + | 0.856149i | 0.304650 | + | 0.0816306i | ||||
\(111\) | −0.791721 | + | 2.95474i | −0.0751468 | + | 0.280452i | ||||
\(112\) | −7.54727 | − | 10.7471i | −0.713150 | − | 1.01551i | ||||
\(113\) | 4.05748 | + | 7.02777i | 0.381696 | + | 0.661117i | 0.991305 | − | 0.131586i | \(-0.0420069\pi\) |
−0.609609 | + | 0.792702i | \(0.708674\pi\) | |||||||
\(114\) | 2.59909 | + | 1.50058i | 0.243427 | + | 0.140543i | ||||
\(115\) | 5.80377 | − | 1.55512i | 0.541205 | − | 0.145015i | ||||
\(116\) | − | 5.91899i | − | 0.549565i | ||||||
\(117\) | 5.15834 | − | 7.79857i | 0.476888 | − | 0.720978i | ||||
\(118\) | − | 0.852822i | − | 0.0785086i | ||||||
\(119\) | 15.7743 | − | 1.40193i | 1.44603 | − | 0.128515i | ||||
\(120\) | 1.27933 | − | 2.21587i | 0.116786 | − | 0.202280i | ||||
\(121\) | 8.69154 | − | 5.01806i | 0.790140 | − | 0.456188i | ||||
\(122\) | −15.4408 | + | 15.4408i | −1.39795 | + | 1.39795i | ||||
\(123\) | 0.565083 | − | 2.10892i | 0.0509518 | − | 0.190155i | ||||
\(124\) | 1.80996 | − | 6.75488i | 0.162540 | − | 0.606606i | ||||
\(125\) | 8.47036 | + | 8.47036i | 0.757612 | + | 0.757612i | ||||
\(126\) | 10.8009 | − | 3.94804i | 0.962223 | − | 0.351720i | ||||
\(127\) | 6.81853 | + | 3.93668i | 0.605047 | + | 0.349324i | 0.771024 | − | 0.636805i | \(-0.219745\pi\) |
−0.165977 | + | 0.986130i | \(0.553078\pi\) | |||||||
\(128\) | −3.39999 | − | 12.6889i | −0.300519 | − | 1.12155i | ||||
\(129\) | 0.551300 | 0.0485392 | ||||||||
\(130\) | 12.1258 | + | 0.737931i | 1.06351 | + | 0.0647208i | ||||
\(131\) | − | 19.9597i | − | 1.74389i | −0.489604 | − | 0.871945i | \(-0.662859\pi\) | ||
0.489604 | − | 0.871945i | \(-0.337141\pi\) | |||||||
\(132\) | −0.131141 | − | 0.489425i | −0.0114144 | − | 0.0425990i | ||||
\(133\) | 4.76705 | − | 5.69704i | 0.413355 | − | 0.493996i | ||||
\(134\) | −1.24400 | + | 0.718226i | −0.107466 | + | 0.0620452i | ||||
\(135\) | 5.07047 | + | 5.07047i | 0.436397 | + | 0.436397i | ||||
\(136\) | 11.5390 | + | 3.09187i | 0.989461 | + | 0.265125i | ||||
\(137\) | 10.3872 | + | 2.78324i | 0.887437 | + | 0.237788i | 0.673613 | − | 0.739084i | \(-0.264741\pi\) |
0.213824 | + | 0.976872i | \(0.431408\pi\) | |||||||
\(138\) | −2.25917 | − | 2.25917i | −0.192313 | − | 0.192313i | ||||
\(139\) | −14.1096 | + | 8.14616i | −1.19676 | + | 0.690949i | −0.959831 | − | 0.280579i | \(-0.909474\pi\) |
−0.236927 | + | 0.971527i | \(0.576140\pi\) | |||||||
\(140\) | 3.30091 | + | 2.76207i | 0.278978 | + | 0.233437i | ||||
\(141\) | −0.506551 | − | 1.89047i | −0.0426593 | − | 0.159207i | ||||
\(142\) | 19.5002i | 1.63642i | ||||||||
\(143\) | −2.65046 | + | 2.34637i | −0.221642 | + | 0.196213i | ||||
\(144\) | 12.8720 | 1.07267 | ||||||||
\(145\) | −3.80547 | − | 14.2022i | −0.316027 | − | 1.17943i | ||||
\(146\) | 2.11440 | + | 1.22075i | 0.174989 | + | 0.101030i | ||||
\(147\) | 0.787295 | + | 4.39427i | 0.0649350 | + | 0.362433i | ||||
\(148\) | −2.74470 | − | 2.74470i | −0.225613 | − | 0.225613i | ||||
\(149\) | 4.84157 | − | 18.0690i | 0.396637 | − | 1.48027i | −0.422338 | − | 0.906438i | \(-0.638791\pi\) |
0.818975 | − | 0.573829i | \(-0.194543\pi\) | |||||||
\(150\) | 0.265297 | − | 0.990103i | 0.0216614 | − | 0.0808416i | ||||
\(151\) | −0.0257634 | + | 0.0257634i | −0.00209659 | + | 0.00209659i | −0.708154 | − | 0.706058i | \(-0.750472\pi\) |
0.706058 | + | 0.708154i | \(0.250472\pi\) | |||||||
\(152\) | 4.85280 | − | 2.80176i | 0.393614 | − | 0.227253i | ||||
\(153\) | −7.76118 | + | 13.4428i | −0.627454 | + | 1.08678i | ||||
\(154\) | −4.33657 | + | 0.385410i | −0.349451 | + | 0.0310572i | ||||
\(155\) | − | 17.3715i | − | 1.39532i | ||||||
\(156\) | −0.830802 | − | 1.66506i | −0.0665174 | − | 0.133311i | ||||
\(157\) | − | 7.18863i | − | 0.573716i | −0.957973 | − | 0.286858i | \(-0.907389\pi\) | ||
0.957973 | − | 0.286858i | \(-0.0926107\pi\) | |||||||
\(158\) | −18.7845 | + | 5.03329i | −1.49442 | + | 0.400427i | ||||
\(159\) | −3.49304 | − | 2.01671i | −0.277016 | − | 0.159935i | ||||
\(160\) | 4.34999 | + | 7.53441i | 0.343897 | + | 0.595647i | ||||
\(161\) | −6.47163 | + | 4.54476i | −0.510036 | + | 0.358177i | ||||
\(162\) | −2.38804 | + | 8.91230i | −0.187622 | + | 0.700216i | ||||
\(163\) | 15.8950 | + | 4.25905i | 1.24499 | + | 0.333594i | 0.820400 | − | 0.571791i | \(-0.193751\pi\) |
0.424592 | + | 0.905385i | \(0.360418\pi\) | |||||||
\(164\) | 1.95900 | + | 1.95900i | 0.152972 | + | 0.152972i | ||||
\(165\) | −0.629328 | − | 1.09003i | −0.0489932 | − | 0.0848586i | ||||
\(166\) | 1.46699 | − | 2.54090i | 0.113860 | − | 0.197212i | ||||
\(167\) | 6.49344 | − | 1.73991i | 0.502478 | − | 0.134638i | 0.00132801 | − | 0.999999i | \(-0.499577\pi\) |
0.501150 | + | 0.865361i | \(0.332911\pi\) | |||||||
\(168\) | −0.580208 | + | 3.31719i | −0.0447640 | + | 0.255927i | ||||
\(169\) | −7.81725 | + | 10.3870i | −0.601327 | + | 0.799003i | ||||
\(170\) | −20.1675 | −1.54678 | ||||||||
\(171\) | 1.88448 | + | 7.03296i | 0.144110 | + | 0.537824i | ||||
\(172\) | −0.349777 | + | 0.605832i | −0.0266702 | + | 0.0461942i | ||||
\(173\) | −4.75865 | − | 8.24223i | −0.361794 | − | 0.626645i | 0.626462 | − | 0.779452i | \(-0.284502\pi\) |
−0.988256 | + | 0.152807i | \(0.951169\pi\) | |||||||
\(174\) | −5.52834 | + | 5.52834i | −0.419102 | + | 0.419102i | ||||
\(175\) | −2.30088 | − | 1.06907i | −0.173930 | − | 0.0808141i | ||||
\(176\) | −4.70709 | − | 1.26126i | −0.354810 | − | 0.0950711i | ||||
\(177\) | −0.229455 | + | 0.229455i | −0.0172469 | + | 0.0172469i | ||||
\(178\) | 11.6500 | − | 6.72614i | 0.873206 | − | 0.504146i | ||||
\(179\) | −5.20227 | − | 3.00353i | −0.388836 | − | 0.224495i | 0.292820 | − | 0.956168i | \(-0.405406\pi\) |
−0.681656 | + | 0.731673i | \(0.738740\pi\) | |||||||
\(180\) | −4.07496 | + | 1.09188i | −0.303729 | + | 0.0813841i | ||||
\(181\) | 6.05960 | 0.450407 | 0.225203 | − | 0.974312i | \(-0.427695\pi\) | ||||
0.225203 | + | 0.974312i | \(0.427695\pi\) | |||||||
\(182\) | −15.3227 | + | 4.56682i | −1.13580 | + | 0.338515i | ||||
\(183\) | 8.30883 | 0.614207 | ||||||||
\(184\) | −5.76207 | + | 1.54394i | −0.424786 | + | 0.113821i | ||||
\(185\) | −8.35035 | − | 4.82108i | −0.613930 | − | 0.354453i | ||||
\(186\) | −7.99956 | + | 4.61855i | −0.586556 | + | 0.338648i | ||||
\(187\) | 4.15532 | − | 4.15532i | 0.303867 | − | 0.303867i | ||||
\(188\) | 2.39886 | + | 0.642771i | 0.174955 | + | 0.0468789i | ||||
\(189\) | −8.55891 | − | 3.97677i | −0.622569 | − | 0.289267i | ||||
\(190\) | −6.68919 | + | 6.68919i | −0.485285 | + | 0.485285i | ||||
\(191\) | −10.8137 | − | 18.7298i | −0.782449 | − | 1.35524i | −0.930511 | − | 0.366263i | \(-0.880637\pi\) |
0.148062 | − | 0.988978i | \(-0.452696\pi\) | |||||||
\(192\) | −0.852485 | + | 1.47655i | −0.0615228 | + | 0.106561i | ||||
\(193\) | 2.50822 | + | 9.36080i | 0.180546 | + | 0.673805i | 0.995540 | + | 0.0943368i | \(0.0300731\pi\) |
−0.814995 | + | 0.579468i | \(0.803260\pi\) | |||||||
\(194\) | 20.9537 | 1.50439 | ||||||||
\(195\) | −3.06396 | − | 3.46105i | −0.219415 | − | 0.247851i | ||||
\(196\) | −5.32843 | − | 1.92281i | −0.380602 | − | 0.137344i | ||||
\(197\) | −4.47322 | + | 1.19859i | −0.318704 | + | 0.0853964i | −0.414624 | − | 0.909993i | \(-0.636087\pi\) |
0.0959210 | + | 0.995389i | \(0.469420\pi\) | |||||||
\(198\) | 2.13366 | − | 3.69560i | 0.151632 | − | 0.262635i | ||||
\(199\) | 10.7801 | + | 18.6717i | 0.764182 | + | 1.32360i | 0.940678 | + | 0.339300i | \(0.110190\pi\) |
−0.176496 | + | 0.984301i | \(0.556476\pi\) | |||||||
\(200\) | −1.35330 | − | 1.35330i | −0.0956924 | − | 0.0956924i | ||||
\(201\) | 0.527945 | + | 0.141462i | 0.0372384 | + | 0.00997799i | ||||
\(202\) | −3.46883 | + | 12.9459i | −0.244066 | + | 0.910868i | ||||
\(203\) | 11.1213 | + | 15.8365i | 0.780564 | + | 1.11151i | ||||
\(204\) | 1.54458 | + | 2.67530i | 0.108142 | + | 0.187308i | ||||
\(205\) | 5.95998 | + | 3.44100i | 0.416263 | + | 0.240330i | ||||
\(206\) | −16.7378 | + | 4.48489i | −1.16618 | + | 0.312477i | ||||
\(207\) | − | 7.75118i | − | 0.538745i | ||||||
\(208\) | −17.8635 | − | 1.08710i | −1.23861 | − | 0.0753771i | ||||
\(209\) | − | 2.75649i | − | 0.190670i | ||||||
\(210\) | −0.503280 | − | 5.66282i | −0.0347296 | − | 0.390772i | ||||
\(211\) | 7.39505 | − | 12.8086i | 0.509096 | − | 0.881780i | −0.490848 | − | 0.871245i | \(-0.663313\pi\) |
0.999945 | − | 0.0105352i | \(-0.00335353\pi\) | |||||||
\(212\) | 4.43238 | − | 2.55904i | 0.304417 | − | 0.175755i | ||||
\(213\) | 5.24662 | − | 5.24662i | 0.359492 | − | 0.359492i | ||||
\(214\) | −5.66192 | + | 21.1306i | −0.387041 | + | 1.44446i | ||||
\(215\) | −0.449761 | + | 1.67853i | −0.0306735 | + | 0.114475i | ||||
\(216\) | −5.03404 | − | 5.03404i | −0.342523 | − | 0.342523i | ||||
\(217\) | 7.84926 | + | 21.4737i | 0.532842 | + | 1.45773i | ||||
\(218\) | −16.9972 | − | 9.81336i | −1.15120 | − | 0.664644i | ||||
\(219\) | −0.240440 | − | 0.897335i | −0.0162474 | − | 0.0606363i | ||||
\(220\) | 1.59713 | 0.107679 | ||||||||
\(221\) | 11.9061 | − | 18.0001i | 0.800891 | − | 1.21082i | ||||
\(222\) | 5.12709i | 0.344108i | ||||||||
\(223\) | −5.52568 | − | 20.6221i | −0.370027 | − | 1.38096i | −0.860477 | − | 0.509490i | \(-0.829834\pi\) |
