Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(5,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.o (of order \(66\), degree \(20\), 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: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 171.6 | ||
Character | \(\chi\) | \(=\) | 322.171 |
Dual form | 322.2.o.b.145.6 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.327068 | + | 0.945001i | −0.231272 | + | 0.668216i | ||||
\(3\) | 0.451935 | + | 0.876631i | 0.260925 | + | 0.506123i | 0.982512 | − | 0.186200i | \(-0.0596174\pi\) |
−0.721587 | + | 0.692324i | \(0.756587\pi\) | |||||||
\(4\) | −0.786053 | − | 0.618159i | −0.393027 | − | 0.309079i | ||||
\(5\) | 2.24145 | − | 0.214033i | 1.00241 | − | 0.0957184i | 0.419075 | − | 0.907951i | \(-0.362354\pi\) |
0.583333 | + | 0.812233i | \(0.301748\pi\) | |||||||
\(6\) | −0.976231 | + | 0.140361i | −0.398545 | + | 0.0573021i | ||||
\(7\) | 0.164542 | − | 2.64063i | 0.0621910 | − | 0.998064i | ||||
\(8\) | 0.841254 | − | 0.540641i | 0.297428 | − | 0.191145i | ||||
\(9\) | 1.17593 | − | 1.65137i | 0.391978 | − | 0.550456i | ||||
\(10\) | −0.530846 | + | 2.18818i | −0.167868 | + | 0.691963i | ||||
\(11\) | 3.58719 | − | 1.24154i | 1.08158 | − | 0.374338i | 0.272571 | − | 0.962136i | \(-0.412126\pi\) |
0.809008 | + | 0.587797i | \(0.200005\pi\) | |||||||
\(12\) | 0.186653 | − | 0.968446i | 0.0538820 | − | 0.279566i | ||||
\(13\) | 0.694408 | + | 2.36494i | 0.192594 | + | 0.655915i | 0.998001 | + | 0.0631934i | \(0.0201285\pi\) |
−0.805407 | + | 0.592722i | \(0.798053\pi\) | |||||||
\(14\) | 2.44158 | + | 1.01916i | 0.652540 | + | 0.272381i | ||||
\(15\) | 1.20062 | + | 1.86820i | 0.309998 | + | 0.482367i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | −1.51275 | − | 0.605613i | −0.366895 | − | 0.146883i | 0.180886 | − | 0.983504i | \(-0.442103\pi\) |
−0.547782 | + | 0.836621i | \(0.684528\pi\) | |||||||
\(18\) | 1.17593 | + | 1.65137i | 0.277170 | + | 0.389231i | ||||
\(19\) | −3.39197 | + | 1.35794i | −0.778170 | + | 0.311532i | −0.726531 | − | 0.687133i | \(-0.758869\pi\) |
−0.0516391 | + | 0.998666i | \(0.516445\pi\) | |||||||
\(20\) | −1.89421 | − | 1.21733i | −0.423558 | − | 0.272204i | ||||
\(21\) | 2.38922 | − | 1.04915i | 0.521371 | − | 0.228943i | ||||
\(22\) | 3.79597i | 0.809303i | ||||||||
\(23\) | −4.41484 | + | 1.87329i | −0.920557 | + | 0.390608i | ||||
\(24\) | 0.854134 | + | 0.493135i | 0.174349 | + | 0.100661i | ||||
\(25\) | 0.0686608 | − | 0.0132333i | 0.0137322 | − | 0.00264666i | ||||
\(26\) | −2.46199 | − | 0.117279i | −0.482835 | − | 0.0230003i | ||||
\(27\) | 4.90778 | + | 0.705632i | 0.944502 | + | 0.135799i | ||||
\(28\) | −1.76167 | + | 1.97396i | −0.332924 | + | 0.373044i | ||||
\(29\) | 0.134745 | + | 0.937170i | 0.0250215 | + | 0.174028i | 0.998500 | − | 0.0547498i | \(-0.0174361\pi\) |
−0.973479 | + | 0.228778i | \(0.926527\pi\) | |||||||
\(30\) | −2.15813 | + | 0.523558i | −0.394020 | + | 0.0955881i | ||||
\(31\) | −2.63218 | + | 0.125386i | −0.472754 | + | 0.0225200i | −0.282607 | − | 0.959236i | \(-0.591199\pi\) |
−0.190147 | + | 0.981756i | \(0.560896\pi\) | |||||||
\(32\) | −0.995472 | − | 0.0950560i | −0.175976 | − | 0.0168037i | ||||
\(33\) | 2.70955 | + | 2.58355i | 0.471672 | + | 0.449739i | ||||
\(34\) | 1.06708 | − | 1.23147i | 0.183002 | − | 0.211196i | ||||
\(35\) | −0.196369 | − | 5.95407i | −0.0331923 | − | 1.00642i | ||||
\(36\) | −1.94515 | + | 0.571149i | −0.324192 | + | 0.0951914i | ||||
\(37\) | 7.04499 | + | 5.01672i | 1.15819 | + | 0.824743i | 0.987036 | − | 0.160501i | \(-0.0513110\pi\) |
0.171154 | + | 0.985244i | \(0.445250\pi\) | |||||||
\(38\) | −0.173849 | − | 3.64955i | −0.0282021 | − | 0.592035i | ||||
\(39\) | −1.75935 | + | 1.67754i | −0.281721 | + | 0.268621i | ||||
\(40\) | 1.76992 | − | 1.39188i | 0.279848 | − | 0.220075i | ||||
\(41\) | 3.54413 | + | 1.61855i | 0.553500 | + | 0.252775i | 0.672472 | − | 0.740123i | \(-0.265233\pi\) |
−0.118972 | + | 0.992898i | \(0.537960\pi\) | |||||||
\(42\) | 0.210010 | + | 2.60096i | 0.0324053 | + | 0.401337i | ||||
\(43\) | −2.10040 | + | 3.26829i | −0.320308 | + | 0.498409i | −0.963649 | − | 0.267170i | \(-0.913911\pi\) |
0.643341 | + | 0.765580i | \(0.277548\pi\) | |||||||
\(44\) | −3.58719 | − | 1.24154i | −0.540790 | − | 0.187169i | ||||
\(45\) | 2.28235 | − | 3.95315i | 0.340233 | − | 0.589301i | ||||
\(46\) | −0.326311 | − | 4.78472i | −0.0481119 | − | 0.705468i | ||||
\(47\) | −3.67308 | + | 2.12065i | −0.535774 | + | 0.309329i | −0.743364 | − | 0.668887i | \(-0.766771\pi\) |
0.207591 | + | 0.978216i | \(0.433438\pi\) | |||||||
\(48\) | −0.745373 | + | 0.645869i | −0.107585 | + | 0.0932232i | ||||
\(49\) | −6.94585 | − | 0.868988i | −0.992265 | − | 0.124141i | ||||
\(50\) | −0.00995128 | + | 0.0692127i | −0.00140732 | + | 0.00978815i | ||||
\(51\) | −0.152764 | − | 1.59982i | −0.0213913 | − | 0.224020i | ||||
\(52\) | 0.916065 | − | 2.28822i | 0.127035 | − | 0.317319i | ||||
\(53\) | −3.11517 | − | 3.26710i | −0.427902 | − | 0.448771i | 0.474120 | − | 0.880460i | \(-0.342766\pi\) |
−0.902022 | + | 0.431689i | \(0.857918\pi\) | |||||||
\(54\) | −2.27200 | + | 4.40706i | −0.309180 | + | 0.599725i | ||||
\(55\) | 7.77480 | − | 3.55063i | 1.04835 | − | 0.478767i | ||||
\(56\) | −1.28921 | − | 2.31040i | −0.172278 | − | 0.308740i | ||||
\(57\) | −2.72336 | − | 2.35980i | −0.360718 | − | 0.312564i | ||||
\(58\) | −0.929698 | − | 0.179185i | −0.122075 | − | 0.0235281i | ||||
\(59\) | −10.5072 | − | 2.54902i | −1.36792 | − | 0.331854i | −0.516479 | − | 0.856300i | \(-0.672757\pi\) |
−0.851444 | + | 0.524446i | \(0.824273\pi\) | |||||||
\(60\) | 0.211094 | − | 2.21068i | 0.0272521 | − | 0.285397i | ||||
\(61\) | 12.2733 | + | 6.32733i | 1.57144 | + | 0.810132i | 0.999945 | − | 0.0104757i | \(-0.00333458\pi\) |
0.571492 | + | 0.820608i | \(0.306365\pi\) | |||||||
\(62\) | 0.742412 | − | 2.52842i | 0.0942864 | − | 0.321110i | ||||
\(63\) | −4.16716 | − | 3.37692i | −0.525013 | − | 0.425452i | ||||
\(64\) | 0.415415 | − | 0.909632i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 2.06266 | + | 5.15227i | 0.255841 | + | 0.639060i | ||||
\(66\) | −3.32767 | + | 1.71553i | −0.409607 | + | 0.211167i | ||||
\(67\) | −2.01725 | − | 10.4665i | −0.246446 | − | 1.27869i | −0.868492 | − | 0.495704i | \(-0.834910\pi\) |
0.622045 | − | 0.782981i | \(-0.286302\pi\) | |||||||
\(68\) | 0.814736 | + | 1.41116i | 0.0988012 | + | 0.171129i | ||||
\(69\) | −3.63740 | − | 3.02358i | −0.437892 | − | 0.363996i | ||||
\(70\) | 5.69082 | + | 1.76182i | 0.680184 | + | 0.210577i | ||||
\(71\) | −5.11039 | − | 5.89770i | −0.606492 | − | 0.699929i | 0.366592 | − | 0.930382i | \(-0.380525\pi\) |
−0.973083 | + | 0.230453i | \(0.925979\pi\) | |||||||
\(72\) | 0.0964615 | − | 2.02498i | 0.0113681 | − | 0.238646i | ||||
\(73\) | −1.34623 | + | 1.71187i | −0.157565 | + | 0.200360i | −0.858425 | − | 0.512938i | \(-0.828557\pi\) |
0.700861 | + | 0.713298i | \(0.252799\pi\) | |||||||
\(74\) | −7.04499 | + | 5.01672i | −0.818964 | + | 0.583181i | ||||
\(75\) | 0.0426309 | + | 0.0542096i | 0.00492259 | + | 0.00625959i | ||||
\(76\) | 3.50569 | + | 1.02936i | 0.402130 | + | 0.118076i | ||||
\(77\) | −2.68820 | − | 9.67674i | −0.306349 | − | 1.10277i | ||||
\(78\) | −1.00985 | − | 2.21126i | −0.114343 | − | 0.250375i | ||||
\(79\) | 6.97330 | − | 7.31338i | 0.784557 | − | 0.822820i | −0.203148 | − | 0.979148i | \(-0.565117\pi\) |
0.987705 | + | 0.156328i | \(0.0499658\pi\) | |||||||
\(80\) | 0.736442 | + | 2.12781i | 0.0823368 | + | 0.237896i | ||||
\(81\) | −0.389751 | − | 1.12611i | −0.0433057 | − | 0.125123i | ||||
\(82\) | −2.68870 | + | 2.81983i | −0.296917 | + | 0.311398i | ||||
\(83\) | 1.07936 | + | 2.36347i | 0.118475 | + | 0.259425i | 0.959574 | − | 0.281457i | \(-0.0908178\pi\) |
−0.841098 | + | 0.540882i | \(0.818091\pi\) | |||||||
\(84\) | −2.52660 | − | 0.652231i | −0.275674 | − | 0.0711642i | ||||
\(85\) | −3.52038 | − | 1.03368i | −0.381839 | − | 0.112118i | ||||
\(86\) | −2.40156 | − | 3.05383i | −0.258967 | − | 0.329303i | ||||
\(87\) | −0.760657 | + | 0.541661i | −0.0815510 | + | 0.0580722i | ||||
\(88\) | 2.34651 | − | 2.98383i | 0.250139 | − | 0.318078i | ||||
\(89\) | −0.0713687 | + | 1.49821i | −0.00756507 | + | 0.158810i | 0.991924 | + | 0.126837i | \(0.0404824\pi\) |
−0.999489 | + | 0.0319739i | \(0.989821\pi\) | |||||||
\(90\) | 2.98925 | + | 3.44978i | 0.315094 | + | 0.363638i | ||||
\(91\) | 6.35918 | − | 1.44454i | 0.666623 | − | 0.151429i | ||||
\(92\) | 4.62829 | + | 1.25656i | 0.482532 | + | 0.131006i | ||||
\(93\) | −1.29949 | − | 2.25079i | −0.134751 | − | 0.233396i | ||||
\(94\) | −0.802672 | − | 4.16466i | −0.0827893 | − | 0.429552i | ||||
\(95\) | −7.31229 | + | 3.76975i | −0.750225 | + | 0.386768i | ||||
\(96\) | −0.366559 | − | 0.915621i | −0.0374118 | − | 0.0934502i | ||||
\(97\) | −5.95201 | + | 13.0331i | −0.604335 | + | 1.32331i | 0.322047 | + | 0.946724i | \(0.395629\pi\) |
−0.926382 | + | 0.376585i | \(0.877098\pi\) | |||||||
\(98\) | 3.09296 | − | 6.27962i | 0.312436 | − | 0.634337i | ||||
\(99\) | 2.16806 | − | 7.38374i | 0.217899 | − | 0.742094i | ||||
\(100\) | −0.0621513 | − | 0.0320412i | −0.00621513 | − | 0.00320412i | ||||
\(101\) | 0.0215796 | − | 0.225991i | 0.00214725 | − | 0.0224870i | −0.994335 | − | 0.106293i | \(-0.966102\pi\) |
0.996482 | + | 0.0838065i | \(0.0267078\pi\) | |||||||
\(102\) | 1.56180 | + | 0.378888i | 0.154641 | + | 0.0375155i | ||||
\(103\) | −2.78095 | − | 0.535984i | −0.274015 | − | 0.0528120i | 0.0503926 | − | 0.998729i | \(-0.483953\pi\) |
−0.324407 | + | 0.945917i | \(0.605165\pi\) | |||||||
\(104\) | 1.86275 | + | 1.61409i | 0.182658 | + | 0.158274i | ||||
\(105\) | 5.13078 | − | 2.86299i | 0.500712 | − | 0.279400i | ||||
\(106\) | 4.10628 | − | 1.87528i | 0.398838 | − | 0.182143i | ||||
\(107\) | −4.54093 | + | 8.80818i | −0.438989 | + | 0.851519i | 0.560735 | + | 0.827996i | \(0.310519\pi\) |
−0.999723 | + | 0.0235237i | \(0.992511\pi\) | |||||||
\(108\) | −3.42158 | − | 3.58845i | −0.329242 | − | 0.345299i | ||||
\(109\) | 5.37953 | − | 13.4374i | 0.515265 | − | 1.28707i | −0.411493 | − | 0.911413i | \(-0.634993\pi\) |
0.926758 | − | 0.375658i | \(-0.122583\pi\) | |||||||
\(110\) | 0.812462 | + | 8.50849i | 0.0774652 | + | 0.811253i | ||||
\(111\) | −1.21393 | + | 8.44309i | −0.115221 | + | 0.801383i | ||||
\(112\) | 2.60499 | − | 0.462648i | 0.246148 | − | 0.0437162i | ||||
\(113\) | −0.0228260 | + | 0.0197789i | −0.00214729 | + | 0.00186064i | −0.655934 | − | 0.754818i | \(-0.727725\pi\) |
0.653786 | + | 0.756679i | \(0.273179\pi\) | |||||||
\(114\) | 3.12074 | − | 1.80176i | 0.292284 | − | 0.168750i | ||||
