Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 19x^{14} + 140x^{12} + 511x^{10} + 979x^{8} + 956x^{6} + 410x^{4} + 44x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 531.3 | ||
Root | \(0.176392i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.531 |
Dual form | 961.2.d.n.628.3 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.380762 | + | 1.17187i | 0.269240 | + | 0.828634i | 0.990686 | + | 0.136164i | \(0.0434774\pi\) |
−0.721447 | + | 0.692470i | \(0.756523\pi\) | |||||||
\(3\) | −0.641202 | + | 1.97342i | −0.370198 | + | 1.13935i | 0.576463 | + | 0.817123i | \(0.304433\pi\) |
−0.946661 | + | 0.322230i | \(0.895567\pi\) | |||||||
\(4\) | 0.389745 | − | 0.283166i | 0.194873 | − | 0.141583i | ||||
\(5\) | −1.54562 | −0.691223 | −0.345612 | − | 0.938378i | \(-0.612329\pi\) | ||||
−0.345612 | + | 0.938378i | \(0.612329\pi\) | |||||||
\(6\) | −2.55673 | −1.04378 | ||||||||
\(7\) | 3.07730 | − | 2.23579i | 1.16311 | − | 0.845050i | 0.172944 | − | 0.984932i | \(-0.444672\pi\) |
0.990168 | + | 0.139881i | \(0.0446721\pi\) | |||||||
\(8\) | 2.47393 | + | 1.79742i | 0.874666 | + | 0.635482i | ||||
\(9\) | −1.05619 | − | 0.767366i | −0.352063 | − | 0.255789i | ||||
\(10\) | −0.588515 | − | 1.81126i | −0.186105 | − | 0.572771i | ||||
\(11\) | −3.04314 | + | 2.21097i | −0.917540 | + | 0.666632i | −0.942911 | − | 0.333046i | \(-0.891924\pi\) |
0.0253702 | + | 0.999678i | \(0.491924\pi\) | |||||||
\(12\) | 0.308900 | + | 0.950697i | 0.0891718 | + | 0.274443i | ||||
\(13\) | 0.814279 | − | 2.50609i | 0.225840 | − | 0.695065i | −0.772365 | − | 0.635179i | \(-0.780926\pi\) |
0.998205 | − | 0.0598862i | \(-0.0190738\pi\) | |||||||
\(14\) | 3.79177 | + | 2.75488i | 1.01339 | + | 0.736273i | ||||
\(15\) | 0.991057 | − | 3.05016i | 0.255890 | − | 0.787548i | ||||
\(16\) | −0.866611 | + | 2.66715i | −0.216653 | + | 0.666789i | ||||
\(17\) | 3.05350 | + | 2.21850i | 0.740584 | + | 0.538066i | 0.892894 | − | 0.450267i | \(-0.148671\pi\) |
−0.152310 | + | 0.988333i | \(0.548671\pi\) | |||||||
\(18\) | 0.497093 | − | 1.52989i | 0.117166 | − | 0.360599i | ||||
\(19\) | 1.88448 | + | 5.79984i | 0.432330 | + | 1.33057i | 0.895798 | + | 0.444461i | \(0.146605\pi\) |
−0.463468 | + | 0.886114i | \(0.653395\pi\) | |||||||
\(20\) | −0.602399 | + | 0.437668i | −0.134701 | + | 0.0978657i | ||||
\(21\) | 2.43898 | + | 7.50641i | 0.532229 | + | 1.63803i | ||||
\(22\) | −3.74967 | − | 2.72429i | −0.799432 | − | 0.580821i | ||||
\(23\) | 0.736082 | + | 0.534795i | 0.153484 | + | 0.111512i | 0.661877 | − | 0.749613i | \(-0.269760\pi\) |
−0.508393 | + | 0.861125i | \(0.669760\pi\) | |||||||
\(24\) | −5.13334 | + | 3.72959i | −1.04784 | + | 0.761300i | ||||
\(25\) | −2.61105 | −0.522210 | ||||||||
\(26\) | 3.24685 | 0.636760 | ||||||||
\(27\) | −2.84451 | + | 2.06665i | −0.547425 | + | 0.397728i | ||||
\(28\) | 0.566263 | − | 1.74278i | 0.107014 | − | 0.329354i | ||||
\(29\) | 2.10397 | + | 6.47535i | 0.390697 | + | 1.20244i | 0.932262 | + | 0.361784i | \(0.117832\pi\) |
−0.541565 | + | 0.840659i | \(0.682168\pi\) | |||||||
\(30\) | 3.95173 | 0.721485 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | 2.66037 | 0.470292 | ||||||||
\(33\) | −2.41190 | − | 7.42306i | −0.419858 | − | 1.29219i | ||||
\(34\) | −1.43713 | + | 4.42302i | −0.246465 | + | 0.758541i | ||||
\(35\) | −4.75635 | + | 3.45569i | −0.803970 | + | 0.584119i | ||||
\(36\) | −0.628936 | −0.104823 | ||||||||
\(37\) | 1.81406 | 0.298230 | 0.149115 | − | 0.988820i | \(-0.452357\pi\) | ||||
0.149115 | + | 0.988820i | \(0.452357\pi\) | |||||||
\(38\) | −6.07909 | + | 4.41672i | −0.986159 | + | 0.716487i | ||||
\(39\) | 4.42345 | + | 3.21383i | 0.708320 | + | 0.514624i | ||||
\(40\) | −3.82376 | − | 2.77813i | −0.604590 | − | 0.439260i | ||||
\(41\) | 0.104183 | + | 0.320644i | 0.0162707 | + | 0.0500761i | 0.958862 | − | 0.283872i | \(-0.0916190\pi\) |
−0.942592 | + | 0.333948i | \(0.891619\pi\) | |||||||
\(42\) | −7.86783 | + | 5.71631i | −1.21403 | + | 0.882046i | ||||
\(43\) | −1.20022 | − | 3.69390i | −0.183032 | − | 0.563314i | 0.816877 | − | 0.576812i | \(-0.195703\pi\) |
−0.999909 | + | 0.0134976i | \(0.995703\pi\) | |||||||
\(44\) | −0.559976 | + | 1.72343i | −0.0844195 | + | 0.259817i | ||||
\(45\) | 1.63247 | + | 1.18606i | 0.243354 | + | 0.176807i | ||||
\(46\) | −0.346435 | + | 1.06622i | −0.0510791 | + | 0.157205i | ||||
\(47\) | −0.367467 | + | 1.13095i | −0.0536005 | + | 0.164965i | −0.974273 | − | 0.225370i | \(-0.927641\pi\) |
0.920673 | + | 0.390335i | \(0.127641\pi\) | |||||||
\(48\) | −4.70774 | − | 3.42037i | −0.679504 | − | 0.493688i | ||||
\(49\) | 2.30792 | − | 7.10304i | 0.329702 | − | 1.01472i | ||||
\(50\) | −0.994189 | − | 3.05980i | −0.140600 | − | 0.432721i | ||||
\(51\) | −6.33595 | + | 4.60333i | −0.887210 | + | 0.644596i | ||||
\(52\) | −0.392280 | − | 1.20731i | −0.0543995 | − | 0.167424i | ||||
\(53\) | −1.89644 | − | 1.37784i | −0.260496 | − | 0.189261i | 0.449870 | − | 0.893094i | \(-0.351470\pi\) |
−0.710366 | + | 0.703833i | \(0.751470\pi\) | |||||||
\(54\) | −3.50492 | − | 2.54647i | −0.476959 | − | 0.346531i | ||||
\(55\) | 4.70354 | − | 3.41732i | 0.634225 | − | 0.460792i | ||||
\(56\) | 11.6317 | 1.55435 | ||||||||
\(57\) | −12.6538 | −1.67604 | ||||||||
\(58\) | −6.78713 | + | 4.93114i | −0.891194 | + | 0.647490i | ||||
\(59\) | 2.40379 | − | 7.39811i | 0.312947 | − | 0.963152i | −0.663644 | − | 0.748048i | \(-0.730991\pi\) |
0.976591 | − | 0.215103i | \(-0.0690089\pi\) | |||||||
\(60\) | −0.477443 | − | 1.46942i | −0.0616377 | − | 0.189701i | ||||
\(61\) | 2.72343 | 0.348700 | 0.174350 | − | 0.984684i | \(-0.444218\pi\) | ||||
0.174350 | + | 0.984684i | \(0.444218\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.96588 | −0.625642 | ||||||||
\(64\) | 2.74619 | + | 8.45191i | 0.343274 | + | 1.05649i | ||||
\(65\) | −1.25857 | + | 3.87348i | −0.156106 | + | 0.480446i | ||||
\(66\) | 7.78047 | − | 5.65284i | 0.957709 | − | 0.695817i | ||||
\(67\) | −7.42118 | −0.906642 | −0.453321 | − | 0.891347i | \(-0.649761\pi\) | ||||
−0.453321 | + | 0.891347i | \(0.649761\pi\) | |||||||
\(68\) | 1.81829 | 0.220501 | ||||||||
\(69\) | −1.52735 | + | 1.10969i | −0.183871 | + | 0.133590i | ||||
\(70\) | −5.86065 | − | 4.25801i | −0.700481 | − | 0.508929i | ||||
\(71\) | 4.12451 | + | 2.99664i | 0.489490 | + | 0.355635i | 0.804988 | − | 0.593291i | \(-0.202172\pi\) |
−0.315498 | + | 0.948926i | \(0.602172\pi\) | |||||||
\(72\) | −1.23366 | − | 3.79682i | −0.145388 | − | 0.447459i | ||||
\(73\) | 4.36201 | − | 3.16919i | 0.510535 | − | 0.370925i | −0.302492 | − | 0.953152i | \(-0.597818\pi\) |
0.813026 | + | 0.582227i | \(0.197818\pi\) | |||||||
\(74\) | 0.690727 | + | 2.12584i | 0.0802954 | + | 0.247124i | ||||
\(75\) | 1.67421 | − | 5.15269i | 0.193321 | − | 0.594982i | ||||
\(76\) | 2.37679 | + | 1.72684i | 0.272636 | + | 0.198082i | ||||
\(77\) | −4.42139 | + | 13.6076i | −0.503865 | + | 1.55074i | ||||
\(78\) | −2.08189 | + | 6.40740i | −0.235728 | + | 0.725495i | ||||
\(79\) | −7.87758 | − | 5.72340i | −0.886297 | − | 0.643933i | 0.0486128 | − | 0.998818i | \(-0.484520\pi\) |
−0.934910 | + | 0.354885i | \(0.884520\pi\) | |||||||
\(80\) | 1.33945 | − | 4.12241i | 0.149755 | − | 0.460900i | ||||
\(81\) | −3.46475 | − | 10.6634i | −0.384973 | − | 1.18482i | ||||
\(82\) | −0.336082 | + | 0.244178i | −0.0371141 | + | 0.0269649i | ||||
\(83\) | 2.59424 | + | 7.98426i | 0.284755 | + | 0.876386i | 0.986472 | + | 0.163930i | \(0.0524172\pi\) |
−0.701717 | + | 0.712456i | \(0.747583\pi\) | |||||||
\(84\) | 3.07614 | + | 2.23495i | 0.335635 | + | 0.243853i | ||||
\(85\) | −4.71957 | − | 3.42897i | −0.511909 | − | 0.371924i | ||||
\(86\) | 3.87175 | − | 2.81299i | 0.417502 | − | 0.303333i | ||||
\(87\) | −14.1277 | −1.51464 | ||||||||
\(88\) | −11.5025 | −1.22617 | ||||||||
\(89\) | 4.12243 | − | 2.99512i | 0.436976 | − | 0.317482i | −0.347456 | − | 0.937696i | \(-0.612954\pi\) |
0.784432 | + | 0.620214i | \(0.212954\pi\) | |||||||
\(90\) | −0.768318 | + | 2.36464i | −0.0809878 | + | 0.249255i | ||||
\(91\) | −3.09732 | − | 9.53258i | −0.324688 | − | 0.999285i | ||||
\(92\) | 0.438320 | 0.0456980 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.46523 | −0.151127 | ||||||||
\(95\) | −2.91270 | − | 8.96437i | −0.298837 | − | 0.919725i | ||||
\(96\) | −1.70584 | + | 5.25003i | −0.174101 | + | 0.535829i | ||||
\(97\) | −8.82979 | + | 6.41522i | −0.896530 | + | 0.651367i | −0.937572 | − | 0.347791i | \(-0.886932\pi\) |
0.0410427 | + | 0.999157i | \(0.486932\pi\) | |||||||
\(98\) | 9.20257 | 0.929600 | ||||||||
\(99\) | 4.91075 | 0.493549 | ||||||||
\(100\) | −1.01764 | + | 0.739362i | −0.101764 | + | 0.0739362i | ||||
\(101\) | 0.322577 | + | 0.234366i | 0.0320976 | + | 0.0233203i | 0.603718 | − | 0.797198i | \(-0.293685\pi\) |
−0.571621 | + | 0.820518i | \(0.693685\pi\) | |||||||
\(102\) | −7.80698 | − | 5.67210i | −0.773006 | − | 0.561622i | ||||
\(103\) | 1.01259 | + | 3.11642i | 0.0997732 | + | 0.307070i | 0.988468 | − | 0.151428i | \(-0.0483873\pi\) |
−0.888695 | + | 0.458499i | \(0.848387\pi\) | |||||||
\(104\) | 6.51896 | − | 4.73630i | 0.639237 | − | 0.464433i | ||||
\(105\) | −3.76974 | − | 11.6021i | −0.367889 | − | 1.13225i | ||||
\(106\) | 0.892554 | − | 2.74700i | 0.0866925 | − | 0.266812i | ||||
\(107\) | −2.55394 | − | 1.85555i | −0.246899 | − | 0.179383i | 0.457452 | − | 0.889234i | \(-0.348762\pi\) |
−0.704351 | + | 0.709852i | \(0.748762\pi\) | |||||||
\(108\) | −0.523425 | + | 1.61094i | −0.0503666 | + | 0.155013i | ||||
\(109\) | 2.14959 | − | 6.61576i | 0.205893 | − | 0.633675i | −0.793782 | − | 0.608202i | \(-0.791891\pi\) |
0.999676 | − | 0.0254724i | \(-0.00810899\pi\) | |||||||
\(110\) | 5.79557 | + | 4.21073i | 0.552586 | + | 0.401477i | ||||