0.490450 | − | 0.871469i | \(-0.336832\pi\) | |||||||
\(224\) | −8.78161 | − | 7.34809i | −0.586746 | − | 0.490965i | ||||
\(225\) | 2.15363 | − | 1.24340i | 0.143575 | − | 0.0828933i | ||||
\(226\) | 9.61760 | + | 9.61760i | 0.639753 | + | 0.639753i | ||||
\(227\) | −13.0566 | − | 3.49849i | −0.866594 | − | 0.232203i | −0.201980 | − | 0.979390i | \(-0.564738\pi\) |
−0.664615 | + | 0.747186i | \(0.731404\pi\) | |||||||
\(228\) | 1.39966 | + | 0.375037i | 0.0926946 | + | 0.0248374i | ||||
\(229\) | 5.08550 | + | 5.08550i | 0.336059 | + | 0.336059i | 0.854882 | − | 0.518823i | \(-0.173629\pi\) |
−0.518823 | + | 0.854882i | \(0.673629\pi\) | |||||||
\(230\) | 8.72153 | − | 5.03538i | 0.575081 | − | 0.332023i | ||||
\(231\) | 1.27047 | + | 1.06307i | 0.0835905 | + | 0.0699452i | ||||
\(232\) | 3.77813 | + | 14.1002i | 0.248046 | + | 0.925721i | ||||
\(233\) | 23.2048i | 1.52019i | 0.649809 | + | 0.760097i | \(0.274849\pi\) | ||||
−0.649809 | + | 0.760097i | \(0.725151\pi\) | |||||||
\(234\) | 4.96816 | − | 14.8634i | 0.324779 | − | 0.971648i | ||||
\(235\) | 6.16915 | 0.402431 | ||||||||
\(236\) | −0.106572 | − | 0.397731i | −0.00693723 | − | 0.0258901i | ||||
\(237\) | 6.40827 | + | 3.69982i | 0.416262 | + | 0.240329i | ||||
\(238\) | 24.9299 | − | 9.11259i | 1.61597 | − | 0.590682i | ||||
\(239\) | −2.77302 | − | 2.77302i | −0.179372 | − | 0.179372i | 0.611710 | − | 0.791082i | \(-0.290482\pi\) |
−0.791082 | + | 0.611710i | \(0.790482\pi\) | |||||||
\(240\) | 1.64699 | − | 6.14666i | 0.106313 | − | 0.396765i | ||||
\(241\) | −0.825382 | + | 3.08037i | −0.0531675 | + | 0.198424i | −0.987401 | − | 0.158238i | \(-0.949419\pi\) |
0.934233 | + | 0.356662i | \(0.116085\pi\) | |||||||
\(242\) | 11.8945 | − | 11.8945i | 0.764608 | − | 0.764608i | ||||
\(243\) | 12.3080 | − | 7.10603i | 0.789559 | − | 0.455852i | ||||
\(244\) | −5.27161 | + | 9.13070i | −0.337480 | + | 0.584533i | ||||
\(245\) | −14.0214 | − | 1.18787i | −0.895797 | − | 0.0758903i | ||||
\(246\) | − | 3.65941i | − | 0.233316i | ||||||
\(247\) | −2.02127 | − | 9.91935i | −0.128610 | − | 0.631153i | ||||
\(248\) | 17.2467i | 1.09517i | ||||||||
\(249\) | −1.07834 | + | 0.288939i | −0.0683368 | + | 0.0183108i | ||||
\(250\) | 17.3877 | + | 10.0388i | 1.09970 | + | 0.634910i | ||||
\(251\) | −5.89697 | − | 10.2138i | −0.372213 | − | 0.644692i | 0.617692 | − | 0.786420i | \(-0.288068\pi\) |
−0.989906 | + | 0.141727i | \(0.954734\pi\) | |||||||
\(252\) | 4.54388 | − | 3.19098i | 0.286237 | − | 0.201013i | ||||
\(253\) | −0.759496 | + | 2.83448i | −0.0477491 | + | 0.178202i | ||||
\(254\) | 12.7467 | + | 3.41548i | 0.799802 | + | 0.214306i | ||||
\(255\) | 5.42614 | + | 5.42614i | 0.339798 | + | 0.339798i | ||||
\(256\) | −8.33554 | − | 14.4376i | −0.520971 | − | 0.902349i | ||||
\(257\) | −8.34519 | + | 14.4543i | −0.520559 | + | 0.901634i | 0.479156 | + | 0.877730i | \(0.340943\pi\) |
−0.999714 | + | 0.0239041i | \(0.992390\pi\) | |||||||
\(258\) | 0.892538 | − | 0.239155i | 0.0555670 | − | 0.0148891i | ||||
\(259\) | 12.5006 | + | 2.18648i | 0.776751 | + | 0.135861i | ||||
\(260\) | 5.74735 | − | 1.17114i | 0.356436 | − | 0.0726310i | ||||
\(261\) | −18.9677 | −1.17407 | ||||||||
\(262\) | −8.65857 | − | 32.3142i | −0.534928 | − | 1.99638i | ||||
\(263\) | −4.75769 | + | 8.24055i | −0.293371 | + | 0.508134i | −0.974605 | − | 0.223932i | \(-0.928111\pi\) |
0.681233 | + | 0.732066i | \(0.261444\pi\) | |||||||
\(264\) | 0.624806 | + | 1.08220i | 0.0384542 | + | 0.0666046i | ||||
\(265\) | 8.98993 | − | 8.98993i | 0.552247 | − | 0.552247i | ||||
\(266\) | 5.24633 | − | 11.2913i | 0.321673 | − | 0.692313i | ||||
\(267\) | −4.94418 | − | 1.32479i | −0.302579 | − | 0.0810758i | ||||
\(268\) | −0.490415 | + | 0.490415i | −0.0299569 | + | 0.0299569i | ||||
\(269\) | −0.275945 | + | 0.159317i | −0.0168247 | + | 0.00971373i | −0.508389 | − | 0.861128i | \(-0.669759\pi\) |
0.491564 | + | 0.870841i | \(0.336425\pi\) | |||||||
\(270\) | 10.4085 | + | 6.00936i | 0.633443 | + | 0.365718i | ||||
\(271\) | −25.9248 | + | 6.94654i | −1.57482 | + | 0.421972i | −0.937318 | − | 0.348475i | \(-0.886700\pi\) |
−0.637504 | + | 0.770447i | \(0.720033\pi\) | |||||||
\(272\) | 29.7103 | 1.80145 | ||||||||
\(273\) | 5.35136 | + | 2.89392i | 0.323879 | + | 0.175148i | ||||
\(274\) | 18.0239 | 1.08886 | ||||||||
\(275\) | −0.909381 | + | 0.243668i | −0.0548378 | + | 0.0146937i | ||||
\(276\) | −1.33593 | − | 0.771297i | −0.0804132 | − | 0.0464266i | ||||
\(277\) | −13.1218 | + | 7.57587i | −0.788412 | + | 0.455190i | −0.839403 | − | 0.543509i | \(-0.817095\pi\) |
0.0509909 | + | 0.998699i | \(0.483762\pi\) | |||||||
\(278\) | −19.3092 | + | 19.3092i | −1.15809 | + | 1.15809i | ||||
\(279\) | −21.6463 | − | 5.80010i | −1.29593 | − | 0.347243i | ||||
\(280\) | −9.62645 | − | 4.47278i | −0.575290 | − | 0.267300i | ||||
\(281\) | 5.40600 | − | 5.40600i | 0.322495 | − | 0.322495i | −0.527228 | − | 0.849724i | \(-0.676769\pi\) |
0.849724 | + | 0.527228i | \(0.176769\pi\) | |||||||
\(282\) | −1.64018 | − | 2.84088i | −0.0976714 | − | 0.169172i | ||||
\(283\) | 0.896218 | − | 1.55229i | 0.0532746 | − | 0.0922743i | −0.838158 | − | 0.545427i | \(-0.816367\pi\) |
0.891433 | + | 0.453153i | \(0.149701\pi\) | |||||||
\(284\) | 2.43682 | + | 9.09435i | 0.144599 | + | 0.539650i | ||||
\(285\) | 3.59950 | 0.213216 | ||||||||
\(286\) | −3.27315 | + | 4.94848i | −0.193546 | + | 0.292610i | ||||
\(287\) | −8.92220 | − | 1.56058i | −0.526661 | − | 0.0921180i | ||||
\(288\) | 10.8409 | − | 2.90480i | 0.638803 | − | 0.171167i | ||||
\(289\) | −9.41380 | + | 16.3052i | −0.553753 | + | 0.959128i | ||||
\(290\) | −12.3219 | − | 21.3422i | −0.723567 | − | 1.25325i | ||||
\(291\) | −5.63768 | − | 5.63768i | −0.330487 | − | 0.330487i | ||||
\(292\) | 1.13864 | + | 0.305099i | 0.0666341 | + | 0.0178546i | ||||
\(293\) | 6.85691 | − | 25.5903i | 0.400585 | − | 1.49500i | −0.411471 | − | 0.911423i | \(-0.634985\pi\) |
0.812055 | − | 0.583580i | \(-0.198349\pi\) | |||||||
\(294\) | 3.18085 | + | 6.77266i | 0.185511 | + | 0.394990i | ||||
\(295\) | −0.511424 | − | 0.885812i | −0.0297762 | − | 0.0515739i | ||||
\(296\) | 8.29035 | + | 4.78644i | 0.481867 | + | 0.278206i | ||||
\(297\) | −3.38275 | + | 0.906405i | −0.196287 | + | 0.0525950i | ||||
\(298\) | − | 31.3534i | − | 1.81625i | ||||||
\(299\) | −0.654624 | + | 10.7569i | −0.0378579 | + | 0.622089i | ||||
\(300\) | − | 0.494908i | − | 0.0285735i | ||||||
\(301\) | −0.202468 | − | 2.27813i | −0.0116700 | − | 0.131309i | ||||
\(302\) | −0.0305339 | + | 0.0528863i | −0.00175703 | + | 0.00304327i | ||||
\(303\) | 4.41644 | − | 2.54983i | 0.253718 | − | 0.146484i | ||||
\(304\) | 9.85437 | − | 9.85437i | 0.565187 | − | 0.565187i | ||||
\(305\) | −6.77851 | + | 25.2978i | −0.388136 | + | 1.44855i | ||||
\(306\) | −6.73363 | + | 25.1302i | −0.384936 | + | 1.43660i | ||||
\(307\) | −1.54710 | − | 1.54710i | −0.0882978 | − | 0.0882978i | 0.661578 | − | 0.749876i | \(-0.269887\pi\) |
−0.749876 | + | 0.661578i | \(0.769887\pi\) | |||||||
\(308\) | −1.97429 | + | 0.721658i | −0.112495 | + | 0.0411203i | ||||
\(309\) | 5.71005 | + | 3.29670i | 0.324833 | + | 0.187543i | ||||
\(310\) | −7.53581 | − | 28.1240i | −0.428005 | − | 1.59734i | ||||
\(311\) | 29.3344 | 1.66340 | 0.831699 | − | 0.555226i | \(-0.187368\pi\) | ||||
0.831699 | + | 0.555226i | \(0.187368\pi\) | |||||||
\(312\) | 3.04194 | + | 3.43618i | 0.172216 | + | 0.194535i | ||||
\(313\) | 27.9847i | 1.58179i | 0.611954 | + | 0.790893i | \(0.290384\pi\) | ||||
−0.611954 | + | 0.790893i | \(0.709616\pi\) | |||||||
\(314\) | −3.11844 | − | 11.6382i | −0.175984 | − | 0.656781i | ||||
\(315\) | 8.85116 | − | 10.5779i | 0.498707 | − | 0.595998i | ||||
\(316\) | −8.13157 | + | 4.69476i | −0.457436 | + | 0.264101i | ||||
\(317\) | 5.56105 | + | 5.56105i | 0.312340 | + | 0.312340i | 0.845815 | − | 0.533476i | \(-0.179114\pi\) |
−0.533476 | + | 0.845815i | \(0.679114\pi\) | |||||||
\(318\) | −6.52998 | − | 1.74970i | −0.366183 | − | 0.0981185i | ||||
\(319\) | 6.93616 | + | 1.85854i | 0.388350 | + | 0.104058i | ||||
\(320\) | −3.80014 | − | 3.80014i | −0.212434 | − | 0.212434i | ||||
\(321\) | 7.20862 | − | 4.16190i | 0.402346 | − | 0.232295i | ||||
\(322\) | −8.50586 | + | 10.1652i | −0.474013 | + | 0.566487i | ||||
\(323\) | 4.34961 | + | 16.2330i | 0.242019 | + | 0.903227i | ||||
\(324\) | 4.45486i | 0.247492i | ||||||||
\(325\) | −3.09377 | + | 1.54368i | −0.171612 | + | 0.0856279i | ||||
\(326\) | 27.5811 | 1.52758 | ||||||||
\(327\) | 1.93285 | + | 7.21349i | 0.106887 | + | 0.398907i | ||||
\(328\) | −5.91716 | − | 3.41627i | −0.326720 | − | 0.188632i | ||||
\(329\) | −7.62596 | + | 2.78750i | −0.420433 | + | 0.153680i | ||||
\(330\) | −1.49172 | − | 1.49172i | −0.0821165 | − | 0.0821165i | ||||
\(331\) | 4.21415 | − | 15.7274i | 0.231630 | − | 0.864457i | −0.748008 | − | 0.663689i | \(-0.768990\pi\) |
0.979639 | − | 0.200767i | \(-0.0643436\pi\) | |||||||
\(332\) | 0.366640 | − | 1.36832i | 0.0201220 | − | 0.0750963i | ||||
\(333\) | −8.79550 | + | 8.79550i | −0.481990 | + | 0.481990i | ||||
