Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(77,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.77");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bg (of order \(8\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 389.15 | ||
Character | \(\chi\) | \(=\) | 416.389 |
Dual form | 416.2.bg.a.77.15 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.988066 | − | 1.01179i | −0.698668 | − | 0.715446i | ||||
\(3\) | 0.708345 | + | 1.71010i | 0.408963 | + | 0.987324i | 0.985411 | + | 0.170190i | \(0.0544382\pi\) |
−0.576448 | + | 0.817134i | \(0.695562\pi\) | |||||||
\(4\) | −0.0474507 | + | 1.99944i | −0.0237253 | + | 0.999719i | ||||
\(5\) | 0.188293 | − | 0.454578i | 0.0842070 | − | 0.203294i | −0.876167 | − | 0.482007i | \(-0.839908\pi\) |
0.960374 | + | 0.278713i | \(0.0899080\pi\) | |||||||
\(6\) | 1.03037 | − | 2.40639i | 0.420647 | − | 0.982403i | ||||
\(7\) | 0.461953 | − | 0.461953i | 0.174602 | − | 0.174602i | −0.614396 | − | 0.788998i | \(-0.710600\pi\) |
0.788998 | + | 0.614396i | \(0.210600\pi\) | |||||||
\(8\) | 2.06990 | − | 1.92757i | 0.731821 | − | 0.681497i | ||||
\(9\) | −0.301353 | + | 0.301353i | −0.100451 | + | 0.100451i | ||||
\(10\) | −0.645985 | + | 0.258640i | −0.204278 | + | 0.0817893i | ||||
\(11\) | 1.38159 | + | 0.572271i | 0.416564 | + | 0.172546i | 0.581114 | − | 0.813822i | \(-0.302617\pi\) |
−0.164550 | + | 0.986369i | \(0.552617\pi\) | |||||||
\(12\) | −3.45284 | + | 1.33515i | −0.996749 | + | 0.385423i | ||||
\(13\) | 2.41776 | − | 2.67478i | 0.670566 | − | 0.741850i | ||||
\(14\) | −0.923842 | − | 0.0109608i | −0.246907 | − | 0.00292939i | ||||
\(15\) | 0.910748 | 0.235154 | ||||||||
\(16\) | −3.99550 | − | 0.189749i | −0.998874 | − | 0.0474373i | ||||
\(17\) | 1.70465i | 0.413439i | 0.978400 | + | 0.206720i | \(0.0662788\pi\) | ||||
−0.978400 | + | 0.206720i | \(0.933721\pi\) | |||||||
\(18\) | 0.602664 | + | 0.00715020i | 0.142049 | + | 0.00168532i | ||||
\(19\) | 1.71519 | + | 4.14085i | 0.393493 | + | 0.949975i | 0.989173 | + | 0.146754i | \(0.0468824\pi\) |
−0.595681 | + | 0.803221i | \(0.703118\pi\) | |||||||
\(20\) | 0.899966 | + | 0.398049i | 0.201239 | + | 0.0890065i | ||||
\(21\) | 1.11721 | + | 0.462762i | 0.243794 | + | 0.100983i | ||||
\(22\) | −0.786077 | − | 1.96332i | −0.167592 | − | 0.418581i | ||||
\(23\) | −0.296689 | + | 0.296689i | −0.0618638 | + | 0.0618638i | −0.737362 | − | 0.675498i | \(-0.763929\pi\) |
0.675498 | + | 0.737362i | \(0.263929\pi\) | |||||||
\(24\) | 4.76252 | + | 2.17435i | 0.972146 | + | 0.443837i | ||||
\(25\) | 3.36435 | + | 3.36435i | 0.672869 | + | 0.672869i | ||||
\(26\) | −5.09523 | + | 0.196586i | −0.999257 | + | 0.0385537i | ||||
\(27\) | 4.40148 | + | 1.82315i | 0.847065 | + | 0.350866i | ||||
\(28\) | 0.901727 | + | 0.945567i | 0.170410 | + | 0.178695i | ||||
\(29\) | −0.673717 | − | 1.62650i | −0.125106 | − | 0.302033i | 0.848900 | − | 0.528553i | \(-0.177265\pi\) |
−0.974007 | + | 0.226520i | \(0.927265\pi\) | |||||||
\(30\) | −0.899880 | − | 0.921489i | −0.164295 | − | 0.168240i | ||||
\(31\) | 5.90554i | 1.06067i | 0.847789 | + | 0.530333i | \(0.177933\pi\) | ||||
−0.847789 | + | 0.530333i | \(0.822067\pi\) | |||||||
\(32\) | 3.75583 | + | 4.23010i | 0.663943 | + | 0.747783i | ||||
\(33\) | 2.76801i | 0.481848i | ||||||||
\(34\) | 1.72476 | − | 1.68431i | 0.295793 | − | 0.288857i | ||||
\(35\) | −0.123012 | − | 0.296976i | −0.0207928 | − | 0.0501982i | ||||
\(36\) | −0.588237 | − | 0.616836i | −0.0980395 | − | 0.102806i | ||||
\(37\) | −1.12127 | + | 2.70698i | −0.184335 | + | 0.445025i | −0.988851 | − | 0.148906i | \(-0.952425\pi\) |
0.804516 | + | 0.593931i | \(0.202425\pi\) | |||||||
\(38\) | 2.49495 | − | 5.82685i | 0.404735 | − | 0.945240i | ||||
\(39\) | 6.28673 | + | 2.23993i | 1.00668 | + | 0.358676i | ||||
\(40\) | −0.486483 | − | 1.30388i | −0.0769197 | − | 0.206161i | ||||
\(41\) | −6.52404 | − | 6.52404i | −1.01888 | − | 1.01888i | −0.999818 | − | 0.0190655i | \(-0.993931\pi\) |
−0.0190655 | − | 0.999818i | \(-0.506069\pi\) | |||||||
\(42\) | −0.635654 | − | 1.58762i | −0.0980836 | − | 0.244975i | ||||
\(43\) | −0.359462 | + | 0.867818i | −0.0548174 | + | 0.132341i | −0.948916 | − | 0.315530i | \(-0.897818\pi\) |
0.894098 | + | 0.447871i | \(0.147818\pi\) | |||||||
\(44\) | −1.20978 | + | 2.73524i | −0.182381 | + | 0.412353i | ||||
\(45\) | 0.0802460 | + | 0.193731i | 0.0119624 | + | 0.0288797i | ||||
\(46\) | 0.593335 | + | 0.00703953i | 0.0874825 | + | 0.00103792i | ||||
\(47\) | 2.98116 | 0.434847 | 0.217423 | − | 0.976077i | \(-0.430235\pi\) | ||||
0.217423 | + | 0.976077i | \(0.430235\pi\) | |||||||
\(48\) | −2.50570 | − | 6.96709i | −0.361667 | − | 1.00561i | ||||
\(49\) | 6.57320i | 0.939028i | ||||||||
\(50\) | 0.0798258 | − | 6.72822i | 0.0112891 | − | 0.951514i | ||||
\(51\) | −2.91512 | + | 1.20748i | −0.408198 | + | 0.169081i | ||||
\(52\) | 5.23333 | + | 4.96108i | 0.725732 | + | 0.687978i | ||||
\(53\) | 4.36373 | − | 10.5350i | 0.599405 | − | 1.44709i | −0.274784 | − | 0.961506i | \(-0.588606\pi\) |
0.874189 | − | 0.485586i | \(-0.161394\pi\) | |||||||
\(54\) | −2.50430 | − | 6.25478i | −0.340792 | − | 0.851168i | ||||
\(55\) | 0.520284 | − | 0.520284i | 0.0701551 | − | 0.0701551i | ||||
\(56\) | 0.0657523 | − | 1.84664i | 0.00878652 | − | 0.246768i | ||||
\(57\) | −5.86629 | + | 5.86629i | −0.777009 | + | 0.777009i | ||||
\(58\) | −0.980001 | + | 2.28875i | −0.128680 | + | 0.300527i | ||||
\(59\) | 3.83383 | − | 9.25569i | 0.499122 | − | 1.20499i | −0.450835 | − | 0.892607i | \(-0.648874\pi\) |
0.949957 | − | 0.312380i | \(-0.101126\pi\) | |||||||
\(60\) | −0.0432156 | + | 1.82098i | −0.00557911 | + | 0.235088i | ||||
\(61\) | −3.18927 | − | 7.69957i | −0.408344 | − | 0.985829i | −0.985574 | − | 0.169247i | \(-0.945866\pi\) |
0.577230 | − | 0.816582i | \(-0.304134\pi\) | |||||||
\(62\) | 5.97518 | − | 5.83506i | 0.758849 | − | 0.741054i | ||||
\(63\) | 0.278422i | 0.0350779i | ||||||||
\(64\) | 0.568981 | − | 7.97974i | 0.0711226 | − | 0.997468i | ||||
\(65\) | −0.760651 | − | 1.60270i | −0.0943471 | − | 0.198791i | ||||
\(66\) | 2.80065 | − | 2.73497i | 0.344736 | − | 0.336652i | ||||
\(67\) | −3.91099 | + | 1.61998i | −0.477803 | + | 0.197913i | −0.608569 | − | 0.793501i | \(-0.708256\pi\) |
0.130766 | + | 0.991413i | \(0.458256\pi\) | |||||||
\(68\) | −3.40835 | − | 0.0808869i | −0.413323 | − | 0.00980898i | ||||
\(69\) | −0.717523 | − | 0.297208i | −0.0863797 | − | 0.0357796i | ||||
\(70\) | −0.178935 | + | 0.417895i | −0.0213868 | + | 0.0499480i | ||||
\(71\) | 3.34826 | − | 3.34826i | 0.397365 | − | 0.397365i | −0.479938 | − | 0.877303i | \(-0.659341\pi\) |
0.877303 | + | 0.479938i | \(0.159341\pi\) | |||||||
\(72\) | −0.0428932 | + | 1.20465i | −0.00505501 | + | 0.141969i | ||||
\(73\) | −7.51457 | − | 7.51457i | −0.879514 | − | 0.879514i | 0.113970 | − | 0.993484i | \(-0.463643\pi\) |
−0.993484 | + | 0.113970i | \(0.963643\pi\) | |||||||
\(74\) | 3.84679 | − | 1.54018i | 0.447180 | − | 0.179043i | ||||
\(75\) | −3.37024 | + | 8.13647i | −0.389161 | + | 0.939519i | ||||
\(76\) | −8.36075 | + | 3.23294i | −0.959043 | + | 0.370843i | ||||
\(77\) | 0.902591 | − | 0.373865i | 0.102860 | − | 0.0426059i | ||||
\(78\) | −3.94536 | − | 8.57407i | −0.446724 | − | 0.970823i | ||||
\(79\) | − | 2.03132i | − | 0.228541i | −0.993450 | − | 0.114271i | \(-0.963547\pi\) | ||
0.993450 | − | 0.114271i | \(-0.0364531\pi\) | |||||||
\(80\) | −0.838578 | + | 1.78054i | −0.0937559 | + | 0.199070i | ||||
\(81\) | 10.0969i | 1.12188i | ||||||||
\(82\) | −0.154796 | + | 13.0472i | −0.0170943 | + | 1.44082i | ||||
\(83\) | 0.942068 | + | 2.27435i | 0.103405 | + | 0.249643i | 0.967111 | − | 0.254353i | \(-0.0818626\pi\) |
−0.863706 | + | 0.503996i | \(0.831863\pi\) | |||||||
\(84\) | −0.978276 | + | 2.21183i | −0.106739 | + | 0.241330i | ||||
\(85\) | 0.774899 | + | 0.320974i | 0.0840496 | + | 0.0348145i | ||||
\(86\) | 1.23322 | − | 0.493760i | 0.132982 | − | 0.0532436i | ||||