\(115\) | −9.49470 | + | 5.14382i | −0.885386 | + | 0.479663i | ||||
\(116\) | 0.473404 | − | 0.819959i | 0.0439544 | − | 0.0761313i | ||||
\(117\) | 4.72196 | + | 1.63429i | 0.436545 | + | 0.151090i | ||||
\(118\) | 5.84540 | − | 9.09562i | 0.538113 | − | 0.837320i | ||||
\(119\) | −1.84811 | + | 3.89496i | −0.169416 | + | 0.357050i | ||||
\(120\) | 2.02005 | + | 0.922526i | 0.184404 | + | 0.0842147i | ||||
\(121\) | 2.67996 | − | 2.10754i | 0.243632 | − | 0.191595i | ||||
\(122\) | −9.99354 | + | 9.52882i | −0.904773 | + | 0.862699i | ||||
\(123\) | 0.182844 | + | 3.83837i | 0.0164865 | + | 0.346094i | ||||
\(124\) | 2.14654 | + | 1.52855i | 0.192765 | + | 0.137268i | ||||
\(125\) | −10.6511 | + | 3.12746i | −0.952667 | + | 0.279728i | ||||
\(126\) | 4.55414 | − | 2.83349i | 0.405715 | − | 0.252427i | ||||
\(127\) | −12.0178 | + | 13.8692i | −1.06640 | + | 1.23069i | −0.0944474 | + | 0.995530i | \(0.530108\pi\) |
−0.971956 | + | 0.235165i | \(0.924437\pi\) | |||||||
\(128\) | 0.723734 | + | 0.690079i | 0.0639697 | + | 0.0609949i | ||||
\(129\) | −3.81433 | − | 0.364224i | −0.335833 | − | 0.0320682i | ||||
\(130\) | −5.54353 | + | 0.264071i | −0.486200 | + | 0.0231605i | ||||
\(131\) | 0.190701 | − | 0.0462636i | 0.0166616 | − | 0.00404207i | −0.227419 | − | 0.973797i | \(-0.573029\pi\) |
0.244081 | + | 0.969755i | \(0.421514\pi\) | |||||||
\(132\) | −0.532805 | − | 3.70574i | −0.0463747 | − | 0.322543i | ||||
\(133\) | 3.02769 | + | 9.18036i | 0.262534 | + | 0.796039i | ||||
\(134\) | 10.5506 | + | 1.51695i | 0.911435 | + | 0.131045i | ||||
\(135\) | 11.1516 | + | 0.531215i | 0.959776 | + | 0.0457197i | ||||
\(136\) | −1.60002 | + | 0.308379i | −0.137201 | + | 0.0264433i | ||||
\(137\) | −15.8681 | − | 9.16145i | −1.35570 | − | 0.782715i | −0.366661 | − | 0.930354i | \(-0.619499\pi\) |
−0.989041 | + | 0.147639i | \(0.952833\pi\) | |||||||
\(138\) | 4.04696 | − | 2.44843i | 0.344500 | − | 0.208425i | ||||
\(139\) | 9.03003i | 0.765917i | 0.923765 | + | 0.382959i | \(0.125095\pi\) | ||||
−0.923765 | + | 0.382959i | \(0.874905\pi\) | |||||||
\(140\) | −3.52620 | + | 4.80160i | −0.298019 | + | 0.405809i | ||||
\(141\) | −3.51902 | − | 2.26154i | −0.296355 | − | 0.190456i | ||||
\(142\) | 7.24478 | − | 2.90037i | 0.607968 | − | 0.243394i | ||||
\(143\) | 5.42714 | + | 7.62135i | 0.453840 | + | 0.637329i | ||||
\(144\) | 1.88205 | + | 0.753461i | 0.156838 | + | 0.0627884i | ||||
\(145\) | 0.502609 | + | 2.07178i | 0.0417394 | + | 0.172052i | ||||
\(146\) | −1.17741 | − | 1.83209i | −0.0974433 | − | 0.151625i | ||||
\(147\) | −2.37729 | − | 6.48168i | −0.196076 | − | 0.534600i | ||||
\(148\) | −2.43661 | − | 8.29833i | −0.200288 | − | 0.682119i | ||||
\(149\) | −1.36238 | + | 7.06871i | −0.111611 | + | 0.579091i | 0.882463 | + | 0.470382i | \(0.155884\pi\) |
−0.994074 | + | 0.108709i | \(0.965328\pi\) | |||||||
\(150\) | −0.0651713 | + | 0.0225560i | −0.00532122 | + | 0.00184169i | ||||
\(151\) | 4.20117 | − | 17.3174i | 0.341886 | − | 1.40927i | −0.498314 | − | 0.866997i | \(-0.666047\pi\) |
0.840200 | − | 0.542277i | \(-0.182438\pi\) | |||||||
\(152\) | −2.11935 | + | 2.97621i | −0.171902 | + | 0.241402i | ||||
\(153\) | −2.77898 | + | 1.78594i | −0.224667 | + | 0.144385i | ||||
\(154\) | 10.0238 | + | 0.624596i | 0.807737 | + | 0.0503314i | ||||
\(155\) | −5.87308 | + | 0.844421i | −0.471737 | + | 0.0678255i | ||||
\(156\) | 2.41993 | − | 0.231075i | 0.193749 | − | 0.0185008i | ||||
\(157\) | 14.6949 | + | 11.5562i | 1.17278 | + | 0.922288i | 0.998056 | − | 0.0623290i | \(-0.0198528\pi\) |
0.174729 | + | 0.984617i | \(0.444095\pi\) | |||||||
\(158\) | 4.63041 | + | 8.98174i | 0.368376 | + | 0.714549i | ||||
\(159\) | 1.45619 | − | 4.20737i | 0.115483 | − | 0.333666i | ||||
\(160\) | −2.25165 | −0.178009 | ||||||||
\(161\) | 4.22024 | + | 11.9662i | 0.332602 | + | 0.943067i | ||||
\(162\) | 1.19165 | 0.0936249 | ||||||||
\(163\) | −2.86961 | + | 8.29119i | −0.224765 | + | 0.649416i | 0.775081 | + | 0.631862i | \(0.217709\pi\) |
−0.999846 | + | 0.0175538i | \(0.994412\pi\) | |||||||
\(164\) | −1.78535 | − | 3.46310i | −0.139413 | − | 0.270423i | ||||
\(165\) | 6.62630 | + | 5.21098i | 0.515857 | + | 0.405674i | ||||
\(166\) | −2.58651 | + | 0.246981i | −0.200752 | + | 0.0191695i | ||||
\(167\) | 23.0048 | − | 3.30759i | 1.78016 | − | 0.255949i | 0.827825 | − | 0.560987i | \(-0.189578\pi\) |
0.952340 | + | 0.305038i | \(0.0986691\pi\) | |||||||
\(168\) | 1.44273 | − | 2.17431i | 0.111309 | − | 0.167752i | ||||
\(169\) | 5.82557 | − | 3.74387i | 0.448121 | − | 0.287990i | ||||
\(170\) | 2.12823 | − | 2.98868i | 0.163228 | − | 0.229221i | ||||
\(171\) | −1.74627 | + | 7.19823i | −0.133541 | + | 0.550462i | ||||
\(172\) | 3.67135 | − | 1.27067i | 0.279938 | − | 0.0968874i | ||||
\(173\) | 1.39105 | − | 7.21746i | 0.105760 | − | 0.548734i | −0.889939 | − | 0.456080i | \(-0.849253\pi\) |
0.995698 | − | 0.0926535i | \(-0.0295349\pi\) | |||||||
\(174\) | −0.263084 | − | 0.895982i | −0.0199443 | − | 0.0679242i | ||||
\(175\) | −0.0236466 | − | 0.183485i | −0.00178752 | − | 0.0138702i | ||||
\(176\) | 2.05226 | + | 3.19337i | 0.154695 | + | 0.240710i | ||||
\(177\) | −2.51402 | − | 10.3629i | −0.188966 | − | 0.778927i | ||||
\(178\) | −1.39247 | − | 0.557461i | −0.104370 | − | 0.0417835i | ||||
\(179\) | −12.0658 | − | 16.9440i | −0.901837 | − | 1.26645i | −0.963323 | − | 0.268345i | \(-0.913523\pi\) |
0.0614860 | − | 0.998108i | \(-0.480416\pi\) | |||||||
\(180\) | −4.23773 | + | 1.69653i | −0.315862 | + | 0.126452i | ||||
\(181\) | 22.3119 | + | 14.3390i | 1.65843 | + | 1.06581i | 0.920354 | + | 0.391086i | \(0.127901\pi\) |
0.738073 | + | 0.674720i | \(0.235736\pi\) | |||||||
\(182\) | −0.714790 | + | 6.48189i | −0.0529837 | + | 0.480470i | ||||
\(183\) | 13.6187i | 1.00672i | ||||||||
\(184\) | −2.70122 | + | 3.96275i | −0.199136 | + | 0.292138i | ||||
\(185\) | 16.8648 | + | 9.73688i | 1.23992 | + | 0.715869i | ||||
\(186\) | 2.55202 | − | 0.491861i | 0.187123 | − | 0.0360650i | ||||
\(187\) | −6.17842 | − | 0.294314i | −0.451811 | − | 0.0215224i | ||||
\(188\) | 4.19813 | + | 0.603601i | 0.306180 | + | 0.0440221i | ||||
\(189\) | 2.67085 | − | 12.8435i | 0.194276 | − | 0.934228i | ||||
\(190\) | −1.17080 | − | 8.14308i | −0.0849387 | − | 0.590761i | ||||
\(191\) | −20.3034 | + | 4.92554i | −1.46910 | + | 0.356400i | −0.888910 | − | 0.458082i | \(-0.848537\pi\) |
−0.580190 | + | 0.814481i | \(0.697022\pi\) | |||||||
\(192\) | 0.985152 | − | 0.0469286i | 0.0710973 | − | 0.00338678i | ||||
\(193\) | 11.0644 | + | 1.05652i | 0.796435 | + | 0.0760503i | 0.485337 | − | 0.874327i | \(-0.338697\pi\) |
0.311098 | + | 0.950378i | \(0.399303\pi\) | |||||||
\(194\) | −10.3696 | − | 9.88735i | −0.744491 | − | 0.709871i | ||||
\(195\) | −3.58445 | + | 4.13668i | −0.256688 | + | 0.296234i | ||||
\(196\) | 4.92264 | + | 4.97671i | 0.351617 | + | 0.355479i | ||||
\(197\) | 4.57550 | − | 1.34349i | 0.325991 | − | 0.0957196i | −0.114642 | − | 0.993407i | \(-0.536572\pi\) |
0.440633 | + | 0.897687i | \(0.354754\pi\) | |||||||
\(198\) | 6.26854 | + | 4.46381i | 0.445486 | + | 0.317229i | ||||
\(199\) | 0.558860 | + | 11.7319i | 0.0396165 | + | 0.831653i | 0.928007 | + | 0.372564i | \(0.121521\pi\) |
−0.888390 | + | 0.459089i | \(0.848176\pi\) | |||||||
\(200\) | 0.0506067 | − | 0.0482534i | 0.00357843 | − | 0.00341203i | ||||
\(201\) | 8.26359 | − | 6.49856i | 0.582868 | − | 0.458373i | ||||
\(202\) | 0.206504 | + | 0.0943072i | 0.0145296 | + | 0.00663543i | ||||
\(203\) | 2.49689 | − | 0.201607i | 0.175247 | − | 0.0141501i | ||||
\(204\) | −0.868863 | + | 1.35198i | −0.0608326 | + | 0.0946573i | ||||
\(205\) | 8.29042 | + | 2.86934i | 0.579028 | + | 0.200404i | ||||
\(206\) | 1.41606 | − | 2.45269i | 0.0986618 | − | 0.170887i | ||||
\(207\) | −2.09806 | + | 9.49338i | −0.145825 | + | 0.659836i | ||||
\(208\) | −2.13456 | + | 1.23239i | −0.148005 | + | 0.0854508i | ||||
\(209\) | −10.4817 | + | 9.08245i | −0.725035 | + | 0.628246i | ||||
\(210\) | 1.02742 | + | 5.78498i | 0.0708986 | + | 0.399202i | ||||
\(211\) | −0.186999 | + | 1.30061i | −0.0128736 | + | 0.0895376i | −0.995245 | − | 0.0974004i | \(-0.968947\pi\) |
0.982372 | + | 0.186938i | \(0.0598563\pi\) | |||||||
\(212\) | 0.429105 | + | 4.49379i | 0.0294710 | + | 0.308634i | ||||
\(213\) | 2.86055 | − | 7.14531i | 0.196002 | − | 0.489588i | ||||
\(214\) | −6.83855 | − | 7.17206i | −0.467473 | − | 0.490272i | ||||
\(215\) | −4.00843 | + | 7.77527i | −0.273373 | + | 0.530269i | ||||
\(216\) | 4.51018 | − | 2.05973i | 0.306879 | − | 0.140147i | ||||
\(217\) | −0.102005 | + | 6.97125i | −0.00692458 | + | 0.473239i | ||||
\(218\) | 10.9389 | + | 9.47861i | 0.740875 | + | 0.641972i | ||||
\(219\) | −2.10909 | − | 0.406494i | −0.142519 | − | 0.0274683i | ||||
\(220\) | −8.30626 | − | 2.01508i | −0.560008 | − | 0.135856i | ||||
\(221\) | 0.381772 | − | 3.99810i | 0.0256808 | − | 0.268941i | ||||
\(222\) | −7.58169 | − | 3.90863i | −0.508850 | − | 0.262330i | ||||
\(223\) | 3.19333 | − | 10.8755i | 0.213841 | − | 0.728276i | −0.780790 | − | 0.624793i | \(-0.785183\pi\) |
0.994631 | − | 0.103482i | \(-0.0329986\pi\) | |||||||
\(224\) | −0.414805 | + | 2.61303i | −0.0277153 | + | 0.174591i | ||||
\(225\) | 0.0588875 | − | 0.128946i | 0.00392583 | − | 0.00859637i | ||||
\(226\) | −0.0112254 | − | 0.0280397i | −0.000746702 | − | 0.00186517i | ||||
\(227\) | −19.6097 | + | 10.1095i | −1.30154 | + | 0.670992i | −0.962884 | − | 0.269916i | \(-0.913004\pi\) |
−0.338660 | + | 0.940909i | \(0.609974\pi\) | |||||||
\(228\) | 0.681971 | + | 3.53840i | 0.0451646 | + | 0.234336i | ||||
\(229\) | −10.6403 | − | 18.4296i | −0.703133 | − | 1.21786i | −0.967361 | − | 0.253402i | \(-0.918450\pi\) |
0.264228 | − | 0.964460i | \(-0.414883\pi\) | |||||||
\(230\) | −1.75550 | − | 10.6549i | −0.115754 | − | 0.702562i | ||||
\(231\) | 7.26804 | − | 6.72982i | 0.478202 | − | 0.442790i | ||||
\(232\) | 0.620027 | + | 0.715549i | 0.0407068 | + | 0.0469781i | ||||
\(233\) | 0.300444 | − | 6.30710i | 0.0196828 | − | 0.413192i | −0.967427 | − | 0.253149i | \(-0.918534\pi\) |
0.987110 | − | 0.160043i | \(-0.0511632\pi\) | |||||||
\(234\) | −3.08880 | + | 3.92773i | −0.201921 | + | 0.256764i | ||||
\(235\) | −7.77914 | + | 5.53950i | −0.507455 | + | 0.361357i | ||||
\(236\) | 6.68353 | + | 8.49879i | 0.435060 | + | 0.553224i | ||||
\(237\) | 9.56261 | + | 2.80784i | 0.621159 | + | 0.182389i | ||||
\(238\) | −3.07628 | − | 3.02038i | −0.199406 | − | 0.195782i | ||||
\(239\) | −6.26561 | − | 13.7198i | −0.405288 | − | 0.887458i | −0.996707 | − | 0.0810926i | \(-0.974159\pi\) |
