Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [527,2,Mod(35,527)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(527, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("527.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 527 = 17 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 527.h (of order \(5\), 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: | \(4.20811618652\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 256.10 | ||
Character | \(\chi\) | \(=\) | 527.256 |
Dual form | 527.2.h.c.35.10 |
$q$-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 \(\left(\mathbb{Z}/527\mathbb{Z}\right)^\times\).
\(n\) | \(156\) | \(375\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0792451 | + | 0.243891i | −0.0560348 | + | 0.172457i | −0.975157 | − | 0.221516i | \(-0.928900\pi\) |
0.919122 | + | 0.393973i | \(0.128900\pi\) | |||||||
\(3\) | 1.00279 | + | 3.08629i | 0.578964 | + | 1.78187i | 0.622266 | + | 0.782806i | \(0.286212\pi\) |
−0.0433025 | + | 0.999062i | \(0.513788\pi\) | |||||||
\(4\) | 1.56483 | + | 1.13692i | 0.782415 | + | 0.568458i | ||||
\(5\) | 3.14033 | 1.40440 | 0.702199 | − | 0.711981i | \(-0.252202\pi\) | ||||
0.702199 | + | 0.711981i | \(0.252202\pi\) | |||||||
\(6\) | −0.832185 | −0.339738 | ||||||||
\(7\) | −1.06954 | − | 0.777066i | −0.404248 | − | 0.293704i | 0.367021 | − | 0.930213i | \(-0.380378\pi\) |
−0.771269 | + | 0.636509i | \(0.780378\pi\) | |||||||
\(8\) | −0.816222 | + | 0.593020i | −0.288578 | + | 0.209664i | ||||
\(9\) | −6.09251 | + | 4.42647i | −2.03084 | + | 1.47549i | ||||
\(10\) | −0.248856 | + | 0.765899i | −0.0786951 | + | 0.242199i | ||||
\(11\) | −1.78612 | − | 1.29769i | −0.538535 | − | 0.391268i | 0.285006 | − | 0.958526i | \(-0.408004\pi\) |
−0.823541 | + | 0.567257i | \(0.808004\pi\) | |||||||
\(12\) | −1.93964 | + | 5.96961i | −0.559927 | + | 1.72328i | ||||
\(13\) | −1.08487 | − | 3.33887i | −0.300888 | − | 0.926037i | −0.981180 | − | 0.193096i | \(-0.938147\pi\) |
0.680292 | − | 0.732941i | \(-0.261853\pi\) | |||||||
\(14\) | 0.274276 | − | 0.199273i | 0.0733033 | − | 0.0532579i | ||||
\(15\) | 3.14911 | + | 9.69195i | 0.813096 | + | 2.50245i | ||||
\(16\) | 1.11547 | + | 3.43307i | 0.278868 | + | 0.858269i | ||||
\(17\) | −0.809017 | + | 0.587785i | −0.196215 | + | 0.142559i | ||||
\(18\) | −0.596776 | − | 1.83669i | −0.140661 | − | 0.432911i | ||||
\(19\) | 1.52428 | − | 4.69126i | 0.349694 | − | 1.07625i | −0.609328 | − | 0.792918i | \(-0.708561\pi\) |
0.959023 | − | 0.283330i | \(-0.0914391\pi\) | |||||||
\(20\) | 4.91408 | + | 3.57029i | 1.09882 | + | 0.798341i | ||||
\(21\) | 1.32572 | − | 4.08014i | 0.289296 | − | 0.890361i | ||||
\(22\) | 0.458037 | − | 0.332783i | 0.0976538 | − | 0.0709496i | ||||
\(23\) | 3.06681 | − | 2.22817i | 0.639475 | − | 0.464606i | −0.220195 | − | 0.975456i | \(-0.570669\pi\) |
0.859670 | + | 0.510850i | \(0.170669\pi\) | |||||||
\(24\) | −2.64873 | − | 1.92442i | −0.540670 | − | 0.392820i | ||||
\(25\) | 4.86167 | 0.972333 | ||||||||
\(26\) | 0.900293 | 0.176562 | ||||||||
\(27\) | −11.8948 | − | 8.64209i | −2.28916 | − | 1.66317i | ||||
\(28\) | −0.790190 | − | 2.43196i | −0.149332 | − | 0.459596i | ||||
\(29\) | 1.97713 | − | 6.08500i | 0.367145 | − | 1.12996i | −0.581482 | − | 0.813559i | \(-0.697527\pi\) |
0.948627 | − | 0.316396i | \(-0.102473\pi\) | |||||||
\(30\) | −2.61334 | −0.477128 | ||||||||
\(31\) | 3.97348 | + | 3.90019i | 0.713658 | + | 0.700494i | ||||
\(32\) | −2.94351 | −0.520343 | ||||||||
\(33\) | 2.21393 | − | 6.81379i | 0.385396 | − | 1.18613i | ||||
\(34\) | −0.0792451 | − | 0.243891i | −0.0135904 | − | 0.0418270i | ||||
\(35\) | −3.35871 | − | 2.44024i | −0.567725 | − | 0.412477i | ||||
\(36\) | −14.5663 | −2.42771 | ||||||||
\(37\) | 4.23745 | 0.696632 | 0.348316 | − | 0.937377i | \(-0.386754\pi\) | ||||
0.348316 | + | 0.937377i | \(0.386754\pi\) | |||||||
\(38\) | 1.02337 | + | 0.743518i | 0.166012 | + | 0.120615i | ||||
\(39\) | 9.21682 | − | 6.69641i | 1.47587 | − | 1.07228i | ||||
\(40\) | −2.56321 | + | 1.86228i | −0.405279 | + | 0.294452i | ||||
\(41\) | −0.843887 | + | 2.59722i | −0.131793 | + | 0.405617i | −0.995077 | − | 0.0991006i | \(-0.968403\pi\) |
0.863284 | + | 0.504718i | \(0.168403\pi\) | |||||||
\(42\) | 0.890056 | + | 0.646663i | 0.137339 | + | 0.0997823i | ||||
\(43\) | −1.52239 | + | 4.68544i | −0.232162 | + | 0.714523i | 0.765323 | + | 0.643647i | \(0.222579\pi\) |
−0.997485 | + | 0.0708759i | \(0.977421\pi\) | |||||||
\(44\) | −1.31961 | − | 4.06133i | −0.198938 | − | 0.612269i | ||||
\(45\) | −19.1325 | + | 13.9006i | −2.85210 | + | 2.07217i | ||||
\(46\) | 0.300402 | + | 0.924541i | 0.0442918 | + | 0.136316i | ||||
\(47\) | 2.43252 | + | 7.48653i | 0.354820 | + | 1.09202i | 0.956114 | + | 0.292995i | \(0.0946521\pi\) |
−0.601294 | + | 0.799028i | \(0.705348\pi\) | |||||||
\(48\) | −9.47685 | + | 6.88534i | −1.36787 | + | 0.993813i | ||||
\(49\) | −1.62303 | − | 4.99519i | −0.231862 | − | 0.713598i | ||||
\(50\) | −0.385263 | + | 1.18572i | −0.0544845 | + | 0.167686i | ||||
\(51\) | −2.62535 | − | 1.90743i | −0.367623 | − | 0.267094i | ||||
\(52\) | 2.09839 | − | 6.45817i | 0.290994 | − | 0.895587i | ||||
\(53\) | 5.68641 | − | 4.13142i | 0.781089 | − | 0.567494i | −0.124217 | − | 0.992255i | \(-0.539642\pi\) |
0.905305 | + | 0.424761i | \(0.139642\pi\) | |||||||
\(54\) | 3.05034 | − | 2.21620i | 0.415099 | − | 0.301587i | ||||
\(55\) | −5.60900 | − | 4.07518i | −0.756317 | − | 0.549497i | ||||
\(56\) | 1.33380 | 0.178236 | ||||||||
\(57\) | 16.0071 | 2.12019 | ||||||||
\(58\) | 1.32740 | + | 0.964413i | 0.174296 | + | 0.126634i | ||||
\(59\) | 2.12380 | + | 6.53639i | 0.276495 | + | 0.850965i | 0.988820 | + | 0.149115i | \(0.0476425\pi\) |
−0.712324 | + | 0.701850i | \(0.752358\pi\) | |||||||
\(60\) | −6.09112 | + | 18.7465i | −0.786360 | + | 2.42017i | ||||
\(61\) | −3.46089 | −0.443122 | −0.221561 | − | 0.975146i | \(-0.571115\pi\) | ||||
−0.221561 | + | 0.975146i | \(0.571115\pi\) | |||||||
\(62\) | −1.26610 | + | 0.660027i | −0.160795 | + | 0.0838235i | ||||
\(63\) | 9.95584 | 1.25432 | ||||||||
\(64\) | −1.99769 | + | 6.14825i | −0.249711 | + | 0.768532i | ||||
\(65\) | −3.40683 | − | 10.4852i | −0.422566 | − | 1.30052i | ||||
\(66\) | 1.48638 | + | 1.07992i | 0.182961 | + | 0.132929i | ||||
\(67\) | −14.3217 | −1.74967 | −0.874836 | − | 0.484419i | \(-0.839031\pi\) | ||||
−0.874836 | + | 0.484419i | \(0.839031\pi\) | |||||||
\(68\) | −1.93424 | −0.234561 | ||||||||
\(69\) | 9.95215 | + | 7.23066i | 1.19810 | + | 0.870470i | ||||
\(70\) | 0.861316 | − | 0.625783i | 0.102947 | − | 0.0747953i | ||||
\(71\) | −9.24974 | + | 6.72033i | −1.09774 | + | 0.797557i | −0.980690 | − | 0.195569i | \(-0.937345\pi\) |
−0.117053 | + | 0.993126i | \(0.537345\pi\) | |||||||
\(72\) | 2.34786 | − | 7.22596i | 0.276698 | − | 0.851588i | ||||
\(73\) | −11.5155 | − | 8.36648i | −1.34778 | − | 0.979222i | −0.999119 | − | 0.0419747i | \(-0.986635\pi\) |
−0.348665 | − | 0.937247i | \(-0.613365\pi\) | |||||||
\(74\) | −0.335797 | + | 1.03348i | −0.0390356 | + | 0.120139i | ||||
\(75\) | 4.87525 | + | 15.0045i | 0.562946 | + | 1.73257i | ||||
\(76\) | 7.71881 | − | 5.60804i | 0.885408 | − | 0.643286i | ||||
\(77\) | 0.901933 | + | 2.77586i | 0.102785 | + | 0.316339i | ||||
\(78\) | 0.902809 | + | 2.77856i | 0.102223 | + | 0.314610i | ||||
\(79\) | 7.19298 | − | 5.22601i | 0.809274 | − | 0.587972i | −0.104346 | − | 0.994541i | \(-0.533275\pi\) |
0.913620 | + | 0.406569i | \(0.133275\pi\) | |||||||
\(80\) | 3.50295 | + | 10.7810i | 0.391642 | + | 1.20535i | ||||
\(81\) | 7.76250 | − | 23.8905i | 0.862500 | − | 2.65450i | ||||
\(82\) | −0.566565 | − | 0.411634i | −0.0625667 | − | 0.0454573i | ||||
\(83\) | 2.15573 | − | 6.63467i | 0.236623 | − | 0.728249i | −0.760280 | − | 0.649596i | \(-0.774938\pi\) |
0.996902 | − | 0.0786532i | \(-0.0250620\pi\) | |||||||
\(84\) | 6.71331 | − | 4.87750i | 0.732482 | − | 0.532179i | ||||
\(85\) | −2.54058 | + | 1.84584i | −0.275565 | + | 0.200209i | ||||
\(86\) | −1.02210 | − | 0.742596i | −0.110215 | − | 0.0800762i | ||||
\(87\) | 20.7627 | 2.22599 | ||||||||
\(88\) | 2.22743 | 0.237444 | ||||||||
\(89\) | 11.7313 | + | 8.52331i | 1.24352 | + | 0.903469i | 0.997828 | − | 0.0658791i | \(-0.0209852\pi\) |
0.245691 | + | 0.969348i | \(0.420985\pi\) | |||||||
\(90\) | −1.87407 | − | 5.76780i | −0.197545 | − | 0.607979i | ||||
\(91\) | −1.43422 | + | 4.41407i | −0.150347 | + | 0.462720i | ||||
\(92\) | 7.33229 | 0.764444 | ||||||||
\(93\) | −8.05250 | + | 16.1744i | −0.835006 | + | 1.67721i | ||||
\(94\) | −2.01867 | −0.208210 | ||||||||
\(95\) | 4.78674 | − | 14.7321i | 0.491110 | − | 1.51148i | ||||
\(96\) | −2.95173 | − | 9.08450i | −0.301260 | − | 0.927183i | ||||
\(97\) | 2.05145 | + | 1.49047i | 0.208293 | + | 0.151334i | 0.687041 | − | 0.726618i | \(-0.258909\pi\) |
−0.478748 | + | 0.877952i | \(0.658909\pi\) | |||||||
\(98\) | 1.34690 | 0.136058 | ||||||||
\(99\) | 16.6261 | 1.67099 | ||||||||
\(100\) | 7.60768 | + | 5.52731i | 0.760768 | + | 0.552731i | ||||
\(101\) | −11.0678 | + | 8.04120i | −1.10128 | + | 0.800130i | −0.981269 | − | 0.192643i | \(-0.938294\pi\) |
−0.120015 | + | 0.992772i | \(0.538294\pi\) | |||||||
\(102\) | 0.673252 | − | 0.489146i | 0.0666619 | − | 0.0484327i | ||||
\(103\) | 2.69329 | − | 8.28908i | 0.265377 | − | 0.816748i | −0.726229 | − | 0.687453i | \(-0.758729\pi\) |
0.991606 | − | 0.129295i | \(-0.0412713\pi\) | |||||||
\(104\) | 2.86551 | + | 2.08192i | 0.280986 | + | 0.204149i | ||||
\(105\) | 4.16319 | − | 12.8130i | 0.406286 | − | 1.25042i | ||||
\(106\) | 0.556997 | + | 1.71426i | 0.0541004 | + | 0.166504i | ||||
\(107\) | −13.7335 | + | 9.97801i | −1.32767 | + | 0.964610i | −0.327870 | + | 0.944723i | \(0.606331\pi\) |
−0.999802 | + | 0.0198872i | \(0.993669\pi\) | |||||||
\(108\) | −8.78804 | − | 27.0468i | −0.845630 | − | 2.60258i | ||||
\(109\) | −2.05788 | − | 6.33351i | −0.197109 | − | 0.606640i | −0.999945 | − | 0.0104406i | \(-0.996677\pi\) |