\(87\) | 2.30424 | − | 2.30424i | 0.247040 | − | 0.247040i | ||||
\(88\) | 3.96284 | − | 1.47855i | 0.422440 | − | 0.157614i | ||||
\(89\) | −8.61592 | + | 8.61592i | −0.913285 | + | 0.913285i | −0.996529 | − | 0.0832439i | \(-0.973472\pi\) |
0.0832439 | + | 0.996529i | \(0.473472\pi\) | |||||||
\(90\) | 0.116727 | − | 0.272612i | 0.0123041 | − | 0.0287358i | ||||
\(91\) | −0.118731 | − | 2.35252i | −0.0124464 | − | 0.246611i | ||||
\(92\) | −0.579132 | − | 0.607288i | −0.0603787 | − | 0.0633142i | ||||
\(93\) | −10.0990 | + | 4.18316i | −1.04722 | + | 0.433773i | ||||
\(94\) | −2.94558 | − | 3.01632i | −0.303814 | − | 0.311109i | ||||
\(95\) | 2.20530 | 0.226259 | ||||||||
\(96\) | −4.57345 | + | 9.41919i | −0.466776 | + | 0.961342i | ||||
\(97\) | 12.2702i | 1.24585i | 0.782283 | + | 0.622923i | \(0.214055\pi\) | ||||
−0.782283 | + | 0.622923i | \(0.785945\pi\) | |||||||
\(98\) | 6.65072 | − | 6.49475i | 0.671824 | − | 0.656069i | ||||
\(99\) | −0.588801 | + | 0.243889i | −0.0591767 | + | 0.0245118i | ||||
\(100\) | −6.88644 | + | 6.56716i | −0.688644 | + | 0.656716i | ||||
\(101\) | −11.2836 | − | 4.67382i | −1.12276 | − | 0.465063i | −0.257447 | − | 0.966292i | \(-0.582881\pi\) |
−0.865314 | + | 0.501230i | \(0.832881\pi\) | |||||||
\(102\) | 4.10205 | + | 1.75643i | 0.406164 | + | 0.173912i | ||||
\(103\) | 2.38759 | + | 2.38759i | 0.235257 | + | 0.235257i | 0.814883 | − | 0.579626i | \(-0.196801\pi\) |
−0.579626 | + | 0.814883i | \(0.696801\pi\) | |||||||
\(104\) | −0.151290 | − | 10.1969i | −0.0148352 | − | 0.999890i | ||||
\(105\) | 0.420723 | − | 0.420723i | 0.0410584 | − | 0.0410584i | ||||
\(106\) | −14.9709 | + | 5.99407i | −1.45410 | + | 0.582195i | ||||
\(107\) | −1.74409 | + | 4.21061i | −0.168608 | + | 0.407055i | −0.985486 | − | 0.169754i | \(-0.945703\pi\) |
0.816879 | + | 0.576810i | \(0.195703\pi\) | |||||||
\(108\) | −3.85413 | + | 8.71398i | −0.370864 | + | 0.838503i | ||||
\(109\) | 0.0424496 | + | 0.102482i | 0.00406593 | + | 0.00981602i | 0.925899 | − | 0.377770i | \(-0.123309\pi\) |
−0.921834 | + | 0.387586i | \(0.873309\pi\) | |||||||
\(110\) | −1.04050 | − | 0.0123448i | −0.0992074 | − | 0.00117703i | ||||
\(111\) | −5.42343 | −0.514770 | ||||||||
\(112\) | −1.93339 | + | 1.75808i | −0.182688 | + | 0.166123i | ||||
\(113\) | − | 0.620082i | − | 0.0583324i | −0.999575 | − | 0.0291662i | \(-0.990715\pi\) | ||
0.999575 | − | 0.0291662i | \(-0.00928521\pi\) | |||||||
\(114\) | 11.7318 | + | 0.139189i | 1.09878 | + | 0.0130363i | ||||
\(115\) | 0.0790040 | + | 0.190732i | 0.00736716 | + | 0.0177859i | ||||
\(116\) | 3.28405 | − | 1.26988i | 0.304916 | − | 0.117905i | ||||
\(117\) | 0.0774536 | + | 1.53465i | 0.00716059 | + | 0.141879i | ||||
\(118\) | −13.1529 | + | 5.26619i | −1.21082 | + | 0.484792i | ||||
\(119\) | 0.787471 | + | 0.787471i | 0.0721873 | + | 0.0721873i | ||||
\(120\) | 1.88516 | − | 1.75553i | 0.172091 | − | 0.160257i | ||||
\(121\) | −6.19689 | − | 6.19689i | −0.563354 | − | 0.563354i | ||||
\(122\) | −4.63916 | + | 10.8346i | −0.420010 | + | 0.980915i | ||||
\(123\) | 6.53546 | − | 15.7780i | 0.589283 | − | 1.42265i | ||||
\(124\) | −11.8078 | − | 0.280222i | −1.06037 | − | 0.0251647i | ||||
\(125\) | 4.43573 | − | 1.83734i | 0.396744 | − | 0.164337i | ||||
\(126\) | 0.281706 | − | 0.275099i | 0.0250963 | − | 0.0245078i | ||||
\(127\) | −0.973394 | −0.0863748 | −0.0431874 | − | 0.999067i | \(-0.513751\pi\) | ||||
−0.0431874 | + | 0.999067i | \(0.513751\pi\) | |||||||
\(128\) | −8.63604 | + | 7.30882i | −0.763325 | + | 0.646015i | ||||
\(129\) | −1.73867 | −0.153082 | ||||||||
\(130\) | −0.870030 | + | 2.35320i | −0.0763067 | + | 0.206389i | ||||
\(131\) | −5.01068 | − | 12.0968i | −0.437785 | − | 1.05691i | −0.976712 | − | 0.214554i | \(-0.931170\pi\) |
0.538927 | − | 0.842352i | \(-0.318830\pi\) | |||||||
\(132\) | −5.53446 | − | 0.131344i | −0.481713 | − | 0.0114320i | ||||
\(133\) | 2.70522 | + | 1.12054i | 0.234572 | + | 0.0971630i | ||||
\(134\) | 5.50341 | + | 2.35646i | 0.475422 | + | 0.203567i | ||||
\(135\) | 1.65753 | − | 1.65753i | 0.142658 | − | 0.142658i | ||||
\(136\) | 3.28583 | + | 3.52846i | 0.281758 | + | 0.302563i | ||||
\(137\) | 0.364614 | + | 0.364614i | 0.0311511 | + | 0.0311511i | 0.722511 | − | 0.691360i | \(-0.242988\pi\) |
−0.691360 | + | 0.722511i | \(0.742988\pi\) | |||||||
\(138\) | 0.408248 | + | 1.01965i | 0.0347523 | + | 0.0867981i | ||||
\(139\) | 3.43692 | − | 8.29746i | 0.291516 | − | 0.703781i | −0.708482 | − | 0.705728i | \(-0.750620\pi\) |
0.999998 | + | 0.00194742i | \(0.000619883\pi\) | |||||||
\(140\) | 0.599623 | − | 0.231862i | 0.0506774 | − | 0.0195959i | ||||
\(141\) | 2.11169 | + | 5.09807i | 0.177836 | + | 0.429335i | ||||
\(142\) | −6.69604 | − | 0.0794441i | −0.561920 | − | 0.00666680i | ||||
\(143\) | 4.87104 | − | 2.31182i | 0.407337 | − | 0.193324i | ||||
\(144\) | 1.26124 | − | 1.14687i | 0.105103 | − | 0.0955728i | ||||
\(145\) | −0.866226 | −0.0719362 | ||||||||
\(146\) | −0.178298 | + | 15.0281i | −0.0147561 | + | 1.24373i | ||||
\(147\) | −11.2408 | + | 4.65609i | −0.927125 | + | 0.384028i | ||||
\(148\) | −5.35923 | − | 2.37035i | −0.440526 | − | 0.194842i | ||||
\(149\) | 0.293634 | + | 0.121627i | 0.0240554 | + | 0.00996408i | 0.394679 | − | 0.918819i | \(-0.370856\pi\) |
−0.370623 | + | 0.928783i | \(0.620856\pi\) | |||||||
\(150\) | 11.5624 | − | 4.62939i | 0.944069 | − | 0.377988i | ||||
\(151\) | 3.69084 | + | 3.69084i | 0.300356 | + | 0.300356i | 0.841153 | − | 0.540797i | \(-0.181877\pi\) |
−0.540797 | + | 0.841153i | \(0.681877\pi\) | |||||||
\(152\) | 11.5320 | + | 5.26499i | 0.935372 | + | 0.427047i | ||||
\(153\) | −0.513702 | − | 0.513702i | −0.0415304 | − | 0.0415304i | ||||
\(154\) | −1.27009 | − | 0.543832i | −0.102347 | − | 0.0438232i | ||||
\(155\) | 2.68453 | + | 1.11197i | 0.215627 | + | 0.0893155i | ||||
\(156\) | −4.77691 | + | 12.4636i | −0.382459 | + | 0.997890i | ||||
\(157\) | −7.38244 | − | 17.8228i | −0.589183 | − | 1.42241i | −0.884285 | − | 0.466947i | \(-0.845354\pi\) |
0.295103 | − | 0.955466i | \(-0.404646\pi\) | |||||||
\(158\) | −2.05527 | + | 2.00708i | −0.163509 | + | 0.159674i | ||||
\(159\) | 21.1069 | 1.67388 | ||||||||
\(160\) | 2.63011 | − | 0.910822i | 0.207928 | − | 0.0720068i | ||||
\(161\) | 0.274113i | 0.0216031i | ||||||||
\(162\) | 10.2160 | − | 9.97641i | 0.802643 | − | 0.783821i | ||||
\(163\) | −5.49408 | + | 2.27572i | −0.430330 | + | 0.178248i | −0.587325 | − | 0.809351i | \(-0.699819\pi\) |
0.156996 | + | 0.987599i | \(0.449819\pi\) | |||||||
\(164\) | 13.3540 | − | 12.7348i | 1.04277 | − | 0.994424i | ||||
\(165\) | 1.25828 | + | 0.521195i | 0.0979567 | + | 0.0405750i | ||||
\(166\) | 1.37035 | − | 3.20039i | 0.106360 | − | 0.248398i | ||||
\(167\) | 10.1509 | − | 10.1509i | 0.785502 | − | 0.785502i | −0.195251 | − | 0.980753i | \(-0.562552\pi\) |
0.980753 | + | 0.195251i | \(0.0625522\pi\) | |||||||
\(168\) | 3.20451 | − | 1.19562i | 0.247233 | − | 0.0922439i | ||||
\(169\) | −1.30888 | − | 12.9339i | −0.100683 | − | 0.994919i | ||||
\(170\) | −0.440892 | − | 1.10118i | −0.0338149 | − | 0.0844567i | ||||
\(171\) | −1.76473 | − | 0.730977i | −0.134953 | − | 0.0558992i | ||||
\(172\) | −1.71809 | − | 0.759900i | −0.131003 | − | 0.0579419i | ||||
\(173\) | −4.25029 | + | 1.76053i | −0.323143 | + | 0.133850i | −0.538358 | − | 0.842716i | \(-0.680955\pi\) |
0.215214 | + | 0.976567i | \(0.430955\pi\) | |||||||
\(174\) | −4.60816 | − | 0.0546727i | −0.349343 | − | 0.00414473i | ||||
\(175\) | 3.10834 | 0.234969 | ||||||||
\(176\) | −5.41153 | − | 2.54866i | −0.407910 | − | 0.192113i | ||||
\(177\) | 18.5438 | 1.39384 | ||||||||
\(178\) | 17.2306 | + | 0.204430i | 1.29149 | + | 0.0153227i | ||||
\(179\) | −13.8803 | + | 5.74941i | −1.03746 | + | 0.429731i | −0.835401 | − | 0.549641i | \(-0.814764\pi\) |
−0.202063 | + | 0.979373i | \(0.564764\pi\) | |||||||
\(180\) | −0.391161 | + | 0.151254i | −0.0291554 | + | 0.0112738i | ||||
\(181\) | 1.30262 | − | 3.14481i | 0.0968233 | − | 0.233752i | −0.868045 | − | 0.496485i | \(-0.834624\pi\) |