0.591418 | − | 0.806365i | \(-0.298568\pi\) | |||||||
\(240\) | −1.53248 | + | 1.60722i | −0.0989212 | + | 0.103746i | ||||
\(241\) | −3.42288 | − | 9.88977i | −0.220487 | − | 0.637056i | −0.999944 | − | 0.0105999i | \(-0.996626\pi\) |
0.779457 | − | 0.626456i | \(-0.215495\pi\) | |||||||
\(242\) | 1.11510 | + | 3.22187i | 0.0716814 | + | 0.207110i | ||||
\(243\) | 11.0758 | − | 11.6159i | 0.710512 | − | 0.745164i | ||||
\(244\) | −5.73618 | − | 12.5605i | −0.367221 | − | 0.804102i | ||||
\(245\) | −15.7548 | − | 0.461157i | −1.00654 | − | 0.0294622i | ||||
\(246\) | −3.68707 | − | 1.08262i | −0.235079 | − | 0.0690253i | ||||
\(247\) | −5.56685 | − | 7.07882i | −0.354210 | − | 0.450415i | ||||
\(248\) | −2.14654 | + | 1.52855i | −0.136306 | + | 0.0970628i | ||||
\(249\) | −1.58409 | + | 2.01434i | −0.100388 | + | 0.127653i | ||||
\(250\) | 0.528197 | − | 11.0882i | 0.0334061 | − | 0.701281i | ||||
\(251\) | −7.70848 | − | 8.89606i | −0.486555 | − | 0.561514i | 0.458387 | − | 0.888753i | \(-0.348427\pi\) |
−0.944942 | + | 0.327239i | \(0.893882\pi\) | |||||||
\(252\) | 1.18813 | + | 5.23041i | 0.0748453 | + | 0.329485i | ||||
\(253\) | −13.5111 | + | 12.2011i | −0.849436 | + | 0.767074i | ||||
\(254\) | −9.17581 | − | 15.8930i | −0.575741 | − | 0.997213i | ||||
\(255\) | −0.684828 | − | 3.55323i | −0.0428856 | − | 0.222512i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | −4.51997 | − | 11.2903i | −0.281948 | − | 0.704271i | −0.999966 | − | 0.00824714i | \(-0.997375\pi\) |
0.718018 | − | 0.696024i | \(-0.245049\pi\) | |||||||
\(258\) | 1.59174 | − | 3.48542i | 0.0990972 | − | 0.216993i | ||||
\(259\) | 14.4065 | − | 17.7778i | 0.895176 | − | 1.10466i | ||||
\(260\) | 1.56356 | − | 5.32501i | 0.0969681 | − | 0.330243i | ||||
\(261\) | 1.70606 | + | 0.879537i | 0.105603 | + | 0.0544420i | ||||
\(262\) | −0.0186531 | + | 0.195344i | −0.00115239 | + | 0.0120684i | ||||
\(263\) | 22.0909 | + | 5.35920i | 1.36219 | + | 0.330463i | 0.849262 | − | 0.527972i | \(-0.177047\pi\) |
0.512924 | + | 0.858434i | \(0.328562\pi\) | |||||||
\(264\) | 3.67619 | + | 0.708528i | 0.226254 | + | 0.0436069i | ||||
\(265\) | −7.68178 | − | 6.65630i | −0.471888 | − | 0.408893i | ||||
\(266\) | −9.66571 | − | 0.141432i | −0.592643 | − | 0.00867173i | ||||
\(267\) | −1.34564 | + | 0.614531i | −0.0823515 | + | 0.0376087i | ||||
\(268\) | −4.88429 | + | 9.47420i | −0.298355 | + | 0.578729i | ||||
\(269\) | −17.4660 | − | 18.3178i | −1.06492 | − | 1.11686i | −0.992839 | − | 0.119459i | \(-0.961884\pi\) |
−0.0720826 | − | 0.997399i | \(-0.522965\pi\) | |||||||
\(270\) | −4.14933 | + | 10.3645i | −0.252520 | + | 0.630764i | ||||
\(271\) | 1.80971 | + | 18.9521i | 0.109932 | + | 1.15126i | 0.867133 | + | 0.498077i | \(0.165960\pi\) |
−0.757201 | + | 0.653182i | \(0.773433\pi\) | |||||||
\(272\) | 0.231898 | − | 1.61289i | 0.0140609 | − | 0.0977956i | ||||
\(273\) | 4.14027 | + | 4.92182i | 0.250580 | + | 0.297882i | ||||
\(274\) | 13.8475 | − | 11.9989i | 0.836559 | − | 0.724883i | ||||
\(275\) | 0.229870 | − | 0.132715i | 0.0138617 | − | 0.00800304i | ||||
\(276\) | 0.990141 | + | 4.62519i | 0.0595995 | + | 0.278404i | ||||
\(277\) | −7.86681 | + | 13.6257i | −0.472671 | + | 0.818690i | −0.999511 | − | 0.0312744i | \(-0.990043\pi\) |
0.526840 | + | 0.849965i | \(0.323377\pi\) | |||||||
\(278\) | −8.53339 | − | 2.95343i | −0.511799 | − | 0.177135i | ||||
\(279\) | −2.88821 | + | 4.49415i | −0.172913 | + | 0.269057i | ||||
\(280\) | −3.38421 | − | 4.90271i | −0.202245 | − | 0.292993i | ||||
\(281\) | 12.8886 | + | 5.88602i | 0.768868 | + | 0.351130i | 0.760926 | − | 0.648838i | \(-0.224745\pi\) |
0.00794174 | + | 0.999968i | \(0.497472\pi\) | |||||||
\(282\) | 3.28812 | − | 2.58580i | 0.195804 | − | 0.153982i | ||||
\(283\) | −0.503839 | + | 0.480410i | −0.0299501 | + | 0.0285574i | −0.704906 | − | 0.709300i | \(-0.749011\pi\) |
0.674956 | + | 0.737858i | \(0.264163\pi\) | |||||||
\(284\) | 0.371319 | + | 7.79494i | 0.0220337 | + | 0.462545i | ||||
\(285\) | −6.60936 | − | 4.70650i | −0.391505 | − | 0.278789i | ||||
\(286\) | −8.97723 | + | 2.63595i | −0.530835 | + | 0.155867i | ||||
\(287\) | 4.85714 | − | 9.09241i | 0.286708 | − | 0.536708i | ||||
\(288\) | −1.32758 | + | 1.53211i | −0.0782285 | + | 0.0902805i | ||||
\(289\) | −10.3818 | − | 9.89906i | −0.610696 | − | 0.582298i | ||||
\(290\) | −2.12223 | − | 0.202648i | −0.124621 | − | 0.0118999i | ||||
\(291\) | −14.1151 | + | 0.672386i | −0.827443 | + | 0.0394160i | ||||
\(292\) | 2.11642 | − | 0.513438i | 0.123854 | − | 0.0300467i | ||||
\(293\) | −2.25599 | − | 15.6908i | −0.131796 | − | 0.916664i | −0.943211 | − | 0.332194i | \(-0.892211\pi\) |
0.811415 | − | 0.584471i | \(-0.198698\pi\) | |||||||
\(294\) | 6.90273 | − | 0.126592i | 0.402575 | − | 0.00738300i | ||||
\(295\) | −24.0970 | − | 3.46463i | −1.40298 | − | 0.201718i | ||||
\(296\) | 8.63887 | + | 0.411520i | 0.502124 | + | 0.0239191i | ||||
\(297\) | 18.4812 | − | 3.56196i | 1.07239 | − | 0.206686i | ||||
\(298\) | −6.23435 | − | 3.59940i | −0.361146 | − | 0.208508i | ||||
\(299\) | −7.49591 | − | 9.13998i | −0.433500 | − | 0.528579i | ||||
\(300\) | − | 0.0689643i | − | 0.00398166i | ||||||
\(301\) | 8.28474 | + | 6.08416i | 0.477524 | + | 0.350685i | ||||
\(302\) | 14.9909 | + | 9.63409i | 0.862631 | + | 0.554380i | ||||
\(303\) | 0.207864 | − | 0.0832161i | 0.0119415 | − | 0.00478064i | ||||
\(304\) | −2.11935 | − | 2.97621i | −0.121553 | − | 0.170697i | ||||
\(305\) | 28.8643 | + | 11.5555i | 1.65277 | + | 0.661668i | ||||
\(306\) | −0.778802 | − | 3.21027i | −0.0445211 | − | 0.183519i | ||||
\(307\) | 13.0399 | + | 20.2905i | 0.744228 | + | 1.15804i | 0.982395 | + | 0.186817i | \(0.0598172\pi\) |
−0.238167 | + | 0.971224i | \(0.576546\pi\) | |||||||
\(308\) | −3.86869 | + | 9.26817i | −0.220439 | + | 0.528103i | ||||
\(309\) | −0.786947 | − | 2.68009i | −0.0447678 | − | 0.152465i | ||||
\(310\) | 1.12292 | − | 5.82625i | 0.0637774 | − | 0.330909i | ||||
\(311\) | 28.0783 | − | 9.71801i | 1.59218 | − | 0.551058i | 0.619857 | − | 0.784714i | \(-0.287190\pi\) |
0.972319 | + | 0.233657i | \(0.0750692\pi\) | |||||||
\(312\) | −0.573115 | + | 2.36241i | −0.0324462 | + | 0.133745i | ||||
\(313\) | −4.47773 | + | 6.28810i | −0.253097 | + | 0.355424i | −0.921503 | − | 0.388372i | \(-0.873037\pi\) |
0.668406 | + | 0.743797i | \(0.266977\pi\) | |||||||
\(314\) | −15.7269 | + | 10.1071i | −0.887520 | + | 0.570374i | ||||
\(315\) | −10.0633 | − | 6.67731i | −0.567001 | − | 0.376224i | ||||
\(316\) | −10.0022 | + | 1.43810i | −0.562668 | + | 0.0808995i | ||||
\(317\) | 17.6728 | − | 1.68755i | 0.992604 | − | 0.0947822i | 0.413902 | − | 0.910321i | \(-0.364166\pi\) |
0.578702 | + | 0.815539i | \(0.303560\pi\) | |||||||
\(318\) | 3.49970 | + | 2.75219i | 0.196253 | + | 0.154335i | ||||
\(319\) | 1.64689 | + | 3.19452i | 0.0922081 | + | 0.178859i | ||||
\(320\) | 0.736442 | − | 2.12781i | 0.0411684 | − | 0.118948i | ||||
\(321\) | −9.77374 | −0.545517 | ||||||||
\(322\) | −12.6884 | + | 0.0743789i | −0.707095 | + | 0.00414497i | ||||
\(323\) | 5.95358 | 0.331266 | ||||||||
\(324\) | −0.389751 | + | 1.12611i | −0.0216528 | + | 0.0625617i | ||||
\(325\) | 0.0789744 | + | 0.153189i | 0.00438071 | + | 0.00849740i | ||||
\(326\) | −6.89662 | − | 5.42356i | −0.381969 | − | 0.300383i | ||||
\(327\) | 14.2109 | − | 1.35697i | 0.785862 | − | 0.0750407i | ||||
\(328\) | 3.85656 | − | 0.554490i | 0.212943 | − | 0.0306166i | ||||
\(329\) | 4.99548 | + | 10.0482i | 0.275410 | + | 0.553974i | ||||
\(330\) | −7.09163 | + | 4.55751i | −0.390381 | + | 0.250883i | ||||
\(331\) | 17.8433 | − | 25.0574i | 0.980755 | − | 1.37728i | 0.0552784 | − | 0.998471i | \(-0.482395\pi\) |
0.925476 | − | 0.378806i | \(-0.123665\pi\) | |||||||
\(332\) | 0.612566 | − | 2.52503i | 0.0336189 | − | 0.138579i | ||||
\(333\) | 16.5689 | − | 5.73455i | 0.907969 | − | 0.314251i | ||||
\(334\) | −4.39846 | + | 22.8214i | −0.240673 | + | 1.24873i | ||||
\(335\) | −6.76175 | − | 23.0284i | −0.369434 | − | 1.25818i | ||||
\(336\) | 1.58286 | + | 2.07453i | 0.0863519 | + | 0.113175i | ||||
\(337\) | −3.21288 | − | 4.99934i | −0.175017 | − | 0.272331i | 0.742652 | − | 0.669677i | \(-0.233568\pi\) |
−0.917669 | + | 0.397346i | \(0.869931\pi\) | |||||||
\(338\) | 1.63260 | + | 6.72967i | 0.0888018 | + | 0.366046i | ||||
\(339\) | −0.0276547 | − | 0.0110713i | −0.00150200 | − | 0.000601308i | ||||
\(340\) | 2.12823 | + | 2.98868i | 0.115419 | + | 0.162084i | ||||
\(341\) | −9.28648 | + | 3.71774i | −0.502891 | + | 0.201327i | ||||
\(342\) | −6.23118 | − | 4.00454i | −0.336944 | − | 0.216541i | ||||
\(343\) | −3.43756 | + | 18.1984i | −0.185611 | + | 0.982623i | ||||
\(344\) | 3.88502i | 0.209466i | ||||||||
\(345\) | −8.80022 | − | 5.99869i | −0.473788 | − | 0.322958i | ||||
\(346\) | 6.36554 | + | 3.67515i | 0.342214 | + | 0.197577i | ||||
\(347\) | −5.43520 | + | 1.04755i | −0.291777 | + | 0.0562353i | −0.333039 | − | 0.942913i | \(-0.608074\pi\) |
0.0412625 | + | 0.999148i | \(0.486862\pi\) | |||||||
\(348\) | 0.932750 | + | 0.0444323i | 0.0500006 | + | 0.00238182i | ||||
\(349\) | −25.7175 | − | 3.69762i | −1.37663 | − | 0.197929i | −0.586042 | − | 0.810281i | \(-0.699314\pi\) |
−0.790585 | + | 0.612352i | \(0.790224\pi\) | |||||||
\(350\) | 0.181128 | + | 0.0376660i | 0.00968168 | + | 0.00201333i | ||||
\(351\) | 1.73923 | + | 12.0966i | 0.0928330 | + | 0.645668i | ||||
\(352\) | −3.68897 | + | 0.894934i | −0.196623 | + | 0.0477001i | ||||
\(353\) | −11.8334 | + | 0.563695i | −0.629829 | + | 0.0300025i | −0.360070 | − | 0.932925i | \(-0.617247\pi\) |
−0.269759 | + | 0.962928i | \(0.586944\pi\) | |||||||
\(354\) | 10.6152 | + | 1.01363i | 0.564194 | + | 0.0538740i | ||||
\(355\) | −12.7170 | − | 12.1256i | −0.674949 | − | 0.643562i | ||||
\(356\) | 0.982234 | − | 1.13356i | 0.0520583 | − | 0.0600785i | ||||
\(357\) | −4.24967 | + | 0.140157i | −0.224916 | + | 0.00741787i | ||||
\(358\) | 19.9584 | − | 5.86031i | 1.05483 | − | 0.309727i | ||||
\(359\) | 6.75546 | + | 4.81054i | 0.356539 | + | 0.253891i | 0.744265 | − | 0.667884i | \(-0.232800\pi\) |
−0.387726 | + | 0.921775i | \(0.626739\pi\) | |||||||
\(360\) | −0.217197 | − | 4.55954i | −0.0114473 | − | 0.240309i | ||||
\(361\) | −4.08951 | + | 3.89934i | −0.215237 | + | 0.205228i | ||||
\(362\) | −20.8478 | + | 16.3949i | −1.09574 | + | 0.861697i | ||||
\(363\) | 3.05870 | + | 1.39686i | 0.160540 | + | 0.0733163i | ||||
\(364\) | −5.89161 | − | 2.79550i | −0.308804 | − | 0.146524i | ||||
\(365\) | −2.65112 | + | 4.12522i | −0.138766 | + | 0.215924i | ||||
\(366\) | −12.8697 | − | 4.45425i | −0.672710 | − | 0.232827i | ||||
