Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,3,Mod(23,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([33, 20]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.w (of order \(60\), degree \(16\), 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: | \(9.53680925261\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 23.20 | ||
Character | \(\chi\) | \(=\) | 350.23 |
Dual form | 350.3.w.a.137.20 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09905 | + | 0.889993i | 0.549525 | + | 0.444997i | ||||
\(3\) | 4.74169 | + | 3.07929i | 1.58056 | + | 1.02643i | 0.972606 | + | 0.232461i | \(0.0746777\pi\) |
0.607958 | + | 0.793969i | \(0.291989\pi\) | |||||||
\(4\) | 0.415823 | + | 1.95630i | 0.103956 | + | 0.489074i | ||||
\(5\) | −2.40553 | + | 4.38331i | −0.481106 | + | 0.876662i | ||||
\(6\) | 2.47081 | + | 7.60437i | 0.411801 | + | 1.26739i | ||||
\(7\) | 4.97800 | − | 4.92134i | 0.711142 | − | 0.703048i | ||||
\(8\) | −1.28408 | + | 2.52015i | −0.160510 | + | 0.315018i | ||||
\(9\) | 9.34097 | + | 20.9802i | 1.03789 | + | 2.33113i | ||||
\(10\) | −6.54492 | + | 2.67658i | −0.654492 | + | 0.267658i | ||||
\(11\) | 1.00154 | + | 0.445914i | 0.0910491 | + | 0.0405377i | 0.451756 | − | 0.892142i | \(-0.350798\pi\) |
−0.360707 | + | 0.932679i | \(0.617464\pi\) | |||||||
\(12\) | −4.05229 | + | 10.5566i | −0.337691 | + | 0.879716i | ||||
\(13\) | −3.46629 | − | 21.8853i | −0.266638 | − | 1.68348i | −0.650037 | − | 0.759902i | \(-0.725247\pi\) |
0.383400 | − | 0.923583i | \(-0.374753\pi\) | |||||||
\(14\) | 9.85103 | − | 0.978412i | 0.703645 | − | 0.0698866i | ||||
\(15\) | −24.9038 | + | 13.3770i | −1.66025 | + | 0.891799i | ||||
\(16\) | −3.65418 | + | 1.62695i | −0.228386 | + | 0.101684i | ||||
\(17\) | 0.833208 | + | 15.8986i | 0.0490122 | + | 0.935209i | 0.906893 | + | 0.421361i | \(0.138447\pi\) |
−0.857881 | + | 0.513848i | \(0.828219\pi\) | |||||||
\(18\) | −8.40601 | + | 31.3717i | −0.467001 | + | 1.74287i | ||||
\(19\) | 7.39520 | − | 34.7917i | 0.389221 | − | 1.83114i | −0.149632 | − | 0.988742i | \(-0.547809\pi\) |
0.538853 | − | 0.842400i | \(-0.318858\pi\) | |||||||
\(20\) | −9.57533 | − | 2.88324i | −0.478766 | − | 0.144162i | ||||
\(21\) | 38.7583 | − | 8.00676i | 1.84564 | − | 0.381274i | ||||
\(22\) | 0.703882 | + | 1.38145i | 0.0319946 | + | 0.0627930i | ||||
\(23\) | −13.9005 | + | 17.1657i | −0.604369 | + | 0.746333i | −0.983875 | − | 0.178856i | \(-0.942760\pi\) |
0.379507 | + | 0.925189i | \(0.376094\pi\) | |||||||
\(24\) | −13.8490 | + | 7.99571i | −0.577040 | + | 0.333154i | ||||
\(25\) | −13.4269 | − | 21.0884i | −0.537074 | − | 0.843535i | ||||
\(26\) | 15.6681 | − | 27.1380i | 0.602621 | − | 1.04377i | ||||
\(27\) | −12.3520 | + | 77.9872i | −0.457480 | + | 2.88841i | ||||
\(28\) | 11.6976 | + | 7.69202i | 0.417770 | + | 0.274715i | ||||
\(29\) | −5.78647 | − | 1.88014i | −0.199534 | − | 0.0648324i | 0.207545 | − | 0.978225i | \(-0.433453\pi\) |
−0.407079 | + | 0.913393i | \(0.633453\pi\) | |||||||
\(30\) | −39.2759 | − | 7.46221i | −1.30920 | − | 0.248740i | ||||
\(31\) | −14.8703 | + | 16.5151i | −0.479687 | + | 0.532746i | −0.933608 | − | 0.358296i | \(-0.883358\pi\) |
0.453922 | + | 0.891042i | \(0.350025\pi\) | |||||||
\(32\) | −5.46410 | − | 1.46410i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 3.37589 | + | 5.19842i | 0.102300 | + | 0.157528i | ||||
\(34\) | −13.2339 | + | 18.2149i | −0.389231 | + | 0.535731i | ||||
\(35\) | 9.59704 | + | 33.6585i | 0.274201 | + | 0.961672i | ||||
\(36\) | −37.1592 | + | 26.9977i | −1.03220 | + | 0.749937i | ||||
\(37\) | 20.0534 | − | 52.2410i | 0.541985 | − | 1.41192i | −0.339904 | − | 0.940460i | \(-0.610395\pi\) |
0.881889 | − | 0.471458i | \(-0.156272\pi\) | |||||||
\(38\) | 39.0921 | − | 31.6561i | 1.02874 | − | 0.833056i | ||||
\(39\) | 50.9551 | − | 114.447i | 1.30654 | − | 2.93454i | ||||
\(40\) | −7.95770 | − | 11.6908i | −0.198943 | − | 0.292270i | ||||
\(41\) | 5.72972 | + | 4.16288i | 0.139749 | + | 0.101534i | 0.655463 | − | 0.755227i | \(-0.272473\pi\) |
−0.515714 | + | 0.856761i | \(0.672473\pi\) | |||||||
\(42\) | 49.7233 | + | 25.6948i | 1.18389 | + | 0.611782i | ||||
\(43\) | 13.0927 | + | 13.0927i | 0.304482 | + | 0.304482i | 0.842765 | − | 0.538282i | \(-0.180927\pi\) |
−0.538282 | + | 0.842765i | \(0.680927\pi\) | |||||||
\(44\) | −0.455876 | + | 2.14473i | −0.0103608 | + | 0.0487438i | ||||
\(45\) | −114.433 | − | 9.52402i | −2.54295 | − | 0.211645i | ||||
\(46\) | −30.5546 | + | 6.49459i | −0.664231 | + | 0.141187i | ||||
\(47\) | 17.1312 | + | 0.897807i | 0.364493 | + | 0.0191023i | 0.233704 | − | 0.972308i | \(-0.424915\pi\) |
0.130790 | + | 0.991410i | \(0.458249\pi\) | |||||||
\(48\) | −22.3368 | − | 3.53781i | −0.465351 | − | 0.0737043i | ||||
\(49\) | 0.560898 | − | 48.9968i | 0.0114469 | − | 0.999934i | ||||
\(50\) | 4.01173 | − | 35.1270i | 0.0802345 | − | 0.702540i | ||||
\(51\) | −45.0054 | + | 77.9517i | −0.882460 | + | 1.52846i | ||||
\(52\) | 41.3727 | − | 15.8815i | 0.795630 | − | 0.305414i | ||||
\(53\) | −56.0683 | − | 36.4112i | −1.05789 | − | 0.687003i | −0.106290 | − | 0.994335i | \(-0.533897\pi\) |
−0.951602 | + | 0.307332i | \(0.900564\pi\) | |||||||
\(54\) | −82.9835 | + | 74.7187i | −1.53673 | + | 1.38368i | ||||
\(55\) | −4.36381 | + | 3.31740i | −0.0793421 | + | 0.0603164i | ||||
\(56\) | 6.01035 | + | 18.8647i | 0.107328 | + | 0.336869i | ||||
\(57\) | 142.199 | − | 142.199i | 2.49473 | − | 2.49473i | ||||
\(58\) | −4.68632 | − | 7.21629i | −0.0807985 | − | 0.124419i | ||||
\(59\) | 49.5825 | + | 5.21133i | 0.840381 | + | 0.0883276i | 0.514931 | − | 0.857232i | \(-0.327817\pi\) |
0.325450 | + | 0.945559i | \(0.394484\pi\) | |||||||
\(60\) | −36.5249 | − | 43.1567i | −0.608748 | − | 0.719278i | ||||
\(61\) | 4.76752 | + | 45.3600i | 0.0781561 | + | 0.743606i | 0.961486 | + | 0.274854i | \(0.0886295\pi\) |
−0.883330 | + | 0.468752i | \(0.844704\pi\) | |||||||
\(62\) | −31.0415 | + | 4.91650i | −0.500670 | + | 0.0792983i | ||||
\(63\) | 149.750 | + | 58.4691i | 2.37698 | + | 0.928082i | ||||
\(64\) | −4.70228 | − | 6.47214i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 104.268 | + | 37.4519i | 1.60413 | + | 0.576183i | ||||
\(66\) | −0.916282 | + | 8.71785i | −0.0138831 | + | 0.132089i | ||||
\(67\) | 1.41739 | + | 27.0453i | 0.0211550 | + | 0.403662i | 0.988599 | + | 0.150575i | \(0.0481125\pi\) |
−0.967444 | + | 0.253087i | \(0.918554\pi\) | |||||||
\(68\) | −30.7558 | + | 8.24099i | −0.452291 | + | 0.121191i | ||||
\(69\) | −118.770 | + | 38.5906i | −1.72130 | + | 0.559285i | ||||
\(70\) | −19.4082 | + | 45.5337i | −0.277261 | + | 0.650482i | ||||
\(71\) | 1.49845 | − | 4.61174i | 0.0211049 | − | 0.0649542i | −0.939949 | − | 0.341314i | \(-0.889128\pi\) |
0.961054 | + | 0.276360i | \(0.0891281\pi\) | |||||||
\(72\) | −64.8677 | − | 3.39957i | −0.900940 | − | 0.0472163i | ||||
\(73\) | 34.7566 | + | 90.5441i | 0.476118 | + | 1.24033i | 0.935890 | + | 0.352293i | \(0.114598\pi\) |
−0.459772 | + | 0.888037i | \(0.652069\pi\) | |||||||
\(74\) | 68.5339 | − | 39.5680i | 0.926133 | − | 0.534703i | ||||
\(75\) | 1.27123 | − | 141.340i | 0.0169497 | − | 1.88453i | ||||
\(76\) | 71.1379 | 0.936025 | ||||||||
\(77\) | 7.18015 | − | 2.70915i | 0.0932488 | − | 0.0351838i | ||||
\(78\) | 157.859 | − | 80.4334i | 2.02384 | − | 1.03120i | ||||
\(79\) | −21.6330 | + | 19.4784i | −0.273835 | + | 0.246562i | −0.794593 | − | 0.607142i | \(-0.792316\pi\) |
0.520758 | + | 0.853704i | \(0.325649\pi\) | |||||||
\(80\) | 1.65883 | − | 19.9311i | 0.0207353 | − | 0.249139i | ||||
\(81\) | −160.411 | + | 178.154i | −1.98038 | + | 2.19944i | ||||
\(82\) | 2.59231 | + | 9.67463i | 0.0316135 | + | 0.117983i | ||||
\(83\) | −8.57626 | + | 16.8319i | −0.103328 | + | 0.202794i | −0.936882 | − | 0.349644i | \(-0.886302\pi\) |