0.964869 | + | 0.262733i | \(0.0846238\pi\) | |||||||
\(182\) | −2.26294 | + | 2.44457i | −0.167741 | + | 0.181204i | ||||
\(183\) | 10.9079 | − | 10.9079i | 0.806335 | − | 0.806335i | ||||
\(184\) | −0.0422293 | + | 1.18600i | −0.00311318 | + | 0.0874333i | ||||
\(185\) | 1.01941 | + | 1.01941i | 0.0749484 | + | 0.0749484i | ||||
\(186\) | 14.2110 | + | 6.08490i | 1.04200 | + | 0.446166i | ||||
\(187\) | −0.975524 | + | 2.35512i | −0.0713374 | + | 0.172224i | ||||
\(188\) | −0.141458 | + | 5.96064i | −0.0103169 | + | 0.434724i | ||||
\(189\) | 2.87549 | − | 1.19107i | 0.209161 | − | 0.0866374i | ||||
\(190\) | −2.17898 | − | 2.23130i | −0.158080 | − | 0.161876i | ||||
\(191\) | −12.1468 | −0.878909 | −0.439455 | − | 0.898265i | \(-0.644828\pi\) | ||||
−0.439455 | + | 0.898265i | \(0.644828\pi\) | |||||||
\(192\) | 14.0492 | − | 4.67940i | 1.01391 | − | 0.337706i | ||||
\(193\) | 1.62930i | 0.117280i | 0.998279 | + | 0.0586398i | \(0.0186763\pi\) | ||||
−0.998279 | + | 0.0586398i | \(0.981324\pi\) | |||||||
\(194\) | 12.4149 | − | 12.1237i | 0.891335 | − | 0.870433i | ||||
\(195\) | 2.20197 | − | 2.43605i | 0.157686 | − | 0.174449i | ||||
\(196\) | −13.1427 | − | 0.311903i | −0.938764 | − | 0.0222788i | ||||
\(197\) | 3.92644 | − | 9.47927i | 0.279747 | − | 0.675370i | −0.720081 | − | 0.693890i | \(-0.755895\pi\) |
0.999828 | + | 0.0185200i | \(0.00589544\pi\) | |||||||
\(198\) | 0.828539 | + | 0.354766i | 0.0588817 | + | 0.0252121i | ||||
\(199\) | 2.47641 | + | 2.47641i | 0.175548 | + | 0.175548i | 0.789412 | − | 0.613864i | \(-0.210386\pi\) |
−0.613864 | + | 0.789412i | \(0.710386\pi\) | |||||||
\(200\) | 13.4489 | + | 0.478865i | 0.950978 | + | 0.0338609i | ||||
\(201\) | −5.54066 | − | 5.54066i | −0.390808 | − | 0.390808i | ||||
\(202\) | 6.42001 | + | 16.0347i | 0.451710 | + | 1.12820i | ||||
\(203\) | −1.06259 | − | 0.440140i | −0.0745793 | − | 0.0308918i | ||||
\(204\) | −2.27596 | − | 5.88589i | −0.159349 | − | 0.412095i | ||||
\(205\) | −4.19412 | + | 1.73726i | −0.292930 | + | 0.121335i | ||||
\(206\) | 0.0566505 | − | 4.77485i | 0.00394702 | − | 0.332680i | ||||
\(207\) | − | 0.178816i | − | 0.0124286i | ||||||
\(208\) | −10.1677 | + | 10.2283i | −0.705002 | + | 0.709205i | ||||
\(209\) | 6.70249i | 0.463621i | ||||||||
\(210\) | −0.841388 | − | 0.00998250i | −0.0580613 | − | 0.000688858i | ||||
\(211\) | −12.5227 | + | 5.18705i | −0.862095 | + | 0.357091i | −0.769527 | − | 0.638615i | \(-0.779508\pi\) |
−0.0925685 | + | 0.995706i | \(0.529508\pi\) | |||||||
\(212\) | 20.8570 | + | 9.22490i | 1.43246 | + | 0.633569i | ||||
\(213\) | 8.09756 | + | 3.35412i | 0.554836 | + | 0.229820i | ||||
\(214\) | 5.98355 | − | 2.39570i | 0.409027 | − | 0.163767i | ||||
\(215\) | 0.326807 | + | 0.326807i | 0.0222881 | + | 0.0222881i | ||||
\(216\) | 12.6249 | − | 4.71040i | 0.859014 | − | 0.320502i | ||||
\(217\) | 2.72808 | + | 2.72808i | 0.185194 | + | 0.185194i | ||||
\(218\) | 0.0617479 | − | 0.144209i | 0.00418210 | − | 0.00976710i | ||||
\(219\) | 7.52773 | − | 18.1735i | 0.508677 | − | 1.22805i | ||||
\(220\) | 1.01559 | + | 1.06496i | 0.0684709 | + | 0.0717998i | ||||
\(221\) | 4.55957 | + | 4.12144i | 0.306710 | + | 0.277238i | ||||
\(222\) | 5.35871 | + | 5.48739i | 0.359653 | + | 0.368290i | ||||
\(223\) | 29.1843i | 1.95433i | 0.212486 | + | 0.977164i | \(0.431844\pi\) | ||||
−0.212486 | + | 0.977164i | \(0.568156\pi\) | |||||||
\(224\) | 3.68913 | + | 0.219092i | 0.246490 | + | 0.0146387i | ||||
\(225\) | −2.02771 | −0.135181 | ||||||||
\(226\) | −0.627395 | + | 0.612682i | −0.0417337 | + | 0.0407550i | ||||
\(227\) | 16.3200 | − | 6.75998i | 1.08320 | − | 0.448676i | 0.231569 | − | 0.972819i | \(-0.425614\pi\) |
0.851630 | + | 0.524143i | \(0.175614\pi\) | |||||||
\(228\) | −11.4509 | − | 12.0076i | −0.758356 | − | 0.795225i | ||||
\(229\) | 8.92301 | − | 21.5421i | 0.589649 | − | 1.42354i | −0.294190 | − | 0.955747i | \(-0.595050\pi\) |
0.883839 | − | 0.467792i | \(-0.154950\pi\) | |||||||
\(230\) | 0.114921 | − | 0.268392i | 0.00757764 | − | 0.0176972i | ||||
\(231\) | 1.27869 | + | 1.27869i | 0.0841317 | + | 0.0841317i | ||||
\(232\) | −4.52971 | − | 2.06805i | −0.297390 | − | 0.135774i | ||||
\(233\) | 0.364868 | − | 0.364868i | 0.0239033 | − | 0.0239033i | −0.695054 | − | 0.718957i | \(-0.744620\pi\) |
0.718957 | + | 0.695054i | \(0.244620\pi\) | |||||||
\(234\) | 1.47622 | − | 1.59470i | 0.0965035 | − | 0.104249i | ||||
\(235\) | 0.561330 | − | 1.35517i | 0.0366171 | − | 0.0884016i | ||||
\(236\) | 18.3242 | + | 8.10469i | 1.19281 | + | 0.527571i | ||||
\(237\) | 3.47375 | − | 1.43887i | 0.225644 | − | 0.0934648i | ||||
\(238\) | 0.0186843 | − | 1.57483i | 0.00121112 | − | 0.102081i | ||||
\(239\) | −20.7234 | −1.34048 | −0.670242 | − | 0.742142i | \(-0.733810\pi\) | ||||
−0.670242 | + | 0.742142i | \(0.733810\pi\) | |||||||
\(240\) | −3.63889 | − | 0.172814i | −0.234889 | − | 0.0111551i | ||||
\(241\) | 17.6098 | 1.13435 | 0.567174 | − | 0.823598i | \(-0.308037\pi\) | ||||
0.567174 | + | 0.823598i | \(0.308037\pi\) | |||||||
\(242\) | −0.147034 | + | 12.3929i | −0.00945168 | + | 0.796646i | ||||
\(243\) | −4.06222 | + | 1.68263i | −0.260592 | + | 0.107941i | ||||
\(244\) | 15.5461 | − | 6.01139i | 0.995239 | − | 0.384840i | ||||
\(245\) | 2.98803 | + | 1.23768i | 0.190898 | + | 0.0790727i | ||||
\(246\) | −22.4215 | + | 8.97717i | −1.42954 | + | 0.572363i | ||||
\(247\) | 15.2228 | + | 5.42380i | 0.968602 | + | 0.345108i | ||||
\(248\) | 11.3833 | + | 12.2239i | 0.722841 | + | 0.776217i | ||||
\(249\) | −3.22205 | + | 3.22205i | −0.204189 | + | 0.204189i | ||||
\(250\) | −6.24181 | − | 2.67263i | −0.394766 | − | 0.169032i | ||||
\(251\) | −23.4125 | − | 9.69777i | −1.47778 | − | 0.612118i | −0.509164 | − | 0.860669i | \(-0.670045\pi\) |
−0.968619 | + | 0.248552i | \(0.920045\pi\) | |||||||
\(252\) | −0.556687 | − | 0.0132113i | −0.0350680 | − | 0.000832234i | ||||
\(253\) | −0.579687 | + | 0.240114i | −0.0364446 | + | 0.0150959i | ||||
\(254\) | 0.961778 | + | 0.984874i | 0.0603473 | + | 0.0617965i | ||||
\(255\) | 1.55251i | 0.0972220i | ||||||||
\(256\) | 15.9280 | + | 1.51628i | 0.995499 | + | 0.0947678i | ||||
\(257\) | −17.4302 | −1.08727 | −0.543634 | − | 0.839322i | \(-0.682952\pi\) | ||||
−0.543634 | + | 0.839322i | \(0.682952\pi\) | |||||||
\(258\) | 1.71793 | + | 1.75918i | 0.106953 | + | 0.109522i | ||||
\(259\) | 0.732525 | + | 1.76847i | 0.0455169 | + | 0.109887i | ||||
\(260\) | 3.24060 | − | 1.44482i | 0.200973 | − | 0.0896042i | ||||
\(261\) | 0.693176 | + | 0.287123i | 0.0429065 | + | 0.0177725i | ||||
\(262\) | −7.28862 | + | 17.0222i | −0.450293 | + | 1.05164i | ||||
\(263\) | 14.0738 | + | 14.0738i | 0.867829 | + | 0.867829i | 0.992232 | − | 0.124403i | \(-0.0397016\pi\) |
−0.124403 | + | 0.992232i | \(0.539702\pi\) | |||||||
\(264\) | 5.33552 | + | 5.72950i | 0.328378 | + | 0.352626i | ||||
\(265\) | −3.96732 | − | 3.96732i | −0.243710 | − | 0.243710i | ||||
\(266\) | −1.53918 | − | 3.84429i | −0.0943733 | − | 0.235708i | ||||
\(267\) | −20.8371 | − | 8.63100i | −1.27521 | − | 0.528209i | ||||
\(268\) | −3.05348 | − | 7.89665i | −0.186521 | − | 0.482364i | ||||
\(269\) | −8.55228 | + | 3.54247i | −0.521442 | + | 0.215988i | −0.627850 | − | 0.778334i | \(-0.716065\pi\) |
0.106408 | + | 0.994323i | \(0.466065\pi\) | |||||||
\(270\) | −3.31483 | − | 0.0393283i | −0.201734 | − | 0.00239344i | ||||
\(271\) | −28.3589 | −1.72268 | −0.861341 | − | 0.508026i | \(-0.830375\pi\) | ||||
−0.861341 | + | 0.508026i | \(0.830375\pi\) | |||||||
\(272\) | 0.323457 | − | 6.81094i | 0.0196124 | − | 0.412974i | ||||
\(273\) | 3.93892 | − | 1.86943i | 0.238394 | − | 0.113143i | ||||
\(274\) | 0.00865119 | − | 0.729176i | 0.000522638 | − | 0.0440511i | ||||
\(275\) | 2.72281 | + | 6.57345i | 0.164192 | + | 0.396394i | ||||
\(276\) | 0.628296 | − | 1.42054i | 0.0378189 | − | 0.0855065i | ||||
\(277\) | −5.29158 | + | 12.7750i | −0.317940 | + | 0.767575i | 0.681423 | + | 0.731890i | \(0.261361\pi\) |
