Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(7,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.n (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 201.13 |
Dual form | 201.3.n.a.31.2 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.93043 | − | 2.45475i | −0.965217 | − | 1.22737i | −0.973799 | − | 0.227410i | \(-0.926974\pi\) |
0.00858173 | − | 0.999963i | \(-0.497268\pi\) | |||||||
\(3\) | 1.30900 | + | 1.13425i | 0.436332 | + | 0.378084i | ||||
\(4\) | −1.35617 | + | 5.59021i | −0.339043 | + | 1.39755i | ||||
\(5\) | 2.11556 | + | 3.29187i | 0.423111 | + | 0.658374i | 0.985728 | − | 0.168343i | \(-0.0538418\pi\) |
−0.562617 | + | 0.826718i | \(0.690205\pi\) | |||||||
\(6\) | 0.257370 | − | 5.40286i | 0.0428950 | − | 0.900476i | ||||
\(7\) | 0.841588 | − | 2.10218i | 0.120227 | − | 0.300312i | −0.856031 | − | 0.516925i | \(-0.827077\pi\) |
0.976258 | + | 0.216613i | \(0.0695009\pi\) | |||||||
\(8\) | 4.97788 | − | 2.27332i | 0.622235 | − | 0.284165i | ||||
\(9\) | 0.426945 | + | 2.96946i | 0.0474383 | + | 0.329940i | ||||
\(10\) | 3.99677 | − | 11.5479i | 0.399677 | − | 1.15479i | ||||
\(11\) | −19.8557 | + | 0.945845i | −1.80507 | + | 0.0859859i | −0.922920 | − | 0.384991i | \(-0.874205\pi\) |
−0.882146 | + | 0.470977i | \(0.843902\pi\) | |||||||
\(12\) | −8.11593 | + | 5.77933i | −0.676328 | + | 0.481611i | ||||
\(13\) | 1.94996 | + | 20.4209i | 0.149997 | + | 1.57084i | 0.686622 | + | 0.727015i | \(0.259093\pi\) |
−0.536625 | + | 0.843821i | \(0.680301\pi\) | |||||||
\(14\) | −6.78496 | + | 1.99224i | −0.484640 | + | 0.142303i | ||||
\(15\) | −0.964555 | + | 6.70862i | −0.0643036 | + | 0.447242i | ||||
\(16\) | 5.26171 | + | 2.71260i | 0.328857 | + | 0.169538i | ||||
\(17\) | 5.41288 | + | 22.3122i | 0.318405 | + | 1.31248i | 0.875977 | + | 0.482353i | \(0.160218\pi\) |
−0.557572 | + | 0.830128i | \(0.688267\pi\) | |||||||
\(18\) | 6.46510 | − | 6.78040i | 0.359172 | − | 0.376689i | ||||
\(19\) | −1.58924 | + | 0.636235i | −0.0836441 | + | 0.0334860i | −0.413107 | − | 0.910682i | \(-0.635557\pi\) |
0.329463 | + | 0.944168i | \(0.393132\pi\) | |||||||
\(20\) | −21.2713 | + | 7.36207i | −1.06357 | + | 0.368104i | ||||
\(21\) | 3.48604 | − | 1.79718i | 0.166002 | − | 0.0855800i | ||||
\(22\) | 40.6520 | + | 46.9149i | 1.84782 | + | 2.13250i | ||||
\(23\) | −22.2628 | − | 4.29081i | −0.967950 | − | 0.186557i | −0.319308 | − | 0.947651i | \(-0.603451\pi\) |
−0.648642 | + | 0.761094i | \(0.724663\pi\) | |||||||
\(24\) | 9.09455 | + | 2.67040i | 0.378939 | + | 0.111267i | ||||
\(25\) | 4.02454 | − | 8.81251i | 0.160982 | − | 0.352501i | ||||
\(26\) | 46.3638 | − | 44.2078i | 1.78322 | − | 1.70030i | ||||
\(27\) | −2.80925 | + | 4.37128i | −0.104046 | + | 0.161899i | ||||
\(28\) | 10.6103 | + | 7.55558i | 0.378940 | + | 0.269842i | ||||
\(29\) | 10.2295 | − | 17.7180i | 0.352740 | − | 0.610964i | −0.633988 | − | 0.773343i | \(-0.718583\pi\) |
0.986729 | + | 0.162378i | \(0.0519165\pi\) | |||||||
\(30\) | 18.3300 | − | 10.5828i | 0.611000 | − | 0.352761i | ||||
\(31\) | −1.92621 | + | 20.1722i | −0.0621357 | + | 0.650715i | 0.909733 | + | 0.415193i | \(0.136286\pi\) |
−0.971869 | + | 0.235522i | \(0.924320\pi\) | |||||||
\(32\) | −7.64128 | − | 39.6467i | −0.238790 | − | 1.23896i | ||||
\(33\) | −27.0639 | − | 21.2833i | −0.820118 | − | 0.644948i | ||||
\(34\) | 44.3216 | − | 56.3595i | 1.30358 | − | 1.65763i | ||||
\(35\) | 8.70055 | − | 1.67689i | 0.248587 | − | 0.0479112i | ||||
\(36\) | −17.1789 | − | 1.64039i | −0.477193 | − | 0.0455664i | ||||
\(37\) | 34.6113 | + | 59.9485i | 0.935441 | + | 1.62023i | 0.773846 | + | 0.633374i | \(0.218330\pi\) |
0.161595 | + | 0.986857i | \(0.448336\pi\) | |||||||
\(38\) | 4.62972 | + | 2.67297i | 0.121835 | + | 0.0703412i | ||||
\(39\) | −20.6099 | + | 28.9426i | −0.528459 | + | 0.742117i | ||||
\(40\) | 18.0145 | + | 11.5772i | 0.450362 | + | 0.289430i | ||||
\(41\) | 26.9108 | + | 28.2232i | 0.656360 | + | 0.688371i | 0.964833 | − | 0.262862i | \(-0.0846665\pi\) |
−0.308473 | + | 0.951233i | \(0.599818\pi\) | |||||||
\(42\) | −11.1412 | − | 5.08802i | −0.265267 | − | 0.121143i | ||||
\(43\) | 5.99845 | − | 20.4288i | 0.139499 | − | 0.475089i | −0.859874 | − | 0.510507i | \(-0.829458\pi\) |
0.999373 | + | 0.0354175i | \(0.0112761\pi\) | |||||||
\(44\) | 21.6403 | − | 112.280i | 0.491825 | − | 2.55183i | ||||
\(45\) | −8.87187 | + | 7.68752i | −0.197153 | + | 0.170834i | ||||
\(46\) | 32.4441 | + | 62.9328i | 0.705307 | + | 1.36810i | ||||
\(47\) | −0.810498 | − | 2.34178i | −0.0172446 | − | 0.0498251i | 0.936050 | − | 0.351867i | \(-0.114453\pi\) |
−0.953295 | + | 0.302042i | \(0.902332\pi\) | |||||||
\(48\) | 3.81079 | + | 9.51890i | 0.0793915 | + | 0.198310i | ||||
\(49\) | 31.7521 | + | 30.2755i | 0.648001 | + | 0.617868i | ||||
\(50\) | −29.4016 | + | 7.13275i | −0.588032 | + | 0.142655i | ||||
\(51\) | −18.2222 | + | 35.3461i | −0.357298 | + | 0.693062i | ||||
\(52\) | −116.801 | − | 16.7935i | −2.24618 | − | 0.322952i | ||||
\(53\) | −16.7759 | − | 57.1336i | −0.316527 | − | 1.07799i | −0.952058 | − | 0.305917i | \(-0.901037\pi\) |
0.635531 | − | 0.772075i | \(-0.280781\pi\) | |||||||
\(54\) | 16.1535 | − | 1.54247i | 0.299138 | − | 0.0285642i | ||||
\(55\) | −45.1195 | − | 63.3615i | −0.820355 | − | 1.15203i | ||||
\(56\) | −0.589619 | − | 12.3776i | −0.0105289 | − | 0.221029i | ||||
\(57\) | −2.80196 | − | 0.969767i | −0.0491572 | − | 0.0170135i | ||||
\(58\) | −63.2404 | + | 9.09260i | −1.09035 | + | 0.156769i | ||||
\(59\) | 16.8046 | + | 36.7969i | 0.284823 | + | 0.623676i | 0.996922 | − | 0.0784039i | \(-0.0249824\pi\) |
−0.712099 | + | 0.702080i | \(0.752255\pi\) | |||||||
\(60\) | −36.1945 | − | 14.4901i | −0.603242 | − | 0.241502i | ||||
\(61\) | −83.0996 | − | 3.95852i | −1.36229 | − | 0.0648938i | −0.646342 | − | 0.763048i | \(-0.723702\pi\) |
−0.715947 | + | 0.698154i | \(0.754005\pi\) | |||||||
\(62\) | 53.2360 | − | 34.2127i | 0.858645 | − | 0.551817i | ||||
\(63\) | 6.60167 | + | 1.60155i | 0.104788 | + | 0.0254214i | ||||
\(64\) | −67.0652 | + | 77.3974i | −1.04789 | + | 1.20933i | ||||
\(65\) | −63.0976 | + | 49.6205i | −0.970732 | + | 0.763392i | ||||
\(66\) | 107.521i | 1.62911i | ||||||||
\(67\) | −6.50800 | − | 66.6832i | −0.0971343 | − | 0.995271i | ||||
\(68\) | −132.071 | −1.94221 | ||||||||
\(69\) | −24.2751 | − | 30.8683i | −0.351813 | − | 0.447367i | ||||
\(70\) | −20.9122 | − | 18.1205i | −0.298746 | − | 0.258865i | ||||
\(71\) | −30.1381 | + | 124.231i | −0.424480 | + | 1.74973i | 0.210880 | + | 0.977512i | \(0.432367\pi\) |
−0.635359 | + | 0.772217i | \(0.719148\pi\) | |||||||
\(72\) | 8.87582 | + | 13.8111i | 0.123275 | + | 0.191820i | ||||
\(73\) | 4.05487 | − | 85.1221i | 0.0555461 | − | 1.16606i | −0.783284 | − | 0.621664i | \(-0.786457\pi\) |
0.838830 | − | 0.544393i | \(-0.183240\pi\) | |||||||
\(74\) | 80.3437 | − | 200.689i | 1.08573 | − | 2.71201i | ||||
\(75\) | 15.2637 | − | 6.97071i | 0.203516 | − | 0.0929428i | ||||
\(76\) | −1.40141 | − | 9.74702i | −0.0184396 | − | 0.128250i | ||||
\(77\) | −14.7220 | + | 42.5364i | −0.191195 | + | 0.552421i | ||||
\(78\) | 110.833 | − | 5.27962i | 1.42093 | − | 0.0676874i | ||||
\(79\) | 55.9213 | − | 39.8213i | 0.707864 | − | 0.504068i | −0.168509 | − | 0.985700i | \(-0.553895\pi\) |
0.876373 | + | 0.481632i | \(0.159956\pi\) | |||||||
\(80\) | 2.20192 | + | 23.0595i | 0.0275240 | + | 0.288244i | ||||
\(81\) | −8.63544 | + | 2.53559i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 17.3313 | − | 120.542i | 0.211358 | − | 1.47003i | ||||
\(83\) | −46.0140 | − | 23.7219i | −0.554386 | − | 0.285806i | 0.158181 | − | 0.987410i | \(-0.449437\pi\) |
−0.712567 | + | 0.701604i | \(0.752467\pi\) | |||||||
\(84\) | 5.31895 | + | 21.9250i | 0.0633208 | + | 0.261012i | ||||
\(85\) | −61.9976 | + | 65.0212i | −0.729383 | + | 0.764955i | ||||
\(86\) | −61.7272 | + | 24.7119i | −0.717758 | + | 0.287347i | ||||
\(87\) | 33.4870 | − | 11.5900i | 0.384908 | − | 0.133218i | ||||
\(88\) | −96.6892 | + | 49.8467i | −1.09874 | + | 0.566440i | ||||
\(89\) | −24.0454 | − | 27.7499i | −0.270173 | − | 0.311797i | 0.604408 | − | 0.796675i | \(-0.293410\pi\) |
−0.874582 | + | 0.484878i | \(0.838864\pi\) | |||||||
\(90\) | 35.9975 | + | 6.93795i | 0.399972 | + | 0.0770883i | ||||
\(91\) | 44.5695 | + | 13.0868i | 0.489774 | + | 0.143811i | ||||
\(92\) | 54.1788 | − | 118.635i | 0.588900 | − | 1.28951i | ||||
\(93\) | −25.4017 | + | 24.2205i | −0.273137 | + | 0.260435i | ||||
\(94\) | −4.18387 | + | 6.51022i | −0.0445092 | + | 0.0692577i | ||||
\(95\) | −5.45653 | − | 3.88558i | −0.0574371 | − | 0.0409008i | ||||
\(96\) | 34.9670 | − | 60.5646i | 0.364239 | − | 0.630881i | ||||
\(97\) | −14.6804 | + | 8.47576i | −0.151345 | + | 0.0873790i | −0.573760 | − | 0.819024i | \(-0.694516\pi\) |
0.422415 | + | 0.906402i | \(0.361182\pi\) | |||||||
\(98\) | 13.0235 | − | 136.388i | 0.132893 | − | 1.39172i | ||||
\(99\) | −11.2859 | − | 58.5571i | −0.113999 | − | 0.591485i | ||||
\(100\) | 43.8059 | + | 34.4493i | 0.438059 | + | 0.344493i | ||||
\(101\) | 34.4137 | − | 43.7606i | 0.340730 | − | 0.433273i | −0.585246 | − | 0.810856i | \(-0.699002\pi\) |
0.925976 | + | 0.377583i | \(0.123245\pi\) | |||||||
\(102\) | 121.943 | − | 23.5025i | 1.19552 | − | 0.230417i | ||||
\(103\) | 106.098 | + | 10.1311i | 1.03008 | + | 0.0983605i | 0.596383 | − | 0.802700i | \(-0.296604\pi\) |
0.433694 | + | 0.901060i | \(0.357210\pi\) | |||||||
\(104\) | 56.1298 | + | 97.2197i | 0.539710 | + | 0.934805i | ||||
\(105\) | 13.2910 | + | 7.67357i | 0.126581 | + | 0.0730816i | ||||
\(106\) | −107.864 | + | 151.473i | −1.01758 | + | 1.42899i | ||||
\(107\) | −4.17878 | − | 2.68554i | −0.0390540 | − | 0.0250985i | 0.520968 | − | 0.853576i | \(-0.325571\pi\) |
−0.560022 | + | 0.828478i | \(0.689207\pi\) | |||||||
\(108\) | −20.6266 | − | 21.6325i | −0.190987 | − | 0.200301i | ||||
\(109\) | −126.299 | − | 57.6790i | −1.15871 | − | 0.529165i | −0.259096 | − | 0.965852i | \(-0.583425\pi\) |
−0.899614 | + | 0.436687i | \(0.856152\pi\) | |||||||
\(110\) | −68.4362 | + | 233.072i | −0.622147 | + | 2.11884i | ||||
\(111\) | −22.6907 | + | 117.730i | −0.204420 | + | 1.06063i | ||||
\(112\) | 10.1306 | − | 8.77820i | 0.0904517 | − | 0.0783768i | ||||
\(113\) | 26.9065 | + | 52.1913i | 0.238110 | + | 0.461870i | 0.977366 | − | 0.211555i | \(-0.0678528\pi\) |
−0.739256 | + | 0.673425i | \(0.764822\pi\) | |||||||
\(114\) | 3.02846 | + | 8.75017i | 0.0265655 | + | 0.0767559i | ||||
