Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 21.6 | ||
Character | \(\chi\) | \(=\) | 64.21 |
Dual form | 64.2.i.a.61.6 |
$q$-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 \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{13}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19357 | + | 0.758552i | 0.843979 | + | 0.536377i | ||||
\(3\) | −0.599600 | − | 3.01439i | −0.346179 | − | 1.74036i | −0.625556 | − | 0.780179i | \(-0.715128\pi\) |
0.279377 | − | 0.960181i | \(-0.409872\pi\) | |||||||
\(4\) | 0.849199 | + | 1.81076i | 0.424600 | + | 0.905381i | ||||
\(5\) | −1.78465 | + | 1.19247i | −0.798122 | + | 0.533288i | −0.886461 | − | 0.462802i | \(-0.846844\pi\) |
0.0883396 | + | 0.996090i | \(0.471844\pi\) | |||||||
\(6\) | 1.57091 | − | 4.05270i | 0.641321 | − | 1.65451i | ||||
\(7\) | 1.99271 | + | 0.825409i | 0.753175 | + | 0.311975i | 0.726036 | − | 0.687656i | \(-0.241360\pi\) |
0.0271386 | + | 0.999632i | \(0.491360\pi\) | |||||||
\(8\) | −0.359981 | + | 2.80543i | −0.127273 | + | 0.991868i | ||||
\(9\) | −5.95540 | + | 2.46681i | −1.98513 | + | 0.822270i | ||||
\(10\) | −3.03465 | + | 0.0695368i | −0.959641 | + | 0.0219895i | ||||
\(11\) | −3.15038 | − | 0.626650i | −0.949877 | − | 0.188942i | −0.304247 | − | 0.952593i | \(-0.598405\pi\) |
−0.645629 | + | 0.763651i | \(0.723405\pi\) | |||||||
\(12\) | 4.94917 | − | 3.64555i | 1.42870 | − | 1.05238i | ||||
\(13\) | 0.0943077 | + | 0.0630144i | 0.0261563 | + | 0.0174770i | 0.568580 | − | 0.822628i | \(-0.307493\pi\) |
−0.542423 | + | 0.840105i | \(0.682493\pi\) | |||||||
\(14\) | 1.75232 | + | 2.49676i | 0.468327 | + | 0.667286i | ||||
\(15\) | 4.66465 | + | 4.66465i | 1.20441 | + | 1.20441i | ||||
\(16\) | −2.55772 | + | 3.07540i | −0.639430 | + | 0.768849i | ||||
\(17\) | 2.42319 | − | 2.42319i | 0.587710 | − | 0.587710i | −0.349301 | − | 0.937011i | \(-0.613581\pi\) |
0.937011 | + | 0.349301i | \(0.113581\pi\) | |||||||
\(18\) | −8.97937 | − | 1.57318i | −2.11646 | − | 0.370802i | ||||
\(19\) | 1.93596 | − | 2.89737i | 0.444140 | − | 0.664702i | −0.540088 | − | 0.841609i | \(-0.681609\pi\) |
0.984228 | + | 0.176906i | \(0.0566089\pi\) | |||||||
\(20\) | −3.67480 | − | 2.21894i | −0.821711 | − | 0.496171i | ||||
\(21\) | 1.29328 | − | 6.50174i | 0.282216 | − | 1.41879i | ||||
\(22\) | −3.28485 | − | 3.13768i | −0.700331 | − | 0.668955i | ||||
\(23\) | −1.33543 | − | 3.22402i | −0.278457 | − | 0.672255i | 0.721336 | − | 0.692585i | \(-0.243528\pi\) |
−0.999793 | + | 0.0203301i | \(0.993528\pi\) | |||||||
\(24\) | 8.67250 | − | 0.597008i | 1.77027 | − | 0.121864i | ||||
\(25\) | −0.150405 | + | 0.363110i | −0.0300810 | + | 0.0726220i | ||||
\(26\) | 0.0647628 | + | 0.146749i | 0.0127010 | + | 0.0287799i | ||||
\(27\) | 5.88424 | + | 8.80639i | 1.13242 | + | 1.69479i | ||||
\(28\) | 0.197591 | + | 4.30927i | 0.0373412 | + | 0.814375i | ||||
\(29\) | 2.01879 | − | 0.401561i | 0.374879 | − | 0.0745681i | −0.00405495 | − | 0.999992i | \(-0.501291\pi\) |
0.378934 | + | 0.925424i | \(0.376291\pi\) | |||||||
\(30\) | 2.02919 | + | 9.10594i | 0.370477 | + | 1.66251i | ||||
\(31\) | − | 4.16617i | − | 0.748266i | −0.927375 | − | 0.374133i | \(-0.877940\pi\) | ||
0.927375 | − | 0.374133i | \(-0.122060\pi\) | |||||||
\(32\) | −5.38566 | + | 1.73052i | −0.952058 | + | 0.305916i | ||||
\(33\) | 9.87224i | 1.71854i | ||||||||
\(34\) | 4.73035 | − | 1.05412i | 0.811248 | − | 0.180781i | ||||
\(35\) | −4.54058 | + | 0.903177i | −0.767498 | + | 0.152665i | ||||
\(36\) | −9.52413 | − | 8.68901i | −1.58736 | − | 1.44817i | ||||
\(37\) | 5.48499 | + | 8.20886i | 0.901726 | + | 1.34953i | 0.936697 | + | 0.350140i | \(0.113866\pi\) |
−0.0349711 | + | 0.999388i | \(0.511134\pi\) | |||||||
\(38\) | 4.50850 | − | 1.98968i | 0.731376 | − | 0.322768i | ||||
\(39\) | 0.133403 | − | 0.322064i | 0.0213616 | − | 0.0515715i | ||||
\(40\) | −2.70294 | − | 5.43598i | −0.427372 | − | 0.859504i | ||||
\(41\) | 0.347569 | + | 0.839106i | 0.0542812 | + | 0.131046i | 0.948694 | − | 0.316197i | \(-0.102406\pi\) |
−0.894413 | + | 0.447243i | \(0.852406\pi\) | |||||||
\(42\) | 6.47551 | − | 6.77923i | 0.999193 | − | 1.04606i | ||||
\(43\) | 0.925855 | − | 4.65459i | 0.141192 | − | 0.709818i | −0.843723 | − | 0.536778i | \(-0.819641\pi\) |
0.984915 | − | 0.173039i | \(-0.0553588\pi\) | |||||||
\(44\) | −1.54059 | − | 6.23675i | −0.232253 | − | 0.940225i | ||||
\(45\) | 7.68675 | − | 11.5040i | 1.14587 | − | 1.71492i | ||||
\(46\) | 0.851658 | − | 4.86108i | 0.125570 | − | 0.716727i | ||||
\(47\) | −8.31575 | + | 8.31575i | −1.21298 | + | 1.21298i | −0.242935 | + | 0.970043i | \(0.578110\pi\) |
−0.970043 | + | 0.242935i | \(0.921890\pi\) | |||||||
\(48\) | 10.8041 | + | 5.86597i | 1.55943 | + | 0.846680i | ||||
\(49\) | −1.66014 | − | 1.66014i | −0.237163 | − | 0.237163i | ||||
\(50\) | −0.454956 | + | 0.319306i | −0.0643405 | + | 0.0451566i | ||||
\(51\) | −8.75739 | − | 5.85150i | −1.22628 | − | 0.819374i | ||||
\(52\) | −0.0340181 | + | 0.224281i | −0.00471746 | + | 0.0311021i | ||||
\(53\) | 0.565279 | + | 0.112441i | 0.0776470 | + | 0.0154450i | 0.233761 | − | 0.972294i | \(-0.424897\pi\) |
−0.156114 | + | 0.987739i | \(0.549897\pi\) | |||||||
\(54\) | 0.343130 | + | 14.9745i | 0.0466941 | + | 2.03777i | ||||
\(55\) | 6.36961 | − | 2.63838i | 0.858878 | − | 0.355759i | ||||
\(56\) | −3.03296 | + | 5.29328i | −0.405297 | + | 0.707344i | ||||
\(57\) | −9.89462 | − | 4.09848i | −1.31057 | − | 0.542857i | ||||
\(58\) | 2.71416 | + | 1.05206i | 0.356386 | + | 0.138143i | ||||
\(59\) | −0.649771 | + | 0.434163i | −0.0845930 | + | 0.0565232i | −0.597147 | − | 0.802132i | \(-0.703699\pi\) |
0.512554 | + | 0.858655i | \(0.328699\pi\) | |||||||
\(60\) | −4.48535 | + | 12.4078i | −0.579056 | + | 1.60184i | ||||
\(61\) | −0.528753 | − | 2.65822i | −0.0676999 | − | 0.340350i | 0.932059 | − | 0.362306i | \(-0.118011\pi\) |
−0.999759 | + | 0.0219561i | \(0.993011\pi\) | |||||||
\(62\) | 3.16025 | − | 4.97260i | 0.401353 | − | 0.631520i | ||||
\(63\) | −13.9035 | −1.75168 | ||||||||
\(64\) | −7.74083 | − | 2.01980i | −0.967603 | − | 0.252475i | ||||
\(65\) | −0.243449 | −0.0301962 | ||||||||
\(66\) | −7.48860 | + | 11.7832i | −0.921783 | + | 1.45041i | ||||
\(67\) | 0.971210 | + | 4.88260i | 0.118652 | + | 0.596505i | 0.993663 | + | 0.112401i | \(0.0358542\pi\) |
−0.875011 | + | 0.484104i | \(0.839146\pi\) | |||||||
\(68\) | 6.44559 | + | 2.33005i | 0.781643 | + | 0.282560i | ||||
\(69\) | −8.91774 | + | 5.95864i | −1.07357 | + | 0.717336i | ||||
\(70\) | −6.10459 | − | 2.36626i | −0.729638 | − | 0.282822i | ||||
\(71\) | 9.38522 | + | 3.88748i | 1.11382 | + | 0.461360i | 0.862252 | − | 0.506480i | \(-0.169054\pi\) |
0.251569 | + | 0.967839i | \(0.419054\pi\) | |||||||
\(72\) | −4.77662 | − | 17.5955i | −0.562930 | − | 2.07364i | ||||
\(73\) | 12.6303 | − | 5.23165i | 1.47827 | − | 0.612318i | 0.509539 | − | 0.860447i | \(-0.329816\pi\) |
0.968727 | + | 0.248129i | \(0.0798158\pi\) | |||||||
\(74\) | 0.319848 | + | 13.9585i | 0.0371816 | + | 1.62264i | ||||
\(75\) | 1.18474 | + | 0.235659i | 0.136802 | + | 0.0272116i | ||||
\(76\) | 6.89047 | + | 1.04512i | 0.790391 | + | 0.119884i | ||||
\(77\) | −5.76057 | − | 3.84909i | −0.656478 | − | 0.438645i | ||||
\(78\) | 0.403528 | − | 0.283211i | 0.0456905 | − | 0.0320674i | ||||
\(79\) | −3.50532 | − | 3.50532i | −0.394379 | − | 0.394379i | 0.481866 | − | 0.876245i | \(-0.339959\pi\) |
−0.876245 | + | 0.481866i | \(0.839959\pi\) | |||||||
\(80\) | 0.897337 | − | 8.53852i | 0.100325 | − | 0.954636i | ||||
\(81\) | 9.34353 | − | 9.34353i | 1.03817 | − | 1.03817i | ||||
\(82\) | −0.221658 | + | 1.26518i | −0.0244781 | + | 0.139715i | ||||
\(83\) | −8.25513 | + | 12.3547i | −0.906118 | + | 1.35610i | 0.0281778 | + | 0.999603i | \(0.491030\pi\) |
−0.934296 | + | 0.356499i | \(0.883970\pi\) | |||||||
\(84\) | 12.8713 | − | 3.17945i | 1.40438 | − | 0.346907i | ||||
\(85\) | −1.43498 | + | 7.21413i | −0.155645 | + | 0.782483i | ||||
\(86\) | 4.63581 | − | 4.85325i | 0.499892 | − | 0.523339i | ||||
\(87\) | −2.42093 | − | 5.84464i | −0.259551 | − | 0.626611i | ||||
\(88\) | 2.89210 | − | 8.61259i | 0.308299 | − | 0.918105i | ||||
\(89\) | 4.98881 | − | 12.0441i | 0.528813 | − | 1.27667i | −0.403488 | − | 0.914985i | \(-0.632202\pi\) |
0.932301 | − | 0.361683i | \(-0.117798\pi\) | |||||||
\(90\) | 17.9010 | − | 7.90003i | 1.88694 | − | 0.832736i | ||||
\(91\) | 0.135916 | + | 0.203412i | 0.0142478 | + | 0.0213234i | ||||
\(92\) | 4.70389 | − | 5.15599i | 0.490414 | − | 0.537549i | ||||
\(93\) | −12.5585 | + | 2.49803i | −1.30225 | + | 0.259034i | ||||
\(94\) | −16.2333 | + | 3.61747i | −1.67434 | + | 0.373114i | ||||
\(95\) | 7.47938i | 0.767368i | ||||||||
\(96\) | 8.44572 | + | 15.1969i | 0.861988 | + | 1.55102i | ||||
\(97\) | − | 4.06140i | − | 0.412373i | −0.978513 | − | 0.206187i | \(-0.933895\pi\) | ||
0.978513 | − | 0.206187i | \(-0.0661054\pi\) | |||||||
\(98\) | −0.722186 | − | 3.24079i | −0.0729518 | − | 0.327369i | ||||
\(99\) | 20.3076 | − | 4.03944i | 2.04099 | − | 0.405979i | ||||
\(100\) | −0.785230 | + | 0.0360048i | −0.0785230 | + | 0.00360048i | ||||
\(101\) | 3.05636 | + | 4.57417i | 0.304119 | + | 0.455147i | 0.951780 | − | 0.306782i | \(-0.0992524\pi\) |
−0.647660 | + | 0.761929i | \(0.724252\pi\) | |||||||
\(102\) | −6.01386 | − | 13.6271i | −0.595461 | − | 1.34928i | ||||
\(103\) | −5.12950 | + | 12.3837i | −0.505425 | + | 1.22020i | 0.441066 | + | 0.897475i | \(0.354600\pi\) |
−0.946491 | + | 0.322730i | \(0.895400\pi\) | |||||||
\(104\) | −0.210731 | + | 0.241889i | −0.0206639 | + | 0.0237192i | ||||
\(105\) | 5.44506 | + | 13.1455i | 0.531384 | + | 1.28287i | ||||
\(106\) | 0.589405 | + | 0.562999i | 0.0572481 | + | 0.0546833i | ||||
\(107\) | 1.35370 | − | 6.80550i | 0.130867 | − | 0.657913i | −0.858540 | − | 0.512746i | \(-0.828628\pi\) |
0.989407 | − | 0.145167i | \(-0.0463718\pi\) | |||||||
\(108\) | −10.9494 | + | 18.1334i | −1.05361 | + | 1.74488i | ||||
\(109\) | −11.0688 | + | 16.5656i | −1.06020 | + | 1.58670i | −0.281225 | + | 0.959642i | \(0.590741\pi\) |
−0.778973 | + | 0.627057i | \(0.784259\pi\) | |||||||
\(110\) | 9.60390 | + | 1.68260i | 0.915695 | + | 0.160429i | ||||
\(111\) | 21.4559 | − | 21.4559i | 2.03651 | − | 2.03651i | ||||
\(112\) | −7.63526 | + | 4.01722i | −0.721465 | + | 0.379591i | ||||
\(113\) | 6.43123 | + | 6.43123i | 0.605000 | + | 0.605000i | 0.941635 | − | 0.336635i | \(-0.109289\pi\) |
−0.336635 | + | 0.941635i | \(0.609289\pi\) | |||||||