\(111\) | −1.16318 | + | 3.57991i | −0.110404 | + | 0.339790i | ||||
\(112\) | 3.29638 | + | 10.1452i | 0.311479 | + | 0.958632i | ||||
\(113\) | 12.3349 | − | 8.96184i | 1.16037 | − | 0.843059i | 0.170546 | − | 0.985350i | \(-0.445447\pi\) |
0.989825 | + | 0.142291i | \(0.0454469\pi\) | |||||||
\(114\) | −4.81811 | − | 14.8286i | −0.451257 | − | 1.38883i | ||||
\(115\) | −1.13770 | − | 0.826591i | −0.106092 | − | 0.0770800i | ||||
\(116\) | 2.65362 | + | 1.92796i | 0.246382 | + | 0.179007i | ||||
\(117\) | −2.78312 | + | 2.02206i | −0.257300 | + | 0.186939i | ||||
\(118\) | 9.58486 | 0.882358 | ||||||||
\(119\) | 14.3567 | 1.31607 | ||||||||
\(120\) | 7.93421 | − | 5.76454i | 0.724291 | − | 0.526228i | ||||
\(121\) | 0.973115 | − | 2.99494i | 0.0884650 | − | 0.272267i | ||||
\(122\) | 1.03698 | + | 3.19150i | 0.0938838 | + | 0.288945i | ||||
\(123\) | −0.699567 | −0.0630778 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.7638 | 1.05219 | ||||||||
\(126\) | −1.89082 | − | 5.81935i | −0.168448 | − | 0.518429i | ||||
\(127\) | 6.25029 | − | 19.2364i | 0.554624 | − | 1.70696i | −0.142311 | − | 0.989822i | \(-0.545453\pi\) |
0.696935 | − | 0.717134i | \(-0.254547\pi\) | |||||||
\(128\) | −4.55428 | + | 3.30888i | −0.402545 | + | 0.292466i | ||||
\(129\) | 8.05919 | 0.709572 | ||||||||
\(130\) | −5.01841 | −0.440143 | ||||||||
\(131\) | −10.2351 | + | 7.43624i | −0.894245 | + | 0.649707i | −0.936981 | − | 0.349379i | \(-0.886392\pi\) |
0.0427363 | + | 0.999086i | \(0.486392\pi\) | |||||||
\(132\) | −3.04199 | − | 2.21013i | −0.264771 | − | 0.192367i | ||||
\(133\) | 18.7664 | + | 13.6346i | 1.62725 | + | 1.18227i | ||||
\(134\) | −2.82570 | − | 8.69663i | −0.244104 | − | 0.751274i | ||||
\(135\) | 4.39653 | − | 3.19427i | 0.378393 | − | 0.274919i | ||||
\(136\) | 3.56659 | + | 10.9768i | 0.305832 | + | 0.941256i | ||||
\(137\) | 3.05247 | − | 9.39455i | 0.260790 | − | 0.802630i | −0.731843 | − | 0.681473i | \(-0.761340\pi\) |
0.992633 | − | 0.121157i | \(-0.0386605\pi\) | |||||||
\(138\) | −1.88196 | − | 1.36732i | −0.160203 | − | 0.116394i | ||||
\(139\) | 4.78945 | − | 14.7404i | 0.406236 | − | 1.25026i | −0.513623 | − | 0.858016i | \(-0.671697\pi\) |
0.919859 | − | 0.392249i | \(-0.128303\pi\) | |||||||
\(140\) | −0.875229 | + | 2.69368i | −0.0739704 | + | 0.227657i | ||||
\(141\) | −1.99621 | − | 1.45033i | −0.168111 | − | 0.122140i | ||||
\(142\) | −1.94119 | + | 5.97438i | −0.162901 | + | 0.501359i | ||||
\(143\) | 3.06293 | + | 9.42673i | 0.256135 | + | 0.788303i | ||||
\(144\) | 2.96199 | − | 2.15201i | 0.246832 | − | 0.179334i | ||||
\(145\) | −3.25194 | − | 10.0085i | −0.270059 | − | 0.831157i | ||||
\(146\) | 5.37475 | + | 3.90499i | 0.444818 | + | 0.323179i | ||||
\(147\) | 12.5374 | + | 9.10897i | 1.03407 | + | 0.751295i | ||||
\(148\) | 0.707023 | − | 0.513682i | 0.0581169 | − | 0.0422244i | ||||
\(149\) | −15.2432 | −1.24878 | −0.624388 | − | 0.781115i | \(-0.714651\pi\) | ||||
−0.624388 | + | 0.781115i | \(0.714651\pi\) | |||||||
\(150\) | 6.67574 | 0.545072 | ||||||||
\(151\) | −0.211823 | + | 0.153899i | −0.0172379 | + | 0.0125241i | −0.596371 | − | 0.802709i | \(-0.703391\pi\) |
0.579133 | + | 0.815233i | \(0.303391\pi\) | |||||||
\(152\) | −5.76265 | + | 17.7356i | −0.467412 | + | 1.43855i | ||||
\(153\) | −1.52267 | − | 4.68631i | −0.123101 | − | 0.378866i | ||||
\(154\) | −17.6298 | −1.42065 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.63407 | 0.210894 | ||||||||
\(157\) | 4.92157 | + | 15.1470i | 0.392784 | + | 1.20886i | 0.930674 | + | 0.365850i | \(0.119222\pi\) |
−0.537890 | + | 0.843015i | \(0.680778\pi\) | |||||||
\(158\) | 3.70757 | − | 11.4107i | 0.294958 | − | 0.907788i | ||||
\(159\) | 3.93506 | − | 2.85899i | 0.312071 | − | 0.226733i | ||||
\(160\) | −4.11193 | −0.325077 | ||||||||
\(161\) | 3.46084 | 0.272752 | ||||||||
\(162\) | 11.1768 | − | 8.12045i | 0.878135 | − | 0.638003i | ||||
\(163\) | 0.107741 | + | 0.0782785i | 0.00843894 | + | 0.00613125i | 0.591997 | − | 0.805940i | \(-0.298340\pi\) |
−0.583558 | + | 0.812072i | \(0.698340\pi\) | |||||||
\(164\) | 0.131401 | + | 0.0954681i | 0.0102607 | + | 0.00745480i | ||||
\(165\) | 3.72789 | + | 11.4733i | 0.290215 | + | 0.893191i | ||||
\(166\) | −8.36869 | + | 6.08021i | −0.649536 | + | 0.471916i | ||||
\(167\) | 1.22024 | + | 3.75551i | 0.0944250 | + | 0.290610i | 0.987103 | − | 0.160084i | \(-0.0511765\pi\) |
−0.892678 | + | 0.450694i | \(0.851176\pi\) | |||||||
\(168\) | −7.45826 | + | 22.9542i | −0.575418 | + | 1.77095i | ||||
\(169\) | 4.89976 | + | 3.55989i | 0.376905 | + | 0.273837i | ||||
\(170\) | 2.22125 | − | 6.83632i | 0.170362 | − | 0.524322i | ||||
\(171\) | 2.46023 | − | 7.57181i | 0.188139 | − | 0.579031i | ||||
\(172\) | −1.51377 | − | 1.09982i | −0.115424 | − | 0.0838603i | ||||
\(173\) | −4.46744 | + | 13.7494i | −0.339653 | + | 1.04535i | 0.624731 | + | 0.780840i | \(0.285209\pi\) |
−0.964384 | + | 0.264505i | \(0.914791\pi\) | |||||||
\(174\) | −5.37928 | − | 16.5557i | −0.407802 | − | 1.25509i | ||||
\(175\) | −8.03500 | + | 5.83777i | −0.607389 | + | 0.441294i | ||||
\(176\) | −3.25978 | − | 10.0326i | −0.245715 | − | 0.756233i | ||||
\(177\) | 13.0582 | + | 9.48737i | 0.981518 | + | 0.713114i | ||||
\(178\) | 5.07954 | + | 3.69050i | 0.380727 | + | 0.276615i | ||||
\(179\) | −14.3357 | + | 10.4155i | −1.07150 | + | 0.778490i | −0.976181 | − | 0.216957i | \(-0.930387\pi\) |
−0.0953185 | + | 0.995447i | \(0.530387\pi\) | |||||||
\(180\) | 0.972098 | 0.0724559 | ||||||||
\(181\) | 12.0592 | 0.896350 | 0.448175 | − | 0.893946i | \(-0.352074\pi\) | ||||
0.448175 | + | 0.893946i | \(0.352074\pi\) | |||||||
\(182\) | 9.99155 | − | 7.25929i | 0.740623 | − | 0.538094i | ||||
\(183\) | −1.74627 | + | 5.37447i | −0.129088 | + | 0.397292i | ||||
\(184\) | 0.859766 | + | 2.64609i | 0.0633828 | + | 0.195072i | ||||
\(185\) | −2.80386 | −0.206144 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.1973 | −1.03821 | ||||||||
\(188\) | 0.177028 | + | 0.544835i | 0.0129111 | + | 0.0397362i | ||||
\(189\) | −4.13280 | + | 12.7195i | −0.300617 | + | 0.925204i | ||||
\(190\) | 9.39599 | − | 6.82658i | 0.681656 | − | 0.495252i | ||||
\(191\) | 5.07152 | 0.366962 | 0.183481 | − | 0.983023i | \(-0.441263\pi\) | ||||
0.183481 | + | 0.983023i | \(0.441263\pi\) | |||||||
\(192\) | −18.4400 | −1.33079 | ||||||||
\(193\) | 16.2141 | − | 11.7802i | 1.16712 | − | 0.847960i | 0.176456 | − | 0.984308i | \(-0.443537\pi\) |
0.990661 | + | 0.136348i | \(0.0435366\pi\) | |||||||
\(194\) | −10.8798 | − | 7.90466i | −0.781126 | − | 0.567521i | ||||
\(195\) | −6.83699 | − | 4.96736i | −0.489607 | − | 0.355720i | ||||
\(196\) | −1.11184 | − | 3.42190i | −0.0794173 | − | 0.244421i | ||||
\(197\) | 17.5624 | − | 12.7599i | 1.25127 | − | 0.909102i | 0.252976 | − | 0.967472i | \(-0.418590\pi\) |
0.998295 | + | 0.0583705i | \(0.0185905\pi\) | |||||||
\(198\) | 1.86983 | + | 5.75473i | 0.132883 | + | 0.408971i | ||||
\(199\) | −4.68640 | + | 14.4233i | −0.332210 | + | 1.02244i | 0.635870 | + | 0.771796i | \(0.280641\pi\) |
−0.968080 | + | 0.250641i | \(0.919359\pi\) | |||||||
\(200\) | −6.45956 | − | 4.69314i | −0.456760 | − | 0.331855i | ||||
\(201\) | 4.75848 | − | 14.6451i | 0.335637 | − | 1.03299i | ||||
\(202\) | −0.151820 | + | 0.467255i | −0.0106820 | + | 0.0328759i | ||||
\(203\) | 20.9521 | + | 15.2226i | 1.47055 | + | 1.06842i | ||||
\(204\) | −1.16589 | + | 3.58825i | −0.0816289 | + | 0.251228i | ||||
\(205\) | −0.161028 | − | 0.495594i | −0.0112467 | − | 0.0346138i | ||||
\(206\) | −3.26647 | + | 2.37323i | −0.227586 | + | 0.165351i | ||||
\(207\) | −0.367058 | − | 1.12969i | −0.0255123 | − | 0.0785187i | ||||
\(208\) | 5.97848 | + | 4.34362i | 0.414533 | + | 0.301176i | ||||
\(209\) | −18.5580 | − | 13.4832i | −1.28368 | − | 0.932651i | ||||
\(210\) | 12.1607 | − | 8.83526i | 0.839167 | − | 0.609691i | ||||
\(211\) | 6.30441 | 0.434013 | 0.217007 | − | 0.976170i | \(-0.430371\pi\) | ||||
0.217007 | + | 0.976170i | \(0.430371\pi\) | |||||||
\(212\) | −1.12929 | −0.0775597 | ||||||||
\(213\) | −8.55826 | + | 6.21794i | −0.586403 | + | 0.426046i | ||||
\(214\) | 1.20201 | − | 3.69940i | 0.0821676 | − | 0.252886i | ||||
\(215\) | 1.85509 | + | 5.70937i | 0.126516 | + | 0.389376i | ||||
\(216\) | −10.7517 | −0.731564 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 8.57126 | 0.580519 | ||||||||
\(219\) | 3.45720 | + | 10.6402i | 0.233616 | + | 0.718996i | ||||
\(220\) | 0.865512 | − | 2.66377i | 0.0583528 | − | 0.179591i | ||||
\(221\) | 8.04618 | − | 5.84589i | 0.541245 | − | 0.393237i | ||||
\(222\) | −4.63806 | −0.311287 | ||||||||
\(223\) | −7.38911 | −0.494811 | −0.247406 | − | 0.968912i | \(-0.579578\pi\) | ||||
−0.247406 | + | 0.968912i | \(0.579578\pi\) | |||||||
\(224\) | 8.18678 | − | 5.94804i | 0.547002 | − | 0.397420i | ||||
\(225\) | 2.75776 | + | 2.00363i | 0.183851 | + | 0.133575i | ||||
\(226\) | 15.1987 | + | 11.0425i | 1.01100 | + | 0.734538i | ||||
\(227\) | 5.94542 | + | 18.2981i | 0.394611 | + | 1.21449i | 0.929264 | + | 0.369417i | \(0.120443\pi\) |
−0.534652 | + | 0.845072i | \(0.679557\pi\) | |||||||
\(228\) | −4.93178 | + | 3.58315i | −0.326615 | + | 0.237300i | ||||
\(229\) | 1.88102 | + | 5.78918i | 0.124301 | + | 0.382560i | 0.993773 | − | 0.111423i | \(-0.0355407\pi\) |
−0.869472 | + | 0.493982i | \(0.835541\pi\) | |||||||
\(230\) | 0.535458 | − | 1.64797i | 0.0353071 | − | 0.108664i | ||||
\(231\) | −24.0186 | − | 17.4505i | −1.58031 | − | 1.14816i | ||||
\(232\) | −6.43383 | + | 19.8013i | −0.422401 | + | 1.30002i | ||||
\(233\) | 5.41646 | − | 16.6702i | 0.354844 | − | 1.09210i | −0.601255 | − | 0.799057i | \(-0.705333\pi\) |
0.956100 | − | 0.293042i | \(-0.0946675\pi\) | |||||||
\(234\) | −3.42929 | − | 2.49152i | −0.224179 | − | 0.162876i | ||||