0.802836 | − | 0.596200i | \(-0.203323\pi\) | |||||||
\(110\) | 1.43839 | − | 1.04505i | 0.137145 | − | 0.0996415i | ||||
\(111\) | 4.24929 | + | 13.0780i | 0.403325 | + | 1.24131i | ||||
\(112\) | 1.47468 | − | 4.53861i | 0.139344 | − | 0.428858i | ||||
\(113\) | −5.06261 | − | 3.67820i | −0.476250 | − | 0.346016i | 0.323622 | − | 0.946187i | \(-0.395099\pi\) |
−0.799872 | + | 0.600170i | \(0.795099\pi\) | |||||||
\(114\) | −1.26848 | + | 3.90399i | −0.118804 | + | 0.365642i | ||||
\(115\) | 9.63080 | − | 6.99719i | 0.898077 | − | 0.652491i | ||||
\(116\) | 10.0120 | − | 7.27415i | 0.929592 | − | 0.675388i | ||||
\(117\) | 21.3890 | + | 15.5400i | 1.97741 | + | 1.43667i | ||||
\(118\) | −1.76247 | −0.162249 | ||||||||
\(119\) | 1.32202 | 0.121190 | ||||||||
\(120\) | −8.31789 | − | 6.04330i | −0.759316 | − | 0.551676i | ||||
\(121\) | −1.89297 | − | 5.82596i | −0.172088 | − | 0.529633i | ||||
\(122\) | 0.274259 | − | 0.844083i | 0.0248303 | − | 0.0764197i | ||||
\(123\) | −8.86200 | −0.799060 | ||||||||
\(124\) | 1.78364 | + | 10.6206i | 0.160175 | + | 0.953762i | ||||
\(125\) | −0.434415 | −0.0388553 | ||||||||
\(126\) | −0.788952 | + | 2.42814i | −0.0702854 | + | 0.216316i | ||||
\(127\) | −0.554707 | − | 1.70721i | −0.0492223 | − | 0.151491i | 0.923424 | − | 0.383781i | \(-0.125378\pi\) |
−0.972647 | + | 0.232290i | \(0.925378\pi\) | |||||||
\(128\) | −6.10389 | − | 4.43474i | −0.539513 | − | 0.391979i | ||||
\(129\) | −15.9872 | −1.40760 | ||||||||
\(130\) | 2.82722 | 0.247963 | ||||||||
\(131\) | 7.21086 | + | 5.23900i | 0.630016 | + | 0.457733i | 0.856406 | − | 0.516303i | \(-0.172692\pi\) |
−0.226390 | + | 0.974037i | \(0.572692\pi\) | |||||||
\(132\) | 11.2111 | − | 8.14537i | 0.975804 | − | 0.708963i | ||||
\(133\) | −5.27570 | + | 3.83302i | −0.457461 | + | 0.332365i | ||||
\(134\) | 1.13492 | − | 3.49294i | 0.0980425 | − | 0.301744i | ||||
\(135\) | −37.3536 | − | 27.1390i | −3.21489 | − | 2.33575i | ||||
\(136\) | 0.311769 | − | 0.959527i | 0.0267340 | − | 0.0822787i | ||||
\(137\) | −0.694789 | − | 2.13834i | −0.0593599 | − | 0.182691i | 0.916980 | − | 0.398934i | \(-0.130620\pi\) |
−0.976340 | + | 0.216243i | \(0.930620\pi\) | |||||||
\(138\) | −2.55216 | + | 1.85425i | −0.217254 | + | 0.157844i | ||||
\(139\) | −0.241833 | − | 0.744284i | −0.0205120 | − | 0.0631294i | 0.940277 | − | 0.340411i | \(-0.110566\pi\) |
−0.960789 | + | 0.277282i | \(0.910566\pi\) | |||||||
\(140\) | −2.48146 | − | 7.63714i | −0.209721 | − | 0.645456i | ||||
\(141\) | −20.6663 | + | 15.0149i | −1.74041 | + | 1.26448i | ||||
\(142\) | −0.906035 | − | 2.78849i | −0.0760327 | − | 0.234005i | ||||
\(143\) | −2.39513 | + | 7.37144i | −0.200290 | + | 0.616431i | ||||
\(144\) | −21.9924 | − | 15.9784i | −1.83270 | − | 1.33154i | ||||
\(145\) | 6.20885 | − | 19.1089i | 0.515617 | − | 1.58691i | ||||
\(146\) | 2.95306 | − | 2.14552i | 0.244397 | − | 0.177565i | ||||
\(147\) | 13.7890 | − | 10.0183i | 1.13730 | − | 0.826295i | ||||
\(148\) | 6.63089 | + | 4.81762i | 0.545056 | + | 0.396006i | ||||
\(149\) | −14.3424 | −1.17497 | −0.587487 | − | 0.809234i | \(-0.699883\pi\) | ||||
−0.587487 | + | 0.809234i | \(0.699883\pi\) | |||||||
\(150\) | −4.04581 | −0.330339 | ||||||||
\(151\) | 10.5083 | + | 7.63474i | 0.855155 | + | 0.621306i | 0.926563 | − | 0.376141i | \(-0.122749\pi\) |
−0.0714075 | + | 0.997447i | \(0.522749\pi\) | |||||||
\(152\) | 1.53786 | + | 4.73304i | 0.124737 | + | 0.383900i | ||||
\(153\) | 2.32713 | − | 7.16217i | 0.188137 | − | 0.579027i | ||||
\(154\) | −0.748484 | −0.0603145 | ||||||||
\(155\) | 12.4780 | + | 12.2479i | 1.00226 | + | 0.983773i | ||||
\(156\) | 22.0360 | 1.76429 | ||||||||
\(157\) | 6.73239 | − | 20.7202i | 0.537303 | − | 1.65365i | −0.201315 | − | 0.979526i | \(-0.564522\pi\) |
0.738619 | − | 0.674123i | \(-0.235478\pi\) | |||||||
\(158\) | 0.704570 | + | 2.16844i | 0.0560525 | + | 0.172512i | ||||
\(159\) | 18.4530 | + | 13.4069i | 1.46342 | + | 1.06324i | ||||
\(160\) | −9.24358 | −0.730769 | ||||||||
\(161\) | −5.01152 | −0.394963 | ||||||||
\(162\) | 5.21156 | + | 3.78642i | 0.409458 | + | 0.297489i | ||||
\(163\) | 4.38296 | − | 3.18441i | 0.343300 | − | 0.249422i | −0.402753 | − | 0.915309i | \(-0.631947\pi\) |
0.746053 | + | 0.665887i | \(0.231947\pi\) | |||||||
\(164\) | −4.27336 | + | 3.10478i | −0.333693 | + | 0.242442i | ||||
\(165\) | 6.95248 | − | 21.3975i | 0.541250 | − | 1.66580i | ||||
\(166\) | 1.44731 | + | 1.05153i | 0.112333 | + | 0.0816146i | ||||
\(167\) | −5.77583 | + | 17.7762i | −0.446947 | + | 1.37556i | 0.433386 | + | 0.901208i | \(0.357319\pi\) |
−0.880334 | + | 0.474355i | \(0.842681\pi\) | |||||||
\(168\) | 1.33753 | + | 4.11648i | 0.103192 | + | 0.317594i | ||||
\(169\) | 0.546084 | − | 0.396754i | 0.0420065 | − | 0.0305195i | ||||
\(170\) | −0.248856 | − | 0.765899i | −0.0190864 | − | 0.0587418i | ||||
\(171\) | 11.4790 | + | 35.3287i | 0.877820 | + | 2.70165i | ||||
\(172\) | −7.70924 | + | 5.60109i | −0.587824 | + | 0.427079i | ||||
\(173\) | −1.97512 | − | 6.07880i | −0.150166 | − | 0.462162i | 0.847473 | − | 0.530838i | \(-0.178123\pi\) |
−0.997639 | + | 0.0686755i | \(0.978123\pi\) | |||||||
\(174\) | −1.64534 | + | 5.06384i | −0.124733 | + | 0.383889i | ||||
\(175\) | −5.19975 | − | 3.77784i | −0.393064 | − | 0.285578i | ||||
\(176\) | 2.46270 | − | 7.57941i | 0.185633 | − | 0.571320i | ||||
\(177\) | −18.0434 | + | 13.1093i | −1.35623 | + | 0.985356i | ||||
\(178\) | −3.00841 | + | 2.18574i | −0.225490 | + | 0.163828i | ||||
\(179\) | 2.44842 | + | 1.77888i | 0.183004 | + | 0.132960i | 0.675516 | − | 0.737346i | \(-0.263921\pi\) |
−0.492512 | + | 0.870306i | \(0.663921\pi\) | |||||||
\(180\) | −45.7429 | −3.40947 | ||||||||
\(181\) | 11.8818 | 0.883168 | 0.441584 | − | 0.897220i | \(-0.354417\pi\) | ||||
0.441584 | + | 0.897220i | \(0.354417\pi\) | |||||||
\(182\) | −0.962899 | − | 0.699587i | −0.0713749 | − | 0.0518569i | ||||
\(183\) | −3.47057 | − | 10.6813i | −0.256552 | − | 0.789585i | ||||
\(184\) | −1.18185 | + | 3.63736i | −0.0871272 | + | 0.268150i | ||||
\(185\) | 13.3070 | 0.978349 | ||||||||
\(186\) | −3.30667 | − | 3.24568i | −0.242457 | − | 0.237985i | ||||
\(187\) | 2.20776 | 0.161448 | ||||||||
\(188\) | −4.70508 | + | 14.4807i | −0.343153 | + | 1.05612i | ||||
\(189\) | 6.00651 | + | 18.4861i | 0.436909 | + | 1.34467i | ||||
\(190\) | 3.21370 | + | 2.33489i | 0.233147 | + | 0.169391i | ||||
\(191\) | 23.3163 | 1.68711 | 0.843554 | − | 0.537044i | \(-0.180459\pi\) | ||||
0.843554 | + | 0.537044i | \(0.180459\pi\) | |||||||
\(192\) | −20.9785 | −1.51400 | ||||||||
\(193\) | −14.3126 | − | 10.3987i | −1.03025 | − | 0.748517i | −0.0618876 | − | 0.998083i | \(-0.519712\pi\) |
−0.968358 | + | 0.249566i | \(0.919712\pi\) | |||||||
\(194\) | −0.526080 | + | 0.382219i | −0.0377703 | + | 0.0274418i | ||||
\(195\) | 28.9438 | − | 21.0289i | 2.07271 | − | 1.50591i | ||||
\(196\) | 3.13933 | − | 9.66188i | 0.224238 | − | 0.690134i | ||||
\(197\) | 12.4288 | + | 9.03003i | 0.885513 | + | 0.643363i | 0.934704 | − | 0.355426i | \(-0.115664\pi\) |
−0.0491909 | + | 0.998789i | \(0.515664\pi\) | |||||||
\(198\) | −1.31754 | + | 4.05497i | −0.0936334 | + | 0.288174i | ||||
\(199\) | 1.55012 | + | 4.77079i | 0.109885 | + | 0.338192i | 0.990846 | − | 0.134997i | \(-0.0431026\pi\) |
−0.880961 | + | 0.473190i | \(0.843103\pi\) | |||||||
\(200\) | −3.96820 | + | 2.88307i | −0.280594 | + | 0.203864i | ||||
\(201\) | −14.3617 | − | 44.2008i | −1.01300 | − | 3.11768i | ||||
\(202\) | −1.08411 | − | 3.33656i | −0.0762780 | − | 0.234760i | ||||
\(203\) | −6.84307 | + | 4.97178i | −0.480289 | + | 0.348951i | ||||
\(204\) | −1.93964 | − | 5.96961i | −0.135802 | − | 0.417956i | ||||
\(205\) | −2.65008 | + | 8.15612i | −0.185090 | + | 0.569648i | ||||
\(206\) | 1.80821 | + | 1.31374i | 0.125984 | + | 0.0915325i | ||||
\(207\) | −8.82166 | + | 27.1503i | −0.613148 | + | 1.88708i | ||||
\(208\) | 10.2525 | − | 7.44885i | 0.710880 | − | 0.516485i | ||||
\(209\) | −8.81034 | + | 6.40109i | −0.609424 | + | 0.442773i | ||||
\(210\) | 2.79507 | + | 2.03074i | 0.192878 | + | 0.140134i | ||||
\(211\) | −3.43110 | −0.236207 | −0.118103 | − | 0.993001i | \(-0.537681\pi\) | ||||
−0.118103 | + | 0.993001i | \(0.537681\pi\) | |||||||
\(212\) | 13.5953 | 0.933732 | ||||||||
\(213\) | −30.0165 | − | 21.8082i | −2.05669 | − | 1.49428i | ||||
\(214\) | −1.34523 | − | 4.14020i | −0.0919583 | − | 0.283018i | ||||
\(215\) | −4.78081 | + | 14.7138i | −0.326049 | + | 1.00347i | ||||
\(216\) | 14.8338 | 1.00931 | ||||||||
\(217\) | −1.21909 | − | 7.25907i | −0.0827574 | − | 0.492777i | ||||
\(218\) | 1.70777 | 0.115665 | ||||||||
\(219\) | 14.2737 | − | 43.9299i | 0.964526 | − | 2.96851i | ||||
\(220\) | −4.14400 | − | 12.7539i | −0.279388 | − | 0.859869i | ||||
\(221\) | 2.84021 | + | 2.06354i | 0.191054 | + | 0.138808i | ||||
\(222\) | −3.52634 | −0.236673 | ||||||||
\(223\) | −18.6020 | −1.24568 | −0.622842 | − | 0.782348i | \(-0.714022\pi\) | ||||
−0.622842 | + | 0.782348i | \(0.714022\pi\) | |||||||
\(224\) | 3.14820 | + | 2.28730i | 0.210348 | + | 0.152827i | ||||
\(225\) | −29.6197 | + | 21.5200i | −1.97465 | + | 1.43467i | ||||
\(226\) | 1.29827 | − | 0.943248i | 0.0863596 | − | 0.0627439i | ||||
\(227\) | −7.62890 | + | 23.4793i | −0.506348 | + | 1.55838i | 0.292146 | + | 0.956374i | \(0.405631\pi\) |
−0.798493 | + | 0.602004i | \(0.794369\pi\) | |||||||
\(228\) | 25.0484 | + | 18.1987i | 1.65887 | + | 1.20524i | ||||
\(229\) | 5.86012 | − | 18.0356i | 0.387248 | − | 1.19183i | −0.547589 | − | 0.836748i | \(-0.684454\pi\) |
0.934836 | − | 0.355079i | \(-0.115546\pi\) | |||||||
\(230\) | 0.943360 | + | 2.90336i | 0.0622033 | + | 0.191442i | ||||
\(231\) | −7.66266 | + | 5.56725i | −0.504166 | + | 0.366298i | ||||
\(232\) | 1.99474 | + | 6.13919i | 0.130961 | + | 0.403058i | ||||
\(233\) | 0.904197 | + | 2.78283i | 0.0592359 | + | 0.182309i | 0.976296 | − | 0.216440i | \(-0.0694444\pi\) |