\(114\) | −8.70097 | − | 12.3974i | −0.814920 | − | 1.16112i | ||||
\(115\) | 6.22783 | + | 4.16130i | 0.580748 | + | 0.388044i | ||||
\(116\) | 2.44148 | + | 3.31454i | 0.226686 | + | 0.307747i | ||||
\(117\) | −0.717085 | − | 0.142637i | −0.0662945 | − | 0.0131868i | ||||
\(118\) | −1.10488 | + | 0.0253175i | −0.101712 | + | 0.00233067i | ||||
\(119\) | 6.82884 | − | 2.82860i | 0.625999 | − | 0.259297i | ||||
\(120\) | −14.7655 | + | 11.4071i | −1.34790 | + | 1.04132i | ||||
\(121\) | −0.630442 | − | 0.261137i | −0.0573129 | − | 0.0237398i | ||||
\(122\) | 1.38530 | − | 3.57385i | 0.125419 | − | 0.323561i | ||||
\(123\) | 2.32099 | − | 1.55084i | 0.209277 | − | 0.139834i | ||||
\(124\) | 7.54394 | − | 3.53791i | 0.677466 | − | 0.317713i | ||||
\(125\) | −2.25827 | − | 11.3531i | −0.201986 | − | 1.01545i | ||||
\(126\) | −16.5948 | − | 10.5466i | −1.47838 | − | 0.939561i | ||||
\(127\) | −5.12090 | −0.454406 | −0.227203 | − | 0.973847i | \(-0.572958\pi\) | ||||
−0.227203 | + | 0.973847i | \(0.572958\pi\) | |||||||
\(128\) | −7.70706 | − | 8.28258i | −0.681215 | − | 0.732084i | ||||
\(129\) | −14.5859 | −1.28422 | ||||||||
\(130\) | −0.290573 | − | 0.184669i | −0.0254849 | − | 0.0161965i | ||||
\(131\) | −2.39632 | − | 12.0471i | −0.209368 | − | 1.05256i | −0.932312 | − | 0.361656i | \(-0.882211\pi\) |
0.722944 | − | 0.690907i | \(-0.242789\pi\) | |||||||
\(132\) | −17.8763 | + | 8.38350i | −1.55593 | + | 0.729690i | ||||
\(133\) | 6.24933 | − | 4.17567i | 0.541886 | − | 0.362076i | ||||
\(134\) | −2.54450 | + | 6.56442i | −0.219812 | + | 0.567080i | ||||
\(135\) | −21.0027 | − | 8.69960i | −1.80762 | − | 0.748742i | ||||
\(136\) | 5.92578 | + | 7.67038i | 0.508131 | + | 0.657730i | ||||
\(137\) | −1.03177 | + | 0.427371i | −0.0881496 | + | 0.0365128i | −0.426323 | − | 0.904571i | \(-0.640191\pi\) |
0.338173 | + | 0.941084i | \(0.390191\pi\) | |||||||
\(138\) | −15.1638 | + | 0.347469i | −1.29083 | + | 0.0295785i | ||||
\(139\) | 3.00073 | + | 0.596882i | 0.254518 | + | 0.0506269i | 0.320700 | − | 0.947181i | \(-0.396082\pi\) |
−0.0661819 | + | 0.997808i | \(0.521082\pi\) | |||||||
\(140\) | −5.49130 | − | 7.45493i | −0.464099 | − | 0.630057i | ||||
\(141\) | 30.0531 | + | 20.0808i | 2.53093 | + | 1.69111i | ||||
\(142\) | 8.25302 | + | 11.7591i | 0.692578 | + | 0.986805i | ||||
\(143\) | −0.257618 | − | 0.257618i | −0.0215431 | − | 0.0215431i | ||||
\(144\) | 7.64585 | − | 24.6246i | 0.637154 | − | 2.05205i | ||||
\(145\) | −3.12399 | + | 3.12399i | −0.259433 | + | 0.259433i | ||||
\(146\) | 19.0436 | + | 3.33643i | 1.57606 | + | 0.276125i | ||||
\(147\) | −4.00890 | + | 5.99974i | −0.330648 | + | 0.494850i | ||||
\(148\) | −10.2065 | + | 16.9030i | −0.838965 | + | 1.38942i | ||||
\(149\) | −0.649276 | + | 3.26413i | −0.0531907 | + | 0.267408i | −0.998224 | − | 0.0595651i | \(-0.981029\pi\) |
0.945034 | + | 0.326973i | \(0.106029\pi\) | |||||||
\(150\) | 1.23530 | + | 1.17996i | 0.100862 | + | 0.0963434i | ||||
\(151\) | −1.38074 | − | 3.33339i | −0.112363 | − | 0.271268i | 0.857688 | − | 0.514171i | \(-0.171900\pi\) |
−0.970051 | + | 0.242903i | \(0.921900\pi\) | |||||||
\(152\) | 7.43145 | + | 6.47420i | 0.602770 | + | 0.525127i | ||||
\(153\) | −8.45353 | + | 20.4086i | −0.683427 | + | 1.64994i | ||||
\(154\) | −3.95589 | − | 8.96383i | −0.318774 | − | 0.722326i | ||||
\(155\) | 4.96802 | + | 7.43517i | 0.399041 | + | 0.597207i | ||||
\(156\) | 0.696467 | − | 0.0319348i | 0.0557620 | − | 0.00255683i | ||||
\(157\) | −14.8431 | + | 2.95247i | −1.18460 | + | 0.235633i | −0.747800 | − | 0.663924i | \(-0.768890\pi\) |
−0.436805 | + | 0.899556i | \(0.643890\pi\) | |||||||
\(158\) | −1.52487 | − | 6.84280i | −0.121312 | − | 0.544384i | ||||
\(159\) | − | 1.77139i | − | 0.140481i | ||||||
\(160\) | 7.54794 | − | 9.51061i | 0.596717 | − | 0.751880i | ||||
\(161\) | − | 7.52683i | − | 0.593197i | ||||||
\(162\) | 18.2397 | − | 4.06457i | 1.43304 | − | 0.319343i | ||||
\(163\) | 14.0586 | − | 2.79643i | 1.10115 | − | 0.219033i | 0.389126 | − | 0.921185i | \(-0.372777\pi\) |
0.712027 | + | 0.702152i | \(0.247777\pi\) | |||||||
\(164\) | −1.22427 | + | 1.34193i | −0.0955991 | + | 0.104787i | ||||
\(165\) | −11.7723 | − | 17.6185i | −0.916474 | − | 1.37160i | ||||
\(166\) | −19.2247 | + | 8.48418i | −1.49213 | + | 0.658500i | ||||
\(167\) | 2.52271 | − | 6.09036i | 0.195213 | − | 0.471286i | −0.795716 | − | 0.605670i | \(-0.792905\pi\) |
0.990929 | + | 0.134383i | \(0.0429053\pi\) | |||||||
\(168\) | 17.7746 | + | 5.96869i | 1.37134 | + | 0.460495i | ||||
\(169\) | −4.96996 | − | 11.9985i | −0.382305 | − | 0.922965i | ||||
\(170\) | −7.18504 | + | 7.52204i | −0.551067 | + | 0.576914i | ||||
\(171\) | −4.38217 | + | 22.0307i | −0.335113 | + | 1.68473i | ||||
\(172\) | 9.21458 | − | 2.27617i | 0.702605 | − | 0.173556i | ||||
\(173\) | 10.9283 | − | 16.3554i | 0.830866 | − | 1.24348i | −0.136637 | − | 0.990621i | \(-0.543629\pi\) |
0.967503 | − | 0.252858i | \(-0.0813706\pi\) | |||||||
\(174\) | 1.54392 | − | 8.81236i | 0.117044 | − | 0.668063i | ||||
\(175\) | −0.599428 | + | 0.599428i | −0.0453125 | + | 0.0453125i | ||||
\(176\) | 9.98500 | − | 8.08588i | 0.752648 | − | 0.609496i | ||||
\(177\) | 1.69834 | + | 1.69834i | 0.127655 | + | 0.127655i | ||||
\(178\) | 15.0905 | − | 10.5911i | 1.13108 | − | 0.793837i | ||||
\(179\) | 1.59347 | + | 1.06472i | 0.119102 | + | 0.0795812i | 0.613694 | − | 0.789544i | \(-0.289683\pi\) |
−0.494593 | + | 0.869125i | \(0.664683\pi\) | |||||||
\(180\) | 27.3587 | + | 4.14966i | 2.03919 | + | 0.309297i | ||||
\(181\) | −19.2000 | − | 3.81912i | −1.42713 | − | 0.283873i | −0.579720 | − | 0.814816i | \(-0.696838\pi\) |
−0.847408 | + | 0.530943i | \(0.821838\pi\) | |||||||
\(182\) | 0.00792570 | + | 0.345885i | 0.000587492 | + | 0.0256387i | ||||
\(183\) | −7.69588 | + | 3.18774i | −0.568896 | + | 0.235644i | ||||
\(184\) | 9.52548 | − | 2.58587i | 0.702228 | − | 0.190633i | ||||
\(185\) | −19.5776 | − | 8.10931i | −1.43937 | − | 0.596209i | ||||
\(186\) | −16.8842 | − | 6.54468i | −1.23801 | − | 0.479879i | ||||
\(187\) | −9.15247 | + | 6.11549i | −0.669295 | + | 0.447209i | ||||
\(188\) | −22.1196 | − | 7.99612i | −1.61324 | − | 0.583177i | ||||
\(189\) | 4.45674 | + | 22.4055i | 0.324180 | + | 1.62976i | ||||
\(190\) | −5.67349 | + | 8.92713i | −0.411599 | + | 0.647642i | ||||
\(191\) | 12.6604 | 0.916073 | 0.458037 | − | 0.888933i | \(-0.348553\pi\) | ||||
0.458037 | + | 0.888933i | \(0.348553\pi\) | |||||||
\(192\) | −1.44708 | + | 24.5450i | −0.104434 | + | 1.77138i | ||||
\(193\) | 6.31378 | 0.454476 | 0.227238 | − | 0.973839i | \(-0.427030\pi\) | ||||
0.227238 | + | 0.973839i | \(0.427030\pi\) | |||||||
\(194\) | 3.08078 | − | 4.84755i | 0.221187 | − | 0.348034i | ||||
\(195\) | 0.145972 | + | 0.733852i | 0.0104533 | + | 0.0525522i | ||||
\(196\) | 1.59633 | − | 4.41591i | 0.114024 | − | 0.315422i | ||||
\(197\) | 19.2658 | − | 12.8730i | 1.37263 | − | 0.917163i | 0.372690 | − | 0.927956i | \(-0.378435\pi\) |
0.999942 | + | 0.0107926i | \(0.00343545\pi\) | |||||||
\(198\) | 27.3026 | + | 10.5831i | 1.94031 | + | 0.752105i | ||||
\(199\) | −13.5609 | − | 5.61712i | −0.961309 | − | 0.398187i | −0.153839 | − | 0.988096i | \(-0.549164\pi\) |
−0.807470 | + | 0.589909i | \(0.799164\pi\) | |||||||
\(200\) | −0.964535 | − | 0.552663i | −0.0682029 | − | 0.0390792i | ||||
\(201\) | 14.1357 | − | 5.85522i | 0.997059 | − | 0.412995i | ||||
\(202\) | 0.178227 | + | 7.77798i | 0.0125400 | + | 0.547257i | ||||
\(203\) | 4.35431 | + | 0.866127i | 0.305613 | + | 0.0607902i | ||||
\(204\) | 3.15891 | − | 20.8266i | 0.221168 | − | 1.45816i | ||||
\(205\) | −1.62090 | − | 1.08305i | −0.113208 | − | 0.0756434i | ||||
\(206\) | −15.5161 | + | 10.8898i | −1.08106 | + | 0.758728i | ||||
\(207\) | 15.9061 | + | 15.9061i | 1.10555 | + | 1.10555i | ||||
\(208\) | −0.435007 | + | 0.128860i | −0.0301623 | + | 0.00893485i | ||||
\(209\) | −7.91466 | + | 7.91466i | −0.547469 | + | 0.547469i | ||||
\(210\) | −3.47253 | + | 19.8204i | −0.239627 | + | 1.36774i | ||||
\(211\) | 1.35601 | − | 2.02941i | 0.0933516 | − | 0.139711i | −0.781854 | − | 0.623461i | \(-0.785726\pi\) |
0.875206 | + | 0.483751i | \(0.160726\pi\) | |||||||
\(212\) | 0.276430 | + | 1.11907i | 0.0189853 | + | 0.0768581i | ||||
\(213\) | 6.09103 | − | 30.6217i | 0.417350 | − | 2.09816i | ||||
\(214\) | 6.77805 | − | 7.09597i | 0.463338 | − | 0.485070i | ||||
\(215\) | 3.89811 | + | 9.41088i | 0.265849 | + | 0.641817i | ||||
\(216\) | −26.8239 | + | 13.3377i | −1.82514 | + | 0.907514i | ||||
\(217\) | 3.43879 | − | 8.30198i | 0.233440 | − | 0.563575i | ||||
\(218\) | −25.7772 | + | 11.3759i | −1.74585 | + | 0.770474i | ||||
\(219\) | −23.3434 | − | 34.9358i | −1.57740 | − | 2.36074i | ||||
\(220\) | 10.1865 | + | 9.29334i | 0.686777 | + | 0.626557i | ||||
\(221\) | 0.381221 | − | 0.0758296i | 0.0256437 | − | 0.00510085i | ||||
\(222\) | 41.8845 | − | 9.33364i | 2.81110 | − | 0.626433i | ||||
\(223\) | − | 7.01617i | − | 0.469838i | −0.972015 | − | 0.234919i | \(-0.924518\pi\) | ||
0.972015 | − | 0.234919i | \(-0.0754824\pi\) | |||||||
\(224\) | −12.1605 | − | 0.996928i | −0.812505 | − | 0.0666101i | ||||
\(225\) | − | 2.53349i | − | 0.168899i | ||||||
\(226\) | 2.79768 | + | 12.5545i | 0.186099 | + | 0.835115i | ||||
\(227\) | −16.9611 | + | 3.37378i | −1.12575 | + | 0.223925i | −0.722638 | − | 0.691226i | \(-0.757071\pi\) |
−0.403110 | + | 0.915151i | \(0.632071\pi\) | |||||||
\(228\) | −0.981119 | − | 21.3972i | −0.0649762 | − | 1.41707i | ||||
\(229\) | 1.93254 | + | 2.89225i | 0.127706 | + | 0.191126i | 0.889813 | − | 0.456326i | \(-0.150835\pi\) |
−0.762107 | + | 0.647451i | \(0.775835\pi\) | |||||||
\(230\) | 4.27676 | + | 9.69092i | 0.282001 | + | 0.639000i | ||||
\(231\) | −8.14863 | + | 19.6725i | −0.536141 | + | 1.29436i | ||||
\(232\) | 0.399826 | + | 5.80811i | 0.0262498 | + | 0.381321i | ||||
\(233\) | 10.0866 | + | 24.3511i | 0.660794 | + | 1.59530i | 0.796563 | + | 0.604556i | \(0.206650\pi\) |
−0.135769 | + | 0.990741i | \(0.543350\pi\) | |||||||
\(234\) | −0.747691 | − | 0.714193i | −0.0488781 | − | 0.0466882i | ||||
\(235\) | 4.92448 | − | 24.7570i | 0.321238 | − | 1.61497i | ||||
\(236\) | −1.33795 | − | 0.807890i | −0.0870932 | − | 0.0525891i | ||||
\(237\) | −8.46462 | + | 12.6682i | −0.549836 | + | 0.822888i | ||||
\(238\) | 10.2963 | + | 1.80391i | 0.667411 | + | 0.116930i | ||||
\(239\) | −11.2250 | + | 11.2250i | −0.726085 | + | 0.726085i | −0.969838 | − | 0.243752i | \(-0.921622\pi\) |