\(235\) | 0.567965 | − | 1.74802i | 0.0370499 | − | 0.114028i | ||||
\(236\) | −1.15803 | − | 3.56405i | −0.0753813 | − | 0.232000i | ||||
\(237\) | 16.3458 | − | 11.8759i | 1.06177 | − | 0.771423i | ||||
\(238\) | 5.46648 | + | 16.8241i | 0.354339 | + | 1.09054i | ||||
\(239\) | −22.5813 | − | 16.4063i | −1.46066 | − | 1.06123i | −0.983189 | − | 0.182589i | \(-0.941552\pi\) |
−0.477475 | − | 0.878646i | \(-0.658448\pi\) | |||||||
\(240\) | 7.27639 | + | 5.28660i | 0.469689 | + | 0.341249i | ||||
\(241\) | 18.4049 | − | 13.3720i | 1.18557 | − | 0.861364i | 0.192777 | − | 0.981243i | \(-0.438251\pi\) |
0.992789 | + | 0.119879i | \(0.0382507\pi\) | |||||||
\(242\) | 3.88019 | 0.249428 | ||||||||
\(243\) | 12.7170 | 0.815794 | ||||||||
\(244\) | 1.06144 | − | 0.771185i | 0.0679520 | − | 0.0493701i | ||||
\(245\) | −3.56717 | + | 10.9786i | −0.227898 | + | 0.701398i | ||||
\(246\) | −0.266369 | − | 0.819798i | −0.0169830 | − | 0.0522684i | ||||
\(247\) | 16.0694 | 1.02247 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.4197 | −1.10393 | ||||||||
\(250\) | 4.47921 | + | 13.7856i | 0.283290 | + | 0.871878i | ||||
\(251\) | 5.01674 | − | 15.4399i | 0.316654 | − | 0.974559i | −0.658415 | − | 0.752655i | \(-0.728773\pi\) |
0.975068 | − | 0.221904i | \(-0.0712273\pi\) | |||||||
\(252\) | −1.93543 | + | 1.40617i | −0.121921 | + | 0.0885805i | ||||
\(253\) | −3.42241 | −0.215165 | ||||||||
\(254\) | 24.9224 | 1.56377 | ||||||||
\(255\) | 9.79298 | − | 7.11502i | 0.613260 | − | 0.445560i | ||||
\(256\) | 8.76759 | + | 6.37002i | 0.547974 | + | 0.398126i | ||||
\(257\) | −18.8922 | − | 13.7260i | −1.17847 | − | 0.856206i | −0.186468 | − | 0.982461i | \(-0.559704\pi\) |
−0.991998 | + | 0.126255i | \(0.959704\pi\) | |||||||
\(258\) | 3.06864 | + | 9.44429i | 0.191045 | + | 0.587976i | ||||
\(259\) | 5.58243 | − | 4.05587i | 0.346875 | − | 0.252020i | ||||
\(260\) | 0.606317 | + | 1.86605i | 0.0376022 | + | 0.115728i | ||||
\(261\) | 2.74678 | − | 8.45371i | 0.170021 | − | 0.523271i | ||||
\(262\) | −12.6114 | − | 9.16272i | −0.779135 | − | 0.566075i | ||||
\(263\) | 3.21203 | − | 9.88562i | 0.198062 | − | 0.609574i | −0.801865 | − | 0.597506i | \(-0.796159\pi\) |
0.999927 | − | 0.0120680i | \(-0.00384144\pi\) | |||||||
\(264\) | 7.37545 | − | 22.6993i | 0.453928 | − | 1.39705i | ||||
\(265\) | 2.93118 | + | 2.12962i | 0.180061 | + | 0.130822i | ||||
\(266\) | −8.83235 | + | 27.1832i | −0.541546 | + | 1.66671i | ||||
\(267\) | 3.26731 | + | 10.0557i | 0.199956 | + | 0.615402i | ||||
\(268\) | −2.89237 | + | 2.10143i | −0.176680 | + | 0.128365i | ||||
\(269\) | 1.36525 | + | 4.20181i | 0.0832408 | + | 0.256189i | 0.984011 | − | 0.178107i | \(-0.0569973\pi\) |
−0.900770 | + | 0.434296i | \(0.856997\pi\) | |||||||
\(270\) | 5.41729 | + | 3.93589i | 0.329686 | + | 0.239531i | ||||
\(271\) | 4.97777 | + | 3.61656i | 0.302378 | + | 0.219691i | 0.728619 | − | 0.684919i | \(-0.240162\pi\) |
−0.426241 | + | 0.904610i | \(0.640162\pi\) | |||||||
\(272\) | −8.56329 | + | 6.22159i | −0.519225 | + | 0.377239i | ||||
\(273\) | 20.7978 | 1.25874 | ||||||||
\(274\) | 12.1714 | 0.735302 | ||||||||
\(275\) | 7.94578 | − | 5.77295i | 0.479149 | − | 0.348122i | ||||
\(276\) | −0.281052 | + | 0.864989i | −0.0169173 | + | 0.0520662i | ||||
\(277\) | −6.81302 | − | 20.9683i | −0.409355 | − | 1.25987i | −0.917204 | − | 0.398419i | \(-0.869559\pi\) |
0.507849 | − | 0.861446i | \(-0.330441\pi\) | |||||||
\(278\) | 19.0974 | 1.14539 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −17.9782 | −1.07440 | ||||||||
\(281\) | −9.50955 | − | 29.2674i | −0.567292 | − | 1.74595i | −0.661040 | − | 0.750351i | \(-0.729885\pi\) |
0.0937474 | − | 0.995596i | \(-0.470115\pi\) | |||||||
\(282\) | 0.939512 | − | 2.89152i | 0.0559471 | − | 0.172188i | ||||
\(283\) | 17.2687 | − | 12.5464i | 1.02652 | − | 0.745807i | 0.0589075 | − | 0.998263i | \(-0.481238\pi\) |
0.967608 | + | 0.252456i | \(0.0812383\pi\) | |||||||
\(284\) | 2.45606 | 0.145740 | ||||||||
\(285\) | 19.5581 | 1.15852 | ||||||||
\(286\) | −9.88062 | + | 7.17869i | −0.584253 | + | 0.424485i | ||||
\(287\) | 1.03750 | + | 0.753786i | 0.0612415 | + | 0.0444946i | ||||
\(288\) | −2.80985 | − | 2.04148i | −0.165572 | − | 0.120295i | ||||
\(289\) | −0.851145 | − | 2.61955i | −0.0500673 | − | 0.154091i | ||||
\(290\) | 10.4903 | − | 7.62168i | 0.616014 | − | 0.447561i | ||||
\(291\) | −6.99823 | − | 21.5383i | −0.410243 | − | 1.26260i | ||||
\(292\) | 0.802666 | − | 2.47035i | 0.0469725 | − | 0.144566i | ||||
\(293\) | 1.45544 | + | 1.05744i | 0.0850279 | + | 0.0617764i | 0.629487 | − | 0.777011i | \(-0.283265\pi\) |
−0.544459 | + | 0.838787i | \(0.683265\pi\) | |||||||
\(294\) | −5.90071 | + | 18.1605i | −0.344136 | + | 1.05914i | ||||
\(295\) | −3.71535 | + | 11.4347i | −0.216316 | + | 0.665753i | ||||
\(296\) | 4.48787 | + | 3.26063i | 0.260852 | + | 0.189520i | ||||
\(297\) | 4.08691 | − | 12.5782i | 0.237147 | − | 0.729863i | ||||
\(298\) | −5.80405 | − | 17.8630i | −0.336220 | − | 1.03478i | ||||
\(299\) | 1.93962 | − | 1.40922i | 0.112171 | − | 0.0814972i | ||||
\(300\) | −0.806554 | − | 2.48232i | −0.0465664 | − | 0.143317i | ||||
\(301\) | −11.9522 | − | 8.68381i | −0.688916 | − | 0.500526i | ||||
\(302\) | −0.261003 | − | 0.189630i | −0.0150190 | − | 0.0109120i | ||||
\(303\) | −0.669339 | + | 0.486303i | −0.0384525 | + | 0.0279374i | ||||
\(304\) | −17.1022 | −0.980878 | ||||||||
\(305\) | −4.20940 | −0.241030 | ||||||||
\(306\) | 4.91195 | − | 3.56874i | 0.280797 | − | 0.204011i | ||||
\(307\) | 8.27220 | − | 25.4592i | 0.472119 | − | 1.45303i | −0.377684 | − | 0.925935i | \(-0.623279\pi\) |
0.849803 | − | 0.527100i | \(-0.176721\pi\) | |||||||
\(308\) | 2.13001 | + | 6.55551i | 0.121369 | + | 0.373535i | ||||
\(309\) | −6.79928 | −0.386798 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.18114 | 0.237090 | 0.118545 | − | 0.992949i | \(-0.462177\pi\) | ||||
0.118545 | + | 0.992949i | \(0.462177\pi\) | |||||||
\(312\) | 5.16673 | + | 15.9016i | 0.292509 | + | 0.900249i | ||||
\(313\) | 3.50513 | − | 10.7877i | 0.198121 | − | 0.609755i | −0.801804 | − | 0.597586i | \(-0.796126\pi\) |
0.999926 | − | 0.0121688i | \(-0.00387354\pi\) | |||||||
\(314\) | −15.8763 | + | 11.5348i | −0.895953 | + | 0.650948i | ||||
\(315\) | 7.67538 | 0.432459 | ||||||||
\(316\) | −4.69092 | −0.263885 | ||||||||
\(317\) | −20.9384 | + | 15.2127i | −1.17602 | + | 0.854429i | −0.991717 | − | 0.128441i | \(-0.959003\pi\) |
−0.184303 | + | 0.982869i | \(0.559003\pi\) | |||||||
\(318\) | 4.84867 | + | 3.52277i | 0.271900 | + | 0.197547i | ||||
\(319\) | −20.7195 | − | 15.0536i | −1.16007 | − | 0.842839i | ||||
\(320\) | −4.24458 | − | 13.0635i | −0.237279 | − | 0.730270i | ||||
\(321\) | 5.29937 | − | 3.85021i | 0.295782 | − | 0.214898i | ||||
\(322\) | 1.31776 | + | 4.05564i | 0.0734357 | + | 0.226012i | ||||
\(323\) | −7.11268 | + | 21.8906i | −0.395760 | + | 1.21802i | ||||
\(324\) | −4.36989 | − | 3.17491i | −0.242772 | − | 0.176384i | ||||
\(325\) | −2.12612 | + | 6.54354i | −0.117936 | + | 0.362970i | ||||
\(326\) | −0.0507081 | + | 0.156064i | −0.00280846 | + | 0.00864356i | ||||
\(327\) | 11.6773 | + | 8.48408i | 0.645758 | + | 0.469171i | ||||
\(328\) | −0.318587 | + | 0.980511i | −0.0175910 | + | 0.0541396i | ||||
\(329\) | 1.39775 | + | 4.30185i | 0.0770607 | + | 0.237168i | ||||
\(330\) | −12.0257 | + | 8.73716i | −0.661991 | + | 0.480965i | ||||
\(331\) | −0.236641 | − | 0.728307i | −0.0130070 | − | 0.0400314i | 0.944342 | − | 0.328964i | \(-0.106700\pi\) |
−0.957349 | + | 0.288933i | \(0.906700\pi\) | |||||||
\(332\) | 3.27197 | + | 2.37722i | 0.179573 | + | 0.130467i | ||||
\(333\) | −1.91599 | − | 1.39205i | −0.104996 | − | 0.0762839i | ||||
\(334\) | −3.93633 | + | 2.85991i | −0.215387 | + | 0.156488i | ||||
\(335\) | 11.4703 | 0.626692 | ||||||||
\(336\) | −22.1344 | −1.20753 | ||||||||
\(337\) | 1.93706 | − | 1.40736i | 0.105519 | − | 0.0766637i | −0.533775 | − | 0.845627i | \(-0.679227\pi\) |
0.639293 | + | 0.768963i | \(0.279227\pi\) | |||||||
\(338\) | −2.30606 | + | 7.09733i | −0.125433 | + | 0.386044i | ||||
\(339\) | 9.77628 | + | 30.0883i | 0.530974 | + | 1.63417i | ||||
\(340\) | −2.81040 | −0.152415 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 9.80991 | 0.530459 | ||||||||
\(343\) | −0.550776 | − | 1.69511i | −0.0297391 | − | 0.0915276i | ||||
\(344\) | 3.67021 | − | 11.2957i | 0.197884 | − | 0.609026i | ||||
\(345\) | 2.36071 | − | 1.71516i | 0.127096 | − | 0.0923408i | ||||
\(346\) | −17.8134 | −0.957656 | ||||||||
\(347\) | −5.65780 | −0.303727 | −0.151863 | − | 0.988402i | \(-0.548527\pi\) | ||||
−0.151863 | + | 0.988402i | \(0.548527\pi\) | |||||||
\(348\) | −5.50619 | + | 4.00048i | −0.295163 | + | 0.214448i | ||||
\(349\) | −23.5162 | − | 17.0855i | −1.25879 | − | 0.914566i | −0.260095 | − | 0.965583i | \(-0.583754\pi\) |
−0.998698 | + | 0.0510167i | \(0.983754\pi\) | |||||||
\(350\) | −9.90050 | − | 7.19314i | −0.529204 | − | 0.384489i | ||||
\(351\) | 2.86301 | + | 8.81143i | 0.152816 | + | 0.470320i | ||||
\(352\) | −8.09588 | + | 5.88200i | −0.431512 | + | 0.313512i | ||||
\(353\) | 5.95637 | + | 18.3318i | 0.317025 | + | 0.975704i | 0.974913 | + | 0.222587i | \(0.0714503\pi\) |
−0.657887 | + | 0.753116i | \(0.728550\pi\) | |||||||
\(354\) | −6.14584 | + | 18.9149i | −0.326648 | + | 1.00532i | ||||
\(355\) | −6.37494 | − | 4.63167i | −0.338347 | − | 0.245823i | ||||
\(356\) | 0.758579 | − | 2.33467i | 0.0402046 | − | 0.123737i | ||||
\(357\) | −9.20553 | + | 28.3317i | −0.487209 | + | 1.49947i | ||||
\(358\) | −17.6640 | − | 12.8337i | −0.933573 | − | 0.678281i | ||||
\(359\) | 3.19656 | − | 9.83799i | 0.168708 | − | 0.519229i | −0.830583 | − | 0.556895i | \(-0.811992\pi\) |
0.999290 | + | 0.0376663i | \(0.0119924\pi\) | |||||||