\(367\) | −3.71468 | + | 6.43402i | −0.193905 | + | 0.335853i | −0.946541 | − | 0.322584i | \(-0.895449\pi\) |
0.752636 | + | 0.658437i | \(0.228782\pi\) | |||||||
\(368\) | −2.86132 | − | 3.84874i | −0.149157 | − | 0.200630i | ||||
\(369\) | 6.84047 | − | 3.94935i | 0.356101 | − | 0.205595i | ||||
\(370\) | −14.7173 | + | 12.7526i | −0.765115 | + | 0.662976i | ||||
\(371\) | −9.13978 | + | 7.68844i | −0.474514 | + | 0.399164i | ||||
\(372\) | −0.369874 | + | 2.57253i | −0.0191771 | + | 0.133379i | ||||
\(373\) | −1.00511 | − | 10.5260i | −0.0520427 | − | 0.545016i | −0.983468 | − | 0.181083i | \(-0.942040\pi\) |
0.931425 | − | 0.363933i | \(-0.118566\pi\) | |||||||
\(374\) | 2.29889 | − | 5.74235i | 0.118873 | − | 0.296930i | ||||
\(375\) | −7.55525 | − | 7.92372i | −0.390151 | − | 0.409179i | ||||
\(376\) | −1.94348 | + | 3.76982i | −0.100227 | + | 0.194414i | ||||
\(377\) | −2.12278 | + | 0.969441i | −0.109329 | + | 0.0499288i | ||||
\(378\) | 11.2636 | + | 6.72466i | 0.579336 | + | 0.345879i | ||||
\(379\) | −21.6906 | − | 18.7951i | −1.11417 | − | 0.965437i | −0.114565 | − | 0.993416i | \(-0.536548\pi\) |
−0.999609 | + | 0.0279786i | \(0.991093\pi\) | |||||||
\(380\) | 8.07815 | + | 1.55694i | 0.414400 | + | 0.0798691i | ||||
\(381\) | −17.5894 | − | 4.26715i | −0.901134 | − | 0.218613i | ||||
\(382\) | 1.98594 | − | 20.7977i | 0.101609 | − | 1.06410i | ||||
\(383\) | 26.7796 | + | 13.8059i | 1.36838 | + | 0.705447i | 0.976690 | − | 0.214653i | \(-0.0688620\pi\) |
0.391685 | + | 0.920099i | \(0.371892\pi\) | |||||||
\(384\) | −0.277864 | + | 0.946319i | −0.0141797 | + | 0.0482916i | ||||
\(385\) | −8.09662 | − | 21.1146i | −0.412642 | − | 1.07610i | ||||
\(386\) | −4.61724 | + | 10.1103i | −0.235011 | + | 0.514603i | ||||
\(387\) | 2.92721 | + | 7.31183i | 0.148799 | + | 0.371681i | ||||
\(388\) | 12.7351 | − | 6.56540i | 0.646527 | − | 0.333308i | ||||
\(389\) | 7.06482 | + | 36.6558i | 0.358201 | + | 1.85852i | 0.496366 | + | 0.868113i | \(0.334667\pi\) |
−0.138165 | + | 0.990409i | \(0.544121\pi\) | |||||||
\(390\) | −2.73681 | − | 4.74029i | −0.138584 | − | 0.240034i | ||||
\(391\) | 7.81303 | − | 0.160136i | 0.395122 | − | 0.00809843i | ||||
\(392\) | −6.31303 | + | 3.02417i | −0.318856 | + | 0.152744i | ||||
\(393\) | 0.126741 | + | 0.146266i | 0.00639321 | + | 0.00737816i | ||||
\(394\) | −0.226902 | + | 4.76327i | −0.0114312 | + | 0.239970i | ||||
\(395\) | 14.0650 | − | 17.8851i | 0.707688 | − | 0.899898i | ||||
\(396\) | −6.26854 | + | 4.46381i | −0.315006 | + | 0.224315i | ||||
\(397\) | −0.716272 | − | 0.910813i | −0.0359486 | − | 0.0457124i | 0.767746 | − | 0.640754i | \(-0.221378\pi\) |
−0.803695 | + | 0.595041i | \(0.797136\pi\) | |||||||
\(398\) | −11.2695 | − | 3.30901i | −0.564887 | − | 0.165866i | ||||
\(399\) | −6.67947 | + | 6.80310i | −0.334392 | + | 0.340581i | ||||
\(400\) | 0.0290476 | + | 0.0636055i | 0.00145238 | + | 0.00318027i | ||||
\(401\) | 14.6292 | − | 15.3427i | 0.730548 | − | 0.766176i | −0.248757 | − | 0.968566i | \(-0.580022\pi\) |
0.979305 | + | 0.202389i | \(0.0648707\pi\) | |||||||
\(402\) | 3.43839 | + | 9.93457i | 0.171491 | + | 0.495491i | ||||
\(403\) | −2.12434 | − | 6.13787i | −0.105821 | − | 0.305749i | ||||
\(404\) | −0.156661 | + | 0.164302i | −0.00779419 | + | 0.00817431i | ||||
\(405\) | −1.11463 | − | 2.44071i | −0.0553866 | − | 0.121280i | ||||
\(406\) | −0.626134 | + | 2.42550i | −0.0310745 | + | 0.120376i | ||||
\(407\) | 31.5002 | + | 9.24930i | 1.56141 | + | 0.458471i | ||||
\(408\) | −0.993442 | − | 1.26326i | −0.0491827 | − | 0.0625409i | ||||
\(409\) | 10.2220 | − | 7.27902i | 0.505443 | − | 0.359924i | −0.298713 | − | 0.954343i | \(-0.596557\pi\) |
0.804156 | + | 0.594419i | \(0.202618\pi\) | |||||||
\(410\) | −5.42306 | + | 6.89598i | −0.267826 | + | 0.340568i | ||||
\(411\) | 0.859868 | − | 18.0508i | 0.0424141 | − | 0.890383i | ||||
\(412\) | 1.85465 | + | 2.14038i | 0.0913720 | + | 0.105449i | ||||
\(413\) | −8.45990 | + | 27.3262i | −0.416284 | + | 1.34464i | ||||
\(414\) | −8.28505 | − | 5.08765i | −0.407188 | − | 0.250044i | ||||
\(415\) | 2.92520 | + | 5.06659i | 0.143592 | + | 0.248709i | ||||
\(416\) | −0.466462 | − | 2.42024i | −0.0228702 | − | 0.118662i | ||||
\(417\) | −7.91601 | + | 4.08099i | −0.387649 | + | 0.199847i | ||||
\(418\) | −5.15469 | − | 12.8758i | −0.252124 | − | 0.629776i | ||||
\(419\) | −0.356199 | + | 0.779967i | −0.0174015 | + | 0.0381039i | −0.918133 | − | 0.396272i | \(-0.870304\pi\) |
0.900732 | + | 0.434376i | \(0.143031\pi\) | |||||||
\(420\) | −5.80285 | − | 0.921170i | −0.283150 | − | 0.0449485i | ||||
\(421\) | −8.78903 | + | 29.9327i | −0.428351 | + | 1.45883i | 0.409186 | + | 0.912451i | \(0.365813\pi\) |
−0.837538 | + | 0.546380i | \(0.816006\pi\) | |||||||
\(422\) | −1.16791 | − | 0.602102i | −0.0568532 | − | 0.0293099i | ||||
\(423\) | −0.817319 | + | 8.55935i | −0.0397394 | + | 0.416170i | ||||
\(424\) | −4.38698 | − | 1.06427i | −0.213050 | − | 0.0516855i | ||||
\(425\) | −0.111881 | − | 0.0215632i | −0.00542701 | − | 0.00104597i | ||||
\(426\) | 5.81673 | + | 5.04022i | 0.281821 | + | 0.244200i | ||||
\(427\) | 18.7276 | − | 31.3682i | 0.906293 | − | 1.51801i | ||||
\(428\) | 9.01427 | − | 4.11668i | 0.435721 | − | 0.198987i | ||||
\(429\) | −4.22840 | + | 8.20195i | −0.204149 | + | 0.395994i | ||||
\(430\) | −6.03661 | − | 6.33102i | −0.291111 | − | 0.305309i | ||||
\(431\) | 3.11632 | − | 7.78419i | 0.150108 | − | 0.374951i | −0.834188 | − | 0.551481i | \(-0.814063\pi\) |
0.984295 | + | 0.176530i | \(0.0564872\pi\) | |||||||
\(432\) | 0.471311 | + | 4.93579i | 0.0226760 | + | 0.237474i | ||||
\(433\) | −4.19587 | + | 29.1829i | −0.201641 | + | 1.40244i | 0.597776 | + | 0.801663i | \(0.296051\pi\) |
−0.799416 | + | 0.600777i | \(0.794858\pi\) | |||||||
\(434\) | −6.55447 | − | 2.37647i | −0.314625 | − | 0.114074i | ||||
\(435\) | −1.58904 | + | 1.37691i | −0.0761888 | + | 0.0660180i | ||||
\(436\) | −12.5351 | + | 7.23712i | −0.600320 | + | 0.346595i | ||||
\(437\) | 12.4312 | − | 12.3492i | 0.594663 | − | 0.590743i | ||||
\(438\) | 1.07395 | − | 1.86014i | 0.0513155 | − | 0.0888810i | ||||
\(439\) | 8.69858 | + | 3.01061i | 0.415160 | + | 0.143688i | 0.526660 | − | 0.850076i | \(-0.323444\pi\) |
−0.111500 | + | 0.993764i | \(0.535565\pi\) | |||||||
\(440\) | 4.62096 | − | 7.19036i | 0.220296 | − | 0.342787i | ||||
\(441\) | −9.60288 | + | 10.4483i | −0.457280 | + | 0.497537i | ||||
\(442\) | 3.65334 | + | 1.66842i | 0.173772 | + | 0.0793589i | ||||
\(443\) | 4.86856 | − | 3.82868i | 0.231312 | − | 0.181906i | −0.495775 | − | 0.868451i | \(-0.665116\pi\) |
0.727087 | + | 0.686545i | \(0.240873\pi\) | |||||||
\(444\) | 6.17339 | − | 5.88631i | 0.292976 | − | 0.279352i | ||||
\(445\) | 0.160697 | + | 3.37345i | 0.00761778 | + | 0.159917i | ||||
\(446\) | 9.23290 | + | 6.57472i | 0.437190 | + | 0.311322i | ||||
\(447\) | −6.81236 | + | 2.00029i | −0.322214 | + | 0.0946105i | ||||
\(448\) | −2.33365 | − | 1.24663i | −0.110255 | − | 0.0588977i | ||||
\(449\) | 19.6199 | − | 22.6426i | 0.925921 | − | 1.06857i | −0.0715463 | − | 0.997437i | \(-0.522793\pi\) |
0.997467 | − | 0.0711321i | \(-0.0226612\pi\) | |||||||
\(450\) | 0.102593 | + | 0.0978227i | 0.00483630 | + | 0.00461141i | ||||
\(451\) | 14.7230 | + | 1.40587i | 0.693277 | + | 0.0662000i | ||||
\(452\) | 0.0301690 | − | 0.00143713i | 0.00141903 | − | 6.75967e-5i | ||||
\(453\) | 17.0797 | − | 4.14348i | 0.802473 | − | 0.194678i | ||||
\(454\) | −3.13979 | − | 21.8377i | −0.147358 | − | 1.02489i | ||||
\(455\) | 13.9446 | − | 4.59895i | 0.653734 | − | 0.215602i | ||||
\(456\) | −3.56684 | − | 0.512834i | −0.167033 | − | 0.0240157i | ||||
\(457\) | −3.23241 | − | 0.153979i | −0.151206 | − | 0.00720282i | −0.0281575 | − | 0.999603i | \(-0.508964\pi\) |
−0.123048 | + | 0.992401i | \(0.539267\pi\) | |||||||
\(458\) | 20.8961 | − | 4.02739i | 0.976411 | − | 0.188188i | ||||
\(459\) | −6.99690 | − | 4.03966i | −0.326587 | − | 0.188555i | ||||
\(460\) | 10.6430 | + | 1.82592i | 0.496234 | + | 0.0851342i | ||||
\(461\) | − | 36.3724i | − | 1.69403i | −0.531569 | − | 0.847015i | \(-0.678397\pi\) | ||
0.531569 | − | 0.847015i | \(-0.321603\pi\) | |||||||
\(462\) | 3.98254 | + | 9.06941i | 0.185285 | + | 0.421947i | ||||
\(463\) | 9.67312 | + | 6.21653i | 0.449548 | + | 0.288907i | 0.745759 | − | 0.666216i | \(-0.232087\pi\) |
−0.296211 | + | 0.955122i | \(0.595723\pi\) | |||||||
\(464\) | −0.878986 | + | 0.351893i | −0.0408059 | + | 0.0163362i | ||||
\(465\) | −3.39449 | − | 4.76690i | −0.157416 | − | 0.221060i | ||||
\(466\) | 5.86195 | + | 2.34677i | 0.271549 | + | 0.108712i | ||||
\(467\) | 0.418121 | + | 1.72352i | 0.0193483 | + | 0.0797549i | 0.980667 | − | 0.195683i | \(-0.0626923\pi\) |
−0.961319 | + | 0.275438i | \(0.911177\pi\) | |||||||
\(468\) | −2.70146 | − | 4.20355i | −0.124875 | − | 0.194309i | ||||
\(469\) | −27.9700 | + | 3.60464i | −1.29154 | + | 0.166447i | ||||
\(470\) | −2.69053 | − | 9.16309i | −0.124105 | − | 0.422662i | ||||
\(471\) | −3.48940 | + | 18.1047i | −0.160783 | + | 0.834221i | ||||
\(472\) | −10.2173 | + | 3.53625i | −0.470291 | + | 0.162769i | ||||
\(473\) | −3.47684 | + | 14.3317i | −0.159865 | + | 0.658973i | ||||
\(474\) | −5.78103 | + | 8.11833i | −0.265532 | + | 0.372887i | ||||
\(475\) | −0.214925 | + | 0.138124i | −0.00986144 | + | 0.00633756i | ||||
\(476\) | 3.86042 | − | 1.91922i | 0.176942 | − | 0.0879673i | ||||
\(477\) | −9.05842 | + | 1.30240i | −0.414756 | + | 0.0596330i | ||||
\(478\) | 15.0145 | − | 1.43371i | 0.686746 | − | 0.0655763i | ||||
\(479\) | 29.9665 | + | 23.5660i | 1.36921 | + | 1.07676i | 0.988363 | + | 0.152117i | \(0.0486089\pi\) |
0.380844 | + | 0.924639i | \(0.375633\pi\) | |||||||
\(480\) | −1.01760 | − | 1.97387i | −0.0464468 | − | 0.0900943i | ||||
\(481\) | −6.97212 | + | 20.1446i | −0.317901 | + | 0.918515i | ||||
\(482\) | 10.4654 | 0.476684 | ||||||||
\(483\) | −8.58266 | + | 9.10753i | −0.390524 | + | 0.414407i | ||||
\(484\) | −3.40938 | −0.154972 | ||||||||
\(485\) | −10.5516 | + | 30.4870i | −0.479125 | + | 1.38434i | ||||
\(486\) | 7.35455 | + | 14.2658i | 0.333609 | + | 0.647111i | ||||
\(487\) | 21.7708 | + | 17.1208i | 0.986531 | + | 0.775816i | 0.974563 | − | 0.224112i | \(-0.0719482\pi\) |
0.0119672 | + | 0.999928i | \(0.496191\pi\) | |||||||
\(488\) | 13.7458 | − | 1.31256i | 0.622242 | − | 0.0594169i | ||||
\(489\) | −8.56519 | + | 1.23149i | −0.387331 | + | 0.0556898i | ||||
\(490\) | 5.58868 | − | 14.7375i | 0.252471 | − | 0.665771i | ||||
\(491\) | 21.0610 | − | 13.5351i | 0.950468 | − | 0.610829i | 0.0291239 | − | 0.999576i | \(-0.490728\pi\) |