−0.999363 | + | 0.0356855i | \(0.988639\pi\) | |||||||
\(278\) | −11.7912 | + | 4.72098i | −0.707190 | + | 0.283146i | ||||
\(279\) | −1.77965 | − | 1.77965i | −0.106545 | − | 0.106545i | ||||
\(280\) | −0.827064 | − | 0.377599i | −0.0494265 | − | 0.0225658i | ||||
\(281\) | 18.3723 | − | 18.3723i | 1.09600 | − | 1.09600i | 0.101128 | − | 0.994873i | \(-0.467755\pi\) |
0.994873 | − | 0.101128i | \(-0.0322450\pi\) | |||||||
\(282\) | 3.07170 | − | 7.17382i | 0.182917 | − | 0.427195i | ||||
\(283\) | −14.4932 | − | 6.00329i | −0.861532 | − | 0.356858i | −0.0922257 | − | 0.995738i | \(-0.529398\pi\) |
−0.769307 | + | 0.638880i | \(0.779398\pi\) | |||||||
\(284\) | 6.53575 | + | 6.85351i | 0.387826 | + | 0.406681i | ||||
\(285\) | 1.56211 | + | 3.77127i | 0.0925314 | + | 0.223391i | ||||
\(286\) | −7.15199 | − | 2.64425i | −0.422906 | − | 0.156358i | ||||
\(287\) | −6.02761 | −0.355798 | ||||||||
\(288\) | −2.40658 | − | 0.142924i | −0.141809 | − | 0.00842185i | ||||
\(289\) | 14.0942 | 0.829068 | ||||||||
\(290\) | 0.855889 | + | 0.876442i | 0.0502595 | + | 0.0514664i | ||||
\(291\) | −20.9831 | + | 8.69150i | −1.23005 | + | 0.509505i | ||||
\(292\) | 15.3815 | − | 14.6683i | 0.900133 | − | 0.858400i | ||||
\(293\) | 2.89098 | − | 6.97945i | 0.168893 | − | 0.407744i | −0.816658 | − | 0.577122i | \(-0.804176\pi\) |
0.985551 | + | 0.169378i | \(0.0541758\pi\) | |||||||
\(294\) | 15.8176 | + | 6.77283i | 0.922504 | + | 0.395000i | ||||
\(295\) | −3.48555 | − | 3.48555i | −0.202937 | − | 0.202937i | ||||
\(296\) | 2.89697 | + | 7.76449i | 0.168383 | + | 0.451302i | ||||
\(297\) | 5.03768 | + | 5.03768i | 0.292316 | + | 0.292316i | ||||
\(298\) | −0.167068 | − | 0.417272i | −0.00967800 | − | 0.0241719i | ||||
\(299\) | 0.0762548 | + | 1.51090i | 0.00440993 | + | 0.0873775i | ||||
\(300\) | −16.1084 | − | 7.12466i | −0.930021 | − | 0.411342i | ||||
\(301\) | 0.234837 | + | 0.566946i | 0.0135358 | + | 0.0326782i | ||||
\(302\) | 0.0875725 | − | 7.38116i | 0.00503923 | − | 0.424738i | ||||
\(303\) | − | 22.6067i | − | 1.29872i | ||||||
\(304\) | −6.06733 | − | 16.8702i | −0.347985 | − | 0.967572i | ||||
\(305\) | −4.10057 | −0.234798 | ||||||||
\(306\) | −0.0121886 | + | 1.02733i | −0.000696777 | + | 0.0587287i | ||||
\(307\) | 8.30084 | + | 20.0400i | 0.473754 | + | 1.14374i | 0.962491 | + | 0.271312i | \(0.0874576\pi\) |
−0.488738 | + | 0.872431i | \(0.662542\pi\) | |||||||
\(308\) | 0.704692 | + | 1.82241i | 0.0401535 | + | 0.103842i | ||||
\(309\) | −2.39177 | + | 5.77425i | −0.136063 | + | 0.328486i | ||||
\(310\) | −1.52741 | − | 3.81489i | −0.0867511 | − | 0.216671i | ||||
\(311\) | −14.7231 | + | 14.7231i | −0.834868 | + | 0.834868i | −0.988178 | − | 0.153310i | \(-0.951007\pi\) |
0.153310 | + | 0.988178i | \(0.451007\pi\) | |||||||
\(312\) | 17.3305 | − | 7.48165i | 0.981148 | − | 0.423565i | ||||
\(313\) | 21.1911 | + | 21.1911i | 1.19779 | + | 1.19779i | 0.974827 | + | 0.222963i | \(0.0715730\pi\) |
0.222963 | + | 0.974827i | \(0.428427\pi\) | |||||||
\(314\) | −10.7386 | + | 25.0796i | −0.606016 | + | 1.41532i | ||||
\(315\) | 0.126565 | + | 0.0524248i | 0.00713111 | + | 0.00295380i | ||||
\(316\) | 4.06149 | + | 0.0963873i | 0.228477 | + | 0.00542221i | ||||
\(317\) | −12.3388 | + | 5.11092i | −0.693019 | + | 0.287058i | −0.701257 | − | 0.712908i | \(-0.747378\pi\) |
0.00823863 | + | 0.999966i | \(0.497378\pi\) | |||||||
\(318\) | −20.8550 | − | 21.3558i | −1.16949 | − | 1.19757i | ||||
\(319\) | − | 2.63269i | − | 0.147402i | ||||||
\(320\) | −3.52028 | − | 1.76117i | −0.196790 | − | 0.0984525i | ||||
\(321\) | −8.43597 | −0.470850 | ||||||||
\(322\) | 0.277345 | − | 0.270841i | 0.0154558 | − | 0.0150934i | ||||
\(323\) | −7.05871 | + | 2.92381i | −0.392757 | + | 0.162685i | ||||
\(324\) | −20.1881 | − | 0.479105i | −1.12156 | − | 0.0266169i | ||||
\(325\) | 17.1331 | − | 0.864703i | 0.950371 | − | 0.0479651i | ||||
\(326\) | 7.73108 | + | 3.31031i | 0.428185 | + | 0.183341i | ||||
\(327\) | −0.145186 | + | 0.145186i | −0.00802878 | + | 0.00802878i | ||||
\(328\) | −26.0796 | − | 0.928601i | −1.44001 | − | 0.0512734i | ||||
\(329\) | 1.37716 | − | 1.37716i | 0.0759251 | − | 0.0759251i | ||||
\(330\) | −0.715919 | − | 1.78809i | −0.0394100 | − | 0.0984312i | ||||
\(331\) | −18.2407 | − | 7.55556i | −1.00260 | − | 0.415291i | −0.179851 | − | 0.983694i | \(-0.557562\pi\) |
−0.822750 | + | 0.568403i | \(0.807562\pi\) | |||||||
\(332\) | −4.59213 | + | 1.77569i | −0.252026 | + | 0.0974534i | ||||
\(333\) | −0.477859 | − | 1.15365i | −0.0261865 | − | 0.0632198i | ||||
\(334\) | −20.3004 | − | 0.240851i | −1.11079 | − | 0.0131788i | ||||
\(335\) | 2.08288i | 0.113800i | ||||||||
\(336\) | −4.37599 | − | 2.06095i | −0.238730 | − | 0.112434i | ||||
\(337\) | 10.8947i | 0.593471i | 0.954960 | + | 0.296735i | \(0.0958979\pi\) | ||||
−0.954960 | + | 0.296735i | \(0.904102\pi\) | |||||||
\(338\) | −11.7932 | + | 14.1039i | −0.641466 | + | 0.767151i | ||||
\(339\) | 1.06040 | − | 0.439232i | 0.0575930 | − | 0.0238558i | ||||
\(340\) | −0.678536 | + | 1.53413i | −0.0367988 | + | 0.0831999i | ||||
\(341\) | −3.37957 | + | 8.15901i | −0.183014 | + | 0.441835i | ||||
\(342\) | 1.00408 | + | 2.50780i | 0.0542943 | + | 0.135606i | ||||
\(343\) | 6.27019 | + | 6.27019i | 0.338558 | + | 0.338558i | ||||
\(344\) | 0.928726 | + | 2.48918i | 0.0500735 | + | 0.134208i | ||||
\(345\) | −0.270209 | + | 0.270209i | −0.0145475 | + | 0.0145475i | ||||
\(346\) | 5.98085 | + | 2.56089i | 0.321533 | + | 0.137675i | ||||
\(347\) | 20.9941 | + | 8.69603i | 1.12702 | + | 0.466827i | 0.866767 | − | 0.498713i | \(-0.166194\pi\) |
0.260254 | + | 0.965540i | \(0.416194\pi\) | |||||||
\(348\) | 4.49785 | + | 4.71652i | 0.241110 | + | 0.252832i | ||||
\(349\) | −16.9769 | + | 7.03206i | −0.908752 | + | 0.376417i | −0.787579 | − | 0.616214i | \(-0.788666\pi\) |
−0.121173 | + | 0.992631i | \(0.538666\pi\) | |||||||
\(350\) | −3.07125 | − | 3.14500i | −0.164165 | − | 0.168107i | ||||
\(351\) | 15.5183 | − | 7.36504i | 0.828303 | − | 0.393117i | ||||
\(352\) | 2.76823 | + | 7.99360i | 0.147547 | + | 0.426060i | ||||
\(353\) | − | 2.98134i | − | 0.158681i | −0.996848 | − | 0.0793405i | \(-0.974719\pi\) | ||
0.996848 | − | 0.0793405i | \(-0.0252814\pi\) | |||||||
\(354\) | −18.3225 | − | 18.7625i | −0.973829 | − | 0.997214i | ||||
\(355\) | −0.891594 | − | 2.15250i | −0.0473209 | − | 0.114243i | ||||
\(356\) | −16.8182 | − | 17.6358i | −0.891360 | − | 0.934696i | ||||
\(357\) | −0.788849 | + | 1.90445i | −0.0417503 | + | 0.100794i | ||||
\(358\) | 19.5319 | + | 8.36320i | 1.03229 | + | 0.442009i | ||||
\(359\) | −15.3508 | + | 15.3508i | −0.810186 | + | 0.810186i | −0.984661 | − | 0.174476i | \(-0.944177\pi\) |
0.174476 | + | 0.984661i | \(0.444177\pi\) | |||||||
\(360\) | 0.539531 | + | 0.246325i | 0.0284358 | + | 0.0129824i | ||||
\(361\) | −0.769680 | + | 0.769680i | −0.0405095 | + | 0.0405095i | ||||
\(362\) | −4.46898 | + | 1.78930i | −0.234884 | + | 0.0940434i | ||||
\(363\) | 6.20774 | − | 14.9868i | 0.325822 | − | 0.786603i | ||||
\(364\) | 4.70934 | − | 0.125767i | 0.246837 | − | 0.00659198i | ||||
\(365\) | −4.83090 | + | 2.00102i | −0.252861 | + | 0.104738i | ||||
\(366\) | −21.8143 | − | 0.258812i | −1.14025 | − | 0.0135283i | ||||
\(367\) | − | 16.4932i | − | 0.860940i | −0.902605 | − | 0.430470i | \(-0.858348\pi\) | ||
0.902605 | − | 0.430470i | \(-0.141652\pi\) | |||||||
\(368\) | 1.24171 | − | 1.12912i | 0.0647289 | − | 0.0588595i | ||||
\(369\) | 3.93208 | 0.204696 | ||||||||
\(370\) | 0.0241875 | − | 2.03867i | 0.00125745 | − | 0.105986i | ||||
\(371\) | −2.85083 | − | 6.88252i | −0.148008 | − | 0.357322i | ||||
\(372\) | −7.88475 | − | 20.3909i | −0.408805 | − | 1.05722i | ||||
\(373\) | 7.62771 | − | 18.4149i | 0.394948 | − | 0.953489i | −0.593897 | − | 0.804541i | \(-0.702411\pi\) |
0.988845 | − | 0.148948i | \(-0.0475886\pi\) | |||||||
\(374\) | 3.34678 | − | 1.33999i | 0.173058 | − | 0.0692892i | ||||
\(375\) | 6.28405 | + | 6.28405i | 0.324507 | + | 0.324507i | ||||