\(115\) | −32.9735 | − | 82.3639i | −0.286726 | − | 0.716208i | ||||
\(116\) | 85.1743 | + | 81.2135i | 0.734261 | + | 0.700116i | ||||
\(117\) | −59.8065 | + | 14.5089i | −0.511166 | + | 0.124008i | ||||
\(118\) | 57.8869 | − | 112.285i | 0.490567 | − | 0.951567i | ||||
\(119\) | 51.4597 | + | 7.39880i | 0.432435 | + | 0.0621747i | ||||
\(120\) | 10.4494 | + | 35.5875i | 0.0870785 | + | 0.296562i | ||||
\(121\) | 272.903 | − | 26.0591i | 2.25540 | − | 0.215364i | ||||
\(122\) | 150.701 | + | 211.630i | 1.23526 | + | 1.73467i | ||||
\(123\) | 3.21388 | + | 67.4677i | 0.0261291 | + | 0.548518i | ||||
\(124\) | −110.154 | − | 38.1248i | −0.888342 | − | 0.307458i | ||||
\(125\) | 134.354 | − | 19.3173i | 1.07484 | − | 0.154538i | ||||
\(126\) | −8.81270 | − | 19.2971i | −0.0699421 | − | 0.153152i | ||||
\(127\) | −155.489 | − | 62.2485i | −1.22432 | − | 0.490145i | −0.332748 | − | 0.943016i | \(-0.607976\pi\) |
−0.891576 | + | 0.452870i | \(0.850400\pi\) | |||||||
\(128\) | 158.133 | + | 7.53282i | 1.23542 | + | 0.0588501i | ||||
\(129\) | 31.0234 | − | 19.9375i | 0.240491 | − | 0.154554i | ||||
\(130\) | 243.612 | + | 59.0995i | 1.87393 | + | 0.454612i | ||||
\(131\) | 73.5103 | − | 84.8354i | 0.561147 | − | 0.647599i | −0.402296 | − | 0.915510i | \(-0.631788\pi\) |
0.963444 | + | 0.267911i | \(0.0863333\pi\) | |||||||
\(132\) | 155.681 | − | 122.429i | 1.17940 | − | 0.927494i | ||||
\(133\) | 3.87632i | 0.0291453i | ||||||||
\(134\) | −151.127 | + | 144.703i | −1.12781 | + | 1.07987i | ||||
\(135\) | −20.3328 | −0.150614 | ||||||||
\(136\) | 77.6674 | + | 98.7621i | 0.571084 | + | 0.726192i | ||||
\(137\) | 78.5865 | + | 68.0956i | 0.573624 | + | 0.497048i | 0.892682 | − | 0.450687i | \(-0.148821\pi\) |
−0.319058 | + | 0.947735i | \(0.603366\pi\) | |||||||
\(138\) | −28.9124 | + | 119.179i | −0.209510 | + | 0.863613i | ||||
\(139\) | −16.8493 | − | 26.2180i | −0.121218 | − | 0.188619i | 0.775342 | − | 0.631542i | \(-0.217578\pi\) |
−0.896559 | + | 0.442923i | \(0.853941\pi\) | |||||||
\(140\) | −2.42524 | + | 50.9121i | −0.0173231 | + | 0.363658i | ||||
\(141\) | 1.59523 | − | 3.98469i | 0.0113137 | − | 0.0282602i | ||||
\(142\) | 363.135 | − | 165.838i | 2.55729 | − | 1.16787i | ||||
\(143\) | −58.0327 | − | 403.627i | −0.405823 | − | 2.82256i | ||||
\(144\) | −5.80851 | + | 16.7826i | −0.0403369 | + | 0.116546i | ||||
\(145\) | 79.9663 | − | 3.80926i | 0.551492 | − | 0.0262708i | ||||
\(146\) | −216.781 | + | 154.369i | −1.48480 | + | 1.05732i | ||||
\(147\) | 7.22326 | + | 75.6454i | 0.0491378 | + | 0.514595i | ||||
\(148\) | −382.064 | + | 112.184i | −2.58151 | + | 0.758000i | ||||
\(149\) | −9.82748 | + | 68.3516i | −0.0659562 | + | 0.458736i | 0.929901 | + | 0.367809i | \(0.119892\pi\) |
−0.995858 | + | 0.0909267i | \(0.971017\pi\) | |||||||
\(150\) | −46.5769 | − | 24.0121i | −0.310513 | − | 0.160081i | ||||
\(151\) | 47.5717 | + | 196.093i | 0.315045 | + | 1.29863i | 0.880576 | + | 0.473905i | \(0.157156\pi\) |
−0.565531 | + | 0.824727i | \(0.691329\pi\) | |||||||
\(152\) | −6.46467 | + | 6.77995i | −0.0425307 | + | 0.0446049i | ||||
\(153\) | −63.9442 | + | 25.5994i | −0.417936 | + | 0.167316i | ||||
\(154\) | 132.836 | − | 45.9750i | 0.862572 | − | 0.298539i | ||||
\(155\) | −70.4792 | + | 36.3345i | −0.454704 | + | 0.234416i | ||||
\(156\) | −133.845 | − | 154.465i | −0.857978 | − | 0.990159i | ||||
\(157\) | −108.153 | − | 20.8447i | −0.688871 | − | 0.132769i | −0.167209 | − | 0.985921i | \(-0.553476\pi\) |
−0.521662 | + | 0.853152i | \(0.674688\pi\) | |||||||
\(158\) | −205.704 | − | 60.4001i | −1.30192 | − | 0.382279i | ||||
\(159\) | 42.8442 | − | 93.8158i | 0.269461 | − | 0.590036i | ||||
\(160\) | 114.346 | − | 109.029i | 0.714665 | − | 0.681432i | ||||
\(161\) | −27.7562 | + | 43.1895i | −0.172399 | + | 0.268258i | ||||
\(162\) | 22.8944 | + | 16.3030i | 0.141323 | + | 0.100636i | ||||
\(163\) | −9.43909 | + | 16.3490i | −0.0579085 | + | 0.100300i | −0.893526 | − | 0.449011i | \(-0.851777\pi\) |
0.835618 | + | 0.549311i | \(0.185110\pi\) | |||||||
\(164\) | −194.269 | + | 112.161i | −1.18457 | + | 0.683911i | ||||
\(165\) | 12.8066 | − | 134.117i | 0.0776158 | − | 0.812830i | ||||
\(166\) | 30.5958 | + | 158.746i | 0.184312 | + | 0.956303i | ||||
\(167\) | 186.015 | + | 146.284i | 1.11386 | + | 0.875953i | 0.993163 | − | 0.116736i | \(-0.0372431\pi\) |
0.120702 | + | 0.992689i | \(0.461486\pi\) | |||||||
\(168\) | 13.2675 | − | 16.8710i | 0.0789734 | − | 0.100423i | ||||
\(169\) | −247.263 | + | 47.6561i | −1.46310 | + | 0.281988i | ||||
\(170\) | 279.293 | + | 26.6692i | 1.64290 | + | 0.156878i | ||||
\(171\) | −2.56779 | − | 4.44755i | −0.0150163 | − | 0.0260091i | ||||
\(172\) | 106.067 | + | 61.2376i | 0.616666 | + | 0.356032i | ||||
\(173\) | 166.073 | − | 233.217i | 0.959959 | − | 1.34807i | 0.0225864 | − | 0.999745i | \(-0.492810\pi\) |
0.937372 | − | 0.348329i | \(-0.113251\pi\) | |||||||
\(174\) | −93.0948 | − | 59.8284i | −0.535028 | − | 0.343842i | ||||
\(175\) | −15.1385 | − | 15.8768i | −0.0865059 | − | 0.0907248i | ||||
\(176\) | −107.041 | − | 48.8839i | −0.608187 | − | 0.277750i | ||||
\(177\) | −19.7398 | + | 67.2276i | −0.111524 | + | 0.379817i | ||||
\(178\) | −21.7009 | + | 112.595i | −0.121915 | + | 0.632555i | ||||
\(179\) | −65.9410 | + | 57.1382i | −0.368386 | + | 0.319208i | −0.819306 | − | 0.573356i | \(-0.805641\pi\) |
0.450921 | + | 0.892564i | \(0.351096\pi\) | |||||||
\(180\) | −30.9431 | − | 60.0212i | −0.171906 | − | 0.333451i | ||||
\(181\) | −2.76285 | − | 7.98273i | −0.0152644 | − | 0.0441035i | 0.937111 | − | 0.349031i | \(-0.113489\pi\) |
−0.952376 | + | 0.304927i | \(0.901368\pi\) | |||||||
\(182\) | −53.9137 | − | 134.670i | −0.296229 | − | 0.739945i | ||||
\(183\) | −104.287 | − | 99.4376i | −0.569875 | − | 0.543375i | ||||
\(184\) | −120.576 | + | 29.2515i | −0.655305 | + | 0.158975i | ||||
\(185\) | −124.121 | + | 240.761i | −0.670923 | + | 1.30141i | ||||
\(186\) | 108.492 | + | 15.5987i | 0.583288 | + | 0.0838641i | ||||
\(187\) | −128.580 | − | 437.905i | −0.687596 | − | 2.34174i | ||||
\(188\) | 14.1902 | − | 1.35500i | 0.0754799 | − | 0.00720746i | ||||
\(189\) | 6.82501 | + | 9.58439i | 0.0361112 | + | 0.0507110i | ||||
\(190\) | 0.995363 | + | 20.8952i | 0.00523875 | + | 0.109975i | ||||
\(191\) | 71.7870 | + | 24.8457i | 0.375848 | + | 0.130082i | 0.508460 | − | 0.861086i | \(-0.330215\pi\) |
−0.132612 | + | 0.991168i | \(0.542336\pi\) | |||||||
\(192\) | −175.576 | + | 25.2441i | −0.914460 | + | 0.131479i | ||||
\(193\) | 3.53845 | + | 7.74812i | 0.0183339 | + | 0.0401457i | 0.918577 | − | 0.395241i | \(-0.129339\pi\) |
−0.900244 | + | 0.435387i | \(0.856612\pi\) | |||||||
\(194\) | 49.1455 | + | 19.6749i | 0.253327 | + | 0.101417i | ||||
\(195\) | −138.877 | − | 6.61551i | −0.712188 | − | 0.0339257i | ||||
\(196\) | −212.308 | + | 136.442i | −1.08320 | + | 0.696132i | ||||
\(197\) | 78.9982 | + | 19.1648i | 0.401006 | + | 0.0972830i | 0.431190 | − | 0.902261i | \(-0.358094\pi\) |
−0.0301835 | + | 0.999544i | \(0.509609\pi\) | |||||||
\(198\) | −121.956 | + | 140.745i | −0.615939 | + | 0.710832i | ||||
\(199\) | 62.5118 | − | 49.1598i | 0.314130 | − | 0.247034i | −0.448628 | − | 0.893718i | \(-0.648087\pi\) |
0.762758 | + | 0.646684i | \(0.223845\pi\) | |||||||
\(200\) | − | 53.0167i | − | 0.265084i | ||||||
\(201\) | 67.1166 | − | 94.6698i | 0.333913 | − | 0.470994i | ||||
\(202\) | −173.855 | −0.860666 | ||||||||
\(203\) | −28.6374 | − | 36.4155i | −0.141071 | − | 0.179387i | ||||
\(204\) | −172.880 | − | 149.801i | −0.847451 | − | 0.734320i | ||||
\(205\) | −35.9759 | + | 148.295i | −0.175492 | + | 0.723388i | ||||
\(206\) | −179.946 | − | 280.001i | −0.873524 | − | 1.35923i | ||||
\(207\) | 3.23641 | − | 67.9407i | 0.0156348 | − | 0.328216i | ||||
\(208\) | −45.1335 | + | 112.738i | −0.216988 | + | 0.542010i | ||||
\(209\) | 30.9537 | − | 14.1361i | 0.148104 | − | 0.0676367i | ||||
\(210\) | −6.82076 | − | 47.4394i | −0.0324798 | − | 0.225902i | ||||
\(211\) | −43.8330 | + | 126.647i | −0.207740 | + | 0.600224i | −0.999950 | − | 0.0100244i | \(-0.996809\pi\) |
0.792210 | + | 0.610248i | \(0.208930\pi\) | |||||||
\(212\) | 342.140 | − | 16.2981i | 1.61387 | − | 0.0768780i | ||||
\(213\) | −180.360 | + | 128.433i | −0.846759 | + | 0.602974i | ||||
\(214\) | 1.47454 | + | 15.4421i | 0.00689038 | + | 0.0721593i | ||||
\(215\) | 79.9391 | − | 23.4722i | 0.371810 | − | 0.109173i | ||||
\(216\) | −4.04679 | + | 28.1460i | −0.0187351 | + | 0.130306i | ||||
\(217\) | 40.7845 | + | 21.0259i | 0.187947 | + | 0.0968935i | ||||
\(218\) | 102.225 | + | 421.379i | 0.468924 | + | 1.93293i | ||||
\(219\) | 101.858 | − | 106.825i | 0.465104 | − | 0.487787i | ||||
\(220\) | 415.394 | − | 166.299i | 1.88815 | − | 0.755903i | ||||
\(221\) | −445.079 | + | 154.043i | −2.01393 | + | 0.697029i | ||||
\(222\) | 332.801 | − | 171.571i | 1.49910 | − | 0.772842i | ||||
\(223\) | 47.2569 | + | 54.5373i | 0.211914 | + | 0.244562i | 0.851748 | − | 0.523951i | \(-0.175542\pi\) |
−0.639834 | + | 0.768513i | \(0.720997\pi\) | |||||||
\(224\) | −89.7756 | − | 17.3028i | −0.400784 | − | 0.0772448i | ||||
\(225\) | 27.8867 | + | 8.18827i | 0.123941 | + | 0.0363923i | ||||
\(226\) | 76.1752 | − | 166.800i | 0.337058 | − | 0.738055i | ||||
\(227\) | 277.251 | − | 264.358i | 1.22137 | − | 1.16457i | 0.240346 | − | 0.970687i | \(-0.422739\pi\) |
0.981024 | − | 0.193887i | \(-0.0621095\pi\) | |||||||
\(228\) | 9.22114 | − | 14.3484i | 0.0404436 | − | 0.0629314i | ||||
\(229\) | 270.223 | + | 192.425i | 1.18001 | + | 0.840284i | 0.989940 | − | 0.141485i | \(-0.0451879\pi\) |
0.190074 | + | 0.981770i | \(0.439127\pi\) | |||||||
\(230\) | −138.529 | + | 239.940i | −0.602301 | + | 1.04322i | ||||
\(231\) | −67.5181 | + | 38.9816i | −0.292286 | + | 0.168751i | ||||
\(232\) | 10.6424 | − | 111.453i | 0.0458726 | − | 0.480400i | ||||
\(233\) | 20.6562 | + | 107.175i | 0.0886532 | + | 0.459977i | 0.998941 | + | 0.0460014i | \(0.0146479\pi\) |
−0.910288 | + | 0.413975i | \(0.864140\pi\) | |||||||
\(234\) | 151.068 | + | 118.801i | 0.645590 | + | 0.507698i | ||||
\(235\) | 5.99419 | − | 7.62223i | 0.0255072 | − | 0.0324350i | ||||
\(236\) | −228.492 | + | 44.0382i | −0.968187 | + | 0.186603i | ||||
\(237\) | 118.368 | + | 11.3028i | 0.499444 | + | 0.0476911i | ||||
\(238\) | −81.1775 | − | 140.604i | −0.341082 | − | 0.590771i | ||||
\(239\) | −41.8832 | − | 24.1813i | −0.175244 | − | 0.101177i | 0.409812 | − | 0.912170i | \(-0.365594\pi\) |