0.833554 | + | 0.552438i | \(0.186302\pi\) | |||||||
\(84\) | 31.7802 | + | 72.4934i | 0.378336 | + | 0.863016i | ||||
\(85\) | −71.6926 | − | 34.5922i | −0.843443 | − | 0.406967i | ||||
\(86\) | 2.73713 | + | 26.0420i | 0.0318271 | + | 0.302814i | ||||
\(87\) | −21.6482 | − | 26.7333i | −0.248830 | − | 0.307279i | ||||
\(88\) | −2.40983 | + | 1.95144i | −0.0273844 | + | 0.0221754i | ||||
\(89\) | 14.5949 | − | 1.53399i | 0.163988 | − | 0.0172358i | −0.0221788 | − | 0.999754i | \(-0.507060\pi\) |
0.186166 | + | 0.982518i | \(0.440394\pi\) | |||||||
\(90\) | −117.291 | − | 112.312i | −1.30323 | − | 1.24791i | ||||
\(91\) | −124.960 | − | 91.8862i | −1.37319 | − | 1.00974i | ||||
\(92\) | −39.3612 | − | 20.0556i | −0.427840 | − | 0.217995i | ||||
\(93\) | −121.365 | + | 32.5197i | −1.30500 | + | 0.349674i | ||||
\(94\) | 18.0290 | + | 16.2334i | 0.191798 | + | 0.172696i | ||||
\(95\) | 134.713 | + | 116.108i | 1.41804 | + | 1.22219i | ||||
\(96\) | −21.4007 | − | 23.7679i | −0.222924 | − | 0.247582i | ||||
\(97\) | 39.2340 | + | 77.0010i | 0.404474 | + | 0.793825i | 0.999954 | − | 0.00954503i | \(-0.00303832\pi\) |
−0.595481 | + | 0.803370i | \(0.703038\pi\) | |||||||
\(98\) | 44.2233 | − | 53.3507i | 0.451258 | − | 0.544395i | ||||
\(99\) | 25.1777i | 0.254321i | ||||||||
\(100\) | 35.6719 | − | 35.0359i | 0.356719 | − | 0.350359i | ||||
\(101\) | −65.9072 | − | 114.155i | −0.652546 | − | 1.13024i | −0.982503 | − | 0.186247i | \(-0.940367\pi\) |
0.329956 | − | 0.943996i | \(-0.392966\pi\) | |||||||
\(102\) | −118.840 | + | 45.6183i | −1.16510 | + | 0.447238i | ||||
\(103\) | 0.530986 | − | 10.1318i | 0.00515520 | − | 0.0983671i | −0.994840 | − | 0.101456i | \(-0.967650\pi\) |
0.999995 | + | 0.00308887i | \(0.000983221\pi\) | |||||||
\(104\) | 59.6052 | + | 19.3669i | 0.573127 | + | 0.186220i | ||||
\(105\) | −58.1382 | + | 189.150i | −0.553697 | + | 1.80143i | ||||
\(106\) | −29.2162 | − | 89.9181i | −0.275624 | − | 0.848284i | ||||
\(107\) | 14.4956 | + | 54.0983i | 0.135473 | + | 0.505592i | 0.999996 | + | 0.00299772i | \(0.000954205\pi\) |
−0.864523 | + | 0.502594i | \(0.832379\pi\) | |||||||
\(108\) | −157.702 | + | 8.26482i | −1.46020 | + | 0.0765261i | ||||
\(109\) | 85.0937 | + | 8.94371i | 0.780676 | + | 0.0820524i | 0.486479 | − | 0.873692i | \(-0.338281\pi\) |
0.294197 | + | 0.955745i | \(0.404948\pi\) | |||||||
\(110\) | −7.74852 | − | 0.237775i | −0.0704411 | − | 0.00216159i | ||||
\(111\) | 255.952 | − | 185.960i | 2.30588 | − | 1.67532i | ||||
\(112\) | −10.1838 | + | 26.0824i | −0.0909264 | + | 0.232879i | ||||
\(113\) | −9.60315 | − | 60.6319i | −0.0849836 | − | 0.536565i | −0.993046 | − | 0.117730i | \(-0.962438\pi\) |
0.908062 | − | 0.418836i | \(-0.137562\pi\) | |||||||
\(114\) | 282.841 | − | 29.7278i | 2.48106 | − | 0.260770i | ||||
\(115\) | −41.8044 | − | 102.223i | −0.363517 | − | 0.888892i | ||||
\(116\) | 1.27196 | − | 12.1019i | 0.0109651 | − | 0.104326i | ||||
\(117\) | 426.779 | − | 277.153i | 3.64768 | − | 2.36883i | ||||
\(118\) | 49.8556 | + | 49.8556i | 0.422505 | + | 0.422505i | ||||
\(119\) | 82.3898 | + | 75.0424i | 0.692351 | + | 0.630609i | ||||
\(120\) | −1.73357 | − | 79.9383i | −0.0144464 | − | 0.666152i | ||||
\(121\) | −80.1606 | − | 89.0273i | −0.662484 | − | 0.735763i | ||||
\(122\) | −35.1303 | + | 54.0959i | −0.287953 | + | 0.443409i | ||||
\(123\) | 14.3498 | + | 37.3826i | 0.116665 | + | 0.303923i | ||||
\(124\) | −38.4919 | − | 22.2233i | −0.310418 | − | 0.179220i | ||||
\(125\) | 124.736 | − | 8.12539i | 0.997885 | − | 0.0650031i | ||||
\(126\) | 112.545 | + | 197.537i | 0.893218 | + | 1.56775i | ||||
\(127\) | 25.2112 | − | 159.177i | 0.198514 | − | 1.25336i | −0.664155 | − | 0.747595i | \(-0.731208\pi\) |
0.862668 | − | 0.505770i | \(-0.168792\pi\) | |||||||
\(128\) | 0.592114 | − | 11.2982i | 0.00462589 | − | 0.0882672i | ||||
\(129\) | 21.7654 | + | 102.398i | 0.168724 | + | 0.793783i | ||||
\(130\) | 81.2642 | + | 133.960i | 0.625110 | + | 1.03046i | ||||
\(131\) | −78.7761 | − | 16.7444i | −0.601344 | − | 0.127820i | −0.102827 | − | 0.994699i | \(-0.532789\pi\) |
−0.498517 | + | 0.866880i | \(0.666122\pi\) | |||||||
\(132\) | −8.76587 | + | 8.76587i | −0.0664081 | + | 0.0664081i | ||||
\(133\) | −134.408 | − | 209.587i | −1.01059 | − | 1.57584i | ||||
\(134\) | −22.5124 | + | 30.9856i | −0.168003 | + | 0.231236i | ||||
\(135\) | −312.129 | − | 241.743i | −2.31207 | − | 1.79069i | ||||
\(136\) | −41.1366 | − | 18.3152i | −0.302475 | − | 0.134671i | ||||
\(137\) | −60.9655 | − | 75.2861i | −0.445004 | − | 0.549534i | 0.504450 | − | 0.863441i | \(-0.331695\pi\) |
−0.949454 | + | 0.313907i | \(0.898362\pi\) | |||||||
\(138\) | −164.879 | − | 63.2913i | −1.19478 | − | 0.458632i | ||||
\(139\) | 136.340 | + | 187.656i | 0.980862 | + | 1.35004i | 0.936363 | + | 0.351032i | \(0.114169\pi\) |
0.0444990 | + | 0.999009i | \(0.485831\pi\) | |||||||
\(140\) | −61.8554 | + | 32.7706i | −0.441824 | + | 0.234076i | ||||
\(141\) | 78.4662 | + | 57.0090i | 0.556498 | + | 0.404319i | ||||
\(142\) | 5.75129 | − | 3.73493i | 0.0405020 | − | 0.0263023i | ||||
\(143\) | 6.28734 | − | 23.4647i | 0.0439674 | − | 0.164089i | ||||
\(144\) | −68.2672 | − | 61.4681i | −0.474078 | − | 0.426862i | ||||
\(145\) | 22.1608 | − | 20.8412i | 0.152833 | − | 0.143732i | ||||
\(146\) | −42.3844 | + | 130.446i | −0.290304 | + | 0.893463i | ||||
\(147\) | 153.535 | − | 230.600i | 1.04446 | − | 1.56871i | ||||
\(148\) | 110.537 | + | 17.5074i | 0.746875 | + | 0.118293i | ||||
\(149\) | −120.754 | − | 69.7173i | −0.810428 | − | 0.467901i | 0.0366762 | − | 0.999327i | \(-0.488323\pi\) |
−0.847105 | + | 0.531426i | \(0.821656\pi\) | |||||||
\(150\) | 127.189 | − | 154.208i | 0.847924 | − | 1.02805i | ||||
\(151\) | 8.87112 | + | 15.3652i | 0.0587491 | + | 0.101756i | 0.893904 | − | 0.448258i | \(-0.147955\pi\) |
−0.835155 | + | 0.550015i | \(0.814622\pi\) | |||||||
\(152\) | 78.1841 | + | 63.3123i | 0.514369 | + | 0.416528i | ||||
\(153\) | −325.771 | + | 165.989i | −2.12922 | + | 1.08489i | ||||
\(154\) | 10.3025 | + | 3.41279i | 0.0668992 | + | 0.0221610i | ||||
\(155\) | −36.6200 | − | 104.909i | −0.236258 | − | 0.676830i | ||||
\(156\) | 245.081 | + | 52.0935i | 1.57103 | + | 0.333933i | ||||
\(157\) | 138.208 | + | 37.0327i | 0.880304 | + | 0.235877i | 0.670538 | − | 0.741875i | \(-0.266063\pi\) |
0.209766 | + | 0.977752i | \(0.432730\pi\) | |||||||
\(158\) | −41.1114 | + | 2.15456i | −0.260199 | + | 0.0136364i | ||||
\(159\) | −153.738 | − | 345.301i | −0.966905 | − | 2.17170i | ||||
\(160\) | 19.5617 | − | 20.4289i | 0.122260 | − | 0.127681i | ||||
\(161\) | 15.2815 | + | 153.860i | 0.0949159 | + | 0.955649i | ||||
\(162\) | −334.856 | + | 53.0360i | −2.06701 | + | 0.327383i | ||||
\(163\) | −90.6527 | − | 34.7983i | −0.556151 | − | 0.213486i | 0.0640259 | − | 0.997948i | \(-0.479606\pi\) |
−0.620177 | + | 0.784462i | \(0.712939\pi\) | |||||||
\(164\) | −5.76128 | + | 12.9400i | −0.0351297 | + | 0.0789027i | ||||
\(165\) | −30.9071 | + | 2.29264i | −0.187316 | + | 0.0138948i | ||||
\(166\) | −24.4060 | + | 10.8662i | −0.147024 | + | 0.0654593i | ||||
\(167\) | −246.503 | − | 125.600i | −1.47607 | − | 0.752094i | −0.483680 | − | 0.875245i | \(-0.660700\pi\) |
−0.992388 | + | 0.123151i | \(0.960700\pi\) | |||||||
\(168\) | −29.5906 | + | 107.958i | −0.176134 | + | 0.642607i | ||||
\(169\) | −306.223 | + | 99.4978i | −1.81197 | + | 0.588744i | ||||
\(170\) | −48.0069 | − | 101.825i | −0.282394 | − | 0.598968i | ||||
\(171\) | 799.014 | − | 169.836i | 4.67260 | − | 0.993191i | ||||
\(172\) | −20.1690 | + | 31.0575i | −0.117262 | + | 0.180567i | ||||
\(173\) | −129.032 | + | 159.342i | −0.745851 | + | 0.921049i | −0.998923 | − | 0.0463981i | \(-0.985226\pi\) |