\(334\) | 9.75792 | − | 5.63374i | 0.533929 | − | 0.308264i | ||||
\(335\) | −0.861417 | + | 1.49202i | −0.0470642 | + | 0.0815176i | ||||
\(336\) | 0.741421 | + | 8.34234i | 0.0404478 | + | 0.455112i | ||||
\(337\) | − | 11.0114i | − | 0.599827i | −0.953966 | − | 0.299913i | \(-0.903042\pi\) | ||
0.953966 | − | 0.299913i | \(-0.0969578\pi\) | |||||||
\(338\) | −8.14999 | + | 20.2075i | −0.443301 | + | 1.09914i | ||||
\(339\) | − | 5.17531i | − | 0.281084i | ||||||
\(340\) | −9.40553 | + | 2.52020i | −0.510086 | + | 0.136677i | ||||
\(341\) | 7.34737 | + | 4.24200i | 0.397882 | + | 0.229717i | ||||
\(342\) | 6.10183 | + | 10.5687i | 0.329949 | + | 0.571488i | ||||
\(343\) | 17.8693 | − | 4.86715i | 0.964850 | − | 0.262801i | ||||
\(344\) | 0.446530 | − | 1.66647i | 0.0240753 | − | 0.0898501i | ||||
\(345\) | −3.70135 | − | 0.991773i | −0.199274 | − | 0.0533953i | ||||
\(346\) | −11.2796 | − | 11.2796i | −0.606396 | − | 0.606396i | ||||
\(347\) | −2.36362 | − | 4.09391i | −0.126886 | − | 0.219772i | 0.795583 | − | 0.605845i | \(-0.207165\pi\) |
−0.922468 | + | 0.386073i | \(0.873831\pi\) | |||||||
\(348\) | −1.88741 | + | 3.26910i | −0.101176 | + | 0.175242i | ||||
\(349\) | −22.4353 | + | 6.01151i | −1.20093 | + | 0.321789i | −0.803198 | − | 0.595712i | \(-0.796870\pi\) |
−0.397734 | + | 0.917501i | \(0.630203\pi\) | |||||||
\(350\) | −4.18883 | − | 0.732666i | −0.223902 | − | 0.0391626i | ||||
\(351\) | −11.5083 | + | 5.74223i | −0.614269 | + | 0.306498i | ||||
\(352\) | −4.24895 | −0.226470 | ||||||||
\(353\) | −3.40370 | − | 12.7028i | −0.181161 | − | 0.676101i | −0.995420 | − | 0.0955993i | \(-0.969523\pi\) |
0.814259 | − | 0.580501i | \(-0.197143\pi\) | |||||||
\(354\) | −0.271943 | + | 0.471019i | −0.0144536 | + | 0.0250344i | ||||
\(355\) | 11.6940 | + | 20.2546i | 0.620652 | + | 1.07500i | ||||
\(356\) | 4.59271 | − | 4.59271i | 0.243413 | − | 0.243413i | ||||
\(357\) | −9.15927 | − | 4.25572i | −0.484760 | − | 0.225236i | ||||
\(358\) | −9.72526 | − | 2.60588i | −0.513996 | − | 0.137725i | ||||
\(359\) | 6.64709 | − | 6.64709i | 0.350820 | − | 0.350820i | −0.509594 | − | 0.860415i | \(-0.670205\pi\) |
0.860415 | + | 0.509594i | \(0.170205\pi\) | |||||||
\(360\) | 9.01037 | − | 5.20214i | 0.474888 | − | 0.274177i | ||||
\(361\) | −9.62761 | − | 5.55850i | −0.506716 | − | 0.292553i | ||||
\(362\) | 9.81032 | − | 2.62867i | 0.515619 | − | 0.138160i | ||||
\(363\) | −6.40052 | −0.335940 | ||||||||
\(364\) | −6.57539 | + | 4.04462i | −0.344644 | + | 0.211996i | ||||
\(365\) | 2.92826 | 0.153272 | ||||||||
\(366\) | 13.4518 | − | 3.60439i | 0.703135 | − | 0.188404i | ||||
\(367\) | −6.33897 | − | 3.65981i | −0.330892 | − | 0.191040i | 0.325345 | − | 0.945595i | \(-0.394519\pi\) |
−0.656237 | + | 0.754555i | \(0.727853\pi\) | |||||||
\(368\) | −12.8484 | + | 7.41801i | −0.669767 | + | 0.386690i | ||||
\(369\) | 6.27770 | − | 6.27770i | 0.326804 | − | 0.326804i | ||||
\(370\) | −15.6104 | − | 4.18279i | −0.811544 | − | 0.217453i | ||||
\(371\) | −7.05079 | + | 15.1749i | −0.366059 | + | 0.787843i | ||||
\(372\) | −3.15361 | + | 3.15361i | −0.163507 | + | 0.163507i | ||||
\(373\) | 0.542562 | + | 0.939745i | 0.0280928 | + | 0.0486582i | 0.879730 | − | 0.475474i | \(-0.157723\pi\) |
−0.851637 | + | 0.524132i | \(0.824390\pi\) | |||||||
\(374\) | 4.92475 | − | 8.52992i | 0.254653 | − | 0.441072i | ||||
\(375\) | −1.97725 | − | 7.37921i | −0.102105 | − | 0.381061i | ||||
\(376\) | −6.12482 | −0.315863 | ||||||||
\(377\) | 26.3229 | + | 1.60191i | 1.35570 | + | 0.0825025i | ||||
\(378\) | −15.5818 | − | 2.72540i | −0.801439 | − | 0.140179i | ||||
\(379\) | −25.1695 | + | 6.74414i | −1.29287 | + | 0.346423i | −0.838749 | − | 0.544518i | \(-0.816713\pi\) |
−0.454119 | + | 0.890941i | \(0.650046\pi\) | |||||||
\(380\) | −2.28374 | + | 3.95555i | −0.117153 | + | 0.202915i | ||||
\(381\) | −2.51061 | − | 4.34851i | −0.128623 | − | 0.222781i | ||||
\(382\) | −25.6320 | − | 25.6320i | −1.31145 | − | 1.31145i | ||||
\(383\) | −5.14879 | − | 1.37961i | −0.263091 | − | 0.0704950i | 0.124862 | − | 0.992174i | \(-0.460151\pi\) |
−0.387953 | + | 0.921679i | \(0.626818\pi\) | |||||||
\(384\) | −2.16834 | + | 8.09234i | −0.110652 | + | 0.412961i | ||||
\(385\) | −4.27320 | + | 3.00089i | −0.217782 | + | 0.152939i | ||||
\(386\) | 8.12146 | + | 14.0668i | 0.413372 | + | 0.715981i | ||||
\(387\) | 1.94141 | + | 1.12088i | 0.0986876 | + | 0.0569773i | ||||
\(388\) | 9.77221 | − | 2.61846i | 0.496109 | − | 0.132932i | ||||
\(389\) | − | 3.43917i | − | 0.174373i | −0.996192 | − | 0.0871864i | \(-0.972212\pi\) | ||
0.996192 | − | 0.0871864i | \(-0.0277876\pi\) | |||||||
\(390\) | −6.46187 | − | 4.27418i | −0.327210 | − | 0.216432i | ||||
\(391\) | − | 17.8907i | − | 0.904773i | ||||||
\(392\) | 13.9207 | + | 1.17934i | 0.703101 | + | 0.0595654i | ||||
\(393\) | −6.36465 | + | 11.0239i | −0.321054 | + | 0.556082i | ||||
\(394\) | −6.72205 | + | 3.88098i | −0.338652 | + | 0.195521i | ||||
\(395\) | −16.4928 | + | 16.4928i | −0.829841 | + | 0.829841i | ||||
\(396\) | 0.533259 | − | 1.99015i | 0.0267973 | − | 0.100009i | ||||
\(397\) | 0.155514 | − | 0.580386i | 0.00780502 | − | 0.0291287i | −0.961914 | − | 0.273354i | \(-0.911867\pi\) |
0.969719 | + | 0.244225i | \(0.0785336\pi\) | |||||||
\(398\) | 25.5525 | + | 25.5525i | 1.28083 | + | 1.28083i | ||||
\(399\) | −4.44951 | + | 1.62642i | −0.222754 | + | 0.0814229i | ||||
\(400\) | −4.12212 | − | 2.37991i | −0.206106 | − | 0.118995i | ||||
\(401\) | 3.10377 | + | 11.5834i | 0.154995 | + | 0.578448i | 0.999106 | + | 0.0422800i | \(0.0134621\pi\) |
−0.844111 | + | 0.536168i | \(0.819871\pi\) | |||||||
\(402\) | 0.916095 | 0.0456906 | ||||||||
\(403\) | 29.5504 | + | 9.87739i | 1.47201 | + | 0.492028i | ||||
\(404\) | 6.47105i | 0.321947i | ||||||||
\(405\) | 2.86414 | + | 10.6891i | 0.142320 | + | 0.531147i | ||||
\(406\) | 24.8750 | + | 20.8144i | 1.23453 | + | 1.03300i | ||||
\(407\) | 4.07819 | − | 2.35454i | 0.202148 | − | 0.116710i | ||||
\(408\) | −5.38715 | − | 5.38715i | −0.266704 | − | 0.266704i | ||||
\(409\) | 11.2120 | + | 3.00424i | 0.554396 | + | 0.148550i | 0.525131 | − | 0.851022i | \(-0.324016\pi\) |
0.0292657 | + | 0.999572i | \(0.490683\pi\) | |||||||
\(410\) | 11.1418 | + | 2.98542i | 0.550252 | + | 0.147440i | ||||
\(411\) | −4.84940 | − | 4.84940i | −0.239204 | − | 0.239204i | ||||
\(412\) | −7.24558 | + | 4.18324i | −0.356964 | + | 0.206093i | ||||
\(413\) | 1.03244 | + | 0.863907i | 0.0508033 | + | 0.0425101i | ||||
\(414\) | −3.36248 | − | 12.5489i | −0.165257 | − | 0.616747i | ||||
\(415\) | − | 3.51891i | − | 0.172737i | ||||||
\(416\) | −15.2900 | + | 3.11565i | −0.749655 | + | 0.152758i | ||||
\(417\) | 10.3904 | 0.508820 | ||||||||
\(418\) | −1.19577 | − | 4.46267i | −0.0584870 | − | 0.218276i | ||||
\(419\) | −30.9881 | − | 17.8910i | −1.51387 | − | 0.874032i | −0.999868 | − | 0.0162408i | \(-0.994830\pi\) |
−0.513999 | − | 0.857791i | \(-0.671836\pi\) | |||||||
\(420\) | −0.942362 | − | 2.57808i | −0.0459826 | − | 0.125798i | ||||
\(421\) | −3.47255 | − | 3.47255i | −0.169242 | − | 0.169242i | 0.617404 | − | 0.786646i | \(-0.288184\pi\) |
−0.786646 | + | 0.617404i | \(0.788184\pi\) | |||||||
\(422\) | 6.41597 | − | 23.9447i | 0.312325 | − | 1.16561i | ||||
\(423\) | 2.05979 | − | 7.68723i | 0.100150 | − | 0.373766i | ||||
\(424\) | −8.92533 | + | 8.92533i | −0.433452 | + | 0.433452i | ||||
\(425\) | 4.97086 | − | 2.86993i | 0.241122 | − | 0.139212i | ||||
\(426\) | 6.21813 | − | 10.7701i | 0.301269 | − | 0.521814i | ||||
\(427\) | −3.05146 | − | 34.3345i | −0.147671 | − | 1.66156i | ||||
\(428\) | 10.5622i | 0.510544i | ||||||||
\(429\) | 2.21206 | − | 0.450753i | 0.106799 | − | 0.0217625i | ||||
\(430\) | 2.91260i | 0.140458i | ||||||||
\(431\) | −0.474207 | + | 0.127063i | −0.0228418 | + | 0.00612043i | −0.270222 | − | 0.962798i | \(-0.587097\pi\) |
0.247380 | + | 0.968919i | \(0.420430\pi\) | |||||||
\(432\) | −15.3336 | − | 8.85286i | −0.737739 | − | 0.425934i | ||||
\(433\) | 8.89347 | + | 15.4039i | 0.427393 | + | 0.740266i | 0.996641 | − | 0.0818999i | \(-0.0260988\pi\) |
−0.569248 | + | 0.822166i | \(0.692765\pi\) | |||||||
\(434\) | 22.0231 | + | 31.3603i | 1.05714 | + | 1.50534i | ||||
\(435\) | −2.42693 | + | 9.05744i | −0.116363 | + | 0.434271i | ||||
\(436\) | −9.15333 | − | 2.45263i | −0.438365 | − | 0.117460i | ||||
\(437\) | −5.93403 | − | 5.93403i | −0.283863 | − | 0.283863i | ||||
\(438\) | −0.778531 | − | 1.34846i | −0.0371997 | − | 0.0644317i | ||||
\(439\) | 14.3012 | − | 24.7704i | 0.682559 | − | 1.18223i | −0.291639 | − | 0.956529i | \(-0.594200\pi\) |
0.974197 | − | 0.225698i | \(-0.0724662\pi\) | |||||||
\(440\) | −3.80467 | + | 1.01946i | −0.181381 | + | 0.0486008i | ||||
\(441\) | −6.16174 | + | 17.0752i | −0.293416 | + | 0.813104i | ||||
\(442\) | 11.4672 | − | 34.3065i | 0.545437 | − | 1.63179i | ||||
\(443\) | −7.37150 | −0.350231 | −0.175115 | − | 0.984548i | \(-0.556030\pi\) | ||||
−0.175115 | + | 0.984548i | \(0.556030\pi\) | |||||||
\(444\) | 0.640701 | + | 2.39113i | 0.0304063 | + | 0.113478i | ||||
\(445\) | 8.06712 | − | 13.9727i | 0.382418 | − | 0.662368i | ||||