\(360\) | 1.90677 | + | 5.86845i | 0.100496 | + | 0.309294i | ||||
\(361\) | −14.7156 | + | 10.6915i | −0.774503 | + | 0.562710i | ||||
\(362\) | 4.59167 | + | 14.1317i | 0.241333 | + | 0.742746i | ||||
\(363\) | 5.28630 | + | 3.84072i | 0.277459 | + | 0.201586i | ||||
\(364\) | −3.90647 | − | 2.83822i | −0.204755 | − | 0.148763i | ||||
\(365\) | −6.74203 | + | 4.89837i | −0.352894 | + | 0.256392i | ||||
\(366\) | −6.96307 | −0.363966 | ||||||||
\(367\) | 0.136564 | 0.00712857 | 0.00356428 | − | 0.999994i | \(-0.498865\pi\) | ||||
0.00356428 | + | 0.999994i | \(0.498865\pi\) | |||||||
\(368\) | −2.06428 | + | 1.49978i | −0.107608 | + | 0.0781817i | ||||
\(369\) | 0.136014 | − | 0.418607i | 0.00708058 | − | 0.0217918i | ||||
\(370\) | −1.06760 | − | 3.28574i | −0.0555020 | − | 0.170818i | ||||
\(371\) | −8.91649 | −0.462921 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.36393 | −0.381290 | −0.190645 | − | 0.981659i | \(-0.561058\pi\) | ||||
−0.190645 | + | 0.981659i | \(0.561058\pi\) | |||||||
\(374\) | −5.40578 | − | 16.6373i | −0.279526 | − | 0.860294i | ||||
\(375\) | −7.54299 | + | 23.2149i | −0.389518 | + | 1.19881i | ||||
\(376\) | −2.94187 | + | 2.13739i | −0.151715 | + | 0.110228i | ||||
\(377\) | 17.9411 | 0.924012 | ||||||||
\(378\) | −16.4791 | −0.847593 | ||||||||
\(379\) | 3.72806 | − | 2.70859i | 0.191498 | − | 0.139131i | −0.487905 | − | 0.872897i | \(-0.662239\pi\) |
0.679403 | + | 0.733765i | \(0.262239\pi\) | |||||||
\(380\) | −3.67362 | − | 2.66904i | −0.188453 | − | 0.136919i | ||||
\(381\) | 33.9538 | + | 24.6689i | 1.73951 | + | 1.26383i | ||||
\(382\) | 1.93104 | + | 5.94314i | 0.0988008 | + | 0.304077i | ||||
\(383\) | −26.1270 | + | 18.9824i | −1.33503 | + | 0.969955i | −0.335418 | + | 0.942070i | \(0.608877\pi\) |
−0.999611 | + | 0.0278856i | \(0.991123\pi\) | |||||||
\(384\) | −3.60959 | − | 11.1092i | −0.184201 | − | 0.566912i | ||||
\(385\) | 6.83381 | − | 21.0323i | 0.348283 | − | 1.07190i | ||||
\(386\) | 19.9786 | + | 14.5153i | 1.01688 | + | 0.738809i | ||||
\(387\) | −1.56691 | + | 4.82246i | −0.0796506 | + | 0.245139i | ||||
\(388\) | −1.62479 | + | 5.00060i | −0.0824864 | + | 0.253867i | ||||
\(389\) | −28.5351 | − | 20.7319i | −1.44678 | − | 1.05115i | −0.986569 | − | 0.163344i | \(-0.947772\pi\) |
−0.460216 | − | 0.887807i | \(-0.652228\pi\) | |||||||
\(390\) | 3.21782 | − | 9.90342i | 0.162940 | − | 0.501479i | ||||
\(391\) | 1.06119 | + | 3.26600i | 0.0536665 | + | 0.165169i | ||||
\(392\) | 18.4767 | − | 13.4241i | 0.933216 | − | 0.678021i | ||||
\(393\) | −8.11203 | − | 24.9663i | −0.409198 | − | 1.25938i | ||||
\(394\) | 21.6399 | + | 15.7223i | 1.09020 | + | 0.792080i | ||||
\(395\) | 12.1758 | + | 8.84621i | 0.612629 | + | 0.445101i | ||||
\(396\) | 1.91394 | − | 1.39056i | 0.0961791 | − | 0.0698782i | ||||
\(397\) | −4.03402 | −0.202462 | −0.101231 | − | 0.994863i | \(-0.532278\pi\) | ||||
−0.101231 | + | 0.994863i | \(0.532278\pi\) | |||||||
\(398\) | −18.6865 | −0.936671 | ||||||||
\(399\) | −38.9398 | + | 28.2914i | −1.94943 | + | 1.41634i | ||||
\(400\) | 2.26277 | − | 6.96408i | 0.113138 | − | 0.348204i | ||||
\(401\) | −7.68933 | − | 23.6653i | −0.383987 | − | 1.18179i | −0.937212 | − | 0.348759i | \(-0.886603\pi\) |
0.553225 | − | 0.833032i | \(-0.313397\pi\) | |||||||
\(402\) | 18.9739 | 0.946334 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0.192087 | 0.00955671 | ||||||||
\(405\) | 5.35520 | + | 16.4816i | 0.266102 | + | 0.818978i | ||||
\(406\) | −9.86107 | + | 30.3492i | −0.489397 | + | 1.50621i | ||||
\(407\) | −5.52044 | + | 4.01084i | −0.273638 | + | 0.198810i | ||||
\(408\) | −23.9488 | −1.18564 | ||||||||
\(409\) | −3.50722 | −0.173421 | −0.0867105 | − | 0.996234i | \(-0.527636\pi\) | ||||
−0.0867105 | + | 0.996234i | \(0.527636\pi\) | |||||||
\(410\) | 0.519456 | − | 0.377407i | 0.0256541 | − | 0.0186388i | ||||
\(411\) | 16.5821 | + | 12.0476i | 0.817936 | + | 0.594265i | ||||
\(412\) | 1.27712 | + | 0.927881i | 0.0629191 | + | 0.0457134i | ||||
\(413\) | −9.14344 | − | 28.1406i | −0.449919 | − | 1.38471i | ||||
\(414\) | 1.18408 | − | 0.860285i | 0.0581944 | − | 0.0422807i | ||||
\(415\) | −4.00972 | − | 12.3407i | −0.196829 | − | 0.605779i | ||||
\(416\) | 2.16629 | − | 6.66714i | 0.106211 | − | 0.326884i | ||||
\(417\) | 26.0180 | + | 18.9032i | 1.27411 | + | 0.925692i | ||||
\(418\) | 8.73429 | − | 26.8814i | 0.427208 | − | 1.31481i | ||||
\(419\) | 1.27325 | − | 3.91865i | 0.0622022 | − | 0.191439i | −0.915126 | − | 0.403167i | \(-0.867909\pi\) |
0.977328 | + | 0.211729i | \(0.0679093\pi\) | |||||||
\(420\) | −4.75456 | − | 3.45439i | −0.231999 | − | 0.168557i | ||||
\(421\) | 8.52930 | − | 26.2505i | 0.415693 | − | 1.27937i | −0.495937 | − | 0.868358i | \(-0.665175\pi\) |
0.911630 | − | 0.411012i | \(-0.134825\pi\) | |||||||
\(422\) | 2.40048 | + | 7.38792i | 0.116854 | + | 0.359638i | ||||
\(423\) | 1.25596 | − | 0.912511i | 0.0610670 | − | 0.0443678i | ||||
\(424\) | −2.21510 | − | 6.81737i | −0.107575 | − | 0.331081i | ||||
\(425\) | −7.97286 | − | 5.79262i | −0.386740 | − | 0.280983i | ||||
\(426\) | −10.5453 | − | 7.66158i | −0.510919 | − | 0.371205i | ||||
\(427\) | 8.38083 | − | 6.08903i | 0.405577 | − | 0.294669i | ||||
\(428\) | −1.52082 | −0.0735114 | ||||||||
\(429\) | −20.5668 | −0.992977 | ||||||||
\(430\) | −5.98427 | + | 4.34783i | −0.288587 | + | 0.209671i | ||||
\(431\) | −4.59630 | + | 14.1460i | −0.221396 | + | 0.681387i | 0.777242 | + | 0.629202i | \(0.216618\pi\) |
−0.998637 | + | 0.0521843i | \(0.983382\pi\) | |||||||
\(432\) | −3.04701 | − | 9.37772i | −0.146599 | − | 0.451186i | ||||
\(433\) | −9.26195 | −0.445101 | −0.222550 | − | 0.974921i | \(-0.571438\pi\) | ||||
−0.222550 | + | 0.974921i | \(0.571438\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 21.8360 | 1.04696 | ||||||||
\(436\) | −1.03557 | − | 3.18715i | −0.0495947 | − | 0.152637i | ||||
\(437\) | −1.71459 | + | 5.27697i | −0.0820200 | + | 0.252432i | ||||
\(438\) | −11.1525 | + | 8.10275i | −0.532886 | + | 0.387164i | ||||
\(439\) | 17.7182 | 0.845643 | 0.422821 | − | 0.906213i | \(-0.361040\pi\) | ||||
0.422821 | + | 0.906213i | \(0.361040\pi\) | |||||||
\(440\) | 17.7786 | 0.847561 | ||||||||
\(441\) | −7.88822 | + | 5.73113i | −0.375630 | + | 0.272911i | ||||
\(442\) | 9.91428 | + | 7.20314i | 0.471574 | + | 0.342619i | ||||
\(443\) | 14.9266 | + | 10.8448i | 0.709182 | + | 0.515251i | 0.882910 | − | 0.469543i | \(-0.155581\pi\) |
−0.173728 | + | 0.984794i | \(0.555581\pi\) | |||||||
\(444\) | 0.560365 | + | 1.72463i | 0.0265937 | + | 0.0818471i | ||||
\(445\) | −6.37171 | + | 4.62932i | −0.302048 | + | 0.219451i | ||||
\(446\) | −2.81349 | − | 8.65904i | −0.133223 | − | 0.410017i | ||||
\(447\) | 9.77401 | − | 30.0813i | 0.462295 | − | 1.42280i | ||||
\(448\) | 27.3476 | + | 19.8692i | 1.29205 | + | 0.938731i | ||||
\(449\) | −7.01784 | + | 21.5987i | −0.331192 | + | 1.01931i | 0.637375 | + | 0.770554i | \(0.280020\pi\) |
−0.968567 | + | 0.248752i | \(0.919980\pi\) | |||||||
\(450\) | −1.29793 | + | 3.99463i | −0.0611852 | + | 0.188309i | ||||
\(451\) | −1.02598 | − | 0.745416i | −0.0483114 | − | 0.0351003i | ||||
\(452\) | 2.26978 | − | 6.98566i | 0.106761 | − | 0.328578i | ||||
\(453\) | −0.167885 | − | 0.516696i | −0.00788791 | − | 0.0242765i | ||||
\(454\) | −19.1791 | + | 13.9345i | −0.900122 | + | 0.653977i | ||||
\(455\) | 4.78729 | + | 14.7338i | 0.224432 | + | 0.690730i | ||||
\(456\) | −31.3047 | − | 22.7442i | −1.46598 | − | 1.06510i | ||||
\(457\) | −13.0752 | − | 9.49970i | −0.611633 | − | 0.444377i | 0.238356 | − | 0.971178i | \(-0.423392\pi\) |
−0.849989 | + | 0.526800i | \(0.823392\pi\) | |||||||
\(458\) | −6.06792 | + | 4.40860i | −0.283535 | + | 0.206000i | ||||
\(459\) | −13.2706 | −0.619418 | ||||||||
\(460\) | −0.677478 | −0.0315876 | ||||||||
\(461\) | 17.4252 | − | 12.6602i | 0.811573 | − | 0.589642i | −0.102713 | − | 0.994711i | \(-0.532752\pi\) |
0.914286 | + | 0.405069i | \(0.132752\pi\) | |||||||
\(462\) | 11.3043 | − | 34.7910i | 0.525923 | − | 1.61863i | ||||
\(463\) | 5.41083 | + | 16.6528i | 0.251462 | + | 0.773922i | 0.994506 | + | 0.104679i | \(0.0333815\pi\) |
−0.743044 | + | 0.669243i | \(0.766619\pi\) | |||||||
\(464\) | −19.0941 | −0.886421 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 21.5976 | 1.00049 | ||||||||
\(467\) | −3.64845 | − | 11.2288i | −0.168830 | − | 0.519605i | 0.830468 | − | 0.557066i | \(-0.188073\pi\) |
−0.999298 | + | 0.0374608i | \(0.988073\pi\) | |||||||
\(468\) | −0.512130 | + | 1.57617i | −0.0236732 | + | 0.0728587i | ||||
\(469\) | −22.8372 | + | 16.5922i | −1.05453 | + | 0.766158i | ||||
\(470\) | 2.26470 | 0.104463 | ||||||||
\(471\) | −33.0472 | −1.52273 | ||||||||
\(472\) | 19.2443 | − | 13.9818i | 0.885790 | − | 0.643564i | ||||
\(473\) | 11.8195 | + | 8.58739i | 0.543463 | + | 0.394849i | ||||
\(474\) | 20.1408 | + | 14.6332i | 0.925098 | + | 0.672123i | ||||
\(475\) | −4.92048 | − | 15.1437i | −0.225767 | − | 0.694840i | ||||
\(476\) | 5.59544 | − | 4.06533i | 0.256467 | − | 0.186334i | ||||
\(477\) | 0.945686 | + | 2.91052i | 0.0433000 | + | 0.133264i | ||||
\(478\) | 10.6278 | − | 32.7092i | 0.486107 | − | 1.49608i | ||||
\(479\) | 12.7895 | + | 9.29213i | 0.584368 | + | 0.424568i | 0.840296 | − | 0.542127i | \(-0.182381\pi\) |
−0.255928 | + | 0.966696i | \(0.582381\pi\) | |||||||
\(480\) | 2.63658 | − | 8.11456i | 0.120343 | − | 0.370377i | ||||
\(481\) | 1.47715 | − | 4.54621i | 0.0673525 | − | 0.207290i | ||||
\(482\) | 22.6780 | + | 16.4766i | 1.03296 | + | 0.750487i | ||||
\(483\) | −2.21910 | + | 6.82968i | −0.100972 | + | 0.310761i | ||||
\(484\) | −0.468800 | − | 1.44282i | −0.0213091 | − | 0.0655826i | ||||
\(485\) | 13.6475 | − | 9.91551i | 0.619702 | − | 0.450240i | ||||