0.253072 | + | 0.967447i | \(0.418559\pi\) | |||||||
\(174\) | − | 48.6479i | − | 0.279586i | ||||||
\(175\) | −170.622 | − | 38.8998i | −0.974982 | − | 0.222285i | ||||
\(176\) | −4.38529 | −0.0249164 | ||||||||
\(177\) | 219.058 | + | 177.389i | 1.23761 | + | 1.00220i | ||||
\(178\) | 17.4058 | + | 11.3034i | 0.0977852 | + | 0.0635025i | ||||
\(179\) | −35.5044 | − | 167.035i | −0.198349 | − | 0.933157i | −0.958870 | − | 0.283845i | \(-0.908390\pi\) |
0.760522 | − | 0.649313i | \(-0.224943\pi\) | |||||||
\(180\) | −28.9520 | − | 227.824i | −0.160844 | − | 1.26569i | ||||
\(181\) | 19.3045 | + | 59.4130i | 0.106654 | + | 0.328249i | 0.990115 | − | 0.140257i | \(-0.0447927\pi\) |
−0.883461 | + | 0.468505i | \(0.844793\pi\) | |||||||
\(182\) | −55.5594 | − | 212.201i | −0.305271 | − | 1.16594i | ||||
\(183\) | −117.070 | + | 229.763i | −0.639729 | + | 1.25554i | ||||
\(184\) | −25.4107 | − | 57.0733i | −0.138101 | − | 0.310181i | ||||
\(185\) | 180.749 | + | 213.568i | 0.977024 | + | 1.15442i | ||||
\(186\) | −162.329 | − | 72.2734i | −0.872735 | − | 0.388567i | ||||
\(187\) | −6.25490 | + | 16.2946i | −0.0334487 | + | 0.0871367i | ||||
\(188\) | 5.36717 | + | 33.8870i | 0.0285488 | + | 0.180250i | ||||
\(189\) | 322.313 | + | 449.008i | 1.70536 | + | 2.37570i | ||||
\(190\) | 44.7216 | + | 247.503i | 0.235377 | + | 1.30264i | ||||
\(191\) | −191.577 | + | 85.2955i | −1.00302 | + | 0.446574i | −0.841478 | − | 0.540292i | \(-0.818314\pi\) |
−0.161543 | + | 0.986866i | \(0.551647\pi\) | |||||||
\(192\) | −2.36718 | − | 45.1686i | −0.0123291 | − | 0.235253i | ||||
\(193\) | −2.28099 | + | 8.51276i | −0.0118186 | + | 0.0441076i | −0.971583 | − | 0.236698i | \(-0.923935\pi\) |
0.959765 | + | 0.280805i | \(0.0906015\pi\) | |||||||
\(194\) | −25.4103 | + | 119.546i | −0.130981 | + | 0.616216i | ||||
\(195\) | 379.083 | + | 498.658i | 1.94402 | + | 2.55722i | ||||
\(196\) | 96.0854 | − | 19.2767i | 0.490232 | − | 0.0983507i | ||||
\(197\) | −89.3593 | − | 175.378i | −0.453601 | − | 0.890241i | −0.998655 | − | 0.0518408i | \(-0.983491\pi\) |
0.545055 | − | 0.838400i | \(-0.316509\pi\) | |||||||
\(198\) | −22.4080 | + | 27.6716i | −0.113172 | + | 0.139756i | ||||
\(199\) | 241.787 | − | 139.596i | 1.21501 | − | 0.701485i | 0.251162 | − | 0.967945i | \(-0.419187\pi\) |
0.963846 | + | 0.266460i | \(0.0858540\pi\) | |||||||
\(200\) | 70.3869 | − | 6.75851i | 0.351935 | − | 0.0337925i | ||||
\(201\) | −76.5596 | + | 132.605i | −0.380894 | + | 0.659727i | ||||
\(202\) | 29.1615 | − | 184.119i | 0.144364 | − | 0.911478i | ||||
\(203\) | −38.0578 | + | 19.1179i | −0.187477 | + | 0.0941766i | ||||
\(204\) | −171.211 | − | 55.6298i | −0.839269 | − | 0.272695i | ||||
\(205\) | −32.0302 | + | 15.1012i | −0.156245 | + | 0.0736644i | ||||
\(206\) | 9.60083 | − | 10.6628i | 0.0466060 | − | 0.0517612i | ||||
\(207\) | −489.982 | − | 131.290i | −2.36706 | − | 0.634253i | ||||
\(208\) | 48.2727 | + | 74.3334i | 0.232080 | + | 0.357372i | ||||
\(209\) | 22.9207 | − | 31.5476i | 0.109668 | − | 0.150946i | ||||
\(210\) | −232.239 | + | 156.143i | −1.10590 | + | 0.743539i | ||||
\(211\) | −306.649 | + | 222.794i | −1.45331 | + | 1.05589i | −0.468271 | + | 0.883585i | \(0.655123\pi\) |
−0.985043 | + | 0.172310i | \(0.944877\pi\) | |||||||
\(212\) | 47.9165 | − | 124.827i | 0.226021 | − | 0.588805i | ||||
\(213\) | 21.3061 | − | 17.2533i | 0.100028 | − | 0.0810015i | ||||
\(214\) | −32.2157 | + | 72.3577i | −0.150541 | + | 0.338120i | ||||
\(215\) | −88.8845 | + | 25.8946i | −0.413416 | + | 0.120440i | ||||
\(216\) | −180.678 | − | 131.270i | −0.836473 | − | 0.607733i | ||||
\(217\) | 7.25226 | + | 155.394i | 0.0334205 | + | 0.716101i | ||||
\(218\) | 85.5624 | + | 85.5624i | 0.392488 | + | 0.392488i | ||||
\(219\) | −114.006 | + | 536.358i | −0.520577 | + | 2.44912i | ||||
\(220\) | −8.30439 | − | 7.15746i | −0.0377472 | − | 0.0325339i | ||||
\(221\) | 345.056 | − | 73.3440i | 1.56134 | − | 0.331873i | ||||
\(222\) | 446.808 | + | 23.4162i | 2.01265 | + | 0.105478i | ||||
\(223\) | 4.45803 | + | 0.706083i | 0.0199912 | + | 0.00316629i | 0.166422 | − | 0.986055i | \(-0.446779\pi\) |
−0.146431 | + | 0.989221i | \(0.546779\pi\) | |||||||
\(224\) | −34.4056 | + | 19.6024i | −0.153596 | + | 0.0875107i | ||||
\(225\) | 317.018 | − | 478.684i | 1.40897 | − | 2.12748i | ||||
\(226\) | 43.4076 | − | 75.1842i | 0.192069 | − | 0.332674i | ||||
\(227\) | 5.54160 | − | 2.12722i | 0.0244123 | − | 0.00937101i | −0.346131 | − | 0.938186i | \(-0.612505\pi\) |
0.370543 | + | 0.928815i | \(0.379171\pi\) | |||||||
\(228\) | 337.314 | + | 219.054i | 1.47945 | + | 0.960764i | ||||
\(229\) | 119.631 | − | 107.716i | 0.522405 | − | 0.470375i | −0.365234 | − | 0.930916i | \(-0.619011\pi\) |
0.887639 | + | 0.460540i | \(0.152344\pi\) | |||||||
\(230\) | 45.0323 | − | 149.553i | 0.195793 | − | 0.650233i | ||||
\(231\) | 42.3883 | + | 9.26381i | 0.183499 | + | 0.0401031i | ||||
\(232\) | 12.1685 | − | 12.1685i | 0.0524505 | − | 0.0524505i | ||||
\(233\) | 30.4728 | + | 46.9239i | 0.130784 | + | 0.201390i | 0.897996 | − | 0.440004i | \(-0.145023\pi\) |
−0.767211 | + | 0.641394i | \(0.778356\pi\) | |||||||
\(234\) | 715.716 | + | 75.2248i | 3.05862 | + | 0.321473i | ||||
\(235\) | −45.1449 | + | 72.9316i | −0.192106 | + | 0.310347i | ||||
\(236\) | 10.4227 | + | 99.1650i | 0.0441638 | + | 0.420191i | ||||
\(237\) | −162.557 | + | 25.7464i | −0.685893 | + | 0.108635i | ||||
\(238\) | 23.7633 | + | 155.802i | 0.0998458 | + | 0.654630i | ||||
\(239\) | 158.802 | + | 218.573i | 0.664445 | + | 0.914530i | 0.999618 | − | 0.0276262i | \(-0.00879480\pi\) |
−0.335173 | + | 0.942157i | \(0.608795\pi\) | |||||||
\(240\) | 69.2392 | − | 89.3990i | 0.288497 | − | 0.372496i | ||||
\(241\) | −29.4891 | + | 280.570i | −0.122361 | + | 1.16419i | 0.745193 | + | 0.666849i | \(0.232357\pi\) |
−0.867554 | + | 0.497342i | \(0.834309\pi\) | |||||||
\(242\) | −8.86676 | − | 169.188i | −0.0366395 | − | 0.699123i | ||||
\(243\) | −622.789 | + | 166.876i | −2.56292 | + | 0.686732i | ||||
\(244\) | −86.7550 | + | 28.1884i | −0.355553 | + | 0.115526i | ||||
\(245\) | 213.419 | + | 120.322i | 0.871098 | + | 0.491109i | ||||
\(246\) | −17.4991 | + | 53.8566i | −0.0711344 | + | 0.218929i | ||||
\(247\) | −787.060 | − | 41.2481i | −3.18648 | − | 0.166996i | ||||
\(248\) | −22.5259 | − | 58.6820i | −0.0908303 | − | 0.236621i | ||||
\(249\) | −92.4962 | + | 53.4027i | −0.371471 | + | 0.214469i | ||||
\(250\) | 144.322 | + | 102.084i | 0.577289 | + | 0.408335i | ||||
\(251\) | −334.908 | −1.33429 | −0.667147 | − | 0.744926i | \(-0.732485\pi\) | ||||
−0.667147 | + | 0.744926i | \(0.732485\pi\) | |||||||
\(252\) | −52.1134 | + | 317.268i | −0.206799 | + | 1.25900i | ||||
\(253\) | −21.5763 | + | 10.9937i | −0.0852818 | + | 0.0434532i | ||||
\(254\) | 169.375 | − | 152.506i | 0.666831 | − | 0.600418i | ||||
\(255\) | −233.425 | − | 384.788i | −0.915391 | − | 1.50897i | ||||
\(256\) | 10.7061 | − | 11.8903i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −70.3140 | − | 262.415i | −0.273595 | − | 1.02107i | −0.956777 | − | 0.290823i | \(-0.906071\pi\) |
0.683182 | − | 0.730248i | \(-0.260596\pi\) | |||||||
\(258\) | −67.2123 | + | 131.912i | −0.260513 | + | 0.511285i | ||||
\(259\) | −157.269 | − | 358.745i | −0.607218 | − | 1.38512i | ||||
\(260\) | −29.9097 | + | 219.553i | −0.115037 | + | 0.844435i | ||||
\(261\) | −14.6057 | − | 138.964i | −0.0559604 | − | 0.532427i | ||||
\(262\) | −71.6765 | − | 88.5131i | −0.273574 | − | 0.337836i | ||||
\(263\) | −289.350 | + | 234.311i | −1.10019 | + | 0.890916i | −0.994630 | − | 0.103497i | \(-0.966997\pi\) |
−0.105560 | + | 0.994413i | \(0.533663\pi\) | |||||||
\(264\) | −17.4357 | + | 1.83256i | −0.0660443 | + | 0.00694153i | ||||