\(446\) | −17.8918 | − | 30.9896i | −0.847203 | − | 1.46740i | ||||
\(447\) | −8.43576 | + | 8.43576i | −0.398998 | + | 0.398998i | ||||
\(448\) | 6.41461 | + | 2.98045i | 0.303062 | + | 0.140813i | ||||
\(449\) | 22.5220 | + | 6.03476i | 1.06288 | + | 0.284798i | 0.747565 | − | 0.664189i | \(-0.231223\pi\) |
0.315315 | + | 0.948987i | \(0.397890\pi\) | |||||||
\(450\) | 2.94728 | − | 2.94728i | 0.138936 | − | 0.138936i | ||||
\(451\) | −2.91077 | + | 1.68053i | −0.137063 | + | 0.0791332i | ||||
\(452\) | 5.68722 | + | 3.28352i | 0.267504 | + | 0.154444i | ||||
\(453\) | 0.0224445 | − | 0.00601399i | 0.00105454 | − | 0.000282562i | ||||
\(454\) | −22.6558 | −1.06329 | ||||||||
\(455\) | −13.1768 | + | 13.9323i | −0.617738 | + | 0.653155i | ||||
\(456\) | −3.57364 | −0.167351 | ||||||||
\(457\) | 4.35841 | − | 1.16783i | 0.203878 | − | 0.0546289i | −0.155435 | − | 0.987846i | \(-0.549678\pi\) |
0.359313 | + | 0.933217i | \(0.383011\pi\) | |||||||
\(458\) | 10.4394 | + | 6.02718i | 0.487800 | + | 0.281631i | ||||
\(459\) | 18.4908 | − | 10.6757i | 0.863076 | − | 0.498297i | ||||
\(460\) | 3.43823 | − | 3.43823i | 0.160308 | − | 0.160308i | ||||
\(461\) | 32.1809 | + | 8.62285i | 1.49882 | + | 0.401606i | 0.912703 | − | 0.408623i | \(-0.133991\pi\) |
0.586112 | + | 0.810230i | \(0.300658\pi\) | |||||||
\(462\) | 2.51801 | + | 1.16996i | 0.117148 | + | 0.0544313i | ||||
\(463\) | 29.0991 | − | 29.0991i | 1.35235 | − | 1.35235i | 0.469321 | − | 0.883028i | \(-0.344499\pi\) |
0.883028 | − | 0.469321i | \(-0.155501\pi\) | |||||||
\(464\) | 18.1524 | + | 31.4408i | 0.842702 | + | 1.45960i | ||||
\(465\) | −5.53934 | + | 9.59441i | −0.256881 | + | 0.444930i | ||||
\(466\) | 10.0663 | + | 37.5678i | 0.466311 | + | 1.74030i | ||||
\(467\) | 5.71733 | 0.264566 | 0.132283 | − | 0.991212i | \(-0.457769\pi\) | ||||
0.132283 | + | 0.991212i | \(0.457769\pi\) | |||||||
\(468\) | 0.459626 | − | 7.55267i | 0.0212462 | − | 0.349122i | ||||
\(469\) | 0.390674 | − | 2.23358i | 0.0180396 | − | 0.103137i | ||||
\(470\) | 9.98767 | − | 2.67619i | 0.460697 | − | 0.123443i | ||||
\(471\) | −2.29227 | + | 3.97033i | −0.105622 | + | 0.182943i | ||||
\(472\) | 0.507749 | + | 0.879447i | 0.0233710 | + | 0.0404798i | ||||
\(473\) | −0.600114 | − | 0.600114i | −0.0275933 | − | 0.0275933i | ||||
\(474\) | 11.9798 | + | 3.20998i | 0.550250 | + | 0.147439i | ||||
\(475\) | 0.696841 | − | 2.60065i | 0.0319733 | − | 0.119326i | ||||
\(476\) | 10.4879 | − | 7.36519i | 0.480710 | − | 0.337583i | ||||
\(477\) | −8.20054 | − | 14.2038i | −0.375477 | − | 0.650345i | ||||
\(478\) | −5.69239 | − | 3.28650i | −0.260364 | − | 0.150321i | ||||
\(479\) | 32.1894 | − | 8.62513i | 1.47077 | − | 0.394092i | 0.567576 | − | 0.823321i | \(-0.307881\pi\) |
0.903196 | + | 0.429229i | \(0.141215\pi\) | |||||||
\(480\) | − | 5.54840i | − | 0.253249i | ||||||
\(481\) | 12.9490 | − | 11.4634i | 0.590425 | − | 0.522685i | ||||
\(482\) | 5.34507i | 0.243461i | ||||||||
\(483\) | 5.02353 | − | 0.446463i | 0.228579 | − | 0.0203148i | ||||
\(484\) | 4.06087 | − | 7.03363i | 0.184585 | − | 0.319711i | ||||
\(485\) | 21.7643 | − | 12.5656i | 0.988265 | − | 0.570575i | ||||
\(486\) | 16.8437 | − | 16.8437i | 0.764045 | − | 0.764045i | ||||
\(487\) | −3.91309 | + | 14.6038i | −0.177319 | + | 0.661763i | 0.818826 | + | 0.574041i | \(0.194625\pi\) |
−0.996145 | + | 0.0877214i | \(0.972041\pi\) | |||||||
\(488\) | 6.72980 | − | 25.1160i | 0.304644 | − | 1.13695i | ||||
\(489\) | −7.42080 | − | 7.42080i | −0.335580 | − | 0.335580i | ||||
\(490\) | −23.2156 | + | 4.15940i | −1.04877 | + | 0.187903i | ||||
\(491\) | −3.79911 | − | 2.19342i | −0.171451 | − | 0.0989875i | 0.411819 | − | 0.911266i | \(-0.364894\pi\) |
−0.583270 | + | 0.812278i | \(0.698227\pi\) | |||||||
\(492\) | −0.457294 | − | 1.70664i | −0.0206164 | − | 0.0769415i | ||||
\(493\) | −43.7798 | −1.97174 | ||||||||
\(494\) | −7.57541 | − | 15.1823i | −0.340834 | − | 0.683084i | ||||
\(495\) | − | 5.11808i | − | 0.230040i | ||||||
\(496\) | 11.1016 | + | 41.4317i | 0.498476 | + | 1.86034i | ||||
\(497\) | −23.6074 | − | 19.7537i | −1.05894 | − | 0.886075i | ||||
\(498\) | −1.62045 | + | 0.935569i | −0.0726142 | + | 0.0419238i | ||||
\(499\) | 14.1707 | + | 14.1707i | 0.634366 | + | 0.634366i | 0.949160 | − | 0.314794i | \(-0.101936\pi\) |
−0.314794 | + | 0.949160i | \(0.601936\pi\) | |||||||
\(500\) | 9.36361 | + | 2.50897i | 0.418753 | + | 0.112205i | ||||
\(501\) | −4.14118 | − | 1.10963i | −0.185014 | − | 0.0495745i | ||||
\(502\) | −13.9778 | − | 13.9778i | −0.623860 | − | 0.623860i | ||||
\(503\) | −0.917016 | + | 0.529439i | −0.0408877 | + | 0.0236065i | −0.520305 | − | 0.853981i | \(-0.674182\pi\) |
0.479417 | + | 0.877587i | \(0.340848\pi\) | |||||||
\(504\) | −8.78756 | + | 10.5019i | −0.391429 | + | 0.467792i | ||||
\(505\) | 4.16041 | + | 15.5268i | 0.185136 | + | 0.690936i | ||||
\(506\) | 4.91841i | 0.218650i | ||||||||
\(507\) | 7.62968 | − | 3.24411i | 0.338846 | − | 0.144076i | ||||
\(508\) | 6.37152 | 0.282691 | ||||||||
\(509\) | 2.91008 | + | 10.8606i | 0.128987 | + | 0.481387i | 0.999950 | − | 0.00996149i | \(-0.00317089\pi\) |
−0.870963 | + | 0.491348i | \(0.836504\pi\) | |||||||
\(510\) | 11.1386 | + | 6.43089i | 0.493227 | + | 0.284765i | ||||
\(511\) | −3.61975 | + | 1.32312i | −0.160128 | + | 0.0585314i | ||||
\(512\) | −1.18017 | − | 1.18017i | −0.0521565 | − | 0.0521565i | ||||
\(513\) | 2.59214 | − | 9.67398i | 0.114446 | − | 0.427117i | ||||
\(514\) | −7.24032 | + | 27.0212i | −0.319357 | + | 1.19186i | ||||
\(515\) | −14.6958 | + | 14.6958i | −0.647573 | + | 0.647573i | ||||
\(516\) | 0.386368 | − | 0.223070i | 0.0170089 | − | 0.00982010i | ||||
\(517\) | −1.50646 | + | 2.60927i | −0.0662541 | + | 0.114755i | ||||
\(518\) | 21.1867 | − | 1.88295i | 0.930888 | − | 0.0827321i | ||||
\(519\) | 6.06965i | 0.266428i | ||||||||
\(520\) | −12.9437 | + | 6.45845i | −0.567621 | + | 0.283222i | ||||
\(521\) | − | 16.9175i | − | 0.741168i | −0.928799 | − | 0.370584i | \(-0.879157\pi\) | ||
0.928799 | − | 0.370584i | \(-0.120843\pi\) | |||||||
\(522\) | −30.7081 | + | 8.22821i | −1.34406 | + | 0.360139i | ||||
\(523\) | −0.268849 | − | 0.155220i | −0.0117560 | − | 0.00678731i | 0.494111 | − | 0.869399i | \(-0.335494\pi\) |
−0.505866 | + | 0.862612i | \(0.668827\pi\) | |||||||
\(524\) | −8.07621 | − | 13.9884i | −0.352811 | − | 0.611086i | ||||
\(525\) | 0.929894 | + | 1.32415i | 0.0405839 | + | 0.0577905i | ||||
\(526\) | −4.12779 | + | 15.4051i | −0.179980 | + | 0.671695i | ||||
\(527\) | −49.9624 | − | 13.3874i | −2.17640 | − | 0.583164i | ||||
\(528\) | 2.19757 | + | 2.19757i | 0.0956370 | + | 0.0956370i | ||||
\(529\) | −7.03308 | − | 12.1816i | −0.305786 | − | 0.529637i | ||||
\(530\) | 10.6546 | − | 18.4543i | 0.462806 | − | 0.801603i | ||||
\(531\) | −1.27455 | + | 0.341514i | −0.0553106 | + | 0.0148204i | ||||
\(532\) | 1.03573 | − | 5.92153i | 0.0449047 | − | 0.256731i | ||||
\(533\) | −9.24224 | + | 8.18188i | −0.400326 | + | 0.354396i | ||||
\(534\) | −8.57918 | −0.371257 | ||||||||
\(535\) | 6.79073 | + | 25.3433i | 0.293589 | + | 1.09569i | ||||
\(536\) | 0.855227 | − | 1.48130i | 0.0369402 | − | 0.0639823i | ||||
\(537\) | 1.91550 | + | 3.31774i | 0.0826599 | + | 0.143171i | ||||
\(538\) | −0.377635 | + | 0.377635i | −0.0162810 | + | 0.0162810i | ||||
\(539\) | 3.92635 | − | 5.64036i | 0.169120 | − | 0.242947i | ||||
\(540\) | 5.60519 | + | 1.50190i | 0.241209 | + | 0.0646317i | ||||
\(541\) | −22.0115 | + | 22.0115i | −0.946347 | + | 0.946347i | −0.998632 | − | 0.0522854i | \(-0.983349\pi\) |
0.0522854 | + | 0.998632i | \(0.483349\pi\) | |||||||
\(542\) | −38.9581 | + | 22.4925i | −1.67340 | + | 0.966135i | ||||
\(543\) | −3.34676 | − | 1.93225i | −0.143623 | − | 0.0829208i | ||||
\(544\) | 25.0221 | − | 6.70465i | 1.07281 | − | 0.287459i | ||||
\(545\) | −23.5396 | −1.00833 | ||||||||
\(546\) | 9.91908 | + | 2.36374i | 0.424497 | + | 0.101159i | ||||
\(547\) | −13.8672 | −0.592920 | −0.296460 | − | 0.955045i | \(-0.595806\pi\) | ||||
−0.296460 | + | 0.955045i | \(0.595806\pi\) | |||||||
\(548\) | 8.40583 | − | 2.25234i | 0.359079 | − | 0.0962150i | ||||
\(549\) | 29.2597 | + | 16.8931i | 1.24877 | + | 0.720980i | ||||
\(550\) | −1.36656 | + | 0.788983i | −0.0582702 | + | 0.0336423i | ||||
\(551\) | −14.5210 | + | 14.5210i | −0.618614 | + | 0.618614i | ||||
\(552\) | 3.67475 | + | 0.984647i | 0.156408 | + | 0.0419094i | ||||
\(553\) | 12.9353 | − | 27.8396i | 0.550063 | − | 1.18386i | ||||
\(554\) | −17.9574 | + | 17.9574i | −0.762936 | + | 0.762936i | ||||
\(555\) | 3.07464 | + | 5.32542i | 0.130511 | + | 0.226052i | ||||
\(556\) | −6.59229 | + | 11.4182i | −0.279575 | + | 0.484238i | ||||
\(557\) | −5.87298 | − | 21.9183i | −0.248846 | − | 0.928706i | −0.971411 | − | 0.237403i | \(-0.923704\pi\) |
0.722565 | − | 0.691303i | \(-0.242963\pi\) | |||||||
\(558\) | −37.5608 | −1.59008 | ||||||||
\(559\) | −2.59959 | − | 1.71949i | −0.109951 | − | 0.0727266i | ||||
\(560\) | −26.0046 | − | 4.54846i | −1.09890 | − | 0.192208i | ||||
\(561\) | −3.62003 | + | 0.969985i | −0.152838 | + | 0.0409528i | ||||
\(562\) | 6.40703 | − | 11.0973i | 0.270264 | − | 0.468111i | ||||