\(486\) | 4.84214 | + | 14.9026i | 0.219644 | + | 0.675995i | ||||
\(487\) | 10.3487 | + | 7.51874i | 0.468942 | + | 0.340707i | 0.797029 | − | 0.603941i | \(-0.206404\pi\) |
−0.328087 | + | 0.944648i | \(0.606404\pi\) | |||||||
\(488\) | 6.73758 | + | 4.89514i | 0.304996 | + | 0.221593i | ||||
\(489\) | −0.223560 | + | 0.162426i | −0.0101097 | + | 0.00734515i | ||||
\(490\) | −14.2237 | −0.642561 | ||||||||
\(491\) | 18.5282 | 0.836166 | 0.418083 | − | 0.908409i | \(-0.362702\pi\) | ||||
0.418083 | + | 0.908409i | \(0.362702\pi\) | |||||||
\(492\) | −0.272653 | + | 0.198094i | −0.0122921 | + | 0.00893076i | ||||
\(493\) | −7.94110 | + | 24.4402i | −0.357649 | + | 1.10073i | ||||
\(494\) | 6.11864 | + | 18.8312i | 0.275290 | + | 0.847257i | ||||
\(495\) | −7.59016 | −0.341152 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 19.3922 | 0.869861 | ||||||||
\(498\) | −6.63277 | − | 20.4136i | −0.297221 | − | 0.914754i | ||||
\(499\) | −12.6349 | + | 38.8861i | −0.565614 | + | 1.74078i | 0.100507 | + | 0.994936i | \(0.467954\pi\) |
−0.666121 | + | 0.745844i | \(0.732046\pi\) | |||||||
\(500\) | 4.58489 | − | 3.33112i | 0.205042 | − | 0.148972i | ||||
\(501\) | −8.19362 | −0.366064 | ||||||||
\(502\) | 20.0037 | 0.892809 | ||||||||
\(503\) | −16.2427 | + | 11.8010i | −0.724227 | + | 0.526182i | −0.887732 | − | 0.460361i | \(-0.847720\pi\) |
0.163505 | + | 0.986543i | \(0.447720\pi\) | |||||||
\(504\) | −12.2852 | − | 8.92575i | −0.547228 | − | 0.397585i | ||||
\(505\) | −0.498582 | − | 0.362241i | −0.0221866 | − | 0.0161195i | ||||
\(506\) | −1.30312 | − | 4.01061i | −0.0579310 | − | 0.178293i | ||||
\(507\) | −10.1669 | + | 7.38668i | −0.451527 | + | 0.328054i | ||||
\(508\) | −3.01109 | − | 9.26718i | −0.133595 | − | 0.411164i | ||||
\(509\) | 9.86111 | − | 30.3494i | 0.437086 | − | 1.34521i | −0.453848 | − | 0.891079i | \(-0.649949\pi\) |
0.890934 | − | 0.454133i | \(-0.150051\pi\) | |||||||
\(510\) | 12.0666 | + | 8.76693i | 0.534320 | + | 0.388206i | ||||
\(511\) | 6.33760 | − | 19.5051i | 0.280359 | − | 0.862855i | ||||
\(512\) | −7.60561 | + | 23.4076i | −0.336123 | + | 1.03448i | ||||
\(513\) | −17.3467 | − | 12.6031i | −0.765875 | − | 0.556441i | ||||
\(514\) | 8.89160 | − | 27.3655i | 0.392192 | − | 1.20704i | ||||
\(515\) | −1.56508 | − | 4.81682i | −0.0689656 | − | 0.212254i | ||||
\(516\) | 3.14103 | − | 2.28209i | 0.138276 | − | 0.100464i | ||||
\(517\) | −1.38223 | − | 4.25408i | −0.0607906 | − | 0.187094i | ||||
\(518\) | 6.87851 | + | 4.99753i | 0.302224 | + | 0.219579i | ||||
\(519\) | −24.2687 | − | 17.6323i | −1.06528 | − | 0.773970i | ||||
\(520\) | −10.0759 | + | 7.32054i | −0.441855 | + | 0.321027i | ||||
\(521\) | 2.10756 | 0.0923339 | 0.0461670 | − | 0.998934i | \(-0.485299\pi\) | ||||
0.0461670 | + | 0.998934i | \(0.485299\pi\) | |||||||
\(522\) | 10.9525 | 0.479377 | ||||||||
\(523\) | 3.97047 | − | 2.88471i | 0.173616 | − | 0.126140i | −0.497584 | − | 0.867416i | \(-0.665779\pi\) |
0.671200 | + | 0.741276i | \(0.265779\pi\) | |||||||
\(524\) | −1.88339 | + | 5.79648i | −0.0822762 | + | 0.253220i | ||||
\(525\) | −6.36830 | − | 19.5996i | −0.277935 | − | 0.855397i | ||||
\(526\) | 12.8076 | 0.558440 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 21.8886 | 0.952580 | ||||||||
\(529\) | −6.85158 | − | 21.0870i | −0.297895 | − | 0.916826i | ||||
\(530\) | −1.37955 | + | 4.24583i | −0.0599239 | + | 0.184427i | ||||
\(531\) | −8.21591 | + | 5.96921i | −0.356540 | + | 0.259042i | ||||
\(532\) | 11.1750 | 0.484496 | ||||||||
\(533\) | 0.888398 | 0.0384808 | ||||||||
\(534\) | −10.5399 | + | 7.65770i | −0.456107 | + | 0.331381i | ||||
\(535\) | 3.94743 | + | 2.86798i | 0.170662 | + | 0.123993i | ||||
\(536\) | −18.3595 | − | 13.3389i | −0.793009 | − | 0.576155i | ||||
\(537\) | −11.3620 | − | 34.9687i | −0.490308 | − | 1.50901i | ||||
\(538\) | −4.40412 | + | 3.19978i | −0.189875 | + | 0.137952i | ||||
\(539\) | 8.68129 | + | 26.7182i | 0.373929 | + | 1.15084i | ||||
\(540\) | 0.809018 | − | 2.48990i | 0.0348146 | − | 0.107148i | ||||
\(541\) | 10.0618 | + | 7.31030i | 0.432589 | + | 0.314294i | 0.782683 | − | 0.622420i | \(-0.213850\pi\) |
−0.350094 | + | 0.936714i | \(0.613850\pi\) | |||||||
\(542\) | −2.34278 | + | 7.21033i | −0.100631 | + | 0.309710i | ||||
\(543\) | −7.73236 | + | 23.7978i | −0.331827 | + | 1.02126i | ||||
\(544\) | 8.12346 | + | 5.90204i | 0.348290 | + | 0.253048i | ||||
\(545\) | −3.32245 | + | 10.2255i | −0.142318 | + | 0.438011i | ||||
\(546\) | 7.91900 | + | 24.3722i | 0.338902 | + | 1.04303i | ||||
\(547\) | 11.2979 | − | 8.20843i | 0.483065 | − | 0.350967i | −0.319446 | − | 0.947604i | \(-0.603497\pi\) |
0.802511 | + | 0.596637i | \(0.203497\pi\) | |||||||
\(548\) | −1.47053 | − | 4.52584i | −0.0628181 | − | 0.193334i | ||||
\(549\) | −2.87646 | − | 2.08987i | −0.122764 | − | 0.0891934i | ||||
\(550\) | 9.79058 | + | 7.11327i | 0.417472 | + | 0.303311i | ||||
\(551\) | −33.5911 | + | 24.4054i | −1.43103 | + | 1.03970i | ||||
\(552\) | −5.77312 | −0.245721 | ||||||||
\(553\) | −37.0381 | −1.57502 | ||||||||
\(554\) | 21.9779 | − | 15.9679i | 0.933752 | − | 0.678411i | ||||
\(555\) | 1.79784 | − | 5.53318i | 0.0763141 | − | 0.234871i | ||||
\(556\) | −2.30732 | − | 7.10121i | −0.0978523 | − | 0.301159i | ||||
\(557\) | 37.2207 | 1.57709 | 0.788546 | − | 0.614976i | \(-0.210834\pi\) | ||||
0.788546 | + | 0.614976i | \(0.210834\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.2346 | −0.432876 | ||||||||
\(560\) | −5.09496 | − | 15.6807i | −0.215301 | − | 0.662629i | ||||
\(561\) | 9.10332 | − | 28.0172i | 0.384343 | − | 1.18289i | ||||
\(562\) | 30.6766 | − | 22.2878i | 1.29401 | − | 0.940156i | ||||
\(563\) | −30.0267 | −1.26548 | −0.632738 | − | 0.774366i | \(-0.718069\pi\) | ||||
−0.632738 | + | 0.774366i | \(0.718069\pi\) | |||||||
\(564\) | −1.18870 | −0.0500532 | ||||||||
\(565\) | −19.0651 | + | 13.8516i | −0.802075 | + | 0.582742i | ||||
\(566\) | 21.2780 | + | 15.4594i | 0.894380 | + | 0.649805i | ||||
\(567\) | −34.5033 | − | 25.0681i | −1.44900 | − | 1.05276i | ||||
\(568\) | 4.81756 | + | 14.8269i | 0.202140 | + | 0.622124i | ||||
\(569\) | −32.6611 | + | 23.7297i | −1.36922 | + | 0.994799i | −0.371426 | + | 0.928462i | \(0.621131\pi\) |
−0.997797 | + | 0.0663367i | \(0.978869\pi\) | |||||||
\(570\) | 7.44698 | + | 22.9194i | 0.311919 | + | 0.959989i | ||||
\(571\) | −13.1646 | + | 40.5165i | −0.550921 | + | 1.69556i | 0.155557 | + | 0.987827i | \(0.450283\pi\) |
−0.706478 | + | 0.707735i | \(0.749717\pi\) | |||||||
\(572\) | 3.86310 | + | 2.80670i | 0.161524 | + | 0.117354i | ||||
\(573\) | −3.25187 | + | 10.0082i | −0.135849 | + | 0.418100i | ||||
\(574\) | −0.488296 | + | 1.50282i | −0.0203811 | + | 0.0627265i | ||||
\(575\) | −1.92195 | − | 1.39638i | −0.0801507 | − | 0.0582329i | ||||
\(576\) | 3.58521 | − | 11.0341i | 0.149384 | − | 0.459756i | ||||
\(577\) | −2.02028 | − | 6.21779i | −0.0841054 | − | 0.258850i | 0.900156 | − | 0.435567i | \(-0.143452\pi\) |
−0.984262 | + | 0.176717i | \(0.943452\pi\) | |||||||
\(578\) | 2.74568 | − | 1.99485i | 0.114205 | − | 0.0829750i | ||||
\(579\) | 12.8508 | + | 39.5507i | 0.534062 | + | 1.64367i | ||||
\(580\) | −4.10149 | − | 2.97991i | −0.170305 | − | 0.123734i | ||||
\(581\) | 25.8344 | + | 18.7698i | 1.07179 | + | 0.778703i | ||||
\(582\) | 22.5754 | − | 16.4020i | 0.935779 | − | 0.679883i | ||||
\(583\) | 8.81749 | 0.365183 | ||||||||
\(584\) | 16.4877 | 0.682264 | ||||||||
\(585\) | 4.30166 | − | 3.12534i | 0.177852 | − | 0.129217i | ||||
\(586\) | −0.685001 | + | 2.10822i | −0.0282971 | + | 0.0870897i | ||||
\(587\) | 6.60607 | + | 20.3314i | 0.272662 | + | 0.839167i | 0.989829 | + | 0.142265i | \(0.0454386\pi\) |
−0.717167 | + | 0.696902i | \(0.754561\pi\) | |||||||
\(588\) | 7.46576 | 0.307883 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −14.8146 | −0.609907 | ||||||||
\(591\) | 13.9195 | + | 42.8397i | 0.572570 | + | 1.76219i | ||||
\(592\) | −1.57209 | + | 4.83839i | −0.0646124 | + | 0.198857i | ||||
\(593\) | −21.0268 | + | 15.2769i | −0.863468 | + | 0.627347i | −0.928826 | − | 0.370515i | \(-0.879181\pi\) |
0.0653579 | + | 0.997862i | \(0.479181\pi\) | |||||||
\(594\) | 16.2961 | 0.668638 | ||||||||
\(595\) | −22.1900 | −0.909701 | ||||||||
\(596\) | −5.94098 | + | 4.31638i | −0.243352 | + | 0.176806i | ||||
\(597\) | −25.4582 | − | 18.4965i | −1.04193 | − | 0.757010i | ||||
\(598\) | 2.38995 | + | 1.73640i | 0.0977323 | + | 0.0710066i | ||||
\(599\) | −2.83923 | − | 8.73827i | −0.116008 | − | 0.357036i | 0.876148 | − | 0.482042i | \(-0.160105\pi\) |
−0.992156 | + | 0.125006i | \(0.960105\pi\) | |||||||
\(600\) | 13.4034 | − | 9.73815i | 0.547192 | − | 0.397558i | ||||
\(601\) | −10.2961 | − | 31.6883i | −0.419989 | − | 1.29259i | −0.907712 | − | 0.419594i | \(-0.862172\pi\) |
0.487723 | − | 0.872998i | \(-0.337828\pi\) | |||||||
\(602\) | 5.62530 | − | 17.3129i | 0.229270 | − | 0.705620i | ||||
\(603\) | 7.83816 | + | 5.69476i | 0.319195 | + | 0.231908i | ||||
\(604\) | −0.0389782 | + | 0.119962i | −0.00158600 | + | 0.00488120i | ||||
\(605\) | −1.50407 | + | 4.62905i | −0.0611491 | + | 0.188197i | ||||
\(606\) | −0.824741 | − | 0.599210i | −0.0335028 | − | 0.0243412i | ||||
\(607\) | −15.0494 | + | 46.3172i | −0.610835 | + | 1.87996i | −0.160678 | + | 0.987007i | \(0.551368\pi\) |
−0.450157 | + | 0.892949i | \(0.648632\pi\) | |||||||
\(608\) | 5.01342 | + | 15.4297i | 0.203321 | + | 0.625758i | ||||
\(609\) | −43.4751 | + | 31.5865i | −1.76170 | + | 1.27995i | ||||
\(610\) | −1.60278 | − | 4.93285i | −0.0648947 | − | 0.199725i | ||||
\(611\) | 2.53504 | + | 1.84181i | 0.102557 | + | 0.0745118i | ||||
\(612\) | −1.92046 | − | 1.39530i | −0.0776300 | − | 0.0564015i | ||||
\(613\) | 16.9198 | − | 12.2929i | 0.683384 | − | 0.496507i | −0.191095 | − | 0.981572i | \(-0.561204\pi\) |