0.243752 | + | 0.969838i | \(0.421622\pi\) | |||||||
\(240\) | −26.2765 | + | 2.41477i | −1.69614 | + | 0.155873i | ||||
\(241\) | −15.1085 | − | 15.1085i | −0.973222 | − | 0.973222i | 0.0264284 | − | 0.999651i | \(-0.491587\pi\) |
−0.999651 | + | 0.0264284i | \(0.991587\pi\) | |||||||
\(242\) | −0.554387 | − | 0.789907i | −0.0356374 | − | 0.0507772i | ||||
\(243\) | −7.34826 | − | 4.90995i | −0.471391 | − | 0.314973i | ||||
\(244\) | 4.36439 | − | 3.21480i | 0.279401 | − | 0.205807i | ||||
\(245\) | 4.94245 | + | 0.983113i | 0.315761 | + | 0.0628088i | ||||
\(246\) | 3.94665 | − | 0.0904345i | 0.251629 | − | 0.00576590i | ||||
\(247\) | 0.365152 | − | 0.151251i | 0.0232341 | − | 0.00962387i | ||||
\(248\) | 11.6879 | + | 1.49974i | 0.742181 | + | 0.0952338i | ||||
\(249\) | 42.1916 | + | 17.4763i | 2.67378 | + | 1.10752i | ||||
\(250\) | 5.91651 | − | 15.2637i | 0.374193 | − | 0.965360i | ||||
\(251\) | −0.246229 | + | 0.164525i | −0.0155419 | + | 0.0103847i | −0.563317 | − | 0.826241i | \(-0.690475\pi\) |
0.547775 | + | 0.836626i | \(0.315475\pi\) | |||||||
\(252\) | −11.8069 | − | 25.1760i | −0.743763 | − | 1.58594i | ||||
\(253\) | 2.18679 | + | 10.9938i | 0.137483 | + | 0.691172i | ||||
\(254\) | −6.11213 | − | 3.88446i | −0.383509 | − | 0.243733i | ||||
\(255\) | 22.6066 | 1.41568 | ||||||||
\(256\) | −2.91612 | − | 15.7320i | −0.182258 | − | 0.983251i | ||||
\(257\) | 0.958734 | 0.0598042 | 0.0299021 | − | 0.999553i | \(-0.490480\pi\) | ||||
0.0299021 | + | 0.999553i | \(0.490480\pi\) | |||||||
\(258\) | −17.4092 | − | 11.0641i | −1.08385 | − | 0.688824i | ||||
\(259\) | 4.15434 | + | 20.8853i | 0.258138 | + | 1.29775i | ||||
\(260\) | −0.206737 | − | 0.440829i | −0.0128213 | − | 0.0273391i | ||||
\(261\) | −11.0321 | + | 7.37142i | −0.682870 | + | 0.456279i | ||||
\(262\) | 6.27820 | − | 16.1968i | 0.387868 | − | 1.00064i | ||||
\(263\) | 4.44089 | + | 1.83948i | 0.273837 | + | 0.113427i | 0.515376 | − | 0.856964i | \(-0.327652\pi\) |
−0.241539 | + | 0.970391i | \(0.577652\pi\) | |||||||
\(264\) | −27.6958 | − | 3.55382i | −1.70456 | − | 0.218723i | ||||
\(265\) | −1.14291 | + | 0.473409i | −0.0702084 | + | 0.0290813i | ||||
\(266\) | 10.6264 | − | 0.243497i | 0.651549 | − | 0.0149298i | ||||
\(267\) | −39.2968 | − | 7.81663i | −2.40493 | − | 0.478370i | ||||
\(268\) | −8.01648 | + | 5.90493i | −0.489685 | + | 0.360701i | ||||
\(269\) | −3.61121 | − | 2.41293i | −0.220179 | − | 0.147119i | 0.440589 | − | 0.897709i | \(-0.354770\pi\) |
−0.660769 | + | 0.750590i | \(0.729770\pi\) | |||||||
\(270\) | −18.4690 | − | 26.3152i | −1.12399 | − | 1.60149i | ||||
\(271\) | −10.6599 | − | 10.6599i | −0.647540 | − | 0.647540i | 0.304858 | − | 0.952398i | \(-0.401391\pi\) |
−0.952398 | + | 0.304858i | \(0.901391\pi\) | |||||||
\(272\) | 1.25442 | + | 13.6501i | 0.0760606 | + | 0.827660i | ||||
\(273\) | 0.531669 | − | 0.531669i | 0.0321781 | − | 0.0321781i | ||||
\(274\) | −1.55566 | − | 0.272551i | −0.0939810 | − | 0.0164654i | ||||
\(275\) | 0.701377 | − | 1.04968i | 0.0422946 | − | 0.0632984i | ||||
\(276\) | −18.3626 | − | 11.0878i | −1.10530 | − | 0.667409i | ||||
\(277\) | 0.0750905 | − | 0.377506i | 0.00451175 | − | 0.0226821i | −0.978464 | − | 0.206418i | \(-0.933819\pi\) |
0.982976 | + | 0.183736i | \(0.0588192\pi\) | |||||||
\(278\) | 3.12880 | + | 2.98862i | 0.187653 | + | 0.179246i | ||||
\(279\) | 10.2771 | + | 24.8112i | 0.615276 | + | 1.48541i | ||||
\(280\) | −0.899273 | − | 13.0634i | −0.0537418 | − | 0.780686i | ||||
\(281\) | −1.58445 | + | 3.82519i | −0.0945201 | + | 0.228192i | −0.964067 | − | 0.265658i | \(-0.914411\pi\) |
0.869547 | + | 0.493850i | \(0.164411\pi\) | |||||||
\(282\) | 20.6380 | + | 46.7646i | 1.22897 | + | 2.78479i | ||||
\(283\) | 5.06218 | + | 7.57609i | 0.300915 | + | 0.450352i | 0.950856 | − | 0.309633i | \(-0.100206\pi\) |
−0.649941 | + | 0.759985i | \(0.725206\pi\) | |||||||
\(284\) | 0.930609 | + | 20.2957i | 0.0552215 | + | 1.20433i | ||||
\(285\) | 22.5458 | − | 4.48464i | 1.33550 | − | 0.265647i | ||||
\(286\) | −0.112067 | − | 0.502900i | −0.00662668 | − | 0.0297371i | ||||
\(287\) | 1.95898i | 0.115635i | ||||||||
\(288\) | 27.8049 | − | 23.5914i | 1.63842 | − | 1.39013i | ||||
\(289\) | 5.25630i | 0.309194i | ||||||||
\(290\) | −6.09839 | + | 1.35898i | −0.358110 | + | 0.0798020i | ||||
\(291\) | −12.2427 | + | 2.43522i | −0.717678 | + | 0.142755i | ||||
\(292\) | 20.1989 | + | 18.4278i | 1.18205 | + | 1.07840i | ||||
\(293\) | 9.97915 | + | 14.9349i | 0.582988 | + | 0.872504i | 0.999326 | − | 0.0367064i | \(-0.0116866\pi\) |
−0.416338 | + | 0.909210i | \(0.636687\pi\) | |||||||
\(294\) | −9.33600 | + | 4.12013i | −0.544486 | + | 0.240291i | ||||
\(295\) | 0.641891 | − | 1.54966i | 0.0373723 | − | 0.0902248i | ||||
\(296\) | −25.0038 | + | 12.4327i | −1.45332 | + | 0.722635i | ||||
\(297\) | −13.0191 | − | 31.4309i | −0.755445 | − | 1.82381i | ||||
\(298\) | −3.25096 | + | 3.40344i | −0.188323 | + | 0.197156i | ||||
\(299\) | 0.0772181 | − | 0.388202i | 0.00446564 | − | 0.0224503i | ||||
\(300\) | 0.579357 | + | 2.34540i | 0.0334492 | + | 0.135412i | ||||
\(301\) | 5.68690 | − | 8.51105i | 0.327787 | − | 0.490568i | ||||
\(302\) | 0.880550 | − | 5.02598i | 0.0506699 | − | 0.289213i | ||||
\(303\) | 11.9557 | − | 11.9557i | 0.686840 | − | 0.686840i | ||||
\(304\) | 3.95891 | + | 13.3645i | 0.227059 | + | 0.766508i | ||||
\(305\) | 4.11348 | + | 4.11348i | 0.235537 | + | 0.235537i | ||||
\(306\) | −25.5708 | + | 17.9466i | −1.46179 | + | 1.02594i | ||||
\(307\) | 19.6650 | + | 13.1398i | 1.12234 | + | 0.749925i | 0.971124 | − | 0.238575i | \(-0.0766803\pi\) |
0.151219 | + | 0.988500i | \(0.451680\pi\) | |||||||
\(308\) | 2.07792 | − | 13.6997i | 0.118400 | − | 0.780611i | ||||
\(309\) | 40.4050 | + | 8.03706i | 2.29856 | + | 0.457213i | ||||
\(310\) | 0.289702 | + | 12.6429i | 0.0164540 | + | 0.718067i | ||||
\(311\) | −5.33022 | + | 2.20785i | −0.302249 | + | 0.125196i | −0.528654 | − | 0.848838i | \(-0.677303\pi\) |
0.226404 | + | 0.974033i | \(0.427303\pi\) | |||||||
\(312\) | 0.855504 | + | 0.490190i | 0.0484334 | + | 0.0277515i | ||||
\(313\) | 6.66540 | + | 2.76090i | 0.376751 | + | 0.156055i | 0.563020 | − | 0.826444i | \(-0.309640\pi\) |
−0.186269 | + | 0.982499i | \(0.559640\pi\) | |||||||
\(314\) | −19.9558 | − | 7.73526i | −1.12617 | − | 0.436526i | ||||
\(315\) | 24.8130 | − | 16.5795i | 1.39806 | − | 0.934151i | ||||
\(316\) | 3.37059 | − | 9.32402i | 0.189610 | − | 0.524517i | ||||
\(317\) | −6.63635 | − | 33.3632i | −0.372734 | − | 1.87386i | −0.476366 | − | 0.879247i | \(-0.658046\pi\) |
0.103632 | − | 0.994616i | \(-0.466954\pi\) | |||||||
\(318\) | 1.34369 | − | 2.11427i | 0.0753505 | − | 0.118563i | ||||
\(319\) | −6.61159 | −0.370178 | ||||||||
\(320\) | 16.2233 | − | 5.62604i | 0.906907 | − | 0.314505i | ||||
\(321\) | −21.3261 | −1.19031 | ||||||||
\(322\) | 5.70949 | − | 8.98377i | 0.318177 | − | 0.500646i | ||||
\(323\) | −2.32968 | − | 11.7121i | −0.129627 | − | 0.651678i | ||||
\(324\) | 24.8534 | + | 8.98439i | 1.38075 | + | 0.499133i | ||||
\(325\) | −0.0370655 | + | 0.0247664i | −0.00205603 | + | 0.00137379i | ||||
\(326\) | 18.9011 | + | 7.32644i | 1.04683 | + | 0.405774i | ||||
\(327\) | 56.5721 | + | 23.4330i | 3.12845 | + | 1.29585i | ||||
\(328\) | −2.47917 | + | 0.673017i | −0.136889 | + | 0.0371611i | ||||
\(329\) | −23.4348 | + | 9.70702i | −1.29200 | + | 0.535165i | ||||
\(330\) | −0.686484 | − | 29.9588i | −0.0377897 | − | 1.64918i | ||||
\(331\) | 14.2233 | + | 2.82918i | 0.781781 | + | 0.155506i | 0.569817 | − | 0.821772i | \(-0.307014\pi\) |
0.211964 | + | 0.977277i | \(0.432014\pi\) | |||||||
\(332\) | −29.3816 | − | 4.45650i | −1.61253 | − | 0.244582i | ||||
\(333\) | −52.9150 | − | 35.3567i | −2.89972 | − | 1.93753i | ||||
\(334\) | 7.63087 | − | 5.35564i | 0.417543 | − | 0.293048i | ||||
\(335\) | −7.55562 | − | 7.55562i | −0.412808 | − | 0.412808i | ||||
\(336\) | 16.6876 | + | 20.6070i | 0.910382 | + | 1.12420i | ||||
\(337\) | −22.7689 | + | 22.7689i | −1.24030 | + | 1.24030i | −0.280423 | + | 0.959877i | \(0.590475\pi\) |
−0.959877 | + | 0.280423i | \(0.909525\pi\) | |||||||
\(338\) | 3.16954 | − | 18.0910i | 0.172400 | − | 0.984022i | ||||
\(339\) | 15.5301 | − | 23.2424i | 0.843479 | − | 1.26236i | ||||
\(340\) | −14.2817 | + | 3.52783i | −0.774532 | + | 0.191323i | ||||
\(341\) | −2.61073 | + | 13.1250i | −0.141379 | + | 0.710760i | ||||
\(342\) | −21.9418 | + | 22.9709i | −1.18648 | + | 1.24213i | ||||
\(343\) | −7.71575 | − | 18.6275i | −0.416611 | − | 1.00579i | ||||
\(344\) | 12.7248 | + | 4.27298i | 0.686075 | + | 0.230384i | ||||
\(345\) | 8.80959 | − | 21.2682i | 0.474293 | − | 1.14504i | ||||
\(346\) | 25.4501 | − | 11.2316i | 1.36821 | − | 0.603812i | ||||
\(347\) | 5.44427 | + | 8.14793i | 0.292264 | + | 0.437404i | 0.948323 | − | 0.317305i | \(-0.102778\pi\) |
−0.656060 | + | 0.754709i | \(0.727778\pi\) | |||||||
\(348\) | 8.52740 | − | 9.34699i | 0.457117 | − | 0.501051i | ||||
\(349\) | 33.0492 | − | 6.57390i | 1.76909 | − | 0.351893i | 0.800263 | − | 0.599649i | \(-0.204693\pi\) |
0.968822 | + | 0.247756i | \(0.0796931\pi\) | |||||||
\(350\) | −1.17015 | + | 0.260760i | −0.0625474 | + | 0.0139382i | ||||
\(351\) | 1.20130i | 0.0641208i | ||||||||
\(352\) | 18.0513 | − | 2.07689i | 0.962139 | − | 0.110699i | ||||
\(353\) | 17.4677i | 0.929711i | 0.885387 | + | 0.464856i | \(0.153894\pi\) | ||||
−0.885387 | + | 0.464856i | \(0.846106\pi\) | |||||||
\(354\) | 0.738802 | + | 3.31536i | 0.0392669 | + | 0.176209i | ||||
\(355\) | −21.3851 | + | 4.25376i | −1.13500 | + | 0.225766i | ||||
\(356\) | 26.0454 | − | 1.19425i | 1.38041 | − | 0.0632952i | ||||
\(357\) | −12.6211 | − | 18.8888i | −0.667979 | − | 0.999701i | ||||
\(358\) | 1.09427 | + | 2.47955i | 0.0578337 | + | 0.131048i | ||||
\(359\) | 6.92204 | − | 16.7113i | 0.365331 | − | 0.881987i | −0.629171 | − | 0.777267i | \(-0.716605\pi\) |
0.994502 | − | 0.104720i | \(-0.0333947\pi\) | |||||||
\(360\) | 29.5066 | + | 25.7058i | 1.55514 | + | 1.35482i | ||||
\(361\) | 2.62417 | + | 6.33532i | 0.138114 | + | 0.333438i | ||||
\(362\) | −20.0195 | − | 19.1226i | −1.05220 | − | 1.00506i | ||||
\(363\) | −0.409158 | + | 2.05698i | −0.0214752 | + | 0.107963i | ||||
\(364\) | −0.252911 | + | 0.418848i | −0.0132562 | + | 0.0219536i | ||||
\(365\) | −16.3022 | + | 24.3979i | −0.853295 | + | 1.27705i | ||||
\(366\) | −11.6036 | − | 2.03295i | −0.606530 | − | 0.106264i | ||||
\(367\) | −22.7264 | + | 22.7264i | −1.18631 | + | 1.18631i | −0.208226 | + | 0.978081i | \(0.566769\pi\) |