\(376\) | 6.17071 | − | 5.74638i | 0.318230 | − | 0.296347i | ||||
\(377\) | −5.97940 | − | 2.13043i | −0.307955 | − | 0.109723i | ||||
\(378\) | −4.04629 | − | 1.73255i | −0.208119 | − | 0.0891127i | ||||
\(379\) | −7.99430 | + | 19.2999i | −0.410639 | + | 0.991371i | 0.574327 | + | 0.818626i | \(0.305264\pi\) |
−0.984967 | + | 0.172745i | \(0.944736\pi\) | |||||||
\(380\) | −0.104643 | + | 4.40935i | −0.00536806 | + | 0.226195i | ||||
\(381\) | −0.689499 | − | 1.66460i | −0.0353241 | − | 0.0852799i | ||||
\(382\) | 12.0018 | + | 12.2900i | 0.614066 | + | 0.628812i | ||||
\(383\) | − | 11.2990i | − | 0.577350i | −0.957427 | − | 0.288675i | \(-0.906785\pi\) | ||
0.957427 | − | 0.288675i | \(-0.0932147\pi\) | |||||||
\(384\) | −18.6161 | − | 9.59128i | −0.949997 | − | 0.489453i | ||||
\(385\) | − | 0.480694i | − | 0.0244985i | ||||||
\(386\) | 1.64852 | − | 1.60986i | 0.0839072 | − | 0.0819396i | ||||
\(387\) | −0.153195 | − | 0.369845i | −0.00778732 | − | 0.0188003i | ||||
\(388\) | −24.5334 | − | 0.582227i | −1.24549 | − | 0.0295581i | ||||
\(389\) | 27.2079 | + | 11.2699i | 1.37949 | + | 0.571405i | 0.944346 | − | 0.328954i | \(-0.106696\pi\) |
0.435148 | + | 0.900359i | \(0.356696\pi\) | |||||||
\(390\) | −4.64047 | + | 0.179041i | −0.234979 | + | 0.00906608i | ||||
\(391\) | −0.505751 | − | 0.505751i | −0.0255769 | − | 0.0255769i | ||||
\(392\) | 12.6703 | + | 13.6059i | 0.639945 | + | 0.687200i | ||||
\(393\) | 17.1375 | − | 17.1375i | 0.864471 | − | 0.864471i | ||||
\(394\) | −13.4706 | + | 5.39340i | −0.678641 | + | 0.271715i | ||||
\(395\) | −0.923393 | − | 0.382482i | −0.0464609 | − | 0.0192448i | ||||
\(396\) | −0.459702 | − | 1.18884i | −0.0231009 | − | 0.0597416i | ||||
\(397\) | 11.8644 | + | 28.6432i | 0.595457 | + | 1.43756i | 0.878166 | + | 0.478355i | \(0.158767\pi\) |
−0.282709 | + | 0.959206i | \(0.591233\pi\) | |||||||
\(398\) | 0.0587578 | − | 4.95247i | 0.00294526 | − | 0.248245i | ||||
\(399\) | 5.41991i | 0.271335i | ||||||||
\(400\) | −12.8039 | − | 14.0806i | −0.640193 | − | 0.704031i | ||||
\(401\) | −2.36965 | −0.118335 | −0.0591673 | − | 0.998248i | \(-0.518845\pi\) | ||||
−0.0591673 | + | 0.998248i | \(0.518845\pi\) | |||||||
\(402\) | −0.131463 | + | 11.0805i | −0.00655679 | + | 0.552647i | ||||
\(403\) | 15.7960 | + | 14.2782i | 0.786855 | + | 0.711246i | ||||
\(404\) | 9.88043 | − | 22.3391i | 0.491570 | − | 1.11141i | ||||
\(405\) | 4.58984 | + | 1.90117i | 0.228071 | + | 0.0944700i | ||||
\(406\) | 0.604580 | + | 1.51001i | 0.0300048 | + | 0.0749405i | ||||
\(407\) | −3.09825 | + | 3.09825i | −0.153575 | + | 0.153575i | ||||
\(408\) | −3.70651 | + | 8.11845i | −0.183500 | + | 0.401923i | ||||
\(409\) | 5.06984 | − | 5.06984i | 0.250687 | − | 0.250687i | −0.570565 | − | 0.821252i | \(-0.693276\pi\) |
0.821252 | + | 0.570565i | \(0.193276\pi\) | |||||||
\(410\) | 5.90181 | + | 2.52705i | 0.291470 | + | 0.124802i | ||||
\(411\) | −0.365252 | + | 0.881796i | −0.0180166 | + | 0.0434958i | ||||
\(412\) | −4.88714 | + | 4.66055i | −0.240772 | + | 0.229609i | ||||
\(413\) | −2.50465 | − | 6.04675i | −0.123246 | − | 0.297541i | ||||
\(414\) | −0.180925 | + | 0.176682i | −0.00889197 | + | 0.00868345i | ||||
\(415\) | 1.21126 | 0.0594582 | ||||||||
\(416\) | 20.3953 | + | 0.181356i | 0.999960 | + | 0.00889170i | ||||
\(417\) | 16.6240 | 0.814079 | ||||||||
\(418\) | 6.78153 | − | 6.62250i | 0.331696 | − | 0.323917i | ||||
\(419\) | 5.05066 | + | 12.1934i | 0.246741 | + | 0.595685i | 0.997924 | − | 0.0644091i | \(-0.0205163\pi\) |
−0.751183 | + | 0.660094i | \(0.770516\pi\) | |||||||
\(420\) | 0.821246 | + | 0.861174i | 0.0400727 | + | 0.0420210i | ||||
\(421\) | 13.6692 | − | 33.0004i | 0.666196 | − | 1.60834i | −0.121726 | − | 0.992564i | \(-0.538843\pi\) |
0.787922 | − | 0.615775i | \(-0.211157\pi\) | |||||||
\(422\) | 17.6214 | + | 7.54518i | 0.857798 | + | 0.367294i | ||||
\(423\) | −0.898381 | + | 0.898381i | −0.0436808 | + | 0.0436808i | ||||
\(424\) | −11.2744 | − | 30.2178i | −0.547532 | − | 1.46750i | ||||
\(425\) | −5.73505 | + | 5.73505i | −0.278191 | + | 0.278191i | ||||
\(426\) | −4.60725 | − | 11.5071i | −0.223222 | − | 0.557523i | ||||
\(427\) | −5.03013 | − | 2.08355i | −0.243425 | − | 0.100830i | ||||
\(428\) | −8.33610 | − | 3.68700i | −0.402941 | − | 0.178218i | ||||
\(429\) | 7.40381 | + | 6.69238i | 0.357459 | + | 0.323111i | ||||
\(430\) | 0.00775416 | − | 0.653569i | 0.000373939 | − | 0.0315179i | ||||
\(431\) | −22.0169 | −1.06052 | −0.530258 | − | 0.847836i | \(-0.677905\pi\) | ||||
−0.530258 | + | 0.847836i | \(0.677905\pi\) | |||||||
\(432\) | −17.2402 | − | 8.11958i | −0.829468 | − | 0.390654i | ||||
\(433\) | − | 22.2918i | − | 1.07128i | −0.844448 | − | 0.535638i | \(-0.820071\pi\) | ||
0.844448 | − | 0.535638i | \(-0.179929\pi\) | |||||||
\(434\) | 0.0647293 | − | 5.45578i | 0.00310710 | − | 0.261886i | ||||
\(435\) | −0.613587 | − | 1.48133i | −0.0294192 | − | 0.0710243i | ||||
\(436\) | −0.206921 | + | 0.0800124i | −0.00990972 | + | 0.00383190i | ||||
\(437\) | −1.73742 | − | 0.719663i | −0.0831121 | − | 0.0344261i | ||||
\(438\) | −25.8258 | + | 10.3402i | −1.23400 | + | 0.494072i | ||||
\(439\) | −4.24373 | + | 4.24373i | −0.202542 | + | 0.202542i | −0.801088 | − | 0.598546i | \(-0.795745\pi\) |
0.598546 | + | 0.801088i | \(0.295745\pi\) | |||||||
\(440\) | 0.0740548 | − | 2.07982i | 0.00353043 | − | 0.0991515i | ||||
\(441\) | −1.98085 | − | 1.98085i | −0.0943263 | − | 0.0943263i | ||||
\(442\) | −0.335112 | − | 8.68560i | −0.0159396 | − | 0.413132i | ||||
\(443\) | 14.7828 | + | 6.12325i | 0.702354 | + | 0.290925i | 0.705136 | − | 0.709072i | \(-0.250886\pi\) |
−0.00278255 | + | 0.999996i | \(0.500886\pi\) | |||||||
\(444\) | 0.257346 | − | 10.8438i | 0.0122131 | − | 0.514625i | ||||
\(445\) | 2.29430 | + | 5.53892i | 0.108760 | + | 0.262570i | ||||
\(446\) | 29.5285 | − | 28.8361i | 1.39822 | − | 1.36543i | ||||
\(447\) | 0.588296i | 0.0278254i | ||||||||
\(448\) | −3.42343 | − | 3.94911i | −0.161742 | − | 0.186578i | ||||
\(449\) | 10.1764i | 0.480254i | 0.970742 | + | 0.240127i | \(0.0771890\pi\) | ||||
−0.970742 | + | 0.240127i | \(0.922811\pi\) | |||||||
\(450\) | 2.00351 | + | 2.05162i | 0.0944465 | + | 0.0967145i | ||||
\(451\) | −5.28000 | − | 12.7470i | −0.248625 | − | 0.600235i | ||||
\(452\) | 1.23981 | + | 0.0294233i | 0.0583160 | + | 0.00138396i | ||||
\(453\) | −3.69730 | + | 8.92607i | −0.173714 | + | 0.419383i | ||||
\(454\) | −22.9650 | − | 9.83319i | −1.07780 | − | 0.461495i | ||||
\(455\) | −1.09176 | − | 0.388989i | −0.0511825 | − | 0.0182361i | ||||
\(456\) | −0.834980 | + | 23.4503i | −0.0391015 | + | 1.09816i | ||||
\(457\) | 11.1580 | + | 11.1580i | 0.521951 | + | 0.521951i | 0.918160 | − | 0.396209i | \(-0.129674\pi\) |
−0.396209 | + | 0.918160i | \(0.629674\pi\) | |||||||
\(458\) | −30.6126 | + | 12.2567i | −1.43043 | + | 0.572719i | ||||
\(459\) | −3.10784 | + | 7.50300i | −0.145062 | + | 0.350210i | ||||
\(460\) | −0.385106 | + | 0.148913i | −0.0179557 | + | 0.00694311i | ||||
\(461\) | 1.53461 | + | 3.70488i | 0.0714740 | + | 0.172553i | 0.955579 | − | 0.294734i | \(-0.0952312\pi\) |
−0.884105 | + | 0.467288i | \(0.845231\pi\) | |||||||
\(462\) | 0.0303395 | − | 2.55720i | 0.00141152 | − | 0.118972i | ||||
\(463\) | −25.6755 | −1.19324 | −0.596620 | − | 0.802524i | \(-0.703490\pi\) | ||||
−0.596620 | + | 0.802524i | \(0.703490\pi\) | |||||||
\(464\) | 2.38321 | + | 6.62650i | 0.110638 | + | 0.307627i | ||||
\(465\) | 5.37846i | 0.249420i | ||||||||
\(466\) | −0.729684 | − | 0.00865721i | −0.0338020 | − | 0.000401038i | ||||
\(467\) | 36.7938 | − | 15.2405i | 1.70261 | − | 0.705245i | 0.702632 | − | 0.711553i | \(-0.252008\pi\) |
0.999980 | + | 0.00630848i | \(0.00200807\pi\) | |||||||
\(468\) | −3.07211 | + | 0.0820435i | −0.142009 | + | 0.00379246i | ||||
\(469\) | −1.05834 | + | 2.55505i | −0.0488695 | + | 0.117981i | ||||
\(470\) | −1.92578 | + | 0.771049i | −0.0888298 | + | 0.0355658i | ||||