−0.585056 | + | 0.810993i | \(0.698927\pi\) | |||||||
\(240\) | −23.2730 | + | 32.6824i | −0.0969710 | + | 0.136177i | ||||
\(241\) | 224.528 | + | 144.296i | 0.931653 | + | 0.598737i | 0.916016 | − | 0.401141i | \(-0.131386\pi\) |
0.0156366 | + | 0.999878i | \(0.495023\pi\) | |||||||
\(242\) | −590.790 | − | 619.603i | −2.44128 | − | 2.56034i | ||||
\(243\) | −14.1798 | − | 6.47568i | −0.0583529 | − | 0.0266489i | ||||
\(244\) | 134.826 | − | 459.176i | 0.552567 | − | 1.88187i | ||||
\(245\) | −32.4898 | + | 168.573i | −0.132612 | + | 0.688054i | ||||
\(246\) | 159.412 | − | 138.131i | 0.648016 | − | 0.561509i | ||||
\(247\) | −16.0914 | − | 31.2130i | −0.0651474 | − | 0.126368i | ||||
\(248\) | 36.2694 | + | 104.793i | 0.146247 | + | 0.422554i | ||||
\(249\) | −33.3256 | − | 83.2434i | −0.133838 | − | 0.334311i | ||||
\(250\) | −306.781 | − | 292.516i | −1.22713 | − | 1.17006i | ||||
\(251\) | 356.297 | − | 86.4367i | 1.41951 | − | 0.344369i | 0.548712 | − | 0.836011i | \(-0.315118\pi\) |
0.870797 | + | 0.491642i | \(0.163603\pi\) | |||||||
\(252\) | −17.9060 | + | 34.7328i | −0.0710555 | + | 0.137829i | ||||
\(253\) | 446.104 | + | 64.1400i | 1.76325 | + | 0.253518i | ||||
\(254\) | 147.357 | + | 501.853i | 0.580147 | + | 1.97580i | ||||
\(255\) | −154.905 | + | 14.7916i | −0.607471 | + | 0.0580064i | ||||
\(256\) | −49.1571 | − | 69.0314i | −0.192020 | − | 0.269654i | ||||
\(257\) | 2.87564 | + | 60.3671i | 0.0111893 | + | 0.234892i | 0.997533 | + | 0.0701939i | \(0.0223618\pi\) |
−0.986344 | + | 0.164698i | \(0.947335\pi\) | |||||||
\(258\) | −108.830 | − | 37.6665i | −0.421822 | − | 0.145994i | ||||
\(259\) | 155.151 | − | 22.3074i | 0.599040 | − | 0.0861290i | ||||
\(260\) | −191.818 | − | 420.023i | −0.737761 | − | 1.61547i | ||||
\(261\) | 56.9803 | + | 22.8115i | 0.218315 | + | 0.0874002i | ||||
\(262\) | −350.156 | − | 16.6800i | −1.33647 | − | 0.0636641i | ||||
\(263\) | −124.021 | + | 79.7037i | −0.471564 | + | 0.303056i | −0.754754 | − | 0.656008i | \(-0.772244\pi\) |
0.283190 | + | 0.959064i | \(0.408607\pi\) | |||||||
\(264\) | −183.105 | − | 44.4207i | −0.693578 | − | 0.168260i | ||||
\(265\) | 152.586 | − | 176.094i | 0.575796 | − | 0.664504i | ||||
\(266\) | 9.51538 | − | 7.48298i | 0.0357721 | − | 0.0281315i | ||||
\(267\) | − | 63.5981i | − | 0.238195i | ||||||
\(268\) | 381.599 | + | 54.0527i | 1.42388 | + | 0.201689i | ||||
\(269\) | 303.573 | 1.12852 | 0.564262 | − | 0.825596i | \(-0.309161\pi\) | ||||
0.564262 | + | 0.825596i | \(0.309161\pi\) | |||||||
\(270\) | 39.2512 | + | 49.9120i | 0.145375 | + | 0.184859i | ||||
\(271\) | 31.7406 | + | 27.5034i | 0.117124 | + | 0.101488i | 0.711454 | − | 0.702733i | \(-0.248037\pi\) |
−0.594330 | + | 0.804221i | \(0.702583\pi\) | |||||||
\(272\) | −32.0431 | + | 132.083i | −0.117805 | + | 0.485600i | ||||
\(273\) | 43.4976 | + | 67.6836i | 0.159332 | + | 0.247925i | ||||
\(274\) | 15.4514 | − | 324.364i | 0.0563918 | − | 1.18381i | ||||
\(275\) | −71.5749 | + | 178.785i | −0.260272 | + | 0.650129i | ||||
\(276\) | 205.482 | − | 93.8404i | 0.744499 | − | 0.340001i | ||||
\(277\) | −55.4252 | − | 385.491i | −0.200091 | − | 1.39166i | −0.804009 | − | 0.594617i | \(-0.797304\pi\) |
0.603918 | − | 0.797046i | \(-0.293605\pi\) | |||||||
\(278\) | −31.8321 | + | 91.9729i | −0.114504 | + | 0.330838i | ||||
\(279\) | −60.7229 | + | 2.89259i | −0.217645 | + | 0.0103677i | ||||
\(280\) | 39.4982 | − | 28.1265i | 0.141065 | − | 0.100452i | ||||
\(281\) | 37.9428 | + | 397.355i | 0.135028 | + | 1.41408i | 0.768272 | + | 0.640124i | \(0.221117\pi\) |
−0.633244 | + | 0.773952i | \(0.718277\pi\) | |||||||
\(282\) | −12.8609 | + | 3.77630i | −0.0456060 | + | 0.0133911i | ||||
\(283\) | 43.3319 | − | 301.380i | 0.153116 | − | 1.06495i | −0.757839 | − | 0.652441i | \(-0.773745\pi\) |
0.910955 | − | 0.412505i | \(-0.135346\pi\) | |||||||
\(284\) | −653.604 | − | 336.956i | −2.30142 | − | 1.18647i | ||||
\(285\) | −2.73535 | − | 11.2753i | −0.00959773 | − | 0.0395624i | ||||
\(286\) | −878.773 | + | 921.630i | −3.07263 | + | 3.22248i | ||||
\(287\) | 81.9782 | − | 32.8191i | 0.285638 | − | 0.114352i | ||||
\(288\) | 114.467 | − | 39.6175i | 0.397455 | − | 0.137561i | ||||
\(289\) | −211.661 | + | 109.119i | −0.732391 | + | 0.377574i | ||||
\(290\) | −163.720 | − | 188.944i | −0.564553 | − | 0.651529i | ||||
\(291\) | −28.8303 | − | 5.55659i | −0.0990732 | − | 0.0190948i | ||||
\(292\) | 470.352 | + | 138.108i | 1.61079 | + | 0.472972i | ||||
\(293\) | 30.7317 | − | 67.2931i | 0.104886 | − | 0.229669i | −0.849911 | − | 0.526926i | \(-0.823344\pi\) |
0.954798 | + | 0.297257i | \(0.0960717\pi\) | |||||||
\(294\) | 171.746 | − | 163.760i | 0.584171 | − | 0.557006i | ||||
\(295\) | −85.5795 | + | 133.164i | −0.290100 | + | 0.451405i | ||||
\(296\) | 308.573 | + | 219.734i | 1.04248 | + | 0.742344i | ||||
\(297\) | 51.6452 | − | 89.4521i | 0.173890 | − | 0.301186i | ||||
\(298\) | 186.757 | − | 107.824i | 0.626702 | − | 0.361827i | ||||
\(299\) | 44.2105 | − | 462.993i | 0.147861 | − | 1.54847i | ||||
\(300\) | 18.2675 | + | 94.7809i | 0.0608917 | + | 0.315936i | ||||
\(301\) | −37.8970 | − | 29.8025i | −0.125904 | − | 0.0990116i | ||||
\(302\) | 389.526 | − | 495.322i | 1.28982 | − | 1.64014i | ||||
\(303\) | 94.6829 | − | 18.2486i | 0.312485 | − | 0.0602265i | ||||
\(304\) | −10.0880 | − | 0.963284i | −0.0331841 | − | 0.00316870i | ||||
\(305\) | −162.771 | − | 281.928i | −0.533676 | − | 0.924353i | ||||
\(306\) | 186.280 | + | 107.549i | 0.608759 | + | 0.351467i | ||||
\(307\) | −201.698 | + | 283.245i | −0.656995 | + | 0.922621i | −0.999859 | − | 0.0167642i | \(-0.994664\pi\) |
0.342864 | + | 0.939385i | \(0.388603\pi\) | |||||||
\(308\) | −217.822 | − | 139.986i | −0.707215 | − | 0.454499i | ||||
\(309\) | 127.391 | + | 133.603i | 0.412267 | + | 0.432374i | ||||
\(310\) | 225.247 | + | 102.867i | 0.726605 | + | 0.331829i | ||||
\(311\) | −138.121 | + | 470.397i | −0.444119 | + | 1.51253i | 0.368441 | + | 0.929651i | \(0.379892\pi\) |
−0.812559 | + | 0.582878i | \(0.801926\pi\) | |||||||
\(312\) | −36.7979 | + | 190.926i | −0.117942 | + | 0.611941i | ||||
\(313\) | −248.263 | + | 215.121i | −0.793173 | + | 0.687288i | −0.954037 | − | 0.299688i | \(-0.903117\pi\) |
0.160864 | + | 0.986977i | \(0.448572\pi\) | |||||||
\(314\) | 157.613 | + | 305.727i | 0.501953 | + | 0.973653i | ||||
\(315\) | 8.69413 | + | 25.1200i | 0.0276004 | + | 0.0797461i | ||||
\(316\) | 146.771 | + | 366.616i | 0.464465 | + | 1.16018i | ||||
\(317\) | 270.212 | + | 257.646i | 0.852403 | + | 0.812765i | 0.983931 | − | 0.178548i | \(-0.0571398\pi\) |
−0.131528 | + | 0.991312i | \(0.541988\pi\) | |||||||
\(318\) | −313.002 | + | 75.9335i | −0.984283 | + | 0.238785i | ||||
\(319\) | −186.355 | + | 361.479i | −0.584185 | + | 1.13316i | ||||
\(320\) | −396.662 | − | 57.0314i | −1.23957 | − | 0.178223i | ||||
\(321\) | −2.42393 | − | 8.25515i | −0.00755118 | − | 0.0257170i | ||||
\(322\) | 159.601 | − | 15.2400i | 0.495655 | − | 0.0473293i | ||||
\(323\) | −22.7981 | − | 32.0155i | −0.0705825 | − | 0.0991192i | ||||
\(324\) | −2.46338 | − | 51.7126i | −0.00760301 | − | 0.159607i | ||||
\(325\) | 187.807 | + | 65.0006i | 0.577867 | + | 0.200002i | ||||
\(326\) | 58.3542 | − | 8.39006i | 0.179000 | − | 0.0257364i | ||||
\(327\) | −99.9029 | − | 218.757i | −0.305514 | − | 0.668981i | ||||
\(328\) | 198.119 | + | 79.3149i | 0.604021 | + | 0.241814i | ||||
\(329\) | −5.60496 | − | 0.266997i | −0.0170364 | − | 0.000811542i | ||||
\(330\) | −353.946 | + | 227.467i | −1.07256 | + | 0.689294i | ||||
\(331\) | −602.780 | − | 146.233i | −1.82109 | − | 0.441791i | −0.828158 | − | 0.560494i | \(-0.810611\pi\) |
−0.992930 | + | 0.118703i | \(0.962126\pi\) | |||||||
\(332\) | 195.013 | − | 225.057i | 0.587389 | − | 0.677883i | ||||
\(333\) | −163.238 | + | 128.372i | −0.490204 | + | 0.385501i | ||||
\(334\) | − | 739.013i | − | 2.21261i | ||||||
\(335\) | 205.744 | − | 162.496i | 0.614162 | − | 0.485061i | ||||
\(336\) | 23.2176 | 0.0691000 | ||||||||
\(337\) | −201.536 | − | 256.273i | −0.598029 | − | 0.760455i | 0.388958 | − | 0.921255i | \(-0.372835\pi\) |
−0.986987 | + | 0.160800i | \(0.948593\pi\) | |||||||
\(338\) | 594.309 | + | 514.971i | 1.75831 | + | 1.52358i | ||||
\(339\) | −23.9776 | + | 98.8369i | −0.0707303 | + | 0.291554i | ||||
\(340\) | −279.403 | − | 434.759i | −0.821773 | − | 1.27870i | ||||
\(341\) | 19.1665 | − | 402.355i | 0.0562068 | − | 1.17993i | ||||
\(342\) | −5.96065 | + | 14.8890i | −0.0174288 | + | 0.0435350i | ||||
\(343\) | 191.295 | − | 87.3616i | 0.557712 | − | 0.254698i | ||||
\(344\) | −16.5818 | − | 115.329i | −0.0482028 | − | 0.335258i | ||||
\(345\) | 50.2592 | − | 145.214i | 0.145679 | − | 0.420911i | ||||
\(346\) | −893.081 | + | 42.5427i | −2.58116 | + | 0.122956i | ||||
\(347\) | 243.730 | − | 173.559i | 0.702391 | − | 0.500170i | −0.172182 | − | 0.985065i | \(-0.555082\pi\) |
0.874572 | + | 0.484895i | \(0.161142\pi\) | |||||||
\(348\) | 19.3762 | + | 202.917i | 0.0556789 | + | 0.583096i | ||||
\(349\) | −188.026 | + | 55.2094i | −0.538756 | + | 0.158193i | −0.539780 | − | 0.841806i | \(-0.681492\pi\) |
0.00102345 | + | 0.999999i | \(0.499674\pi\) | |||||||
\(350\) | −9.74967 | + | 67.8105i | −0.0278562 | + | 0.193744i | ||||
\(351\) | −94.7432 | − | 48.8435i | −0.269924 | − | 0.139155i | ||||
\(352\) | 189.223 | + | 779.987i | 0.537565 | + | 2.21587i | ||||
\(353\) | −472.496 | + | 495.539i | −1.33852 | + | 1.40379i | −0.492817 | + | 0.870133i | \(0.664033\pi\) |
−0.845698 | + | 0.533661i | \(0.820816\pi\) | |||||||
\(354\) | 203.133 | − | 81.3222i | 0.573822 | − | 0.229724i | ||||
\(355\) | −472.710 | + | 163.607i | −1.33158 | + | 0.460864i | ||||
\(356\) | 187.738 | − | 96.7855i | 0.527353 | − | 0.271869i | ||||
\(357\) | 58.9685 | + | 68.0533i | 0.165178 | + | 0.190626i | ||||
\(358\) | 267.555 | + | 51.5669i | 0.747360 | + | 0.144042i | ||||
\(359\) | 565.590 | + | 166.072i | 1.57546 | + | 0.462597i | 0.948585 | − | 0.316523i | \(-0.102516\pi\) |
0.626875 | + | 0.779120i | \(0.284334\pi\) | |||||||
\(360\) | −26.6869 | + | 58.4361i | −0.0741303 | + | 0.162323i | ||||
\(361\) | −259.147 | + | 247.096i | −0.717859 | + | 0.684477i | ||||
\(362\) | −14.2621 | + | 22.1922i | −0.0393980 | + | 0.0613045i | ||||
\(363\) | 386.787 | + | 275.430i | 1.06553 | + | 0.758760i | ||||
\(364\) | −133.602 | + | 231.405i | −0.367038 | + | 0.635728i | ||||
\(365\) | 288.789 | − | 166.733i | 0.791204 | − | 0.456802i | ||||