0.921345 | + | 0.388747i | \(0.127092\pi\) | |||||||
\(492\) | 2.22900 | − | 3.13019i | 0.100491 | − | 0.141120i | ||||
\(493\) | 0.363728 | − | 1.49931i | 0.0163815 | − | 0.0675254i | ||||
\(494\) | 8.51023 | − | 2.94542i | 0.382893 | − | 0.132521i | ||||
\(495\) | 3.27925 | − | 17.0144i | 0.147391 | − | 0.764738i | ||||
\(496\) | −0.742412 | − | 2.52842i | −0.0333353 | − | 0.113530i | ||||
\(497\) | −16.4145 | + | 12.5242i | −0.736292 | + | 0.561788i | ||||
\(498\) | −1.38544 | − | 2.15579i | −0.0620832 | − | 0.0966034i | ||||
\(499\) | 6.33534 | + | 26.1146i | 0.283609 | + | 1.16905i | 0.918172 | + | 0.396181i | \(0.129665\pi\) |
−0.634564 | + | 0.772871i | \(0.718820\pi\) | |||||||
\(500\) | 10.3056 | + | 4.12575i | 0.460882 | + | 0.184509i | ||||
\(501\) | 13.2962 | + | 18.6719i | 0.594031 | + | 0.834200i | ||||
\(502\) | 10.9280 | − | 4.37490i | 0.487739 | − | 0.195261i | ||||
\(503\) | 11.8601 | + | 7.62204i | 0.528817 | + | 0.339850i | 0.777651 | − | 0.628696i | \(-0.216411\pi\) |
−0.248834 | + | 0.968546i | \(0.580047\pi\) | |||||||
\(504\) | −5.33134 | − | 0.587913i | −0.237477 | − | 0.0261877i | ||||
\(505\) | − | 0.511168i | − | 0.0227467i | ||||||
\(506\) | −7.11096 | − | 16.7586i | −0.316121 | − | 0.745010i | ||||
\(507\) | 5.91477 | + | 3.41490i | 0.262684 | + | 0.151661i | ||||
\(508\) | 18.0200 | − | 3.47307i | 0.799507 | − | 0.154092i | ||||
\(509\) | −3.66551 | − | 0.174610i | −0.162471 | − | 0.00773943i | −0.0338111 | − | 0.999428i | \(-0.510764\pi\) |
−0.128660 | + | 0.991689i | \(0.541067\pi\) | |||||||
\(510\) | 3.58179 | + | 0.514983i | 0.158604 | + | 0.0228038i | ||||
\(511\) | 4.29891 | + | 3.83657i | 0.190173 | + | 0.169720i | ||||
\(512\) | −0.142315 | − | 0.989821i | −0.00628949 | − | 0.0437443i | ||||
\(513\) | −17.6052 | + | 4.27098i | −0.777289 | + | 0.188568i | ||||
\(514\) | 12.1477 | − | 0.578667i | 0.535812 | − | 0.0255239i | ||||
\(515\) | −6.34808 | − | 0.606168i | −0.279730 | − | 0.0267110i | ||||
\(516\) | 2.77312 | + | 2.64416i | 0.122080 | + | 0.116403i | ||||
\(517\) | −10.5432 | + | 12.1675i | −0.463688 | + | 0.535125i | ||||
\(518\) | 12.0881 | + | 19.4287i | 0.531120 | + | 0.853647i | ||||
\(519\) | 6.95572 | − | 2.04238i | 0.305322 | − | 0.0896507i | ||||
\(520\) | 4.52074 | + | 3.21921i | 0.198248 | + | 0.141172i | ||||
\(521\) | −0.856473 | − | 17.9796i | −0.0375228 | − | 0.787700i | −0.936704 | − | 0.350123i | \(-0.886140\pi\) |
0.899181 | − | 0.437577i | \(-0.144163\pi\) | |||||||
\(522\) | −1.38916 | + | 1.32456i | −0.0608020 | + | 0.0579746i | ||||
\(523\) | 22.4621 | − | 17.6644i | 0.982201 | − | 0.772411i | 0.00843521 | − | 0.999964i | \(-0.497315\pi\) |
0.973766 | + | 0.227553i | \(0.0730725\pi\) | |||||||
\(524\) | −0.178499 | − | 0.0815179i | −0.00779778 | − | 0.00356113i | ||||
\(525\) | 0.150162 | − | 0.103653i | 0.00655361 | − | 0.00452377i | ||||
\(526\) | −12.2897 | + | 19.1231i | −0.535856 | + | 0.833808i | ||||
\(527\) | 4.05777 | + | 1.40441i | 0.176759 | + | 0.0611769i | ||||
\(528\) | −1.87192 | + | 3.24227i | −0.0814651 | + | 0.141102i | ||||
\(529\) | 15.9816 | − | 16.5406i | 0.694850 | − | 0.719154i | ||||
\(530\) | 8.80268 | − | 5.08223i | 0.382364 | − | 0.220758i | ||||
\(531\) | −16.5652 | + | 14.3538i | −0.718866 | + | 0.622901i | ||||
\(532\) | 3.29500 | − | 9.08785i | 0.142856 | − | 0.394008i | ||||
\(533\) | −1.36669 | + | 9.50557i | −0.0591981 | + | 0.411732i | ||||
\(534\) | −0.140618 | − | 1.47262i | −0.00608514 | − | 0.0637265i | ||||
\(535\) | −8.29305 | + | 20.7150i | −0.358540 | + | 0.895590i | ||||
\(536\) | −7.35563 | − | 7.71436i | −0.317715 | − | 0.333210i | ||||
\(537\) | 9.40069 | − | 18.2348i | 0.405670 | − | 0.786889i | ||||
\(538\) | 23.0229 | − | 10.5142i | 0.992589 | − | 0.453300i | ||||
\(539\) | −25.9950 | + | 5.50632i | −1.11968 | + | 0.237174i | ||||
\(540\) | −8.43736 | − | 7.31102i | −0.363086 | − | 0.314616i | ||||
\(541\) | −5.82195 | − | 1.12209i | −0.250305 | − | 0.0482424i | 0.0625552 | − | 0.998042i | \(-0.480075\pi\) |
−0.312860 | + | 0.949799i | \(0.601287\pi\) | |||||||
\(542\) | −18.5017 | − | 4.48846i | −0.794715 | − | 0.192796i | ||||
\(543\) | −2.48648 | + | 26.0396i | −0.106705 | + | 1.11746i | ||||
\(544\) | 1.44833 | + | 0.746667i | 0.0620967 | + | 0.0320131i | ||||
\(545\) | 9.18192 | − | 31.2707i | 0.393310 | − | 1.33949i | ||||
\(546\) | −6.00527 | + | 2.30279i | −0.257002 | + | 0.0985502i | ||||
\(547\) | 18.2119 | − | 39.8784i | 0.778683 | − | 1.70508i | 0.0721545 | − | 0.997393i | \(-0.477013\pi\) |
0.706529 | − | 0.707685i | \(-0.250260\pi\) | |||||||
\(548\) | 6.80993 | + | 17.0104i | 0.290906 | + | 0.726648i | ||||
\(549\) | 24.8814 | − | 12.8272i | 1.06191 | − | 0.547453i | ||||
\(550\) | 0.0502331 | + | 0.260634i | 0.00214195 | + | 0.0111135i | ||||
\(551\) | −1.72967 | − | 2.99587i | −0.0736864 | − | 0.127629i | ||||
\(552\) | −4.69465 | − | 0.577066i | −0.199818 | − | 0.0245616i | ||||
\(553\) | −18.1645 | − | 19.6173i | −0.772435 | − | 0.834210i | ||||
\(554\) | −10.3033 | − | 11.8907i | −0.437747 | − | 0.505187i | ||||
\(555\) | −0.913876 | + | 19.1846i | −0.0387919 | + | 0.814342i | ||||
\(556\) | 5.58200 | − | 7.09809i | 0.236729 | − | 0.301026i | ||||
\(557\) | −6.24226 | + | 4.44509i | −0.264493 | + | 0.188345i | −0.704608 | − | 0.709597i | \(-0.748877\pi\) |
0.440115 | + | 0.897941i | \(0.354938\pi\) | |||||||
\(558\) | −3.30233 | − | 4.19925i | −0.139799 | − | 0.177769i | ||||
\(559\) | −9.18783 | − | 2.69779i | −0.388604 | − | 0.114104i | ||||
\(560\) | 5.73994 | − | 1.59456i | 0.242557 | − | 0.0673824i | ||||
\(561\) | −2.53424 | − | 5.54920i | −0.106996 | − | 0.234288i | ||||
\(562\) | −9.77773 | + | 10.2546i | −0.412449 | + | 0.432564i | ||||
\(563\) | −7.45249 | − | 21.5326i | −0.314085 | − | 0.907489i | −0.985983 | − | 0.166846i | \(-0.946642\pi\) |
0.671898 | − | 0.740644i | \(-0.265479\pi\) | |||||||
\(564\) | 1.36815 | + | 3.95300i | 0.0576094 | + | 0.166452i | ||||
\(565\) | −0.0469302 | + | 0.0492190i | −0.00197437 | + | 0.00207066i | ||||
\(566\) | −0.289198 | − | 0.633255i | −0.0121559 | − | 0.0266177i | ||||
\(567\) | −3.03777 | + | 0.843895i | −0.127574 | + | 0.0354403i | ||||
\(568\) | −7.48767 | − | 2.19858i | −0.314176 | − | 0.0922503i | ||||
\(569\) | −19.1917 | − | 24.4042i | −0.804558 | − | 1.02308i | −0.999110 | − | 0.0421868i | \(-0.986568\pi\) |
0.194551 | − | 0.980892i | \(-0.437675\pi\) | |||||||
\(570\) | 6.60936 | − | 4.70650i | 0.276836 | − | 0.197134i | ||||
\(571\) | 8.21817 | − | 10.4503i | 0.343920 | − | 0.437330i | −0.583067 | − | 0.812424i | \(-0.698147\pi\) |
0.926987 | + | 0.375095i | \(0.122390\pi\) | |||||||
\(572\) | 0.445187 | − | 9.34562i | 0.0186142 | − | 0.390760i | ||||
\(573\) | −13.4937 | − | 15.5725i | −0.563707 | − | 0.650552i | ||||
\(574\) | 7.00372 | + | 7.56384i | 0.292329 | + | 0.315709i | ||||
\(575\) | −0.278336 | + | 0.187044i | −0.0116074 | + | 0.00780029i | ||||
\(576\) | −1.01364 | − | 1.75567i | −0.0422348 | − | 0.0731529i | ||||
\(577\) | −0.500250 | − | 2.59554i | −0.0208257 | − | 0.108054i | 0.970028 | − | 0.242992i | \(-0.0781287\pi\) |
−0.990854 | + | 0.134938i | \(0.956917\pi\) | |||||||
\(578\) | 12.7502 | − | 6.57318i | 0.530338 | − | 0.273408i | ||||
\(579\) | 4.07422 | + | 10.1769i | 0.169319 | + | 0.422938i | ||||
\(580\) | 0.885614 | − | 1.93922i | 0.0367731 | − | 0.0805219i | ||||
\(581\) | 6.41865 | − | 2.46130i | 0.266291 | − | 0.102112i | ||||
\(582\) | 3.98120 | − | 13.5587i | 0.165026 | − | 0.562027i | ||||
\(583\) | −15.2310 | − | 7.85211i | −0.630802 | − | 0.325201i | ||||
\(584\) | −0.207014 | + | 2.16795i | −0.00856629 | + | 0.0897103i | ||||
\(585\) | 10.9338 | + | 2.65252i | 0.452059 | + | 0.109668i | ||||
\(586\) | 15.5656 | + | 3.00003i | 0.643011 | + | 0.123930i | ||||
\(587\) | −20.0038 | − | 17.3334i | −0.825645 | − | 0.715425i | 0.135707 | − | 0.990749i | \(-0.456669\pi\) |
−0.961352 | + | 0.275324i | \(0.911215\pi\) | |||||||
\(588\) | −2.13803 | + | 6.56449i | −0.0881709 | + | 0.270715i | ||||
\(589\) | 8.75800 | − | 3.99965i | 0.360867 | − | 0.164803i | ||||
\(590\) | 11.1554 | − | 21.6385i | 0.459262 | − | 0.890844i | ||||
\(591\) | 3.24557 | + | 3.40386i | 0.133505 | + | 0.140016i | ||||
\(592\) | −3.21438 | + | 8.02914i | −0.132110 | + | 0.329996i | ||||
\(593\) | 1.75642 | + | 18.3940i | 0.0721274 | + | 0.755352i | 0.957109 | + | 0.289727i | \(0.0935644\pi\) |
−0.884982 | + | 0.465625i | \(0.845829\pi\) | |||||||
\(594\) | −2.67856 | + | 18.6298i | −0.109903 | + | 0.764389i | ||||
\(595\) | −3.30881 | + | 9.12593i | −0.135648 | + | 0.374127i | ||||
\(596\) | 5.44049 | − | 4.71421i | 0.222851 | − | 0.193102i | ||||
\(597\) | −10.0320 | + | 5.79197i | −0.410582 | + | 0.237050i | ||||
\(598\) | 11.0890 | − | 4.09425i | 0.453461 | − | 0.167426i | ||||
\(599\) | −12.3490 | + | 21.3891i | −0.504567 | + | 0.873935i | 0.495419 | + | 0.868654i | \(0.335014\pi\) |
−0.999986 | + | 0.00528129i | \(0.998319\pi\) | |||||||
\(600\) | 0.0651713 | + | 0.0225560i | 0.00266061 | + | 0.000920845i | ||||
\(601\) | −19.0773 | + | 29.6849i | −0.778180 | + | 1.21087i | 0.194995 | + | 0.980804i | \(0.437531\pi\) |
−0.973175 | + | 0.230067i | \(0.926105\pi\) | |||||||
\(602\) | −8.45920 | + | 5.83915i | −0.344771 | + | 0.237986i | ||||
\(603\) | −19.6562 | − | 8.97667i | −0.800461 | − | 0.365558i | ||||
\(604\) | −14.0073 | + | 11.0154i | −0.569948 | + | 0.448212i | ||||
\(605\) | 5.55592 | − | 5.29755i | 0.225880 | − | 0.215376i | ||||
\(606\) | 0.0106537 | + | 0.223649i | 0.000432777 | + | 0.00908510i | ||||
\(607\) | 29.5337 | + | 21.0308i | 1.19873 | + | 0.853615i | 0.992179 | − | 0.124820i | \(-0.0398352\pi\) |
0.206555 | + | 0.978435i | \(0.433775\pi\) | |||||||
\(608\) | 3.50569 | − | 1.02936i | 0.142174 | − | 0.0417462i | ||||
\(609\) | 1.30517 | + | 2.09774i | 0.0528881 | + | 0.0850047i | ||||
\(610\) | −20.3606 | + | 23.4974i | −0.824376 | + | 0.951381i | ||||
\(611\) | −7.56582 | − | 7.21400i | −0.306080 | − | 0.291847i | ||||
\(612\) | 3.28842 | + | 0.314006i | 0.132927 | + | 0.0126930i | ||||
\(613\) | 14.6975 | − | 0.700128i | 0.593627 | − | 0.0282779i | 0.251381 | − | 0.967888i | \(-0.419115\pi\) |
0.342246 | + | 0.939610i | \(0.388812\pi\) | |||||||
\(614\) | −23.4395 | + | 5.68636i | −0.945941 | + | 0.229483i | ||||
\(615\) | 1.23137 | + | 8.56440i | 0.0496538 | + | 0.345350i | ||||
\(616\) | −7.49310 | − | 6.68724i | −0.301906 | − | 0.269436i | ||||
\(617\) | −20.9045 | − | 3.00561i | −0.841583 | − | 0.121001i | −0.291977 | − | 0.956425i | \(-0.594313\pi\) |
−0.549606 | + | 0.835424i | \(0.685222\pi\) | |||||||