−0.917060 | + | 0.398749i | \(0.869444\pi\) | |||||||
\(234\) | −5.48504 | + | 3.98512i | −0.358568 | + | 0.260515i | ||||
\(235\) | 7.63892 | + | 23.5102i | 0.498308 | + | 1.53364i | ||||
\(236\) | −4.10794 | + | 12.6429i | −0.267404 | + | 0.822984i | ||||
\(237\) | 23.3420 | + | 16.9590i | 1.51623 | + | 1.10160i | ||||
\(238\) | −0.104764 | + | 0.322430i | −0.00679084 | + | 0.0209001i | ||||
\(239\) | −0.938207 | + | 0.681648i | −0.0606876 | + | 0.0440921i | −0.617715 | − | 0.786402i | \(-0.711942\pi\) |
0.557028 | + | 0.830494i | \(0.311942\pi\) | |||||||
\(240\) | −29.7604 | + | 21.6222i | −1.92103 | + | 1.39571i | ||||
\(241\) | 15.2882 | + | 11.1075i | 0.984798 | + | 0.715498i | 0.958776 | − | 0.284164i | \(-0.0917160\pi\) |
0.0260221 | + | 0.999661i | \(0.491716\pi\) | |||||||
\(242\) | 1.57091 | 0.100982 | ||||||||
\(243\) | 37.4088 | 2.39977 | ||||||||
\(244\) | −5.41571 | − | 3.93475i | −0.346706 | − | 0.251896i | ||||
\(245\) | −5.09686 | − | 15.6865i | −0.325627 | − | 1.00218i | ||||
\(246\) | 0.702270 | − | 2.16137i | 0.0447751 | − | 0.137804i | ||||
\(247\) | −17.3171 | −1.10186 | ||||||||
\(248\) | −5.55613 | − | 0.827065i | −0.352815 | − | 0.0525187i | ||||
\(249\) | 22.6382 | 1.43464 | ||||||||
\(250\) | 0.0344253 | − | 0.105950i | 0.00217725 | − | 0.00670087i | ||||
\(251\) | −3.06680 | − | 9.43865i | −0.193575 | − | 0.595763i | −0.999990 | − | 0.00441292i | \(-0.998595\pi\) |
0.806415 | − | 0.591350i | \(-0.201405\pi\) | |||||||
\(252\) | 15.5792 | + | 11.3190i | 0.981398 | + | 0.713027i | ||||
\(253\) | −8.36917 | −0.526165 | ||||||||
\(254\) | 0.460332 | 0.0288838 | ||||||||
\(255\) | −8.24447 | − | 5.98995i | −0.516288 | − | 0.375106i | ||||
\(256\) | −8.89473 | + | 6.46240i | −0.555921 | + | 0.403900i | ||||
\(257\) | 21.0434 | − | 15.2889i | 1.31265 | − | 0.953695i | 0.312656 | − | 0.949867i | \(-0.398781\pi\) |
0.999993 | − | 0.00382820i | \(-0.00121856\pi\) | |||||||
\(258\) | 1.26691 | − | 3.89915i | 0.0788745 | − | 0.242751i | ||||
\(259\) | −4.53212 | − | 3.29278i | −0.281612 | − | 0.204603i | ||||
\(260\) | 6.58963 | − | 20.2808i | 0.408671 | − | 1.25776i | ||||
\(261\) | 14.8893 | + | 45.8246i | 0.921625 | + | 2.83647i | ||||
\(262\) | −1.84917 | + | 1.34350i | −0.114242 | + | 0.0830019i | ||||
\(263\) | 3.72716 | + | 11.4710i | 0.229826 | + | 0.707333i | 0.997766 | + | 0.0668103i | \(0.0212822\pi\) |
−0.767939 | + | 0.640523i | \(0.778718\pi\) | |||||||
\(264\) | 2.23365 | + | 6.87447i | 0.137472 | + | 0.423095i | ||||
\(265\) | 17.8572 | − | 12.9740i | 1.09696 | − | 0.796987i | ||||
\(266\) | −0.516767 | − | 1.59045i | −0.0316850 | − | 0.0975165i | ||||
\(267\) | −14.5412 | + | 44.7534i | −0.889910 | + | 2.73886i | ||||
\(268\) | −22.4110 | − | 16.2825i | −1.36897 | − | 0.994615i | ||||
\(269\) | 6.04098 | − | 18.5922i | 0.368325 | − | 1.13359i | −0.579548 | − | 0.814938i | \(-0.696771\pi\) |
0.947873 | − | 0.318649i | \(-0.103229\pi\) | |||||||
\(270\) | 9.57907 | − | 6.95960i | 0.582963 | − | 0.423548i | ||||
\(271\) | 14.9993 | − | 10.8976i | 0.911142 | − | 0.661983i | −0.0301615 | − | 0.999545i | \(-0.509602\pi\) |
0.941303 | + | 0.337562i | \(0.109602\pi\) | |||||||
\(272\) | −2.92035 | − | 2.12176i | −0.177072 | − | 0.128650i | ||||
\(273\) | −15.0613 | −0.911552 | ||||||||
\(274\) | 0.576582 | 0.0348326 | ||||||||
\(275\) | −8.68351 | − | 6.30894i | −0.523635 | − | 0.380443i | ||||
\(276\) | 7.35278 | + | 22.6295i | 0.442585 | + | 1.36214i | ||||
\(277\) | −5.66377 | + | 17.4313i | −0.340303 | + | 1.04734i | 0.623748 | + | 0.781626i | \(0.285609\pi\) |
−0.964051 | + | 0.265719i | \(0.914391\pi\) | |||||||
\(278\) | 0.200689 | 0.0120365 | ||||||||
\(279\) | −41.4725 | − | 6.17344i | −2.48289 | − | 0.369594i | ||||
\(280\) | 4.18857 | 0.250315 | ||||||||
\(281\) | −1.60011 | + | 4.92463i | −0.0954546 | + | 0.293779i | −0.987372 | − | 0.158420i | \(-0.949360\pi\) |
0.891917 | + | 0.452199i | \(0.149360\pi\) | |||||||
\(282\) | −2.02431 | − | 6.23018i | −0.120546 | − | 0.371002i | ||||
\(283\) | 0.948040 | + | 0.688791i | 0.0563551 | + | 0.0409444i | 0.615606 | − | 0.788054i | \(-0.288911\pi\) |
−0.559251 | + | 0.828998i | \(0.688911\pi\) | |||||||
\(284\) | −22.1147 | −1.31227 | ||||||||
\(285\) | 50.2675 | 2.97759 | ||||||||
\(286\) | −1.60803 | − | 1.16830i | −0.0950848 | − | 0.0690831i | ||||
\(287\) | 2.92078 | − | 2.12207i | 0.172408 | − | 0.125262i | ||||
\(288\) | 17.9333 | − | 13.0293i | 1.05673 | − | 0.767761i | ||||
\(289\) | 0.309017 | − | 0.951057i | 0.0181775 | − | 0.0559445i | ||||
\(290\) | 4.16847 | + | 3.02857i | 0.244781 | + | 0.177844i | ||||
\(291\) | −2.54282 | + | 7.82600i | −0.149063 | + | 0.458768i | ||||
\(292\) | −8.50778 | − | 26.1842i | −0.497880 | − | 1.53232i | ||||
\(293\) | −15.6458 | + | 11.3673i | −0.914038 | + | 0.664088i | −0.942033 | − | 0.335520i | \(-0.891088\pi\) |
0.0279948 | + | 0.999608i | \(0.491088\pi\) | |||||||
\(294\) | 1.35067 | + | 4.15692i | 0.0787724 | + | 0.242437i | ||||
\(295\) | 6.66944 | + | 20.5264i | 0.388310 | + | 1.19509i | ||||
\(296\) | −3.45870 | + | 2.51289i | −0.201033 | + | 0.146059i | ||||
\(297\) | 10.0308 | + | 30.8716i | 0.582045 | + | 1.79135i | ||||
\(298\) | 1.13656 | − | 3.49798i | 0.0658394 | − | 0.202633i | ||||
\(299\) | −10.7667 | − | 7.82243i | −0.622652 | − | 0.452383i | ||||
\(300\) | −9.42990 | + | 29.0222i | −0.544435 | + | 1.67560i | ||||
\(301\) | 5.26916 | − | 3.82827i | 0.303709 | − | 0.220658i | ||||
\(302\) | −2.69478 | + | 1.95787i | −0.155067 | + | 0.112663i | ||||
\(303\) | −35.9161 | − | 26.0946i | −2.06333 | − | 1.49910i | ||||
\(304\) | 17.8057 | 1.02123 | ||||||||
\(305\) | −10.8683 | −0.622320 | ||||||||
\(306\) | 1.56238 | + | 1.13513i | 0.0893153 | + | 0.0648913i | ||||
\(307\) | −0.477941 | − | 1.47095i | −0.0272775 | − | 0.0839516i | 0.936491 | − | 0.350692i | \(-0.114053\pi\) |
−0.963769 | + | 0.266740i | \(0.914053\pi\) | |||||||
\(308\) | −1.74455 | + | 5.36918i | −0.0994051 | + | 0.305937i | ||||
\(309\) | 28.2833 | 1.60898 | ||||||||
\(310\) | −3.97597 | + | 2.07270i | −0.225820 | + | 0.117722i | ||||
\(311\) | −25.9534 | −1.47168 | −0.735840 | − | 0.677156i | \(-0.763212\pi\) | ||||
−0.735840 | + | 0.677156i | \(0.763212\pi\) | |||||||
\(312\) | −3.55186 | + | 10.9315i | −0.201085 | + | 0.618875i | ||||
\(313\) | 8.71696 | + | 26.8280i | 0.492711 | + | 1.51641i | 0.820493 | + | 0.571657i | \(0.193699\pi\) |
−0.327782 | + | 0.944754i | \(0.606301\pi\) | |||||||
\(314\) | 4.51996 | + | 3.28395i | 0.255076 | + | 0.185324i | ||||
\(315\) | 31.2646 | 1.76156 | ||||||||
\(316\) | 17.1973 | 0.967425 | ||||||||
\(317\) | −11.2071 | − | 8.14240i | −0.629451 | − | 0.457323i | 0.226759 | − | 0.973951i | \(-0.427187\pi\) |
−0.856210 | + | 0.516628i | \(0.827187\pi\) | |||||||
\(318\) | −4.73215 | + | 3.43811i | −0.265366 | + | 0.192799i | ||||
\(319\) | −11.4278 | + | 8.30281i | −0.639836 | + | 0.464868i | ||||
\(320\) | −6.27340 | + | 19.3075i | −0.350694 | + | 1.07932i | ||||
\(321\) | −44.5669 | − | 32.3797i | −2.48748 | − | 1.80726i | ||||
\(322\) | 0.397138 | − | 1.22227i | 0.0221317 | − | 0.0681142i | ||||
\(323\) | 1.52428 | + | 4.69126i | 0.0848133 | + | 0.261028i | ||||
\(324\) | 39.3085 | − | 28.5593i | 2.18381 | − | 1.58663i | ||||
\(325\) | −5.27425 | − | 16.2325i | −0.292563 | − | 0.900416i | ||||
\(326\) | 0.429321 | + | 1.32132i | 0.0237779 | + | 0.0731809i | ||||
\(327\) | 17.4834 | − | 12.7024i | 0.966834 | − | 0.702446i | ||||
\(328\) | −0.851403 | − | 2.62035i | −0.0470109 | − | 0.144685i | ||||
\(329\) | 3.21585 | − | 9.89738i | 0.177296 | − | 0.545660i | ||||
\(330\) | 4.66773 | + | 3.39130i | 0.256950 | + | 0.186685i | ||||
\(331\) | 8.47236 | − | 26.0752i | 0.465683 | − | 1.43322i | −0.392439 | − | 0.919778i | \(-0.628369\pi\) |
0.858122 | − | 0.513446i | \(-0.171631\pi\) | |||||||
\(332\) | 10.9164 | − | 7.93124i | 0.599116 | − | 0.435283i | ||||
\(333\) | −25.8167 | + | 18.7569i | −1.41475 | + | 1.02787i | ||||
\(334\) | −3.87775 | − | 2.81735i | −0.212181 | − | 0.154159i | ||||
\(335\) | −44.9748 | −2.45724 | ||||||||
\(336\) | 15.4862 | 0.844844 | ||||||||
\(337\) | −26.1181 | − | 18.9759i | −1.42274 | − | 1.03368i | −0.991311 | − | 0.131535i | \(-0.958009\pi\) |
−0.431430 | − | 0.902147i | \(-0.641991\pi\) | |||||||
\(338\) | 0.0534903 | + | 0.164626i | 0.00290949 | + | 0.00895448i | ||||
\(339\) | 6.27522 | − | 19.3131i | 0.340823 | − | 1.04895i | ||||
\(340\) | −6.07414 | −0.329417 | ||||||||
\(341\) | −2.03587 | − | 12.1225i | −0.110248 | − | 0.656472i | ||||
\(342\) | −9.52602 | −0.515108 | ||||||||
\(343\) | −5.00539 | + | 15.4050i | −0.270266 | + | 0.831792i | ||||
\(344\) | −1.53595 | − | 4.72717i | −0.0828129 | − | 0.254872i | ||||
\(345\) | 31.2530 | + | 22.7067i | 1.68261 | + | 1.22249i | ||||
\(346\) | 1.63909 | 0.0881178 | ||||||||
\(347\) | 9.67320 | 0.519284 | 0.259642 | − | 0.965705i | \(-0.416395\pi\) | ||||
0.259642 | + | 0.965705i | \(0.416395\pi\) | |||||||
\(348\) | 32.4901 | + | 23.6054i | 1.74165 | + | 1.26538i | ||||
\(349\) | −9.89480 | + | 7.18899i | −0.529656 | + | 0.384818i | −0.820229 | − | 0.572035i | \(-0.806154\pi\) |
0.290573 | + | 0.956853i | \(0.406154\pi\) | |||||||
\(350\) | 1.33344 | − | 0.968799i | 0.0712752 | − | 0.0517845i | ||||
\(351\) | −15.9506 | + | 49.0908i | −0.851378 | + | 2.62027i | ||||
\(352\) | 5.25745 | + | 3.81976i | 0.280223 | + | 0.203594i | ||||
\(353\) | 2.14467 | − | 6.60062i | 0.114149 | − | 0.351316i | −0.877619 | − | 0.479358i | \(-0.840869\pi\) |
0.991769 | + | 0.128043i | \(0.0408695\pi\) | |||||||
\(354\) | −1.76740 | − | 5.43949i | −0.0939361 | − | 0.289105i | ||||
\(355\) | −29.0472 | + | 21.1041i | −1.54167 | + | 1.12009i | ||||
\(356\) | 8.66726 | + | 26.6751i | 0.459364 | + | 1.41378i | ||||
\(357\) | 1.32572 | + | 4.08014i | 0.0701645 | + | 0.215944i | ||||
\(358\) | −0.627880 | + | 0.456182i | −0.0331845 | + | 0.0241100i | ||||
\(359\) | 7.69072 | + | 23.6696i | 0.405901 | + | 1.24923i | 0.920141 | + | 0.391588i | \(0.128074\pi\) |