\(366\) | −42.7747 | + | 447.956i | −0.116871 | + | 1.22392i | ||||
\(367\) | −69.6564 | − | 361.412i | −0.189799 | − | 0.984773i | −0.944452 | − | 0.328649i | \(-0.893407\pi\) |
0.754653 | − | 0.656124i | \(-0.227805\pi\) | |||||||
\(368\) | −105.501 | − | 82.9673i | −0.286689 | − | 0.225455i | ||||
\(369\) | −72.3184 | + | 91.9603i | −0.195985 | + | 0.249215i | ||||
\(370\) | 830.613 | − | 160.088i | 2.24490 | − | 0.432669i | ||||
\(371\) | −134.224 | − | 12.8168i | −0.361789 | − | 0.0345467i | ||||
\(372\) | −100.949 | − | 174.848i | −0.271367 | − | 0.470022i | ||||
\(373\) | 362.264 | + | 209.153i | 0.971217 | + | 0.560732i | 0.899607 | − | 0.436700i | \(-0.143853\pi\) |
0.0716100 | + | 0.997433i | \(0.477186\pi\) | |||||||
\(374\) | −826.730 | + | 1160.98i | −2.21051 | + | 3.10422i | ||||
\(375\) | 197.780 | + | 127.106i | 0.527414 | + | 0.338948i | ||||
\(376\) | −9.35818 | − | 9.81458i | −0.0248888 | − | 0.0261026i | ||||
\(377\) | 381.763 | + | 174.345i | 1.01263 | + | 0.462454i | ||||
\(378\) | 10.3520 | − | 35.2557i | 0.0273863 | − | 0.0932691i | ||||
\(379\) | −74.1146 | + | 384.543i | −0.195553 | + | 1.01463i | 0.742948 | + | 0.669349i | \(0.233427\pi\) |
−0.938501 | + | 0.345276i | \(0.887785\pi\) | |||||||
\(380\) | 29.1212 | − | 25.2336i | 0.0766347 | − | 0.0664043i | ||||
\(381\) | −132.929 | − | 257.847i | −0.348896 | − | 0.676764i | ||||
\(382\) | −77.5901 | − | 224.182i | −0.203116 | − | 0.586864i | ||||
\(383\) | −157.568 | − | 393.586i | −0.411405 | − | 1.02764i | −0.978914 | − | 0.204273i | \(-0.934517\pi\) |
0.567509 | − | 0.823367i | \(-0.307907\pi\) | |||||||
\(384\) | 198.452 | + | 189.223i | 0.516802 | + | 0.492769i | ||||
\(385\) | −171.170 | + | 41.5253i | −0.444597 | + | 0.107858i | ||||
\(386\) | 12.1889 | − | 23.6432i | 0.0315775 | − | 0.0612519i | ||||
\(387\) | 63.2237 | + | 9.09019i | 0.163369 | + | 0.0234889i | ||||
\(388\) | −27.4721 | − | 93.5614i | −0.0708044 | − | 0.241138i | ||||
\(389\) | 36.3333 | − | 3.46941i | 0.0934017 | − | 0.00891879i | −0.0482505 | − | 0.998835i | \(-0.515365\pi\) |
0.141652 | + | 0.989916i | \(0.454759\pi\) | |||||||
\(390\) | 251.853 | + | 353.678i | 0.645777 | + | 0.906867i | ||||
\(391\) | −24.7687 | − | 519.958i | −0.0633470 | − | 1.32982i | ||||
\(392\) | 226.884 | + | 78.5253i | 0.578785 | + | 0.200320i | ||||
\(393\) | 192.449 | − | 27.6701i | 0.489693 | − | 0.0704073i | ||||
\(394\) | −105.456 | − | 230.917i | −0.267655 | − | 0.586084i | ||||
\(395\) | 249.391 | + | 99.8413i | 0.631371 | + | 0.252763i | ||||
\(396\) | 342.652 | + | 16.3225i | 0.865283 | + | 0.0412185i | ||||
\(397\) | 208.726 | − | 134.140i | 0.525759 | − | 0.337885i | −0.250687 | − | 0.968068i | \(-0.580657\pi\) |
0.776447 | + | 0.630183i | \(0.217020\pi\) | |||||||
\(398\) | −241.350 | − | 58.5508i | −0.606407 | − | 0.147113i | ||||
\(399\) | −4.39672 | + | 5.07409i | −0.0110194 | + | 0.0127170i | ||||
\(400\) | 45.0808 | − | 35.4520i | 0.112702 | − | 0.0886299i | ||||
\(401\) | − | 559.163i | − | 1.39442i | −0.716867 | − | 0.697210i | \(-0.754424\pi\) | ||
0.716867 | − | 0.697210i | \(-0.245576\pi\) | |||||||
\(402\) | −361.955 | + | 17.9995i | −0.900384 | + | 0.0447750i | ||||
\(403\) | −415.689 | −1.03149 | ||||||||
\(404\) | 197.960 | + | 251.727i | 0.490000 | + | 0.623086i | ||||
\(405\) | −26.6156 | − | 23.0626i | −0.0657175 | − | 0.0569446i | ||||
\(406\) | −34.1081 | + | 140.595i | −0.0840100 | + | 0.346294i | ||||
\(407\) | −743.935 | − | 1157.59i | −1.82785 | − | 2.84419i | ||||
\(408\) | −10.3548 | + | 217.374i | −0.0253794 | + | 0.532779i | ||||
\(409\) | 59.8576 | − | 149.517i | 0.146351 | − | 0.365567i | −0.837021 | − | 0.547171i | \(-0.815705\pi\) |
0.983372 | + | 0.181604i | \(0.0581289\pi\) | |||||||
\(410\) | 433.475 | − | 197.961i | 1.05726 | − | 0.482832i | ||||
\(411\) | 25.6319 | + | 178.274i | 0.0623647 | + | 0.433756i | ||||
\(412\) | −200.522 | + | 579.371i | −0.486704 | + | 1.40624i | ||||
\(413\) | 91.4963 | − | 4.35851i | 0.221541 | − | 0.0105533i | ||||
\(414\) | −173.025 | + | 123.210i | −0.417934 | + | 0.297610i | ||||
\(415\) | −19.2559 | − | 201.657i | −0.0463998 | − | 0.485921i | ||||
\(416\) | 794.720 | − | 233.351i | 1.91039 | − | 0.560940i | ||||
\(417\) | 7.68216 | − | 53.4306i | 0.0184225 | − | 0.128131i | ||||
\(418\) | −94.4546 | − | 48.6947i | −0.225968 | − | 0.116495i | ||||
\(419\) | 13.7093 | + | 56.5104i | 0.0327190 | + | 0.134870i | 0.985829 | − | 0.167756i | \(-0.0536520\pi\) |
−0.953110 | + | 0.302625i | \(0.902137\pi\) | |||||||
\(420\) | −60.9218 | + | 63.8929i | −0.145052 | + | 0.152126i | ||||
\(421\) | 412.398 | − | 165.099i | 0.979569 | − | 0.392160i | 0.174054 | − | 0.984736i | \(-0.444313\pi\) |
0.805515 | + | 0.592576i | \(0.201889\pi\) | |||||||
\(422\) | 395.504 | − | 136.885i | 0.937213 | − | 0.324372i | ||||
\(423\) | 6.60780 | − | 3.40656i | 0.0156213 | − | 0.00805332i | ||||
\(424\) | −213.392 | − | 246.267i | −0.503282 | − | 0.580818i | ||||
\(425\) | 218.411 | + | 42.0952i | 0.513908 | + | 0.0990476i | ||||
\(426\) | 663.444 | + | 194.805i | 1.55738 | + | 0.457288i | ||||
\(427\) | −78.2572 | + | 171.359i | −0.183272 | + | 0.401310i | ||||
\(428\) | 20.6799 | − | 19.7182i | 0.0483174 | − | 0.0460706i | ||||
\(429\) | 381.850 | − | 594.170i | 0.890092 | − | 1.38501i | ||||
\(430\) | −211.936 | − | 150.919i | −0.492874 | − | 0.350974i | ||||
\(431\) | 317.894 | − | 550.608i | 0.737572 | − | 1.27751i | −0.216013 | − | 0.976390i | \(-0.569305\pi\) |
0.953586 | − | 0.301122i | \(-0.0973613\pi\) | |||||||
\(432\) | −26.6390 | + | 15.3800i | −0.0616644 | + | 0.0356020i | ||||
\(433\) | 37.8604 | − | 396.492i | 0.0874375 | − | 0.915686i | −0.840218 | − | 0.542249i | \(-0.817573\pi\) |
0.927655 | − | 0.373438i | \(-0.121821\pi\) | |||||||
\(434\) | −27.1186 | − | 140.705i | −0.0624853 | − | 0.324205i | ||||
\(435\) | 108.996 | + | 85.7156i | 0.250566 | + | 0.197047i | ||||
\(436\) | 493.721 | − | 627.818i | 1.13239 | − | 1.43995i | ||||
\(437\) | 38.1109 | − | 7.34528i | 0.0872104 | − | 0.0168084i | ||||
\(438\) | −458.859 | − | 43.8157i | −1.04762 | − | 0.100036i | ||||
\(439\) | 427.257 | + | 740.032i | 0.973252 | + | 1.68572i | 0.685588 | + | 0.727990i | \(0.259545\pi\) |
0.287664 | + | 0.957732i | \(0.407122\pi\) | |||||||
\(440\) | −368.641 | − | 212.835i | −0.837820 | − | 0.483715i | ||||
\(441\) | −76.3457 | + | 107.213i | −0.173120 | + | 0.243112i | ||||
\(442\) | 1237.33 | + | 795.186i | 2.79940 | + | 1.79906i | ||||
\(443\) | −147.637 | − | 154.837i | −0.333267 | − | 0.349520i | 0.535684 | − | 0.844419i | \(-0.320054\pi\) |
−0.868951 | + | 0.494898i | \(0.835205\pi\) | |||||||
\(444\) | −627.365 | − | 286.508i | −1.41298 | − | 0.645289i | ||||
\(445\) | 40.4796 | − | 137.861i | 0.0909655 | − | 0.309800i | ||||
\(446\) | 42.6491 | − | 221.284i | 0.0956257 | − | 0.496153i | ||||
\(447\) | −90.3921 | + | 78.3252i | −0.202220 | + | 0.175224i | ||||
\(448\) | 106.262 | + | 206.120i | 0.237193 | + | 0.460090i | ||||
\(449\) | 282.058 | + | 814.952i | 0.628191 | + | 1.81504i | 0.577603 | + | 0.816318i | \(0.303988\pi\) |
0.0505873 | + | 0.998720i | \(0.483891\pi\) | |||||||
\(450\) | −33.7333 | − | 84.2617i | −0.0749629 | − | 0.187248i | ||||
\(451\) | −561.028 | − | 534.939i | −1.24396 | − | 1.18612i | ||||
\(452\) | −328.250 | + | 79.6326i | −0.726217 | + | 0.176178i | ||||
\(453\) | −160.148 | + | 310.644i | −0.353528 | + | 0.685748i | ||||
\(454\) | −1184.15 | − | 170.255i | −2.60826 | − | 0.375010i | ||||
\(455\) | 51.2093 | + | 174.403i | 0.112548 | + | 0.383303i | ||||
\(456\) | −16.1524 | + | 1.54237i | −0.0354219 | + | 0.00338238i | ||||
\(457\) | 461.719 | + | 648.393i | 1.01033 | + | 1.41880i | 0.905516 | + | 0.424311i | \(0.139484\pi\) |
0.104809 | + | 0.994492i | \(0.466577\pi\) | |||||||
\(458\) | −49.2933 | − | 1034.79i | −0.107627 | − | 2.25938i | ||||
\(459\) | −112.739 | − | 39.0193i | −0.245619 | − | 0.0850095i | ||||
\(460\) | 505.149 | − | 72.6295i | 1.09815 | − | 0.157890i | ||||
\(461\) | 245.726 | + | 538.066i | 0.533029 | + | 1.16717i | 0.964267 | + | 0.264933i | \(0.0853497\pi\) |
−0.431238 | + | 0.902238i | \(0.641923\pi\) | |||||||
\(462\) | 226.029 | + | 90.4884i | 0.489241 | + | 0.195862i | ||||
\(463\) | 342.263 | + | 16.3040i | 0.739229 | + | 0.0352138i | 0.413819 | − | 0.910359i | \(-0.364195\pi\) |
0.325410 | + | 0.945573i | \(0.394498\pi\) | |||||||
\(464\) | 101.886 | − | 65.4784i | 0.219583 | − | 0.141117i | ||||
\(465\) | −133.470 | − | 32.3794i | −0.287031 | − | 0.0696330i | ||||
\(466\) | 223.211 | − | 257.599i | 0.478994 | − | 0.552788i | ||||
\(467\) | −449.204 | + | 353.258i | −0.961894 | + | 0.756442i | −0.969894 | − | 0.243526i | \(-0.921696\pi\) |
0.00800057 | + | 0.999968i | \(0.497453\pi\) | |||||||
\(468\) | − | 354.007i | − | 0.756426i | ||||||
\(469\) | −145.657 | − | 42.4387i | −0.310570 | − | 0.0904877i | ||||
\(470\) | −30.2820 | −0.0644298 | ||||||||
\(471\) | −117.928 | − | 149.958i | −0.250379 | − | 0.318383i | ||||
\(472\) | 167.302 | + | 144.968i | 0.354454 | + | 0.307136i | ||||
\(473\) | −99.7810 | + | 411.303i | −0.210954 | + | 0.869562i | ||||
\(474\) | −200.757 | − | 312.383i | −0.423537 | − | 0.659036i | ||||
\(475\) | −0.789123 | + | 16.5657i | −0.00166131 | + | 0.0348752i | ||||
\(476\) | −111.149 | + | 277.637i | −0.233506 | + | 0.583271i | ||||
\(477\) | 162.494 | − | 74.2084i | 0.340658 | − | 0.155573i | ||||
\(478\) | 21.4939 | + | 149.493i | 0.0449662 | + | 0.312747i | ||||
\(479\) | 25.3244 | − | 73.1699i | 0.0528692 | − | 0.152756i | −0.915475 | − | 0.402376i | \(-0.868185\pi\) |
0.968344 | + | 0.249620i | \(0.0803057\pi\) | |||||||
\(480\) | 273.346 | − | 13.0211i | 0.569470 | − | 0.0271272i | ||||
\(481\) | −1156.71 | + | 823.689i | −2.40480 | + | 1.71245i | ||||
\(482\) | −79.2281 | − | 829.714i | −0.164374 | − | 1.72140i | ||||
\(483\) | −85.3206 | + | 25.0524i | −0.176647 | + | 0.0518683i | ||||
\(484\) | −224.427 | + | 1560.93i | −0.463693 | + | 3.22506i | ||||
\(485\) | −58.9584 | − | 30.3952i | −0.121564 | − | 0.0626705i | ||||
\(486\) | 11.4769 | + | 47.3086i | 0.0236151 | + | 0.0973428i | ||||
\(487\) | −131.789 | + | 138.216i | −0.270614 | + | 0.283812i | −0.844993 | − | 0.534778i | \(-0.820395\pi\) |
0.574379 | + | 0.818590i | \(0.305244\pi\) | |||||||
\(488\) | −422.659 | + | 169.207i | −0.866104 | + | 0.346736i | ||||
\(489\) | −30.8996 | + | 10.6945i | −0.0631894 | + | 0.0218701i | ||||
\(490\) | 476.524 | − | 245.665i | 0.972499 | − | 0.501358i | ||||