−0.978081 | + | 0.208226i | \(0.933231\pi\) | |||||||
\(368\) | 13.3308 | + | 4.13916i | 0.694916 | + | 0.215769i | ||||
\(369\) | −4.13983 | − | 4.13983i | −0.215511 | − | 0.215511i | ||||
\(370\) | −17.2158 | − | 24.5296i | −0.895009 | − | 1.27523i | ||||
\(371\) | 1.03363 | + | 0.690649i | 0.0536633 | + | 0.0358567i | ||||
\(372\) | −15.1880 | − | 20.6191i | −0.787460 | − | 1.06905i | ||||
\(373\) | −4.36804 | − | 0.868856i | −0.226168 | − | 0.0449877i | 0.0807051 | − | 0.996738i | \(-0.474283\pi\) |
−0.306873 | + | 0.951750i | \(0.599283\pi\) | |||||||
\(374\) | −15.5630 | + | 0.356615i | −0.804743 | + | 0.0184401i | ||||
\(375\) | −32.8686 | + | 13.6146i | −1.69733 | + | 0.703057i | ||||
\(376\) | −20.3357 | − | 26.3227i | −1.04873 | − | 1.35749i | ||||
\(377\) | 0.215691 | + | 0.0893422i | 0.0111087 | + | 0.00460136i | ||||
\(378\) | −11.6763 | + | 30.1231i | −0.600566 | + | 1.54937i | ||||
\(379\) | −19.0406 | + | 12.7225i | −0.978052 | + | 0.653513i | −0.938346 | − | 0.345698i | \(-0.887642\pi\) |
−0.0397061 | + | 0.999211i | \(0.512642\pi\) | |||||||
\(380\) | −13.5434 | + | 6.35148i | −0.694761 | + | 0.325824i | ||||
\(381\) | 3.07049 | + | 15.4364i | 0.157306 | + | 0.790830i | ||||
\(382\) | 15.1110 | + | 9.60355i | 0.773146 | + | 0.491360i | ||||
\(383\) | −9.58576 | −0.489809 | −0.244905 | − | 0.969547i | \(-0.578757\pi\) | ||||
−0.244905 | + | 0.969547i | \(0.578757\pi\) | |||||||
\(384\) | −20.3458 | + | 28.1984i | −1.03827 | + | 1.43899i | ||||
\(385\) | 14.8705 | 0.757873 | ||||||||
\(386\) | 7.53592 | + | 4.78933i | 0.383568 | + | 0.243770i | ||||
\(387\) | 5.96814 | + | 30.0038i | 0.303377 | + | 1.52518i | ||||
\(388\) | 7.35424 | − | 3.44894i | 0.373355 | − | 0.175093i | ||||
\(389\) | −10.2676 | + | 6.86062i | −0.520590 | + | 0.347847i | −0.787940 | − | 0.615752i | \(-0.788852\pi\) |
0.267349 | + | 0.963600i | \(0.413852\pi\) | |||||||
\(390\) | −0.382437 | + | 0.986628i | −0.0193655 | + | 0.0499599i | ||||
\(391\) | −11.0484 | − | 4.57641i | −0.558743 | − | 0.231439i | ||||
\(392\) | 5.25502 | − | 4.05978i | 0.265419 | − | 0.205050i | ||||
\(393\) | −34.8779 | + | 14.4469i | −1.75936 | + | 0.728751i | ||||
\(394\) | 32.7598 | − | 0.750668i | 1.65042 | − | 0.0378181i | ||||
\(395\) | 10.4358 | + | 2.07580i | 0.525081 | + | 0.104445i | ||||
\(396\) | 24.5597 | + | 33.3420i | 1.23417 | + | 1.67550i | ||||
\(397\) | 6.79289 | + | 4.53886i | 0.340925 | + | 0.227799i | 0.714232 | − | 0.699909i | \(-0.246776\pi\) |
−0.373307 | + | 0.927708i | \(0.621776\pi\) | |||||||
\(398\) | −11.9250 | − | 16.9911i | −0.597746 | − | 0.851685i | ||||
\(399\) | −16.3342 | − | 16.3342i | −0.817733 | − | 0.817733i | ||||
\(400\) | −0.732013 | − | 1.39129i | −0.0366006 | − | 0.0695645i | ||||
\(401\) | 6.63465 | − | 6.63465i | 0.331319 | − | 0.331319i | −0.521769 | − | 0.853087i | \(-0.674728\pi\) |
0.853087 | + | 0.521769i | \(0.174728\pi\) | |||||||
\(402\) | 21.3134 | + | 3.73410i | 1.06302 | + | 0.186240i | ||||
\(403\) | 0.262529 | − | 0.392902i | 0.0130775 | − | 0.0195718i | ||||
\(404\) | −5.68727 | + | 9.41873i | −0.282952 | + | 0.468599i | ||||
\(405\) | −5.53311 | + | 27.8168i | −0.274943 | + | 1.38223i | ||||
\(406\) | 4.54016 | + | 4.33675i | 0.225324 | + | 0.215229i | ||||
\(407\) | −12.1357 | − | 29.2982i | −0.601546 | − | 1.45226i | ||||
\(408\) | 19.5684 | − | 22.4618i | 0.968782 | − | 1.11202i | ||||
\(409\) | −3.09518 | + | 7.47242i | −0.153047 | + | 0.369487i | −0.981743 | − | 0.190211i | \(-0.939083\pi\) |
0.828697 | + | 0.559698i | \(0.189083\pi\) | |||||||
\(410\) | −1.11310 | − | 2.52222i | −0.0549721 | − | 0.124564i | ||||
\(411\) | 1.90691 | + | 2.85389i | 0.0940610 | + | 0.140772i | ||||
\(412\) | −26.7799 | + | 1.22793i | −1.31935 | + | 0.0604958i | ||||
\(413\) | −1.65317 | + | 0.328836i | −0.0813471 | + | 0.0161809i | ||||
\(414\) | 6.91938 | + | 31.0506i | 0.340069 | + | 1.52605i | ||||
\(415\) | − | 31.8928i | − | 1.56556i | ||||||
\(416\) | −0.616957 | − | 0.176172i | −0.0302488 | − | 0.00863754i | ||||
\(417\) | − | 9.40326i | − | 0.460480i | ||||||
\(418\) | −15.4503 | + | 3.44299i | −0.755701 | + | 0.168402i | ||||
\(419\) | −2.86945 | + | 0.570769i | −0.140182 | + | 0.0278839i | −0.264682 | − | 0.964336i | \(-0.585267\pi\) |
0.124501 | + | 0.992220i | \(0.460267\pi\) | |||||||
\(420\) | −19.1795 | + | 21.0229i | −0.935864 | + | 1.02581i | ||||
\(421\) | −11.9038 | − | 17.8153i | −0.580157 | − | 0.868266i | 0.419055 | − | 0.907961i | \(-0.362361\pi\) |
−0.999212 | + | 0.0396948i | \(0.987361\pi\) | |||||||
\(422\) | 3.15790 | − | 1.39363i | 0.153724 | − | 0.0678411i | ||||
\(423\) | 29.0103 | − | 70.0371i | 1.41053 | − | 3.40532i | ||||
\(424\) | −0.518935 | + | 1.54537i | −0.0252017 | + | 0.0750499i | ||||
\(425\) | 0.515424 | + | 1.24434i | 0.0250018 | + | 0.0603596i | ||||
\(426\) | 30.4982 | − | 31.9286i | 1.47764 | − | 1.54695i | ||||
\(427\) | 1.14047 | − | 5.73351i | 0.0551910 | − | 0.277464i | ||||
\(428\) | 13.4727 | − | 3.32800i | 0.651228 | − | 0.160865i | ||||
\(429\) | −0.622093 | + | 0.931028i | −0.0300349 | + | 0.0449505i | ||||
\(430\) | −2.48598 | + | 14.1894i | −0.119885 | + | 0.684275i | ||||
\(431\) | 8.75609 | − | 8.75609i | 0.421766 | − | 0.421766i | −0.464045 | − | 0.885811i | \(-0.653603\pi\) |
0.885811 | + | 0.464045i | \(0.153603\pi\) | |||||||
\(432\) | −42.1334 | − | 4.42792i | −2.02714 | − | 0.213038i | ||||
\(433\) | −13.9449 | − | 13.9449i | −0.670149 | − | 0.670149i | 0.287601 | − | 0.957750i | \(-0.407142\pi\) |
−0.957750 | + | 0.287601i | \(0.907142\pi\) | |||||||
\(434\) | 10.4019 | − | 7.30046i | 0.499307 | − | 0.350433i | ||||
\(435\) | 11.2901 | + | 7.54378i | 0.541317 | + | 0.361696i | ||||
\(436\) | −39.3960 | − | 5.97545i | −1.88673 | − | 0.286172i | ||||
\(437\) | −11.9265 | − | 2.37233i | −0.570523 | − | 0.113484i | ||||
\(438\) | −1.36123 | − | 59.4054i | −0.0650421 | − | 2.83850i | ||||
\(439\) | −9.84033 | + | 4.07600i | −0.469653 | + | 0.194537i | −0.604942 | − | 0.796270i | \(-0.706804\pi\) |
0.135289 | + | 0.990806i | \(0.456804\pi\) | |||||||
\(440\) | 5.10883 | + | 18.8192i | 0.243554 | + | 0.897172i | ||||
\(441\) | 13.9821 | + | 5.79156i | 0.665813 | + | 0.275789i | ||||
\(442\) | 0.512533 | + | 0.198668i | 0.0243787 | + | 0.00944969i | ||||
\(443\) | 16.3602 | − | 10.9315i | 0.777294 | − | 0.519371i | −0.102496 | − | 0.994733i | \(-0.532683\pi\) |
0.879790 | + | 0.475362i | \(0.157683\pi\) | |||||||
\(444\) | 57.0720 | + | 20.6312i | 2.70852 | + | 0.979115i | ||||
\(445\) | 5.45885 | + | 27.4435i | 0.258774 | + | 1.30095i | ||||
\(446\) | 5.32213 | − | 8.37426i | 0.252010 | − | 0.396533i | ||||
\(447\) | 10.2287 | 0.483800 | ||||||||
\(448\) | −13.7581 | − | 10.4142i | −0.650008 | − | 0.492026i | ||||
\(449\) | 30.9457 | 1.46042 | 0.730209 | − | 0.683224i | \(-0.239423\pi\) | ||||
0.730209 | + | 0.683224i | \(0.239423\pi\) | |||||||
\(450\) | 1.92178 | − | 3.02388i | 0.0905936 | − | 0.142547i | ||||
\(451\) | −0.569150 | − | 2.86131i | −0.0268002 | − | 0.134734i | ||||
\(452\) | −6.18404 | + | 17.1068i | −0.290873 | + | 0.804638i | ||||
\(453\) | −9.22026 | + | 6.16078i | −0.433206 | + | 0.289459i | ||||
\(454\) | −22.8034 | − | 8.83905i | −1.07022 | − | 0.414837i | ||||
\(455\) | −0.485125 | − | 0.200945i | −0.0227430 | − | 0.00942046i | ||||
\(456\) | 15.0599 | − | 26.2832i | 0.705243 | − | 1.23083i | ||||
\(457\) | 36.3997 | − | 15.0773i | 1.70271 | − | 0.705285i | 0.702727 | − | 0.711459i | \(-0.251965\pi\) |
0.999981 | + | 0.00617459i | \(0.00196544\pi\) | |||||||
\(458\) | 0.112693 | + | 4.91803i | 0.00526580 | + | 0.229804i | ||||
\(459\) | 35.5982 | + | 7.08092i | 1.66158 | + | 0.330509i | ||||
\(460\) | −2.24646 | + | 14.8109i | −0.104742 | + | 0.690562i | ||||
\(461\) | 7.22960 | + | 4.83066i | 0.336716 | + | 0.224986i | 0.712420 | − | 0.701753i | \(-0.247599\pi\) |
−0.375704 | + | 0.926740i | \(0.622599\pi\) | |||||||
\(462\) | −24.6486 | + | 17.2993i | −1.14675 | + | 0.804837i | ||||
\(463\) | 25.2338 | + | 25.2338i | 1.17271 | + | 1.17271i | 0.981560 | + | 0.191154i | \(0.0612228\pi\) |
0.191154 | + | 0.981560i | \(0.438777\pi\) | |||||||
\(464\) | −3.92853 | + | 7.23565i | −0.182377 | + | 0.335906i | ||||
\(465\) | 19.4337 | − | 19.4337i | 0.901216 | − | 0.901216i | ||||
\(466\) | −6.43261 | + | 36.7159i | −0.297985 | + | 1.70083i | ||||
\(467\) | 20.5128 | − | 30.6996i | 0.949220 | − | 1.42061i | 0.0423942 | − | 0.999101i | \(-0.486501\pi\) |
0.906825 | − | 0.421507i | \(-0.138499\pi\) | |||||||
\(468\) | −0.350666 | − | 1.41960i | −0.0162096 | − | 0.0656209i | ||||
\(469\) | −2.09480 | + | 10.5313i | −0.0967289 | + | 0.486289i | ||||
\(470\) | 24.6572 | − | 25.8137i | 1.13735 | − | 1.19070i | ||||
\(471\) | 17.7998 | + | 42.9725i | 0.820171 | + | 1.98007i | ||||
\(472\) | −0.984107 | − | 1.97917i | −0.0452972 | − | 0.0910989i | ||||
\(473\) | −5.83360 | + | 14.0835i | −0.268229 | + | 0.647562i | ||||
\(474\) | −19.7126 | + | 8.69948i | −0.905428 | + | 0.399581i | ||||
\(475\) | 0.760886 | + | 1.13875i | 0.0349118 | + | 0.0522493i | ||||
\(476\) | 10.9210 | + | 9.96337i | 0.500562 | + | 0.456670i | ||||
\(477\) | −3.64383 | + | 0.724804i | −0.166840 | + | 0.0331865i | ||||
\(478\) | −21.9125 | + | 4.88304i | −1.00226 | + | 0.223345i | ||||
\(479\) | 22.3832i | 1.02271i | 0.859368 | + | 0.511357i | \(0.170857\pi\) | ||||
−0.859368 | + | 0.511357i | \(0.829143\pi\) | |||||||
\(480\) | −33.1945 | − | 17.0499i | −1.51511 | − | 0.778218i | ||||
\(481\) | 1.11979i | 0.0510581i | ||||||||
\(482\) | −6.57240 | − | 29.4935i | −0.299365 | − | 1.34339i | ||||
\(483\) | −22.6888 | + | 4.51309i | −1.03238 | + | 0.205353i | ||||
\(484\) | −0.0625126 | − | 1.36334i | −0.00284148 | − | 0.0619699i | ||||
\(485\) | 4.84310 | + | 7.24821i | 0.219914 | + | 0.329124i | ||||
\(486\) | −5.04618 | − | 11.4344i | −0.228899 | − | 0.518674i | ||||
\(487\) | −13.3025 | + | 32.1150i | −0.602792 | + | 1.45527i | 0.267902 | + | 0.963446i | \(0.413670\pi\) |
−0.870695 | + | 0.491824i | \(0.836330\pi\) | |||||||
\(488\) | 7.64778 | − | 0.526467i | 0.346199 | − | 0.0238321i | ||||
\(489\) | −16.8591 | − | 40.7014i | −0.762393 | − | 1.84058i | ||||
\(490\) | 5.15339 | + | 4.92251i | 0.232807 | + | 0.222376i | ||||
\(491\) | −5.09965 | + | 25.6377i | −0.230144 | + | 1.15701i | 0.676933 | + | 0.736045i | \(0.263309\pi\) |
−0.907076 | + | 0.420966i | \(0.861691\pi\) | |||||||
\(492\) | 4.77918 | + | 2.88580i | 0.215462 | + | 0.130102i | ||||
\(493\) | 3.91884 | − | 5.86496i | 0.176496 | − | 0.264144i | ||||