0.874479 | + | 0.485064i | \(0.161204\pi\) | |||||||
\(614\) | 32.9845 | 1.33115 | ||||||||
\(615\) | 1.08127 | 0.0436009 | ||||||||
\(616\) | −35.3968 | + | 25.7173i | −1.42618 | + | 1.03618i | ||||
\(617\) | 14.0244 | − | 43.1627i | 0.564602 | − | 1.73767i | −0.104530 | − | 0.994522i | \(-0.533334\pi\) |
0.669132 | − | 0.743144i | \(-0.266666\pi\) | |||||||
\(618\) | −2.58891 | − | 7.96784i | −0.104141 | − | 0.320514i | ||||
\(619\) | 10.2462 | 0.411832 | 0.205916 | − | 0.978570i | \(-0.433983\pi\) | ||||
0.205916 | + | 0.978570i | \(0.433983\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.19902 | −0.128372 | ||||||||
\(622\) | 1.59202 | + | 4.89973i | 0.0638341 | + | 0.196461i | ||||
\(623\) | 5.98950 | − | 18.4338i | 0.239964 | − | 0.738534i | ||||
\(624\) | −12.4052 | + | 9.01290i | −0.496605 | + | 0.360805i | ||||
\(625\) | −5.12716 | −0.205086 | ||||||||
\(626\) | 13.9763 | 0.558606 | ||||||||
\(627\) | 38.5074 | − | 27.9773i | 1.53784 | − | 1.11730i | ||||
\(628\) | 6.20729 | + | 4.50986i | 0.247698 | + | 0.179963i | ||||
\(629\) | 5.53925 | + | 4.02450i | 0.220864 | + | 0.160467i | ||||
\(630\) | 2.92249 | + | 8.99451i | 0.116435 | + | 0.358350i | ||||
\(631\) | −8.63785 | + | 6.27576i | −0.343867 | + | 0.249834i | −0.746292 | − | 0.665619i | \(-0.768168\pi\) |
0.402424 | + | 0.915453i | \(0.368168\pi\) | |||||||
\(632\) | −9.20126 | − | 28.3186i | −0.366006 | − | 1.12645i | ||||
\(633\) | −4.04240 | + | 12.4412i | −0.160671 | + | 0.494495i | ||||
\(634\) | −25.7998 | − | 18.7446i | −1.02464 | − | 0.744444i | ||||
\(635\) | −9.66059 | + | 29.7322i | −0.383369 | + | 1.17989i | ||||
\(636\) | 0.724101 | − | 2.22855i | 0.0287125 | − | 0.0883679i | ||||
\(637\) | −15.9216 | − | 11.5677i | −0.630836 | − | 0.458330i | ||||
\(638\) | 9.75158 | − | 30.0123i | 0.386069 | − | 1.18820i | ||||
\(639\) | −2.05675 | − | 6.33002i | −0.0813637 | − | 0.250412i | ||||
\(640\) | 7.03920 | − | 5.11428i | 0.278249 | − | 0.202160i | ||||
\(641\) | −7.37379 | − | 22.6942i | −0.291247 | − | 0.896367i | −0.984456 | − | 0.175630i | \(-0.943804\pi\) |
0.693209 | − | 0.720737i | \(-0.256196\pi\) | |||||||
\(642\) | 6.52973 | + | 4.74413i | 0.257708 | + | 0.187236i | ||||
\(643\) | −6.42300 | − | 4.66658i | −0.253298 | − | 0.184032i | 0.453889 | − | 0.891058i | \(-0.350036\pi\) |
−0.707187 | + | 0.707026i | \(0.750036\pi\) | |||||||
\(644\) | 1.34885 | − | 0.979993i | 0.0531519 | − | 0.0386171i | ||||
\(645\) | −12.4565 | −0.490473 | ||||||||
\(646\) | −28.3610 | −1.11585 | ||||||||
\(647\) | 2.00443 | − | 1.45630i | 0.0788023 | − | 0.0572532i | −0.547687 | − | 0.836684i | \(-0.684491\pi\) |
0.626489 | + | 0.779430i | \(0.284491\pi\) | |||||||
\(648\) | 10.5950 | − | 32.6081i | 0.416212 | − | 1.28097i | ||||
\(649\) | 9.04192 | + | 27.8282i | 0.354926 | + | 1.09235i | ||||
\(650\) | −8.47769 | −0.332523 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.0641574 | 0.00251260 | ||||||||
\(653\) | 6.95104 | + | 21.3931i | 0.272015 | + | 0.837177i | 0.989994 | + | 0.141112i | \(0.0450677\pi\) |
−0.717978 | + | 0.696065i | \(0.754932\pi\) | |||||||
\(654\) | −5.49591 | + | 16.9147i | −0.214907 | + | 0.661416i | ||||
\(655\) | 15.8196 | − | 11.4936i | 0.618123 | − | 0.449093i | ||||
\(656\) | −0.945493 | −0.0369153 | ||||||||
\(657\) | −7.03903 | −0.274619 | ||||||||
\(658\) | −4.50897 | + | 3.27596i | −0.175778 | + | 0.127710i | ||||
\(659\) | 9.67555 | + | 7.02970i | 0.376906 | + | 0.273838i | 0.760069 | − | 0.649843i | \(-0.225165\pi\) |
−0.383163 | + | 0.923681i | \(0.625165\pi\) | |||||||
\(660\) | 4.70177 | + | 3.41603i | 0.183016 | + | 0.132969i | ||||
\(661\) | 7.36572 | + | 22.6694i | 0.286493 | + | 0.881736i | 0.985947 | + | 0.167058i | \(0.0534267\pi\) |
−0.699454 | + | 0.714678i | \(0.746573\pi\) | |||||||
\(662\) | 0.763374 | − | 0.554624i | 0.0296694 | − | 0.0215561i | ||||
\(663\) | 6.37716 | + | 19.6269i | 0.247668 | + | 0.762245i | ||||
\(664\) | −7.93305 | + | 24.4154i | −0.307862 | + | 0.947502i | ||||
\(665\) | −29.0057 | − | 21.0739i | −1.12479 | − | 0.817211i | ||||
\(666\) | 0.901758 | − | 2.77533i | 0.0349424 | − | 0.107542i | ||||
\(667\) | −1.91429 | + | 5.89158i | −0.0741216 | + | 0.228123i | ||||
\(668\) | 1.53902 | + | 1.11816i | 0.0595464 | + | 0.0432630i | ||||
\(669\) | 4.73791 | − | 14.5818i | 0.183178 | − | 0.563765i | ||||
\(670\) | 4.36747 | + | 13.4417i | 0.168730 | + | 0.519298i | ||||
\(671\) | −8.28778 | + | 6.02142i | −0.319946 | + | 0.232455i | ||||
\(672\) | 6.48859 | + | 19.9698i | 0.250303 | + | 0.770353i | ||||
\(673\) | 2.82680 | + | 2.05379i | 0.108965 | + | 0.0791679i | 0.640933 | − | 0.767596i | \(-0.278547\pi\) |
−0.531968 | + | 0.846764i | \(0.678547\pi\) | |||||||
\(674\) | 2.38679 | + | 1.73411i | 0.0919359 | + | 0.0667953i | ||||
\(675\) | 7.42715 | − | 5.39614i | 0.285871 | − | 0.207698i | ||||
\(676\) | 2.91770 | 0.112219 | ||||||||
\(677\) | 19.2457 | 0.739674 | 0.369837 | − | 0.929097i | \(-0.379414\pi\) | ||||
0.369837 | + | 0.929097i | \(0.379414\pi\) | |||||||
\(678\) | −31.5370 | + | 22.9130i | −1.21117 | + | 0.879967i | ||||
\(679\) | −12.8289 | + | 39.4832i | −0.492326 | + | 1.51523i | ||||
\(680\) | −5.51260 | − | 16.9660i | −0.211399 | − | 0.650618i | ||||
\(681\) | −39.9221 | −1.52982 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −39.8738 | −1.52573 | −0.762865 | − | 0.646558i | \(-0.776208\pi\) | ||||
−0.762865 | + | 0.646558i | \(0.776208\pi\) | |||||||
\(684\) | −1.18522 | − | 3.64773i | −0.0453180 | − | 0.139475i | ||||
\(685\) | −4.71797 | + | 14.5204i | −0.180264 | + | 0.554797i | ||||
\(686\) | 1.77673 | − | 1.29087i | 0.0678359 | − | 0.0492857i | ||||
\(687\) | −12.6306 | −0.481887 | ||||||||
\(688\) | 10.8923 | 0.415266 | ||||||||
\(689\) | −4.99723 | + | 3.63070i | −0.190379 | + | 0.138319i | ||||
\(690\) | 2.90880 | + | 2.11337i | 0.110736 | + | 0.0804545i | ||||
\(691\) | −31.0747 | − | 22.5771i | −1.18214 | − | 0.858873i | −0.189726 | − | 0.981837i | \(-0.560760\pi\) |
−0.992411 | + | 0.122964i | \(0.960760\pi\) | |||||||
\(692\) | 2.15220 | + | 6.62378i | 0.0818142 | + | 0.251798i | ||||
\(693\) | 15.1119 | − | 10.9794i | 0.574052 | − | 0.417073i | ||||
\(694\) | −2.15428 | − | 6.63018i | −0.0817752 | − | 0.251678i | ||||
\(695\) | −7.40268 | + | 22.7831i | −0.280800 | + | 0.864212i | ||||
\(696\) | −34.9508 | − | 25.3933i | −1.32481 | − | 0.962529i | ||||
\(697\) | −0.393224 | + | 1.21022i | −0.0148944 | + | 0.0458403i | ||||
\(698\) | 11.0678 | − | 34.0633i | 0.418924 | − | 1.28932i | ||||
\(699\) | 29.4242 | + | 21.3779i | 1.11292 | + | 0.808586i | ||||
\(700\) | −1.47854 | + | 4.55048i | −0.0558836 | + | 0.171992i | ||||
\(701\) | −10.9471 | − | 33.6916i | −0.413465 | − | 1.27251i | −0.913617 | − | 0.406577i | \(-0.866722\pi\) |
0.500151 | − | 0.865938i | \(-0.333278\pi\) | |||||||
\(702\) | −9.23569 | + | 6.71012i | −0.348579 | + | 0.253257i | ||||
\(703\) | 3.41857 | + | 10.5213i | 0.128934 | + | 0.396818i | ||||
\(704\) | −27.0439 | − | 19.6486i | −1.01926 | − | 0.740533i | ||||
\(705\) | 3.08539 | + | 2.24166i | 0.116202 | + | 0.0844260i | ||||
\(706\) | −19.2145 | + | 13.9601i | −0.723145 | + | 0.525396i | ||||
\(707\) | 1.51666 | 0.0570399 | ||||||||
\(708\) | 7.77589 | 0.292236 | ||||||||
\(709\) | −20.8801 | + | 15.1703i | −0.784170 | + | 0.569733i | −0.906228 | − | 0.422790i | \(-0.861051\pi\) |
0.122057 | + | 0.992523i | \(0.461051\pi\) | |||||||
\(710\) | 3.00035 | − | 9.23414i | 0.112601 | − | 0.346551i | ||||
\(711\) | 3.92827 | + | 12.0900i | 0.147322 | + | 0.453409i | ||||
\(712\) | 15.5821 | 0.583962 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −36.7061 | −1.37369 | ||||||||
\(715\) | −4.73414 | − | 14.5702i | −0.177047 | − | 0.544894i | ||||
\(716\) | −2.63795 | + | 8.11877i | −0.0985848 | + | 0.303413i | ||||
\(717\) | 46.8557 | − | 34.0426i | 1.74986 | − | 1.27135i | ||||
\(718\) | 12.7459 | 0.475674 | ||||||||
\(719\) | 39.0467 | 1.45620 | 0.728099 | − | 0.685472i | \(-0.240404\pi\) | ||||
0.728099 | + | 0.685472i | \(0.240404\pi\) | |||||||
\(720\) | −4.57811 | + | 3.32619i | −0.170616 | + | 0.123960i | ||||
\(721\) | 10.0837 | + | 7.32625i | 0.375537 | + | 0.272844i | ||||
\(722\) | −18.1321 | − | 13.1738i | −0.674807 | − | 0.490276i | ||||
\(723\) | 14.5872 | + | 44.8947i | 0.542503 | + | 1.66965i | ||||
\(724\) | 4.70000 | − | 3.41475i | 0.174674 | − | 0.126908i | ||||
\(725\) | −5.49357 | − | 16.9075i | −0.204026 | − | 0.627928i | ||||
\(726\) | −2.48799 | + | 7.65724i | −0.0923379 | + | 0.284187i | ||||
\(727\) | −20.2122 | − | 14.6850i | −0.749629 | − | 0.544637i | 0.146083 | − | 0.989272i | \(-0.453333\pi\) |
−0.895712 | + | 0.444635i | \(0.853333\pi\) | |||||||
\(728\) | 9.47144 | − | 29.1501i | 0.351035 | − | 1.08037i | ||||
\(729\) | 2.24010 | − | 6.89433i | 0.0829668 | − | 0.255345i | ||||
\(730\) | −8.30734 | − | 6.03563i | −0.307468 | − | 0.223389i | ||||
\(731\) | 4.53004 | − | 13.9420i | 0.167550 | − | 0.515665i | ||||
\(732\) | 0.841269 | + | 2.58916i | 0.0310942 | + | 0.0956981i | ||||
\(733\) | 13.7121 | − | 9.96240i | 0.506467 | − | 0.367970i | −0.305015 | − | 0.952348i | \(-0.598661\pi\) |
0.811482 | + | 0.584378i | \(0.198661\pi\) | |||||||
\(734\) | 0.0519983 | + | 0.160034i | 0.00191929 | + | 0.00590697i | ||||
\(735\) | −19.3781 | − | 14.0790i | −0.714773 | − | 0.519313i | ||||
\(736\) | 1.95825 | + | 1.42275i | 0.0721821 | + | 0.0524434i | ||||
\(737\) | 22.5837 | − | 16.4080i | 0.831880 | − | 0.604396i | ||||
\(738\) | 0.542340 | 0.0199638 | ||||||||
\(739\) | −14.3821 | −0.529055 | −0.264528 | − | 0.964378i | \(-0.585216\pi\) | ||||
−0.264528 | + | 0.964378i | \(0.585216\pi\) | |||||||
\(740\) | −1.09279 | + | 0.793959i | −0.0401718 | + | 0.0291865i | ||||
\(741\) | −10.3038 | + | 31.7117i | −0.378518 | + | 1.16496i | ||||