\(491\) | −504.499 | − | 582.223i | −1.02749 | − | 1.18579i | −0.982397 | − | 0.186807i | \(-0.940186\pi\) |
−0.0450961 | − | 0.998983i | \(-0.514359\pi\) | |||||||
\(492\) | −381.517 | − | 73.5314i | −0.775441 | − | 0.149454i | ||||
\(493\) | 450.697 | + | 132.337i | 0.914193 | + | 0.268431i | ||||
\(494\) | −45.5565 | + | 99.7549i | −0.0922197 | + | 0.201933i | ||||
\(495\) | 168.886 | − | 161.033i | 0.341184 | − | 0.325319i | ||||
\(496\) | −64.8542 | + | 100.915i | −0.130754 | + | 0.203458i | ||||
\(497\) | 235.792 | + | 167.907i | 0.474431 | + | 0.337841i | ||||
\(498\) | −140.008 | + | 242.502i | −0.281142 | + | 0.486951i | ||||
\(499\) | −95.7201 | + | 55.2640i | −0.191824 | + | 0.110750i | −0.592836 | − | 0.805323i | \(-0.701992\pi\) |
0.401012 | + | 0.916073i | \(0.368658\pi\) | |||||||
\(500\) | −74.2200 | + | 777.267i | −0.148440 | + | 1.55453i | ||||
\(501\) | 77.5705 | + | 402.474i | 0.154831 | + | 0.803341i | ||||
\(502\) | −899.988 | − | 707.758i | −1.79280 | − | 1.40988i | ||||
\(503\) | 130.552 | − | 166.010i | 0.259546 | − | 0.330040i | −0.638763 | − | 0.769404i | \(-0.720554\pi\) |
0.898309 | + | 0.439364i | \(0.144796\pi\) | |||||||
\(504\) | 36.5032 | − | 7.03541i | 0.0724269 | − | 0.0139591i | ||||
\(505\) | 216.858 | + | 20.7075i | 0.429422 | + | 0.0410049i | ||||
\(506\) | −703.726 | − | 1218.89i | −1.39076 | − | 2.40887i | ||||
\(507\) | −377.721 | − | 218.077i | −0.745011 | − | 0.430132i | ||||
\(508\) | 558.852 | − | 784.798i | 1.10010 | − | 1.54488i | ||||
\(509\) | −767.230 | − | 493.068i | −1.50733 | − | 0.968700i | −0.993866 | − | 0.110587i | \(-0.964727\pi\) |
−0.513461 | − | 0.858113i | \(-0.671637\pi\) | |||||||
\(510\) | 335.344 | + | 351.698i | 0.657537 | + | 0.689605i | ||||
\(511\) | −175.530 | − | 80.1619i | −0.343503 | − | 0.156873i | ||||
\(512\) | 103.847 | − | 353.670i | 0.202826 | − | 0.690763i | ||||
\(513\) | 1.68341 | − | 8.73435i | 0.00328150 | − | 0.0170260i | ||||
\(514\) | 142.635 | − | 123.594i | 0.277500 | − | 0.240455i | ||||
\(515\) | 191.106 | + | 370.694i | 0.371080 | + | 0.719794i | ||||
\(516\) | 69.3819 | + | 200.466i | 0.134461 | + | 0.388500i | ||||
\(517\) | 18.3080 | + | 45.7312i | 0.0354120 | + | 0.0884549i | ||||
\(518\) | −354.269 | − | 337.794i | −0.683916 | − | 0.652113i | ||||
\(519\) | 481.915 | − | 116.911i | 0.928546 | − | 0.225263i | ||||
\(520\) | −201.289 | + | 390.446i | −0.387094 | + | 0.750857i | ||||
\(521\) | −350.462 | − | 50.3889i | −0.672672 | − | 0.0967157i | −0.202489 | − | 0.979284i | \(-0.564903\pi\) |
−0.470183 | + | 0.882569i | \(0.655812\pi\) | |||||||
\(522\) | −54.0003 | − | 183.908i | −0.103449 | − | 0.352315i | ||||
\(523\) | 49.0381 | − | 4.68257i | 0.0937630 | − | 0.00895328i | −0.0480691 | − | 0.998844i | \(-0.515307\pi\) |
0.141832 | + | 0.989891i | \(0.454701\pi\) | |||||||
\(524\) | 374.555 | + | 525.989i | 0.714800 | + | 1.00380i | ||||
\(525\) | −1.80795 | − | 37.9536i | −0.00344372 | − | 0.0722926i | ||||
\(526\) | 435.068 | + | 150.578i | 0.827125 | + | 0.286271i | ||||
\(527\) | −460.511 | + | 66.2115i | −0.873835 | + | 0.125639i | ||||
\(528\) | −84.6694 | − | 185.400i | −0.160359 | − | 0.351137i | ||||
\(529\) | −13.8833 | − | 5.55805i | −0.0262445 | − | 0.0105067i | ||||
\(530\) | −726.822 | − | 34.6228i | −1.37136 | − | 0.0653261i | ||||
\(531\) | −102.092 | + | 65.6108i | −0.192264 | + | 0.123561i | ||||
\(532\) | −21.6694 | − | 5.25695i | −0.0407320 | − | 0.00988149i | ||||
\(533\) | −523.867 | + | 604.575i | −0.982865 | + | 1.13429i | ||||
\(534\) | −156.117 | + | 122.772i | −0.292355 | + | 0.229910i | ||||
\(535\) | − | 19.4374i | − | 0.0363316i | ||||||
\(536\) | −183.988 | − | 317.146i | −0.343262 | − | 0.591690i | ||||
\(537\) | −151.126 | −0.281426 | ||||||||
\(538\) | −586.028 | − | 745.195i | −1.08927 | − | 1.38512i | ||||
\(539\) | −659.096 | − | 571.110i | −1.22281 | − | 1.05957i | ||||
\(540\) | 27.5748 | − | 113.665i | 0.0510644 | − | 0.210490i | ||||
\(541\) | −126.815 | − | 197.328i | −0.234408 | − | 0.364746i | 0.704044 | − | 0.710157i | \(-0.251376\pi\) |
−0.938452 | + | 0.345411i | \(0.887740\pi\) | |||||||
\(542\) | 6.24070 | − | 131.009i | 0.0115142 | − | 0.241713i | ||||
\(543\) | 5.43787 | − | 13.5831i | 0.0100145 | − | 0.0250150i | ||||
\(544\) | 843.244 | − | 385.097i | 1.55008 | − | 0.707898i | ||||
\(545\) | −77.3217 | − | 537.784i | −0.141875 | − | 0.986761i | ||||
\(546\) | 82.1768 | − | 237.434i | 0.150507 | − | 0.434861i | ||||
\(547\) | 518.373 | − | 24.6931i | 0.947665 | − | 0.0451428i | 0.431945 | − | 0.901900i | \(-0.357827\pi\) |
0.515720 | + | 0.856757i | \(0.327524\pi\) | |||||||
\(548\) | −487.245 | + | 346.966i | −0.889134 | + | 0.633149i | ||||
\(549\) | −23.7242 | − | 248.451i | −0.0432135 | − | 0.452553i | ||||
\(550\) | 577.044 | − | 169.435i | 1.04917 | − | 0.308064i | ||||
\(551\) | −4.98428 | + | 34.6664i | −0.00904587 | + | 0.0629154i | ||||
\(552\) | −191.012 | − | 98.4737i | −0.346037 | − | 0.178394i | ||||
\(553\) | −36.6492 | − | 151.070i | −0.0662734 | − | 0.273183i | ||||
\(554\) | −839.288 | + | 880.220i | −1.51496 | + | 1.58884i | ||||
\(555\) | −435.557 | + | 174.371i | −0.784787 | + | 0.314181i | ||||
\(556\) | 169.415 | − | 58.6350i | 0.304703 | − | 0.105459i | ||||
\(557\) | 235.945 | − | 121.638i | 0.423600 | − | 0.218381i | −0.233227 | − | 0.972422i | \(-0.574928\pi\) |
0.656827 | + | 0.754041i | \(0.271898\pi\) | |||||||
\(558\) | 124.322 | + | 143.475i | 0.222800 | + | 0.257124i | ||||
\(559\) | 428.871 | + | 82.6581i | 0.767211 | + | 0.147868i | ||||
\(560\) | 50.3285 | + | 14.7778i | 0.0898724 | + | 0.0263889i | ||||
\(561\) | 328.383 | − | 719.059i | 0.585353 | − | 1.28174i | ||||
\(562\) | 902.161 | − | 860.209i | 1.60527 | − | 1.53062i | ||||
\(563\) | 323.364 | − | 503.165i | 0.574359 | − | 0.893720i | −0.425578 | − | 0.904922i | \(-0.639929\pi\) |
0.999937 | + | 0.0112014i | \(0.00356558\pi\) | |||||||
\(564\) | 20.1119 | + | 14.3216i | 0.0356593 | + | 0.0253929i | ||||
\(565\) | −114.885 | + | 198.986i | −0.203336 | + | 0.352188i | ||||
\(566\) | −823.461 | + | 475.425i | −1.45488 | + | 0.839974i | ||||
\(567\) | −1.93719 | + | 20.2872i | −0.00341657 | + | 0.0357799i | ||||
\(568\) | 132.393 | + | 686.919i | 0.233086 | + | 1.20936i | ||||
\(569\) | 89.2324 | + | 70.1731i | 0.156823 | + | 0.123327i | 0.693487 | − | 0.720469i | \(-0.256073\pi\) |
−0.536664 | + | 0.843796i | \(0.680316\pi\) | |||||||
\(570\) | −22.3975 | + | 28.4808i | −0.0392939 | + | 0.0499663i | ||||
\(571\) | −36.4515 | + | 7.02545i | −0.0638380 | + | 0.0123038i | −0.221070 | − | 0.975258i | \(-0.570955\pi\) |
0.157232 | + | 0.987562i | \(0.449743\pi\) | |||||||
\(572\) | 2335.06 | + | 222.971i | 4.08227 | + | 0.389810i | ||||
\(573\) | 65.7876 | + | 113.948i | 0.114813 | + | 0.198861i | ||||
\(574\) | −238.816 | − | 137.881i | −0.416056 | − | 0.240210i | ||||
\(575\) | −127.411 | + | 178.923i | −0.221584 | + | 0.311171i | ||||
\(576\) | −258.462 | − | 166.103i | −0.448718 | − | 0.288374i | ||||
\(577\) | −667.033 | − | 699.564i | −1.15604 | − | 1.21242i | −0.973370 | − | 0.229241i | \(-0.926376\pi\) |
−0.182667 | − | 0.983175i | \(-0.558473\pi\) | |||||||
\(578\) | 676.456 | + | 308.927i | 1.17034 | + | 0.534476i | ||||
\(579\) | −4.15650 | + | 14.1557i | −0.00717876 | + | 0.0244486i | ||||
\(580\) | −87.1533 | + | 452.194i | −0.150264 | + | 0.779646i | ||||
\(581\) | −88.5926 | + | 76.7659i | −0.152483 | + | 0.132127i | ||||
\(582\) | 42.0150 | + | 81.4977i | 0.0721907 | + | 0.140030i | ||||
\(583\) | 387.138 | + | 1118.56i | 0.664044 | + | 1.91863i | ||||
\(584\) | −173.325 | − | 432.946i | −0.296790 | − | 0.741345i | ||||
\(585\) | −174.285 | − | 166.181i | −0.297924 | − | 0.284070i | ||||
\(586\) | −224.513 | + | 54.4663i | −0.383128 | + | 0.0929459i | ||||
\(587\) | −110.699 | + | 214.727i | −0.188585 | + | 0.365804i | −0.964106 | − | 0.265518i | \(-0.914457\pi\) |
0.775521 | + | 0.631322i | \(0.217487\pi\) | |||||||
\(588\) | −432.670 | − | 62.2085i | −0.735833 | − | 0.105797i | ||||
\(589\) | −9.77303 | − | 33.2839i | −0.0165926 | − | 0.0565091i | ||||
\(590\) | 492.090 | − | 46.9889i | 0.834052 | − | 0.0796423i | ||||
\(591\) | 81.6707 | + | 114.690i | 0.138191 | + | 0.194062i | ||||
\(592\) | 19.4983 | + | 409.319i | 0.0329362 | + | 0.691417i | ||||
\(593\) | −538.123 | − | 186.246i | −0.907458 | − | 0.314074i | −0.166827 | − | 0.985986i | \(-0.553352\pi\) |
−0.740631 | + | 0.671912i | \(0.765473\pi\) | |||||||
\(594\) | −319.280 | + | 45.9055i | −0.537508 | + | 0.0772820i | ||||
\(595\) | 84.5102 | + | 185.051i | 0.142034 | + | 0.311011i | ||||
\(596\) | −368.772 | − | 147.634i | −0.618746 | − | 0.247708i | ||||
\(597\) | 137.587 | + | 6.55409i | 0.230465 | + | 0.0109784i | ||||
\(598\) | −1221.88 | + | 785.253i | −2.04327 | + | 1.31313i | ||||
\(599\) | −579.661 | − | 140.624i | −0.967715 | − | 0.234765i | −0.279398 | − | 0.960175i | \(-0.590135\pi\) |
−0.688317 | + | 0.725410i | \(0.741650\pi\) | |||||||
\(600\) | 60.1343 | − | 69.3987i | 0.100224 | − | 0.115664i | ||||
\(601\) | 232.401 | − | 182.762i | 0.386690 | − | 0.304097i | −0.405823 | − | 0.913952i | \(-0.633015\pi\) |
0.792513 | + | 0.609855i | \(0.208772\pi\) | |||||||
\(602\) | 150.559i | 0.250098i | ||||||||
\(603\) | 195.235 | − | 47.7953i | 0.323772 | − | 0.0792625i | ||||
\(604\) | −1160.72 | −1.92172 | ||||||||
\(605\) | 663.126 | + | 843.233i | 1.09608 | + | 1.39377i | ||||
\(606\) | −227.575 | − | 197.195i | −0.375536 | − | 0.325404i | ||||
\(607\) | 191.818 | − | 790.687i | 0.316011 | − | 1.30261i | −0.563255 | − | 0.826283i | \(-0.690451\pi\) |
0.879266 | − | 0.476331i | \(-0.158034\pi\) | |||||||
\(608\) | 37.3685 | + | 58.1464i | 0.0614613 | + | 0.0956356i | ||||
\(609\) | 3.81801 | − | 80.1498i | 0.00626930 | − | 0.131609i | ||||
\(610\) | −377.843 | + | 943.805i | −0.619414 | + | 1.54722i | ||||
\(611\) | 46.2407 | − | 21.1174i | 0.0756804 | − | 0.0345621i | ||||
\(612\) | −56.3868 | − | 392.179i | −0.0921353 | − | 0.640815i | ||||
\(613\) | 96.7154 | − | 279.441i | 0.157774 | − | 0.455858i | −0.838215 | − | 0.545341i | \(-0.816400\pi\) |
0.995988 | + | 0.0894831i | \(0.0285215\pi\) | |||||||
\(614\) | 1084.66 | − | 51.6686i | 1.76654 | − | 0.0841508i | ||||
\(615\) | −215.296 | + | 153.311i | −0.350074 | + | 0.249287i | ||||
\(616\) | 23.4146 | + | 245.209i | 0.0380107 | + | 0.398067i | ||||
\(617\) | 268.868 | − | 78.9466i | 0.435766 | − | 0.127952i | −0.0564896 | − | 0.998403i | \(-0.517991\pi\) |
0.492255 | + | 0.870451i | \(0.336173\pi\) | |||||||