−0.514240 | + | 0.857646i | \(0.671926\pi\) | |||||||
\(360\) | 7.37304 | − | 22.6919i | 0.388593 | − | 1.19597i | ||||
\(361\) | −4.31312 | − | 3.13366i | −0.227006 | − | 0.164930i | ||||
\(362\) | −0.941576 | + | 2.89787i | −0.0494881 | + | 0.152309i | ||||
\(363\) | 16.0823 | − | 11.6845i | 0.844103 | − | 0.613277i | ||||
\(364\) | −7.26274 | + | 5.27669i | −0.380671 | + | 0.276574i | ||||
\(365\) | −36.1624 | − | 26.2735i | −1.89282 | − | 1.37522i | ||||
\(366\) | 2.88011 | 0.150546 | ||||||||
\(367\) | −17.6504 | −0.921344 | −0.460672 | − | 0.887571i | \(-0.652392\pi\) | ||||
−0.460672 | + | 0.887571i | \(0.652392\pi\) | |||||||
\(368\) | 11.0704 | + | 8.04313i | 0.577086 | + | 0.419277i | ||||
\(369\) | −6.35511 | − | 19.5590i | −0.330834 | − | 1.01820i | ||||
\(370\) | −1.05451 | + | 3.24546i | −0.0548216 | + | 0.168723i | ||||
\(371\) | −9.29223 | −0.482429 | ||||||||
\(372\) | −30.9897 | + | 16.1551i | −1.60674 | + | 0.837605i | ||||
\(373\) | −5.10751 | −0.264457 | −0.132228 | − | 0.991219i | \(-0.542213\pi\) | ||||
−0.132228 | + | 0.991219i | \(0.542213\pi\) | |||||||
\(374\) | −0.174955 | + | 0.538455i | −0.00904668 | + | 0.0278428i | ||||
\(375\) | −0.435629 | − | 1.34073i | −0.0224958 | − | 0.0692349i | ||||
\(376\) | −6.42515 | − | 4.66814i | −0.331352 | − | 0.240741i | ||||
\(377\) | −22.4619 | −1.15685 | ||||||||
\(378\) | −4.98460 | −0.256380 | ||||||||
\(379\) | 18.3128 | + | 13.3050i | 0.940665 | + | 0.683433i | 0.948581 | − | 0.316535i | \(-0.102520\pi\) |
−0.00791533 | + | 0.999969i | \(0.502520\pi\) | |||||||
\(380\) | 24.2396 | − | 17.6111i | 1.24346 | − | 0.903430i | ||||
\(381\) | 4.71269 | − | 3.42397i | 0.241438 | − | 0.175415i | ||||
\(382\) | −1.84770 | + | 5.68665i | −0.0945367 | + | 0.290954i | ||||
\(383\) | −8.42497 | − | 6.12110i | −0.430496 | − | 0.312774i | 0.351351 | − | 0.936244i | \(-0.385722\pi\) |
−0.781847 | + | 0.623470i | \(0.785722\pi\) | |||||||
\(384\) | 7.56591 | − | 23.2855i | 0.386096 | − | 1.18828i | ||||
\(385\) | 2.83237 | + | 8.71713i | 0.144351 | + | 0.444266i | ||||
\(386\) | 3.67037 | − | 2.66668i | 0.186817 | − | 0.135730i | ||||
\(387\) | −11.4648 | − | 35.2849i | −0.582786 | − | 1.79363i | ||||
\(388\) | 1.51564 | + | 4.66466i | 0.0769449 | + | 0.236812i | ||||
\(389\) | −0.171621 | + | 0.124690i | −0.00870151 | + | 0.00632202i | −0.592128 | − | 0.805844i | \(-0.701712\pi\) |
0.583426 | + | 0.812166i | \(0.301712\pi\) | |||||||
\(390\) | 2.83512 | + | 8.72559i | 0.143562 | + | 0.441838i | ||||
\(391\) | −1.17142 | + | 3.60526i | −0.0592412 | + | 0.182326i | ||||
\(392\) | 4.28700 | + | 3.11469i | 0.216526 | + | 0.157316i | ||||
\(393\) | −8.93803 | + | 27.5084i | −0.450864 | + | 1.38762i | ||||
\(394\) | −3.18727 | + | 2.31569i | −0.160572 | + | 0.116663i | ||||
\(395\) | 22.5883 | − | 16.4114i | 1.13654 | − | 0.825746i | ||||
\(396\) | 26.0171 | + | 18.9025i | 1.30741 | + | 0.949887i | ||||
\(397\) | −28.7535 | −1.44310 | −0.721549 | − | 0.692363i | \(-0.756570\pi\) | ||||
−0.721549 | + | 0.692363i | \(0.756570\pi\) | |||||||
\(398\) | −1.28639 | −0.0644811 | ||||||||
\(399\) | −17.1202 | − | 12.4386i | −0.857084 | − | 0.622708i | ||||
\(400\) | 5.42306 | + | 16.6905i | 0.271153 | + | 0.834523i | ||||
\(401\) | 8.18870 | − | 25.2022i | 0.408924 | − | 1.25854i | −0.508649 | − | 0.860974i | \(-0.669855\pi\) |
0.917574 | − | 0.397566i | \(-0.130145\pi\) | |||||||
\(402\) | 11.9183 | 0.594430 | ||||||||
\(403\) | 8.71154 | − | 17.4981i | 0.433952 | − | 0.871643i | ||||
\(404\) | −26.4614 | −1.31650 | ||||||||
\(405\) | 24.3768 | − | 75.0241i | 1.21129 | − | 3.72798i | ||||
\(406\) | −0.670295 | − | 2.06296i | −0.0332662 | − | 0.102383i | ||||
\(407\) | −7.56858 | − | 5.49890i | −0.375161 | − | 0.272570i | ||||
\(408\) | 3.27401 | 0.162088 | ||||||||
\(409\) | −18.8501 | −0.932076 | −0.466038 | − | 0.884765i | \(-0.654319\pi\) | ||||
−0.466038 | + | 0.884765i | \(0.654319\pi\) | |||||||
\(410\) | −1.77920 | − | 1.29267i | −0.0878685 | − | 0.0638402i | ||||
\(411\) | 5.90280 | − | 4.28864i | 0.291164 | − | 0.211543i | ||||
\(412\) | 13.6385 | − | 9.90897i | 0.671922 | − | 0.488180i | ||||
\(413\) | 2.80772 | − | 8.64127i | 0.138159 | − | 0.425209i | ||||
\(414\) | −5.92265 | − | 4.30306i | −0.291082 | − | 0.211484i | ||||
\(415\) | 6.76971 | − | 20.8350i | 0.332312 | − | 1.02275i | ||||
\(416\) | 3.19331 | + | 9.82799i | 0.156565 | + | 0.481857i | ||||
\(417\) | 2.05457 | − | 1.49273i | 0.100613 | − | 0.0730993i | ||||
\(418\) | −0.862994 | − | 2.65602i | −0.0422104 | − | 0.129910i | ||||
\(419\) | 3.02629 | + | 9.31397i | 0.147844 | + | 0.455017i | 0.997366 | − | 0.0725365i | \(-0.0231094\pi\) |
−0.849522 | + | 0.527554i | \(0.823109\pi\) | |||||||
\(420\) | 21.0820 | − | 15.3170i | 1.02870 | − | 0.747391i | ||||
\(421\) | −4.70700 | − | 14.4867i | −0.229405 | − | 0.706037i | −0.997814 | − | 0.0660781i | \(-0.978951\pi\) |
0.768409 | − | 0.639959i | \(-0.221049\pi\) | |||||||
\(422\) | 0.271898 | − | 0.836817i | 0.0132358 | − | 0.0407356i | ||||
\(423\) | −47.9591 | − | 34.8443i | −2.33185 | − | 1.69419i | ||||
\(424\) | −2.19136 | + | 6.74431i | −0.106422 | + | 0.327533i | ||||
\(425\) | −3.93317 | + | 2.85762i | −0.190787 | + | 0.138615i | ||||
\(426\) | 7.69750 | − | 5.59256i | 0.372945 | − | 0.270961i | ||||
\(427\) | 3.70157 | + | 2.68935i | 0.179131 | + | 0.130147i | ||||
\(428\) | −32.8348 | −1.58713 | ||||||||
\(429\) | −25.1522 | −1.21436 | ||||||||
\(430\) | −3.20972 | − | 2.33200i | −0.154786 | − | 0.112459i | ||||
\(431\) | 2.53639 | + | 7.80622i | 0.122174 | + | 0.376012i | 0.993376 | − | 0.114913i | \(-0.0366589\pi\) |
−0.871202 | + | 0.490925i | \(0.836659\pi\) | |||||||
\(432\) | 16.4006 | − | 50.4758i | 0.789074 | − | 2.42852i | ||||
\(433\) | −27.8717 | −1.33943 | −0.669713 | − | 0.742620i | \(-0.733583\pi\) | ||||
−0.669713 | + | 0.742620i | \(0.733583\pi\) | |||||||
\(434\) | 1.86703 | + | 0.277919i | 0.0896204 | + | 0.0133406i | ||||
\(435\) | 65.2017 | 3.12618 | ||||||||
\(436\) | 3.98043 | − | 12.2505i | 0.190628 | − | 0.586693i | ||||
\(437\) | −5.77823 | − | 17.7836i | −0.276410 | − | 0.850703i | ||||
\(438\) | 9.58300 | + | 6.96246i | 0.457894 | + | 0.332679i | ||||
\(439\) | 39.8032 | 1.89970 | 0.949851 | − | 0.312703i | \(-0.101234\pi\) | ||||
0.949851 | + | 0.312703i | \(0.101234\pi\) | |||||||
\(440\) | 6.99485 | 0.333466 | ||||||||
\(441\) | 31.9994 | + | 23.2489i | 1.52378 | + | 1.10709i | ||||
\(442\) | −0.728352 | + | 0.529179i | −0.0346442 | + | 0.0251705i | ||||
\(443\) | 7.66369 | − | 5.56799i | 0.364113 | − | 0.264543i | −0.390653 | − | 0.920538i | \(-0.627751\pi\) |
0.754765 | + | 0.655995i | \(0.227751\pi\) | |||||||
\(444\) | −8.21914 | + | 25.2959i | −0.390063 | + | 1.20049i | ||||
\(445\) | 36.8402 | + | 26.7660i | 1.74639 | + | 1.26883i | ||||
\(446\) | 1.47412 | − | 4.53687i | 0.0698016 | − | 0.214827i | ||||
\(447\) | −14.3825 | − | 44.2647i | −0.680267 | − | 2.09365i | ||||
\(448\) | 6.91421 | − | 5.02347i | 0.326666 | − | 0.237336i | ||||
\(449\) | 9.18828 | + | 28.2786i | 0.433622 | + | 1.33455i | 0.894492 | + | 0.447084i | \(0.147537\pi\) |
−0.460870 | + | 0.887468i | \(0.652463\pi\) | |||||||
\(450\) | −2.90132 | − | 8.92936i | −0.136770 | − | 0.420934i | ||||
\(451\) | 4.87767 | − | 3.54383i | 0.229680 | − | 0.166873i | ||||
\(452\) | −3.74032 | − | 11.5115i | −0.175930 | − | 0.541457i | ||||
\(453\) | −13.0253 | + | 40.0878i | −0.611982 | + | 1.88349i | ||||
\(454\) | −5.12185 | − | 3.72125i | −0.240381 | − | 0.174647i | ||||
\(455\) | −4.50392 | + | 13.8616i | −0.211147 | + | 0.649843i | ||||
\(456\) | −13.0653 | + | 9.49253i | −0.611841 | + | 0.444528i | ||||
\(457\) | 16.7545 | − | 12.1729i | 0.783744 | − | 0.569423i | −0.122356 | − | 0.992486i | \(-0.539045\pi\) |
0.906100 | + | 0.423063i | \(0.139045\pi\) | |||||||
\(458\) | 3.93434 | + | 2.85847i | 0.183840 | + | 0.133567i | ||||
\(459\) | 14.7028 | 0.686268 | ||||||||
\(460\) | 23.0258 | 1.07358 | ||||||||
\(461\) | 12.4610 | + | 9.05345i | 0.580367 | + | 0.421661i | 0.838856 | − | 0.544353i | \(-0.183225\pi\) |
−0.258489 | + | 0.966014i | \(0.583225\pi\) | |||||||
\(462\) | −0.750575 | − | 2.31003i | −0.0349199 | − | 0.107472i | ||||
\(463\) | 3.14060 | − | 9.66576i | 0.145956 | − | 0.449206i | −0.851177 | − | 0.524879i | \(-0.824111\pi\) |
0.997133 | + | 0.0756730i | \(0.0241105\pi\) | |||||||
\(464\) | 23.0957 | 1.07219 | ||||||||
\(465\) | −25.2875 | + | 50.7929i | −1.17268 | + | 2.35546i | ||||
\(466\) | −0.750362 | −0.0347599 | ||||||||
\(467\) | 5.94540 | − | 18.2980i | 0.275120 | − | 0.846733i | −0.714067 | − | 0.700077i | \(-0.753149\pi\) |
0.989188 | − | 0.146656i | \(-0.0468510\pi\) | |||||||
\(468\) | 15.8024 | + | 48.6349i | 0.730468 | + | 2.24815i | ||||
\(469\) | 15.3176 | + | 11.1289i | 0.707302 | + | 0.513885i | ||||
\(470\) | −6.33928 | −0.292409 | ||||||||
\(471\) | 70.6996 | 3.25766 | ||||||||
\(472\) | −5.60971 | − | 4.07569i | −0.258208 | − | 0.187599i | ||||
\(473\) | 8.79942 | − | 6.39315i | 0.404598 | − | 0.293958i | ||||
\(474\) | −5.98589 | + | 4.34901i | −0.274941 | + | 0.199756i | ||||
\(475\) | 7.41055 | − | 22.8073i | 0.340019 | − | 1.04647i | ||||
\(476\) | 2.06874 | + | 1.50303i | 0.0948208 | + | 0.0688913i | ||||
\(477\) | −16.3569 | + | 50.3414i | −0.748932 | + | 2.30497i | ||||
\(478\) | −0.0918996 | − | 0.282838i | −0.00420339 | − | 0.0129367i | ||||
\(479\) | 10.8817 | − | 7.90600i | 0.497196 | − | 0.361234i | −0.310749 | − | 0.950492i | \(-0.600580\pi\) |
0.807945 | + | 0.589258i | \(0.200580\pi\) | |||||||
\(480\) | −9.26941 | − | 28.5283i | −0.423089 | − | 1.30213i | ||||
\(481\) | −4.59706 | − | 14.1483i | −0.209608 | − | 0.645107i | ||||
\(482\) | −3.92054 | + | 2.84844i | −0.178576 | + | 0.129743i | ||||
\(483\) | −5.02552 | − | 15.4670i | −0.228669 | − | 0.703772i | ||||
\(484\) | 3.66145 | − | 11.2688i | 0.166430 | − | 0.512218i | ||||
\(485\) | 6.44223 | + | 4.68056i | 0.292527 | + | 0.212533i | ||||
\(486\) | −2.96446 | + | 9.12368i | −0.134471 | + | 0.413859i | ||||