\(471\) | 25.2493 | − | 25.2493i | 1.16343 | − | 1.16343i | ||||
\(472\) | −9.90529 | − | 26.5483i | −0.455928 | − | 1.22199i | ||||
\(473\) | −0.993255 | + | 0.993255i | −0.0456699 | + | 0.0456699i | ||||
\(474\) | −4.88813 | − | 2.09301i | −0.224519 | − | 0.0961352i | ||||
\(475\) | −8.16073 | + | 19.7017i | −0.374440 | + | 0.903978i | ||||
\(476\) | −1.61186 | + | 1.53713i | −0.0738797 | + | 0.0704543i | ||||
\(477\) | 1.85972 | + | 4.48977i | 0.0851510 | + | 0.205573i | ||||
\(478\) | 20.4761 | + | 20.9678i | 0.936554 | + | 0.959044i | ||||
\(479\) | − | 31.1146i | − | 1.42166i | −0.703362 | − | 0.710832i | \(-0.748319\pi\) | ||
0.703362 | − | 0.710832i | \(-0.251681\pi\) | |||||||
\(480\) | 3.42061 | + | 3.85256i | 0.156129 | + | 0.175844i | ||||
\(481\) | 4.52961 | + | 9.54396i | 0.206533 | + | 0.435167i | ||||
\(482\) | −17.3996 | − | 17.8175i | −0.792532 | − | 0.811564i | ||||
\(483\) | −0.468759 | + | 0.194166i | −0.0213293 | + | 0.00883487i | ||||
\(484\) | 12.6843 | − | 12.0962i | 0.576561 | − | 0.549829i | ||||
\(485\) | 5.57775 | + | 2.31038i | 0.253272 | + | 0.104909i | ||||
\(486\) | 5.71622 | + | 2.44758i | 0.259293 | + | 0.111025i | ||||
\(487\) | 16.0346 | − | 16.0346i | 0.726597 | − | 0.726597i | −0.243343 | − | 0.969940i | \(-0.578244\pi\) |
0.969940 | + | 0.243343i | \(0.0782441\pi\) | |||||||
\(488\) | −21.4429 | − | 9.78983i | −0.970674 | − | 0.443165i | ||||
\(489\) | −7.78341 | − | 7.78341i | −0.351978 | − | 0.351978i | ||||
\(490\) | −1.70009 | − | 4.24619i | −0.0768025 | − | 0.191823i | ||||
\(491\) | 7.98933 | − | 19.2879i | 0.360553 | − | 0.870453i | −0.634666 | − | 0.772787i | \(-0.718862\pi\) |
0.995219 | − | 0.0976660i | \(-0.0311377\pi\) | |||||||
\(492\) | 31.2370 | + | 13.8159i | 1.40827 | + | 0.622870i | ||||
\(493\) | 2.77261 | − | 1.14845i | 0.124872 | − | 0.0517238i | ||||
\(494\) | −9.55334 | − | 20.7614i | −0.429825 | − | 0.934098i | ||||
\(495\) | 0.313579i | 0.0140943i | ||||||||
\(496\) | 1.12057 | − | 23.5956i | 0.0503151 | − | 1.05947i | ||||
\(497\) | − | 3.09348i | − | 0.138761i | ||||||
\(498\) | 6.44365 | + | 0.0764496i | 0.288747 | + | 0.00342579i | ||||
\(499\) | −1.27410 | − | 3.07595i | −0.0570366 | − | 0.137698i | 0.892792 | − | 0.450469i | \(-0.148743\pi\) |
−0.949829 | + | 0.312770i | \(0.898743\pi\) | |||||||
\(500\) | 3.46317 | + | 8.95615i | 0.154878 | + | 0.400531i | ||||
\(501\) | 24.5494 | + | 10.1687i | 1.09679 | + | 0.454304i | ||||
\(502\) | 13.3209 | + | 33.2706i | 0.594543 | + | 1.48494i | ||||
\(503\) | −30.1649 | + | 30.1649i | −1.34499 | + | 1.34499i | −0.453970 | + | 0.891017i | \(0.649993\pi\) |
−0.891017 | + | 0.453970i | \(0.850007\pi\) | |||||||
\(504\) | 0.536677 | + | 0.576306i | 0.0239055 | + | 0.0256707i | ||||
\(505\) | −4.24924 | + | 4.24924i | −0.189089 | + | 0.189089i | ||||
\(506\) | 0.815715 | + | 0.349275i | 0.0362630 | + | 0.0155271i | ||||
\(507\) | 21.1911 | − | 11.4000i | 0.941131 | − | 0.506292i | ||||
\(508\) | 0.0461882 | − | 1.94624i | 0.00204927 | − | 0.0863505i | ||||
\(509\) | −35.6760 | + | 14.7775i | −1.58131 | + | 0.655000i | −0.988621 | − | 0.150431i | \(-0.951934\pi\) |
−0.592690 | + | 0.805431i | \(0.701934\pi\) | |||||||
\(510\) | 1.57082 | − | 1.53398i | 0.0695571 | − | 0.0679259i | ||||
\(511\) | −6.94277 | −0.307130 | ||||||||
\(512\) | −14.2037 | − | 17.6140i | −0.627723 | − | 0.778437i | ||||
\(513\) | 21.3529i | 0.942754i | ||||||||
\(514\) | 17.2222 | + | 17.6358i | 0.759640 | + | 0.777881i | ||||
\(515\) | 1.53492 | − | 0.635783i | 0.0676365 | − | 0.0280159i | ||||
\(516\) | 0.0825013 | − | 3.47637i | 0.00363192 | − | 0.153039i | ||||
\(517\) | 4.11873 | + | 1.70603i | 0.181141 | + | 0.0750312i | ||||
\(518\) | 1.06554 | − | 2.48853i | 0.0468173 | − | 0.109340i | ||||
\(519\) | −6.02134 | − | 6.02134i | −0.264307 | − | 0.264307i | ||||
\(520\) | −4.66379 | − | 1.85123i | −0.204521 | − | 0.0811818i | ||||
\(521\) | −21.8069 | + | 21.8069i | −0.955379 | + | 0.955379i | −0.999046 | − | 0.0436669i | \(-0.986096\pi\) |
0.0436669 | + | 0.999046i | \(0.486096\pi\) | |||||||
\(522\) | −0.394395 | − | 0.985047i | −0.0172622 | − | 0.0431143i | ||||
\(523\) | 3.49352 | − | 8.43410i | 0.152761 | − | 0.368798i | −0.828910 | − | 0.559382i | \(-0.811038\pi\) |
0.981671 | + | 0.190585i | \(0.0610384\pi\) | |||||||
\(524\) | 24.4246 | − | 9.44453i | 1.06700 | − | 0.412586i | ||||
\(525\) | 2.20178 | + | 5.31556i | 0.0960935 | + | 0.231990i | ||||
\(526\) | 0.333929 | − | 28.1457i | 0.0145600 | − | 1.22721i | ||||
\(527\) | −10.0669 | −0.438521 | ||||||||
\(528\) | 0.525227 | − | 11.0596i | 0.0228576 | − | 0.481306i | ||||
\(529\) | 22.8240i | 0.992346i | ||||||||
\(530\) | −0.0941326 | + | 7.93408i | −0.00408886 | + | 0.344634i | ||||
\(531\) | 1.63389 | + | 3.94456i | 0.0709049 | + | 0.171180i | ||||
\(532\) | −2.36881 | + | 5.35574i | −0.102701 | + | 0.232201i | ||||
\(533\) | −33.2239 | + | 1.67681i | −1.43909 | + | 0.0726306i | ||||
\(534\) | 11.8556 | + | 29.6108i | 0.513043 | + | 1.28138i | ||||
\(535\) | 1.58565 | + | 1.58565i | 0.0685538 | + | 0.0685538i | ||||
\(536\) | −4.97273 | + | 10.8919i | −0.214789 | + | 0.470458i | ||||
\(537\) | −19.6641 | − | 19.6641i | −0.848568 | − | 0.848568i | ||||
\(538\) | 12.0345 | + | 5.15295i | 0.518843 | + | 0.222159i | ||||
\(539\) | −3.76165 | + | 9.08143i | −0.162026 | + | 0.391165i | ||||
\(540\) | 3.23548 | + | 3.39278i | 0.139233 | + | 0.146002i | ||||
\(541\) | 41.4646 | − | 17.1752i | 1.78270 | − | 0.738420i | 0.790701 | − | 0.612202i | \(-0.209716\pi\) |
0.992002 | − | 0.126218i | \(-0.0402840\pi\) | |||||||
\(542\) | 28.0205 | + | 28.6934i | 1.20358 | + | 1.23249i | ||||
\(543\) | 6.30064 | 0.270386 | ||||||||
\(544\) | −7.21086 | + | 6.40239i | −0.309163 | + | 0.274500i | ||||
\(545\) | 0.0545792 | 0.00233791 | ||||||||
\(546\) | −5.78340 | − | 2.13825i | −0.247506 | − | 0.0915087i | ||||
\(547\) | 13.4907 | + | 32.5695i | 0.576821 | + | 1.39257i | 0.895651 | + | 0.444758i | \(0.146710\pi\) |
−0.318830 | + | 0.947812i | \(0.603290\pi\) | |||||||
\(548\) | −0.746323 | + | 0.711721i | −0.0318814 | + | 0.0304032i | ||||
\(549\) | 3.28138 | + | 1.35919i | 0.140046 | + | 0.0580089i | ||||
\(550\) | 3.96065 | − | 9.24993i | 0.168883 | − | 0.394418i | ||||
\(551\) | 5.57952 | − | 5.57952i | 0.237695 | − | 0.237695i | ||||
\(552\) | −2.05809 | + | 0.767883i | −0.0875981 | + | 0.0326833i | ||||
\(553\) | −0.938374 | − | 0.938374i | −0.0399037 | − | 0.0399037i | ||||
\(554\) | 18.1541 | − | 7.26856i | 0.771293 | − | 0.308812i | ||||
\(555\) | −1.02119 | + | 2.46538i | −0.0433472 | + | 0.104649i | ||||
\(556\) | 16.4272 | + | 7.26562i | 0.696667 | + | 0.308131i | ||||
\(557\) | 12.0907 | + | 29.1896i | 0.512300 | + | 1.23680i | 0.942542 | + | 0.334088i | \(0.108428\pi\) |
−0.430241 | + | 0.902714i | \(0.641572\pi\) | |||||||
\(558\) | −0.0422258 | + | 3.55905i | −0.00178756 | + | 0.150667i | ||||
\(559\) | 1.45213 | + | 3.05966i | 0.0614185 | + | 0.129410i | ||||
\(560\) | 0.435142 | + | 1.20991i | 0.0183881 | + | 0.0511280i | ||||
\(561\) | −4.71849 | −0.199215 | ||||||||
\(562\) | −36.7421 | − | 0.435920i | −1.54987 | − | 0.0183882i | ||||
\(563\) | −14.3928 | + | 5.96171i | −0.606586 | + | 0.251256i | −0.664768 | − | 0.747050i | \(-0.731470\pi\) |
0.0581820 | + | 0.998306i | \(0.481470\pi\) | |||||||
\(564\) | −10.2935 | + | 3.98028i | −0.433433 | + | 0.167600i | ||||
\(565\) | −0.281876 | − | 0.116757i | −0.0118586 | − | 0.00491200i | ||||
\(566\) | 8.24617 | + | 20.5958i | 0.346612 | + | 0.865705i | ||||
\(567\) | 4.66430 | + | 4.66430i | 0.195882 | + | 0.195882i | ||||
\(568\) | 0.476575 | − | 13.3846i | 0.0199967 | − | 0.561603i | ||||
\(569\) | −7.36313 | − | 7.36313i | −0.308679 | − | 0.308679i | 0.535718 | − | 0.844397i | \(-0.320041\pi\) |
−0.844397 | + | 0.535718i | \(0.820041\pi\) | |||||||
\(570\) | 2.27227 | − | 5.30680i | 0.0951751 | − | 0.222277i | ||||
\(571\) | 26.2464 | + | 10.8716i | 1.09838 | + | 0.454963i | 0.856921 | − | 0.515448i | \(-0.172375\pi\) |
0.241457 | + | 0.970411i | \(0.422375\pi\) | |||||||