\(265\) | 294.475 | − | 158.177i | 1.11123 | − | 0.596893i | ||||
\(266\) | 38.8097 | − | 349.969i | 0.145901 | − | 1.31567i | ||||
\(267\) | 73.9281 | + | 37.6682i | 0.276884 | + | 0.141080i | ||||
\(268\) | −52.3193 | + | 14.0189i | −0.195221 | + | 0.0523093i | ||||
\(269\) | 9.25590 | + | 8.33405i | 0.0344085 | + | 0.0309816i | 0.686156 | − | 0.727455i | \(-0.259297\pi\) |
−0.651747 | + | 0.758436i | \(0.725964\pi\) | |||||||
\(270\) | −127.896 | − | 543.480i | −0.473689 | − | 2.01289i | ||||
\(271\) | −35.7978 | − | 39.7575i | −0.132095 | − | 0.146707i | 0.673468 | − | 0.739216i | \(-0.264804\pi\) |
−0.805563 | + | 0.592510i | \(0.798137\pi\) | |||||||
\(272\) | −28.9108 | − | 56.7406i | −0.106290 | − | 0.208605i | ||||
\(273\) | −309.578 | − | 820.484i | −1.13399 | − | 3.00544i | ||||
\(274\) | − | 137.002i | − | 0.500008i | ||||||
\(275\) | −4.04392 | − | 27.1081i | −0.0147052 | − | 0.0985748i | ||||
\(276\) | −124.882 | − | 216.302i | −0.452471 | − | 0.783703i | ||||
\(277\) | 255.071 | − | 97.9126i | 0.920834 | − | 0.353475i | 0.148662 | − | 0.988888i | \(-0.452503\pi\) |
0.772173 | + | 0.635413i | \(0.219170\pi\) | |||||||
\(278\) | −17.1680 | + | 327.585i | −0.0617554 | + | 1.17836i | ||||
\(279\) | −485.393 | − | 157.714i | −1.73976 | − | 0.565282i | ||||
\(280\) | −97.1478 | − | 19.0343i | −0.346956 | − | 0.0679796i | ||||
\(281\) | 166.928 | + | 513.751i | 0.594050 | + | 1.82830i | 0.559401 | + | 0.828897i | \(0.311031\pi\) |
0.0346491 | + | 0.999400i | \(0.488969\pi\) | |||||||
\(282\) | 35.5006 | + | 132.490i | 0.125889 | + | 0.469823i | ||||
\(283\) | −253.556 | + | 13.2883i | −0.895958 | + | 0.0469552i | −0.494754 | − | 0.869033i | \(-0.664742\pi\) |
−0.401205 | + | 0.915988i | \(0.631408\pi\) | |||||||
\(284\) | 9.64502 | + | 1.01373i | 0.0339613 | + | 0.00356948i | ||||
\(285\) | 281.240 | + | 965.370i | 0.986806 | + | 3.38726i | ||||
\(286\) | 27.7935 | − | 20.1932i | 0.0971801 | − | 0.0706055i | ||||
\(287\) | 49.0095 | − | 7.47505i | 0.170765 | − | 0.0260455i | ||||
\(288\) | −20.3229 | − | 128.314i | −0.0705657 | − | 0.445534i | ||||
\(289\) | 35.3471 | − | 3.71513i | 0.122308 | − | 0.0128551i | ||||
\(290\) | 42.9043 | − | 3.18258i | 0.147946 | − | 0.0109744i | ||||
\(291\) | −51.0731 | + | 485.928i | −0.175509 | + | 1.66985i | ||||
\(292\) | −162.678 | + | 105.645i | −0.557118 | + | 0.361796i | ||||
\(293\) | 234.986 | + | 234.986i | 0.802000 | + | 0.802000i | 0.983408 | − | 0.181408i | \(-0.0580655\pi\) |
−0.181408 | + | 0.983408i | \(0.558065\pi\) | |||||||
\(294\) | 373.975 | − | 116.796i | 1.27203 | − | 0.397267i | ||||
\(295\) | −142.115 | + | 204.800i | −0.481746 | + | 0.694236i | ||||
\(296\) | 105.905 | + | 117.619i | 0.357786 | + | 0.397362i | ||||
\(297\) | −47.1465 | + | 72.5993i | −0.158743 | + | 0.244442i | ||||
\(298\) | −70.6666 | − | 184.093i | −0.237136 | − | 0.617761i | ||||
\(299\) | 423.859 | + | 244.715i | 1.41759 | + | 0.818445i | ||||
\(300\) | 277.031 | − | 56.2855i | 0.923436 | − | 0.187618i | ||||
\(301\) | 129.609 | + | 0.741836i | 0.430596 | + | 0.00246457i | ||||
\(302\) | −3.92515 | + | 24.7824i | −0.0129972 | + | 0.0820609i | ||||
\(303\) | 39.0036 | − | 744.233i | 0.128725 | − | 2.45621i | ||||
\(304\) | 29.5808 | + | 139.167i | 0.0973053 | + | 0.457785i | ||||
\(305\) | −210.295 | − | 88.2172i | −0.689493 | − | 0.289237i | ||||
\(306\) | −505.768 | − | 107.504i | −1.65284 | − | 0.351321i | ||||
\(307\) | 23.3717 | − | 23.3717i | 0.0761295 | − | 0.0761295i | −0.668017 | − | 0.744146i | \(-0.732857\pi\) |
0.744146 | + | 0.668017i | \(0.232857\pi\) | |||||||
\(308\) | 8.28558 | + | 12.9200i | 0.0269012 | + | 0.0419480i | ||||
\(309\) | 33.7166 | − | 46.4069i | 0.109115 | − | 0.150184i | ||||
\(310\) | 53.1208 | − | 147.892i | 0.171357 | − | 0.477070i | ||||
\(311\) | 297.384 | + | 132.404i | 0.956219 | + | 0.425736i | 0.824696 | − | 0.565577i | \(-0.191346\pi\) |
0.131524 | + | 0.991313i | \(0.458013\pi\) | |||||||
\(312\) | 222.993 | + | 275.373i | 0.714721 | + | 0.882607i | ||||
\(313\) | 21.3962 | + | 8.21322i | 0.0683584 | + | 0.0262403i | 0.392307 | − | 0.919834i | \(-0.371677\pi\) |
−0.323949 | + | 0.946075i | \(0.605010\pi\) | |||||||
\(314\) | 118.938 | + | 163.705i | 0.378785 | + | 0.521353i | ||||
\(315\) | −616.516 | + | 515.751i | −1.95719 | + | 1.63730i | ||||
\(316\) | −47.1010 | − | 34.2209i | −0.149054 | − | 0.108294i | ||||
\(317\) | 68.7891 | − | 44.6721i | 0.217000 | − | 0.140922i | −0.431562 | − | 0.902083i | \(-0.642037\pi\) |
0.648562 | + | 0.761162i | \(0.275371\pi\) | |||||||
\(318\) | 138.350 | − | 516.329i | 0.435063 | − | 1.62368i | ||||
\(319\) | −4.95700 | − | 4.46331i | −0.0155392 | − | 0.0139916i | ||||
\(320\) | 39.6809 | − | 5.04266i | 0.124003 | − | 0.0157583i | ||||
\(321\) | −97.8507 | + | 301.154i | −0.304831 | + | 0.938173i | ||||
\(322\) | −120.139 | + | 182.700i | −0.373102 | + | 0.567391i | ||||
\(323\) | 559.299 | + | 88.5843i | 1.73158 | + | 0.274255i | ||||
\(324\) | −415.225 | − | 239.730i | −1.28156 | − | 0.739909i | ||||
\(325\) | −414.984 | + | 366.949i | −1.27687 | + | 1.12907i | ||||
\(326\) | −68.6616 | − | 118.925i | −0.210618 | − | 0.364802i | ||||
\(327\) | 375.948 | + | 304.437i | 1.14969 | + | 0.930999i | ||||
\(328\) | −17.8485 | + | 9.09426i | −0.0544161 | + | 0.0277264i | ||||
\(329\) | 89.6974 | − | 79.8390i | 0.272636 | − | 0.242672i | ||||
\(330\) | −36.0089 | − | 24.9874i | −0.109118 | − | 0.0757194i | ||||
\(331\) | −261.438 | − | 55.5705i | −0.789844 | − | 0.167887i | −0.204710 | − | 0.978823i | \(-0.565625\pi\) |
−0.585135 | + | 0.810936i | \(0.698958\pi\) | |||||||
\(332\) | −36.4943 | − | 9.77862i | −0.109923 | − | 0.0294537i | ||||
\(333\) | 1283.34 | − | 67.2572i | 3.85388 | − | 0.201973i | ||||
\(334\) | −159.137 | − | 357.427i | −0.476457 | − | 1.07014i | ||||
\(335\) | −121.958 | − | 58.8455i | −0.364053 | − | 0.175658i | ||||
\(336\) | −128.603 | + | 92.3159i | −0.382748 | + | 0.274750i | ||||
\(337\) | −338.822 | + | 53.6641i | −1.00541 | + | 0.159241i | −0.637359 | − | 0.770567i | \(-0.719973\pi\) |
−0.368046 | + | 0.929807i | \(0.619973\pi\) | |||||||
\(338\) | −425.107 | − | 163.183i | −1.25771 | − | 0.482790i | ||||
\(339\) | 141.168 | − | 317.069i | 0.416425 | − | 0.935305i | ||||
\(340\) | 37.8611 | − | 154.636i | 0.111356 | − | 0.454812i | ||||
\(341\) | −22.2575 | + | 9.90968i | −0.0652713 | + | 0.0290606i | ||||
\(342\) | 1029.31 | + | 524.459i | 3.00968 | + | 1.53351i | ||||
\(343\) | −238.338 | − | 246.666i | −0.694862 | − | 0.719143i | ||||
\(344\) | −49.8077 | + | 16.1835i | −0.144790 | + | 0.0470451i | ||||
\(345\) | 116.549 | − | 613.436i | 0.337824 | − | 1.77808i | ||||
\(346\) | −283.626 | + | 60.2865i | −0.819728 | + | 0.174239i | ||||
\(347\) | 343.576 | − | 529.061i | 0.990133 | − | 1.52467i | 0.145477 | − | 0.989362i | \(-0.453528\pi\) |
0.844656 | − | 0.535310i | \(-0.179805\pi\) | |||||||
\(348\) | 43.2964 | − | 53.4665i | 0.124415 | − | 0.153639i | ||||
\(349\) | 648.089i | 1.85699i | 0.371347 | + | 0.928494i | \(0.378896\pi\) | ||||
−0.371347 | + | 0.928494i | \(0.621104\pi\) | |||||||
\(350\) | −152.901 | − | 194.605i | −0.436861 | − | 0.556015i | ||||
\(351\) | 1749.59 | 4.98458 | ||||||||
\(352\) | −4.81965 | − | 3.90288i | −0.0136922 | − | 0.0110877i | ||||
\(353\) | −126.446 | − | 82.1152i | −0.358205 | − | 0.232621i | 0.352972 | − | 0.935634i | \(-0.385171\pi\) |
−0.711177 | + | 0.703013i | \(0.751838\pi\) | |||||||
\(354\) | 82.8800 | + | 389.920i | 0.234124 | + | 1.10147i | ||||
\(355\) | 16.6102 | + | 17.6618i | 0.0467892 | + | 0.0497517i | ||||
\(356\) | 9.06983 | + | 27.9141i | 0.0254771 | + | 0.0784103i | ||||
\(357\) | 159.590 | + | 609.530i | 0.447030 | + | 1.70737i | ||||
\(358\) | 109.639 | − | 215.179i | 0.306254 | − | 0.601058i | ||||