\(487\) | −24.9597 | + | 18.1343i | −1.13103 | + | 0.821744i | −0.985845 | − | 0.167660i | \(-0.946379\pi\) |
−0.145189 | + | 0.989404i | \(0.546379\pi\) | |||||||
\(488\) | 2.82486 | − | 2.05238i | 0.127875 | − | 0.0929069i | ||||
\(489\) | 14.2232 | + | 10.3338i | 0.643195 | + | 0.467309i | ||||
\(490\) | 4.22971 | 0.191079 | ||||||||
\(491\) | −28.2292 | −1.27397 | −0.636983 | − | 0.770878i | \(-0.719818\pi\) | ||||
−0.636983 | + | 0.770878i | \(0.719818\pi\) | |||||||
\(492\) | −13.8675 | − | 10.0753i | −0.625196 | − | 0.454232i | ||||
\(493\) | 1.97713 | + | 6.08500i | 0.0890457 | + | 0.274054i | ||||
\(494\) | 1.37230 | − | 4.22350i | 0.0617427 | − | 0.190024i | ||||
\(495\) | 52.2115 | 2.34673 | ||||||||
\(496\) | −8.95732 | + | 17.9918i | −0.402195 | + | 0.807856i | ||||
\(497\) | 15.1151 | 0.678006 | ||||||||
\(498\) | −1.79397 | + | 5.52127i | −0.0803897 | + | 0.247414i | ||||
\(499\) | −7.58365 | − | 23.3401i | −0.339491 | − | 1.04485i | −0.964467 | − | 0.264202i | \(-0.914891\pi\) |
0.624976 | − | 0.780644i | \(-0.285109\pi\) | |||||||
\(500\) | −0.679786 | − | 0.493893i | −0.0304010 | − | 0.0220876i | ||||
\(501\) | −60.6544 | −2.70984 | ||||||||
\(502\) | 2.54504 | 0.113591 | ||||||||
\(503\) | 19.3951 | + | 14.0914i | 0.864786 | + | 0.628304i | 0.929183 | − | 0.369621i | \(-0.120512\pi\) |
−0.0643967 | + | 0.997924i | \(0.520512\pi\) | |||||||
\(504\) | −8.12618 | + | 5.90401i | −0.361969 | + | 0.262986i | ||||
\(505\) | −34.7564 | + | 25.2520i | −1.54664 | + | 1.12370i | ||||
\(506\) | 0.663216 | − | 2.04117i | 0.0294835 | − | 0.0907410i | ||||
\(507\) | 1.77211 | + | 1.28751i | 0.0787020 | + | 0.0571803i | ||||
\(508\) | 1.07293 | − | 3.30215i | 0.0476038 | − | 0.146509i | ||||
\(509\) | −4.83211 | − | 14.8717i | −0.214180 | − | 0.659177i | −0.999211 | − | 0.0397210i | \(-0.987353\pi\) |
0.785031 | − | 0.619456i | \(-0.212647\pi\) | |||||||
\(510\) | 2.11423 | − | 1.53608i | 0.0936198 | − | 0.0680188i | ||||
\(511\) | 5.81495 | + | 17.8966i | 0.257238 | + | 0.791698i | ||||
\(512\) | −5.53422 | − | 17.0326i | −0.244580 | − | 0.752741i | ||||
\(513\) | −58.6733 | + | 42.6287i | −2.59049 | + | 1.88210i | ||||
\(514\) | 2.06125 | + | 6.34386i | 0.0909177 | + | 0.279816i | ||||
\(515\) | 8.45781 | − | 26.0304i | 0.372695 | − | 1.14704i | ||||
\(516\) | −25.0173 | − | 18.1762i | −1.10133 | − | 0.800161i | ||||
\(517\) | 5.37043 | − | 16.5285i | 0.236191 | − | 0.726922i | ||||
\(518\) | 1.16223 | − | 0.844409i | 0.0510654 | − | 0.0371012i | ||||
\(519\) | 16.7803 | − | 12.1916i | 0.736572 | − | 0.535151i | ||||
\(520\) | 8.99864 | + | 6.53790i | 0.394617 | + | 0.286706i | ||||
\(521\) | 34.1230 | 1.49495 | 0.747477 | − | 0.664288i | \(-0.231265\pi\) | ||||
0.747477 | + | 0.664288i | \(0.231265\pi\) | |||||||
\(522\) | −12.3561 | −0.540813 | ||||||||
\(523\) | −9.04426 | − | 6.57104i | −0.395478 | − | 0.287332i | 0.372219 | − | 0.928145i | \(-0.378597\pi\) |
−0.767697 | + | 0.640814i | \(0.778597\pi\) | |||||||
\(524\) | 5.32748 | + | 16.3963i | 0.232732 | + | 0.716275i | ||||
\(525\) | 6.44520 | − | 19.8363i | 0.281292 | − | 0.865727i | ||||
\(526\) | −3.09304 | −0.134863 | ||||||||
\(527\) | −5.50709 | − | 0.819764i | −0.239892 | − | 0.0357095i | ||||
\(528\) | 25.8618 | 1.12549 | ||||||||
\(529\) | −2.66679 | + | 8.20753i | −0.115947 | + | 0.356849i | ||||
\(530\) | 1.74916 | + | 5.38335i | 0.0759784 | + | 0.233838i | ||||
\(531\) | −41.8724 | − | 30.4221i | −1.81711 | − | 1.32021i | ||||
\(532\) | −12.6134 | −0.546860 | ||||||||
\(533\) | 9.58728 | 0.415271 | ||||||||
\(534\) | −9.76264 | − | 7.09297i | −0.422471 | − | 0.306943i | ||||
\(535\) | −43.1279 | + | 31.3342i | −1.86458 | + | 1.35470i | ||||
\(536\) | 11.6897 | − | 8.49305i | 0.504917 | − | 0.366844i | ||||
\(537\) | −3.03488 | + | 9.34039i | −0.130965 | + | 0.403068i | ||||
\(538\) | 4.05576 | + | 2.94669i | 0.174856 | + | 0.127041i | ||||
\(539\) | −3.58328 | + | 11.0282i | −0.154343 | + | 0.475018i | ||||
\(540\) | −27.5974 | − | 84.9359i | −1.18760 | − | 3.65506i | ||||
\(541\) | 0.858841 | − | 0.623984i | 0.0369244 | − | 0.0268272i | −0.569170 | − | 0.822220i | \(-0.692735\pi\) |
0.606094 | + | 0.795393i | \(0.292735\pi\) | |||||||
\(542\) | 1.46922 | + | 4.52178i | 0.0631082 | + | 0.194227i | ||||
\(543\) | 11.9150 | + | 36.6707i | 0.511323 | + | 1.57369i | ||||
\(544\) | 2.38135 | − | 1.73015i | 0.102099 | − | 0.0741795i | ||||
\(545\) | −6.46243 | − | 19.8893i | −0.276820 | − | 0.851965i | ||||
\(546\) | 1.19354 | − | 3.67332i | 0.0510786 | − | 0.157204i | ||||
\(547\) | 4.90926 | + | 3.56678i | 0.209905 | + | 0.152505i | 0.687771 | − | 0.725928i | \(-0.258590\pi\) |
−0.477866 | + | 0.878433i | \(0.658590\pi\) | |||||||
\(548\) | 1.34389 | − | 4.13606i | 0.0574080 | − | 0.176684i | ||||
\(549\) | 21.0855 | − | 15.3195i | 0.899908 | − | 0.653822i | ||||
\(550\) | 2.22682 | − | 1.61788i | 0.0949520 | − | 0.0689867i | ||||
\(551\) | −25.5326 | − | 18.5505i | −1.08772 | − | 0.790277i | ||||
\(552\) | −12.4111 | −0.528251 | ||||||||
\(553\) | −11.7541 | −0.499837 | ||||||||
\(554\) | −3.80252 | − | 2.76269i | −0.161553 | − | 0.117375i | ||||
\(555\) | 13.3442 | + | 41.0691i | 0.566429 | + | 1.74329i | ||||
\(556\) | 0.467762 | − | 1.43962i | 0.0198375 | − | 0.0610536i | ||||
\(557\) | 31.8626 | 1.35006 | 0.675032 | − | 0.737789i | \(-0.264130\pi\) | ||||
0.675032 | + | 0.737789i | \(0.264130\pi\) | |||||||
\(558\) | 4.79214 | − | 9.62557i | 0.202868 | − | 0.407483i | ||||
\(559\) | 17.2957 | 0.731529 | ||||||||
\(560\) | 4.63099 | − | 14.2527i | 0.195695 | − | 0.602287i | ||||
\(561\) | 2.21393 | + | 6.81379i | 0.0934723 | + | 0.287678i | ||||
\(562\) | −1.07427 | − | 0.780506i | −0.0453155 | − | 0.0329237i | ||||
\(563\) | 31.2863 | 1.31856 | 0.659279 | − | 0.751898i | \(-0.270862\pi\) | ||||
0.659279 | + | 0.751898i | \(0.270862\pi\) | |||||||
\(564\) | −49.4099 | −2.08053 | ||||||||
\(565\) | −15.8983 | − | 11.5508i | −0.668845 | − | 0.485944i | ||||
\(566\) | −0.243118 | + | 0.176636i | −0.0102190 | + | 0.00742454i | ||||
\(567\) | −26.8668 | + | 19.5199i | −1.12830 | + | 0.819759i | ||||
\(568\) | 3.56455 | − | 10.9706i | 0.149565 | − | 0.460315i | ||||
\(569\) | 17.4192 | + | 12.6558i | 0.730250 | + | 0.530557i | 0.889642 | − | 0.456658i | \(-0.150954\pi\) |
−0.159393 | + | 0.987215i | \(0.550954\pi\) | |||||||
\(570\) | −3.98346 | + | 12.2598i | −0.166849 | + | 0.513507i | ||||
\(571\) | 9.05728 | + | 27.8754i | 0.379035 | + | 1.16655i | 0.940716 | + | 0.339196i | \(0.110155\pi\) |
−0.561681 | + | 0.827354i | \(0.689845\pi\) | |||||||
\(572\) | −12.1287 | + | 8.81200i | −0.507125 | + | 0.368448i | ||||
\(573\) | 23.3815 | + | 71.9608i | 0.976775 | + | 3.00620i | ||||
\(574\) | 0.286098 | + | 0.880518i | 0.0119415 | + | 0.0367521i | ||||
\(575\) | 14.9098 | − | 10.8326i | 0.621783 | − | 0.451751i | ||||
\(576\) | −15.0441 | − | 46.3010i | −0.626837 | − | 1.92921i | ||||
\(577\) | −5.84688 | + | 17.9949i | −0.243409 | + | 0.749136i | 0.752485 | + | 0.658609i | \(0.228855\pi\) |
−0.995894 | + | 0.0905265i | \(0.971145\pi\) | |||||||
\(578\) | 0.207466 | + | 0.150733i | 0.00862947 | + | 0.00626968i | ||||
\(579\) | 17.7408 | − | 54.6006i | 0.737283 | − | 2.26913i | ||||
\(580\) | 31.4410 | − | 22.8432i | 1.30552 | − | 0.948513i | ||||
\(581\) | −7.46122 | + | 5.42089i | −0.309544 | + | 0.224897i | ||||
\(582\) | −1.70719 | − | 1.24034i | −0.0707652 | − | 0.0514140i | ||||
\(583\) | −15.5179 | −0.642686 | ||||||||
\(584\) | 14.3607 | 0.594249 | ||||||||
\(585\) | 67.1684 | + | 48.8007i | 2.77707 | + | 2.01766i | ||||
\(586\) | −1.53254 | − | 4.71669i | −0.0633088 | − | 0.194845i | ||||
\(587\) | 1.01189 | − | 3.11428i | 0.0417652 | − | 0.128540i | −0.928000 | − | 0.372581i | \(-0.878473\pi\) |
0.969765 | + | 0.244041i | \(0.0784730\pi\) | |||||||
\(588\) | 32.9674 | 1.35955 | ||||||||
\(589\) | 24.3535 | − | 12.6956i | 1.00347 | − | 0.523114i | ||||
\(590\) | −5.53474 | −0.227862 | ||||||||
\(591\) | −15.4057 | + | 47.4140i | −0.633708 | + | 1.95035i | ||||
\(592\) | 4.72676 | + | 14.5475i | 0.194269 | + | 0.597898i | ||||
\(593\) | 7.21040 | + | 5.23866i | 0.296095 | + | 0.215126i | 0.725907 | − | 0.687793i | \(-0.241420\pi\) |
−0.429812 | + | 0.902918i | \(0.641420\pi\) | |||||||
\(594\) | −8.32421 | −0.341546 | ||||||||
\(595\) | 4.15159 | 0.170199 | ||||||||
\(596\) | −22.4434 | − | 16.3061i | −0.919318 | − | 0.667923i | ||||
\(597\) | −13.1696 | + | 9.56824i | −0.538994 | + | 0.391602i | ||||
\(598\) | 2.76103 | − | 2.00601i | 0.112907 | − | 0.0820317i | ||||
\(599\) | −2.01993 | + | 6.21670i | −0.0825320 | + | 0.254007i | −0.983804 | − | 0.179246i | \(-0.942634\pi\) |
0.901272 | + | 0.433253i | \(0.142634\pi\) | |||||||
\(600\) | −12.8773 | − | 9.35587i | −0.525712 | − | 0.381952i | ||||
\(601\) | −4.20532 | + | 12.9426i | −0.171539 | + | 0.527941i | −0.999458 | − | 0.0329050i | \(-0.989524\pi\) |
0.827920 | + | 0.560846i | \(0.189524\pi\) | |||||||
\(602\) | 0.516126 | + | 1.58847i | 0.0210357 | + | 0.0647414i | ||||
\(603\) | 87.2549 | − | 63.3944i | 3.55330 | − | 2.58162i | ||||
\(604\) | 7.76368 | + | 23.8942i | 0.315900 | + | 0.972239i | ||||
\(605\) | −5.94455 | − | 18.2954i | −0.241680 | − | 0.743816i | ||||
\(606\) | 9.21043 | − | 6.69177i | 0.374148 | − | 0.271835i | ||||
\(607\) | −9.59401 | − | 29.5273i | −0.389409 | − | 1.19848i | −0.933231 | − | 0.359277i | \(-0.883023\pi\) |
0.543822 | − | 0.839200i | \(-0.316977\pi\) | |||||||
\(608\) | −4.48673 | + | 13.8087i | −0.181961 | + | 0.560018i | ||||
\(609\) | −22.2065 | − | 16.1340i | −0.899854 | − | 0.653782i | ||||
\(610\) | 0.861264 | − | 2.65070i | 0.0348715 | − | 0.107324i | ||||
\(611\) | 22.3576 | − | 16.2438i | 0.904493 | − | 0.657152i | ||||
\(612\) | 11.7844 | − | 8.56183i | 0.476354 | − | 0.346092i | ||||
\(613\) | 36.3723 | + | 26.4260i | 1.46906 | + | 1.06734i | 0.980884 | + | 0.194594i | \(0.0623390\pi\) |
0.488180 | + | 0.872743i | \(0.337661\pi\) | |||||||