\(563\) | 11.2217 | + | 19.4366i | 0.472940 | + | 0.819156i | 0.999520 | − | 0.0309690i | \(-0.00985932\pi\) |
−0.526580 | + | 0.850125i | \(0.676526\pi\) | |||||||
\(564\) | −1.11994 | − | 1.11994i | −0.0471580 | − | 0.0471580i | ||||
\(565\) | 15.7572 | + | 4.22212i | 0.662909 | + | 0.177626i | ||||
\(566\) | 0.777562 | − | 2.90190i | 0.0326834 | − | 0.121976i | ||||
\(567\) | −8.37033 | − | 11.9192i | −0.351521 | − | 0.500557i | ||||
\(568\) | −11.6100 | − | 20.1090i | −0.487143 | − | 0.843756i | ||||
\(569\) | −11.1921 | − | 6.46175i | −0.469196 | − | 0.270891i | 0.246707 | − | 0.969090i | \(-0.420651\pi\) |
−0.715903 | + | 0.698200i | \(0.753985\pi\) | |||||||
\(570\) | 5.82749 | − | 1.56147i | 0.244087 | − | 0.0654029i | ||||
\(571\) | 17.4421i | 0.729930i | 0.931021 | + | 0.364965i | \(0.118919\pi\) | ||||
−0.931021 | + | 0.364965i | \(0.881081\pi\) | |||||||
\(572\) | −0.908123 | + | 2.71685i | −0.0379705 | + | 0.113597i | ||||
\(573\) | 13.7928i | 0.576202i | ||||||||
\(574\) | −15.1218 | + | 1.34394i | −0.631171 | + | 0.0560949i | ||||
\(575\) | −1.43312 | + | 2.48223i | −0.0597650 | + | 0.103516i | ||||
\(576\) | −6.00409 | + | 3.46646i | −0.250170 | + | 0.144436i | ||||
\(577\) | −10.2002 | + | 10.2002i | −0.424642 | + | 0.424642i | −0.886798 | − | 0.462157i | \(-0.847076\pi\) |
0.462157 | + | 0.886798i | \(0.347076\pi\) | |||||||
\(578\) | −8.16745 | + | 30.4813i | −0.339721 | + | 1.26786i | ||||
\(579\) | 1.59961 | − | 5.96984i | 0.0664776 | − | 0.248098i | ||||
\(580\) | −8.41357 | − | 8.41357i | −0.349354 | − | 0.349354i | ||||
\(581\) | 1.59001 | + | 4.34989i | 0.0659646 | + | 0.180464i | ||||
\(582\) | −11.5729 | − | 6.68160i | −0.479711 | − | 0.276961i | ||||
\(583\) | 1.60705 | + | 5.99760i | 0.0665573 | + | 0.248395i | ||||
\(584\) | −2.90721 | −0.120301 | ||||||||
\(585\) | −3.75297 | − | 18.4176i | −0.155166 | − | 0.761475i | ||||
\(586\) | − | 44.4045i | − | 1.83433i | ||||||
\(587\) | 4.97130 | + | 18.5532i | 0.205188 | + | 0.765771i | 0.989392 | + | 0.145268i | \(0.0464046\pi\) |
−0.784205 | + | 0.620502i | \(0.786929\pi\) | |||||||
\(588\) | 2.32979 | + | 2.76108i | 0.0960790 | + | 0.113865i | ||||
\(589\) | −21.0120 | + | 12.1313i | −0.865783 | + | 0.499860i | ||||
\(590\) | −1.21225 | − | 1.21225i | −0.0499074 | − | 0.0499074i | ||||
\(591\) | 2.85279 | + | 0.764402i | 0.117348 | + | 0.0314433i | ||||
\(592\) | 22.9969 | + | 6.16199i | 0.945165 | + | 0.253256i | ||||
\(593\) | 1.84156 | + | 1.84156i | 0.0756236 | + | 0.0756236i | 0.743907 | − | 0.668283i | \(-0.232971\pi\) |
−0.668283 | + | 0.743907i | \(0.732971\pi\) | |||||||
\(594\) | −5.08337 | + | 2.93489i | −0.208573 | + | 0.120420i | ||||
\(595\) | 20.4296 | − | 24.4152i | 0.837533 | − | 1.00092i | ||||
\(596\) | −3.91804 | − | 14.6223i | −0.160489 | − | 0.598954i | ||||
\(597\) | − | 13.7500i | − | 0.562750i | ||||||
\(598\) | 3.60656 | + | 17.6991i | 0.147483 | + | 0.723771i | ||||
\(599\) | 24.8100 | 1.01371 | 0.506855 | − | 0.862031i | \(-0.330808\pi\) | ||||
0.506855 | + | 0.862031i | \(0.330808\pi\) | |||||||
\(600\) | 0.315903 | + | 1.17896i | 0.0128967 | + | 0.0481310i | ||||
\(601\) | 15.2889 | + | 8.82708i | 0.623649 | + | 0.360064i | 0.778288 | − | 0.627907i | \(-0.216088\pi\) |
−0.154639 | + | 0.987971i | \(0.549422\pi\) | |||||||
\(602\) | −1.31605 | − | 3.60040i | −0.0536381 | − | 0.146741i | ||||
\(603\) | 1.57155 | + | 1.57155i | 0.0639987 | + | 0.0639987i | ||||
\(604\) | −0.00763126 | + | 0.0284803i | −0.000310512 | + | 0.00115885i | ||||
\(605\) | 5.22168 | − | 19.4876i | 0.212291 | − | 0.792282i | ||||
\(606\) | 6.04396 | − | 6.04396i | 0.245519 | − | 0.245519i | ||||
\(607\) | −13.0545 | + | 7.53700i | −0.529864 | + | 0.305917i | −0.740961 | − | 0.671548i | \(-0.765630\pi\) |
0.211097 | + | 0.977465i | \(0.432296\pi\) | |||||||
\(608\) | 6.07556 | − | 10.5232i | 0.246397 | − | 0.426771i | ||||
\(609\) | −1.09253 | − | 12.2929i | −0.0442714 | − | 0.498134i | ||||
\(610\) | 43.8969i | 1.77733i | ||||||||
\(611\) | −3.50775 | + | 10.4942i | −0.141908 | + | 0.424551i | ||||
\(612\) | 12.5615i | 0.507768i | ||||||||
\(613\) | 33.8842 | − | 9.07924i | 1.36857 | − | 0.366707i | 0.501614 | − | 0.865092i | \(-0.332740\pi\) |
0.866956 | + | 0.498384i | \(0.166073\pi\) | |||||||
\(614\) | −3.17585 | − | 1.83358i | −0.128167 | − | 0.0739972i | ||||
\(615\) | −2.19449 | − | 3.80097i | −0.0884904 | − | 0.153270i | ||||
\(616\) | 4.24249 | − | 2.97933i | 0.170935 | − | 0.120040i | ||||
\(617\) | 9.01921 | − | 33.6601i | 0.363100 | − | 1.35511i | −0.506879 | − | 0.862017i | \(-0.669201\pi\) |
0.869979 | − | 0.493089i | \(-0.164132\pi\) | |||||||
\(618\) | 10.6745 | + | 2.86023i | 0.429392 | + | 0.115055i | ||||
\(619\) | −5.61860 | − | 5.61860i | −0.225830 | − | 0.225830i | 0.585118 | − | 0.810948i | \(-0.301048\pi\) |
−0.810948 | + | 0.585118i | \(0.801048\pi\) | |||||||
\(620\) | −7.02896 | − | 12.1745i | −0.282290 | − | 0.488940i | ||||
\(621\) | −5.33095 | + | 9.23348i | −0.213924 | + | 0.370527i | ||||
\(622\) | 47.4915 | − | 12.7253i | 1.90423 | − | 0.510238i | ||||
\(623\) | −3.65864 | + | 20.9173i | −0.146580 | + | 0.838035i | ||||
\(624\) | 9.51949 | + | 6.29663i | 0.381084 | + | 0.252067i | ||||
\(625\) | 19.2857 | 0.771429 | ||||||||
\(626\) | 12.1398 | + | 45.3063i | 0.485204 | + | 1.81081i | ||||
\(627\) | −0.878973 | + | 1.52243i | −0.0351028 | + | 0.0607998i | ||||
\(628\) | −2.90870 | − | 5.03802i | −0.116070 | − | 0.201039i | ||||
\(629\) | −20.3011 | + | 20.3011i | −0.809460 | + | 0.809460i | ||||
\(630\) | 9.74106 | − | 20.9650i | 0.388093 | − | 0.835265i | ||||
\(631\) | 40.9973 | + | 10.9852i | 1.63208 | + | 0.437314i | 0.954517 | − | 0.298155i | \(-0.0963713\pi\) |
0.677559 | + | 0.735469i | \(0.263038\pi\) | |||||||
\(632\) | 16.3743 | − | 16.3743i | 0.651333 | − | 0.651333i | ||||
\(633\) | −8.16866 | + | 4.71618i | −0.324675 | + | 0.187451i | ||||
\(634\) | 11.4156 | + | 6.59079i | 0.453370 | + | 0.261754i | ||||
\(635\) | 15.2880 | − | 4.09642i | 0.606687 | − | 0.162561i | ||||
\(636\) | −3.26404 | −0.129428 | ||||||||
\(637\) | 9.99320 | − | 23.1762i | 0.395945 | − | 0.918274i | ||||
\(638\) | 12.0357 | 0.476497 | ||||||||
\(639\) | 29.1432 | − | 7.80890i | 1.15289 | − | 0.308915i | ||||
\(640\) | −22.8696 | − | 13.2038i | −0.904002 | − | 0.521926i | ||||
\(641\) | −17.7415 | + | 10.2431i | −0.700748 | + | 0.404577i | −0.807626 | − | 0.589695i | \(-0.799248\pi\) |
0.106878 | + | 0.994272i | \(0.465915\pi\) | |||||||
\(642\) | 9.86511 | − | 9.86511i | 0.389345 | − | 0.389345i | ||||
\(643\) | −20.9593 | − | 5.61604i | −0.826556 | − | 0.221475i | −0.179345 | − | 0.983786i | \(-0.557398\pi\) |
−0.647211 | + | 0.762311i | \(0.724065\pi\) | |||||||
\(644\) | −2.69660 | + | 5.80370i | −0.106261 | + | 0.228698i | ||||
\(645\) | 0.783647 | − | 0.783647i | 0.0308561 | − | 0.0308561i | ||||
\(646\) | 14.0838 | + | 24.3939i | 0.554120 | + | 0.959763i | ||||
\(647\) | 19.5669 | − | 33.8908i | 0.769252 | − | 1.33238i | −0.168716 | − | 0.985665i | \(-0.553962\pi\) |
0.937969 | − | 0.346720i | \(-0.112704\pi\) | |||||||
\(648\) | −2.84356 | − | 10.6123i | −0.111706 | − | 0.416891i | ||||
\(649\) | 0.499544 | 0.0196088 | ||||||||
\(650\) | −4.33908 | + | 3.84126i | −0.170193 | + | 0.150666i | ||||
\(651\) | 2.51223 | − | 14.3630i | 0.0984619 | − | 0.562931i | ||||
\(652\) | 12.8630 | − | 3.44664i | 0.503755 | − | 0.134981i | ||||
\(653\) | 14.8092 | − | 25.6503i | 0.579528 | − | 1.00377i | −0.416005 | − | 0.909362i | \(-0.636570\pi\) |
0.995533 | − | 0.0944103i | \(-0.0300966\pi\) | |||||||
\(654\) | 6.25845 | + | 10.8400i | 0.244725 | + | 0.423876i | ||||
\(655\) | −28.3718 | − | 28.3718i | −1.10858 | − | 1.10858i | ||||
\(656\) | −16.4138 | − | 4.39806i | −0.640851 | − | 0.171715i | ||||
\(657\) | 0.977702 | − | 3.64883i | 0.0381438 | − | 0.142355i | ||||
\(658\) | −11.1370 | + | 7.82104i | −0.434165 | + | 0.304896i | ||||
\(659\) | 1.87682 | + | 3.25074i | 0.0731104 | + | 0.126631i | 0.900263 | − | 0.435346i | \(-0.143374\pi\) |
−0.827153 | + | 0.561977i | \(0.810041\pi\) | |||||||
\(660\) | −0.882106 | − | 0.509284i | −0.0343359 | − | 0.0198239i | ||||
\(661\) | −41.9725 | + | 11.2465i | −1.63254 | + | 0.437438i | −0.954651 | − | 0.297726i | \(-0.903772\pi\) |
−0.677889 | + | 0.735164i | \(0.737105\pi\) | |||||||
\(662\) | − | 27.2903i | − | 1.06067i | ||||||
\(663\) | −12.3156 | + | 6.14502i | −0.478298 | + | 0.238653i | ||||
\(664\) | 3.49363i | 0.135579i | ||||||||
\(665\) | −1.32194 | − | 14.8742i | −0.0512625 | − | 0.576797i | ||||
\(666\) | −10.4242 | + | 18.0552i | −0.403928 | + | 0.699623i | ||||
\(667\) | 18.9328 | − | 10.9309i | 0.733081 | − | 0.423244i | ||||
\(668\) | 3.84680 | − | 3.84680i | 0.148837 | − | 0.148837i | ||||
\(669\) | −3.52399 | + | 13.1517i | −0.136245 | + | 0.508475i | ||||
\(670\) | −0.747368 | + | 2.78922i | −0.0288734 | + | 0.107757i | ||||
\(671\) | −9.04453 | − | 9.04453i | −0.349160 | − | 0.349160i | ||||
\(672\) | 2.50702 | + | 6.85863i | 0.0967105 | + | 0.264577i | ||||
\(673\) | 23.1880 | + | 13.3876i | 0.893833 | + | 0.516055i | 0.875194 | − | 0.483771i | \(-0.160733\pi\) |