\(618\) | 82.0434 | − | 570.625i | 0.132756 | − | 0.923341i | ||||
\(619\) | −231.906 | − | 119.556i | −0.374646 | − | 0.193143i | 0.260612 | − | 0.965444i | \(-0.416076\pi\) |
−0.635258 | + | 0.772300i | \(0.719106\pi\) | |||||||
\(620\) | −107.536 | − | 443.269i | −0.173445 | − | 0.714950i | ||||
\(621\) | 81.2983 | − | 85.2632i | 0.130915 | − | 0.137300i | ||||
\(622\) | 1421.34 | − | 569.018i | 2.28511 | − | 0.914820i | ||||
\(623\) | −78.5718 | + | 27.1940i | −0.126118 | + | 0.0436500i | ||||
\(624\) | −186.953 | + | 96.3810i | −0.299604 | + | 0.154457i | ||||
\(625\) | 189.217 | + | 218.368i | 0.302748 | + | 0.349389i | ||||
\(626\) | 1007.32 | + | 194.146i | 1.60914 | + | 0.310137i | ||||
\(627\) | 56.5522 | + | 16.6052i | 0.0901948 | + | 0.0264836i | ||||
\(628\) | 263.200 | − | 576.328i | 0.419109 | − | 0.917720i | ||||
\(629\) | −1150.24 | + | 1096.75i | −1.82867 | + | 1.74364i | ||||
\(630\) | 44.8799 | − | 69.8345i | 0.0712379 | − | 0.110848i | ||||
\(631\) | 888.646 | + | 632.802i | 1.40831 | + | 1.00286i | 0.995766 | + | 0.0919204i | \(0.0293005\pi\) |
0.412548 | + | 0.910936i | \(0.364639\pi\) | |||||||
\(632\) | 187.843 | − | 325.353i | 0.297219 | − | 0.514799i | ||||
\(633\) | −201.027 | + | 116.063i | −0.317578 | + | 0.183354i | ||||
\(634\) | 110.831 | − | 1160.67i | 0.174812 | − | 1.83071i | ||||
\(635\) | −124.032 | − | 643.541i | −0.195326 | − | 1.01345i | ||||
\(636\) | 466.346 | + | 366.739i | 0.733248 | + | 0.576633i | ||||
\(637\) | −556.337 | + | 707.440i | −0.873371 | + | 1.11058i | ||||
\(638\) | 1247.08 | − | 240.356i | 1.95468 | − | 0.376733i | ||||
\(639\) | −381.766 | − | 36.4542i | −0.597443 | − | 0.0570489i | ||||
\(640\) | 309.743 | + | 536.491i | 0.483973 | + | 0.838266i | ||||
\(641\) | −87.8381 | − | 50.7134i | −0.137033 | − | 0.0791160i | 0.429916 | − | 0.902869i | \(-0.358543\pi\) |
−0.566949 | + | 0.823753i | \(0.691876\pi\) | |||||||
\(642\) | −15.5851 | + | 21.8862i | −0.0242758 | + | 0.0340906i | ||||
\(643\) | 368.663 | + | 236.926i | 0.573349 | + | 0.368469i | 0.794956 | − | 0.606667i | \(-0.207494\pi\) |
−0.221607 | + | 0.975136i | \(0.571130\pi\) | |||||||
\(644\) | −203.796 | − | 213.736i | −0.316454 | − | 0.331887i | ||||
\(645\) | 131.264 | + | 59.9460i | 0.203509 | + | 0.0929396i | ||||
\(646\) | −34.5797 | + | 117.768i | −0.0535289 | + | 0.182303i | ||||
\(647\) | −40.6760 | + | 211.047i | −0.0628687 | + | 0.326194i | −0.999723 | − | 0.0235255i | \(-0.992511\pi\) |
0.936855 | + | 0.349719i | \(0.113723\pi\) | |||||||
\(648\) | −37.2219 | + | 32.2530i | −0.0574413 | + | 0.0497731i | ||||
\(649\) | −368.471 | − | 714.734i | −0.567752 | − | 1.10129i | ||||
\(650\) | −202.989 | − | 586.497i | −0.312290 | − | 0.902304i | ||||
\(651\) | 29.5382 | + | 73.7828i | 0.0453735 | + | 0.113338i | ||||
\(652\) | −78.5932 | − | 74.9385i | −0.120542 | − | 0.114936i | ||||
\(653\) | −361.960 | + | 87.8105i | −0.554303 | + | 0.134472i | −0.503119 | − | 0.864217i | \(-0.667814\pi\) |
−0.0511833 | + | 0.998689i | \(0.516299\pi\) | |||||||
\(654\) | −344.137 | + | 667.532i | −0.526203 | + | 1.02069i | ||||
\(655\) | 434.783 | + | 62.5123i | 0.663790 | + | 0.0954386i | ||||
\(656\) | 65.0384 | + | 221.501i | 0.0991440 | + | 0.337653i | ||||
\(657\) | 254.498 | − | 24.3016i | 0.387364 | − | 0.0369888i | ||||
\(658\) | 10.1646 | + | 14.2742i | 0.0154477 | + | 0.0216933i | ||||
\(659\) | 8.10267 | + | 170.096i | 0.0122954 | + | 0.258112i | 0.996643 | + | 0.0818731i | \(0.0260902\pi\) |
−0.984347 | + | 0.176239i | \(0.943607\pi\) | |||||||
\(660\) | 732.374 | + | 253.477i | 1.10966 | + | 0.384056i | ||||
\(661\) | −449.329 | + | 64.6037i | −0.679771 | + | 0.0977363i | −0.473547 | − | 0.880769i | \(-0.657027\pi\) |
−0.206224 | + | 0.978505i | \(0.566118\pi\) | |||||||
\(662\) | 804.663 | + | 1761.97i | 1.21550 | + | 2.66158i | ||||
\(663\) | −757.331 | − | 303.190i | −1.14228 | − | 0.457300i | ||||
\(664\) | −282.980 | − | 13.4800i | −0.426174 | − | 0.0203012i | ||||
\(665\) | −12.7603 | + | 8.20058i | −0.0191885 | + | 0.0123317i | ||||
\(666\) | 630.240 | + | 152.895i | 0.946307 | + | 0.229572i | ||||
\(667\) | −303.762 | + | 350.560i | −0.455415 | + | 0.525577i | ||||
\(668\) | −1070.03 | + | 841.479i | −1.60184 | + | 1.25970i | ||||
\(669\) | 124.990i | 0.186832i | ||||||||
\(670\) | −796.062 | − | 191.363i | −1.18815 | − | 0.285617i | ||||
\(671\) | 1653.75 | 2.46460 | ||||||||
\(672\) | −97.8902 | − | 124.477i | −0.145670 | − | 0.185234i | ||||
\(673\) | −76.5591 | − | 66.3388i | −0.113758 | − | 0.0985718i | 0.596124 | − | 0.802892i | \(-0.296706\pi\) |
−0.709882 | + | 0.704320i | \(0.751252\pi\) | |||||||
\(674\) | −240.035 | + | 989.438i | −0.356135 | + | 1.46801i | ||||
\(675\) | 27.2160 | + | 42.3490i | 0.0403200 | + | 0.0627392i | ||||
\(676\) | 68.9235 | − | 1446.88i | 0.101958 | − | 2.14036i | ||||
\(677\) | 2.23571 | − | 5.58453i | 0.00330238 | − | 0.00824894i | −0.926708 | − | 0.375783i | \(-0.877374\pi\) |
0.930010 | + | 0.367534i | \(0.119798\pi\) | |||||||
\(678\) | 288.907 | − | 131.939i | 0.426116 | − | 0.194601i | ||||
\(679\) | 5.46273 | + | 37.9941i | 0.00804525 | + | 0.0559560i | ||||
\(680\) | −160.802 | + | 464.608i | −0.236474 | + | 0.683247i | ||||
\(681\) | 662.770 | − | 31.5716i | 0.973230 | − | 0.0463607i | ||||
\(682\) | −1024.68 | + | 729.671i | −1.50246 | + | 1.06990i | ||||
\(683\) | 69.2186 | + | 724.890i | 0.101345 | + | 1.06133i | 0.892906 | + | 0.450242i | \(0.148662\pi\) |
−0.791561 | + | 0.611090i | \(0.790731\pi\) | |||||||
\(684\) | 28.3451 | − | 8.32287i | 0.0414402 | − | 0.0121679i | ||||
\(685\) | −57.9077 | + | 402.757i | −0.0845368 | + | 0.587966i | ||||
\(686\) | −583.733 | − | 300.935i | −0.850923 | − | 0.438681i | ||||
\(687\) | 135.463 | + | 558.385i | 0.197180 | + | 0.812788i | ||||
\(688\) | 86.9774 | − | 91.2193i | 0.126421 | − | 0.132586i | ||||
\(689\) | 1134.00 | − | 453.987i | 1.64587 | − | 0.658907i | ||||
\(690\) | −453.487 | + | 156.953i | −0.657227 | + | 0.227468i | ||||
\(691\) | −768.639 | + | 396.261i | −1.11236 | + | 0.573460i | −0.913610 | − | 0.406591i | \(-0.866718\pi\) |
−0.198747 | + | 0.980051i | \(0.563687\pi\) | |||||||
\(692\) | 1078.51 | + | 1244.66i | 1.55854 | + | 1.79865i | ||||
\(693\) | −132.596 | − | 25.5558i | −0.191336 | − | 0.0368770i | ||||
\(694\) | −896.548 | − | 263.250i | −1.29186 | − | 0.379323i | ||||
\(695\) | 50.6607 | − | 110.931i | 0.0728930 | − | 0.159613i | ||||
\(696\) | 140.346 | − | 133.820i | 0.201647 | − | 0.192270i | ||||
\(697\) | −484.057 | + | 753.207i | −0.694486 | + | 1.08064i | ||||
\(698\) | 498.497 | + | 354.978i | 0.714179 | + | 0.508564i | ||||
\(699\) | −94.5241 | + | 163.721i | −0.135228 | + | 0.234221i | ||||
\(700\) | 109.285 | − | 63.0959i | 0.156122 | − | 0.0901370i | ||||
\(701\) | 61.8951 | − | 648.195i | 0.0882955 | − | 0.924672i | −0.837447 | − | 0.546518i | \(-0.815953\pi\) |
0.925743 | − | 0.378154i | \(-0.123441\pi\) | |||||||
\(702\) | 62.9971 | + | 326.860i | 0.0897394 | + | 0.465612i | ||||
\(703\) | −93.1469 | − | 73.2516i | −0.132499 | − | 0.104199i | ||||
\(704\) | 1258.42 | − | 1600.21i | 1.78753 | − | 2.27303i | ||||
\(705\) | 16.4919 | − | 3.17855i | 0.0233928 | − | 0.00450859i | ||||
\(706\) | 2128.55 | + | 203.252i | 3.01494 | + | 0.287892i | ||||
\(707\) | −63.0307 | − | 109.172i | −0.0891523 | − | 0.154416i | ||||
\(708\) | −349.046 | − | 201.522i | −0.493003 | − | 0.284635i | ||||
\(709\) | 656.673 | − | 922.168i | 0.926196 | − | 1.30066i | −0.0274170 | − | 0.999624i | \(-0.508728\pi\) |
0.953613 | − | 0.301036i | \(-0.0973324\pi\) | |||||||
\(710\) | 1314.15 | + | 844.553i | 1.85091 | + | 1.18951i | ||||
\(711\) | 142.123 | + | 149.055i | 0.199892 | + | 0.209641i | ||||
\(712\) | −182.780 | − | 83.4727i | −0.256713 | − | 0.117237i | ||||
\(713\) | 129.438 | − | 440.825i | 0.181540 | − | 0.618268i | ||||
\(714\) | 53.2188 | − | 276.125i | 0.0745361 | − | 0.386730i | ||||
\(715\) | 1205.92 | − | 1044.93i | 1.68659 | − | 1.46144i | ||||
\(716\) | −229.987 | − | 446.113i | −0.321212 | − | 0.623063i | ||||
\(717\) | −27.3973 | − | 79.1594i | −0.0382110 | − | 0.110404i | ||||
\(718\) | −684.169 | − | 1708.97i | −0.952882 | − | 2.38018i | ||||
\(719\) | 1011.59 | + | 964.550i | 1.40694 | + | 1.34152i | 0.865621 | + | 0.500700i | \(0.166924\pi\) |
0.541321 | + | 0.840816i | \(0.317924\pi\) | |||||||
\(720\) | −67.5344 | + | 16.3837i | −0.0937978 | + | 0.0227551i | ||||
\(721\) | 110.588 | − | 214.511i | 0.153382 | − | 0.297519i | ||||
\(722\) | 1106.83 | + | 159.137i | 1.53300 | + | 0.220412i | ||||
\(723\) | 130.239 | + | 443.554i | 0.180137 | + | 0.613491i | ||||
\(724\) | 48.3721 | − | 4.61897i | 0.0668122 | − | 0.00637980i | ||||
\(725\) | −114.971 | − | 161.454i | −0.158581 | − | 0.222695i | ||||
\(726\) | −70.5565 | − | 1481.16i | −0.0971853 | − | 2.04017i | ||||
\(727\) | 343.513 | + | 118.891i | 0.472507 | + | 0.163536i | 0.552935 | − | 0.833224i | \(-0.313508\pi\) |
−0.0804284 | + | 0.996760i | \(0.525629\pi\) | |||||||
\(728\) | 251.612 | − | 36.1763i | 0.345621 | − | 0.0496928i | ||||
\(729\) | −11.2162 | − | 24.5601i | −0.0153857 | − | 0.0336901i | ||||
\(730\) | −966.776 | − | 387.039i | −1.32435 | − | 0.530190i | ||||
\(731\) | 488.281 | + | 23.2597i | 0.667963 | + | 0.0318190i | ||||
\(732\) | 697.309 | − | 448.133i | 0.952607 | − | 0.612204i | ||||
\(733\) | −635.914 | − | 154.271i | −0.867549 | − | 0.210465i | −0.222805 | − | 0.974863i | \(-0.571521\pi\) |
−0.644745 | + | 0.764398i | \(0.723036\pi\) | |||||||
\(734\) | −752.707 | + | 868.671i | −1.02549 | + | 1.18348i | ||||
\(735\) | −233.734 | + | 183.810i | −0.318005 | + | 0.250082i | ||||
\(736\) | 915.437i | 1.24380i | ||||||||
\(737\) | 192.293 | + | 1317.89i | 0.260913 | + | 1.78818i | ||||
\(738\) | 365.345 | 0.495048 | ||||||||
\(739\) | −52.5984 | − | 66.8843i | −0.0711751 | − | 0.0905065i | 0.749162 | − | 0.662387i | \(-0.230457\pi\) |
−0.820337 | + | 0.571880i | \(0.806214\pi\) | |||||||
\(740\) | −1177.57 | − | 1020.37i | −1.59132 | − | 1.37888i | ||||
\(741\) | 14.3398 | − | 59.1094i | 0.0193519 | − | 0.0797697i | ||||
\(742\) | 227.648 | + | 354.227i | 0.306803 | + | 0.477395i | ||||
\(743\) | 11.1168 | − | 233.371i | 0.0149621 | − | 0.314093i | −0.978963 | − | 0.204037i | \(-0.934594\pi\) |
0.993925 | − | 0.110056i | \(-0.0351032\pi\) | |||||||
\(744\) | −71.3857 | + | 178.313i | −0.0959485 | + | 0.239668i | ||||
\(745\) | −245.795 | + | 112.251i | −0.329927 | + | 0.150672i | ||||