\(618\) | 2.79008 | + | 0.132908i | 0.112233 | + | 0.00534633i | ||||
\(619\) | −22.1360 | + | 4.26636i | −0.889720 | + | 0.171479i | −0.613575 | − | 0.789637i | \(-0.710269\pi\) |
−0.276145 | + | 0.961116i | \(0.589057\pi\) | |||||||
\(620\) | 5.13854 | + | 2.96674i | 0.206369 | + | 0.119147i | ||||
\(621\) | −22.9889 | + | 6.07845i | −0.922512 | + | 0.243920i | ||||
\(622\) | 29.7125i | 1.19136i | ||||||||
\(623\) | 3.94449 | + | 0.434977i | 0.158032 | + | 0.0174270i | ||||
\(624\) | −2.04503 | − | 1.31426i | −0.0818668 | − | 0.0526126i | ||||
\(625\) | −23.5292 | + | 9.41969i | −0.941169 | + | 0.376787i | ||||
\(626\) | −4.47773 | − | 6.28810i | −0.178966 | − | 0.251323i | ||||
\(627\) | −12.6990 | − | 5.08392i | −0.507150 | − | 0.203032i | ||||
\(628\) | −4.40742 | − | 18.1676i | −0.175875 | − | 0.724967i | ||||
\(629\) | −7.61911 | − | 11.8556i | −0.303794 | − | 0.472713i | ||||
\(630\) | 9.60144 | − | 7.32586i | 0.382530 | − | 0.291869i | ||||
\(631\) | 0.206724 | + | 0.704036i | 0.00822954 | + | 0.0280272i | 0.963505 | − | 0.267689i | \(-0.0862599\pi\) |
−0.955276 | + | 0.295716i | \(0.904442\pi\) | |||||||
\(632\) | 1.91240 | − | 9.92246i | 0.0760711 | − | 0.394694i | ||||
\(633\) | −1.22467 | + | 0.423861i | −0.0486761 | + | 0.0168470i | ||||
\(634\) | −4.18547 | + | 17.2528i | −0.166226 | + | 0.685195i | ||||
\(635\) | −23.9688 | + | 33.6594i | −0.951171 | + | 1.33573i | ||||
\(636\) | −3.74547 | + | 2.40706i | −0.148517 | + | 0.0954463i | ||||
\(637\) | −2.76815 | − | 17.0299i | −0.109678 | − | 0.674750i | ||||
\(638\) | −3.55747 | + | 0.511487i | −0.140842 | + | 0.0202500i | ||||
\(639\) | −15.7488 | + | 1.50382i | −0.623011 | + | 0.0594903i | ||||
\(640\) | 1.76992 | + | 1.39188i | 0.0699621 | + | 0.0550188i | ||||
\(641\) | 11.9618 | + | 23.2027i | 0.472464 | + | 0.916453i | 0.997847 | + | 0.0655867i | \(0.0208919\pi\) |
−0.525383 | + | 0.850866i | \(0.676078\pi\) | |||||||
\(642\) | 3.19668 | − | 9.23619i | 0.126163 | − | 0.364523i | ||||
\(643\) | 29.4402 | 1.16101 | 0.580505 | − | 0.814257i | \(-0.302855\pi\) | ||||
0.580505 | + | 0.814257i | \(0.302855\pi\) | |||||||
\(644\) | 4.07967 | − | 12.0148i | 0.160761 | − | 0.473451i | ||||
\(645\) | −8.62760 | −0.339711 | ||||||||
\(646\) | −1.94722 | + | 5.62614i | −0.0766125 | + | 0.221357i | ||||
\(647\) | −8.09964 | − | 15.7111i | −0.318430 | − | 0.617667i | 0.674242 | − | 0.738511i | \(-0.264471\pi\) |
−0.992672 | + | 0.120843i | \(0.961440\pi\) | |||||||
\(648\) | −0.936701 | − | 0.736630i | −0.0367971 | − | 0.0289376i | ||||
\(649\) | −40.8561 | + | 3.90129i | −1.60374 | + | 0.153139i | ||||
\(650\) | −0.170594 | + | 0.0245277i | −0.00669124 | + | 0.000962055i | ||||
\(651\) | −6.15732 | + | 3.06113i | −0.241324 | + | 0.119975i | ||||
\(652\) | 7.38094 | − | 4.74344i | 0.289060 | − | 0.185767i | ||||
\(653\) | 2.60671 | − | 3.66062i | 0.102009 | − | 0.143251i | −0.760417 | − | 0.649436i | \(-0.775005\pi\) |
0.862425 | + | 0.506185i | \(0.168945\pi\) | |||||||
\(654\) | −3.36558 | + | 13.8731i | −0.131604 | + | 0.542481i | ||||
\(655\) | 0.417546 | − | 0.144514i | 0.0163149 | − | 0.00564663i | ||||
\(656\) | −0.737365 | + | 3.82581i | −0.0287892 | + | 0.149373i | ||||
\(657\) | 1.24385 | + | 4.23617i | 0.0485273 | + | 0.165269i | ||||
\(658\) | −11.1294 | + | 1.43430i | −0.433869 | + | 0.0559148i | ||||
\(659\) | 0.792828 | + | 1.23367i | 0.0308842 | + | 0.0480568i | 0.856352 | − | 0.516392i | \(-0.172725\pi\) |
−0.825468 | + | 0.564449i | \(0.809089\pi\) | |||||||
\(660\) | −1.98741 | − | 8.19221i | −0.0773598 | − | 0.318881i | ||||
\(661\) | 37.3504 | + | 14.9528i | 1.45276 | + | 0.581598i | 0.957830 | − | 0.287334i | \(-0.0927690\pi\) |
0.494931 | + | 0.868932i | \(0.335193\pi\) | |||||||
\(662\) | 17.8433 | + | 25.0574i | 0.693498 | + | 0.973882i | ||||
\(663\) | 3.67739 | − | 1.47221i | 0.142818 | − | 0.0571758i | ||||
\(664\) | 2.18581 | + | 1.40473i | 0.0848257 | + | 0.0545142i | ||||
\(665\) | 8.75133 | + | 19.9293i | 0.339362 | + | 0.772826i | ||||
\(666\) | 17.5332i | 0.679398i | ||||||||
\(667\) | −2.35047 | − | 3.88504i | −0.0910105 | − | 0.150429i | ||||
\(668\) | −20.1276 | − | 11.6207i | −0.778761 | − | 0.449618i | ||||
\(669\) | 10.9770 | − | 2.11564i | 0.424394 | − | 0.0817952i | ||||
\(670\) | 23.9734 | + | 1.14199i | 0.926173 | + | 0.0441191i | ||||
\(671\) | 51.8824 | + | 7.45956i | 2.00290 | + | 0.287973i | ||||
\(672\) | −2.47813 | + | 0.817290i | −0.0955960 | + | 0.0315276i | ||||
\(673\) | −0.935876 | − | 6.50916i | −0.0360754 | − | 0.250910i | 0.963801 | − | 0.266622i | \(-0.0859075\pi\) |
−0.999877 | + | 0.0157123i | \(0.994998\pi\) | |||||||
\(674\) | 5.77521 | − | 1.40105i | 0.222453 | − | 0.0539665i | ||||
\(675\) | 0.346310 | − | 0.0164968i | 0.0133295 | − | 0.000634961i | ||||
\(676\) | −6.89352 | − | 0.658251i | −0.265135 | − | 0.0253173i | ||||
\(677\) | −3.35466 | − | 3.19866i | −0.128930 | − | 0.122935i | 0.622871 | − | 0.782325i | \(-0.285966\pi\) |
−0.751801 | + | 0.659390i | \(0.770815\pi\) | |||||||
\(678\) | 0.0195073 | − | 0.0225126i | 0.000749173 | − | 0.000864592i | ||||
\(679\) | 33.4362 | + | 17.8615i | 1.28316 | + | 0.685463i | ||||
\(680\) | −3.52038 | + | 1.03368i | −0.135000 | + | 0.0396397i | ||||
\(681\) | −17.7246 | − | 12.6217i | −0.679210 | − | 0.483663i | ||||
\(682\) | −0.475962 | − | 9.99168i | −0.0182255 | − | 0.382601i | ||||
\(683\) | −1.99020 | + | 1.89765i | −0.0761528 | + | 0.0726115i | −0.727200 | − | 0.686426i | \(-0.759179\pi\) |
0.651047 | + | 0.759037i | \(0.274330\pi\) | |||||||
\(684\) | 5.82231 | − | 4.57872i | 0.222622 | − | 0.175072i | ||||
\(685\) | −37.5284 | − | 17.1387i | −1.43389 | − | 0.654835i | ||||
\(686\) | −16.0732 | − | 9.20062i | −0.613679 | − | 0.351281i | ||||
\(687\) | 11.3472 | − | 17.6566i | 0.432924 | − | 0.673642i | ||||
\(688\) | −3.67135 | − | 1.27067i | −0.139969 | − | 0.0484437i | ||||
\(689\) | 5.56328 | − | 9.63589i | 0.211944 | − | 0.367098i | ||||
\(690\) | 8.54703 | − | 6.35424i | 0.325380 | − | 0.241902i | ||||
\(691\) | −8.89063 | + | 5.13301i | −0.338215 | + | 0.195269i | −0.659483 | − | 0.751720i | \(-0.729225\pi\) |
0.321267 | + | 0.946989i | \(0.395891\pi\) | |||||||
\(692\) | −5.55498 | + | 4.81342i | −0.211169 | + | 0.182979i | ||||
\(693\) | −19.1410 | − | 6.93999i | −0.727106 | − | 0.263628i | ||||
\(694\) | 0.787745 | − | 5.47888i | 0.0299024 | − | 0.207976i | ||||
\(695\) | 1.93272 | + | 20.2404i | 0.0733124 | + | 0.767762i | ||||
\(696\) | −0.347061 | + | 0.866917i | −0.0131553 | + | 0.0328604i | ||||
\(697\) | −4.38116 | − | 4.59483i | −0.165948 | − | 0.174041i | ||||
\(698\) | 11.9056 | − | 23.0937i | 0.450635 | − | 0.874109i | ||||
\(699\) | 5.66478 | − | 2.58702i | 0.214262 | − | 0.0978500i | ||||
\(700\) | −0.0948355 | + | 0.158846i | −0.00358444 | + | 0.00600383i | ||||
\(701\) | −24.1464 | − | 20.9229i | −0.911996 | − | 0.790249i | 0.0662276 | − | 0.997805i | \(-0.478904\pi\) |
−0.978223 | + | 0.207556i | \(0.933449\pi\) | |||||||
\(702\) | −12.0001 | − | 2.31283i | −0.452915 | − | 0.0872923i | ||||
\(703\) | −30.7088 | − | 7.44987i | −1.15820 | − | 0.280977i | ||||
\(704\) | 0.360830 | − | 3.77878i | 0.0135993 | − | 0.142418i | ||||
\(705\) | −8.37177 | − | 4.31595i | −0.315299 | − | 0.162548i | ||||
\(706\) | 3.33764 | − | 11.3670i | 0.125614 | − | 0.427801i | ||||
\(707\) | −0.593209 | − | 0.0941687i | −0.0223099 | − | 0.00354158i | ||||
\(708\) | −4.42979 | + | 9.69989i | −0.166482 | + | 0.364544i | ||||
\(709\) | 12.5309 | + | 31.3006i | 0.470607 | + | 1.17552i | 0.953917 | + | 0.300071i | \(0.0970102\pi\) |
−0.483310 | + | 0.875449i | \(0.660566\pi\) | |||||||
\(710\) | 15.6181 | − | 8.05167i | 0.586136 | − | 0.302174i | ||||
\(711\) | −3.87695 | − | 20.1155i | −0.145397 | − | 0.754391i | ||||
\(712\) | 0.749956 | + | 1.29896i | 0.0281058 | + | 0.0486807i | ||||
\(713\) | 11.3858 | − | 5.48440i | 0.426400 | − | 0.205393i | ||||
\(714\) | 1.25748 | − | 4.06178i | 0.0470601 | − | 0.152008i | ||||
\(715\) | 13.7959 | + | 15.9213i | 0.515937 | + | 0.595424i | ||||
\(716\) | −0.989751 | + | 20.7774i | −0.0369887 | + | 0.776489i | ||||
\(717\) | 9.19553 | − | 11.6931i | 0.343413 | − | 0.436685i | ||||
\(718\) | −6.75546 | + | 4.81054i | −0.252111 | + | 0.179528i | ||||
\(719\) | −3.00651 | − | 3.82309i | −0.112124 | − | 0.142577i | 0.726752 | − | 0.686900i | \(-0.241029\pi\) |
−0.838876 | + | 0.544323i | \(0.816787\pi\) | |||||||
\(720\) | 4.37980 | + | 1.28603i | 0.163226 | + | 0.0479274i | ||||
\(721\) | −1.87292 | + | 7.25526i | −0.0697510 | + | 0.270200i | ||||
\(722\) | −2.34733 | − | 5.13994i | −0.0873587 | − | 0.191289i | ||||
\(723\) | 7.12276 | − | 7.47014i | 0.264898 | − | 0.277817i | ||||
\(724\) | −8.67455 | − | 25.0635i | −0.322387 | − | 0.931476i | ||||
\(725\) | 0.0216535 | + | 0.0625637i | 0.000804191 | + | 0.00232356i | ||||
\(726\) | −2.32044 | + | 2.43361i | −0.0861196 | + | 0.0903196i | ||||
\(727\) | −3.10296 | − | 6.79453i | −0.115082 | − | 0.251995i | 0.843322 | − | 0.537408i | \(-0.180597\pi\) |
−0.958405 | + | 0.285413i | \(0.907869\pi\) | |||||||
\(728\) | 4.56870 | − | 4.65326i | 0.169327 | − | 0.172461i | ||||
\(729\) | 11.7583 | + | 3.45255i | 0.435492 | + | 0.127872i | ||||
\(730\) | −3.03124 | − | 3.85454i | −0.112191 | − | 0.142663i | ||||
\(731\) | 5.15670 | − | 3.67207i | 0.190727 | − | 0.135816i | ||||
\(732\) | 8.41853 | − | 10.7050i | 0.311158 | − | 0.395669i | ||||
\(733\) | 1.81003 | − | 37.9973i | 0.0668552 | − | 1.40346i | −0.677423 | − | 0.735593i | \(-0.736903\pi\) |
0.744279 | − | 0.667869i | \(-0.232793\pi\) | |||||||
\(734\) | −4.86520 | − | 5.61474i | −0.179578 | − | 0.207244i | ||||
\(735\) | −6.71588 | − | 14.0196i | −0.247719 | − | 0.517119i | ||||
\(736\) | 4.57291 | − | 1.44515i | 0.168560 | − | 0.0532690i | ||||
\(737\) | −20.2308 | − | 35.0408i | −0.745212 | − | 1.29075i | ||||
\(738\) | 1.49484 | + | 7.75596i | 0.0550258 | + | 0.285501i | ||||
\(739\) | −38.3037 | + | 19.7469i | −1.40902 | + | 0.726402i | −0.983898 | − | 0.178732i | \(-0.942800\pi\) |
−0.425126 | + | 0.905134i | \(0.639770\pi\) | |||||||
\(740\) | −7.23766 | − | 18.0788i | −0.266062 | − | 0.664590i | ||||
\(741\) | 3.68966 | − | 8.07924i | 0.135543 | − | 0.296798i | ||||
\(742\) | −4.27626 | − | 11.1517i | −0.156986 | − | 0.409393i | ||||
\(743\) | −8.86856 | + | 30.2035i | −0.325356 | + | 1.10806i | 0.620698 | + | 0.784050i | \(0.286849\pi\) |
−0.946054 | + | 0.324010i | \(0.894969\pi\) | |||||||
\(744\) | −2.31007 | − | 1.19092i | −0.0846913 | − | 0.0436614i | ||||
\(745\) | −1.54078 | + | 16.1358i | −0.0564498 | + | 0.591169i | ||||
\(746\) | 10.2758 | + | 2.49289i | 0.376225 | + | 0.0912711i | ||||