0.0186390 | + | 0.999826i | \(0.494067\pi\) | |||||||
\(674\) | −4.77675 | − | 17.8271i | −0.183993 | − | 0.686673i | ||||
\(675\) | −3.42064 | −0.131661 | ||||||||
\(676\) | −1.27572 | + | 10.4426i | −0.0490661 | + | 0.401639i | ||||
\(677\) | 20.8667i | 0.801971i | 0.916084 | + | 0.400985i | \(0.131332\pi\) | ||||
−0.916084 | + | 0.400985i | \(0.868668\pi\) | |||||||
\(678\) | −2.24506 | − | 8.37867i | −0.0862209 | − | 0.321781i | ||||
\(679\) | −21.2261 | + | 25.3670i | −0.814582 | + | 0.973497i | ||||
\(680\) | 20.7971 | − | 12.0072i | 0.797532 | − | 0.460456i | ||||
\(681\) | 6.09564 | + | 6.09564i | 0.233585 | + | 0.233585i | ||||
\(682\) | 13.7354 | + | 3.68038i | 0.525954 | + | 0.140929i | ||||
\(683\) | −31.6796 | − | 8.48852i | −1.21219 | − | 0.324804i | −0.404567 | − | 0.914509i | \(-0.632578\pi\) |
−0.807619 | + | 0.589704i | \(0.799244\pi\) | |||||||
\(684\) | 4.16641 | + | 4.16641i | 0.159307 | + | 0.159307i | ||||
\(685\) | 18.7211 | − | 10.8087i | 0.715298 | − | 0.412977i | ||||
\(686\) | 26.8184 | − | 15.6315i | 1.02393 | − | 0.596813i | ||||
\(687\) | −1.18712 | − | 4.43039i | −0.0452914 | − | 0.169030i | ||||
\(688\) | − | 4.29078i | − | 0.163585i | ||||||
\(689\) | 10.1810 | + | 20.4042i | 0.387864 | + | 0.777340i | ||||
\(690\) | −6.42261 | −0.244504 | ||||||||
\(691\) | 11.6421 | + | 43.4491i | 0.442888 | + | 1.65288i | 0.721453 | + | 0.692464i | \(0.243475\pi\) |
−0.278564 | + | 0.960418i | \(0.589859\pi\) | |||||||
\(692\) | −6.67003 | − | 3.85094i | −0.253556 | − | 0.146391i | ||||
\(693\) | 2.31258 | + | 6.32669i | 0.0878477 | + | 0.240331i | ||||
\(694\) | −5.60257 | − | 5.60257i | −0.212671 | − | 0.212671i | ||||
\(695\) | −8.47670 | + | 31.6355i | −0.321540 | + | 1.20000i | ||||
\(696\) | 2.40950 | − | 8.99236i | 0.0913317 | − | 0.340855i | ||||
\(697\) | 14.4897 | − | 14.4897i | 0.548838 | − | 0.548838i | ||||
\(698\) | −33.7142 | + | 19.4649i | −1.27610 | + | 0.736758i | ||||
\(699\) | 7.39940 | − | 12.8161i | 0.279871 | − | 0.484751i | ||||
\(700\) | −2.04510 | + | 0.181757i | −0.0772977 | + | 0.00686978i | ||||
\(701\) | − | 38.7293i | − | 1.46279i | −0.681956 | − | 0.731393i | \(-0.738871\pi\) | ||
0.681956 | − | 0.731393i | \(-0.261129\pi\) | |||||||
\(702\) | −16.1407 | + | 14.2888i | −0.609190 | + | 0.539298i | ||||
\(703\) | 13.4670i | 0.507919i | ||||||||
\(704\) | 2.53525 | − | 0.679319i | 0.0955510 | − | 0.0256028i | ||||
\(705\) | −3.40726 | − | 1.96718i | −0.128325 | − | 0.0740884i | ||||
\(706\) | −11.0210 | − | 19.0889i | −0.414780 | − | 0.718420i | ||||
\(707\) | −12.1586 | − | 17.3136i | −0.457272 | − | 0.651144i | ||||
\(708\) | −0.0679660 | + | 0.253653i | −0.00255432 | + | 0.00953285i | ||||
\(709\) | −28.4986 | − | 7.63617i | −1.07029 | − | 0.286782i | −0.319675 | − | 0.947527i | \(-0.603574\pi\) |
−0.750611 | + | 0.660745i | \(0.770241\pi\) | |||||||
\(710\) | 27.7187 | + | 27.7187i | 1.04026 | + | 1.04026i | ||||
\(711\) | 15.0446 | + | 26.0580i | 0.564215 | + | 0.977250i | ||||
\(712\) | −8.00915 | + | 13.8723i | −0.300156 | + | 0.519885i | ||||
\(713\) | 24.9490 | − | 6.68507i | 0.934348 | − | 0.250358i | ||||
\(714\) | −16.6747 | − | 2.91657i | −0.624036 | − | 0.109150i | ||||
\(715\) | −0.432246 | + | 7.10276i | −0.0161651 | + | 0.265628i | ||||
\(716\) | −4.86122 | −0.181672 | ||||||||
\(717\) | 0.647313 | + | 2.41580i | 0.0241743 | + | 0.0902198i | ||||
\(718\) | 7.87793 | − | 13.6450i | 0.294002 | − | 0.509226i | ||||
\(719\) | 4.23114 | + | 7.32855i | 0.157795 | + | 0.273309i | 0.934073 | − | 0.357082i | \(-0.116228\pi\) |
−0.776278 | + | 0.630390i | \(0.782895\pi\) | |||||||
\(720\) | 18.2970 | − | 18.2970i | 0.681888 | − | 0.681888i | ||||
\(721\) | 11.5259 | − | 24.8063i | 0.429246 | − | 0.923836i | ||||
\(722\) | −17.9981 | − | 4.82258i | −0.669820 | − | 0.179478i | ||||
\(723\) | 1.43811 | − | 1.43811i | 0.0534840 | − | 0.0534840i | ||||
\(724\) | 4.24676 | − | 2.45187i | 0.157830 | − | 0.0911229i | ||||
\(725\) | 6.07418 | + | 3.50693i | 0.225589 | + | 0.130244i | ||||
\(726\) | −10.3623 | + | 2.77656i | −0.384580 | + | 0.103048i | ||||
\(727\) | 3.27056 | 0.121299 | 0.0606493 | − | 0.998159i | \(-0.480683\pi\) | ||||
0.0606493 | + | 0.998159i | \(0.480683\pi\) | |||||||
\(728\) | 13.0821 | − | 13.8322i | 0.484856 | − | 0.512654i | ||||
\(729\) | 7.45103 | 0.275964 | ||||||||
\(730\) | 4.74076 | − | 1.27028i | 0.175463 | − | 0.0470153i | ||||
\(731\) | 4.48103 | + | 2.58712i | 0.165737 | + | 0.0956882i | ||||
\(732\) | 5.82309 | − | 3.36196i | 0.215228 | − | 0.124262i | ||||
\(733\) | 9.76212 | − | 9.76212i | 0.360572 | − | 0.360572i | −0.503451 | − | 0.864023i | \(-0.667937\pi\) |
0.864023 | + | 0.503451i | \(0.167937\pi\) | |||||||
\(734\) | −11.8502 | − | 3.17526i | −0.437400 | − | 0.117201i | ||||
\(735\) | 7.36535 | + | 5.12715i | 0.271675 | + | 0.189118i | ||||
\(736\) | −9.14692 | + | 9.14692i | −0.337160 | + | 0.337160i | ||||
\(737\) | −0.420703 | − | 0.728680i | −0.0154968 | − | 0.0268413i | ||||
\(738\) | 7.44014 | − | 12.8867i | 0.273875 | − | 0.474366i | ||||
\(739\) | 11.0030 | + | 41.0638i | 0.404753 | + | 1.51056i | 0.804512 | + | 0.593937i | \(0.202427\pi\) |
−0.399759 | + | 0.916620i | \(0.630906\pi\) | |||||||
\(740\) | −7.80292 | −0.286841 | ||||||||
\(741\) | −2.04666 | + | 6.12305i | −0.0751861 | + | 0.224936i | ||||
\(742\) | −4.83212 | + | 27.6264i | −0.177393 | + | 1.01420i | ||||
\(743\) | −47.1919 | + | 12.6450i | −1.73130 | + | 0.463901i | −0.980482 | − | 0.196606i | \(-0.937008\pi\) |
−0.750820 | + | 0.660507i | \(0.770341\pi\) | |||||||
\(744\) | 5.49953 | − | 9.52547i | 0.201623 | − | 0.349221i | ||||
\(745\) | −18.8021 | − | 32.5663i | −0.688857 | − | 1.19314i | ||||
\(746\) | 1.28606 | + | 1.28606i | 0.0470858 | + | 0.0470858i | ||||
\(747\) | −4.38484 | − | 1.17491i | −0.160433 | − | 0.0429879i | ||||
\(748\) | 1.23083 | − | 4.59352i | 0.0450036 | − | 0.167956i | ||||
\(749\) | −19.8456 | − | 28.2597i | −0.725142 | − | 1.03259i | ||||
\(750\) | −6.40223 | − | 11.0890i | −0.233776 | − | 0.404913i | ||||
\(751\) | −9.96838 | − | 5.75525i | −0.363751 | − | 0.210012i | 0.306974 | − | 0.951718i | \(-0.400684\pi\) |
−0.670725 | + | 0.741706i | \(0.734017\pi\) | |||||||
\(752\) | −14.7136 | + | 3.94250i | −0.536550 | + | 0.143768i | ||||
\(753\) | 7.52157i | 0.274101i | ||||||||
\(754\) | 43.3109 | − | 8.82548i | 1.57729 | − | 0.321405i | ||||
\(755\) | 0.0732428i | 0.00266558i | ||||||||
\(756\) | −7.60745 | + | 0.676108i | −0.276680 | + | 0.0245898i | ||||
\(757\) | −8.97468 | + | 15.5446i | −0.326190 | + | 0.564978i | −0.981753 | − | 0.190163i | \(-0.939098\pi\) |
0.655562 | + | 0.755141i | \(0.272432\pi\) | |||||||
\(758\) | −37.8230 | + | 21.8371i | −1.37379 | + | 0.793160i | ||||
\(759\) | 1.32332 | − | 1.32332i | 0.0480334 | − | 0.0480334i | ||||
\(760\) | 2.91545 | − | 10.8806i | 0.105754 | − | 0.394681i | ||||
\(761\) | −2.86608 | + | 10.6964i | −0.103895 | + | 0.387743i | −0.998218 | − | 0.0596806i | \(-0.980992\pi\) |
0.894322 | + | 0.447424i | \(0.147658\pi\) | |||||||
\(762\) | −5.95100 | − | 5.95100i | −0.215582 | − | 0.215582i | ||||
\(763\) | 29.0984 | − | 10.6363i | 1.05343 | − | 0.385060i | ||||
\(764\) | −15.1571 | − | 8.75096i | −0.548365 | − | 0.316599i | ||||
\(765\) | 8.07610 | + | 30.1404i | 0.291992 | + | 1.08973i | ||||
\(766\) | −8.93422 | −0.322806 | ||||||||
\(767\) | 1.79763 | − | 0.366304i | 0.0649087 | − | 0.0132265i | ||||
\(768\) | 10.6320i | 0.383648i | ||||||||
\(769\) | −2.87361 | − | 10.7245i | −0.103625 | − | 0.386734i | 0.894561 | − | 0.446947i | \(-0.147489\pi\) |
−0.998186 | + | 0.0602130i | \(0.980822\pi\) | |||||||
\(770\) | −5.61639 | + | 6.71207i | −0.202401 | + | 0.241886i | ||||
\(771\) | 9.21820 | − | 5.32213i | 0.331986 | − | 0.191672i | ||||
\(772\) | 5.54545 | + | 5.54545i | 0.199585 | + | 0.199585i | ||||
\(773\) | 2.67962 | + | 0.718001i | 0.0963792 | + | 0.0258247i | 0.306686 | − | 0.951811i | \(-0.400780\pi\) |
−0.210307 | + | 0.977635i | \(0.567446\pi\) | |||||||
\(774\) | 3.62933 | + | 0.972476i | 0.130454 | + | 0.0349549i | ||||
\(775\) | 5.85959 | + | 5.85959i | 0.210483 | + | 0.210483i | ||||
\(776\) | −21.6079 | + | 12.4753i | −0.775678 | + | 0.447838i | ||||
\(777\) | −6.20697 | − | 5.19374i | −0.222674 | − | 0.186324i | ||||
\(778\) | −1.49192 | − | 5.56791i | −0.0534879 | − | 0.199619i | ||||
\(779\) | − | 9.61197i | − | 0.344385i | ||||||
\(780\) | −3.54775 | − | 1.18585i | −0.127030 | − | 0.0424604i | ||||
\(781\) | −11.4223 | −0.408724 | ||||||||
\(782\) | −7.76103 | − | 28.9646i | −0.277534 | − | 1.03577i | ||||
\(783\) | 22.5949 | + | 13.0452i | 0.807477 | + | 0.466197i | ||||
\(784\) | 34.2007 | − | 6.12754i | 1.22145 | − | 0.218841i | ||||
\(785\) | −10.2183 | − | 10.2183i | −0.364707 | − | 0.364707i | ||||
\(786\) | −5.52199 | + | 20.6083i | −0.196963 | + | 0.735075i | ||||
\(787\) | −10.0968 | + | 37.6817i | −0.359912 | + | 1.34321i | 0.514278 | + | 0.857624i | \(0.328060\pi\) |
−0.874189 | + | 0.485585i | \(0.838607\pi\) | |||||||
\(788\) | −2.64999 | + | 2.64999i | −0.0944020 | + | 0.0944020i | ||||
\(789\) | 5.25540 | − | 3.03421i | 0.187097 | − | 0.108021i | ||||