\(746\) | −185.909 | − | 1293.02i | −0.249207 | − | 1.73327i | ||||
\(747\) | 50.7958 | − | 146.765i | 0.0679998 | − | 0.196472i | ||||
\(748\) | 2622.36 | − | 124.918i | 3.50583 | − | 0.167003i | ||||
\(749\) | −9.16230 | + | 6.52445i | −0.0122327 | + | 0.00871088i | ||||
\(750\) | −69.7896 | − | 730.869i | −0.0930528 | − | 0.974492i | ||||
\(751\) | −1219.38 | + | 358.043i | −1.62368 | + | 0.476756i | −0.962004 | − | 0.273034i | \(-0.911973\pi\) |
−0.661676 | + | 0.749790i | \(0.730155\pi\) | |||||||
\(752\) | 2.08771 | − | 14.5203i | 0.00277621 | − | 0.0193090i | ||||
\(753\) | 564.432 | + | 290.985i | 0.749578 | + | 0.386434i | ||||
\(754\) | −308.995 | − | 1273.69i | −0.409807 | − | 1.68925i | ||||
\(755\) | −544.873 | + | 571.447i | −0.721687 | + | 0.756883i | ||||
\(756\) | −62.8346 | + | 25.1552i | −0.0831146 | + | 0.0332741i | ||||
\(757\) | 718.854 | − | 248.798i | 0.949610 | − | 0.328663i | 0.192018 | − | 0.981391i | \(-0.438497\pi\) |
0.757592 | + | 0.652728i | \(0.226376\pi\) | |||||||
\(758\) | 1087.03 | − | 560.403i | 1.43408 | − | 0.739317i | ||||
\(759\) | 511.197 | + | 589.953i | 0.673514 | + | 0.777277i | ||||
\(760\) | −35.9951 | − | 6.93748i | −0.0473620 | − | 0.00912827i | ||||
\(761\) | −1169.05 | − | 343.265i | −1.53621 | − | 0.451071i | −0.599264 | − | 0.800551i | \(-0.704540\pi\) |
−0.936944 | + | 0.349480i | \(0.886358\pi\) | |||||||
\(762\) | −376.338 | + | 824.065i | −0.493881 | + | 1.08145i | ||||
\(763\) | −227.544 | + | 216.963i | −0.298223 | + | 0.284355i | ||||
\(764\) | −236.248 | + | 367.609i | −0.309225 | + | 0.481164i | ||||
\(765\) | −219.548 | − | 156.339i | −0.286990 | − | 0.204365i | ||||
\(766\) | −661.980 | + | 1146.58i | −0.864203 | + | 1.49684i | ||||
\(767\) | −718.655 | + | 414.916i | −0.936969 | + | 0.540959i | ||||
\(768\) | 13.9526 | − | 146.118i | 0.0181675 | − | 0.190258i | ||||
\(769\) | 122.031 | + | 633.159i | 0.158689 | + | 0.823354i | 0.970807 | + | 0.239862i | \(0.0771021\pi\) |
−0.812119 | + | 0.583493i | \(0.801686\pi\) | |||||||
\(770\) | 432.366 | + | 340.016i | 0.561514 | + | 0.441580i | ||||
\(771\) | −64.7073 | + | 82.2821i | −0.0839265 | + | 0.106721i | ||||
\(772\) | −48.1123 | + | 9.27289i | −0.0623217 | + | 0.0120115i | ||||
\(773\) | −939.434 | − | 89.7051i | −1.21531 | − | 0.116048i | −0.532363 | − | 0.846516i | \(-0.678696\pi\) |
−0.682947 | + | 0.730468i | \(0.739302\pi\) | |||||||
\(774\) | −99.7351 | − | 172.746i | −0.128857 | − | 0.223186i | ||||
\(775\) | 170.015 | + | 98.1584i | 0.219375 | + | 0.126656i | ||||
\(776\) | −53.8094 | + | 75.5647i | −0.0693420 | + | 0.0973771i | ||||
\(777\) | 228.395 | + | 146.780i | 0.293944 | + | 0.188907i | ||||
\(778\) | −78.6555 | − | 82.4916i | −0.101100 | − | 0.106030i | ||||
\(779\) | −60.7242 | − | 27.7318i | −0.0779515 | − | 0.0355992i | ||||
\(780\) | 225.323 | − | 767.378i | 0.288875 | − | 0.983818i | ||||
\(781\) | 480.910 | − | 2495.20i | 0.615762 | − | 3.19488i | ||||
\(782\) | −1228.55 | + | 1064.55i | −1.57104 | + | 1.36131i | ||||
\(783\) | 48.7130 | + | 94.4901i | 0.0622133 | + | 0.120677i | ||||
\(784\) | 84.9448 | + | 245.432i | 0.108348 | + | 0.313051i | ||||
\(785\) | −160.185 | − | 400.123i | −0.204058 | − | 0.509711i | ||||
\(786\) | −439.434 | − | 419.000i | −0.559076 | − | 0.533078i | ||||
\(787\) | −181.704 | + | 44.0808i | −0.230881 | + | 0.0560112i | −0.349530 | − | 0.936925i | \(-0.613659\pi\) |
0.118649 | + | 0.992936i | \(0.462144\pi\) | |||||||
\(788\) | −214.270 | + | 415.626i | −0.271916 | + | 0.527444i | ||||
\(789\) | −252.748 | − | 36.3396i | −0.320339 | − | 0.0460578i | ||||
\(790\) | −236.349 | − | 804.930i | −0.299176 | − | 1.01890i | ||||
\(791\) | 132.360 | − | 12.6388i | 0.167332 | − | 0.0159783i | ||||
\(792\) | −189.299 | − | 265.833i | −0.239014 | − | 0.335648i | ||||
\(793\) | −81.2041 | − | 1704.68i | −0.102401 | − | 2.14967i | ||||
\(794\) | −732.213 | − | 253.422i | −0.922183 | − | 0.319171i | ||||
\(795\) | 399.469 | − | 57.4350i | 0.502477 | − | 0.0722452i | ||||
\(796\) | 190.037 | + | 416.123i | 0.238740 | + | 0.522768i | ||||
\(797\) | −510.687 | − | 204.448i | −0.640762 | − | 0.256522i | 0.0284484 | − | 0.999595i | \(-0.490943\pi\) |
−0.669211 | + | 0.743073i | \(0.733368\pi\) | |||||||
\(798\) | 20.9432 | + | 0.997647i | 0.0262446 | + | 0.00125018i | ||||
\(799\) | 47.8631 | − | 30.7598i | 0.0599038 | − | 0.0384978i | ||||
\(800\) | −380.140 | − | 92.2210i | −0.475175 | − | 0.115276i | ||||
\(801\) | 72.1363 | − | 83.2497i | 0.0900578 | − | 0.103932i | ||||
\(802\) | −1372.60 | + | 1079.43i | −1.71147 | + | 1.34592i | ||||
\(803\) | 1694.00i | 2.10959i | ||||||||
\(804\) | 438.202 | + | 503.584i | 0.545028 | + | 0.626349i | ||||
\(805\) | −200.894 | −0.249558 | ||||||||
\(806\) | 802.460 | + | 1020.41i | 0.995608 | + | 1.26602i | ||||
\(807\) | 397.376 | + | 344.328i | 0.492411 | + | 0.426677i | ||||
\(808\) | 71.8254 | − | 296.068i | 0.0888928 | − | 0.366421i | ||||
\(809\) | −411.676 | − | 640.580i | −0.508870 | − | 0.791817i | 0.487834 | − | 0.872936i | \(-0.337787\pi\) |
−0.996704 | + | 0.0811189i | \(0.974151\pi\) | |||||||
\(810\) | −5.23305 | + | 109.855i | −0.00646056 | + | 0.135624i | ||||
\(811\) | 252.472 | − | 630.644i | 0.311309 | − | 0.777613i | −0.687374 | − | 0.726304i | \(-0.741236\pi\) |
0.998683 | − | 0.0513088i | \(-0.0163393\pi\) | |||||||
\(812\) | 242.407 | − | 110.704i | 0.298531 | − | 0.136335i | ||||
\(813\) | 10.3526 | + | 72.0036i | 0.0127338 | + | 0.0885653i | ||||
\(814\) | −1405.46 | + | 4060.81i | −1.72661 | + | 4.98871i | ||||
\(815\) | −73.7877 | + | 3.51494i | −0.0905370 | + | 0.00431281i | ||||
\(816\) | −191.760 | + | 136.552i | −0.235000 | + | 0.167343i | ||||
\(817\) | 3.46458 | + | 36.2827i | 0.00424061 | + | 0.0444097i | ||||
\(818\) | −482.578 | + | 141.698i | −0.589948 | + | 0.173224i | ||||
\(819\) | −19.8320 | + | 137.935i | −0.0242149 | + | 0.168419i | ||||
\(820\) | −780.209 | − | 402.226i | −0.951474 | − | 0.490519i | ||||
\(821\) | 140.138 | + | 577.656i | 0.170692 | + | 0.703601i | 0.991246 | + | 0.132032i | \(0.0421500\pi\) |
−0.820554 | + | 0.571569i | \(0.806335\pi\) | |||||||
\(822\) | 388.136 | − | 407.066i | 0.472185 | − | 0.495214i | ||||
\(823\) | 995.892 | − | 398.695i | 1.21007 | − | 0.484441i | 0.323147 | − | 0.946349i | \(-0.395259\pi\) |
0.886928 | + | 0.461908i | \(0.152835\pi\) | |||||||
\(824\) | 551.174 | − | 190.763i | 0.668901 | − | 0.231509i | ||||
\(825\) | −296.479 | + | 152.846i | −0.359369 | + | 0.185267i | ||||
\(826\) | −187.327 | − | 216.187i | −0.226788 | − | 0.261727i | ||||
\(827\) | −568.347 | − | 109.540i | −0.687239 | − | 0.132455i | −0.166335 | − | 0.986069i | \(-0.553193\pi\) |
−0.520905 | + | 0.853615i | \(0.674405\pi\) | |||||||
\(828\) | 375.414 | + | 110.231i | 0.453398 | + | 0.133130i | ||||
\(829\) | −230.365 | + | 504.429i | −0.277883 | + | 0.608479i | −0.996186 | − | 0.0872510i | \(-0.972192\pi\) |
0.718303 | + | 0.695730i | \(0.244919\pi\) | |||||||
\(830\) | −457.845 | + | 436.555i | −0.551621 | + | 0.525969i | ||||
\(831\) | 364.692 | − | 567.472i | 0.438860 | − | 0.682879i | ||||
\(832\) | −1711.29 | − | 1218.61i | −2.05684 | − | 1.46467i | ||||
\(833\) | −503.643 | + | 872.335i | −0.604614 | + | 1.04722i | ||||
\(834\) | −145.989 | + | 84.2865i | −0.175046 | + | 0.101063i | ||||
\(835\) | −88.0223 | + | 921.811i | −0.105416 | + | 1.10397i | ||||
\(836\) | 37.0452 | + | 192.209i | 0.0443124 | + | 0.229915i | ||||
\(837\) | −82.7670 | − | 65.0887i | −0.0988853 | − | 0.0777643i | ||||
\(838\) | 112.254 | − | 142.742i | 0.133954 | − | 0.170337i | ||||
\(839\) | 614.636 | − | 118.461i | 0.732581 | − | 0.141193i | 0.190700 | − | 0.981648i | \(-0.438924\pi\) |
0.541881 | + | 0.840455i | \(0.317712\pi\) | |||||||
\(840\) | 83.6055 | + | 7.98336i | 0.0995304 | + | 0.00950400i | ||||
\(841\) | 211.216 | + | 365.837i | 0.251148 | + | 0.435002i | ||||
\(842\) | −1201.39 | − | 693.620i | −1.42682 | − | 0.823777i | ||||
\(843\) | −401.034 | + | 563.174i | −0.475723 | + | 0.668059i | ||||
\(844\) | −648.540 | − | 416.791i | −0.768412 | − | 0.493828i | ||||
\(845\) | −679.977 | − | 713.139i | −0.804706 | − | 0.843952i | ||||
\(846\) | −21.1182 | − | 9.64434i | −0.0249624 | − | 0.0113999i | ||||
\(847\) | 174.891 | − | 595.624i | 0.206483 | − | 0.703216i | ||||
\(848\) | 66.7105 | − | 346.127i | 0.0786680 | − | 0.408169i | ||||
\(849\) | 398.562 | − | 345.356i | 0.469449 | − | 0.406780i | ||||
\(850\) | −318.295 | − | 617.405i | −0.374464 | − | 0.726359i | ||||
\(851\) | −513.318 | − | 1483.14i | −0.603194 | − | 1.74282i | ||||
\(852\) | −473.372 | − | 1182.43i | −0.555601 | − | 1.38782i | ||||
\(853\) | −924.828 | − | 881.822i | −1.08421 | − | 1.03379i | −0.999300 | − | 0.0373996i | \(-0.988093\pi\) |
−0.0849059 | − | 0.996389i | \(-0.527059\pi\) | |||||||
\(854\) | 571.714 | − | 138.696i | 0.669455 | − | 0.162408i | ||||
\(855\) | 9.20844 | − | 17.8619i | 0.0107701 | − | 0.0208911i | ||||
\(856\) | −26.9065 | − | 3.86858i | −0.0314329 | − | 0.00451936i | ||||
\(857\) | 78.4922 | + | 267.320i | 0.0915895 | + | 0.311925i | 0.992527 | − | 0.122023i | \(-0.0389382\pi\) |
−0.900938 | + | 0.433948i | \(0.857120\pi\) | |||||||
\(858\) | −2195.67 | + | 209.661i | −2.55906 | + | 0.244360i | ||||
\(859\) | 911.512 | + | 1280.04i | 1.06113 | + | 1.49015i | 0.859803 | + | 0.510627i | \(0.170587\pi\) |
0.201329 | + | 0.979524i | \(0.435474\pi\) | |||||||
\(860\) | 22.8037 | + | 478.709i | 0.0265160 | + | 0.556638i | ||||
\(861\) | 144.534 | + | 50.0238i | 0.167868 | + | 0.0580997i | ||||
\(862\) | −1965.28 | + | 282.564i | −2.27990 | + | 0.327801i | ||||
\(863\) | 62.8434 | + | 137.608i | 0.0728197 | + | 0.159453i | 0.942541 | − | 0.334090i | \(-0.108429\pi\) |
−0.869722 | + | 0.493543i | \(0.835702\pi\) | |||||||
\(864\) | 194.773 | + | 77.9755i | 0.225432 | + | 0.0902494i | ||||
\(865\) | 1119.06 | + | 53.3072i | 1.29371 | + | 0.0616268i | ||||
\(866\) | −1046.38 | + | 672.465i | −1.20829 | + | 0.776518i | ||||
\(867\) | −400.832 | − | 97.2407i | −0.462320 | − | 0.112158i | ||||
\(868\) | −172.850 | + | 199.479i | −0.199136 | + | 0.229815i | ||||
\(869\) | −1072.69 | + | 843.575i | −1.23440 | + | 0.970742i | ||||
\(870\) | − | 433.027i | − | 0.497732i | ||||||
\(871\) | 1349.04 | − | 262.928i | 1.54884 | − | 0.301869i | ||||
\(872\) | −759.826 | −0.871360 | ||||||||
\(873\) | −31.4362 | − | 39.9744i | −0.0360094 | − | 0.0457897i | ||||
\(874\) | −91.6014 | − | 79.3731i | −0.104807 | − | 0.0908159i | ||||