\(747\) | 5.17222 | + | 0.996863i | 0.189242 | + | 0.0364733i | ||||
\(748\) | 4.67463 | + | 4.05059i | 0.170921 | + | 0.148104i | ||||
\(749\) | 22.5120 | + | 13.4402i | 0.822570 | + | 0.491096i | ||||
\(750\) | 9.95900 | − | 4.54812i | 0.363651 | − | 0.166074i | ||||
\(751\) | 13.6276 | − | 26.4338i | 0.497277 | − | 0.964583i | −0.497970 | − | 0.867194i | \(-0.665921\pi\) |
0.995246 | − | 0.0973881i | \(-0.0310488\pi\) | |||||||
\(752\) | −2.92684 | − | 3.06958i | −0.106731 | − | 0.111936i | ||||
\(753\) | 4.31483 | − | 10.7779i | 0.157241 | − | 0.392770i | ||||
\(754\) | −0.221829 | − | 2.32310i | −0.00807855 | − | 0.0846024i | ||||
\(755\) | 5.71022 | − | 39.7154i | 0.207816 | − | 1.44539i | ||||
\(756\) | −10.0388 | + | 8.44468i | −0.365106 | + | 0.307130i | ||||
\(757\) | −5.16956 | + | 4.47945i | −0.187891 | + | 0.162808i | −0.743727 | − | 0.668484i | \(-0.766944\pi\) |
0.555836 | + | 0.831292i | \(0.312398\pi\) | |||||||
\(758\) | 24.8557 | − | 14.3504i | 0.902798 | − | 0.521231i | ||||
\(759\) | −16.8020 | − | 6.33018i | −0.609873 | − | 0.229771i | ||||
\(760\) | −4.11341 | + | 7.12464i | −0.149209 | + | 0.258438i | ||||
\(761\) | −35.7201 | − | 12.3628i | −1.29485 | − | 0.448152i | −0.409175 | − | 0.912456i | \(-0.634183\pi\) |
−0.885676 | + | 0.464303i | \(0.846305\pi\) | |||||||
\(762\) | 9.78540 | − | 15.2264i | 0.354488 | − | 0.551594i | ||||
\(763\) | −34.5981 | − | 16.4164i | −1.25253 | − | 0.594312i | ||||
\(764\) | 19.0043 | + | 8.67897i | 0.687551 | + | 0.313994i | ||||
\(765\) | −5.84671 | + | 4.59790i | −0.211388 | + | 0.166238i | ||||
\(766\) | −21.8053 | + | 20.7913i | −0.787858 | + | 0.751221i | ||||
\(767\) | −1.26802 | − | 26.6190i | −0.0457854 | − | 0.961155i | ||||
\(768\) | −0.803391 | − | 0.572092i | −0.0289899 | − | 0.0206436i | ||||
\(769\) | 13.0730 | − | 3.83858i | 0.471425 | − | 0.138423i | −0.0373864 | − | 0.999301i | \(-0.511903\pi\) |
0.508811 | + | 0.860878i | \(0.330085\pi\) | |||||||
\(770\) | 22.6015 | − | 0.745409i | 0.814500 | − | 0.0268627i | ||||
\(771\) | 7.85473 | − | 9.06484i | 0.282881 | − | 0.326462i | ||||
\(772\) | −8.04413 | − | 7.67006i | −0.289515 | − | 0.276052i | ||||
\(773\) | −28.3103 | − | 2.70330i | −1.01825 | − | 0.0972310i | −0.427441 | − | 0.904043i | \(-0.640585\pi\) |
−0.590808 | + | 0.806812i | \(0.701191\pi\) | |||||||
\(774\) | −7.86708 | + | 0.374755i | −0.282776 | + | 0.0134703i | ||||
\(775\) | −0.179068 | + | 0.0434415i | −0.00643233 | + | 0.00156047i | ||||
\(776\) | 2.03907 | + | 14.1820i | 0.0731982 | + | 0.509105i | ||||
\(777\) | 22.0953 | + | 4.59479i | 0.792666 | + | 0.164837i | ||||
\(778\) | −36.9504 | − | 5.31267i | −1.32474 | − | 0.190468i | ||||
\(779\) | −14.2194 | − | 0.677356i | −0.509464 | − | 0.0242688i | ||||
\(780\) | 5.37470 | − | 1.03589i | 0.192445 | − | 0.0370907i | ||||
\(781\) | −25.6542 | − | 14.8115i | −0.917979 | − | 0.529996i | ||||
\(782\) | −2.40406 | + | 7.43569i | −0.0859691 | + | 0.265900i | ||||
\(783\) | 4.69450i | 0.167768i | ||||||||
\(784\) | −0.793054 | − | 6.95493i | −0.0283233 | − | 0.248390i | ||||
\(785\) | 35.4114 | + | 22.7576i | 1.26389 | + | 0.812252i | ||||
\(786\) | −0.179675 | + | 0.0719309i | −0.00640878 | + | 0.00256569i | ||||
\(787\) | 9.89482 | + | 13.8953i | 0.352712 | + | 0.495315i | 0.952371 | − | 0.304940i | \(-0.0986365\pi\) |
−0.599659 | + | 0.800256i | \(0.704697\pi\) | |||||||
\(788\) | −4.42708 | − | 1.77233i | −0.157708 | − | 0.0631368i | ||||
\(789\) | 5.28562 | + | 21.7876i | 0.188173 | + | 0.775660i | ||||
\(790\) | 12.3012 | + | 19.1411i | 0.437658 | + | 0.681010i | ||||
\(791\) | 0.0484729 | + | 0.0635296i | 0.00172350 | + | 0.00225885i | ||||
\(792\) | −2.16806 | − | 7.38374i | −0.0770388 | − | 0.262370i | ||||
\(793\) | −6.44105 | + | 33.4194i | −0.228729 | + | 1.18676i | ||||
\(794\) | 1.09499 | − | 0.378979i | 0.0388597 | − | 0.0134495i | ||||
\(795\) | 2.36346 | − | 9.74231i | 0.0838232 | − | 0.345524i | ||||
\(796\) | 6.81289 | − | 9.56737i | 0.241477 | − | 0.339106i | ||||
\(797\) | 41.4626 | − | 26.6464i | 1.46868 | − | 0.943865i | 0.470575 | − | 0.882360i | \(-0.344046\pi\) |
0.998107 | − | 0.0615047i | \(-0.0195899\pi\) | |||||||
\(798\) | −4.24429 | − | 8.53718i | −0.150246 | − | 0.302213i | ||||
\(799\) | 6.84074 | − | 0.983550i | 0.242008 | − | 0.0347955i | ||||
\(800\) | −0.0696078 | + | 0.00664674i | −0.00246101 | + | 0.000234998i | ||||
\(801\) | 2.39018 | + | 1.87966i | 0.0844527 | + | 0.0664144i | ||||
\(802\) | 9.71409 | + | 18.8427i | 0.343016 | + | 0.665359i | ||||
\(803\) | −2.70384 | + | 7.81222i | −0.0954163 | + | 0.275687i | ||||
\(804\) | −10.5128 | −0.370756 | ||||||||
\(805\) | 12.0206 | + | 25.9184i | 0.423672 | + | 0.913503i | ||||
\(806\) | 6.49510 | 0.228780 | ||||||||
\(807\) | 8.16448 | − | 23.5897i | 0.287403 | − | 0.830397i | ||||
\(808\) | −0.104026 | − | 0.201783i | −0.00365963 | − | 0.00709869i | ||||
\(809\) | 32.6405 | + | 25.6687i | 1.14758 | + | 0.902465i | 0.996293 | − | 0.0860252i | \(-0.0274166\pi\) |
0.151285 | + | 0.988490i | \(0.451659\pi\) | |||||||
\(810\) | 2.67103 | − | 0.255052i | 0.0938504 | − | 0.00896163i | ||||
\(811\) | 19.3009 | − | 2.77505i | 0.677745 | − | 0.0974450i | 0.205158 | − | 0.978729i | \(-0.434229\pi\) |
0.472587 | + | 0.881284i | \(0.343320\pi\) | |||||||
\(812\) | −2.08731 | − | 1.38500i | −0.0732504 | − | 0.0486040i | ||||
\(813\) | −15.7962 | + | 10.1516i | −0.553995 | + | 0.356031i | ||||
\(814\) | −19.0433 | + | 26.7426i | −0.667467 | + | 0.937327i | ||||
\(815\) | −4.65751 | + | 19.1985i | −0.163145 | + | 0.672494i | ||||
\(816\) | 1.51871 | − | 0.525630i | 0.0531654 | − | 0.0184007i | ||||
\(817\) | 2.68636 | − | 13.9381i | 0.0939837 | − | 0.487634i | ||||
\(818\) | 3.53541 | + | 12.0405i | 0.123613 | + | 0.420986i | ||||
\(819\) | 5.09250 | − | 12.2000i | 0.177946 | − | 0.426304i | ||||
\(820\) | −4.74300 | − | 7.38025i | −0.165633 | − | 0.257730i | ||||
\(821\) | 3.32311 | + | 13.6980i | 0.115977 | + | 0.478065i | 0.999945 | + | 0.0105163i | \(0.00334751\pi\) |
−0.883967 | + | 0.467548i | \(0.845137\pi\) | |||||||
\(822\) | 16.7768 | + | 6.71643i | 0.585159 | + | 0.234262i | ||||
\(823\) | −24.4012 | − | 34.2667i | −0.850574 | − | 1.19446i | −0.979226 | − | 0.202774i | \(-0.935004\pi\) |
0.128652 | − | 0.991690i | \(-0.458935\pi\) | |||||||
\(824\) | −2.62926 | + | 1.05260i | −0.0915945 | + | 0.0366689i | ||||
\(825\) | 0.220229 | + | 0.141532i | 0.00766738 | + | 0.00492753i | ||||
\(826\) | −23.0564 | − | 16.9322i | −0.802233 | − | 0.589145i | ||||
\(827\) | 20.9490i | 0.728469i | 0.931307 | + | 0.364235i | \(0.118669\pi\) | ||||
−0.931307 | + | 0.364235i | \(0.881331\pi\) | |||||||
\(828\) | 7.51761 | − | 6.16537i | 0.261255 | − | 0.214261i | ||||
\(829\) | −24.6744 | − | 14.2458i | −0.856976 | − | 0.494776i | 0.00602218 | − | 0.999982i | \(-0.498083\pi\) |
−0.862999 | + | 0.505206i | \(0.831416\pi\) | |||||||
\(830\) | −5.74467 | + | 1.10720i | −0.199401 | + | 0.0384313i | ||||
\(831\) | −15.5000 | − | 0.738357i | −0.537690 | − | 0.0256133i | ||||
\(832\) | 2.43969 | + | 0.350774i | 0.0845810 | + | 0.0121609i | ||||
\(833\) | 9.98106 | + | 5.52106i | 0.345823 | + | 0.191293i | ||||
\(834\) | −1.26746 | − | 8.81540i | −0.0438886 | − | 0.305252i | ||||
\(835\) | 50.8563 | − | 12.3376i | 1.75995 | − | 0.426960i | ||||
\(836\) | 13.8536 | − | 0.659927i | 0.479136 | − | 0.0228241i | ||||
\(837\) | −13.0066 | − | 1.24198i | −0.449575 | − | 0.0429292i | ||||
\(838\) | −0.620568 | − | 0.591710i | −0.0214372 | − | 0.0204403i | ||||
\(839\) | −17.1878 | + | 19.8357i | −0.593388 | + | 0.684806i | −0.970428 | − | 0.241391i | \(-0.922396\pi\) |
0.377040 | + | 0.926197i | \(0.376942\pi\) | |||||||
\(840\) | 2.76843 | − | 5.18241i | 0.0955200 | − | 0.178810i | ||||
\(841\) | 26.9652 | − | 7.91769i | 0.929833 | − | 0.273024i | ||||
\(842\) | −25.4118 | − | 18.0957i | −0.875749 | − | 0.623618i | ||||
\(843\) | 0.664931 | + | 13.9586i | 0.0229015 | + | 0.480761i | ||||
\(844\) | 0.950974 | − | 0.906752i | 0.0327339 | − | 0.0312117i | ||||
\(845\) | 12.2564 | − | 9.63857i | 0.421634 | − | 0.331577i | ||||
\(846\) | −7.82127 | − | 3.57186i | −0.268901 | − | 0.122803i | ||||
\(847\) | −5.12427 | − | 7.42355i | −0.176072 | − | 0.255076i | ||||
\(848\) | 2.44058 | − | 3.79761i | 0.0838097 | − | 0.130410i | ||||
\(849\) | −0.648845 | − | 0.224567i | −0.0222683 | − | 0.00770713i | ||||
\(850\) | 0.0569699 | − | 0.0986747i | 0.00195405 | − | 0.00338452i | ||||
\(851\) | −40.5003 | − | 8.95066i | −1.38833 | − | 0.306825i | ||||
\(852\) | −6.66548 | + | 3.84832i | −0.228356 | + | 0.131841i | ||||
\(853\) | −30.7439 | + | 26.6397i | −1.05265 | + | 0.912126i | −0.996271 | − | 0.0862835i | \(-0.972501\pi\) |
−0.0563788 | + | 0.998409i | \(0.517955\pi\) | |||||||
\(854\) | 23.5177 | + | 27.9571i | 0.804761 | + | 0.956674i | ||||
\(855\) | −2.37353 | + | 16.5083i | −0.0811729 | + | 0.564570i | ||||
\(856\) | 0.941987 | + | 9.86493i | 0.0321964 | + | 0.337176i | ||||
\(857\) | −4.09941 | + | 10.2398i | −0.140033 | + | 0.349786i | −0.981762 | − | 0.190115i | \(-0.939114\pi\) |
0.841729 | + | 0.539901i | \(0.181538\pi\) | |||||||
\(858\) | −6.36788 | − | 6.67844i | −0.217396 | − | 0.227998i | ||||
\(859\) | 8.33959 | − | 16.1766i | 0.284543 | − | 0.551937i | −0.702637 | − | 0.711549i | \(-0.747994\pi\) |
0.987180 | + | 0.159612i | \(0.0510243\pi\) | |||||||
\(860\) | 7.95720 | − | 3.63393i | 0.271338 | − | 0.123916i | ||||
\(861\) | 10.1658 | + | 0.148749i | 0.346450 | + | 0.00506936i | ||||
\(862\) | 6.33682 | + | 5.49088i | 0.215833 | + | 0.187020i | ||||
\(863\) | 6.08717 | + | 1.17320i | 0.207210 | + | 0.0399364i | 0.291800 | − | 0.956479i | \(-0.405746\pi\) |
−0.0845901 | + | 0.996416i | \(0.526958\pi\) | |||||||
\(864\) | −4.81848 | − | 1.16895i | −0.163928 | − | 0.0397685i | ||||
\(865\) | 1.57320 | − | 16.4753i | 0.0534906 | − | 0.560178i | ||||
\(866\) | −26.2055 | − | 13.5099i | −0.890500 | − | 0.459085i | ||||
\(867\) | 3.98591 | − | 13.5748i | 0.135369 | − | 0.461023i | ||||
\(868\) | 4.38952 | − | 5.41672i | 0.148990 | − | 0.183855i | ||||
\(869\) | 15.9347 | − | 34.8921i | 0.540548 | − | 1.18364i | ||||
\(870\) | −0.781460 | − | 1.95199i | −0.0264940 | − | 0.0661788i | ||||
\(871\) | 23.3518 | − | 12.0387i | 0.791245 | − | 0.407915i | ||||
\(872\) | −2.73927 | − | 14.2127i | −0.0927633 | − | 0.481302i | ||||
\(873\) | 14.5232 | + | 25.1550i | 0.491537 | + | 0.851367i | ||||
\(874\) | 7.60419 | + | 15.7865i | 0.257215 | + | 0.533986i | ||||
\(875\) | 6.50590 | + | 28.6403i | 0.219939 | + | 0.968219i | ||||
\(876\) | 1.40658 | + | 1.62328i | 0.0475239 | + | 0.0548455i | ||||