\(790\) | −19.5467 | + | 33.8559i | −0.695441 | + | 1.20454i | ||||
\(791\) | −21.3859 | + | 1.90066i | −0.760395 | + | 0.0675796i | ||||
\(792\) | 5.08130i | 0.180556i | ||||||||
\(793\) | −39.1793 | − | 25.9150i | −1.39130 | − | 0.920269i | ||||
\(794\) | − | 1.00709i | − | 0.0357403i | ||||||
\(795\) | −7.83185 | + | 2.09854i | −0.277767 | + | 0.0744275i | ||||
\(796\) | 15.1101 | + | 8.72381i | 0.535563 | + | 0.309207i | ||||
\(797\) | −16.0998 | − | 27.8857i | −0.570285 | − | 0.987763i | −0.996536 | − | 0.0831583i | \(-0.973499\pi\) |
0.426251 | − | 0.904605i | \(-0.359834\pi\) | |||||||
\(798\) | −6.49808 | + | 4.56333i | −0.230030 | + | 0.161540i | ||||
\(799\) | 4.75426 | − | 17.7431i | 0.168193 | − | 0.627707i | ||||
\(800\) | −4.00873 | − | 1.07414i | −0.141730 | − | 0.0379764i | ||||
\(801\) | −14.7175 | − | 14.7175i | −0.520018 | − | 0.520018i | ||||
\(802\) | 10.0498 | + | 17.4068i | 0.354871 | + | 0.614655i | ||||
\(803\) | −0.715059 | + | 1.23852i | −0.0252339 | + | 0.0437064i | ||||
\(804\) | 0.427240 | − | 0.114479i | 0.0150676 | − | 0.00403735i | ||||
\(805\) | −2.73896 | + | 15.6593i | −0.0965356 | + | 0.551917i | ||||
\(806\) | 52.1261 | + | 3.17219i | 1.83606 | + | 0.111736i | ||||
\(807\) | 0.203208 | 0.00715327 | ||||||||
\(808\) | −4.13051 | − | 15.4153i | −0.145311 | − | 0.542308i | ||||
\(809\) | −5.89662 | + | 10.2133i | −0.207314 | + | 0.359079i | −0.950868 | − | 0.309598i | \(-0.899806\pi\) |
0.743553 | + | 0.668677i | \(0.233139\pi\) | |||||||
\(810\) | 9.27392 | + | 16.0629i | 0.325852 | + | 0.564393i | ||||
\(811\) | 14.4330 | − | 14.4330i | 0.506811 | − | 0.506811i | −0.406735 | − | 0.913546i | \(-0.633333\pi\) |
0.913546 | + | 0.406735i | \(0.133333\pi\) | |||||||
\(812\) | 14.2020 | + | 6.59876i | 0.498394 | + | 0.231571i | ||||
\(813\) | 16.5335 | + | 4.43015i | 0.579856 | + | 0.155372i | ||||
\(814\) | 5.58107 | − | 5.58107i | 0.195616 | − | 0.195616i | ||||
\(815\) | 28.6480 | − | 16.5399i | 1.00350 | − | 0.579369i | ||||
\(816\) | −16.4092 | − | 9.47385i | −0.574436 | − | 0.331651i | ||||
\(817\) | 2.34438 | − | 0.628174i | 0.0820194 | − | 0.0219770i | ||||
\(818\) | 19.4551 | 0.680232 | ||||||||
\(819\) | 12.9611 | + | 21.0711i | 0.452899 | + | 0.736284i | ||||
\(820\) | 5.56926 | 0.194487 | ||||||||
\(821\) | 8.75856 | − | 2.34685i | 0.305676 | − | 0.0819056i | −0.102721 | − | 0.994710i | \(-0.532755\pi\) |
0.408396 | + | 0.912805i | \(0.366088\pi\) | |||||||
\(822\) | −9.95473 | − | 5.74736i | −0.347211 | − | 0.200462i | ||||
\(823\) | −14.1019 | + | 8.14175i | −0.491562 | + | 0.283804i | −0.725222 | − | 0.688515i | \(-0.758263\pi\) |
0.233660 | + | 0.972318i | \(0.424930\pi\) | |||||||
\(824\) | 14.5902 | − | 14.5902i | 0.508273 | − | 0.508273i | ||||
\(825\) | 0.579957 | + | 0.155399i | 0.0201915 | + | 0.00541030i | ||||
\(826\) | 2.04626 | + | 0.950764i | 0.0711985 | + | 0.0330813i | ||||
\(827\) | −27.1227 | + | 27.1227i | −0.943148 | + | 0.943148i | −0.998469 | − | 0.0553203i | \(-0.982382\pi\) |
0.0553203 | + | 0.998469i | \(0.482382\pi\) | |||||||
\(828\) | −3.13632 | − | 5.43227i | −0.108995 | − | 0.188785i | ||||
\(829\) | −1.40529 | + | 2.43404i | −0.0488079 | + | 0.0845377i | −0.889397 | − | 0.457135i | \(-0.848876\pi\) |
0.840589 | + | 0.541673i | \(0.182209\pi\) | |||||||
\(830\) | −1.52651 | − | 5.69702i | −0.0529860 | − | 0.197746i | ||||
\(831\) | 9.66300 | 0.335206 | ||||||||
\(832\) | 8.62510 | − | 4.30360i | 0.299021 | − | 0.149201i | ||||
\(833\) | −14.2221 | + | 39.4117i | −0.492766 | + | 1.36554i | ||||
\(834\) | 16.8218 | − | 4.50738i | 0.582490 | − | 0.156078i | ||||
\(835\) | 6.75692 | − | 11.7033i | 0.233833 | − | 0.405010i | ||||
\(836\) | −1.11534 | − | 1.93183i | −0.0385750 | − | 0.0668138i | ||||
\(837\) | 21.7967 | + | 21.7967i | 0.753405 | + | 0.753405i | ||||
\(838\) | −57.9299 | − | 15.5223i | −2.00116 | − | 0.536208i | ||||
\(839\) | −9.79321 | + | 36.5488i | −0.338099 | + | 1.26180i | 0.562371 | + | 0.826885i | \(0.309889\pi\) |
−0.900470 | + | 0.434918i | \(0.856777\pi\) | |||||||
\(840\) | 3.89049 | + | 5.53997i | 0.134235 | + | 0.191147i | ||||
\(841\) | −12.2485 | − | 21.2150i | −0.422363 | − | 0.731553i | ||||
\(842\) | −7.12836 | − | 4.11556i | −0.245660 | − | 0.141832i | ||||
\(843\) | −4.70961 | + | 1.26194i | −0.162207 | + | 0.0434634i | ||||
\(844\) | − | 11.9689i | − | 0.411986i | ||||||
\(845\) | 3.65283 | + | 25.8765i | 0.125661 | + | 0.890180i | ||||
\(846\) | − | 13.3389i | − | 0.458602i | ||||||
\(847\) | 2.35062 | + | 26.4488i | 0.0807684 | + | 0.908793i | ||||
\(848\) | −15.6961 | + | 27.1864i | −0.539006 | + | 0.933586i | ||||
\(849\) | −0.989973 | + | 0.571561i | −0.0339758 | + | 0.0196159i | ||||
\(850\) | 6.80270 | − | 6.80270i | 0.233331 | − | 0.233331i | ||||
\(851\) | 3.71058 | − | 13.8481i | 0.127197 | − | 0.474706i | ||||
\(852\) | 1.55408 | − | 5.79991i | 0.0532419 | − | 0.198702i | ||||
\(853\) | 7.88711 | + | 7.88711i | 0.270050 | + | 0.270050i | 0.829120 | − | 0.559070i | \(-0.188842\pi\) |
−0.559070 | + | 0.829120i | \(0.688842\pi\) | |||||||
\(854\) | −19.8346 | − | 54.2629i | −0.678726 | − | 1.85684i | ||||
\(855\) | 12.6757 | + | 7.31833i | 0.433501 | + | 0.250282i | ||||
\(856\) | −6.74193 | − | 25.1612i | −0.230434 | − | 0.859993i | ||||
\(857\) | 17.7293 | 0.605621 | 0.302811 | − | 0.953051i | \(-0.402075\pi\) | ||||
0.302811 | + | 0.953051i | \(0.402075\pi\) | |||||||
\(858\) | 3.38573 | − | 1.68935i | 0.115587 | − | 0.0576735i | ||||
\(859\) | 3.70465i | 0.126401i | 0.998001 | + | 0.0632005i | \(0.0201308\pi\) | ||||
−0.998001 | + | 0.0632005i | \(0.979869\pi\) | |||||||
\(860\) | 0.363970 | + | 1.35835i | 0.0124113 | + | 0.0463195i | ||||
\(861\) | 4.43016 | + | 3.70698i | 0.150980 | + | 0.126333i | ||||
\(862\) | −0.712607 | + | 0.411424i | −0.0242715 | + | 0.0140132i | ||||
\(863\) | 27.8842 | + | 27.8842i | 0.949191 | + | 0.949191i | 0.998770 | − | 0.0495793i | \(-0.0157881\pi\) |
−0.0495793 | + | 0.998770i | \(0.515788\pi\) | |||||||
\(864\) | −14.9118 | − | 3.99561i | −0.507310 | − | 0.135933i | ||||
\(865\) | −18.4801 | − | 4.95174i | −0.628344 | − | 0.168364i | ||||
\(866\) | 21.0805 | + | 21.0805i | 0.716345 | + | 0.716345i | ||||
\(867\) | 10.3986 | − | 6.00364i | 0.353155 | − | 0.203894i | ||||
\(868\) | 14.1898 | + | 11.8735i | 0.481634 | + | 0.403012i | ||||
\(869\) | −2.94827 | − | 11.0031i | −0.100013 | − | 0.373254i | ||||
\(870\) | 15.7165i | 0.532841i | ||||||||
\(871\) | −2.04824 | − | 2.31369i | −0.0694021 | − | 0.0783966i | ||||
\(872\) | 23.3705 | 0.791425 | ||||||||
\(873\) | −8.39095 | − | 31.3155i | −0.283991 | − | 1.05987i | ||||
\(874\) | −12.1812 | − | 7.03283i | −0.412036 | − | 0.237889i | ||||
\(875\) | −29.7669 | + | 10.8806i | −1.00631 | + | 0.367833i | ||||
\(876\) | −0.531592 | − | 0.531592i | −0.0179608 | − | 0.0179608i | ||||
\(877\) | −10.3037 | + | 38.4541i | −0.347933 | + | 1.29850i | 0.541215 | + | 0.840884i | \(0.317964\pi\) |
−0.889148 | + | 0.457619i | \(0.848702\pi\) | |||||||
\(878\) | 12.4078 | − | 46.3064i | 0.418742 | − | 1.56277i | ||||
\(879\) | −11.9472 | + | 11.9472i | −0.402970 | + | 0.402970i | ||||
\(880\) | −8.48373 | + | 4.89808i | −0.285986 | + | 0.165114i | ||||
\(881\) | −1.49665 | + | 2.59227i | −0.0504233 | + | 0.0873357i | −0.890135 | − | 0.455696i | \(-0.849390\pi\) |
0.839712 | + | 0.543032i | \(0.182724\pi\) | |||||||
\(882\) | −2.56842 | + | 30.3172i | −0.0864832 | + | 1.02083i | ||||
\(883\) | − | 1.38623i | − | 0.0466504i | −0.999728 | − | 0.0233252i | \(-0.992575\pi\) | ||
0.999728 | − | 0.0233252i | \(-0.00742531\pi\) | |||||||
\(884\) | 1.06088 | − | 17.4325i | 0.0356811 | − | 0.586320i | ||||
\(885\) | 0.652319i | 0.0219275i | ||||||||
\(886\) | −11.9342 | + | 3.19777i | −0.400939 | + | 0.107431i | ||||
\(887\) | −30.8094 | − | 17.7878i | −1.03448 | − | 0.597256i | −0.116214 | − | 0.993224i | \(-0.537076\pi\) |
−0.918264 | + | 0.395968i | \(0.870409\pi\) | |||||||
\(888\) | −3.05254 | − | 5.28716i | −0.102437 | − | 0.177425i | ||||
\(889\) | −17.0473 | + | 11.9716i | −0.571747 | + | 0.401515i | ||||
\(890\) | 6.99906 | − | 26.1209i | 0.234609 | − | 0.875573i | ||||
\(891\) | −5.22041 | − | 1.39881i | −0.174890 | − | 0.0468617i | ||||
\(892\) | −12.2168 | − | 12.2168i | −0.409049 | − | 0.409049i | ||||
\(893\) | −4.30817 | − | 7.46197i | −0.144168 | − | 0.249705i | ||||
\(894\) | −9.99780 | + | 17.3167i | −0.334376 | + | 0.579157i | ||||
\(895\) | −11.6642 | + | 3.12540i | −0.389890 | + | 0.104471i | ||||
\(896\) | 34.2363 | + | 5.98825i | 1.14375 | + | 0.200053i | ||||
\(897\) | 3.79166 | − | 5.73238i | 0.126600 | − | 0.191398i | ||||
\(898\) | 39.0804 | 1.30413 | ||||||||
\(899\) | −16.3588 | − | 61.0519i | −0.545597 | − | 2.03620i | ||||
\(900\) | 1.00622 | − | 1.74283i | 0.0335407 | − | 0.0580942i | ||||
\(901\) | −18.9279 | − | 32.7841i | −0.630580 | − | 1.09220i | ||||
\(902\) | −3.98343 | + | 3.98343i | −0.132634 | + | 0.132634i | ||||
\(903\) | −0.614614 | + | 1.32279i | −0.0204531 | + | 0.0440197i | ||||
\(904\) | −15.6439 | − | 4.19178i | −0.520310 | − | 0.139417i | ||||
\(905\) | 8.61344 | − | 8.61344i | 0.286320 | − | 0.286320i | ||||
\(906\) | 0.0337282 | − | 0.0194730i | 0.00112054 | − | 0.000646946i | ||||