\(875\) | 72.4626 | − | 298.695i | 0.0828145 | − | 0.341366i | ||||
\(876\) | 459.040 | + | 714.280i | 0.524018 | + | 0.815388i | ||||
\(877\) | 3.93247 | − | 82.5527i | 0.00448400 | − | 0.0941308i | −0.995516 | − | 0.0945945i | \(-0.969845\pi\) |
1.00000 | 0.000463675i | \(0.000147592\pi\) | ||||||||
\(878\) | 991.798 | − | 2477.39i | 1.12961 | − | 2.82163i | ||||
\(879\) | 116.555 | − | 53.2289i | 0.132600 | − | 0.0605562i | ||||
\(880\) | −65.5315 | − | 455.781i | −0.0744676 | − | 0.517934i | ||||
\(881\) | −317.950 | + | 918.656i | −0.360897 | + | 1.04274i | 0.607713 | + | 0.794157i | \(0.292087\pi\) |
−0.968610 | + | 0.248586i | \(0.920034\pi\) | |||||||
\(882\) | 410.560 | − | 19.5574i | 0.465488 | − | 0.0221739i | ||||
\(883\) | −415.766 | + | 296.065i | −0.470856 | + | 0.335295i | −0.790730 | − | 0.612165i | \(-0.790299\pi\) |
0.319874 | + | 0.947460i | \(0.396359\pi\) | |||||||
\(884\) | −257.532 | − | 2696.99i | −0.291326 | − | 3.05090i | ||||
\(885\) | −263.065 | + | 77.2429i | −0.297249 | + | 0.0872801i | ||||
\(886\) | −95.0829 | + | 661.316i | −0.107317 | + | 0.746406i | ||||
\(887\) | 211.257 | + | 108.910i | 0.238170 | + | 0.122785i | 0.573180 | − | 0.819429i | \(-0.305709\pi\) |
−0.335010 | + | 0.942214i | \(0.608740\pi\) | |||||||
\(888\) | 154.688 | + | 637.631i | 0.174198 | + | 0.718053i | ||||
\(889\) | −261.716 | + | 274.479i | −0.294393 | + | 0.308751i | ||||
\(890\) | −416.557 | + | 166.764i | −0.468042 | + | 0.187376i | ||||
\(891\) | 169.065 | − | 58.5138i | 0.189747 | − | 0.0656721i | ||||
\(892\) | −368.963 | + | 190.214i | −0.413636 | + | 0.213244i | ||||
\(893\) | 2.77800 | + | 3.20598i | 0.00311086 | + | 0.00359012i | ||||
\(894\) | 366.765 | + | 70.6881i | 0.410251 | + | 0.0790695i | ||||
\(895\) | −327.594 | − | 96.1902i | −0.366026 | − | 0.107475i | ||||
\(896\) | 148.918 | − | 326.086i | 0.166204 | − | 0.363935i | ||||
\(897\) | 583.022 | − | 555.911i | 0.649969 | − | 0.619745i | ||||
\(898\) | 1456.01 | − | 2265.59i | 1.62139 | − | 2.52293i | ||||
\(899\) | 337.706 | + | 240.479i | 0.375646 | + | 0.267496i | ||||
\(900\) | −83.5933 | + | 144.788i | −0.0928815 | + | 0.160875i | ||||
\(901\) | 1183.97 | − | 683.565i | 1.31406 | − | 0.758673i | ||||
\(902\) | −230.112 | + | 2409.85i | −0.255113 | + | 2.67167i | ||||
\(903\) | −15.8034 | − | 81.9961i | −0.0175011 | − | 0.0908041i | ||||
\(904\) | 252.585 | + | 198.635i | 0.279408 | + | 0.219729i | ||||
\(905\) | 20.4332 | − | 25.9829i | 0.0225781 | − | 0.0287104i | ||||
\(906\) | 1071.71 | − | 206.555i | 1.18290 | − | 0.227985i | ||||
\(907\) | −627.152 | − | 59.8858i | −0.691458 | − | 0.0660262i | −0.256590 | − | 0.966520i | \(-0.582599\pi\) |
−0.434868 | + | 0.900494i | \(0.643205\pi\) | |||||||
\(908\) | 1101.82 | + | 1908.41i | 1.21346 | + | 2.10177i | ||||
\(909\) | 144.638 | + | 83.5069i | 0.159118 | + | 0.0918668i | ||||
\(910\) | 329.259 | − | 462.379i | 0.361823 | − | 0.508109i | ||||
\(911\) | 387.215 | + | 248.848i | 0.425044 | + | 0.273159i | 0.735627 | − | 0.677387i | \(-0.236888\pi\) |
−0.310583 | + | 0.950546i | \(0.600524\pi\) | |||||||
\(912\) | −12.1125 | − | 12.7032i | −0.0132813 | − | 0.0139290i | ||||
\(913\) | 936.079 | + | 427.493i | 1.02528 | + | 0.468229i | ||||
\(914\) | 700.324 | − | 2385.08i | 0.766218 | − | 2.60950i | ||||
\(915\) | 106.710 | − | 553.666i | 0.116623 | − | 0.605099i | ||||
\(916\) | −1442.17 | + | 1249.64i | −1.57442 | + | 1.36424i | ||||
\(917\) | −116.474 | − | 225.929i | −0.127017 | − | 0.246378i | ||||
\(918\) | 121.853 | + | 352.070i | 0.132737 | + | 0.383518i | ||||
\(919\) | 310.361 | + | 775.245i | 0.337716 | + | 0.843574i | 0.995878 | + | 0.0906980i | \(0.0289098\pi\) |
−0.658162 | + | 0.752876i | \(0.728666\pi\) | |||||||
\(920\) | −351.378 | − | 335.038i | −0.381932 | − | 0.364172i | ||||
\(921\) | −585.292 | + | 141.990i | −0.635496 | + | 0.154170i | ||||
\(922\) | 846.457 | − | 1641.90i | 0.918066 | − | 1.78080i | ||||
\(923\) | −2595.67 | − | 373.200i | −2.81221 | − | 0.404334i | ||||
\(924\) | −126.349 | − | 430.306i | −0.136742 | − | 0.465699i | ||||
\(925\) | 667.592 | − | 63.7473i | 0.721721 | − | 0.0689160i | ||||
\(926\) | −620.694 | − | 871.642i | −0.670296 | − | 0.941299i | ||||
\(927\) | 15.2139 | + | 319.380i | 0.0164120 | + | 0.344530i | ||||
\(928\) | −780.626 | − | 270.177i | −0.841192 | − | 0.291139i | ||||
\(929\) | 1738.62 | − | 249.976i | 1.87150 | − | 0.269081i | 0.889355 | − | 0.457217i | \(-0.151154\pi\) |
0.982143 | + | 0.188137i | \(0.0602448\pi\) | |||||||
\(930\) | 178.171 | + | 390.140i | 0.191582 | + | 0.419505i | ||||
\(931\) | −69.7239 | − | 27.9132i | −0.0748914 | − | 0.0299820i | ||||
\(932\) | −627.142 | − | 29.8744i | −0.672899 | − | 0.0320541i | ||||
\(933\) | −714.348 | + | 459.084i | −0.765647 | + | 0.492051i | ||||
\(934\) | 1734.32 | + | 420.741i | 1.85687 | + | 0.450472i | ||||
\(935\) | 1169.51 | − | 1349.68i | 1.25081 | − | 1.44351i | ||||
\(936\) | −264.726 | + | 208.183i | −0.282827 | + | 0.222418i | ||||
\(937\) | − | 1324.46i | − | 1.41351i | −0.707457 | − | 0.706756i | \(-0.750158\pi\) | ||
0.707457 | − | 0.706756i | \(-0.249842\pi\) | |||||||
\(938\) | 177.006 | + | 439.477i | 0.188705 | + | 0.468526i | ||||
\(939\) | −568.977 | −0.605940 | ||||||||
\(940\) | 34.4807 | + | 43.8458i | 0.0366816 | + | 0.0466445i | ||||
\(941\) | −306.140 | − | 265.272i | −0.325335 | − | 0.281904i | 0.476844 | − | 0.878988i | \(-0.341781\pi\) |
−0.802179 | + | 0.597084i | \(0.796326\pi\) | |||||||
\(942\) | −140.456 | + | 578.969i | −0.149104 | + | 0.614617i | ||||
\(943\) | −478.010 | − | 743.798i | −0.506903 | − | 0.788757i | ||||
\(944\) | −11.3944 | + | 239.199i | −0.0120704 | + | 0.253388i | ||||
\(945\) | −17.1119 | + | 42.7434i | −0.0181078 | + | 0.0452311i | ||||
\(946\) | 1202.27 | − | 549.056i | 1.27089 | − | 0.580398i | ||||
\(947\) | −67.3485 | − | 468.419i | −0.0711178 | − | 0.494635i | −0.993985 | − | 0.109517i | \(-0.965070\pi\) |
0.922867 | − | 0.385118i | \(-0.125839\pi\) | |||||||
\(948\) | −223.712 | + | 646.375i | −0.235984 | + | 0.681830i | ||||
\(949\) | 1746.17 | − | 83.1805i | 1.84001 | − | 0.0876507i | ||||
\(950\) | 42.1880 | − | 30.0420i | 0.0444085 | − | 0.0316231i | ||||
\(951\) | 61.4704 | + | 643.747i | 0.0646376 | + | 0.676916i | ||||
\(952\) | 272.980 | − | 80.1542i | 0.286744 | − | 0.0841956i | ||||
\(953\) | 22.8666 | − | 159.041i | 0.0239943 | − | 0.166884i | −0.974301 | − | 0.225250i | \(-0.927680\pi\) |
0.998295 | + | 0.0583661i | \(0.0185891\pi\) | |||||||
\(954\) | −495.846 | − | 255.627i | −0.519755 | − | 0.267952i | ||||
\(955\) | 70.0806 | + | 288.876i | 0.0733828 | + | 0.302488i | ||||
\(956\) | 191.979 | − | 201.342i | 0.200815 | − | 0.210609i | ||||
\(957\) | −653.946 | + | 261.801i | −0.683329 | + | 0.273564i | ||||
\(958\) | −228.501 | + | 79.0849i | −0.238519 | + | 0.0825521i | ||||
\(959\) | 209.287 | − | 107.895i | 0.218235 | − | 0.112508i | ||||
\(960\) | −454.542 | − | 524.569i | −0.473481 | − | 0.546426i | ||||
\(961\) | 540.428 | + | 104.159i | 0.562360 | + | 0.108386i | ||||
\(962\) | 4254.90 | + | 1249.35i | 4.42298 | + | 1.29870i | ||||
\(963\) | 6.19050 | − | 13.5553i | 0.00642835 | − | 0.0140761i | ||||
\(964\) | −1111.14 | + | 1059.47i | −1.15264 | + | 1.09904i | ||||
\(965\) | −18.0200 | + | 28.0397i | −0.0186736 | + | 0.0290567i | ||||
\(966\) | 226.203 | + | 161.079i | 0.234165 | + | 0.166748i | ||||
\(967\) | −322.905 | + | 559.288i | −0.333925 | + | 0.578375i | −0.983278 | − | 0.182112i | \(-0.941706\pi\) |
0.649353 | + | 0.760487i | \(0.275040\pi\) | |||||||
\(968\) | 1299.24 | − | 750.116i | 1.34219 | − | 0.774913i | ||||
\(969\) | 6.47097 | − | 67.7670i | 0.00667798 | − | 0.0699350i | ||||
\(970\) | 39.2029 | + | 203.404i | 0.0404154 | + | 0.209695i | ||||
\(971\) | −324.504 | − | 255.192i | −0.334195 | − | 0.262814i | 0.436933 | − | 0.899494i | \(-0.356065\pi\) |
−0.771128 | + | 0.636680i | \(0.780307\pi\) | |||||||
\(972\) | 55.4306 | − | 70.4857i | 0.0570274 | − | 0.0725162i | ||||
\(973\) | −69.2952 | + | 13.3556i | −0.0712181 | + | 0.0137262i | ||||
\(974\) | 593.696 | + | 56.6911i | 0.609544 | + | 0.0582044i | ||||
\(975\) | 172.111 | + | 298.106i | 0.176525 | + | 0.305749i | ||||
\(976\) | −426.509 | − | 246.245i | −0.436996 | − | 0.252300i | ||||
\(977\) | 994.352 | − | 1396.37i | 1.01776 | − | 1.42924i | 0.117920 | − | 0.993023i | \(-0.462377\pi\) |
0.899840 | − | 0.436221i | \(-0.143683\pi\) | |||||||
\(978\) | 85.9018 | + | 55.2058i | 0.0878342 | + | 0.0564476i | ||||
\(979\) | 503.687 | + | 528.252i | 0.514491 | + | 0.539583i | ||||
\(980\) | −898.299 | − | 410.239i | −0.916631 | − | 0.418611i | ||||
\(981\) | 117.353 | − | 399.667i | 0.119626 | − | 0.407408i | ||||
\(982\) | −455.308 | + | 2362.36i | −0.463653 | + | 2.40566i | ||||
\(983\) | 904.482 | − | 783.738i | 0.920124 | − | 0.797292i | −0.0594804 | − | 0.998229i | \(-0.518944\pi\) |
0.979604 | + | 0.200938i | \(0.0643989\pi\) | |||||||
\(984\) | 169.374 | + | 328.540i | 0.172128 | + | 0.333882i | ||||
\(985\) | 104.037 | + | 300.596i | 0.105622 | + | 0.305174i | ||||
\(986\) | −545.189 | − | 1361.82i | −0.552930 | − | 1.38115i | ||||
\(987\) | −7.03403 | − | 6.70694i | −0.00712668 | − | 0.00679528i | ||||
\(988\) | 196.310 | − | 47.6242i | 0.198694 | − | 0.0482027i | ||||
\(989\) | −221.199 | + | 429.066i | −0.223659 | + | 0.433838i | ||||
\(990\) | −721.318 | − | 103.710i | −0.728604 | − | 0.104757i | ||||
\(991\) | −151.171 | − | 514.841i | −0.152544 | − | 0.519516i | 0.847391 | − | 0.530970i | \(-0.178172\pi\) |
−0.999934 | + | 0.0114537i | \(0.996354\pi\) | |||||||
\(992\) | 814.479 | − | 77.7733i | 0.821047 | − | 0.0784005i | ||||
\(993\) | −623.172 | − | 875.123i | −0.627565 | − | 0.881292i | ||||
\(994\) | −43.0125 | − | 902.943i | −0.0432721 | − | 0.908394i | ||||
\(995\) | 294.075 | + | 101.780i | 0.295553 | + | 0.102292i | ||||
\(996\) | 510.543 | − | 73.4050i | 0.512594 | − | 0.0736998i | ||||
\(997\) | 12.8839 | + | 28.2118i | 0.0129226 | + | 0.0282966i | 0.915983 | − | 0.401216i | \(-0.131412\pi\) |
−0.903061 | + | 0.429513i | \(0.858685\pi\) | |||||||
\(998\) | 320.441 | + | 128.285i | 0.321083 | + | 0.128542i | ||||
\(999\) | −359.284 | − | 17.1148i | −0.359643 | − | 0.0171319i |
(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 | 201.3.n.a.13.2 | ✓ | 220 | |
67.31 | odd | 66 | inner | 201.3.n.a.31.2 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.n.a.13.2 | ✓ | 220 | 1.1 | even | 1 | trivial | |
201.3.n.a.31.2 | yes | 220 | 67.31 | odd | 66 | inner |