\(359\) | −112.357 | − | 252.357i | −0.312971 | − | 0.702945i | 0.686742 | − | 0.726901i | \(-0.259040\pi\) |
−0.999713 | + | 0.0239566i | \(0.992374\pi\) | |||||||
\(360\) | 170.942 | − | 276.157i | 0.474840 | − | 0.767104i | ||||
\(361\) | −825.983 | − | 367.751i | −2.28804 | − | 1.01870i | ||||
\(362\) | −31.6606 | + | 82.4787i | −0.0874603 | + | 0.227842i | ||||
\(363\) | −105.956 | − | 668.978i | −0.291889 | − | 1.84291i | ||||
\(364\) | 127.795 | − | 282.667i | 0.351086 | − | 0.776558i | ||||
\(365\) | −480.491 | − | 65.4574i | −1.31641 | − | 0.179335i | ||||
\(366\) | −333.154 | + | 148.330i | −0.910257 | + | 0.405273i | ||||
\(367\) | 16.0885 | + | 306.988i | 0.0438380 | + | 0.836479i | 0.928747 | + | 0.370715i | \(0.120887\pi\) |
−0.884909 | + | 0.465764i | \(0.845779\pi\) | |||||||
\(368\) | 22.8673 | − | 85.3418i | 0.0621393 | − | 0.231907i | ||||
\(369\) | −33.8169 | + | 159.096i | −0.0916446 | + | 0.431154i | ||||
\(370\) | 8.57886 | + | 395.587i | 0.0231861 | + | 1.06916i | ||||
\(371\) | −458.299 | + | 94.6762i | −1.23531 | + | 0.255192i | ||||
\(372\) | −114.085 | − | 223.904i | −0.306679 | − | 0.601891i | ||||
\(373\) | 233.434 | − | 288.268i | 0.625830 | − | 0.772835i | −0.361353 | − | 0.932429i | \(-0.617685\pi\) |
0.987183 | + | 0.159594i | \(0.0510185\pi\) | |||||||
\(374\) | −21.3765 | + | 12.3417i | −0.0571564 | + | 0.0329993i | ||||
\(375\) | 616.478 | + | 345.569i | 1.64394 | + | 0.921518i | ||||
\(376\) | −24.2604 | + | 42.0203i | −0.0645224 | + | 0.111756i | ||||
\(377\) | −21.0898 | + | 133.156i | −0.0559412 | + | 0.353199i | ||||
\(378\) | −45.3758 | + | 780.339i | −0.120042 | + | 2.06439i | ||||
\(379\) | −431.836 | − | 140.312i | −1.13941 | − | 0.370216i | −0.322264 | − | 0.946650i | \(-0.604444\pi\) |
−0.817144 | + | 0.576434i | \(0.804444\pi\) | |||||||
\(380\) | −171.124 | + | 311.820i | −0.450327 | + | 0.820578i | ||||
\(381\) | 609.697 | − | 677.137i | 1.60025 | − | 1.77726i | ||||
\(382\) | −286.465 | − | 76.7581i | −0.749909 | − | 0.200937i | ||||
\(383\) | −244.456 | − | 376.429i | −0.638266 | − | 0.982844i | −0.998745 | − | 0.0500766i | \(-0.984053\pi\) |
0.360479 | − | 0.932767i | \(-0.382613\pi\) | |||||||
\(384\) | 37.5981 | − | 51.7493i | 0.0979116 | − | 0.134764i | ||||
\(385\) | −5.39700 | + | 37.9898i | −0.0140182 | + | 0.0986748i | ||||
\(386\) | −10.0832 | + | 7.32589i | −0.0261223 | + | 0.0189790i | ||||
\(387\) | −152.389 | + | 396.987i | −0.393770 | + | 1.02581i | ||||
\(388\) | −134.322 | + | 108.772i | −0.346191 | + | 0.280340i | ||||
\(389\) | −267.760 | + | 601.398i | −0.688328 | + | 1.54601i | 0.142692 | + | 0.989767i | \(0.454424\pi\) |
−0.831020 | + | 0.556243i | \(0.812242\pi\) | |||||||
\(390\) | −27.1708 | + | 885.432i | −0.0696687 | + | 2.27034i | ||||
\(391\) | −284.491 | − | 206.695i | −0.727599 | − | 0.528631i | ||||
\(392\) | 122.759 | + | 64.3293i | 0.313160 | + | 0.164105i | ||||
\(393\) | −321.971 | − | 321.971i | −0.819265 | − | 0.819265i | ||||
\(394\) | 57.8745 | − | 272.278i | 0.146890 | − | 0.691061i | ||||
\(395\) | −33.3412 | − | 141.680i | −0.0844082 | − | 0.358684i | ||||
\(396\) | −49.2551 | + | 10.4695i | −0.124382 | + | 0.0264381i | ||||
\(397\) | 55.4694 | + | 2.90703i | 0.139721 | + | 0.00732249i | 0.122068 | − | 0.992522i | \(-0.461047\pi\) |
0.0176530 | + | 0.999844i | \(0.494381\pi\) | |||||||
\(398\) | 389.975 | + | 61.7659i | 0.979836 | + | 0.155191i | ||||
\(399\) | 8.05704 | − | 1407.68i | 0.0201931 | − | 3.52802i | ||||
\(400\) | 83.3738 | + | 55.2160i | 0.208435 | + | 0.138040i | ||||
\(401\) | −88.2764 | + | 152.899i | −0.220141 | + | 0.381295i | −0.954851 | − | 0.297087i | \(-0.903985\pi\) |
0.734710 | + | 0.678381i | \(0.237318\pi\) | |||||||
\(402\) | −202.161 | + | 77.6022i | −0.502887 | + | 0.193040i | ||||
\(403\) | 412.983 | + | 268.194i | 1.02477 | + | 0.665495i | ||||
\(404\) | 195.914 | − | 176.402i | 0.484936 | − | 0.436639i | ||||
\(405\) | −395.033 | − | 1131.69i | −0.975391 | − | 2.79429i | ||||
\(406\) | −58.8423 | − | 12.8597i | −0.144932 | − | 0.0316742i | ||||
\(407\) | 43.3793 | − | 43.3793i | 0.106583 | − | 0.106583i | ||||
\(408\) | −138.659 | − | 213.516i | −0.339851 | − | 0.523325i | ||||
\(409\) | 66.7984 | + | 7.02079i | 0.163321 | + | 0.0171657i | 0.185836 | − | 0.982581i | \(-0.440501\pi\) |
−0.0225149 | + | 0.999747i | \(0.507167\pi\) | |||||||
\(410\) | −48.6428 | − | 11.9097i | −0.118641 | − | 0.0290481i | ||||
\(411\) | −57.2517 | − | 544.714i | −0.139299 | − | 1.32534i | ||||
\(412\) | 20.0416 | − | 3.17428i | 0.0486447 | − | 0.00770456i | ||||
\(413\) | 272.468 | − | 218.070i | 0.659729 | − | 0.528015i | ||||
\(414\) | −421.668 | − | 580.376i | −1.01852 | − | 1.40187i | ||||
\(415\) | −53.1489 | − | 78.0820i | −0.128070 | − | 0.188149i | ||||
\(416\) | −13.1021 | + | 124.659i | −0.0314955 | + | 0.299660i | ||||
\(417\) | 68.6351 | + | 1309.64i | 0.164593 | + | 3.14061i | ||||
\(418\) | 53.2682 | − | 14.2732i | 0.127436 | − | 0.0341463i | ||||
\(419\) | −43.7279 | + | 14.2081i | −0.104363 | + | 0.0339095i | −0.360733 | − | 0.932669i | \(-0.617473\pi\) |
0.256370 | + | 0.966579i | \(0.417473\pi\) | |||||||
\(420\) | −394.209 | − | 35.0823i | −0.938593 | − | 0.0835294i | ||||
\(421\) | −111.513 | + | 343.201i | −0.264876 | + | 0.815205i | 0.726846 | + | 0.686801i | \(0.240985\pi\) |
−0.991722 | + | 0.128404i | \(0.959015\pi\) | |||||||
\(422\) | −535.308 | − | 28.0543i | −1.26850 | − | 0.0664794i | ||||
\(423\) | 141.186 | + | 367.802i | 0.333773 | + | 0.869507i | ||||
\(424\) | 163.758 | − | 94.5455i | 0.386221 | − | 0.222985i | ||||
\(425\) | 324.087 | − | 231.039i | 0.762558 | − | 0.543620i | ||||
\(426\) | 38.7718 | 0.0910136 | ||||||||
\(427\) | 246.964 | + | 202.339i | 0.578371 | + | 0.473862i | ||||
\(428\) | −99.8046 | + | 50.8530i | −0.233188 | + | 0.118815i | ||||
\(429\) | 102.067 | − | 91.9016i | 0.237919 | − | 0.214223i | ||||
\(430\) | −120.735 | − | 50.6472i | −0.280778 | − | 0.117784i | ||||
\(431\) | 216.874 | − | 240.863i | 0.503189 | − | 0.558848i | −0.437017 | − | 0.899453i | \(-0.643965\pi\) |
0.940206 | + | 0.340605i | \(0.110632\pi\) | |||||||
\(432\) | −81.7447 | − | 305.075i | −0.189224 | − | 0.706193i | ||||
\(433\) | 50.7726 | − | 99.6468i | 0.117258 | − | 0.230131i | −0.824917 | − | 0.565254i | \(-0.808778\pi\) |
0.942174 | + | 0.335123i | \(0.108778\pi\) | |||||||
\(434\) | −130.329 | + | 177.240i | −0.300297 | + | 0.408388i | ||||
\(435\) | 169.256 | − | 30.5830i | 0.389093 | − | 0.0703058i | ||||
\(436\) | 17.8874 | + | 170.187i | 0.0410262 | + | 0.390338i | ||||
\(437\) | 494.425 | + | 610.565i | 1.13141 | + | 1.39717i | ||||
\(438\) | −602.653 | + | 488.019i | −1.37592 | + | 1.11420i | ||||
\(439\) | 288.975 | − | 30.3724i | 0.658256 | − | 0.0691855i | 0.230490 | − | 0.973075i | \(-0.425967\pi\) |
0.427767 | + | 0.903889i | \(0.359301\pi\) | |||||||
\(440\) | −2.75686 | − | 15.2573i | −0.00626558 | − | 0.0346756i | ||||
\(441\) | 1033.20 | − | 445.910i | 2.34286 | − | 1.01113i | ||||
\(442\) | 444.510 | + | 226.489i | 1.00568 | + | 0.512419i | ||||
\(443\) | 324.334 | − | 86.9050i | 0.732131 | − | 0.196174i | 0.126553 | − | 0.991960i | \(-0.459609\pi\) |
0.605578 | + | 0.795786i | \(0.292942\pi\) | |||||||
\(444\) | 470.224 | + | 423.392i | 1.05906 | + | 0.953585i | ||||
\(445\) | −28.3845 | + | 67.6641i | −0.0637855 | + | 0.152054i | ||||
\(446\) | 4.27120 | + | 4.74364i | 0.00957667 | + | 0.0106360i | ||||
\(447\) | −357.898 | − | 702.414i | −0.800666 | − | 1.57140i | ||||
\(448\) | −55.2595 | − | 9.07676i | −0.123347 | − | 0.0202606i | ||||
\(449\) | 161.430i | 0.359532i | 0.983709 | + | 0.179766i | \(0.0575341\pi\) | ||||
−0.983709 | + | 0.179766i | \(0.942466\pi\) | |||||||
\(450\) | 774.444 | − | 243.954i | 1.72099 | − | 0.542119i | ||||