\(494\) | 0.550565 | + | 0.0964587i | 0.0247711 | + | 0.00433988i | ||||
\(495\) | −31.4252 | + | 31.4252i | −1.41246 | + | 1.41246i | ||||
\(496\) | 12.8126 | + | 10.6559i | 0.575304 | + | 0.478464i | ||||
\(497\) | 15.4933 | + | 15.4933i | 0.694969 | + | 0.694969i | ||||
\(498\) | 37.1018 | + | 52.8637i | 1.66257 | + | 2.36888i | ||||
\(499\) | −27.9332 | − | 18.6644i | −1.25046 | − | 0.835532i | −0.258994 | − | 0.965879i | \(-0.583391\pi\) |
−0.991468 | + | 0.130347i | \(0.958391\pi\) | |||||||
\(500\) | 18.6400 | − | 13.7302i | 0.833608 | − | 0.614035i | ||||
\(501\) | −19.8714 | − | 3.95266i | −0.887787 | − | 0.176592i | ||||
\(502\) | −0.418692 | + | 0.00959402i | −0.0186871 | + | 0.000428202i | ||||
\(503\) | 20.0549 | − | 8.30702i | 0.894205 | − | 0.370392i | 0.112216 | − | 0.993684i | \(-0.464205\pi\) |
0.781989 | + | 0.623292i | \(0.214205\pi\) | |||||||
\(504\) | 5.00501 | − | 39.0053i | 0.222941 | − | 1.73744i | ||||
\(505\) | −10.9091 | − | 4.51870i | −0.485449 | − | 0.201079i | ||||
\(506\) | −5.72925 | + | 14.7806i | −0.254696 | + | 0.657077i | ||||
\(507\) | −33.1883 | + | 22.1757i | −1.47395 | + | 0.984859i | ||||
\(508\) | −4.34866 | − | 9.27273i | −0.192941 | − | 0.411411i | ||||
\(509\) | −0.581805 | − | 2.92493i | −0.0257881 | − | 0.129645i | 0.965747 | − | 0.259486i | \(-0.0835533\pi\) |
−0.991535 | + | 0.129841i | \(0.958553\pi\) | |||||||
\(510\) | 26.9825 | + | 17.1483i | 1.19481 | + | 0.759340i | ||||
\(511\) | 29.4868 | 1.30442 | ||||||||
\(512\) | 8.45296 | − | 20.9892i | 0.373571 | − | 0.927601i | ||||
\(513\) | 36.9071 | 1.62949 | ||||||||
\(514\) | 1.14431 | + | 0.727249i | 0.0504734 | + | 0.0320776i | ||||
\(515\) | −5.61280 | − | 28.2174i | −0.247329 | − | 1.24341i | ||||
\(516\) | −12.3863 | − | 26.4116i | −0.545278 | − | 1.16271i | ||||
\(517\) | 31.4089 | − | 20.9868i | 1.38136 | − | 0.922996i | ||||
\(518\) | −10.8841 | + | 28.0792i | −0.478219 | + | 1.23373i | ||||
\(519\) | −55.8543 | − | 23.1356i | −2.45173 | − | 1.01554i | ||||
\(520\) | 0.0876372 | − | 0.682979i | 0.00384315 | − | 0.0299506i | ||||
\(521\) | −18.7789 | + | 7.77848i | −0.822719 | + | 0.340781i | −0.754016 | − | 0.656856i | \(-0.771886\pi\) |
−0.0687028 | + | 0.997637i | \(0.521886\pi\) | |||||||
\(522\) | −18.7592 | + | 0.429852i | −0.821066 | + | 0.0188141i | ||||
\(523\) | 13.4384 | + | 2.67306i | 0.587620 | + | 0.116885i | 0.479941 | − | 0.877301i | \(-0.340658\pi\) |
0.107679 | + | 0.994186i | \(0.465658\pi\) | |||||||
\(524\) | 19.7795 | − | 14.5696i | 0.864073 | − | 0.636475i | ||||
\(525\) | 2.16633 | + | 1.44750i | 0.0945464 | + | 0.0631739i | ||||
\(526\) | 3.90516 | + | 5.56419i | 0.170273 | + | 0.242610i | ||||
\(527\) | −10.0954 | − | 10.0954i | −0.439763 | − | 0.439763i | ||||
\(528\) | −30.3610 | − | 25.2504i | −1.32129 | − | 1.09888i | ||||
\(529\) | 7.65252 | − | 7.65252i | 0.332718 | − | 0.332718i | ||||
\(530\) | −1.72324 | − | 0.301911i | −0.0748529 | − | 0.0131142i | ||||
\(531\) | 2.79865 | − | 4.18848i | 0.121451 | − | 0.181764i | ||||
\(532\) | 12.8681 | + | 7.77008i | 0.557902 | + | 0.336876i | ||||
\(533\) | −0.0200973 | + | 0.101036i | −0.000870511 | + | 0.00437635i | ||||
\(534\) | −40.9740 | − | 39.1383i | −1.77312 | − | 1.69368i | ||||
\(535\) | 5.69946 | + | 13.7597i | 0.246409 | + | 0.594884i | ||||
\(536\) | −14.0474 | + | 0.967012i | −0.606755 | + | 0.0417686i | ||||
\(537\) | 2.25405 | − | 5.44176i | 0.0972694 | − | 0.234829i | ||||
\(538\) | −2.47988 | − | 5.61928i | −0.106915 | − | 0.242264i | ||||
\(539\) | 4.18976 | + | 6.27041i | 0.180466 | + | 0.270086i | ||||
\(540\) | −2.08256 | − | 45.4186i | −0.0896191 | − | 1.95450i | ||||
\(541\) | 7.53938 | − | 1.49968i | 0.324143 | − | 0.0644761i | −0.0303365 | − | 0.999540i | \(-0.509658\pi\) |
0.354480 | + | 0.935064i | \(0.384658\pi\) | |||||||
\(542\) | −4.63719 | − | 20.8093i | −0.199184 | − | 0.893836i | ||||
\(543\) | 60.1664i | 2.58199i | ||||||||
\(544\) | −8.85707 | + | 17.2439i | −0.379744 | + | 0.739324i | ||||
\(545\) | − | 42.7631i | − | 1.83177i | ||||||
\(546\) | 1.03788 | − | 0.231284i | 0.0444172 | − | 0.00989802i | ||||
\(547\) | 23.2900 | − | 4.63267i | 0.995809 | − | 0.198079i | 0.329823 | − | 0.944043i | \(-0.393011\pi\) |
0.665986 | + | 0.745964i | \(0.268011\pi\) | |||||||
\(548\) | −1.65004 | − | 1.50536i | −0.0704863 | − | 0.0643057i | ||||
\(549\) | 9.70626 | + | 14.5264i | 0.414253 | + | 0.619974i | ||||
\(550\) | 1.63338 | − | 0.720837i | 0.0696475 | − | 0.0307366i | ||||
\(551\) | 2.74482 | − | 6.62658i | 0.116933 | − | 0.282302i | ||||
\(552\) | −13.5063 | − | 27.1631i | −0.574867 | − | 1.15614i | ||||
\(553\) | −4.09178 | − | 9.87842i | −0.174000 | − | 0.420073i | ||||
\(554\) | 0.375983 | − | 0.393618i | 0.0159740 | − | 0.0167232i | ||||
\(555\) | −12.7059 | + | 63.8770i | −0.539336 | + | 2.71143i | ||||
\(556\) | 1.46740 | + | 5.94048i | 0.0622318 | + | 0.251932i | ||||
\(557\) | −7.86803 | + | 11.7753i | −0.333379 | + | 0.498937i | −0.959852 | − | 0.280506i | \(-0.909498\pi\) |
0.626473 | + | 0.779443i | \(0.284498\pi\) | |||||||
\(558\) | −6.55414 | + | 37.4096i | −0.277459 | + | 1.58367i | ||||
\(559\) | 0.380621 | − | 0.380621i | 0.0160986 | − | 0.0160986i | ||||
\(560\) | 8.83591 | − | 16.2742i | 0.373385 | − | 0.687708i | ||||
\(561\) | 23.9223 | + | 23.9223i | 1.01000 | + | 1.01000i | ||||
\(562\) | −4.79275 | + | 3.36373i | −0.202170 | + | 0.141891i | ||||
\(563\) | −5.80935 | − | 3.88168i | −0.244835 | − | 0.163593i | 0.427098 | − | 0.904205i | \(-0.359536\pi\) |
−0.671933 | + | 0.740612i | \(0.734536\pi\) | |||||||
\(564\) | −10.8406 | + | 71.4716i | −0.456470 | + | 3.00950i | ||||
\(565\) | −19.1466 | − | 3.80849i | −0.805502 | − | 0.160224i | ||||
\(566\) | 0.295193 | + | 12.8825i | 0.0124079 | + | 0.541491i | ||||
\(567\) | 26.3312 | − | 10.9067i | 1.10581 | − | 0.458040i | ||||
\(568\) | −14.2846 | + | 24.9301i | −0.599367 | + | 1.04604i | ||||
\(569\) | −17.1266 | − | 7.09406i | −0.717983 | − | 0.297398i | −0.00637952 | − | 0.999980i | \(-0.502031\pi\) |
−0.711603 | + | 0.702581i | \(0.752031\pi\) | |||||||
\(570\) | 30.3117 | + | 11.7494i | 1.26962 | + | 0.492130i | ||||
\(571\) | 1.16513 | − | 0.778514i | 0.0487591 | − | 0.0325798i | −0.530952 | − | 0.847402i | \(-0.678165\pi\) |
0.579711 | + | 0.814822i | \(0.303165\pi\) | |||||||
\(572\) | 0.247716 | − | 0.685253i | 0.0103575 | − | 0.0286519i | ||||
\(573\) | −7.59116 | − | 38.1634i | −0.317125 | − | 1.59430i | ||||
\(574\) | −1.48599 | + | 2.33818i | −0.0620240 | + | 0.0975936i | ||||
\(575\) | 1.37153 | 0.0571968 | ||||||||
\(576\) | 51.0822 | − | 7.06641i | 2.12843 | − | 0.294434i | ||||
\(577\) | 28.1108 | 1.17027 | 0.585135 | − | 0.810936i | \(-0.301042\pi\) | ||||
0.585135 | + | 0.810936i | \(0.301042\pi\) | |||||||
\(578\) | −3.98718 | + | 6.27375i | −0.165845 | + | 0.260953i | ||||
\(579\) | −3.78574 | − | 19.0322i | −0.157330 | − | 0.790952i | ||||
\(580\) | −8.30968 | − | 3.00391i | −0.345041 | − | 0.124731i | ||||
\(581\) | −26.6478 | + | 17.8055i | −1.10554 | + | 0.738695i | ||||
\(582\) | −16.4597 | − | 6.38010i | −0.682275 | − | 0.264464i | ||||
\(583\) | −1.71038 | − | 0.708464i | −0.0708369 | − | 0.0293416i | ||||
\(584\) | 10.1303 | + | 37.3167i | 0.419196 | + | 1.54418i | ||||
\(585\) | 1.44984 | − | 0.600543i | 0.0599435 | − | 0.0248294i | ||||
\(586\) | 0.581918 | + | 25.3954i | 0.0240388 | + | 1.04908i | ||||
\(587\) | 11.1359 | + | 2.21507i | 0.459629 | + | 0.0914258i | 0.419473 | − | 0.907768i | \(-0.362215\pi\) |
0.0401553 | + | 0.999193i | \(0.487215\pi\) | |||||||
\(588\) | −14.2685 | − | 2.16419i | −0.588421 | − | 0.0892496i | ||||
\(589\) | −12.0709 | − | 8.06554i | −0.497374 | − | 0.332335i | ||||
\(590\) | 1.94164 | − | 1.36272i | 0.0799360 | − | 0.0561021i | ||||
\(591\) | −50.3561 | − | 50.3561i | −2.07137 | − | 2.07137i | ||||
\(592\) | −39.2746 | − | 4.12748i | −1.61417 | − | 0.169638i | ||||
\(593\) | 5.38627 | − | 5.38627i | 0.221188 | − | 0.221188i | −0.587811 | − | 0.808998i | \(-0.700010\pi\) |
0.808998 | + | 0.587811i | \(0.200010\pi\) | |||||||
\(594\) | 8.30279 | − | 47.3905i | 0.340668 | − | 1.94446i | ||||
\(595\) | −8.81411 | + | 13.1913i | −0.361343 | + | 0.540789i | ||||
\(596\) | −6.46193 | + | 1.59621i | −0.264691 | + | 0.0653834i | ||||
\(597\) | −8.80108 | + | 44.2460i | −0.360204 | + | 1.81087i | ||||
\(598\) | 0.386636 | − | 0.404770i | 0.0158107 | − | 0.0165523i | ||||
\(599\) | −10.9367 | − | 26.4036i | −0.446863 | − | 1.07882i | −0.973491 | − | 0.228727i | \(-0.926544\pi\) |
0.526627 | − | 0.850096i | \(-0.323456\pi\) | |||||||
\(600\) | −1.08761 | + | 3.23886i | −0.0444014 | + | 0.132226i | ||||
\(601\) | −8.76796 | + | 21.1677i | −0.357653 | + | 0.863450i | 0.637977 | + | 0.770056i | \(0.279772\pi\) |
−0.995629 | + | 0.0933942i | \(0.970228\pi\) | |||||||
\(602\) | 13.2438 | − | 5.84469i | 0.539775 | − | 0.238212i | ||||
\(603\) | −17.8284 | − | 26.6821i | −0.726029 | − | 1.08658i | ||||
\(604\) | 4.86346 | − | 5.33090i | 0.197891 | − | 0.216911i | ||||
\(605\) | 1.43652 | − | 0.285741i | 0.0584028 | − | 0.0116170i | ||||
\(606\) | 23.3390 | − | 5.20092i | 0.948083 | − | 0.211273i | ||||
\(607\) | − | 27.1652i | − | 1.10260i | −0.834306 | − | 0.551301i | \(-0.814132\pi\) | ||
0.834306 | − | 0.551301i | \(-0.185868\pi\) | |||||||
\(608\) | −5.41245 | + | 18.9545i | −0.219504 | + | 0.768705i | ||||
\(609\) | − | 13.6449i | − | 0.552921i | ||||||
\(610\) | 1.78943 | + | 8.03000i | 0.0724517 | + | 0.325125i | ||||
\(611\) | −1.30825 | + | 0.260227i | −0.0529262 | + | 0.0105277i | ||||
\(612\) | −44.1339 | + | 2.02365i | −1.78401 | + | 0.0818014i | ||||
\(613\) | −4.77987 | − | 7.15358i | −0.193057 | − | 0.288930i | 0.722295 | − | 0.691585i | \(-0.243087\pi\) |
−0.915352 | + | 0.402655i | \(0.868087\pi\) | |||||||
\(614\) | 13.5043 | + | 30.6001i | 0.544990 | + | 1.23492i | ||||
\(615\) | −2.29285 | + | 5.53542i | −0.0924564 | + | 0.223210i | ||||
\(616\) | 12.8720 | − | 14.7753i | 0.518629 | − | 0.595312i | ||||
\(617\) | −3.84308 | − | 9.27803i | −0.154717 | − | 0.373519i | 0.827448 | − | 0.561543i | \(-0.189792\pi\) |
−0.982165 | + | 0.188023i | \(0.939792\pi\) | |||||||
\(618\) | 42.1296 | + | 40.2421i | 1.69470 | + | 1.61877i | ||||
\(619\) | −0.956021 | + | 4.80624i | −0.0384257 | + | 0.193179i | −0.995230 | − | 0.0975524i | \(-0.968899\pi\) |
0.956805 | + | 0.290732i | \(0.0938987\pi\) | |||||||
\(620\) | −9.24449 | + | 15.3099i | −0.371268 | + | 0.614858i | ||||
\(621\) | 20.5340 | − | 30.7313i | 0.824000 | − | 1.23320i | ||||