\(572\) | 4.39121 | + | 9.84903i | 0.183606 | + | 0.411809i | ||||
\(573\) | −8.60410 | − | 20.7721i | −0.359441 | − | 0.867768i | ||||
\(574\) | 5.95567 | + | 6.09869i | 0.248585 | + | 0.254554i | ||||
\(575\) | −1.99633 | −0.0832526 | ||||||||
\(576\) | 2.23325 | + | 2.57618i | 0.0930523 | + | 0.107341i | ||||
\(577\) | − | 26.3446i | − | 1.09674i | −0.836235 | − | 0.548371i | \(-0.815248\pi\) | ||
0.836235 | − | 0.548371i | \(-0.184752\pi\) | |||||||
\(578\) | −13.9260 | − | 14.2604i | −0.579243 | − | 0.593153i | ||||
\(579\) | −2.78626 | + | 1.15411i | −0.115793 | + | 0.0479630i | ||||
\(580\) | 0.0411030 | − | 1.73196i | 0.00170671 | − | 0.0719159i | ||||
\(581\) | 1.48584 | + | 0.615454i | 0.0616429 | + | 0.0255333i | ||||
\(582\) | 29.5267 | + | 12.6428i | 1.22392 | + | 0.524061i | ||||
\(583\) | 12.0577 | − | 12.0577i | 0.499381 | − | 0.499381i | ||||
\(584\) | −30.0393 | − | 1.06959i | −1.24303 | − | 0.0442599i | ||||
\(585\) | 0.712203 | + | 0.253755i | 0.0294460 | + | 0.0104915i | ||||
\(586\) | −9.91824 | + | 3.97108i | −0.409719 | + | 0.164044i | ||||
\(587\) | 28.8897 | + | 11.9665i | 1.19241 | + | 0.493911i | 0.888538 | − | 0.458803i | \(-0.151722\pi\) |
0.303869 | + | 0.952714i | \(0.401722\pi\) | |||||||
\(588\) | −8.77617 | − | 22.6962i | −0.361923 | − | 0.935975i | ||||
\(589\) | −24.4539 | + | 10.1291i | −1.00761 | + | 0.417364i | ||||
\(590\) | −0.0827017 | + | 6.97062i | −0.00340478 | + | 0.286976i | ||||
\(591\) | 18.9917 | 0.781215 | ||||||||
\(592\) | 4.99367 | − | 10.6030i | 0.205238 | − | 0.435779i | ||||
\(593\) | 2.98017 | 0.122381 | 0.0611904 | − | 0.998126i | \(-0.480510\pi\) | ||||
0.0611904 | + | 0.998126i | \(0.480510\pi\) | |||||||
\(594\) | 0.119529 | − | 10.0747i | 0.00490434 | − | 0.413368i | ||||
\(595\) | 0.506242 | − | 0.209692i | 0.0207539 | − | 0.00859655i | ||||
\(596\) | −0.257119 | + | 0.581331i | −0.0105320 | + | 0.0238123i | ||||
\(597\) | −2.48075 | + | 5.98905i | −0.101530 | + | 0.245115i | ||||
\(598\) | 1.45337 | − | 1.57002i | 0.0594328 | − | 0.0642029i | ||||
\(599\) | −27.4165 | + | 27.4165i | −1.12021 | + | 1.12021i | −0.128499 | + | 0.991710i | \(0.541016\pi\) |
−0.991710 | + | 0.128499i | \(0.958984\pi\) | |||||||
\(600\) | 8.70752 | + | 23.3380i | 0.355483 | + | 0.952771i | ||||
\(601\) | 15.2667 | + | 15.2667i | 0.622740 | + | 0.622740i | 0.946231 | − | 0.323491i | \(-0.104857\pi\) |
−0.323491 | + | 0.946231i | \(0.604857\pi\) | |||||||
\(602\) | 0.341598 | − | 0.797787i | 0.0139225 | − | 0.0325154i | ||||
\(603\) | 0.690401 | − | 1.66678i | 0.0281153 | − | 0.0678763i | ||||
\(604\) | −7.55473 | + | 7.20446i | −0.307398 | + | 0.293146i | ||||
\(605\) | −3.98380 | + | 1.65014i | −0.161965 | + | 0.0670879i | ||||
\(606\) | −22.8733 | + | 22.3369i | −0.929166 | + | 0.907376i | ||||
\(607\) | −40.3989 | −1.63974 | −0.819870 | − | 0.572550i | \(-0.805954\pi\) | ||||
−0.819870 | + | 0.572550i | \(0.805954\pi\) | |||||||
\(608\) | −11.0742 | + | 22.8077i | −0.449119 | + | 0.924976i | ||||
\(609\) | − | 2.12890i | − | 0.0862675i | ||||||
\(610\) | 4.05164 | + | 4.14893i | 0.164046 | + | 0.167985i | ||||
\(611\) | 7.20773 | − | 7.97394i | 0.291593 | − | 0.322591i | ||||
\(612\) | 1.05149 | − | 1.00274i | 0.0425040 | − | 0.0405334i | ||||
\(613\) | 8.65286 | − | 20.8899i | 0.349486 | − | 0.843733i | −0.647195 | − | 0.762324i | \(-0.724058\pi\) |
0.996681 | − | 0.0814088i | \(-0.0259419\pi\) | |||||||
\(614\) | 12.0746 | − | 28.1996i | 0.487289 | − | 1.13804i | ||||
\(615\) | −5.94176 | − | 5.94176i | −0.239595 | − | 0.239595i | ||||
\(616\) | 1.14762 | − | 2.51367i | 0.0462391 | − | 0.101279i | ||||
\(617\) | −8.57525 | − | 8.57525i | −0.345227 | − | 0.345227i | 0.513101 | − | 0.858328i | \(-0.328496\pi\) |
−0.858328 | + | 0.513101i | \(0.828496\pi\) | |||||||
\(618\) | 8.20558 | − | 3.28536i | 0.330077 | − | 0.132157i | ||||
\(619\) | −41.8914 | − | 17.3520i | −1.68376 | − | 0.697435i | −0.684263 | − | 0.729235i | \(-0.739876\pi\) |
−0.999494 | + | 0.0318003i | \(0.989876\pi\) | |||||||
\(620\) | −2.35069 | + | 5.31479i | −0.0944062 | + | 0.213447i | ||||
\(621\) | −1.84678 | + | 0.764961i | −0.0741087 | + | 0.0306968i | ||||
\(622\) | 29.4441 | + | 0.349334i | 1.18060 | + | 0.0140070i | ||||
\(623\) | 7.96030i | 0.318923i | ||||||||
\(624\) | −24.6936 | − | 10.1425i | −0.988535 | − | 0.406027i | ||||
\(625\) | 21.4272i | 0.857087i | ||||||||
\(626\) | 0.502801 | − | 42.3792i | 0.0200960 | − | 1.69381i | ||||
\(627\) | −11.4619 | + | 4.74767i | −0.457744 | + | 0.189604i | ||||
\(628\) | 35.9858 | − | 13.9150i | 1.43599 | − | 0.555270i | ||||
\(629\) | −4.61446 | − | 1.91137i | −0.183991 | − | 0.0762114i | ||||
\(630\) | −0.0720112 | − | 0.179856i | −0.00286900 | − | 0.00716565i | ||||
\(631\) | −6.56786 | − | 6.56786i | −0.261463 | − | 0.261463i | 0.564186 | − | 0.825648i | \(-0.309190\pi\) |
−0.825648 | + | 0.564186i | \(0.809190\pi\) | |||||||
\(632\) | −3.91550 | − | 4.20463i | −0.155750 | − | 0.167251i | ||||
\(633\) | −17.7407 | − | 17.7407i | −0.705130 | − | 0.705130i | ||||
\(634\) | 17.3628 | + | 7.43443i | 0.689564 | + | 0.295259i | ||||
\(635\) | −0.183283 | + | 0.442484i | −0.00727336 | + | 0.0175594i | ||||
\(636\) | −1.00153 | + | 42.2018i | −0.0397134 | + | 1.67341i | ||||
\(637\) | 17.5819 | + | 15.8924i | 0.696618 | + | 0.629680i | ||||
\(638\) | −2.66374 | + | 2.60127i | −0.105458 | + | 0.102985i | ||||
\(639\) | 2.01801i | 0.0798314i | ||||||||
\(640\) | 1.69633 | + | 5.30195i | 0.0670534 | + | 0.209578i | ||||
\(641\) | −38.7471 | −1.53042 | −0.765209 | − | 0.643781i | \(-0.777365\pi\) | ||||
−0.765209 | + | 0.643781i | \(0.777365\pi\) | |||||||
\(642\) | 8.33530 | + | 8.53546i | 0.328968 | + | 0.336868i | ||||
\(643\) | 43.8206 | − | 18.1511i | 1.72812 | − | 0.715809i | 0.728593 | − | 0.684947i | \(-0.240175\pi\) |
0.999524 | − | 0.0308625i | \(-0.00982540\pi\) | |||||||
\(644\) | −0.548071 | − | 0.0130068i | −0.0215970 | − | 0.000512541i | ||||
\(645\) | −0.327379 | + | 0.790364i | −0.0128906 | + | 0.0311206i | ||||
\(646\) | 9.93276 | + | 4.25303i | 0.390799 | + | 0.167333i | ||||
\(647\) | −21.2512 | − | 21.2512i | −0.835470 | − | 0.835470i | 0.152789 | − | 0.988259i | \(-0.451174\pi\) |
−0.988259 | + | 0.152789i | \(0.951174\pi\) | |||||||
\(648\) | 19.4624 | + | 20.8996i | 0.764557 | + | 0.821014i | ||||
\(649\) | 10.5935 | − | 10.5935i | 0.415832 | − | 0.415832i | ||||
\(650\) | −17.8035 | − | 16.4807i | −0.698311 | − | 0.646427i | ||||
\(651\) | −2.73286 | + | 6.59771i | −0.107109 | + | 0.258585i | ||||
\(652\) | −4.28947 | − | 11.0931i | −0.167989 | − | 0.434438i | ||||
\(653\) | 13.2308 | − | 5.48038i | 0.517761 | − | 0.214464i | −0.108472 | − | 0.994100i | \(-0.534596\pi\) |
0.626233 | + | 0.779636i | \(0.284596\pi\) | |||||||
\(654\) | 0.290351 | + | 0.00344482i | 0.0113536 | + | 0.000134703i | ||||
\(655\) | −6.44244 | −0.251727 | ||||||||
\(656\) | 24.8288 | + | 27.3047i | 0.969404 | + | 1.06607i | ||||
\(657\) | 4.52908 | 0.176696 | ||||||||
\(658\) | −2.75412 | − | 0.0326758i | −0.107367 | − | 0.00127384i | ||||
\(659\) | 41.4075 | − | 17.1515i | 1.61301 | − | 0.668129i | 0.619828 | − | 0.784738i | \(-0.287202\pi\) |
0.993178 | + | 0.116609i | \(0.0372023\pi\) | |||||||
\(660\) | −1.10180 | + | 2.49111i | −0.0428876 | + | 0.0969665i | ||||
\(661\) | −14.5349 | − | 6.02056i | −0.565342 | − | 0.234172i | 0.0816603 | − | 0.996660i | \(-0.473978\pi\) |
−0.647003 | + | 0.762488i | \(0.723978\pi\) | |||||||
\(662\) | 10.3784 | + | 25.9212i | 0.403367 | + | 1.00746i | ||||
\(663\) | −3.81831 | + | 10.7167i | −0.148291 | + | 0.416202i | ||||
\(664\) | 6.33395 | + | 2.89179i | 0.245805 | + | 0.112223i | ||||
\(665\) | 1.01874 | − | 1.01874i | 0.0395052 | − | 0.0395052i | ||||
\(666\) | −0.695102 | + | 1.62338i | −0.0269347 | + | 0.0629047i | ||||
\(667\) | 0.682447 | + | 0.282679i | 0.0264245 | + | 0.0109454i | ||||
\(668\) | 19.8145 | + | 20.7778i | 0.766645 | + | 0.803917i | ||||
\(669\) | −49.9080 | + | 20.6726i | −1.92956 | + | 0.799248i | ||||