\(451\) | 3.88225 | + | 6.72426i | 0.00860809 | + | 0.0149097i | ||||
\(452\) | 114.621 | − | 43.9988i | 0.253586 | − | 0.0973424i | ||||
\(453\) | −5.24989 | + | 100.174i | −0.0115892 | + | 0.221134i | ||||
\(454\) | 7.98370 | + | 2.59406i | 0.0175853 | + | 0.00571379i | ||||
\(455\) | 703.361 | − | 326.704i | 1.54585 | − | 0.718031i | ||||
\(456\) | 175.768 | + | 540.959i | 0.385457 | + | 1.18631i | ||||
\(457\) | −103.504 | − | 386.284i | −0.226487 | − | 0.845260i | −0.981803 | − | 0.189900i | \(-0.939184\pi\) |
0.755317 | − | 0.655360i | \(-0.227483\pi\) | |||||||
\(458\) | 227.347 | − | 11.9147i | 0.496390 | − | 0.0260147i | ||||
\(459\) | −1250.17 | − | 131.399i | −2.72369 | − | 0.286272i | ||||
\(460\) | 182.594 | − | 124.288i | 0.396944 | − | 0.270192i | ||||
\(461\) | −59.3700 | + | 43.1348i | −0.128785 | + | 0.0935680i | −0.650313 | − | 0.759666i | \(-0.725362\pi\) |
0.521528 | + | 0.853234i | \(0.325362\pi\) | |||||||
\(462\) | 38.3422 | + | 47.9067i | 0.0829918 | + | 0.103694i | ||||
\(463\) | −38.3481 | − | 242.120i | −0.0828252 | − | 0.522938i | −0.993863 | − | 0.110616i | \(-0.964718\pi\) |
0.911038 | − | 0.412322i | \(-0.135282\pi\) | |||||||
\(464\) | 24.2037 | − | 2.54391i | 0.0521632 | − | 0.00548257i | ||||
\(465\) | 149.403 | − | 610.208i | 0.321298 | − | 1.31228i | ||||
\(466\) | −8.27089 | + | 78.6923i | −0.0177487 | + | 0.168868i | ||||
\(467\) | 399.925 | − | 259.714i | 0.856370 | − | 0.556133i | −0.0401210 | − | 0.999195i | \(-0.512774\pi\) |
0.896491 | + | 0.443062i | \(0.146108\pi\) | |||||||
\(468\) | 719.658 | + | 719.658i | 1.53773 | + | 1.53773i | ||||
\(469\) | 140.155 | + | 127.656i | 0.298838 | + | 0.272188i | ||||
\(470\) | −114.525 | + | 39.9768i | −0.243671 | + | 0.0850571i | ||||
\(471\) | 541.304 | + | 601.179i | 1.14927 | + | 1.27639i | ||||
\(472\) | −76.8012 | + | 118.263i | −0.162714 | + | 0.250558i | ||||
\(473\) | 7.27466 | + | 18.9511i | 0.0153798 | + | 0.0400658i | ||||
\(474\) | −201.572 | − | 116.378i | −0.425257 | − | 0.245522i | ||||
\(475\) | −832.994 | + | 311.190i | −1.75367 | + | 0.655137i | ||||
\(476\) | −112.546 | + | 192.383i | −0.236440 | + | 0.404166i | ||||
\(477\) | 240.180 | − | 1516.44i | 0.503522 | − | 3.17911i | ||||
\(478\) | −19.9965 | + | 381.556i | −0.0418336 | + | 0.798233i | ||||
\(479\) | −17.3665 | − | 81.7029i | −0.0362557 | − | 0.170570i | 0.956295 | − | 0.292405i | \(-0.0944554\pi\) |
−0.992550 | + | 0.121835i | \(0.961122\pi\) | |||||||
\(480\) | 155.662 | − | 36.6316i | 0.324296 | − | 0.0763158i | ||||
\(481\) | −1212.82 | − | 257.793i | −2.52146 | − | 0.535952i | ||||
\(482\) | −282.116 | + | 282.116i | −0.585302 | + | 0.585302i | ||||
\(483\) | −401.318 | + | 776.610i | −0.830886 | + | 1.60789i | ||||
\(484\) | 140.831 | − | 193.837i | 0.290973 | − | 0.400490i | ||||
\(485\) | −431.898 | − | 13.2534i | −0.890511 | − | 0.0273267i | ||||
\(486\) | −832.995 | − | 370.873i | −1.71398 | − | 0.763114i | ||||
\(487\) | −158.893 | − | 196.216i | −0.326269 | − | 0.402908i | 0.587447 | − | 0.809263i | \(-0.300133\pi\) |
−0.913715 | + | 0.406355i | \(0.866800\pi\) | |||||||
\(488\) | −120.436 | − | 46.2309i | −0.246794 | − | 0.0947355i | ||||
\(489\) | −322.693 | − | 444.149i | −0.659904 | − | 0.908279i | ||||
\(490\) | 127.473 | + | 322.181i | 0.260148 | + | 0.657513i | ||||
\(491\) | 320.697 | + | 233.000i | 0.653151 | + | 0.474542i | 0.864343 | − | 0.502902i | \(-0.167734\pi\) |
−0.211192 | + | 0.977445i | \(0.567734\pi\) | |||||||
\(492\) | −67.1643 | + | 43.6170i | −0.136513 | + | 0.0886525i | ||||
\(493\) | 25.0702 | − | 93.5631i | 0.0508523 | − | 0.189783i | ||||
\(494\) | −828.309 | − | 745.812i | −1.67674 | − | 1.50974i | ||||
\(495\) | −110.362 | − | 60.5658i | −0.222953 | − | 0.122355i | ||||
\(496\) | 27.4695 | − | 84.5424i | 0.0553821 | − | 0.170448i | ||||
\(497\) | −15.2367 | − | 30.3316i | −0.0306573 | − | 0.0610294i | ||||
\(498\) | −149.186 | − | 23.6287i | −0.299570 | − | 0.0474473i | ||||
\(499\) | 263.485 | + | 152.123i | 0.528026 | + | 0.304856i | 0.740212 | − | 0.672373i | \(-0.234725\pi\) |
−0.212186 | + | 0.977229i | \(0.568058\pi\) | |||||||
\(500\) | 67.7636 | + | 240.641i | 0.135527 | + | 0.481282i | ||||
\(501\) | −782.084 | − | 1354.61i | −1.56105 | − | 2.70381i | ||||
\(502\) | −368.081 | − | 298.066i | −0.733229 | − | 0.593757i | ||||
\(503\) | 832.278 | − | 424.067i | 1.65463 | − | 0.843075i | 0.658752 | − | 0.752361i | \(-0.271085\pi\) |
0.995877 | − | 0.0907148i | \(-0.0289152\pi\) | |||||||
\(504\) | −339.641 | + | 302.313i | −0.673892 | + | 0.599826i | ||||
\(505\) | 658.917 | − | 14.2895i | 1.30479 | − | 0.0282961i | ||||
\(506\) | −33.4977 | − | 7.12016i | −0.0662010 | − | 0.0140715i | ||||
\(507\) | −1758.40 | − | 471.161i | −3.46824 | − | 0.929311i | ||||
\(508\) | 321.881 | − | 16.8691i | 0.633625 | − | 0.0332069i | ||||
\(509\) | 12.8228 | + | 28.8005i | 0.0251921 | + | 0.0565824i | 0.925703 | − | 0.378250i | \(-0.123474\pi\) |
−0.900511 | + | 0.434833i | \(0.856807\pi\) | |||||||
\(510\) | 85.9132 | − | 630.648i | 0.168457 | − | 1.23656i | ||||
\(511\) | 618.616 | + | 279.679i | 1.21060 | + | 0.547317i | ||||
\(512\) | 22.3488 | − | 3.53971i | 0.0436501 | − | 0.00691349i | ||||
\(513\) | 2621.96 | + | 1006.48i | 5.11103 | + | 1.96194i | ||||
\(514\) | 156.269 | − | 350.987i | 0.304026 | − | 0.682853i | ||||
\(515\) | 43.1336 | + | 26.6999i | 0.0837546 | + | 0.0518444i | ||||
\(516\) | −191.270 | + | 85.1590i | −0.370679 | + | 0.165037i | ||||
\(517\) | 16.7572 | + | 8.53823i | 0.0324124 | + | 0.0165149i | ||||
\(518\) | 146.434 | − | 534.248i | 0.282690 | − | 1.03137i | ||||
\(519\) | −1102.49 | + | 358.221i | −2.12426 | + | 0.690213i | ||||
\(520\) | −228.273 | + | 214.680i | −0.438987 | + | 0.412847i | ||||
\(521\) | −115.297 | + | 24.5072i | −0.221300 | + | 0.0470388i | −0.317227 | − | 0.948350i | \(-0.602752\pi\) |
0.0959271 | + | 0.995388i | \(0.469418\pi\) | |||||||
\(522\) | 107.624 | − | 165.727i | 0.206177 | − | 0.317484i | ||||
\(523\) | 169.094 | − | 208.814i | 0.323316 | − | 0.399262i | −0.589410 | − | 0.807834i | \(-0.700640\pi\) |
0.912726 | + | 0.408572i | \(0.133973\pi\) | |||||||
\(524\) | − | 161.072i | − | 0.307389i | ||||||
\(525\) | −689.252 | − | 709.845i | −1.31286 | − | 1.35209i | ||||
\(526\) | −526.545 | −1.00104 | ||||||||
\(527\) | −274.957 | − | 222.655i | −0.521739 | − | 0.422496i | ||||
\(528\) | −20.7937 | − | 13.5036i | −0.0393820 | − | 0.0255749i | ||||
\(529\) | 8.54868 | + | 40.2184i | 0.0161601 | + | 0.0760272i | ||||
\(530\) | 464.419 | + | 88.2371i | 0.876263 | + | 0.166485i | ||||
\(531\) | 353.814 | + | 1088.93i | 0.666317 | + | 2.05071i | ||||
\(532\) | 354.124 | − | 350.094i | 0.665647 | − | 0.658071i | ||||
\(533\) | 71.2451 | − | 139.826i | 0.133668 | − | 0.262338i | ||||
\(534\) | 47.7262 | + | 107.195i | 0.0893749 | + | 0.200739i | ||||
\(535\) | −271.999 | − | 66.5963i | −0.508410 | − | 0.124479i | ||||
\(536\) | −69.9782 | − | 31.1563i | −0.130556 | − | 0.0581275i | ||||
\(537\) | 345.999 | − | 901.357i | 0.644318 | − | 1.67851i | ||||
\(538\) | 2.75545 | + | 17.3972i | 0.00512165 | + | 0.0323368i | ||||
\(539\) | 22.4101 | − | 48.8221i | 0.0415772 | − | 0.0905791i | ||||
\(540\) | 343.130 | − | 711.139i | 0.635426 | − | 1.31692i | ||||
\(541\) | −241.452 | + | 107.501i | −0.446307 | + | 0.198709i | −0.617569 | − | 0.786517i | \(-0.711882\pi\) |
0.171262 | + | 0.985226i | \(0.445216\pi\) | |||||||
\(542\) | −3.95968 | − | 75.5552i | −0.00730569 | − | 0.139401i | ||||
\(543\) | −91.4141 | + | 341.162i | −0.168350 | + | 0.628291i | ||||
\(544\) | 18.7244 | − | 88.0912i | 0.0344198 | − | 0.161932i | ||||
\(545\) | −243.899 | + | 351.478i | −0.447520 | + | 0.644914i | ||||
\(546\) | 389.984 | − | 1177.28i | 0.714256 | − | 2.15618i | ||||