\(907\) | −43.1379 | − | 24.9057i | −1.43237 | − | 0.826979i | −0.435068 | − | 0.900398i | \(-0.643276\pi\) |
−0.997301 | + | 0.0734190i | \(0.976609\pi\) | |||||||
\(908\) | −10.5660 | + | 2.83116i | −0.350646 | + | 0.0939553i | ||||
\(909\) | 20.7368 | 0.687795 | ||||||||
\(910\) | −15.2890 | + | 28.2721i | −0.506826 | + | 0.937210i | ||||
\(911\) | −55.7036 | −1.84554 | −0.922772 | − | 0.385347i | \(-0.874082\pi\) | ||||
−0.922772 | + | 0.385347i | \(0.874082\pi\) | |||||||
\(912\) | −8.58493 | + | 2.30033i | −0.284276 | + | 0.0761714i | ||||
\(913\) | 1.48834 | + | 0.859293i | 0.0492568 | + | 0.0284385i | ||||
\(914\) | 6.54953 | − | 3.78137i | 0.216639 | − | 0.125077i | ||||
\(915\) | 11.8106 | − | 11.8106i | 0.390447 | − | 0.390447i | ||||
\(916\) | 5.62180 | + | 1.50636i | 0.185749 | + | 0.0497714i | ||||
\(917\) | 47.8914 | + | 22.2520i | 1.58151 | + | 0.734826i | ||||
\(918\) | 25.3049 | − | 25.3049i | 0.835187 | − | 0.835187i | ||||
\(919\) | 10.0323 | + | 17.3764i | 0.330934 | + | 0.573194i | 0.982695 | − | 0.185230i | \(-0.0593030\pi\) |
−0.651762 | + | 0.758424i | \(0.725970\pi\) | |||||||
\(920\) | −5.99587 | + | 10.3852i | −0.197678 | + | 0.342388i | ||||
\(921\) | 0.361144 | + | 1.34781i | 0.0119001 | + | 0.0444117i | ||||
\(922\) | 55.8406 | 1.83901 | ||||||||
\(923\) | −41.1038 | + | 8.37574i | −1.35295 | + | 0.275691i | ||||
\(924\) | 1.32053 | + | 0.230973i | 0.0434422 | + | 0.00759846i | ||||
\(925\) | 4.44286 | − | 1.19046i | 0.146080 | − | 0.0391421i | ||||
\(926\) | 34.4873 | − | 59.7338i | 1.13332 | − | 1.96297i | ||||
\(927\) | 13.4054 | + | 23.2188i | 0.440290 | + | 0.762605i | ||||
\(928\) | 22.3831 | + | 22.3831i | 0.734762 | + | 0.734762i | ||||
\(929\) | 30.5947 | + | 8.19783i | 1.00378 | + | 0.268962i | 0.723029 | − | 0.690818i | \(-0.242749\pi\) |
0.280752 | + | 0.959780i | \(0.409416\pi\) | |||||||
\(930\) | −4.80595 | + | 17.9360i | −0.157593 | + | 0.588146i | ||||
\(931\) | 8.35495 | + | 17.7894i | 0.273823 | + | 0.583023i | ||||
\(932\) | 9.38923 | + | 16.2626i | 0.307555 | + | 0.532700i | ||||
\(933\) | −16.2016 | − | 9.35397i | −0.530415 | − | 0.306235i | ||||
\(934\) | 9.25619 | − | 2.48019i | 0.302872 | − | 0.0811542i | ||||
\(935\) | − | 11.8132i | − | 0.386332i | ||||||
\(936\) | 3.72600 | + | 18.2853i | 0.121788 | + | 0.597674i | ||||
\(937\) | 43.3600i | 1.41651i | 0.705957 | + | 0.708255i | \(0.250517\pi\) | ||||
−0.705957 | + | 0.708255i | \(0.749483\pi\) | |||||||
\(938\) | −0.336440 | − | 3.78557i | −0.0109852 | − | 0.123603i | ||||
\(939\) | 8.92359 | − | 15.4561i | 0.291210 | − | 0.504391i | ||||
\(940\) | 4.32353 | − | 2.49619i | 0.141018 | − | 0.0814168i | ||||
\(941\) | 27.4469 | − | 27.4469i | 0.894743 | − | 0.894743i | −0.100222 | − | 0.994965i | \(-0.531955\pi\) |
0.994965 | + | 0.100222i | \(0.0319553\pi\) | |||||||
\(942\) | −1.98878 | + | 7.42224i | −0.0647980 | + | 0.241830i | ||||
\(943\) | −2.64839 | + | 9.88393i | −0.0862435 | + | 0.321865i | ||||
\(944\) | 1.78586 | + | 1.78586i | 0.0581246 | + | 0.0581246i | ||||
\(945\) | −17.8189 | + | 6.51330i | −0.579648 | + | 0.211878i | ||||
\(946\) | −1.23190 | − | 0.711236i | −0.0400524 | − | 0.0231243i | ||||
\(947\) | 10.6763 | + | 39.8444i | 0.346932 | + | 1.29477i | 0.890339 | + | 0.455299i | \(0.150468\pi\) |
−0.543406 | + | 0.839470i | \(0.682866\pi\) | |||||||
\(948\) | 5.98816 | 0.194486 | ||||||||
\(949\) | −1.66499 | + | 4.98120i | −0.0540480 | + | 0.161697i | ||||
\(950\) | − | 4.51266i | − | 0.146410i | ||||||
\(951\) | −1.29813 | − | 4.84468i | −0.0420947 | − | 0.157100i | ||||
\(952\) | −20.2828 | + | 24.2397i | −0.657370 | + | 0.785614i | ||||
\(953\) | −9.00364 | + | 5.19825i | −0.291656 | + | 0.168388i | −0.638689 | − | 0.769465i | \(-0.720523\pi\) |
0.347032 | + | 0.937853i | \(0.387189\pi\) | |||||||
\(954\) | −19.4381 | − | 19.4381i | −0.629330 | − | 0.629330i | ||||
\(955\) | −41.9947 | − | 11.2524i | −1.35892 | − | 0.364120i | ||||
\(956\) | −3.06546 | − | 0.821387i | −0.0991439 | − | 0.0265655i | ||||
\(957\) | −3.23824 | − | 3.23824i | −0.104678 | − | 0.104678i | ||||
\(958\) | 48.3721 | − | 27.9277i | 1.56283 | − | 0.902301i | ||||
\(959\) | −18.2582 | + | 21.8201i | −0.589588 | + | 0.704609i | ||||
\(960\) | 0.887075 | + | 3.31061i | 0.0286302 | + | 0.106850i | ||||
\(961\) | − | 43.6760i | − | 1.40890i | ||||||
\(962\) | 15.9913 | − | 24.1762i | 0.515579 | − | 0.779472i | ||||
\(963\) | 33.8471 | 1.09071 | ||||||||
\(964\) | 0.667940 | + | 2.49279i | 0.0215129 | + | 0.0802873i | ||||
\(965\) | 16.8713 | + | 9.74062i | 0.543105 | + | 0.313562i | ||||
\(966\) | 7.93927 | − | 2.90203i | 0.255442 | − | 0.0933712i | ||||
\(967\) | 15.1251 | + | 15.1251i | 0.486390 | + | 0.486390i | 0.907165 | − | 0.420775i | \(-0.138242\pi\) |
−0.420775 | + | 0.907165i | \(0.638242\pi\) | |||||||
\(968\) | −5.18415 | + | 19.3475i | −0.166625 | + | 0.621853i | ||||
\(969\) | 2.77396 | − | 10.3526i | 0.0891124 | − | 0.332572i | ||||
\(970\) | 29.7847 | − | 29.7847i | 0.956331 | − | 0.956331i | ||||
\(971\) | 15.1229 | − | 8.73122i | 0.485318 | − | 0.280198i | −0.237312 | − | 0.971433i | \(-0.576266\pi\) |
0.722630 | + | 0.691235i | \(0.242933\pi\) | |||||||
\(972\) | 5.75056 | − | 9.96026i | 0.184449 | − | 0.319475i | ||||
\(973\) | −3.81593 | − | 42.9362i | −0.122333 | − | 1.37647i | ||||
\(974\) | 25.3407i | 0.811968i | ||||||||
\(975\) | 2.20095 | + | 0.133941i | 0.0704868 | + | 0.00428955i | ||||
\(976\) | − | 64.6679i | − | 2.06997i | ||||||
\(977\) | 11.5532 | − | 3.09568i | 0.369621 | − | 0.0990396i | −0.0692272 | − | 0.997601i | \(-0.522053\pi\) |
0.438848 | + | 0.898561i | \(0.355387\pi\) | |||||||
\(978\) | −15.2332 | − | 8.79490i | −0.487104 | − | 0.281230i | ||||
\(979\) | 3.93986 | + | 6.82405i | 0.125919 | + | 0.218097i | ||||
\(980\) | −10.3073 | + | 4.84093i | −0.329255 | + | 0.154638i | ||||
\(981\) | −7.85955 | + | 29.3322i | −0.250936 | + | 0.936506i | ||||
\(982\) | −7.10215 | − | 1.90302i | −0.226639 | − | 0.0607277i | ||||
\(983\) | −8.69175 | − | 8.69175i | −0.277224 | − | 0.277224i | 0.554776 | − | 0.832000i | \(-0.312804\pi\) |
−0.832000 | + | 0.554776i | \(0.812804\pi\) | |||||||
\(984\) | 2.17872 | + | 3.77366i | 0.0694551 | + | 0.120300i | ||||
\(985\) | −4.65472 | + | 8.06222i | −0.148312 | + | 0.256884i | ||||
\(986\) | −70.8782 | + | 18.9918i | −2.25722 | + | 0.604821i | ||||
\(987\) | 5.10073 | + | 0.892166i | 0.162358 | + | 0.0283980i | ||||
\(988\) | −5.43019 | − | 6.13393i | −0.172757 | − | 0.195146i | ||||
\(989\) | −2.58379 | −0.0821598 | ||||||||
\(990\) | −2.22023 | − | 8.28602i | −0.0705636 | − | 0.263347i | ||||
\(991\) | 19.1774 | − | 33.2162i | 0.609189 | − | 1.05515i | −0.382186 | − | 0.924086i | \(-0.624829\pi\) |
0.991374 | − | 0.131060i | \(-0.0418382\pi\) | |||||||
\(992\) | 18.6996 | + | 32.3886i | 0.593712 | + | 1.02834i | ||||
\(993\) | −7.34257 | + | 7.34257i | −0.233009 | + | 0.233009i | ||||
\(994\) | −46.7889 | − | 21.7397i | −1.48405 | − | 0.689543i | ||||
\(995\) | 41.8644 | + | 11.2175i | 1.32719 | + | 0.355619i | ||||
\(996\) | −0.638820 | + | 0.638820i | −0.0202418 | + | 0.0202418i | ||||
\(997\) | 33.1334 | − | 19.1296i | 1.04935 | − | 0.605840i | 0.126879 | − | 0.991918i | \(-0.459504\pi\) |
0.922466 | + | 0.386078i | \(0.126171\pi\) | |||||||
\(998\) | 29.0891 | + | 16.7946i | 0.920800 | + | 0.531624i | ||||
\(999\) | 16.5267 | − | 4.42832i | 0.522882 | − | 0.140106i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.bc.a.20.7 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.g.748.1 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.423.2 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.215.1 | 32 | |||
7.4 | even | 3 | 637.2.x.b.215.2 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.423.1 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.20.8 | yes | 32 | |
13.2 | odd | 12 | inner | 91.2.bc.a.41.8 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.748.2 | 32 | |||
39.2 | even | 12 | 819.2.fm.g.496.2 | 32 | |||
91.2 | odd | 12 | 637.2.x.b.80.2 | 32 | |||
91.41 | even | 12 | inner | 91.2.bc.a.41.7 | yes | 32 | |
91.54 | even | 12 | 637.2.x.b.80.1 | 32 | |||
91.67 | odd | 12 | 637.2.bb.b.509.1 | 32 | |||
91.80 | even | 12 | 637.2.bb.b.509.2 | 32 | |||
273.41 | odd | 12 | 819.2.fm.g.496.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.7 | ✓ | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.20.8 | yes | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.41.7 | yes | 32 | 91.41 | even | 12 | inner | |
91.2.bc.a.41.8 | yes | 32 | 13.2 | odd | 12 | inner | |
637.2.x.b.80.1 | 32 | 91.54 | even | 12 | |||
637.2.x.b.80.2 | 32 | 91.2 | odd | 12 | |||
637.2.x.b.215.1 | 32 | 7.3 | odd | 6 | |||
637.2.x.b.215.2 | 32 | 7.4 | even | 3 | |||
637.2.bb.b.423.1 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.423.2 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.509.1 | 32 | 91.67 | odd | 12 | |||
637.2.bb.b.509.2 | 32 | 91.80 | even | 12 | |||
819.2.fm.g.496.1 | 32 | 273.41 | odd | 12 | |||
819.2.fm.g.496.2 | 32 | 39.2 | even | 12 | |||
819.2.fm.g.748.1 | 32 | 3.2 | odd | 2 | |||
819.2.fm.g.748.2 | 32 | 21.20 | even | 2 |