\(614\) | 0.396627 | 0.0160065 | ||||||||
\(615\) | −27.8296 | −1.12220 | ||||||||
\(616\) | −2.38232 | − | 1.73086i | −0.0959865 | − | 0.0697383i | ||||
\(617\) | 10.5787 | + | 32.5578i | 0.425881 | + | 1.31073i | 0.902148 | + | 0.431426i | \(0.141990\pi\) |
−0.476267 | + | 0.879301i | \(0.658010\pi\) | |||||||
\(618\) | −2.24131 | + | 6.89805i | −0.0901588 | + | 0.277480i | ||||
\(619\) | −32.9777 | −1.32549 | −0.662743 | − | 0.748847i | \(-0.730608\pi\) | ||||
−0.662743 | + | 0.748847i | \(0.730608\pi\) | |||||||
\(620\) | 5.60121 | + | 33.3523i | 0.224950 | + | 1.33946i | ||||
\(621\) | −55.7352 | −2.23658 | ||||||||
\(622\) | 2.05668 | − | 6.32980i | 0.0824652 | − | 0.253802i | ||||
\(623\) | −5.92395 | − | 18.2320i | −0.237338 | − | 0.730452i | ||||
\(624\) | 33.2704 | + | 24.1723i | 1.33188 | + | 0.967668i | ||||
\(625\) | −25.6725 | −1.02690 | ||||||||
\(626\) | −7.23390 | −0.289125 | ||||||||
\(627\) | −28.5906 | − | 20.7723i | −1.14180 | − | 0.829564i | ||||
\(628\) | 34.0922 | − | 24.7694i | 1.36042 | − | 0.988407i | ||||
\(629\) | −3.42817 | + | 2.49071i | −0.136690 | + | 0.0993111i | ||||
\(630\) | −2.47757 | + | 7.62517i | −0.0987087 | + | 0.303794i | ||||
\(631\) | −3.76774 | − | 2.73742i | −0.149991 | − | 0.108975i | 0.510259 | − | 0.860021i | \(-0.329550\pi\) |
−0.660250 | + | 0.751046i | \(0.729550\pi\) | |||||||
\(632\) | −2.77194 | + | 8.53117i | −0.110262 | + | 0.339352i | ||||
\(633\) | −3.44069 | − | 10.5894i | −0.136755 | − | 0.420889i | ||||
\(634\) | 2.87397 | − | 2.08806i | 0.114140 | − | 0.0829274i | ||||
\(635\) | −1.74196 | − | 5.36121i | −0.0691277 | − | 0.212753i | ||||
\(636\) | 13.6333 | + | 41.9591i | 0.540597 | + | 1.66379i | ||||
\(637\) | −14.9175 | + | 10.8382i | −0.591054 | + | 0.429426i | ||||
\(638\) | −1.11938 | − | 3.44511i | −0.0443168 | − | 0.136393i | ||||
\(639\) | 26.6068 | − | 81.8874i | 1.05255 | − | 3.23941i | ||||
\(640\) | −19.1682 | − | 13.9265i | −0.757691 | − | 0.550495i | ||||
\(641\) | −0.420747 | + | 1.29493i | −0.0166185 | + | 0.0511465i | −0.959022 | − | 0.283332i | \(-0.908560\pi\) |
0.942403 | + | 0.334479i | \(0.108560\pi\) | |||||||
\(642\) | 11.4289 | − | 8.30355i | 0.451061 | − | 0.327715i | ||||
\(643\) | 17.7823 | − | 12.9196i | 0.701265 | − | 0.509499i | −0.179079 | − | 0.983835i | \(-0.557312\pi\) |
0.880344 | + | 0.474336i | \(0.157312\pi\) | |||||||
\(644\) | −7.84218 | − | 5.69767i | −0.309025 | − | 0.224520i | ||||
\(645\) | −50.2052 | −1.97683 | ||||||||
\(646\) | −1.26495 | −0.0497688 | ||||||||
\(647\) | −17.1438 | − | 12.4557i | −0.673993 | − | 0.489685i | 0.197366 | − | 0.980330i | \(-0.436761\pi\) |
−0.871360 | + | 0.490645i | \(0.836761\pi\) | |||||||
\(648\) | 7.83164 | + | 24.1033i | 0.307656 | + | 0.946867i | ||||
\(649\) | 4.68885 | − | 14.4308i | 0.184053 | − | 0.566458i | ||||
\(650\) | 4.37692 | 0.171677 | ||||||||
\(651\) | 21.1810 | − | 11.0418i | 0.830151 | − | 0.432763i | ||||
\(652\) | 10.4790 | 0.410389 | ||||||||
\(653\) | −6.25734 | + | 19.2581i | −0.244869 | + | 0.753629i | 0.750789 | + | 0.660542i | \(0.229673\pi\) |
−0.995658 | + | 0.0930868i | \(0.970327\pi\) | |||||||
\(654\) | 1.71254 | + | 5.27066i | 0.0669656 | + | 0.206099i | ||||
\(655\) | 22.6445 | + | 16.4522i | 0.884793 | + | 0.642840i | ||||
\(656\) | −9.85777 | −0.384881 | ||||||||
\(657\) | 107.192 | 4.18196 | ||||||||
\(658\) | 2.15905 | + | 1.56864i | 0.0841684 | + | 0.0611519i | ||||
\(659\) | 8.69525 | − | 6.31747i | 0.338719 | − | 0.246094i | −0.405402 | − | 0.914138i | \(-0.632869\pi\) |
0.744121 | + | 0.668045i | \(0.232869\pi\) | |||||||
\(660\) | 35.2067 | − | 25.5791i | 1.37042 | − | 0.995666i | ||||
\(661\) | −7.30234 | + | 22.4743i | −0.284028 | + | 0.874149i | 0.702660 | + | 0.711526i | \(0.251995\pi\) |
−0.986688 | + | 0.162623i | \(0.948005\pi\) | |||||||
\(662\) | 5.68813 | + | 4.13267i | 0.221076 | + | 0.160621i | ||||
\(663\) | −3.52051 | + | 10.8350i | −0.136725 | + | 0.420797i | ||||
\(664\) | 2.17493 | + | 6.69376i | 0.0844038 | + | 0.259768i | ||||
\(665\) | −16.5674 | + | 12.0369i | −0.642457 | + | 0.466772i | ||||
\(666\) | −2.52881 | − | 7.78287i | −0.0979893 | − | 0.301580i | ||||
\(667\) | −7.49490 | − | 23.0669i | −0.290204 | − | 0.893155i | ||||
\(668\) | −29.2482 | + | 21.2501i | −1.13165 | + | 0.822191i | ||||
\(669\) | −18.6540 | − | 57.4111i | −0.721206 | − | 2.21964i | ||||
\(670\) | 3.56403 | − | 10.9690i | 0.137691 | − | 0.423768i | ||||
\(671\) | 6.18157 | + | 4.49117i | 0.238637 | + | 0.173380i | ||||
\(672\) | −3.90226 | + | 12.0099i | −0.150533 | + | 0.463293i | ||||
\(673\) | 6.58663 | − | 4.78547i | 0.253896 | − | 0.184466i | −0.453556 | − | 0.891228i | \(-0.649845\pi\) |
0.707452 | + | 0.706762i | \(0.249845\pi\) | |||||||
\(674\) | 6.69778 | − | 4.86622i | 0.257989 | − | 0.187440i | ||||
\(675\) | −57.8286 | − | 42.0150i | −2.22583 | − | 1.61716i | ||||
\(676\) | 1.30561 | 0.0502156 | ||||||||
\(677\) | −25.3361 | −0.973744 | −0.486872 | − | 0.873473i | \(-0.661862\pi\) | ||||
−0.486872 | + | 0.873473i | \(0.661862\pi\) | |||||||
\(678\) | 4.21303 | + | 3.06095i | 0.161800 | + | 0.117555i | ||||
\(679\) | −1.03592 | − | 3.18823i | −0.0397549 | − | 0.122353i | ||||
\(680\) | 0.979058 | − | 3.01323i | 0.0375452 | − | 0.115552i | ||||
\(681\) | −80.1141 | −3.06998 | ||||||||
\(682\) | 3.11792 | + | 0.464122i | 0.119391 | + | 0.0177721i | ||||
\(683\) | −23.8448 | −0.912396 | −0.456198 | − | 0.889878i | \(-0.650789\pi\) | ||||
−0.456198 | + | 0.889878i | \(0.650789\pi\) | |||||||
\(684\) | −22.2031 | + | 68.3341i | −0.848956 | + | 2.61282i | ||||
\(685\) | −2.18187 | − | 6.71510i | −0.0833648 | − | 0.256571i | ||||
\(686\) | −3.36050 | − | 2.44154i | −0.128304 | − | 0.0932185i | ||||
\(687\) | 61.5395 | 2.34788 | ||||||||
\(688\) | −17.7836 | −0.677995 | ||||||||
\(689\) | −19.9633 | − | 14.5042i | −0.760540 | − | 0.552565i | ||||
\(690\) | −8.01461 | + | 5.82296i | −0.305111 | + | 0.221676i | ||||
\(691\) | −27.6338 | + | 20.0771i | −1.05124 | + | 0.763770i | −0.972448 | − | 0.233121i | \(-0.925106\pi\) |
−0.0787913 | + | 0.996891i | \(0.525106\pi\) | |||||||
\(692\) | 3.82035 | − | 11.7578i | 0.145228 | − | 0.446966i | ||||
\(693\) | −17.7823 | − | 12.9196i | −0.675494 | − | 0.490775i | ||||
\(694\) | −0.766554 | + | 2.35921i | −0.0290980 | + | 0.0895544i | ||||
\(695\) | −0.759434 | − | 2.33730i | −0.0288070 | − | 0.0886588i | ||||
\(696\) | −16.9470 | + | 12.3127i | −0.642373 | + | 0.466712i | ||||
\(697\) | −0.843887 | − | 2.59722i | −0.0319645 | − | 0.0983766i | ||||
\(698\) | −0.969219 | − | 2.98295i | −0.0366855 | − | 0.112906i | ||||
\(699\) | −7.68189 | + | 5.58122i | −0.290556 | + | 0.211101i | ||||
\(700\) | −3.84164 | − | 11.8234i | −0.145200 | − | 0.446881i | ||||
\(701\) | 4.91683 | − | 15.1324i | 0.185706 | − | 0.571544i | −0.814254 | − | 0.580509i | \(-0.802854\pi\) |
0.999960 | + | 0.00896479i | \(0.00285362\pi\) | |||||||
\(702\) | −10.7088 | − | 7.78041i | −0.404178 | − | 0.293653i | ||||
\(703\) | 6.45906 | − | 19.8790i | 0.243608 | − | 0.749749i | ||||
\(704\) | 11.5466 | − | 8.38912i | 0.435180 | − | 0.316177i | ||||
\(705\) | −64.8989 | + | 47.1518i | −2.44423 | + | 1.77584i | ||||
\(706\) | 1.43988 | + | 1.04613i | 0.0541906 | + | 0.0393718i | ||||
\(707\) | 18.0860 | 0.680193 | ||||||||
\(708\) | −43.1391 | −1.62127 | ||||||||
\(709\) | 17.0815 | + | 12.4105i | 0.641510 | + | 0.466084i | 0.860369 | − | 0.509672i | \(-0.170233\pi\) |
−0.218858 | + | 0.975757i | \(0.570233\pi\) | |||||||
\(710\) | −2.84525 | − | 8.75677i | −0.106780 | − | 0.328636i | ||||
\(711\) | −20.6906 | + | 63.6790i | −0.775956 | + | 2.38815i | ||||
\(712\) | −14.6299 | −0.548278 | ||||||||
\(713\) | 20.8762 | + | 3.10755i | 0.781820 | + | 0.116379i | ||||
\(714\) | −1.10017 | −0.0411728 | ||||||||
\(715\) | −7.52148 | + | 23.1487i | −0.281288 | + | 0.865714i | ||||
\(716\) | 1.80893 | + | 5.56731i | 0.0676028 | + | 0.208060i | ||||
\(717\) | −3.04459 | − | 2.21202i | −0.113702 | − | 0.0826095i | ||||
\(718\) | −6.38227 | −0.238184 | ||||||||
\(719\) | −15.6123 | −0.582242 | −0.291121 | − | 0.956686i | \(-0.594028\pi\) | ||||
−0.291121 | + | 0.956686i | \(0.594028\pi\) | |||||||
\(720\) | −69.0634 | − | 50.1775i | −2.57384 | − | 1.87001i | ||||
\(721\) | −9.32175 | + | 6.77265i | −0.347160 | + | 0.252227i | ||||
\(722\) | 1.10607 | − | 0.803605i | 0.0411636 | − | 0.0299071i | ||||
\(723\) | −18.9500 | + | 58.3222i | −0.704759 | + | 2.16903i | ||||
\(724\) | 18.5930 | + | 13.5086i | 0.691004 | + | 0.502044i | ||||
\(725\) | 9.61217 | − | 29.5832i | 0.356987 | − | 1.09869i | ||||
\(726\) | 1.57530 | + | 4.84828i | 0.0584649 | + | 0.179937i | ||||
\(727\) | −11.3615 | + | 8.25464i | −0.421376 | + | 0.306148i | −0.778191 | − | 0.628027i | \(-0.783863\pi\) |
0.356815 | + | 0.934175i | \(0.383863\pi\) | |||||||
\(728\) | −1.44699 | − | 4.45338i | −0.0536291 | − | 0.165053i | ||||
\(729\) | 14.2258 | + | 43.7826i | 0.526882 | + | 1.62158i | ||||
\(730\) | 9.27357 | − | 6.73764i | 0.343230 | − | 0.249371i | ||||
\(731\) | −1.52239 | − | 4.68544i | −0.0563077 | − | 0.173297i | ||||
\(732\) | 6.71290 | − | 20.6602i | 0.248116 | − | 0.763622i | ||||
\(733\) | −13.0939 | − | 9.51330i | −0.483636 | − | 0.351382i | 0.319096 | − | 0.947722i | \(-0.396621\pi\) |
−0.802732 | + | 0.596341i | \(0.796621\pi\) | |||||||
\(734\) | 1.39871 | − | 4.30478i | 0.0516273 | − | 0.158892i | ||||
\(735\) | 43.3020 | − | 31.4607i | 1.59722 | − | 1.16045i | ||||
\(736\) | −9.02718 | + | 6.55863i | −0.332746 | + | 0.241754i | ||||
\(737\) | 25.5802 | + | 18.5851i | 0.942259 | + | 0.684591i | ||||
\(738\) | 5.27389 | 0.194134 | ||||||||
\(739\) | −19.3937 | −0.713408 | −0.356704 | − | 0.934217i | \(-0.616100\pi\) | ||||
−0.356704 | + | 0.934217i | \(0.616100\pi\) | |||||||
\(740\) | 20.8232 | + | 15.1289i | 0.765475 | + | 0.556150i | ||||
\(741\) | −17.3655 | − | 53.4456i | −0.637939 | − | 1.96337i | ||||
\(742\) | 0.736364 | − | 2.26630i | 0.0270328 | − | 0.0831983i | ||||