\(670\) | 2.10745 | − | 2.05803i | 0.0814178 | − | 0.0795085i | ||||
\(671\) | − | 12.4627i | − | 0.481119i | ||||||
\(672\) | 2.23851 | + | 6.46395i | 0.0863522 | + | 0.249352i | ||||
\(673\) | 15.4736 | 0.596462 | 0.298231 | − | 0.954494i | \(-0.403603\pi\) | ||||
0.298231 | + | 0.954494i | \(0.403603\pi\) | |||||||
\(674\) | 11.0232 | − | 10.7647i | 0.424596 | − | 0.414639i | ||||
\(675\) | 8.67439 | + | 20.9418i | 0.333877 | + | 0.806051i | ||||
\(676\) | 25.9227 | − | 2.00330i | 0.997027 | − | 0.0770502i | ||||
\(677\) | −23.6793 | − | 9.80828i | −0.910069 | − | 0.376963i | −0.121986 | − | 0.992532i | \(-0.538926\pi\) |
−0.788083 | + | 0.615569i | \(0.788926\pi\) | |||||||
\(678\) | −1.49216 | − | 0.638915i | −0.0573059 | − | 0.0245374i | ||||
\(679\) | 5.66824 | + | 5.66824i | 0.217527 | + | 0.217527i | ||||
\(680\) | 2.22266 | − | 0.829285i | 0.0852352 | − | 0.0318016i | ||||
\(681\) | 23.1204 | + | 23.1204i | 0.885976 | + | 0.885976i | ||||
\(682\) | 11.5945 | − | 4.64221i | 0.443975 | − | 0.177759i | ||||
\(683\) | 8.90393 | + | 3.68813i | 0.340700 | + | 0.141122i | 0.546472 | − | 0.837478i | \(-0.315971\pi\) |
−0.205772 | + | 0.978600i | \(0.565971\pi\) | |||||||
\(684\) | 1.54528 | − | 3.49379i | 0.0590853 | − | 0.133588i | ||||
\(685\) | 0.234400 | − | 0.0970915i | 0.00895595 | − | 0.00370968i | ||||
\(686\) | 0.148773 | − | 12.5395i | 0.00568017 | − | 0.478760i | ||||
\(687\) | 43.1595 | 1.64664 | ||||||||
\(688\) | 1.60090 | − | 3.39916i | 0.0610336 | − | 0.129592i | ||||
\(689\) | −17.6283 | − | 37.1431i | −0.671585 | − | 1.41504i | ||||
\(690\) | 0.540379 | + | 0.00641124i | 0.0205719 | + | 0.000244072i | ||||
\(691\) | −6.64580 | − | 16.0444i | −0.252818 | − | 0.610357i | 0.745611 | − | 0.666381i | \(-0.232158\pi\) |
−0.998429 | + | 0.0560242i | \(0.982158\pi\) | |||||||
\(692\) | −3.31838 | − | 8.58172i | −0.126146 | − | 0.326228i | ||||
\(693\) | −0.159333 | + | 0.384664i | −0.00605256 | + | 0.0146122i | ||||
\(694\) | −11.9449 | − | 29.8339i | −0.453424 | − | 1.13248i | ||||
\(695\) | −3.12470 | − | 3.12470i | −0.118527 | − | 0.118527i | ||||
\(696\) | 0.327975 | − | 9.21112i | 0.0124318 | − | 0.349147i | ||||
\(697\) | 11.1212 | − | 11.1212i | 0.421247 | − | 0.421247i | ||||
\(698\) | 23.8893 | + | 10.2290i | 0.904223 | + | 0.387172i | ||||
\(699\) | 0.882410 | + | 0.365506i | 0.0333758 | + | 0.0138247i | ||||
\(700\) | −0.147493 | + | 6.21494i | −0.00557471 | + | 0.234903i | ||||
\(701\) | 5.86249 | + | 14.1533i | 0.221423 | + | 0.534563i | 0.995084 | − | 0.0990377i | \(-0.0315764\pi\) |
−0.773661 | + | 0.633600i | \(0.781576\pi\) | |||||||
\(702\) | −22.7850 | − | 8.42411i | −0.859963 | − | 0.317948i | ||||
\(703\) | −13.1324 | −0.495297 | ||||||||
\(704\) | 5.35267 | − | 10.6991i | 0.201736 | − | 0.403237i | ||||
\(705\) | 2.71509 | 0.102256 | ||||||||
\(706\) | −3.01650 | + | 2.94577i | −0.113528 | + | 0.110865i | ||||
\(707\) | −7.37159 | + | 3.05341i | −0.277237 | + | 0.114835i | ||||
\(708\) | −0.879915 | + | 37.0771i | −0.0330692 | + | 1.39344i | ||||
\(709\) | 7.86177 | − | 18.9800i | 0.295255 | − | 0.712809i | −0.704739 | − | 0.709466i | \(-0.748936\pi\) |
0.999994 | − | 0.00334251i | \(-0.00106396\pi\) | |||||||
\(710\) | −1.29693 | + | 3.02892i | −0.0486729 | + | 0.113673i | ||||
\(711\) | 0.612143 | + | 0.612143i | 0.0229572 | + | 0.0229572i | ||||
\(712\) | −1.22635 | + | 34.4418i | −0.0459594 | + | 1.29076i | ||||
\(713\) | −1.75211 | − | 1.75211i | −0.0656169 | − | 0.0656169i | ||||
\(714\) | 2.70634 | − | 1.08357i | 0.101282 | − | 0.0405516i | ||||
\(715\) | −0.133723 | − | 2.64957i | −0.00500097 | − | 0.0990882i | ||||
\(716\) | −10.8370 | − | 28.0256i | −0.404996 | − | 1.04737i | ||||
\(717\) | −14.6793 | − | 35.4390i | −0.548208 | − | 1.32349i | ||||
\(718\) | 30.6995 | + | 0.364229i | 1.14570 | + | 0.0135929i | ||||
\(719\) | 32.0956i | 1.19696i | 0.801137 | + | 0.598481i | \(0.204229\pi\) | ||||
−0.801137 | + | 0.598481i | \(0.795771\pi\) | |||||||
\(720\) | −0.283862 | − | 0.789279i | −0.0105789 | − | 0.0294147i | ||||
\(721\) | 2.20592 | 0.0821526 | ||||||||
\(722\) | 1.53925 | + | 0.0182622i | 0.0572850 | + | 0.000679649i | ||||
\(723\) | 12.4738 | + | 30.1144i | 0.463906 | + | 1.11997i | ||||
\(724\) | 6.22605 | + | 2.75374i | 0.231389 | + | 0.102342i | ||||
\(725\) | 3.20548 | − | 7.73871i | 0.119049 | − | 0.287409i | ||||
\(726\) | −21.2972 | + | 8.52701i | −0.790413 | + | 0.316467i | ||||
\(727\) | −11.6971 | + | 11.6971i | −0.433822 | + | 0.433822i | −0.889926 | − | 0.456104i | \(-0.849244\pi\) |
0.456104 | + | 0.889926i | \(0.349244\pi\) | |||||||
\(728\) | −4.78039 | − | 4.64061i | −0.177173 | − | 0.171993i | ||||
\(729\) | 15.6639 | + | 15.6639i | 0.580143 | + | 0.580143i | ||||
\(730\) | 6.79787 | + | 2.91073i | 0.251601 | + | 0.107731i | ||||
\(731\) | −1.47933 | − | 0.612758i | −0.0547150 | − | 0.0226637i | ||||
\(732\) | 21.2921 | + | 22.3272i | 0.786977 | + | 0.825238i | ||||
\(733\) | 7.03835 | − | 2.91538i | 0.259967 | − | 0.107682i | −0.248893 | − | 0.968531i | \(-0.580067\pi\) |
0.508861 | + | 0.860849i | \(0.330067\pi\) | |||||||
\(734\) | −16.6878 | + | 16.2964i | −0.615956 | + | 0.601512i | ||||
\(735\) | 5.98653i | 0.220816i | ||||||||
\(736\) | −2.36933 | − | 0.140711i | −0.0873348 | − | 0.00518669i | ||||
\(737\) | −6.33044 | −0.233185 | ||||||||
\(738\) | −3.88515 | − | 3.97845i | −0.143014 | − | 0.146449i | ||||
\(739\) | 0.212356 | − | 0.0879608i | 0.00781165 | − | 0.00323569i | −0.378774 | − | 0.925489i | \(-0.623654\pi\) |
0.386586 | + | 0.922253i | \(0.373654\pi\) | |||||||
\(740\) | −2.08661 | + | 1.98987i | −0.0767054 | + | 0.0731491i | ||||
\(741\) | 1.50775 | + | 29.8743i | 0.0553887 | + | 1.09746i | ||||
\(742\) | −4.14687 | + | 9.68483i | −0.152236 | + | 0.355541i | ||||
\(743\) | 35.8526 | − | 35.8526i | 1.31530 | − | 1.31530i | 0.397857 | − | 0.917447i | \(-0.369754\pi\) |
0.917447 | − | 0.397857i | \(-0.130246\pi\) | |||||||
\(744\) | −12.8407 | + | 28.1253i | −0.470763 | + | 1.03112i | ||||
\(745\) | 0.110578 | − | 0.110578i | 0.00405127 | − | 0.00405127i | ||||
\(746\) | −26.1688 | + | 10.4775i | −0.958107 | + | 0.383608i | ||||
\(747\) | −0.969278 | − | 0.401488i | −0.0354640 | − | 0.0146897i | ||||
\(748\) | −4.66263 | − | 2.06225i | −0.170483 | − | 0.0754034i | ||||
\(749\) | 1.13942 | + | 2.75080i | 0.0416334 | + | 0.100512i | ||||
\(750\) | 0.149102 | − | 12.5672i | 0.00544443 | − | 0.458890i | ||||
\(751\) | − | 38.2722i | − | 1.39657i | −0.715819 | − | 0.698286i | \(-0.753946\pi\) | ||
0.715819 | − | 0.698286i | \(-0.246054\pi\) | |||||||
\(752\) | −11.9112 | − | 0.565673i | −0.434357 | − | 0.0206280i | ||||
\(753\) | − | 46.9069i | − | 1.70938i | ||||||
\(754\) | 3.75249 | + | 8.15493i | 0.136658 | + | 0.296985i | ||||
\(755\) | 2.37273 | − | 0.982818i | 0.0863526 | − | 0.0357684i | ||||
\(756\) | 2.24502 | + | 5.80588i | 0.0816506 | + | 0.211158i | ||||
\(757\) | 13.2943 | − | 32.0953i | 0.483191 | − | 1.16653i | −0.474895 | − | 0.880043i | \(-0.657514\pi\) |
0.958085 | − | 0.286483i | \(-0.0924861\pi\) | |||||||
\(758\) | 27.4264 | − | 10.9810i | 0.996173 | − | 0.398849i | ||||
\(759\) | −0.821236 | − | 0.821236i | −0.0298090 | − | 0.0298090i | ||||
\(760\) | 4.56475 | − | 4.25086i | 0.165581 | − | 0.154195i | ||||
\(761\) | 27.8021 | − | 27.8021i | 1.00782 | − | 1.00782i | 0.00785529 | − | 0.999969i | \(-0.497500\pi\) |
0.999969 | − | 0.00785529i | \(-0.00250044\pi\) | |||||||
\(762\) | −1.00296 | + | 2.34236i | −0.0363333 | + | 0.0848548i | ||||
\(763\) | 0.0669518 | + | 0.0277323i | 0.00242382 | + | 0.00100398i | ||||
\(764\) | 0.576372 | − | 24.2867i | 0.0208524 | − | 0.878662i | ||||
\(765\) | −0.330244 | + | 0.136792i | −0.0119400 | + | 0.00494571i | ||||
\(766\) | −11.4322 | + | 11.1641i | −0.413062 | + | 0.403376i | ||||
\(767\) | −15.4876 | − | 32.6327i | −0.559226 | − | 1.17830i | ||||
\(768\) | 8.68951 | + | 28.3124i | 0.313556 | + | 1.02164i | ||||
\(769\) | − | 25.1124i | − | 0.905576i | −0.891618 | − |