\(622\) | −8.03674 | − | 1.40803i | −0.322244 | − | 0.0564570i | ||||
\(623\) | 19.8826 | − | 19.8826i | 0.796578 | − | 0.796578i | ||||
\(624\) | 0.649266 | + | 1.23402i | 0.0259914 | + | 0.0494002i | ||||
\(625\) | 16.1789 | + | 16.1789i | 0.647155 | + | 0.647155i | ||||
\(626\) | 5.86131 | + | 8.35137i | 0.234265 | + | 0.333788i | ||||
\(627\) | 28.6035 | + | 19.1123i | 1.14231 | + | 0.763270i | ||||
\(628\) | −17.9509 | − | 24.3700i | −0.716320 | − | 0.972469i | ||||
\(629\) | 33.1828 | + | 6.60047i | 1.32308 | + | 0.263178i | ||||
\(630\) | 42.1924 | − | 0.966808i | 1.68099 | − | 0.0385186i | ||||
\(631\) | 4.21091 | − | 1.74421i | 0.167634 | − | 0.0694361i | −0.297289 | − | 0.954788i | \(-0.596082\pi\) |
0.464922 | + | 0.885352i | \(0.346082\pi\) | |||||||
\(632\) | 11.0958 | − | 8.57207i | 0.441366 | − | 0.340979i | ||||
\(633\) | −6.93051 | − | 2.87071i | −0.275463 | − | 0.114101i | ||||
\(634\) | 17.3868 | − | 44.8552i | 0.690517 | − | 1.78143i | ||||
\(635\) | 9.13903 | − | 6.10650i | 0.362671 | − | 0.242329i | ||||
\(636\) | 3.20757 | − | 1.50426i | 0.127188 | − | 0.0596480i | ||||
\(637\) | −0.0519513 | − | 0.261177i | −0.00205839 | − | 0.0103482i | ||||
\(638\) | −7.89137 | − | 5.01523i | −0.312422 | − | 0.198555i | ||||
\(639\) | −65.4825 | −2.59045 | ||||||||
\(640\) | 23.6312 | + | 5.59112i | 0.934104 | + | 0.221008i | ||||
\(641\) | −18.0849 | −0.714310 | −0.357155 | − | 0.934045i | \(-0.616253\pi\) | ||||
−0.357155 | + | 0.934045i | \(0.616253\pi\) | |||||||
\(642\) | −25.4542 | − | 16.1770i | −1.00460 | − | 0.638454i | ||||
\(643\) | −1.42112 | − | 7.14443i | −0.0560433 | − | 0.281749i | 0.942594 | − | 0.333942i | \(-0.108379\pi\) |
−0.998637 | + | 0.0521929i | \(0.983379\pi\) | |||||||
\(644\) | 13.6293 | − | 6.39178i | 0.537070 | − | 0.251871i | ||||
\(645\) | 26.0308 | − | 17.3932i | 1.02496 | − | 0.684857i | ||||
\(646\) | 6.10359 | − | 15.7463i | 0.240143 | − | 0.619531i | ||||
\(647\) | 3.05247 | + | 1.26437i | 0.120005 | + | 0.0497076i | 0.441878 | − | 0.897075i | \(-0.354312\pi\) |
−0.321873 | + | 0.946783i | \(0.604312\pi\) | |||||||
\(648\) | 22.8491 | + | 29.5761i | 0.897596 | + | 1.16186i | ||||
\(649\) | 2.31910 | − | 0.960601i | 0.0910325 | − | 0.0377069i | ||||
\(650\) | −0.0630267 | + | 0.00144421i | −0.00247211 | + | 5.66466e-5i | ||||
\(651\) | −27.0873 | − | 5.38800i | −1.06164 | − | 0.211172i | ||||
\(652\) | 17.0022 | + | 23.0820i | 0.665858 | + | 0.903962i | ||||
\(653\) | 10.1827 | + | 6.80383i | 0.398478 | + | 0.266254i | 0.738623 | − | 0.674118i | \(-0.235476\pi\) |
−0.340145 | + | 0.940373i | \(0.610476\pi\) | |||||||
\(654\) | 49.7475 | + | 70.8817i | 1.94528 | + | 2.77169i | ||||
\(655\) | 18.6424 | + | 18.6424i | 0.728420 | + | 0.728420i | ||||
\(656\) | −3.46957 | − | 1.07729i | −0.135464 | − | 0.0420610i | ||||
\(657\) | −62.3131 | + | 62.3131i | −2.43107 | + | 2.43107i | ||||
\(658\) | −35.3343 | − | 6.19055i | −1.37747 | − | 0.241333i | ||||
\(659\) | −14.7692 | + | 22.1037i | −0.575328 | + | 0.861039i | −0.998997 | − | 0.0447783i | \(-0.985742\pi\) |
0.423669 | + | 0.905817i | \(0.360742\pi\) | |||||||
\(660\) | 21.9059 | − | 36.2785i | 0.852687 | − | 1.41214i | ||||
\(661\) | 2.82505 | − | 14.2025i | 0.109882 | − | 0.552412i | −0.886149 | − | 0.463400i | \(-0.846629\pi\) |
0.996031 | − | 0.0890116i | \(-0.0283708\pi\) | |||||||
\(662\) | 14.8303 | + | 14.1659i | 0.576397 | + | 0.550573i | ||||
\(663\) | −0.457161 | − | 1.10368i | −0.0177546 | − | 0.0428635i | ||||
\(664\) | −31.6884 | − | 27.6066i | −1.22975 | − | 1.07134i | ||||
\(665\) | −6.17355 | + | 14.9043i | −0.239400 | + | 0.577962i | ||||
\(666\) | −36.3377 | − | 82.3393i | −1.40806 | − | 3.19058i | ||||
\(667\) | −3.99060 | − | 5.97235i | −0.154516 | − | 0.231250i | ||||
\(668\) | 13.1705 | − | 0.603901i | 0.509581 | − | 0.0233656i | ||||
\(669\) | −21.1495 | + | 4.20690i | −0.817687 | + | 0.162648i | ||||
\(670\) | −3.28681 | − | 14.7495i | −0.126980 | − | 0.569822i | ||||
\(671\) | 8.70576i | 0.336082i | ||||||||
\(672\) | 4.28628 | + | 37.2541i | 0.165347 | + | 1.43711i | ||||
\(673\) | − | 26.9629i | − | 1.03934i | −0.854366 | − | 0.519671i | \(-0.826054\pi\) | ||
0.854366 | − | 0.519671i | \(-0.173946\pi\) | |||||||
\(674\) | −44.4475 | + | 9.90479i | −1.71205 | + | 0.381518i | ||||
\(675\) | −4.08271 | + | 0.812101i | −0.157144 | + | 0.0312578i | ||||
\(676\) | 17.5060 | − | 19.1886i | 0.673309 | − | 0.738022i | ||||
\(677\) | −9.17925 | − | 13.7377i | −0.352787 | − | 0.527984i | 0.612054 | − | 0.790816i | \(-0.290343\pi\) |
−0.964842 | + | 0.262832i | \(0.915343\pi\) | |||||||
\(678\) | 36.1668 | − | 15.9610i | 1.38898 | − | 0.612978i | ||||
\(679\) | 3.35232 | − | 8.09321i | 0.128650 | − | 0.310589i | ||||
\(680\) | −19.7221 | − | 6.62268i | −0.756310 | − | 0.253968i | ||||
\(681\) | 20.3398 | + | 49.1045i | 0.779422 | + | 1.88169i | ||||
\(682\) | −13.0721 | + | 13.6852i | −0.500556 | + | 0.524034i | ||||
\(683\) | −3.67420 | + | 18.4714i | −0.140589 | + | 0.706790i | 0.844611 | + | 0.535381i | \(0.179832\pi\) |
−0.985200 | + | 0.171409i | \(0.945168\pi\) | |||||||
\(684\) | −43.6136 | + | 10.7734i | −1.66761 | + | 0.411929i | ||||
\(685\) | 1.33172 | − | 1.99306i | 0.0508823 | − | 0.0761508i | ||||
\(686\) | 4.92064 | − | 28.0859i | 0.187871 | − | 1.07233i | ||||
\(687\) | 7.55964 | − | 7.55964i | 0.288418 | − | 0.288418i | ||||
\(688\) | 11.9466 | + | 14.7525i | 0.455460 | + | 0.562434i | ||||
\(689\) | 0.0462248 | + | 0.0462248i | 0.00176102 | + | 0.00176102i | ||||
\(690\) | 26.6479 | − | 18.7025i | 1.01447 | − | 0.711993i | ||||
\(691\) | −22.5013 | − | 15.0349i | −0.855989 | − | 0.571953i | 0.0483204 | − | 0.998832i | \(-0.484613\pi\) |
−0.904309 | + | 0.426879i | \(0.859613\pi\) | |||||||
\(692\) | 38.8961 | + | 5.89962i | 1.47861 | + | 0.224270i | ||||
\(693\) | 43.8015 | + | 8.71266i | 1.66388 | + | 0.330967i | ||||
\(694\) | 0.317474 | + | 13.8548i | 0.0120511 | + | 0.525923i | ||||
\(695\) | −6.06703 | + | 2.51304i | −0.230135 | + | 0.0953252i | ||||
\(696\) | 17.2682 | − | 4.68777i | 0.654549 | − | 0.177690i | ||||
\(697\) | 2.87554 | + | 1.19109i | 0.108919 | + | 0.0451156i | ||||
\(698\) | 44.4331 | + | 17.2232i | 1.68182 | + | 0.651907i | ||||
\(699\) | 67.3560 | − | 45.0058i | 2.54764 | − | 1.70228i | ||||
\(700\) | −1.59446 | − | 0.576388i | −0.0602648 | − | 0.0217854i | ||||
\(701\) | −4.62224 | − | 23.2376i | −0.174579 | − | 0.877670i | −0.964423 | − | 0.264362i | \(-0.914838\pi\) |
0.789844 | − | 0.613308i | \(-0.210162\pi\) | |||||||
\(702\) | −0.911250 | + | 1.43383i | −0.0343929 | + | 0.0541166i | ||||
\(703\) | 34.4028 | 1.29753 | ||||||||
\(704\) | 23.1209 | + | 11.2139i | 0.871401 | + | 0.422641i | ||||
\(705\) | −77.5801 | −2.92184 | ||||||||
\(706\) | −13.2501 | + | 20.8488i | −0.498676 | + | 0.784656i | ||||
\(707\) | 2.31489 | + | 11.6378i | 0.0870605 | + | 0.437683i | ||||
\(708\) | −1.63306 | + | 4.51752i | −0.0613742 | + | 0.169779i | ||||
\(709\) | 16.3280 | − | 10.9100i | 0.613211 | − | 0.409734i | −0.209813 | − | 0.977742i | \(-0.567285\pi\) |
0.823024 | + | 0.568007i | \(0.192285\pi\) | |||||||
\(710\) | −28.7512 | − | 11.1445i | −1.07901 | − | 0.418247i | ||||
\(711\) | 29.5226 | + | 12.2286i | 1.10718 | + | 0.458610i | ||||
\(712\) | 31.9928 | + | 18.3314i | 1.19898 | + | 0.686998i | ||||
\(713\) | −13.4318 | + | 5.56364i | −0.503025 | + | 0.208360i | ||||
\(714\) | −0.735978 | − | 32.1188i | −0.0275433 | − | 1.20201i | ||||
\(715\) | 0.766959 | + | 0.152558i | 0.0286826 | + | 0.00570533i | ||||
\(716\) | −0.574787 | + | 3.78956i | −0.0214808 | + | 0.141623i | ||||
\(717\) | 40.5671 | + | 27.1061i | 1.51501 | + | 1.01229i | ||||
\(718\) | 20.9383 | − | 14.6953i | 0.781409 | − | 0.548423i | ||||
\(719\) | 3.45757 | + | 3.45757i | 0.128946 | + | 0.128946i | 0.768634 | − | 0.639689i | \(-0.220937\pi\) |
−0.639689 | + | 0.768634i | \(0.720937\pi\) | |||||||
\(720\) | 15.7189 | + | 53.0639i | 0.585809 | + | 1.97758i | ||||
\(721\) | −20.4433 | + | 20.4433i | −0.761347 | + | 0.761347i | ||||
\(722\) | −1.67354 | + | 9.55219i | −0.0622827 | + | 0.355496i | ||||
\(723\) | −36.4838 | + | 54.6019i | −1.35685 | + | 2.03067i | ||||
\(724\) | −9.38913 | − | 38.0099i | −0.348944 | − | 1.41263i | ||||
\(725\) | −0.157825 | + | 0.793438i | −0.00586146 | + | 0.0294676i | ||||
\(726\) | −2.04868 | + | 2.14477i | −0.0760336 | + | 0.0795999i | ||||
\(727\) | 14.0936 | + | 34.0251i | 0.522704 | + | 1.26192i | 0.936217 | + | 0.351421i | \(0.114302\pi\) |
−0.413513 | + | 0.910498i | \(0.635698\pi\) | |||||||
\(728\) | −0.619584 | + | 0.308077i | −0.0229633 | + | 0.0114181i | ||||
\(729\) | 4.77554 | − | 11.5292i | 0.176872 | − | 0.427007i | ||||
\(730\) | −37.9648 | + | 16.7545i | −1.40514 | + | 0.620112i | ||||
\(731\) | −9.03542 | − | 13.5225i | −0.334187 | − | 0.500146i | ||||
\(732\) | −12.3076 | − | 11.2284i | −0.454901 | − | 0.415013i | ||||
\(733\) | −9.93170 | + | 1.97554i | −0.366836 | + | 0.0729681i | −0.375066 | − | 0.926998i | \(-0.622380\pi\) |
0.00823071 | + | 0.999966i | \(0.497380\pi\) | |||||||
\(734\) | −44.3645 | + | 9.88630i | −1.63753 | + | 0.364910i | ||||
\(735\) | − | 15.4879i | − | 0.571281i | ||||||
\(736\) | 12.7714 | + | 15.0525i | 0.470761 | + | 0.554841i | ||||
\(737\) | − | 15.9907i | − | 0.589025i | ||||||
\(738\) | −1.80088 | − | 8.08143i | −0.0662915 | − | 0.297482i | ||||
\(739\) | 47.0664 | − | 9.36209i | 1.73137 | − | 0.344390i | 0.773982 | − | 0.633207i | \(-0.218262\pi\) |
0.957384 | + | 0.288817i | \(0.0932620\pi\) | |||||||
\(740\) | −1.94125 | − | 42.3368i | −0.0713619 | − | 1.55633i | ||||
\(741\) | −0.674875 | − | 1.01002i | −0.0247922 | − | 0.0371041i | ||||
\(742\) | 0.709811 | + | 1.60840i | 0.0260580 | + | 0.0590461i | ||||
\(743\) | −8.63374 | + | 20.8437i | −0.316741 | + | 0.764681i | 0.682682 | + | 0.730716i | \(0.260814\pi\) |
−0.999423 | + | 0.0339651i | \(0.989186\pi\) | |||||||
\(744\) | −2.48724 | − | 36.1311i | −0.0911865 | − | 1.32463i | ||||
\(745\) | −2.73364 | − | 6.59958i | −0.100153 | − | 0.241790i | ||||
\(746\) | −4.55447 | − | 4.35042i | −0.166751 | − | 0.159280i | ||||
\(747\) | 18.6860 | − | 93.9409i | 0.683685 | − | 3.43712i | ||||
\(748\) | −18.8460 | − | 11.3797i | −0.689077 | − | 0.416083i | ||||
\(749\) | 8.31486 | − | 12.4441i | 0.303818 | − | 0.454696i | ||||
\(750\) | −49.5583 | − | 8.68259i | −1.80961 | − | 0.317043i | ||||
\(751\) | 6.86892 | − | 6.86892i | 0.250650 | − | 0.250650i | −0.570587 | − | 0.821237i | \(-0.693284\pi\) |