\(547\) | −76.5893 | − | 150.315i | −0.140017 | − | 0.274799i | 0.810340 | − | 0.585960i | \(-0.199282\pi\) |
−0.950357 | + | 0.311161i | \(0.899282\pi\) | |||||||
\(548\) | 121.931 | − | 150.572i | 0.222502 | − | 0.274767i | ||||
\(549\) | −907.126 | + | 523.730i | −1.65232 | + | 0.953970i | ||||
\(550\) | 19.6815 | − | 33.3922i | 0.0357846 | − | 0.0607131i | ||||
\(551\) | −108.205 | + | 187.417i | −0.196380 | + | 0.340140i | ||||
\(552\) | 55.2557 | − | 348.871i | 0.100101 | − | 0.632012i | ||||
\(553\) | −11.8290 | + | 203.427i | −0.0213906 | + | 0.367860i | ||||
\(554\) | 367.478 | + | 119.401i | 0.663317 | + | 0.215525i | ||||
\(555\) | 199.421 | + | 1569.25i | 0.359317 | + | 2.82748i | ||||
\(556\) | −310.417 | + | 344.753i | −0.558303 | + | 0.620059i | ||||
\(557\) | 839.880 | + | 225.045i | 1.50786 | + | 0.404031i | 0.915725 | − | 0.401805i | \(-0.131617\pi\) |
0.592139 | + | 0.805836i | \(0.298284\pi\) | |||||||
\(558\) | −393.107 | − | 605.332i | −0.704493 | − | 1.08482i | ||||
\(559\) | 241.155 | − | 331.922i | 0.431405 | − | 0.593778i | ||||
\(560\) | −89.8300 | − | 107.381i | −0.160411 | − | 0.191751i | ||||
\(561\) | −79.8345 | + | 58.0032i | −0.142307 | + | 0.103392i | ||||
\(562\) | −273.773 | + | 713.204i | −0.487141 | + | 1.26905i | ||||
\(563\) | 347.975 | − | 281.784i | 0.618072 | − | 0.500505i | −0.268387 | − | 0.963311i | \(-0.586491\pi\) |
0.886460 | + | 0.462806i | \(0.153157\pi\) | |||||||
\(564\) | −78.8984 | + | 177.209i | −0.139891 | + | 0.314200i | ||||
\(565\) | 288.869 | + | 103.758i | 0.511273 | + | 0.183643i | ||||
\(566\) | −290.498 | − | 211.059i | −0.513246 | − | 0.372895i | ||||
\(567\) | 78.2326 | + | 1676.29i | 0.137976 | + | 2.95642i | ||||
\(568\) | 9.69815 | + | 9.69815i | 0.0170742 | + | 0.0170742i | ||||
\(569\) | −6.32564 | + | 29.7598i | −0.0111171 | + | 0.0523020i | −0.983357 | − | 0.181686i | \(-0.941844\pi\) |
0.972239 | + | 0.233988i | \(0.0751778\pi\) | |||||||
\(570\) | −550.076 | + | 1311.29i | −0.965046 | + | 2.30051i | ||||
\(571\) | 850.321 | − | 180.741i | 1.48918 | − | 0.316535i | 0.609760 | − | 0.792586i | \(-0.291266\pi\) |
0.879418 | + | 0.476051i | \(0.157932\pi\) | |||||||
\(572\) | 48.5182 | + | 2.54273i | 0.0848221 | + | 0.00444534i | ||||
\(573\) | −1171.05 | − | 185.476i | −2.04371 | − | 0.323693i | ||||
\(574\) | 60.5166 | + | 35.4026i | 0.105430 | + | 0.0616771i | ||||
\(575\) | 548.636 | + | 62.6577i | 0.954149 | + | 0.108970i | ||||
\(576\) | 91.8626 | − | 159.111i | 0.159484 | − | 0.276234i | ||||
\(577\) | −69.2104 | + | 26.5674i | −0.119949 | + | 0.0460440i | −0.417602 | − | 0.908630i | \(-0.637129\pi\) |
0.297653 | + | 0.954674i | \(0.403796\pi\) | |||||||
\(578\) | 42.1547 | + | 27.3756i | 0.0729320 | + | 0.0473626i | ||||
\(579\) | −37.0290 | + | 33.3410i | −0.0639533 | + | 0.0575839i | ||||
\(580\) | 49.9865 | + | 34.6868i | 0.0861836 | + | 0.0598048i | ||||
\(581\) | 40.1427 | + | 125.996i | 0.0690924 | + | 0.216860i | ||||
\(582\) | −488.604 | + | 488.604i | −0.839526 | + | 0.839526i | ||||
\(583\) | −39.9183 | − | 61.4689i | −0.0684706 | − | 0.105435i | ||||
\(584\) | −272.815 | − | 28.6740i | −0.467148 | − | 0.0490993i | ||||
\(585\) | 188.221 | + | 2537.41i | 0.321745 | + | 4.33745i | ||||
\(586\) | 49.1254 | + | 467.397i | 0.0838318 | + | 0.797606i | ||||
\(587\) | 245.233 | − | 38.8411i | 0.417774 | − | 0.0661688i | 0.0559909 | − | 0.998431i | \(-0.482168\pi\) |
0.361783 | + | 0.932262i | \(0.382168\pi\) | |||||||
\(588\) | 514.966 | + | 204.471i | 0.875792 | + | 0.347739i | ||||
\(589\) | 464.620 | + | 639.495i | 0.788829 | + | 1.08573i | ||||
\(590\) | −338.462 | + | 98.6036i | −0.573664 | + | 0.167125i | ||||
\(591\) | 116.324 | − | 1106.75i | 0.196826 | − | 1.87267i | ||||
\(592\) | 11.7144 | + | 223.524i | 0.0197878 | + | 0.377574i | ||||
\(593\) | −749.830 | + | 200.916i | −1.26447 | + | 0.338814i | −0.827910 | − | 0.560862i | \(-0.810470\pi\) |
−0.436560 | + | 0.899675i | \(0.643803\pi\) | |||||||
\(594\) | −116.429 | + | 37.8302i | −0.196009 | + | 0.0636872i | ||||
\(595\) | −527.126 | + | 180.624i | −0.885925 | + | 0.303569i | ||||
\(596\) | 86.1753 | − | 265.220i | 0.144589 | − | 0.445000i | ||||
\(597\) | 1576.33 | + | 82.6121i | 2.64042 | + | 0.138379i | ||||
\(598\) | 248.047 | + | 646.186i | 0.414795 | + | 1.08058i | ||||
\(599\) | −488.817 | + | 282.219i | −0.816056 | + | 0.471150i | −0.849054 | − | 0.528305i | \(-0.822828\pi\) |
0.0329988 | + | 0.999455i | \(0.489494\pi\) | |||||||
\(600\) | 354.565 | + | 184.695i | 0.590941 | + | 0.307825i | ||||
\(601\) | 858.406 | 1.42830 | 0.714148 | − | 0.699995i | \(-0.246814\pi\) | ||||
0.714148 | + | 0.699995i | \(0.246814\pi\) | |||||||
\(602\) | 141.787 | + | 116.167i | 0.235527 | + | 0.192968i | ||||
\(603\) | −554.176 | + | 282.367i | −0.919031 | + | 0.468270i | ||||
\(604\) | −26.3701 | + | 23.7437i | −0.0436591 | + | 0.0393108i | ||||
\(605\) | 583.063 | − | 137.211i | 0.963741 | − | 0.226795i | ||||
\(606\) | 705.230 | − | 783.237i | 1.16375 | − | 1.29247i | ||||
\(607\) | 279.718 | + | 1043.92i | 0.460821 | + | 1.71981i | 0.670387 | + | 0.742012i | \(0.266128\pi\) |
−0.209566 | + | 0.977795i | \(0.567205\pi\) | |||||||
\(608\) | −91.3467 | + | 179.278i | −0.150241 | + | 0.294865i | ||||
\(609\) | −239.328 | − | 26.5402i | −0.392985 | − | 0.0435799i | ||||
\(610\) | −152.612 | − | 284.117i | −0.250184 | − | 0.465765i | ||||
\(611\) | −39.7329 | − | 378.033i | −0.0650293 | − | 0.618712i | ||||
\(612\) | −460.186 | − | 568.283i | −0.751939 | − | 0.928567i | ||||
\(613\) | −234.626 | + | 189.997i | −0.382751 | + | 0.309945i | −0.801316 | − | 0.598241i | \(-0.795866\pi\) |
0.418565 | + | 0.908187i | \(0.362533\pi\) | |||||||
\(614\) | 46.4874 | − | 4.88603i | 0.0757124 | − | 0.00795770i | ||||
\(615\) | −198.378 | − | 27.0251i | −0.322566 | − | 0.0439433i | ||||
\(616\) | −2.39242 | + | 21.5738i | −0.00388380 | + | 0.0350224i | ||||
\(617\) | −566.304 | − | 288.546i | −0.917834 | − | 0.467660i | −0.0697760 | − | 0.997563i | \(-0.522228\pi\) |
−0.848058 | + | 0.529903i | \(0.822228\pi\) | |||||||
\(618\) | 78.3580 | − | 20.9960i | 0.126793 | − | 0.0339741i | ||||
\(619\) | 318.860 | + | 287.103i | 0.515121 | + | 0.463817i | 0.885218 | − | 0.465176i | \(-0.154009\pi\) |
−0.370097 | + | 0.928993i | \(0.620676\pi\) | |||||||
\(620\) | 190.005 | − | 115.263i | 0.306460 | − | 0.185908i | ||||
\(621\) | −1167.00 | − | 1296.09i | −1.87923 | − | 2.08710i | ||||
\(622\) | 209.002 | + | 410.189i | 0.336015 | + | 0.659467i | ||||
\(623\) | 65.1041 | − | 79.4626i | 0.104501 | − | 0.127548i | ||||
\(624\) | 501.112i | 0.803063i | ||||||||
\(625\) | −264.439 | + | 566.301i | −0.423103 | + | 0.906082i | ||||
\(626\) | 16.2058 | + | 28.0692i | 0.0258878 | + | 0.0448390i | ||||
\(627\) | 205.827 | − | 79.0096i | 0.328273 | − | 0.126012i | ||||
\(628\) | −14.9768 | + | 285.774i | −0.0238484 | + | 0.455054i | ||||
\(629\) | 847.264 | + | 275.293i | 1.34700 | + | 0.437668i | ||||
\(630\) | −1136.60 | + | 18.1410i | −1.80412 | + | 0.0287952i | ||||
\(631\) | −276.633 | − | 851.389i | −0.438404 | − | 1.34927i | −0.889558 | − | 0.456823i | \(-0.848987\pi\) |
0.451154 | − | 0.892446i | \(-0.351013\pi\) | |||||||
\(632\) | −21.3100 | − | 79.5301i | −0.0337184 | − | 0.125839i | ||||
\(633\) | −2140.08 | + | 112.157i | −3.38086 | + | 0.177183i | ||||
\(634\) | 115.361 | + | 12.1249i | 0.181957 | + | 0.0191244i | ||||
\(635\) | 637.078 | + | 493.414i | 1.00327 | + | 0.777031i | ||||
\(636\) | 611.583 | − | 444.341i | 0.961608 | − | 0.698649i | ||||
\(637\) | −1074.25 | + | 157.562i | −1.68643 | + | 0.247350i | ||||
\(638\) | −1.47568 | − | 9.31710i | −0.00231298 | − | 0.0146036i | ||||
\(639\) | 110.752 | − | 11.6405i | 0.173321 | − | 0.0182168i | ||||