\(743\) | −46.0122 | −1.68803 | −0.844013 | − | 0.536323i | \(-0.819813\pi\) | ||||
−0.844013 | + | 0.536323i | \(0.819813\pi\) | |||||||
\(744\) | −3.01910 | − | 17.9772i | −0.110686 | − | 0.659076i | ||||
\(745\) | −45.0398 | −1.65013 | ||||||||
\(746\) | 0.404745 | − | 1.24568i | 0.0148188 | − | 0.0456075i | ||||
\(747\) | 16.2343 | + | 49.9640i | 0.593982 | + | 1.82809i | ||||
\(748\) | 3.45478 | + | 2.51004i | 0.126319 | + | 0.0917762i | ||||
\(749\) | 22.4422 | 0.820018 | ||||||||
\(750\) | 0.361514 | 0.0132006 | ||||||||
\(751\) | 17.0365 | + | 12.3777i | 0.621670 | + | 0.451669i | 0.853504 | − | 0.521086i | \(-0.174473\pi\) |
−0.231835 | + | 0.972755i | \(0.574473\pi\) | |||||||
\(752\) | −22.9884 | + | 16.7021i | −0.838301 | + | 0.609061i | ||||
\(753\) | 26.0550 | − | 18.9301i | 0.949497 | − | 0.689850i | ||||
\(754\) | 1.78000 | − | 5.47828i | 0.0648238 | − | 0.199507i | ||||
\(755\) | 32.9996 | + | 23.9756i | 1.20098 | + | 0.872561i | ||||
\(756\) | −11.6180 | + | 35.7566i | −0.422543 | + | 1.30045i | ||||
\(757\) | −9.13239 | − | 28.1066i | −0.331922 | − | 1.02155i | −0.968218 | − | 0.250107i | \(-0.919534\pi\) |
0.636296 | − | 0.771445i | \(-0.280466\pi\) | |||||||
\(758\) | −4.69618 | + | 3.41198i | −0.170573 | + | 0.123929i | ||||
\(759\) | −8.39256 | − | 25.8296i | −0.304631 | − | 0.937556i | ||||
\(760\) | 4.82938 | + | 14.8633i | 0.175180 | + | 0.539148i | ||||
\(761\) | −14.0571 | + | 10.2131i | −0.509571 | + | 0.370225i | −0.812661 | − | 0.582737i | \(-0.801982\pi\) |
0.303090 | + | 0.952962i | \(0.401982\pi\) | |||||||
\(762\) | 0.461619 | + | 1.42072i | 0.0167227 | + | 0.0514671i | ||||
\(763\) | −2.72057 | + | 8.37306i | −0.0984913 | + | 0.303125i | ||||
\(764\) | 36.4861 | + | 26.5087i | 1.32002 | + | 0.959050i | ||||
\(765\) | 7.30796 | − | 22.4916i | 0.264220 | − | 0.813185i | ||||
\(766\) | 2.16052 | − | 1.56971i | 0.0780629 | − | 0.0567160i | ||||
\(767\) | 19.5201 | − | 14.1822i | 0.704831 | − | 0.512090i | ||||
\(768\) | −28.8644 | − | 20.9712i | −1.04155 | − | 0.756734i | ||||
\(769\) | 30.1202 | 1.08616 | 0.543081 | − | 0.839680i | \(-0.317257\pi\) | ||||
0.543081 | + | 0.839680i | \(0.317257\pi\) | |||||||
\(770\) | −2.35048 | −0.0847056 | ||||||||
\(771\) | 68.2880 | + | 49.6142i | 2.45933 | + | 1.78681i | ||||
\(772\) | −10.5744 | − | 32.5445i | −0.380579 | − | 1.17130i | ||||
\(773\) | −2.02834 | + | 6.24260i | −0.0729544 | + | 0.224531i | −0.980884 | − | 0.194591i | \(-0.937662\pi\) |
0.907930 | + | 0.419122i | \(0.137662\pi\) | |||||||
\(774\) | 9.51421 | 0.341981 | ||||||||
\(775\) | 19.3177 | + | 18.9614i | 0.693913 | + | 0.681114i | ||||
\(776\) | −2.55832 | −0.0918383 | ||||||||
\(777\) | 5.61767 | − | 17.2894i | 0.201533 | − | 0.620254i | ||||
\(778\) | −0.0168107 | − | 0.0517379i | −0.000602691 | − | 0.00185489i | ||||
\(779\) | 10.8979 | + | 7.91778i | 0.390457 | + | 0.283684i | ||||
\(780\) | 69.2003 | 2.47777 | ||||||||
\(781\) | 25.2420 | 0.903232 | ||||||||
\(782\) | −0.786462 | − | 0.571398i | −0.0281238 | − | 0.0204331i | ||||
\(783\) | −76.1047 | + | 55.2933i | −2.71976 | + | 1.97602i | ||||
\(784\) | 15.3384 | − | 11.1440i | 0.547800 | − | 0.398000i | ||||
\(785\) | 21.1419 | − | 65.0682i | 0.754588 | − | 2.32238i | ||||
\(786\) | −6.00077 | − | 4.35982i | −0.214041 | − | 0.155510i | ||||
\(787\) | −13.7937 | + | 42.4527i | −0.491693 | + | 1.51328i | 0.330354 | + | 0.943857i | \(0.392832\pi\) |
−0.822047 | + | 0.569420i | \(0.807168\pi\) | |||||||
\(788\) | 9.18254 | + | 28.2609i | 0.327114 | + | 1.00675i | ||||
\(789\) | −31.6652 | + | 23.0061i | −1.12731 | + | 0.819040i | ||||
\(790\) | 2.21258 | + | 6.80962i | 0.0787201 | + | 0.242275i | ||||
\(791\) | 2.55646 | + | 7.86797i | 0.0908972 | + | 0.279753i | ||||
\(792\) | −13.5706 | + | 9.85963i | −0.482211 | + | 0.350347i | ||||
\(793\) | 3.75460 | + | 11.5555i | 0.133330 | + | 0.410347i | ||||
\(794\) | 2.27858 | − | 7.01274i | 0.0808637 | − | 0.248873i | ||||
\(795\) | 57.9486 | + | 42.1021i | 2.05523 | + | 1.49321i | ||||
\(796\) | −2.99831 | + | 9.22784i | −0.106272 | + | 0.327072i | ||||
\(797\) | −36.1949 | + | 26.2971i | −1.28209 | + | 0.931493i | −0.999614 | − | 0.0277817i | \(-0.991156\pi\) |
−0.282476 | + | 0.959274i | \(0.591156\pi\) | |||||||
\(798\) | 4.39036 | − | 3.18978i | 0.155417 | − | 0.112917i | ||||
\(799\) | −6.36843 | − | 4.62693i | −0.225299 | − | 0.163689i | ||||
\(800\) | −14.3103 | −0.505947 | ||||||||
\(801\) | −109.201 | −3.85844 | ||||||||
\(802\) | 5.49770 | + | 3.99431i | 0.194130 | + | 0.141044i | ||||
\(803\) | 9.71089 | + | 29.8870i | 0.342690 | + | 1.05469i | ||||
\(804\) | 27.7789 | − | 85.4948i | 0.979688 | − | 3.01517i | ||||
\(805\) | −15.7378 | −0.554685 | ||||||||
\(806\) | 3.57730 | + | 3.51131i | 0.126005 | + | 0.123681i | ||||
\(807\) | 63.4387 | 2.23315 | ||||||||
\(808\) | 4.26516 | − | 13.1268i | 0.150048 | − | 0.461800i | ||||
\(809\) | 4.71267 | + | 14.5041i | 0.165689 | + | 0.509937i | 0.999086 | − | 0.0427364i | \(-0.0136076\pi\) |
−0.833398 | + | 0.552674i | \(0.813608\pi\) | |||||||
\(810\) | 16.3660 | + | 11.8906i | 0.575043 | + | 0.417793i | ||||
\(811\) | −9.06694 | −0.318383 | −0.159192 | − | 0.987248i | \(-0.550889\pi\) | ||||
−0.159192 | + | 0.987248i | \(0.550889\pi\) | |||||||
\(812\) | −16.3607 | −0.574150 | ||||||||
\(813\) | 48.6744 | + | 35.3640i | 1.70708 | + | 1.24027i | ||||
\(814\) | 1.94091 | − | 1.41015i | 0.0680288 | − | 0.0494258i | ||||
\(815\) | 13.7639 | − | 10.0001i | 0.482130 | − | 0.350288i | ||||
\(816\) | 3.61984 | − | 11.1407i | 0.126720 | − | 0.390003i | ||||
\(817\) | 19.6600 | + | 14.2839i | 0.687818 | + | 0.499729i | ||||
\(818\) | 1.49378 | − | 4.59737i | 0.0522287 | − | 0.160743i | ||||
\(819\) | −10.8007 | − | 33.2413i | −0.377409 | − | 1.16154i | ||||
\(820\) | −13.4198 | + | 9.75002i | −0.468638 | + | 0.340485i | ||||
\(821\) | 11.5225 | + | 35.4627i | 0.402139 | + | 1.23766i | 0.923261 | + | 0.384174i | \(0.125514\pi\) |
−0.521122 | + | 0.853482i | \(0.674486\pi\) | |||||||
\(822\) | 0.578193 | + | 1.77950i | 0.0201668 | + | 0.0620671i | ||||
\(823\) | 14.9677 | − | 10.8747i | 0.521742 | − | 0.379068i | −0.295518 | − | 0.955337i | \(-0.595492\pi\) |
0.817260 | + | 0.576269i | \(0.195492\pi\) | |||||||
\(824\) | 2.71727 | + | 8.36291i | 0.0946607 | + | 0.291336i | ||||
\(825\) | 10.7634 | − | 33.1264i | 0.374734 | − | 1.15331i | ||||
\(826\) | 1.88503 | + | 1.36956i | 0.0655887 | + | 0.0476530i | ||||
\(827\) | 1.17077 | − | 3.60326i | 0.0407116 | − | 0.125297i | −0.928635 | − | 0.370995i | \(-0.879017\pi\) |
0.969347 | + | 0.245697i | \(0.0790169\pi\) | |||||||
\(828\) | −44.6720 | + | 32.4561i | −1.55246 | + | 1.12793i | ||||
\(829\) | −2.74701 | + | 1.99582i | −0.0954077 | + | 0.0693177i | −0.634466 | − | 0.772950i | \(-0.718780\pi\) |
0.539059 | + | 0.842268i | \(0.318780\pi\) | |||||||
\(830\) | 4.54502 | + | 3.30215i | 0.157760 | + | 0.114619i | ||||
\(831\) | −59.4775 | −2.06325 | ||||||||
\(832\) | 22.6955 | 0.786823 | ||||||||
\(833\) | 4.24916 | + | 3.08720i | 0.147225 | + | 0.106965i | ||||
\(834\) | 0.201250 | + | 0.619383i | 0.00696870 | + | 0.0214475i | ||||
\(835\) | −18.1380 | + | 55.8231i | −0.627692 | + | 1.93184i | ||||
\(836\) | −21.0642 | −0.728521 | ||||||||
\(837\) | −13.5581 | − | 80.7312i | −0.468635 | − | 2.79048i | ||||
\(838\) | −2.51142 | −0.0867554 | ||||||||
\(839\) | 5.87082 | − | 18.0685i | 0.202683 | − | 0.623795i | −0.797117 | − | 0.603825i | \(-0.793643\pi\) |
0.999801 | − | 0.0199705i | \(-0.00635723\pi\) | |||||||
\(840\) | 4.20027 | + | 12.9271i | 0.144923 | + | 0.446028i | ||||
\(841\) | −9.65661 | − | 7.01594i | −0.332987 | − | 0.241929i | ||||
\(842\) | 3.90618 | 0.134616 | ||||||||
\(843\) | −16.8034 | −0.578740 | ||||||||
\(844\) | −5.36910 | − | 3.90088i | −0.184812 | − | 0.134274i | ||||
\(845\) | 1.71488 | − | 1.24594i | 0.0589938 | − | 0.0428615i | ||||
\(846\) | 12.2987 | − | 8.93556i | 0.422840 | − | 0.307211i | ||||
\(847\) | −2.50255 | + | 7.70207i | −0.0859888 | + | 0.264646i | ||||
\(848\) | 20.5265 | + | 14.9134i | 0.704883 | + | 0.512128i | ||||
\(849\) | −1.17512 | + | 3.61664i | −0.0403299 | + | 0.124123i | ||||
\(850\) | −0.385263 | − | 1.18572i | −0.0132144 | − | 0.0406698i | ||||
\(851\) | 12.9955 | − | 9.44176i | 0.445479 | − | 0.323659i | ||||
\(852\) | −22.1765 | − | 68.2524i | −0.759756 | − | 2.33829i | ||||
\(853\) | 7.10680 | + | 21.8725i | 0.243332 | + | 0.748899i | 0.995906 | + | 0.0903917i | \(0.0288119\pi\) |
−0.752574 | + | 0.658507i | \(0.771188\pi\) | |||||||
\(854\) | −0.949240 | + | 0.689663i | −0.0324823 | + | 0.0235998i | ||||
\(855\) | 36.0478 | + | 110.944i | 1.23281 | + | 3.79419i | ||||
\(856\) | 5.29247 | − | 16.2885i | 0.180893 | − | 0.556731i | ||||
\(857\) | −0.0834558 | − | 0.0606342i | −0.00285079 | − | 0.00207122i | 0.586359 | − | 0.810051i | \(-0.300561\pi\) |
−0.589210 | + | 0.807980i | \(0.700561\pi\) | |||||||
\(858\) | 1.99319 | − | 6.13440i | 0.0680463 | − | 0.209425i | ||||
\(859\) | 34.8598 | − | 25.3271i | 1.18940 | − | 0.864150i | 0.196199 | − | 0.980564i | \(-0.437140\pi\) |
0.993201 | + | 0.116414i | \(0.0371400\pi\) | |||||||
\(860\) | −24.2095 | + | 17.5893i | −0.825538 | + | 0.599789i | ||||
\(861\) | 9.47826 | + | 6.88636i | 0.323018 | + | 0.234687i | ||||
\(862\) | −2.10487 | −0.0716920 | ||||||||
\(863\) | −7.65259 | −0.260497 | −0.130249 | − | 0.991481i | \(-0.541578\pi\) | ||||
−0.130249 | + | 0.991481i | \(0.541578\pi\) | |||||||
\(864\) | 35.0125 | + | 25.4380i | 1.19115 | + | 0.865420i | ||||
\(865\) | −6.20253 | − | 19.0894i | −0.210892 | − | 0.649060i | ||||
\(866\) | 2.20869 | − | 6.79766i | 0.0750544 | − | 0.230994i | ||||
\(867\) | 3.24511 | 0.110210 | ||||||||
\(868\) | 6.34527 | − | 12.7452i | 0.215373 | − | 0.432601i | ||||
\(869\) | −19.6293 | −0.665877 | ||||||||
\(870\) | −5.16692 | + | 15.9021i | −0.175175 | + | 0.539133i | ||||
\(871\) | 15.5371 | + | 47.8183i | 0.526454 | + | 1.62026i | ||||
\(872\) | 5.43559 | + | 3.94919i | 0.184072 | + | 0.133736i | ||||