0.821237 | + | 0.570587i | \(0.193284\pi\) | |||||||
\(752\) | −4.30486 | − | 46.8436i | −0.156982 | − | 1.70821i | ||||
\(753\) | 0.643583 | + | 0.643583i | 0.0234535 | + | 0.0234535i | ||||
\(754\) | 0.189671 | + | 0.270249i | 0.00690741 | + | 0.00984188i | ||||
\(755\) | 6.43910 | + | 4.30247i | 0.234343 | + | 0.156583i | ||||
\(756\) | −36.7864 | + | 27.0968i | −1.33791 | + | 0.985503i | ||||
\(757\) | −20.6195 | − | 4.10147i | −0.749428 | − | 0.149070i | −0.194423 | − | 0.980918i | \(-0.562284\pi\) |
−0.555005 | + | 0.831847i | \(0.687284\pi\) | |||||||
\(758\) | −32.3770 | + | 0.741895i | −1.17598 | + | 0.0269468i | ||||
\(759\) | 31.8283 | − | 13.1837i | 1.15529 | − | 0.478539i | ||||
\(760\) | −20.9828 | − | 2.69244i | −0.761128 | − | 0.0976649i | ||||
\(761\) | −2.27046 | − | 0.940453i | −0.0823039 | − | 0.0340914i | 0.341152 | − | 0.940008i | \(-0.389183\pi\) |
−0.423456 | + | 0.905917i | \(0.639183\pi\) | |||||||
\(762\) | −8.04447 | + | 20.7535i | −0.291420 | + | 0.751819i | ||||
\(763\) | −35.7303 | + | 23.8743i | −1.29353 | + | 0.864306i | ||||
\(764\) | 10.7512 | + | 22.9249i | 0.388964 | + | 0.829395i | ||||
\(765\) | −9.25000 | − | 46.5029i | −0.334435 | − | 1.68132i | ||||
\(766\) | −11.4412 | − | 7.27129i | −0.413389 | − | 0.262722i | ||||
\(767\) | −0.0886369 | −0.00320049 | ||||||||
\(768\) | −45.6740 | + | 18.2233i | −1.64812 | + | 0.657575i | ||||
\(769\) | −3.66124 | −0.132028 | −0.0660139 | − | 0.997819i | \(-0.521028\pi\) | ||||
−0.0660139 | + | 0.997819i | \(0.521028\pi\) | |||||||
\(770\) | 17.7490 | + | 11.2801i | 0.639629 | + | 0.406506i | ||||
\(771\) | −0.574857 | − | 2.89000i | −0.0207030 | − | 0.104081i | ||||
\(772\) | 5.36166 | + | 11.4328i | 0.192970 | + | 0.411474i | ||||
\(773\) | −35.7598 | + | 23.8939i | −1.28619 | + | 0.859404i | −0.995251 | − | 0.0973381i | \(-0.968967\pi\) |
−0.290938 | + | 0.956742i | \(0.593967\pi\) | |||||||
\(774\) | −15.6361 | + | 40.3387i | −0.562028 | + | 1.44994i | ||||
\(775\) | 1.51278 | + | 0.626613i | 0.0543406 | + | 0.0225086i | ||||
\(776\) | 11.3940 | + | 1.46203i | 0.409020 | + | 0.0524838i | ||||
\(777\) | 60.4654 | − | 25.0456i | 2.16919 | − | 0.898506i | ||||
\(778\) | −17.4592 | + | 0.400066i | −0.625944 | + | 0.0143431i | ||||
\(779\) | 3.10408 | + | 0.617440i | 0.111215 | + | 0.0221221i | ||||
\(780\) | −1.20487 | + | 0.887508i | −0.0431413 | + | 0.0317779i | ||||
\(781\) | −27.1310 | − | 18.1283i | −0.970822 | − | 0.648682i | ||||
\(782\) | −9.71558 | − | 13.8430i | −0.347428 | − | 0.495026i | ||||
\(783\) | 15.4153 | + | 15.4153i | 0.550899 | + | 0.550899i | ||||
\(784\) | 9.35177 | − | 0.859413i | 0.333992 | − | 0.0306933i | ||||
\(785\) | 22.9690 | − | 22.9690i | 0.819799 | − | 0.819799i | ||||
\(786\) | −52.5879 | − | 9.21337i | −1.87575 | − | 0.328630i | ||||
\(787\) | 17.0932 | − | 25.5818i | 0.609308 | − | 0.911894i | −0.390655 | − | 0.920537i | \(-0.627751\pi\) |
0.999963 | + | 0.00864361i | \(0.00275138\pi\) | |||||||
\(788\) | 39.6705 | + | 23.9541i | 1.41320 | + | 0.853328i | ||||
\(789\) | 2.88215 | − | 14.4895i | 0.102607 | − | 0.515842i | ||||
\(790\) | 10.8812 | + | 10.3937i | 0.387135 | + | 0.369790i | ||||
\(791\) | 7.50721 | + | 18.1240i | 0.266926 | + | 0.644415i | ||||
\(792\) | 4.02198 | + | 58.4257i | 0.142915 | + | 2.07607i | ||||
\(793\) | 0.117641 | − | 0.284010i | 0.00417754 | − | 0.0100855i | ||||
\(794\) | 4.66480 | + | 10.5702i | 0.165547 | + | 0.375122i | ||||
\(795\) | 2.11233 | + | 3.16132i | 0.0749166 | + | 0.112121i | ||||
\(796\) | −1.34466 | − | 29.3257i | −0.0476602 | − | 1.03942i | ||||
\(797\) | −3.59248 | + | 0.714589i | −0.127252 | + | 0.0253120i | −0.258306 | − | 0.966063i | \(-0.583164\pi\) |
0.131053 | + | 0.991375i | \(0.458164\pi\) | |||||||
\(798\) | −7.10562 | − | 31.8863i | −0.251536 | − | 1.12876i | ||||
\(799\) | 40.3013i | 1.42576i | ||||||||
\(800\) | 0.181659 | − | 2.21587i | 0.00642262 | − | 0.0783427i | ||||
\(801\) | 84.0337i | 2.96919i | ||||||||
\(802\) | 12.9516 | − | 2.88617i | 0.457337 | − | 0.101914i | ||||
\(803\) | −43.0688 | + | 8.56691i | −1.51986 | + | 0.302320i | ||||
\(804\) | 22.6065 | + | 20.6242i | 0.797269 | + | 0.727361i | ||||
\(805\) | 8.97550 | + | 13.4328i | 0.316345 | + | 0.473444i | ||||
\(806\) | 0.611381 | − | 0.269813i | 0.0215350 | − | 0.00950375i | ||||
\(807\) | −5.10825 | + | 12.3324i | −0.179819 | + | 0.434121i | ||||
\(808\) | −13.9327 | + | 6.92778i | −0.490152 | + | 0.243719i | ||||
\(809\) | −4.56231 | − | 11.0144i | −0.160402 | − | 0.387245i | 0.823161 | − | 0.567808i | \(-0.192208\pi\) |
−0.983564 | + | 0.180562i | \(0.942208\pi\) | |||||||
\(810\) | −27.7046 | + | 29.0041i | −0.973441 | + | 1.01910i | ||||
\(811\) | 0.413214 | − | 2.07737i | 0.0145099 | − | 0.0729462i | −0.972852 | − | 0.231428i | \(-0.925660\pi\) |
0.987362 | + | 0.158482i | \(0.0506601\pi\) | |||||||
\(812\) | 2.12933 | + | 8.62014i | 0.0747248 | + | 0.302508i | ||||
\(813\) | −25.7413 | + | 38.5246i | −0.902788 | + | 1.35112i | ||||
\(814\) | 7.73943 | − | 44.1750i | 0.271267 | − | 1.54833i | ||||
\(815\) | −21.7551 | + | 21.7551i | −0.762047 | + | 0.762047i | ||||
\(816\) | 40.3946 | − | 11.9659i | 1.41410 | − | 0.418891i | ||||
\(817\) | −11.6936 | − | 11.6936i | −0.409109 | − | 0.409109i | ||||
\(818\) | −9.36252 | + | 6.57098i | −0.327353 | + | 0.229749i | ||||
\(819\) | −1.31121 | − | 0.876123i | −0.0458174 | − | 0.0306142i | ||||
\(820\) | 0.584680 | − | 3.85478i | 0.0204179 | − | 0.134615i | ||||
\(821\) | −46.0479 | − | 9.15949i | −1.60708 | − | 0.319668i | −0.691678 | − | 0.722206i | \(-0.743128\pi\) |
−0.915403 | + | 0.402538i | \(0.868128\pi\) | |||||||
\(822\) | 0.111198 | + | 4.85280i | 0.00387849 | + | 0.169261i | ||||
\(823\) | 43.8242 | − | 18.1526i | 1.52761 | − | 0.632759i | 0.548515 | − | 0.836141i | \(-0.315193\pi\) |
0.979099 | + | 0.203382i | \(0.0651933\pi\) | |||||||
\(824\) | −32.8951 | − | 18.8484i | −1.14595 | − | 0.656613i | ||||
\(825\) | −3.58471 | − | 1.48483i | −0.124804 | − | 0.0516953i | ||||
\(826\) | −2.22260 | − | 0.861527i | −0.0773343 | − | 0.0299763i | ||||
\(827\) | −7.79161 | + | 5.20619i | −0.270941 | + | 0.181037i | −0.683617 | − | 0.729841i | \(-0.739594\pi\) |
0.412676 | + | 0.910878i | \(0.364594\pi\) | |||||||
\(828\) | −15.2947 | + | 42.3096i | −0.531528 | + | 1.47036i | ||||
\(829\) | 10.9119 | + | 54.8578i | 0.378986 | + | 1.90529i | 0.422747 | + | 0.906248i | \(0.361066\pi\) |
−0.0437617 | + | 0.999042i | \(0.513934\pi\) | |||||||
\(830\) | 24.1923 | − | 38.0662i | 0.839728 | − | 1.32130i | ||||
\(831\) | −1.18297 | −0.0410369 | ||||||||
\(832\) | −0.602743 | − | 0.678266i | −0.0208964 | − | 0.0235147i | ||||
\(833\) | −8.04568 | −0.278766 | ||||||||
\(834\) | 7.13286 | − | 11.2234i | 0.246991 | − | 0.388635i | ||||
\(835\) | 2.76040 | + | 13.8774i | 0.0955274 | + | 0.480249i | ||||
\(836\) | −21.0527 | − | 7.61045i | −0.728123 | − | 0.263213i | ||||
\(837\) | 36.6889 | − | 24.5147i | 1.26815 | − | 0.847354i | ||||
\(838\) | −3.85783 | − | 1.49537i | −0.133267 | − | 0.0516568i | ||||
\(839\) | 38.4928 | + | 15.9443i | 1.32892 | + | 0.550457i | 0.930347 | − | 0.366680i | \(-0.119506\pi\) |
0.398573 | + | 0.917137i | \(0.369506\pi\) | |||||||
\(840\) | −38.8390 | + | 10.5436i | −1.34007 | + | 0.363788i | ||||
\(841\) | −22.8783 | + | 9.47649i | −0.788906 | + | 0.326775i | ||||
\(842\) | −0.694152 | − | 30.2934i | −0.0239221 | − | 1.04398i | ||||
\(843\) | 12.4807 | + | 2.48256i | 0.429857 | + | 0.0855038i | ||||
\(844\) | 4.82631 | + | 0.732037i | 0.166128 | + | 0.0251978i | ||||
\(845\) | 23.1776 | + | 15.4867i | 0.797332 | + | 0.532760i | ||||
\(846\) | 87.7524 | − | 61.5880i | 3.01699 | − | 2.11744i | ||||
\(847\) | −1.04074 | − | 1.04074i | −0.0357604 | − | 0.0357604i | ||||
\(848\) | −1.79163 | + | 1.45086i | −0.0615247 | + | 0.0498229i | ||||
\(849\) | 19.8020 | − | 19.8020i | 0.679604 | − | 0.679604i | ||||
\(850\) | −0.328706 | + | 1.87618i | −0.0112745 | + | 0.0643525i | ||||
\(851\) | 19.1407 | − | 28.6461i | 0.656135 | − | 0.981976i | ||||
\(852\) | 60.6211 | − | 14.9745i | 2.07684 | − | 0.513018i | ||||
\(853\) | −3.22130 | + | 16.1946i | −0.110295 | + | 0.554491i | 0.885636 | + | 0.464379i | \(0.153723\pi\) |
−0.995932 | + | 0.0901121i | \(0.971277\pi\) | |||||||
\(854\) | 5.71038 | − | 5.97822i | 0.195405 | − | 0.204570i | ||||
\(855\) | −18.4502 | − | 44.5427i | −0.630984 | − | 1.52333i | ||||
\(856\) | 18.6050 | + | 6.24756i | 0.635907 | + | 0.213537i | ||||
\(857\) | −3.26603 | + | 7.88490i | −0.111566 | + | 0.269343i | −0.969794 | − | 0.243924i | \(-0.921565\pi\) |
0.858229 | + | 0.513267i | \(0.171565\pi\) | |||||||
\(858\) | −1.44874 | + | 0.639354i | −0.0494592 | + | 0.0218272i | ||||
\(859\) | −3.93549 | − | 5.88988i | −0.134277 | − | 0.200960i | 0.758237 | − | 0.651979i | \(-0.226061\pi\) |
−0.892515 | + | 0.451019i | \(0.851061\pi\) | |||||||
\(860\) | −13.7306 | + | 15.0503i | −0.468209 | + | 0.513210i | ||||
\(861\) | 5.90515 | − | 1.17461i | 0.201247 | − | 0.0400305i | ||||
\(862\) | 17.0929 | − | 3.80903i | 0.582187 | − | 0.129736i | ||||
\(863\) | 17.7071i | 0.602756i | 0.953505 | + | 0.301378i | \(0.0974466\pi\) | ||||
−0.953505 | + | 0.301378i | \(0.902553\pi\) | |||||||
\(864\) | −46.9302 | − | 37.2454i | −1.59660 | − | 1.26711i | ||||
\(865\) | 42.2205i | 1.43554i | ||||||||
\(866\) | −6.06623 | − | 27.2221i | −0.206139 | − | 0.925044i | ||||
\(867\) | 15.8446 | − | 3.15168i | 0.538110 | − | 0.107037i | ||||
\(868\) | 17.9531 | − | 0.823198i | 0.609369 | − | 0.0279412i | ||||
\(869\) | 8.84650 | + | 13.2397i | 0.300097 | + | 0.449127i | ||||
\(870\) | 7.75309 | + | 17.5681i | 0.262854 | + | 0.595614i | ||||
\(871\) | −0.216082 | + | 0.521667i | −0.00732165 | + | 0.0176760i | ||||
\(872\) | −42.4891 | − | 37.0160i | −1.43886 | − | 1.25352i | ||||
\(873\) | 10.0187 | + | 24.1873i | 0.339082 | + | 0.818616i | ||||
\(874\) | −12.4356 | − | 11.8784i | −0.420639 | − | 0.401794i | ||||
\(875\) | 4.87086 | − | 24.4875i | 0.164665 | − | 0.827827i | ||||
\(876\) | 43.4373 | − | 71.9368i | 1.46761 | − | 2.43052i | ||||
\(877\) | 23.3455 | − | 34.9391i | 0.788323 | − | 1.17981i | −0.191804 | − | 0.981433i | \(-0.561434\pi\) |
0.980126 | − | 0.198375i | \(-0.0635664\pi\) | |||||||
\(878\) | −14.8369 | − | 2.59942i | −0.500722 | − | 0.0877263i | ||||
\(879\) | 39.0360 | − | 39.0360i | 1.31665 | − | 1.31665i | ||||
\(880\) | −8.17763 | + | 26.3373i | −0.275668 | + | 0.887831i | ||||
\(881\) | −22.0191 | − | 22.0191i | −0.741844 | − | 0.741844i | 0.231089 | − | 0.972933i | \(-0.425771\pi\) |