\(742\) | −3.39506 | − | 10.4489i | −0.124637 | − | 0.383592i | ||||
\(743\) | 27.7705 | 1.01880 | 0.509400 | − | 0.860530i | \(-0.329867\pi\) | ||||
0.509400 | + | 0.860530i | \(0.329867\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 23.5603 | 0.863183 | ||||||||
\(746\) | −2.80390 | − | 8.62953i | −0.102658 | − | 0.315950i | ||||
\(747\) | 3.38684 | − | 10.4236i | 0.123918 | − | 0.381380i | ||||
\(748\) | −5.53332 | + | 4.02019i | −0.202318 | + | 0.146993i | ||||
\(749\) | −12.0079 | −0.438758 | ||||||||
\(750\) | −30.0768 | −1.09825 | ||||||||
\(751\) | 35.2490 | − | 25.6099i | 1.28626 | − | 0.934519i | 0.286533 | − | 0.958070i | \(-0.407497\pi\) |
0.999723 | + | 0.0235512i | \(0.00749727\pi\) | |||||||
\(752\) | −2.69796 | − | 1.96018i | −0.0983844 | − | 0.0714804i | ||||
\(753\) | 27.2527 | + | 19.8002i | 0.993143 | + | 0.721561i | ||||
\(754\) | 6.83128 | + | 21.0245i | 0.248781 | + | 0.765668i | ||||
\(755\) | 0.327399 | − | 0.237869i | 0.0119153 | − | 0.00865695i | ||||
\(756\) | 1.99098 | + | 6.12762i | 0.0724114 | + | 0.222859i | ||||
\(757\) | −7.79251 | + | 23.9829i | −0.283224 | + | 0.871673i | 0.703702 | + | 0.710495i | \(0.251529\pi\) |
−0.986925 | + | 0.161177i | \(0.948471\pi\) | |||||||
\(758\) | 4.59361 | + | 3.33745i | 0.166847 | + | 0.121222i | ||||
\(759\) | 2.19446 | − | 6.75385i | 0.0796538 | − | 0.245149i | ||||
\(760\) | 8.90688 | − | 27.4125i | 0.323086 | − | 0.994358i | ||||
\(761\) | −2.11633 | − | 1.53761i | −0.0767170 | − | 0.0557382i | 0.548766 | − | 0.835976i | \(-0.315098\pi\) |
−0.625483 | + | 0.780238i | \(0.715098\pi\) | |||||||
\(762\) | −15.9803 | + | 49.1823i | −0.578905 | + | 1.78169i | ||||
\(763\) | −8.17652 | − | 25.1647i | −0.296010 | − | 0.911025i | ||||
\(764\) | 1.97660 | − | 1.43608i | 0.0715109 | − | 0.0519557i | ||||
\(765\) | 2.35348 | + | 7.24326i | 0.0850902 | + | 0.261881i | ||||
\(766\) | −32.1930 | − | 23.3896i | −1.16318 | − | 0.845100i | ||||
\(767\) | −16.5830 | − | 12.0483i | −0.598777 | − | 0.435037i | ||||
\(768\) | −18.1925 | + | 13.2176i | −0.656466 | + | 0.476950i | ||||
\(769\) | 11.3507 | 0.409316 | 0.204658 | − | 0.978834i | \(-0.434392\pi\) | ||||
0.204658 | + | 0.978834i | \(0.434392\pi\) | |||||||
\(770\) | 27.2491 | 0.981988 | ||||||||
\(771\) | 39.2009 | − | 28.4811i | 1.41179 | − | 1.02572i | ||||
\(772\) | 2.98360 | − | 9.18259i | 0.107382 | − | 0.330488i | ||||
\(773\) | 3.52816 | + | 10.8586i | 0.126899 | + | 0.390556i | 0.994242 | − | 0.107155i | \(-0.0341741\pi\) |
−0.867343 | + | 0.497711i | \(0.834174\pi\) | |||||||
\(774\) | −6.24789 | −0.224576 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −33.3751 | −1.19810 | ||||||||
\(777\) | 4.42446 | + | 13.6171i | 0.158727 | + | 0.488511i | ||||
\(778\) | 13.4300 | − | 41.3332i | 0.481488 | − | 1.48187i | ||||
\(779\) | −1.66335 | + | 1.20849i | −0.0595957 | + | 0.0432988i | ||||
\(780\) | −4.07128 | −0.145775 | ||||||||
\(781\) | −19.1769 | −0.686204 | ||||||||
\(782\) | −3.42325 | + | 2.48714i | −0.122415 | + | 0.0889398i | ||||
\(783\) | −19.3671 | − | 14.0710i | −0.692123 | − | 0.502857i | ||||
\(784\) | 16.9448 | + | 12.3111i | 0.605173 | + | 0.439684i | ||||
\(785\) | −7.60689 | − | 23.4116i | −0.271502 | − | 0.835596i | ||||
\(786\) | 26.1684 | − | 19.0124i | 0.933394 | − | 0.678151i | ||||
\(787\) | 8.37103 | + | 25.7634i | 0.298395 | + | 0.918365i | 0.982060 | + | 0.188569i | \(0.0603849\pi\) |
−0.683665 | + | 0.729796i | \(0.739615\pi\) | |||||||
\(788\) | 3.23171 | − | 9.94618i | 0.115125 | − | 0.354318i | ||||
\(789\) | 17.4489 | + | 12.6774i | 0.621197 | + | 0.451326i | ||||
\(790\) | −5.73050 | + | 17.6367i | −0.203882 | + | 0.627484i | ||||
\(791\) | 17.9215 | − | 55.1566i | 0.637214 | − | 1.96114i | ||||
\(792\) | 12.1488 | + | 8.82665i | 0.431690 | + | 0.313641i | ||||
\(793\) | 2.21764 | − | 6.82518i | 0.0787505 | − | 0.242369i | ||||
\(794\) | −1.53600 | − | 4.72733i | −0.0545106 | − | 0.167767i | ||||
\(795\) | −6.08212 | + | 4.41892i | −0.215710 | + | 0.156723i | ||||
\(796\) | 2.25768 | + | 6.94843i | 0.0800214 | + | 0.246280i | ||||
\(797\) | 39.3634 | + | 28.5992i | 1.39432 | + | 1.01303i | 0.995375 | + | 0.0960610i | \(0.0306244\pi\) |
0.398947 | + | 0.916974i | \(0.369376\pi\) | |||||||
\(798\) | −47.9805 | − | 34.8599i | −1.69849 | − | 1.23403i | ||||
\(799\) | −3.63107 | + | 2.63812i | −0.128458 | + | 0.0933301i | ||||
\(800\) | −6.94637 | −0.245591 | ||||||||
\(801\) | −6.65241 | −0.235051 | ||||||||
\(802\) | 24.8048 | − | 18.0217i | 0.875887 | − | 0.636369i | ||||
\(803\) | −6.26723 | + | 19.2885i | −0.221166 | + | 0.680678i | ||||
\(804\) | −2.29240 | − | 7.05530i | −0.0808469 | − | 0.248821i | ||||
\(805\) | −5.34915 | −0.188533 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.16733 | −0.322705 | ||||||||
\(808\) | 0.376780 | + | 1.15961i | 0.0132551 | + | 0.0407949i | ||||
\(809\) | 5.81234 | − | 17.8885i | 0.204351 | − | 0.628928i | −0.795388 | − | 0.606100i | \(-0.792733\pi\) |
0.999739 | − | 0.0228278i | \(-0.00726693\pi\) | |||||||
\(810\) | −17.2752 | + | 12.5512i | −0.606988 | + | 0.441002i | ||||
\(811\) | −39.5385 | −1.38839 | −0.694193 | − | 0.719789i | \(-0.744239\pi\) | ||||
−0.694193 | + | 0.719789i | \(0.744239\pi\) | |||||||
\(812\) | 12.4765 | 0.437840 | ||||||||
\(813\) | −10.3287 | + | 7.50428i | −0.362245 | + | 0.263186i | ||||
\(814\) | −6.80214 | − | 4.94204i | −0.238415 | − | 0.173219i | ||||
\(815\) | −0.166527 | − | 0.120989i | −0.00583319 | − | 0.00423806i | ||||
\(816\) | −6.78700 | − | 20.8882i | −0.237593 | − | 0.731235i | ||||
\(817\) | 19.1622 | − | 13.9222i | 0.670402 | − | 0.487075i | ||||
\(818\) | −1.33542 | − | 4.10999i | −0.0466918 | − | 0.143703i | ||||
\(819\) | −4.04362 | + | 12.4450i | −0.141295 | + | 0.434862i | ||||
\(820\) | −0.203096 | − | 0.147558i | −0.00709241 | − | 0.00515293i | ||||
\(821\) | 4.52299 | − | 13.9203i | 0.157854 | − | 0.485823i | −0.840585 | − | 0.541679i | \(-0.817789\pi\) |
0.998439 | + | 0.0558559i | \(0.0177887\pi\) | |||||||
\(822\) | −7.80434 | + | 24.0193i | −0.272208 | + | 0.837769i | ||||
\(823\) | 33.8062 | + | 24.5616i | 1.17841 | + | 0.856164i | 0.991991 | − | 0.126307i | \(-0.0403124\pi\) |
0.186417 | + | 0.982471i | \(0.440312\pi\) | |||||||
\(824\) | −3.09644 | + | 9.52986i | −0.107870 | + | 0.331988i | ||||
\(825\) | 6.29759 | + | 19.3820i | 0.219254 | + | 0.674794i | ||||
\(826\) | 29.4955 | − | 21.4298i | 1.02628 | − | 0.745637i | ||||
\(827\) | 2.90665 | + | 8.94576i | 0.101074 | + | 0.311075i | 0.988789 | − | 0.149319i | \(-0.0477082\pi\) |
−0.887715 | + | 0.460394i | \(0.847708\pi\) | |||||||
\(828\) | −0.462949 | − | 0.336352i | −0.0160886 | − | 0.0116890i | ||||
\(829\) | 32.6283 | + | 23.7058i | 1.13323 | + | 0.823337i | 0.986161 | − | 0.165790i | \(-0.0530173\pi\) |
0.147065 | + | 0.989127i | \(0.453017\pi\) | |||||||
\(830\) | 12.9348 | − | 9.39771i | 0.448975 | − | 0.326199i | ||||
\(831\) | 45.7478 | 1.58697 | ||||||||
\(832\) | 23.4174 | 0.811854 | ||||||||
\(833\) | 22.8053 | − | 16.5690i | 0.790158 | − | 0.574083i | ||||
\(834\) | −12.2453 | + | 37.6872i | −0.424020 | + | 1.30500i | ||||
\(835\) | −1.88603 | − | 5.80460i | −0.0652688 | − | 0.200877i | ||||
\(836\) | −11.0509 | −0.382203 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.07693 | 0.175380 | ||||||||
\(839\) | 2.20936 | + | 6.79972i | 0.0762757 | + | 0.234752i | 0.981923 | − | 0.189278i | \(-0.0606149\pi\) |
−0.905648 | + | 0.424031i | \(0.860615\pi\) | |||||||
\(840\) | 11.5277 | − | 35.4785i | 0.397742 | − | 1.22412i | ||||
\(841\) | −14.0420 | + | 10.2021i | −0.484208 | + | 0.351798i | ||||
\(842\) | 34.0097 | 1.17205 | ||||||||
\(843\) | 63.8544 | 2.19926 | ||||||||
\(844\) | 2.45711 | − | 1.78520i | 0.0845773 | − | 0.0614490i | ||||
\(845\) | −7.57319 | − | 5.50224i | −0.260526 | − | 0.189283i | ||||
\(846\) | 1.54756 | + | 1.12437i | 0.0532063 | + | 0.0386566i | ||||
\(847\) | −3.70149 | − | 11.3920i | −0.127185 | − | 0.391435i | ||||
\(848\) | 5.31839 | − | 3.86404i | 0.182634 | − | 0.132692i | ||||
\(849\) | 13.6866 | + | 42.1231i | 0.469724 | + | 1.44566i | ||||
\(850\) | 3.75241 | − | 11.5487i | 0.128707 | − | 0.396118i | ||||
\(851\) | 1.33530 | + | 0.970152i | 0.0457735 | + | 0.0332564i | ||||
\(852\) | −1.57483 | + | 4.84683i | −0.0539528 | + | 0.166050i | ||||
\(853\) | 0.348160 | − | 1.07153i | 0.0119208 | − | 0.0366884i | −0.944919 | − | 0.327304i | \(-0.893860\pi\) |
0.956840 | + | 0.290615i | \(0.0938600\pi\) | |||||||
\(854\) | 10.3266 | + | 7.50274i | 0.353370 | + | 0.256738i | ||||
\(855\) | −3.80259 | + | 11.7032i | −0.130046 | + | 0.400240i | ||||
\(856\) | −2.98308 | − | 9.18099i | −0.101960 | − | 0.313800i | ||||
\(857\) | 19.2983 | − | 14.0210i | 0.659218 | − | 0.478950i | −0.207181 | − | 0.978303i | \(-0.566429\pi\) |
0.866399 | + | 0.499353i | \(0.166429\pi\) | |||||||
\(858\) | −7.83108 | − | 24.1016i | −0.267349 | − | 0.822814i | ||||
\(859\) | 26.2653 | + | 19.0829i | 0.896160 | + | 0.651098i | 0.937477 | − | 0.348048i | \(-0.113155\pi\) |
−0.0413167 | + | 0.999146i | \(0.513155\pi\) | |||||||
\(860\) | 2.33971 | + | 1.69990i | 0.0797836 | + | 0.0579662i | ||||
\(861\) | −2.15278 | + | 1.56409i | −0.0733665 | + | 0.0533039i | ||||
\(862\) | −18.3273 | −0.624229 | ||||||||
\(863\) | 23.8418 | 0.811585 | 0.405793 | − | 0.913965i | \(-0.366996\pi\) | ||||
0.405793 | + | 0.913965i | \(0.366996\pi\) | |||||||
\(864\) | −7.56744 | + | 5.49807i | −0.257450 | + | 0.187048i | ||||
\(865\) | 6.90498 | − | 21.2513i | 0.234776 | − | 0.722567i | ||||
\(866\) | −3.52660 | − | 10.8538i | −0.119839 | − | 0.368826i | ||||
\(867\) | 5.71523 | 0.194099 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 36.6268 | 1.24248 | ||||||||
\(870\) | 8.31433 | + | 25.5889i | 0.281882 | + | 0.867544i | ||||