\(873\) | −19.0960 | −0.646301 | ||||||||
\(874\) | 4.79516 | 0.162199 | ||||||||
\(875\) | 0.464624 | + | 0.337569i | 0.0157072 | + | 0.0114119i | ||||
\(876\) | 72.2805 | − | 52.5148i | 2.44213 | − | 1.77431i | ||||
\(877\) | −7.19496 | + | 5.22745i | −0.242957 | + | 0.176518i | −0.702600 | − | 0.711586i | \(-0.747977\pi\) |
0.459643 | + | 0.888104i | \(0.347977\pi\) | |||||||
\(878\) | −3.15421 | + | 9.70765i | −0.106449 | + | 0.327617i | ||||
\(879\) | −50.7724 | − | 36.8883i | −1.71251 | − | 1.24421i | ||||
\(880\) | 7.73369 | − | 23.8019i | 0.260703 | − | 0.802360i | ||||
\(881\) | 1.07565 | + | 3.31052i | 0.0362397 | + | 0.111534i | 0.967540 | − | 0.252718i | \(-0.0813245\pi\) |
−0.931300 | + | 0.364252i | \(0.881325\pi\) | |||||||
\(882\) | −8.20601 | + | 5.96201i | −0.276311 | + | 0.200751i | ||||
\(883\) | −5.39868 | − | 16.6154i | −0.181680 | − | 0.559153i | 0.818195 | − | 0.574940i | \(-0.194975\pi\) |
−0.999875 | + | 0.0157869i | \(0.994975\pi\) | |||||||
\(884\) | 2.09839 | + | 6.45817i | 0.0705764 | + | 0.217212i | ||||
\(885\) | −56.6623 | + | 41.1676i | −1.90468 | + | 1.38383i | ||||
\(886\) | 0.750676 | + | 2.31034i | 0.0252195 | + | 0.0776175i | ||||
\(887\) | 13.2363 | − | 40.7372i | 0.444432 | − | 1.36782i | −0.438674 | − | 0.898646i | \(-0.644552\pi\) |
0.883106 | − | 0.469174i | \(-0.155448\pi\) | |||||||
\(888\) | −11.2239 | − | 8.15462i | −0.376648 | − | 0.273651i | ||||
\(889\) | −0.733336 | + | 2.25698i | −0.0245953 | + | 0.0756966i | ||||
\(890\) | −9.44741 | + | 6.86394i | −0.316678 | + | 0.230080i | ||||
\(891\) | −44.8673 | + | 32.5980i | −1.50311 | + | 1.09207i | ||||
\(892\) | −29.1090 | − | 21.1489i | −0.974642 | − | 0.708119i | ||||
\(893\) | 38.8291 | 1.29937 | ||||||||
\(894\) | 11.9355 | 0.399183 | ||||||||
\(895\) | 7.68886 | + | 5.58628i | 0.257010 | + | 0.186729i | ||||
\(896\) | 3.08227 | + | 9.48626i | 0.102971 | + | 0.316914i | ||||
\(897\) | 13.3455 | − | 41.0733i | 0.445594 | − | 1.37140i | ||||
\(898\) | −7.62504 | −0.254451 | ||||||||
\(899\) | 31.5887 | − | 16.4674i | 1.05354 | − | 0.549219i | ||||
\(900\) | −70.8163 | −2.36054 | ||||||||
\(901\) | −2.17202 | + | 6.68478i | −0.0723603 | + | 0.222702i | ||||
\(902\) | 0.477779 | + | 1.47045i | 0.0159083 | + | 0.0489607i | ||||
\(903\) | 17.0990 | + | 12.4232i | 0.569019 | + | 0.413417i | ||||
\(904\) | 6.31347 | 0.209983 | ||||||||
\(905\) | 37.3128 | 1.24032 | ||||||||
\(906\) | −8.74487 | − | 6.35352i | −0.290529 | − | 0.211082i | ||||
\(907\) | −7.76613 | + | 5.64242i | −0.257870 | + | 0.187354i | −0.709208 | − | 0.705000i | \(-0.750947\pi\) |
0.451337 | + | 0.892353i | \(0.350947\pi\) | |||||||
\(908\) | −38.6320 | + | 28.0678i | −1.28205 | + | 0.931461i | ||||
\(909\) | 31.8363 | − | 97.9822i | 1.05594 | − | 3.24986i | ||||
\(910\) | −3.02382 | − | 2.19693i | −0.100239 | − | 0.0728277i | ||||
\(911\) | 9.76933 | − | 30.0669i | 0.323672 | − | 0.996161i | −0.648364 | − | 0.761331i | \(-0.724546\pi\) |
0.972036 | − | 0.234831i | \(-0.0754536\pi\) | |||||||
\(912\) | 17.8555 | + | 54.9535i | 0.591254 | + | 1.81969i | ||||
\(913\) | −12.4601 | + | 9.05282i | −0.412370 | + | 0.299605i | ||||
\(914\) | 1.64115 | + | 5.05093i | 0.0542843 | + | 0.167070i | ||||
\(915\) | −10.8987 | − | 33.5428i | −0.360301 | − | 1.10889i | ||||
\(916\) | 29.6751 | − | 21.5602i | 0.980492 | − | 0.712369i | ||||
\(917\) | −3.64126 | − | 11.2066i | −0.120245 | − | 0.370076i | ||||
\(918\) | −1.16513 | + | 3.58589i | −0.0384549 | + | 0.118352i | ||||
\(919\) | 42.9366 | + | 31.1953i | 1.41635 | + | 1.02904i | 0.992361 | + | 0.123370i | \(0.0393702\pi\) |
0.423988 | + | 0.905668i | \(0.360630\pi\) | |||||||
\(920\) | −3.71140 | + | 11.4225i | −0.122361 | + | 0.376589i | ||||
\(921\) | 4.06049 | − | 2.95012i | 0.133798 | − | 0.0972098i | ||||
\(922\) | −3.19554 | + | 2.32169i | −0.105239 | + | 0.0764609i | ||||
\(923\) | 32.4731 | + | 23.5931i | 1.06886 | + | 0.776575i | ||||
\(924\) | −18.3203 | −0.602692 | ||||||||
\(925\) | 20.6011 | 0.677359 | ||||||||
\(926\) | 2.10852 | + | 1.53193i | 0.0692903 | + | 0.0503423i | ||||
\(927\) | 20.2825 | + | 62.4230i | 0.666164 | + | 2.05024i | ||||
\(928\) | −5.81971 | + | 17.9112i | −0.191041 | + | 0.587965i | ||||
\(929\) | 20.9731 | 0.688107 | 0.344053 | − | 0.938950i | \(-0.388200\pi\) | ||||
0.344053 | + | 0.938950i | \(0.388200\pi\) | |||||||
\(930\) | −10.3840 | − | 10.1925i | −0.340506 | − | 0.334225i | ||||
\(931\) | −25.9077 | −0.849089 | ||||||||
\(932\) | −1.74893 | + | 5.38266i | −0.0572882 | + | 0.176315i | ||||
\(933\) | −26.0259 | − | 80.0994i | −0.852049 | − | 2.62234i | ||||
\(934\) | 3.99159 | + | 2.90006i | 0.130609 | + | 0.0948930i | ||||
\(935\) | 6.93310 | 0.226737 | ||||||||
\(936\) | −26.6737 | −0.871856 | ||||||||
\(937\) | 41.6228 | + | 30.2407i | 1.35976 | + | 0.987922i | 0.998460 | + | 0.0554718i | \(0.0176663\pi\) |
0.361298 | + | 0.932450i | \(0.382334\pi\) | |||||||
\(938\) | −3.92809 | + | 2.85392i | −0.128257 | + | 0.0931839i | ||||
\(939\) | −74.0576 | + | 53.8060i | −2.41678 | + | 1.75589i | ||||
\(940\) | −14.7755 | + | 45.4743i | −0.481923 | + | 1.48321i | ||||
\(941\) | −20.3378 | − | 14.7763i | −0.662995 | − | 0.481694i | 0.204678 | − | 0.978829i | \(-0.434385\pi\) |
−0.867673 | + | 0.497135i | \(0.834385\pi\) | |||||||
\(942\) | −5.60260 | + | 17.2430i | −0.182542 | + | 0.561808i | ||||
\(943\) | 3.19900 | + | 9.84550i | 0.104174 | + | 0.320614i | ||||
\(944\) | −20.0709 | + | 14.5823i | −0.653251 | + | 0.474615i | ||||
\(945\) | 18.8624 | + | 58.0525i | 0.613594 | + | 1.88845i | ||||
\(946\) | 0.861924 | + | 2.65273i | 0.0280236 | + | 0.0862477i | ||||
\(947\) | −39.1334 | + | 28.4321i | −1.27167 | + | 0.923919i | −0.999268 | − | 0.0382653i | \(-0.987817\pi\) |
−0.272398 | + | 0.962185i | \(0.587817\pi\) | |||||||
\(948\) | 17.2454 | + | 53.0759i | 0.560104 | + | 1.72382i | ||||
\(949\) | −15.4419 | + | 47.5252i | −0.501264 | + | 1.54273i | ||||
\(950\) | 4.97526 | + | 3.61474i | 0.161419 | + | 0.117278i | ||||
\(951\) | 13.8914 | − | 42.7533i | 0.450459 | − | 1.38637i | ||||
\(952\) | −1.07907 | + | 0.783987i | −0.0349727 | + | 0.0254092i | ||||
\(953\) | −13.4663 | + | 9.78385i | −0.436217 | + | 0.316930i | −0.784130 | − | 0.620597i | \(-0.786890\pi\) |
0.347913 | + | 0.937527i | \(0.386890\pi\) | |||||||
\(954\) | −10.9816 | − | 7.97862i | −0.355543 | − | 0.258317i | ||||
\(955\) | 73.2209 | 2.36937 | ||||||||
\(956\) | −2.24311 | −0.0725474 | ||||||||
\(957\) | −37.0846 | − | 26.9435i | −1.19878 | − | 0.870961i | ||||
\(958\) | 1.06589 | + | 3.28046i | 0.0344372 | + | 0.105987i | ||||
\(959\) | −0.918528 | + | 2.82694i | −0.0296608 | + | 0.0912866i | ||||
\(960\) | −65.8795 | −2.12625 | ||||||||
\(961\) | 0.577086 | + | 30.9946i | 0.0186157 | + | 0.999827i | ||||
\(962\) | 3.81495 | 0.122999 | ||||||||
\(963\) | 39.5044 | − | 121.582i | 1.27301 | − | 3.91793i | ||||
\(964\) | 11.2951 | + | 34.7627i | 0.363791 | + | 1.11963i | ||||
\(965\) | −44.9464 | − | 32.6554i | −1.44687 | − | 1.05122i | ||||
\(966\) | 4.17051 | 0.134184 | ||||||||
\(967\) | 15.9979 | 0.514459 | 0.257229 | − | 0.966350i | \(-0.417190\pi\) | ||||
0.257229 | + | 0.966350i | \(0.417190\pi\) | |||||||
\(968\) | 5.00000 | + | 3.63271i | 0.160706 | + | 0.116760i | ||||
\(969\) | −12.9500 | + | 9.40873i | −0.416014 | + | 0.302252i | ||||
\(970\) | −1.65206 | + | 1.20029i | −0.0530446 | + | 0.0385391i | ||||
\(971\) | −3.17351 | + | 9.76706i | −0.101843 | + | 0.313440i | −0.988976 | − | 0.148073i | \(-0.952693\pi\) |
0.887134 | + | 0.461513i | \(0.152693\pi\) | |||||||
\(972\) | 58.5384 | + | 42.5306i | 1.87762 | + | 1.36417i | ||||
\(973\) | −0.319709 | + | 0.983962i | −0.0102494 | + | 0.0315444i | ||||
\(974\) | −2.44487 | − | 7.52452i | −0.0783385 | − | 0.241101i | ||||
\(975\) | 44.8091 | − | 32.5557i | 1.43504 | − | 1.04262i | ||||
\(976\) | −3.86054 | − | 11.8815i | −0.123573 | − | 0.380318i | ||||
\(977\) | 5.98322 | + | 18.4145i | 0.191420 | + | 0.589131i | 1.00000 | 0.000743753i | \(0.000236744\pi\) | |
−0.808580 | + | 0.588387i | \(0.799763\pi\) | |||||||
\(978\) | −3.64743 | + | 2.65002i | −0.116632 | + | 0.0847382i | ||||
\(979\) | −9.89292 | − | 30.4473i | −0.316179 | − | 0.973099i | ||||
\(980\) | 9.85854 | − | 30.3415i | 0.314920 | − | 0.969223i | ||||
\(981\) | 40.5727 | + | 29.4778i | 1.29539 | + | 0.941155i | ||||
\(982\) | 2.23703 | − | 6.88486i | 0.0713864 | − | 0.219705i | ||||
\(983\) | 15.3373 | − | 11.1432i | 0.489183 | − | 0.355412i | −0.315687 | − | 0.948863i | \(-0.602235\pi\) |
0.804870 | + | 0.593451i | \(0.202235\pi\) | |||||||
\(984\) | 7.23336 | − | 5.25534i | 0.230591 | − | 0.167534i | ||||
\(985\) | 39.0304 | + | 28.3573i | 1.24361 | + | 0.903538i | ||||
\(986\) | −1.64076 | −0.0522523 | ||||||||
\(987\) | 33.7710 | 1.07494 | ||||||||
\(988\) | −27.0984 | − | 19.6881i | −0.862115 | − | 0.626363i | ||||
\(989\) | 5.77107 | + | 17.7615i | 0.183509 | + | 0.564783i | ||||
\(990\) | −4.13751 | + | 12.7339i | −0.131499 | + | 0.404711i | ||||
\(991\) | −27.8209 | −0.883761 | −0.441880 | − | 0.897074i | \(-0.645688\pi\) | ||||
−0.441880 | + | 0.897074i | \(0.645688\pi\) | |||||||
\(992\) | −11.6960 | − | 11.4802i | −0.371347 | − | 0.364497i | ||||
\(993\) | 88.9716 | 2.82343 | ||||||||
\(994\) | −1.19780 | + | 3.68645i | −0.0379919 | + | 0.116927i | ||||
\(995\) | 4.86790 | + | 14.9818i | 0.154323 | + | 0.474956i | ||||
\(996\) | 35.4250 | + | 25.7378i | 1.12248 | + | 0.815532i | ||||
\(997\) | 43.8208 | 1.38782 | 0.693909 | − | 0.720063i | \(-0.255887\pi\) | ||||
0.693909 | + | 0.720063i | \(0.255887\pi\) | |||||||
\(998\) | 6.29341 | 0.199215 | ||||||||
\(999\) | −50.4037 | − | 36.6204i | −1.59470 | − | 1.15862i |
(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 | 527.2.h.c.256.10 | yes | 96 | |
31.4 | even | 5 | inner | 527.2.h.c.35.10 | ✓ | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
527.2.h.c.35.10 | ✓ | 96 | 31.4 | even | 5 | inner | |
527.2.h.c.256.10 | yes | 96 | 1.1 | even | 1 | trivial |