−0.972933 | + | 0.231089i | \(0.925771\pi\) | |||||||
\(882\) | 12.2953 | + | 17.5187i | 0.414005 | + | 0.589886i | ||||
\(883\) | −37.7422 | − | 25.2185i | −1.27012 | − | 0.848670i | −0.276457 | − | 0.961026i | \(-0.589160\pi\) |
−0.993668 | + | 0.112356i | \(0.964160\pi\) | |||||||
\(884\) | 0.461042 | + | 0.625907i | 0.0155065 | + | 0.0210515i | ||||
\(885\) | −5.05617 | − | 1.00573i | −0.169961 | − | 0.0338074i | ||||
\(886\) | 27.8190 | − | 0.637453i | 0.934599 | − | 0.0214156i | ||||
\(887\) | −44.8061 | + | 18.5593i | −1.50444 | + | 0.623160i | −0.974402 | − | 0.224812i | \(-0.927823\pi\) |
−0.530040 | + | 0.847973i | \(0.677823\pi\) | |||||||
\(888\) | 52.4693 | + | 67.9168i | 1.76075 | + | 2.27914i | ||||
\(889\) | −10.2045 | − | 4.22683i | −0.342247 | − | 0.141763i | ||||
\(890\) | −14.3018 | + | 36.8964i | −0.479398 | + | 1.23677i | ||||
\(891\) | −35.2908 | + | 23.5806i | −1.18229 | + | 0.789979i | ||||
\(892\) | 12.7046 | − | 5.95813i | 0.425382 | − | 0.199493i | ||||
\(893\) | 7.99485 | + | 40.1928i | 0.267537 | + | 1.34500i | ||||
\(894\) | 12.2086 | + | 7.75897i | 0.408316 | + | 0.259499i | ||||
\(895\) | −4.11345 | −0.137497 | ||||||||
\(896\) | −8.52145 | − | 22.8663i | −0.284682 | − | 0.763909i | ||||
\(897\) | −1.21649 | −0.0406175 | ||||||||
\(898\) | 36.9358 | + | 23.4739i | 1.23256 | + | 0.783335i | ||||
\(899\) | −1.67297 | − | 8.41060i | −0.0557968 | − | 0.280509i | ||||
\(900\) | 4.58754 | − | 2.15144i | 0.152918 | − | 0.0717145i | ||||
\(901\) | 1.64224 | − | 1.09731i | 0.0547111 | − | 0.0365568i | ||||
\(902\) | 1.49113 | − | 3.84689i | 0.0496493 | − | 0.128087i | ||||
\(903\) | −29.0655 | − | 12.0393i | −0.967239 | − | 0.400644i | ||||
\(904\) | −20.3575 | + | 15.7272i | −0.677080 | + | 0.523080i | ||||
\(905\) | 38.8196 | − | 16.0796i | 1.29041 | − | 0.534504i | ||||
\(906\) | −15.6783 | + | 0.359256i | −0.520875 | + | 0.0119355i | ||||
\(907\) | −47.1400 | − | 9.37673i | −1.56526 | − | 0.311349i | −0.665047 | − | 0.746802i | \(-0.731588\pi\) |
−0.900212 | + | 0.435453i | \(0.856588\pi\) | |||||||
\(908\) | −20.5125 | − | 27.8475i | −0.680730 | − | 0.924153i | ||||
\(909\) | −29.4855 | − | 19.7016i | −0.977972 | − | 0.653460i | ||||
\(910\) | −0.426601 | − | 0.607834i | −0.0141417 | − | 0.0201495i | ||||
\(911\) | 36.2741 | + | 36.2741i | 1.20182 | + | 1.20182i | 0.973614 | + | 0.228202i | \(0.0732847\pi\) |
0.228202 | + | 0.973614i | \(0.426715\pi\) | |||||||
\(912\) | 37.9121 | − | 19.9471i | 1.25540 | − | 0.660514i | ||||
\(913\) | 33.7489 | − | 33.7489i | 1.11693 | − | 1.11693i | ||||
\(914\) | 54.8824 | + | 9.61537i | 1.81535 | + | 0.318048i | ||||
\(915\) | 9.93321 | − | 14.8661i | 0.328382 | − | 0.491458i | ||||
\(916\) | −3.59607 | + | 5.95548i | −0.118818 | + | 0.196774i | ||||
\(917\) | 5.16862 | − | 25.9844i | 0.170683 | − | 0.858081i | ||||
\(918\) | 37.1176 | + | 35.4546i | 1.22506 | + | 1.17018i | ||||
\(919\) | 11.2124 | + | 27.0692i | 0.369864 | + | 0.892932i | 0.993772 | + | 0.111433i | \(0.0355442\pi\) |
−0.623907 | + | 0.781498i | \(0.714456\pi\) | |||||||
\(920\) | −13.9161 | + | 15.9737i | −0.458801 | + | 0.526638i | ||||
\(921\) | 27.8172 | − | 67.1567i | 0.916609 | − | 2.21289i | ||||
\(922\) | 4.96470 | + | 11.2497i | 0.163504 | + | 0.370490i | ||||
\(923\) | 0.640131 | + | 0.958024i | 0.0210702 | + | 0.0315337i | ||||
\(924\) | −42.5421 | + | 1.95067i | −1.39953 | + | 0.0641722i | ||||
\(925\) | −3.80569 | + | 0.756999i | −0.125130 | + | 0.0248900i | ||||
\(926\) | 10.9771 | + | 49.2593i | 0.360729 | + | 1.61876i | ||||
\(927\) | − | 86.4036i | − | 2.83787i | ||||||
\(928\) | −10.1776 | + | 5.65623i | −0.334095 | + | 0.185675i | ||||
\(929\) | 42.1312i | 1.38228i | 0.722722 | + | 0.691139i | \(0.242891\pi\) | ||||
−0.722722 | + | 0.691139i | \(0.757109\pi\) | |||||||
\(930\) | 37.9369 | − | 8.45394i | 1.24400 | − | 0.277216i | ||||
\(931\) | −8.02402 | + | 1.59608i | −0.262976 | + | 0.0523093i | ||||
\(932\) | −35.5286 | + | 38.9434i | −1.16378 | + | 1.27563i | ||||
\(933\) | 9.85133 | + | 14.7436i | 0.322518 | + | 0.482682i | ||||
\(934\) | 47.7706 | − | 21.0820i | 1.56310 | − | 0.689823i | ||||
\(935\) | 9.04148 | − | 21.8281i | 0.295688 | − | 0.713854i | ||||
\(936\) | 0.658295 | − | 1.96038i | 0.0215170 | − | 0.0640771i | ||||
\(937\) | 11.2961 | + | 27.2713i | 0.369028 | + | 0.890913i | 0.993910 | + | 0.110194i | \(0.0351472\pi\) |
−0.624882 | + | 0.780719i | \(0.714853\pi\) | |||||||
\(938\) | −10.4888 | + | 10.9808i | −0.342471 | + | 0.358534i | ||||
\(939\) | 4.32586 | − | 21.7476i | 0.141169 | − | 0.709705i | ||||
\(940\) | 49.0109 | − | 12.1066i | 1.59856 | − | 0.394873i | ||||
\(941\) | −6.97461 | + | 10.4382i | −0.227366 | + | 0.340277i | −0.927559 | − | 0.373676i | \(-0.878097\pi\) |
0.700193 | + | 0.713953i | \(0.253097\pi\) | |||||||
\(942\) | −11.3516 | + | 64.7926i | −0.369856 | + | 2.11106i | ||||
\(943\) | 2.24114 | − | 2.24114i | 0.0729815 | − | 0.0729815i | ||||
\(944\) | 0.326710 | − | 3.10877i | 0.0106335 | − | 0.101182i | ||||
\(945\) | −34.6716 | − | 34.6716i | −1.12787 | − | 1.12787i | ||||
\(946\) | −17.6459 | + | 12.3846i | −0.573717 | + | 0.402657i | ||||
\(947\) | −12.5016 | − | 8.35333i | −0.406249 | − | 0.271447i | 0.335612 | − | 0.942000i | \(-0.391057\pi\) |
−0.741861 | + | 0.670553i | \(0.766057\pi\) | |||||||
\(948\) | −30.1273 | − | 4.56959i | −0.978488 | − | 0.148413i | ||||
\(949\) | 1.52080 | + | 0.302507i | 0.0493674 | + | 0.00981979i | ||||
\(950\) | 0.0443698 | + | 1.93634i | 0.00143955 | + | 0.0628232i | ||||
\(951\) | −96.5906 | + | 40.0091i | −3.13216 | + | 1.29738i | ||||
\(952\) | 5.47717 | + | 20.1761i | 0.177516 | + | 0.653910i | ||||
\(953\) | 42.7086 | + | 17.6905i | 1.38347 | + | 0.573051i | 0.945407 | − | 0.325893i | \(-0.105665\pi\) |
0.438062 | + | 0.898945i | \(0.355665\pi\) | |||||||
\(954\) | −4.89896 | − | 1.89894i | −0.158610 | − | 0.0614803i | ||||
\(955\) | −22.5944 | + | 15.0971i | −0.731138 | + | 0.488531i | ||||
\(956\) | −29.8581 | − | 10.7936i | −0.965680 | − | 0.349089i | ||||
\(957\) | 3.96431 | + | 19.9299i | 0.128148 | + | 0.644243i | ||||
\(958\) | −16.9788 | + | 26.7158i | −0.548560 | + | 0.863149i | ||||
\(959\) | −2.40877 | −0.0777832 | ||||||||
\(960\) | −26.6866 | − | 45.5299i | −0.861305 | − | 1.46947i | ||||
\(961\) | 13.6430 | 0.440098 | ||||||||
\(962\) | −0.849420 | + | 1.33655i | −0.0273864 | + | 0.0430920i | ||||
\(963\) | 8.72606 | + | 43.8688i | 0.281193 | + | 1.41365i | ||||
\(964\) | 14.5278 | − | 40.1880i | 0.467907 | − | 1.29437i | ||||
\(965\) | −11.2679 | + | 7.52898i | −0.362727 | + | 0.242367i | ||||
\(966\) | −30.5040 | − | 11.8240i | −0.981450 | − | 0.380430i | ||||
\(967\) | −35.3386 | − | 14.6377i | −1.13641 | − | 0.470718i | −0.266457 | − | 0.963847i | \(-0.585853\pi\) |
−0.869956 | + | 0.493129i | \(0.835853\pi\) | |||||||
\(968\) | 0.959549 | − | 1.67465i | 0.0308411 | − | 0.0538254i | ||||
\(969\) | −33.9079 | + | 14.0451i | −1.08928 | + | 0.451194i | ||||
\(970\) | 0.282417 | + | 12.3249i | 0.00906787 | + | 0.395730i | ||||
\(971\) | 0.620988 | + | 0.123522i | 0.0199285 | + | 0.00396402i | 0.205044 | − | 0.978753i | \(-0.434266\pi\) |
−0.185116 | + | 0.982717i | \(0.559266\pi\) | |||||||
\(972\) | 2.65062 | − | 17.4755i | 0.0850186 | − | 0.560526i | ||||
\(973\) | 5.48692 | + | 3.66624i | 0.175903 | + | 0.117534i | ||||
\(974\) | −40.2383 | + | 28.2408i | −1.28932 | + | 0.904893i | ||||
\(975\) | 0.0968801 | + | 0.0968801i | 0.00310265 | + | 0.00310265i | ||||
\(976\) | 9.52748 | + | 5.17286i | 0.304967 | + | 0.165579i | ||||
\(977\) | 14.4692 | − | 14.4692i | 0.462911 | − | 0.462911i | −0.436697 | − | 0.899608i | \(-0.643852\pi\) |
0.899608 | + | 0.436697i | \(0.143852\pi\) | |||||||
\(978\) | 10.7517 | − | 61.3682i | 0.343801 | − | 1.96234i | ||||
\(979\) | −23.2641 | + | 34.8172i | −0.743524 | + | 1.11276i | ||||
\(980\) | 2.41694 | + | 9.78445i | 0.0772062 | + | 0.312553i | ||||
\(981\) | 25.0549 | − | 125.960i | 0.799942 | − | 4.02158i | ||||
\(982\) | −25.5342 | + | 26.7319i | −0.814831 | + | 0.853049i | ||||
\(983\) | −6.41367 | − | 15.4840i | −0.204564 | − | 0.493862i | 0.787987 | − | 0.615692i | \(-0.211124\pi\) |
−0.992551 | + | 0.121831i | \(0.961124\pi\) | |||||||
\(984\) | 3.51524 | + | 7.06964i | 0.112062 | + | 0.225372i | ||||
\(985\) | −19.0322 | + | 45.9477i | −0.606415 | + | 1.46402i | ||||
\(986\) | 9.12627 | − | 4.02757i | 0.290640 | − | 0.128264i | ||||
\(987\) | 43.3123 | + | 64.8214i | 1.37864 | + | 2.06329i | ||||
\(988\) | 0.583967 | + | 0.532762i | 0.0185785 | + | 0.0169494i | ||||
\(989\) | −16.2429 | + | 3.23091i | −0.516494 | + | 0.102737i | ||||
\(990\) | −61.3457 | + | 13.6704i | −1.94970 | + | 0.434475i | ||||
\(991\) | − | 53.4671i | − | 1.69844i | −0.528041 | − | 0.849219i | \(-0.677073\pi\) | ||
0.528041 | − | 0.849219i | \(-0.322927\pi\) | |||||||
\(992\) | 7.20966 | + | 22.4375i | 0.228907 | + | 0.712393i | ||||
\(993\) | − | 44.5709i | − | 1.41441i | ||||||
\(994\) | 6.73980 | + | 30.2447i | 0.213774 | + | 0.959304i | ||||
\(995\) | 30.8998 | − | 6.14636i | 0.979590 | − | 0.194853i | ||||
\(996\) | 4.18359 | + | 91.2399i | 0.132562 | + | 2.89105i | ||||
\(997\) | −17.9595 | − | 26.8783i | −0.568783 | − | 0.851244i | 0.429883 | − | 0.902885i | \(-0.358555\pi\) |
−0.998666 | + | 0.0516411i | \(0.983555\pi\) | |||||||
\(998\) | −19.1822 | − | 43.4659i | −0.607203 | − | 1.37589i | ||||
\(999\) | −40.0155 | + | 96.6059i | −1.26603 | + | 3.05648i |
(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 | 64.2.i.a.21.6 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.469.2 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.177.7 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.97.1 | 56 | |||
8.5 | even | 2 | 512.2.i.b.97.7 | 56 | |||
64.3 | odd | 16 | 256.2.i.a.81.7 | 56 | |||
64.29 | even | 16 | 512.2.i.b.417.7 | 56 | |||
64.35 | odd | 16 | 512.2.i.a.417.1 | 56 | |||
64.61 | even | 16 | inner | 64.2.i.a.61.6 | yes | 56 | |
192.125 | odd | 16 | 576.2.bd.a.253.2 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.21.6 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.61.6 | yes | 56 | 64.61 | even | 16 | inner | |
256.2.i.a.81.7 | 56 | 64.3 | odd | 16 | |||
256.2.i.a.177.7 | 56 | 4.3 | odd | 2 | |||
512.2.i.a.97.1 | 56 | 8.3 | odd | 2 | |||
512.2.i.a.417.1 | 56 | 64.35 | odd | 16 | |||
512.2.i.b.97.7 | 56 | 8.5 | even | 2 | |||
512.2.i.b.417.7 | 56 | 64.29 | even | 16 | |||
576.2.bd.a.253.2 | 56 | 192.125 | odd | 16 | |||
576.2.bd.a.469.2 | 56 | 3.2 | odd | 2 |