\(877\) | 0.384649 | − | 8.07477i | 0.0129887 | − | 0.272666i | −0.983025 | − | 0.183469i | \(-0.941267\pi\) |
0.996014 | − | 0.0891961i | \(-0.0284298\pi\) | |||||||
\(878\) | −5.69005 | + | 7.23549i | −0.192030 | + | 0.244186i | ||||
\(879\) | 12.7355 | − | 9.06888i | 0.429556 | − | 0.305886i | ||||
\(880\) | 5.28352 | + | 6.71855i | 0.178108 | + | 0.226482i | ||||
\(881\) | −0.611797 | − | 0.179640i | −0.0206120 | − | 0.00605222i | 0.271410 | − | 0.962464i | \(-0.412510\pi\) |
−0.292022 | + | 0.956412i | \(0.594328\pi\) | |||||||
\(882\) | −6.73284 | − | 12.4920i | −0.226707 | − | 0.420628i | ||||
\(883\) | 3.39273 | + | 7.42905i | 0.114175 | + | 0.250007i | 0.958089 | − | 0.286470i | \(-0.0924819\pi\) |
−0.843915 | + | 0.536477i | \(0.819755\pi\) | |||||||
\(884\) | −2.77155 | + | 2.90672i | −0.0932174 | + | 0.0977636i | ||||
\(885\) | −7.85308 | − | 22.6900i | −0.263978 | − | 0.762715i | ||||
\(886\) | 2.02576 | + | 5.85304i | 0.0680566 | + | 0.196637i | ||||
\(887\) | −31.9387 | + | 33.4964i | −1.07240 | + | 1.12470i | −0.0806167 | + | 0.996745i | \(0.525689\pi\) |
−0.991780 | + | 0.127952i | \(0.959160\pi\) | |||||||
\(888\) | 3.54345 | + | 7.75908i | 0.118911 | + | 0.260378i | ||||
\(889\) | 34.6461 | + | 34.0165i | 1.16199 | + | 1.14088i | ||||
\(890\) | −3.24047 | − | 0.951489i | −0.108621 | − | 0.0318940i | ||||
\(891\) | −2.79622 | − | 3.55569i | −0.0936770 | − | 0.119120i | ||||
\(892\) | −9.23290 | + | 6.57472i | −0.309140 | + | 0.220138i | ||||
\(893\) | 9.57924 | − | 12.1810i | 0.320557 | − | 0.407621i | ||||
\(894\) | 0.337830 | − | 7.09192i | 0.0112987 | − | 0.237189i | ||||
\(895\) | −30.6714 | − | 35.3967i | −1.02523 | − | 1.18318i | ||||
\(896\) | 1.94133 | − | 1.79757i | 0.0648552 | − | 0.0600525i | ||||
\(897\) | 4.62473 | − | 10.7018i | 0.154415 | − | 0.357324i | ||||
\(898\) | 14.9802 | + | 25.9465i | 0.499896 | + | 0.865846i | ||||
\(899\) | −0.472181 | − | 2.44991i | −0.0157481 | − | 0.0817090i | ||||
\(900\) | −0.125998 | + | 0.0649563i | −0.00419992 | + | 0.00216521i | ||||
\(901\) | 2.73388 | + | 6.82889i | 0.0910786 | + | 0.227503i | ||||
\(902\) | −6.14396 | + | 13.4534i | −0.204571 | + | 0.447949i | ||||
\(903\) | −1.58940 | + | 10.0123i | −0.0528919 | + | 0.333189i | ||||
\(904\) | −0.00850922 | + | 0.0289797i | −0.000283012 | + | 0.000963852i | ||||
\(905\) | 53.0800 | + | 27.3646i | 1.76444 | + | 0.909632i | ||||
\(906\) | −1.67062 | + | 17.4955i | −0.0555026 | + | 0.581249i | ||||
\(907\) | 5.58823 | + | 1.35569i | 0.185554 | + | 0.0450149i | 0.327459 | − | 0.944865i | \(-0.393808\pi\) |
−0.141905 | + | 0.989880i | \(0.545323\pi\) | |||||||
\(908\) | 21.6636 | + | 4.17531i | 0.718931 | + | 0.138563i | ||||
\(909\) | −0.347819 | − | 0.301387i | −0.0115364 | − | 0.00999636i | ||||
\(910\) | −0.214829 | + | 14.6819i | −0.00712152 | + | 0.486699i | ||||
\(911\) | 22.0223 | − | 10.0573i | 0.729632 | − | 0.333212i | −0.0157257 | − | 0.999876i | \(-0.505006\pi\) |
0.745358 | + | 0.666664i | \(0.232279\pi\) | |||||||
\(912\) | 1.65123 | − | 3.20294i | 0.0546776 | − | 0.106060i | ||||
\(913\) | 6.80622 | + | 7.13816i | 0.225253 | + | 0.236239i | ||||
\(914\) | 1.20273 | − | 3.00427i | 0.0397827 | − | 0.0993724i | ||||
\(915\) | 2.91485 | + | 30.5257i | 0.0963621 | + | 1.00915i | ||||
\(916\) | −3.02856 | + | 21.0641i | −0.100066 | + | 0.695976i | ||||
\(917\) | −0.0907867 | − | 0.511183i | −0.00299804 | − | 0.0168808i | ||||
\(918\) | 6.10594 | − | 5.29083i | 0.201526 | − | 0.174623i | ||||
\(919\) | 32.9835 | − | 19.0430i | 1.08802 | − | 0.628171i | 0.154975 | − | 0.987918i | \(-0.450470\pi\) |
0.933050 | + | 0.359747i | \(0.117137\pi\) | |||||||
\(920\) | −5.20650 | + | 9.46048i | −0.171653 | + | 0.311903i | ||||
\(921\) | −11.8941 | + | 20.6012i | −0.391924 | + | 0.678833i | ||||
\(922\) | 34.3719 | + | 11.8962i | 1.13198 | + | 0.391782i | ||||
\(923\) | 10.3990 | − | 16.1812i | 0.342287 | − | 0.532609i | ||||
\(924\) | −9.87316 | + | 0.797192i | −0.324803 | + | 0.0262257i | ||||
\(925\) | 0.550102 | + | 0.251223i | 0.0180872 | + | 0.00826017i | ||||
\(926\) | −9.03840 | + | 7.10787i | −0.297020 | + | 0.233579i | ||||
\(927\) | −4.15531 | + | 3.96208i | −0.136478 | + | 0.130132i | ||||
\(928\) | −0.0450509 | − | 0.945735i | −0.00147887 | − | 0.0310453i | ||||
\(929\) | −0.309092 | − | 0.220104i | −0.0101410 | − | 0.00722136i | 0.574975 | − | 0.818171i | \(-0.305012\pi\) |
−0.585116 | + | 0.810949i | \(0.698951\pi\) | |||||||
\(930\) | 5.61495 | − | 1.64870i | 0.184122 | − | 0.0540630i | ||||
\(931\) | 24.7401 | − | 6.48446i | 0.810825 | − | 0.212520i | ||||
\(932\) | −4.13495 | + | 4.77199i | −0.135445 | + | 0.156312i | ||||
\(933\) | 21.2087 | + | 20.2224i | 0.694341 | + | 0.662053i | ||||
\(934\) | −1.76548 | − | 0.168583i | −0.0577682 | − | 0.00551620i | ||||
\(935\) | −13.9116 | + | 0.662693i | −0.454959 | + | 0.0216724i | ||||
\(936\) | 4.85592 | − | 1.17803i | 0.158721 | − | 0.0385053i | ||||
\(937\) | 2.87318 | + | 19.9834i | 0.0938627 | + | 0.652830i | 0.981383 | + | 0.192061i | \(0.0615171\pi\) |
−0.887520 | + | 0.460769i | \(0.847574\pi\) | |||||||
\(938\) | 5.74172 | − | 27.6107i | 0.187474 | − | 0.901521i | ||||
\(939\) | −7.53599 | − | 1.08351i | −0.245928 | − | 0.0353591i | ||||
\(940\) | 9.53912 | + | 0.454404i | 0.311132 | + | 0.0148210i | ||||
\(941\) | 41.3459 | − | 7.96877i | 1.34784 | − | 0.259774i | 0.536277 | − | 0.844042i | \(-0.319830\pi\) |
0.811561 | + | 0.584268i | \(0.198618\pi\) | |||||||
\(942\) | −15.9677 | − | 9.21895i | −0.520256 | − | 0.300370i | ||||
\(943\) | −18.6788 | − | 0.506444i | −0.608264 | − | 0.0164921i | ||||
\(944\) | − | 10.8120i | − | 0.351900i | ||||||
\(945\) | 3.23765 | − | 29.3598i | 0.105321 | − | 0.955074i | ||||
\(946\) | −12.4063 | − | 7.97306i | −0.403364 | − | 0.259227i | ||||
\(947\) | 14.9597 | − | 5.98897i | 0.486125 | − | 0.194615i | −0.115635 | − | 0.993292i | \(-0.536890\pi\) |
0.601761 | + | 0.798677i | \(0.294466\pi\) | |||||||
\(948\) | −5.78103 | − | 8.11833i | −0.187759 | − | 0.263671i | ||||
\(949\) | −4.98330 | − | 1.99501i | −0.161765 | − | 0.0647609i | ||||
\(950\) | −0.0602321 | − | 0.248280i | −0.00195419 | − | 0.00805527i | ||||
\(951\) | 9.46632 | + | 14.7299i | 0.306966 | + | 0.477649i | ||||
\(952\) | 0.551045 | + | 4.27581i | 0.0178595 | + | 0.138580i | ||||
\(953\) | 11.0164 | + | 37.5186i | 0.356858 | + | 1.21535i | 0.920965 | + | 0.389644i | \(0.127402\pi\) |
−0.564108 | + | 0.825701i | \(0.690780\pi\) | |||||||
\(954\) | 1.73195 | − | 8.98619i | 0.0560738 | − | 0.290939i | ||||
\(955\) | −44.4548 | + | 15.3860i | −1.43852 | + | 0.497878i | ||||
\(956\) | −3.55590 | + | 14.6576i | −0.115006 | + | 0.474061i | ||||
\(957\) | −2.05613 | + | 2.88743i | −0.0664653 | + | 0.0933374i | ||||
\(958\) | −32.0709 | + | 20.6107i | −1.03617 | + | 0.665903i | ||||
\(959\) | −26.8030 | + | 40.3943i | −0.865513 | + | 1.30440i | ||||
\(960\) | 2.19813 | − | 0.316043i | 0.0709443 | − | 0.0102003i | ||||
\(961\) | −23.9470 | + | 2.28666i | −0.772483 | + | 0.0737632i | ||||
\(962\) | −16.7563 | − | 13.1773i | −0.540245 | − | 0.424854i | ||||
\(963\) | 9.20571 | + | 17.8566i | 0.296650 | + | 0.575421i | ||||
\(964\) | −3.42288 | + | 9.88977i | −0.110244 | + | 0.318528i | ||||
\(965\) | 25.0265 | 0.805633 | ||||||||
\(966\) | −5.79951 | − | 11.0894i | −0.186596 | − | 0.356796i | ||||
\(967\) | 6.19642 | 0.199263 | 0.0996317 | − | 0.995024i | \(-0.468234\pi\) | ||||
0.0996317 | + | 0.995024i | \(0.468234\pi\) | |||||||
\(968\) | 1.11510 | − | 3.22187i | 0.0358407 | − | 0.103555i | ||||
\(969\) | 2.69063 | + | 5.21909i | 0.0864355 | + | 0.167661i | ||||
\(970\) | −25.3591 | − | 19.9426i | −0.814232 | − | 0.640319i | ||||
\(971\) | −17.6737 | + | 1.68763i | −0.567175 | + | 0.0541587i | −0.374705 | − | 0.927144i | \(-0.622256\pi\) |
−0.192470 | + | 0.981303i | \(0.561650\pi\) | |||||||
\(972\) | −15.8867 | + | 2.28416i | −0.509565 | + | 0.0732644i | ||||
\(973\) | 23.8450 | + | 1.48582i | 0.764435 | + | 0.0476332i | ||||
\(974\) | −23.2997 | + | 14.9738i | −0.746570 | + | 0.479791i | ||||
\(975\) | −0.0985990 | + | 0.138463i | −0.00315770 | + | 0.00443436i | ||||
\(976\) | −3.25543 | + | 13.4191i | −0.104204 | + | 0.429534i | ||||
\(977\) | 13.1721 | − | 4.55890i | 0.421412 | − | 0.145852i | −0.108128 | − | 0.994137i | \(-0.534486\pi\) |
0.529540 | + | 0.848285i | \(0.322364\pi\) | |||||||
\(978\) | 1.63764 | − | 8.49689i | 0.0523660 | − | 0.271701i | ||||
\(979\) | 1.60408 | + | 5.46299i | 0.0512666 | + | 0.174598i | ||||
\(980\) | 12.0990 | + | 10.1015i | 0.386490 | + | 0.322679i | ||||
\(981\) | −15.8641 | − | 24.6851i | −0.506503 | − | 0.788134i | ||||
\(982\) | 5.90228 | + | 24.3295i | 0.188349 | + | 0.776386i | ||||
\(983\) | −3.86171 | − | 1.54599i | −0.123169 | − | 0.0493096i | 0.309259 | − | 0.950978i | \(-0.399919\pi\) |
−0.432428 | + | 0.901668i | \(0.642343\pi\) | |||||||
\(984\) | 2.22900 | + | 3.13019i | 0.0710579 | + | 0.0997868i | ||||
\(985\) | 9.96823 | − | 3.99068i | 0.317614 | − | 0.127153i | ||||
\(986\) | 1.29788 | + | 0.834098i | 0.0413330 | + | 0.0265631i | ||||
\(987\) | −6.55091 | + | 8.92032i | −0.208518 | + | 0.283937i | ||||
\(988\) | 9.00552i | 0.286504i | ||||||||
\(989\) | 3.15047 | − | 18.3636i | 0.100179 | − | 0.583929i | ||||
\(990\) | 15.0060 | + | 8.66374i | 0.476923 | + | 0.275352i | ||||
\(991\) | 40.8488 | − | 7.87296i | 1.29761 | − | 0.250093i | 0.506748 | − | 0.862094i | \(-0.330847\pi\) |
0.790857 | + | 0.612001i | \(0.209635\pi\) | |||||||
\(992\) | 2.63218 | + | 0.125386i | 0.0835719 | + | 0.00398102i | ||||
\(993\) | 30.0301 | + | 4.31767i | 0.952975 | + | 0.137017i | ||||
\(994\) | −6.46674 | − | 19.6080i | −0.205113 | − | 0.621929i | ||||
\(995\) | 3.76367 | + | 26.1769i | 0.119316 | + | 0.829864i | ||||
\(996\) | 2.49036 | − | 0.604155i | 0.0789101 | − | 0.0191434i | ||||
\(997\) | −56.5689 | + | 2.69471i | −1.79155 | + | 0.0853423i | −0.916830 | − | 0.399278i | \(-0.869261\pi\) |
−0.874725 | + | 0.484620i | \(0.838958\pi\) | |||||||
\(998\) | −26.7504 | − | 2.55436i | −0.846770 | − | 0.0808568i | ||||
\(999\) | 31.0353 | + | 29.5921i | 0.981914 | + | 0.936253i |
(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 | 322.2.o.b.171.6 | yes | 160 | |
7.5 | odd | 6 | inner | 322.2.o.b.33.6 | ✓ | 160 | |
23.7 | odd | 22 | inner | 322.2.o.b.283.6 | yes | 160 | |
161.145 | even | 66 | inner | 322.2.o.b.145.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.o.b.33.6 | ✓ | 160 | 7.5 | odd | 6 | inner | |
322.2.o.b.145.6 | yes | 160 | 161.145 | even | 66 | inner | |
322.2.o.b.171.6 | yes | 160 | 1.1 | even | 1 | trivial | |
322.2.o.b.283.6 | yes | 160 | 23.7 | odd | 22 | inner |