\(871\) | −6.04291 | + | 18.5982i | −0.204756 | + | 0.630175i | ||||
\(872\) | 17.2092 | − | 12.5032i | 0.582777 | − | 0.423412i | ||||
\(873\) | 14.2487 | 0.482247 | ||||||||
\(874\) | −6.83675 | −0.231256 | ||||||||
\(875\) | 36.2008 | − | 26.3014i | 1.22381 | − | 0.889151i | ||||
\(876\) | 4.36037 | + | 3.16799i | 0.147323 | + | 0.107036i | ||||
\(877\) | −23.6837 | − | 17.2072i | −0.799741 | − | 0.581046i | 0.111097 | − | 0.993810i | \(-0.464564\pi\) |
−0.910838 | + | 0.412764i | \(0.864564\pi\) | |||||||
\(878\) | 6.74641 | + | 20.7633i | 0.227680 | + | 0.700728i | ||||
\(879\) | −3.02001 | + | 2.19416i | −0.101862 | + | 0.0740073i | ||||
\(880\) | 5.03839 | + | 15.5066i | 0.169844 | + | 0.522726i | ||||
\(881\) | −2.79045 | + | 8.58811i | −0.0940126 | + | 0.289341i | −0.986995 | − | 0.160750i | \(-0.948609\pi\) |
0.892983 | + | 0.450091i | \(0.148609\pi\) | |||||||
\(882\) | −9.71965 | − | 7.06174i | −0.327278 | − | 0.237781i | ||||
\(883\) | −6.61531 | + | 20.3598i | −0.222623 | + | 0.685162i | 0.775901 | + | 0.630854i | \(0.217295\pi\) |
−0.998524 | + | 0.0543083i | \(0.982705\pi\) | |||||||
\(884\) | 1.48060 | − | 4.55682i | 0.0497979 | − | 0.153262i | ||||
\(885\) | −20.1831 | − | 14.6639i | −0.678448 | − | 0.492921i | ||||
\(886\) | −7.02515 | + | 21.6212i | −0.236015 | + | 0.726378i | ||||
\(887\) | 7.60028 | + | 23.3912i | 0.255192 | + | 0.785401i | 0.993792 | + | 0.111257i | \(0.0354875\pi\) |
−0.738599 | + | 0.674145i | \(0.764512\pi\) | |||||||
\(888\) | −9.31221 | + | 6.76572i | −0.312497 | + | 0.227043i | ||||
\(889\) | −23.7746 | − | 73.1707i | −0.797374 | − | 2.45407i | ||||
\(890\) | −7.85105 | − | 5.70412i | −0.263168 | − | 0.191203i | ||||
\(891\) | 34.1202 | + | 24.7898i | 1.14307 | + | 0.830489i | ||||
\(892\) | −2.87987 | + | 2.09235i | −0.0964251 | + | 0.0700570i | ||||
\(893\) | −7.25179 | −0.242672 | ||||||||
\(894\) | 38.9728 | 1.30345 | ||||||||
\(895\) | 22.1576 | − | 16.0984i | 0.740646 | − | 0.538111i | ||||
\(896\) | −6.61694 | + | 20.3649i | −0.221057 | + | 0.680342i | ||||
\(897\) | 1.53729 | + | 4.73128i | 0.0513285 | + | 0.157973i | ||||
\(898\) | −27.9829 | −0.933801 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 1.64218 | 0.0547395 | ||||||||
\(901\) | −2.73404 | − | 8.41450i | −0.0910839 | − | 0.280328i | ||||
\(902\) | 0.482874 | − | 1.48613i | 0.0160779 | − | 0.0494828i | ||||
\(903\) | 24.8006 | − | 18.0187i | 0.825312 | − | 0.599624i | ||||
\(904\) | 46.6238 | 1.55069 | ||||||||
\(905\) | −18.6389 | −0.619578 | ||||||||
\(906\) | 0.541574 | − | 0.393477i | 0.0179926 | − | 0.0130724i | ||||
\(907\) | 15.9913 | + | 11.6183i | 0.530981 | + | 0.385781i | 0.820725 | − | 0.571324i | \(-0.193570\pi\) |
−0.289743 | + | 0.957104i | \(0.593570\pi\) | |||||||
\(908\) | 7.49861 | + | 5.44806i | 0.248850 | + | 0.180800i | ||||
\(909\) | −0.160858 | − | 0.495069i | −0.00533531 | − | 0.0164204i | ||||
\(910\) | −15.4432 | + | 11.2201i | −0.511936 | + | 0.371943i | ||||
\(911\) | 11.0077 | + | 33.8781i | 0.364701 | + | 1.12243i | 0.950168 | + | 0.311737i | \(0.100911\pi\) |
−0.585468 | + | 0.810696i | \(0.699089\pi\) | |||||||
\(912\) | 10.9660 | − | 33.7498i | 0.363119 | − | 1.11757i | ||||
\(913\) | −25.5476 | − | 18.5614i | −0.845501 | − | 0.614293i | ||||
\(914\) | 6.15383 | − | 18.9395i | 0.203550 | − | 0.626464i | ||||
\(915\) | 2.69908 | − | 8.30691i | 0.0892287 | − | 0.274618i | ||||
\(916\) | 2.37242 | + | 1.72366i | 0.0783870 | + | 0.0569515i | ||||
\(917\) | −14.8706 | + | 45.7671i | −0.491072 | + | 1.51136i | ||||
\(918\) | −5.05294 | − | 15.5513i | −0.166772 | − | 0.513271i | ||||
\(919\) | 13.8798 | − | 10.0842i | 0.457851 | − | 0.332648i | −0.334837 | − | 0.942276i | \(-0.608681\pi\) |
0.792688 | + | 0.609628i | \(0.208681\pi\) | |||||||
\(920\) | −1.32887 | − | 4.08986i | −0.0438117 | − | 0.134839i | ||||
\(921\) | 44.9375 | + | 32.6490i | 1.48074 | + | 1.07582i | ||||
\(922\) | 21.4709 | + | 15.5995i | 0.707105 | + | 0.513742i | ||||
\(923\) | 10.8684 | − | 7.89632i | 0.357736 | − | 0.259911i | ||||
\(924\) | −14.3025 | −0.470519 | ||||||||
\(925\) | −4.73661 | −0.155739 | ||||||||
\(926\) | −17.4546 | + | 12.6815i | −0.573594 | + | 0.416741i | ||||
\(927\) | 1.32195 | − | 4.06856i | 0.0434187 | − | 0.133629i | ||||
\(928\) | 5.59734 | + | 17.2268i | 0.183742 | + | 0.565499i | ||||
\(929\) | −45.5222 | −1.49353 | −0.746767 | − | 0.665086i | \(-0.768395\pi\) | ||||
−0.746767 | + | 0.665086i | \(0.768395\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 45.5457 | 1.49270 | ||||||||
\(932\) | −2.60939 | − | 8.03088i | −0.0854734 | − | 0.263060i | ||||
\(933\) | −2.68095 | + | 8.25113i | −0.0877705 | + | 0.270130i | ||||
\(934\) | 11.7694 | − | 8.55098i | 0.385107 | − | 0.279797i | ||||
\(935\) | 21.9436 | 0.717633 | ||||||||
\(936\) | −10.5197 | −0.343848 | ||||||||
\(937\) | −20.7250 | + | 15.0576i | −0.677056 | + | 0.491910i | −0.872380 | − | 0.488829i | \(-0.837424\pi\) |
0.195324 | + | 0.980739i | \(0.437424\pi\) | |||||||
\(938\) | −28.1394 | − | 20.4445i | −0.918784 | − | 0.667536i | ||||
\(939\) | 19.0411 | + | 13.8342i | 0.621383 | + | 0.451461i | ||||
\(940\) | −0.273618 | − | 0.842110i | −0.00892443 | − | 0.0274666i | ||||
\(941\) | 9.80839 | − | 7.12621i | 0.319744 | − | 0.232308i | −0.416322 | − | 0.909217i | \(-0.636681\pi\) |
0.736066 | + | 0.676909i | \(0.236681\pi\) | |||||||
\(942\) | −12.5831 | − | 38.7268i | −0.409980 | − | 1.26179i | ||||
\(943\) | −0.0947910 | + | 0.291737i | −0.00308682 | + | 0.00950025i | ||||
\(944\) | 17.6487 | + | 12.8226i | 0.574418 | + | 0.417339i | ||||
\(945\) | 6.38775 | − | 19.6595i | 0.207794 | − | 0.639523i | ||||
\(946\) | −5.56284 | + | 17.1207i | −0.180863 | + | 0.556640i | ||||
\(947\) | −22.0061 | − | 15.9884i | −0.715103 | − | 0.519553i | 0.169713 | − | 0.985494i | \(-0.445716\pi\) |
−0.884816 | + | 0.465941i | \(0.845716\pi\) | |||||||
\(948\) | 3.00783 | − | 9.25715i | 0.0976898 | − | 0.300658i | ||||
\(949\) | −4.39039 | − | 13.5122i | −0.142518 | − | 0.438625i | ||||
\(950\) | 15.8728 | − | 11.5323i | 0.514982 | − | 0.374157i | ||||
\(951\) | −16.5952 | − | 51.0747i | −0.538136 | − | 1.65621i | ||||
\(952\) | 35.5174 | + | 25.8049i | 1.15113 | + | 0.836342i | ||||
\(953\) | 20.1386 | + | 14.6316i | 0.652353 | + | 0.473962i | 0.864072 | − | 0.503368i | \(-0.167906\pi\) |
−0.211719 | + | 0.977331i | \(0.567906\pi\) | |||||||
\(954\) | −3.05066 | + | 2.21643i | −0.0987687 | + | 0.0717597i | ||||
\(955\) | −7.83866 | −0.253653 | ||||||||
\(956\) | −13.4467 | −0.434896 | ||||||||
\(957\) | 42.9924 | − | 31.2358i | 1.38975 | − | 1.00971i | ||||
\(958\) | −6.01936 | + | 18.5257i | −0.194477 | + | 0.598538i | ||||
\(959\) | −11.6109 | − | 35.7346i | −0.374935 | − | 1.15393i | ||||
\(960\) | 28.5013 | 0.919876 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 5.89000 | 0.189901 | ||||||||
\(963\) | 1.27356 | + | 3.91961i | 0.0410399 | + | 0.126308i | ||||
\(964\) | 3.38674 | − | 10.4233i | 0.109080 | − | 0.335712i | ||||
\(965\) | −25.0609 | + | 18.2078i | −0.806739 | + | 0.586130i | ||||
\(966\) | −8.84842 | −0.284693 | ||||||||
\(967\) | −52.1998 | −1.67863 | −0.839316 | − | 0.543643i | \(-0.817044\pi\) | ||||
−0.839316 | + | 0.543643i | \(0.817044\pi\) | |||||||
\(968\) | 7.79057 | − | 5.66018i | 0.250398 | − | 0.181925i | ||||
\(969\) | −38.6386 | − | 28.0726i | −1.24125 | − | 0.901821i | ||||
\(970\) | 16.8161 | + | 12.2176i | 0.539933 | + | 0.392284i | ||||
\(971\) | −6.16824 | − | 18.9839i | −0.197948 | − | 0.609222i | −0.999930 | − | 0.0118727i | \(-0.996221\pi\) |
0.801981 | − | 0.597349i | \(-0.203779\pi\) | |||||||
\(972\) | 4.95638 | − | 3.60102i | 0.158976 | − | 0.115503i | ||||
\(973\) | −18.2179 | − | 56.0689i | −0.584039 | − | 1.79749i | ||||
\(974\) | −4.87057 | + | 14.9901i | −0.156063 | + | 0.480313i | ||||
\(975\) | −11.5499 | − | 8.39147i | −0.369892 | − | 0.268742i | ||||
\(976\) | −2.36016 | + | 7.26382i | −0.0755468 | + | 0.232509i | ||||
\(977\) | −18.6185 | + | 57.3017i | −0.595657 | + | 1.83324i | −0.0442310 | + | 0.999021i | \(0.514084\pi\) |
−0.551426 | + | 0.834224i | \(0.685916\pi\) | |||||||
\(978\) | −0.275465 | − | 0.200137i | −0.00880839 | − | 0.00639967i | ||||
\(979\) | −5.92300 | + | 18.2291i | −0.189300 | + | 0.582605i | ||||
\(980\) | 1.71849 | + | 5.28897i | 0.0548951 | + | 0.168950i | ||||
\(981\) | −7.34707 | + | 5.33796i | −0.234574 | + | 0.170428i | ||||
\(982\) | 7.05483 | + | 21.7125i | 0.225129 | + | 0.692875i | ||||
\(983\) | −9.33502 | − | 6.78229i | −0.297741 | − | 0.216322i | 0.428877 | − | 0.903363i | \(-0.358909\pi\) |
−0.726619 | + | 0.687041i | \(0.758909\pi\) | |||||||
\(984\) | −1.73068 | − | 1.25741i | −0.0551720 | − | 0.0400848i | ||||
\(985\) | −27.1449 | + | 19.7219i | −0.864908 | + | 0.628393i | ||||
\(986\) | −31.6643 | −1.00840 | ||||||||
\(987\) | −9.38559 | −0.298746 | ||||||||
\(988\) | 6.26299 | − | 4.55033i | 0.199252 | − | 0.144765i | ||||
\(989\) | 1.09202 | − | 3.36088i | 0.0347241 | − | 0.106870i | ||||
\(990\) | −2.89005 | − | 8.89465i | −0.0918517 | − | 0.282690i | ||||
\(991\) | −37.3423 | −1.18622 | −0.593109 | − | 0.805122i | \(-0.702100\pi\) | ||||
−0.593109 | + | 0.805122i | \(0.702100\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.58899 | 0.0504251 | ||||||||
\(994\) | 7.38383 | + | 22.7251i | 0.234201 | + | 0.720796i | ||||
\(995\) | 7.24341 | − | 22.2929i | 0.229631 | − | 0.706733i | ||||
\(996\) | −6.78925 | + | 4.93268i | −0.215126 | + | 0.156298i | ||||
\(997\) | 20.8024 | 0.658820 | 0.329410 | − | 0.944187i | \(-0.393150\pi\) | ||||
0.329410 | + | 0.944187i | \(0.393150\pi\) | |||||||
\(998\) | −50.3801 | −1.59476 | ||||||||
\(999\) | −5.16012 | + | 3.74904i | −0.163259 | + | 0.118614i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))