\(640\) | 48.0992 | + | 29.7736i | 0.0751550 | + | 0.0465212i | ||||
\(641\) | −92.0839 | + | 876.119i | −0.143657 | + | 1.36680i | 0.650693 | + | 0.759341i | \(0.274478\pi\) |
−0.794350 | + | 0.607460i | \(0.792188\pi\) | |||||||
\(642\) | −375.568 | + | 243.896i | −0.584996 | + | 0.379901i | ||||
\(643\) | 292.987 | + | 292.987i | 0.455657 | + | 0.455657i | 0.897227 | − | 0.441570i | \(-0.145578\pi\) |
−0.441570 | + | 0.897227i | \(0.645578\pi\) | |||||||
\(644\) | −294.640 | + | 93.8734i | −0.457516 | + | 0.145766i | ||||
\(645\) | −501.200 | − | 150.917i | −0.777054 | − | 0.233980i | ||||
\(646\) | 535.859 | + | 595.131i | 0.829502 | + | 0.921256i | ||||
\(647\) | 41.5075 | − | 63.9160i | 0.0641538 | − | 0.0987882i | −0.805138 | − | 0.593088i | \(-0.797909\pi\) |
0.869292 | + | 0.494300i | \(0.164575\pi\) | |||||||
\(648\) | −242.995 | − | 633.024i | −0.374992 | − | 0.976888i | ||||
\(649\) | 47.3350 | + | 27.3289i | 0.0729353 | + | 0.0421092i | ||||
\(650\) | −782.671 | + | 33.9626i | −1.20411 | + | 0.0522501i | ||||
\(651\) | −444.115 | + | 759.162i | −0.682204 | + | 1.16615i | ||||
\(652\) | 30.3802 | − | 191.813i | 0.0465955 | − | 0.294192i | ||||
\(653\) | 35.9443 | − | 685.858i | 0.0550449 | − | 1.05032i | −0.821871 | − | 0.569674i | \(-0.807069\pi\) |
0.876915 | − | 0.480645i | \(-0.159597\pi\) | |||||||
\(654\) | 142.239 | + | 669.182i | 0.217491 | + | 1.02321i | ||||
\(655\) | 262.894 | − | 305.021i | 0.401365 | − | 0.465681i | ||||
\(656\) | −27.7102 | − | 5.88999i | −0.0422412 | − | 0.00897864i | ||||
\(657\) | −1574.97 | + | 1574.97i | −2.39721 | + | 2.39721i | ||||
\(658\) | 169.638 | − | 7.91704i | 0.257809 | − | 0.0120320i | ||||
\(659\) | 25.9149 | − | 35.6687i | 0.0393245 | − | 0.0541256i | −0.788902 | − | 0.614519i | \(-0.789350\pi\) |
0.828226 | + | 0.560394i | \(0.189350\pi\) | |||||||
\(660\) | −17.3370 | − | 59.5101i | −0.0262681 | − | 0.0901668i | ||||
\(661\) | −563.693 | − | 250.972i | −0.852789 | − | 0.379686i | −0.0666802 | − | 0.997774i | \(-0.521241\pi\) |
−0.786109 | + | 0.618088i | \(0.787907\pi\) | |||||||
\(662\) | −237.877 | − | 293.753i | −0.359330 | − | 0.443736i | ||||
\(663\) | 1862.00 | + | 714.754i | 2.80844 | + | 1.07806i | ||||
\(664\) | −31.4062 | − | 43.2269i | −0.0472985 | − | 0.0651007i | ||||
\(665\) | 1242.01 | − | 84.9855i | 1.86768 | − | 0.127798i | ||||
\(666\) | 1470.32 | + | 1068.25i | 2.20768 | + | 1.60398i | ||||
\(667\) | 112.709 | − | 73.1938i | 0.168978 | − | 0.109736i | ||||
\(668\) | 143.208 | − | 534.460i | 0.214384 | − | 0.800091i | ||||
\(669\) | 18.9644 | + | 17.0756i | 0.0283474 | + | 0.0255241i | ||||
\(670\) | −81.6655 | − | 173.216i | −0.121889 | − | 0.258531i | ||||
\(671\) | −15.4518 | + | 47.5557i | −0.0230280 | + | 0.0708729i | ||||
\(672\) | −223.502 | − | 12.9964i | −0.332593 | − | 0.0193399i | ||||
\(673\) | 145.438 | + | 23.0351i | 0.216104 | + | 0.0342275i | 0.263548 | − | 0.964646i | \(-0.415107\pi\) |
−0.0474436 | + | 0.998874i | \(0.515107\pi\) | |||||||
\(674\) | −420.143 | − | 242.569i | −0.623357 | − | 0.359895i | ||||
\(675\) | 1810.47 | − | 786.640i | 2.68218 | − | 1.16539i | ||||
\(676\) | −321.982 | − | 557.688i | −0.476304 | − | 0.824983i | ||||
\(677\) | −737.014 | − | 596.823i | −1.08865 | − | 0.881569i | −0.0951546 | − | 0.995463i | \(-0.530335\pi\) |
−0.993493 | + | 0.113893i | \(0.963668\pi\) | |||||||
\(678\) | 437.340 | − | 222.836i | 0.645044 | − | 0.328666i | ||||
\(679\) | 574.254 | + | 190.227i | 0.845735 | + | 0.280158i | ||||
\(680\) | 179.236 | − | 136.257i | 0.263583 | − | 0.200378i | ||||
\(681\) | 32.8269 | + | 6.97756i | 0.0482039 | + | 0.0102461i | ||||
\(682\) | −33.2817 | − | 8.91780i | −0.0488001 | − | 0.0130759i | ||||
\(683\) | 619.571 | − | 32.4704i | 0.907132 | − | 0.0475408i | 0.406940 | − | 0.913455i | \(-0.366596\pi\) |
0.500192 | + | 0.865914i | \(0.333263\pi\) | |||||||
\(684\) | 664.497 | + | 1492.49i | 0.971487 | + | 2.18200i | ||||
\(685\) | 476.657 | − | 86.1278i | 0.695849 | − | 0.125734i | ||||
\(686\) | −42.4136 | − | 483.217i | −0.0618275 | − | 0.704399i | ||||
\(687\) | 898.940 | − | 142.378i | 1.30850 | − | 0.207246i | ||||
\(688\) | −69.1444 | − | 26.5421i | −0.100501 | − | 0.0385786i | ||||
\(689\) | −602.520 | + | 1353.28i | −0.874485 | + | 1.96413i | ||||
\(690\) | 674.048 | − | 570.469i | 0.976881 | − | 0.826767i | ||||
\(691\) | 477.588 | − | 212.636i | 0.691154 | − | 0.307722i | −0.0309352 | − | 0.999521i | \(-0.509849\pi\) |
0.722089 | + | 0.691800i | \(0.243182\pi\) | |||||||
\(692\) | −365.374 | − | 186.167i | −0.527997 | − | 0.269028i | ||||
\(693\) | 123.908 | + | 125.335i | 0.178800 | + | 0.180858i | ||||
\(694\) | 848.468 | − | 275.684i | 1.22258 | − | 0.397239i | ||||
\(695\) | −1150.52 | + | 146.209i | −1.65543 | + | 0.210372i | ||||
\(696\) | 95.1697 | − | 20.2290i | 0.136738 | − | 0.0290646i | ||||
\(697\) | −61.4098 | + | 94.5628i | −0.0881058 | + | 0.135671i | ||||
\(698\) | −576.795 | + | 712.282i | −0.826354 | + | 1.02046i | ||||
\(699\) | 316.333i | 0.452551i | ||||||||
\(700\) | 5.15093 | − | 349.962i | 0.00735847 | − | 0.499946i | ||||
\(701\) | 1138.78 | 1.62451 | 0.812253 | − | 0.583305i | \(-0.198241\pi\) | ||||
0.812253 | + | 0.583305i | \(0.198241\pi\) | |||||||
\(702\) | 1922.89 | + | 1557.12i | 2.73915 | + | 2.21812i | ||||
\(703\) | −1669.25 | − | 1084.03i | −2.37447 | − | 1.54200i | ||||
\(704\) | −1.82350 | − | 8.57892i | −0.00259021 | − | 0.0121860i | ||||
\(705\) | −438.641 | + | 206.805i | −0.622186 | + | 0.293340i | ||||
\(706\) | −65.8889 | − | 202.785i | −0.0933270 | − | 0.287231i | ||||
\(707\) | −889.879 | − | 243.910i | −1.25867 | − | 0.344993i | ||||
\(708\) | −255.937 | + | 502.304i | −0.361493 | + | 0.709469i | ||||
\(709\) | 399.342 | + | 896.936i | 0.563246 | + | 1.26507i | 0.940762 | + | 0.339069i | \(0.110112\pi\) |
−0.377515 | + | 0.926003i | \(0.623221\pi\) | |||||||
\(710\) | 2.53647 | + | 34.1942i | 0.00357250 | + | 0.0481608i | ||||
\(711\) | −610.734 | − | 271.916i | −0.858978 | − | 0.382442i | ||||
\(712\) | −14.8751 | + | 38.7511i | −0.0208920 | + | 0.0544256i | ||||
\(713\) | −76.7889 | − | 484.826i | −0.107698 | − | 0.679981i | ||||
\(714\) | −367.081 | + | 811.938i | −0.514119 | + | 1.13717i | ||||
\(715\) | 87.7286 | + | 84.0043i | 0.122697 | + | 0.117489i | ||||
\(716\) | 312.007 | − | 138.914i | 0.435763 | − | 0.194014i | ||||
\(717\) | 79.9430 | + | 1525.40i | 0.111496 | + | 2.12748i | ||||
\(718\) | 101.111 | − | 377.350i | 0.140823 | − | 0.525557i | ||||
\(719\) | −7.46776 | + | 35.1331i | −0.0103863 | + | 0.0488638i | −0.983036 | − | 0.183415i | \(-0.941285\pi\) |
0.972649 | + | 0.232279i | \(0.0746181\pi\) | |||||||
\(720\) | 433.653 | − | 151.373i | 0.602295 | − | 0.210241i | ||||
\(721\) | −47.2188 | − | 53.0493i | −0.0654907 | − | 0.0735774i | ||||
\(722\) | −580.500 | − | 1139.30i | −0.804017 | − | 1.57797i | ||||
\(723\) | −1003.78 | + | 1239.57i | −1.38836 | + | 1.71448i | ||||
\(724\) | −108.202 | + | 62.4705i | −0.149450 | + | 0.0862853i | ||||
\(725\) | 38.0451 | + | 147.272i | 0.0524760 | + | 0.203133i | ||||
\(726\) | 478.935 | − | 829.540i | 0.659690 | − | 1.14262i | ||||
\(727\) | −10.3540 | + | 65.3723i | −0.0142420 | + | 0.0899207i | −0.993786 | − | 0.111312i | \(-0.964495\pi\) |
0.979543 | + | 0.201233i | \(0.0644947\pi\) | |||||||
\(728\) | 392.025 | − | 196.929i | 0.538496 | − | 0.270507i | ||||
\(729\) | −1414.96 | − | 459.748i | −1.94096 | − | 0.630655i | ||||
\(730\) | −469.827 | − | 499.575i | −0.643599 | − | 0.684349i | ||||
\(731\) | −197.247 | + | 219.065i | −0.269831 | + | 0.299678i | ||||
\(732\) | −498.166 | − | 133.483i | −0.680554 | − | 0.182354i | ||||
\(733\) | 7.65981 | + | 11.7951i | 0.0104499 | + | 0.0160915i | 0.843857 | − | 0.536568i | \(-0.180280\pi\) |
−0.833407 | + | 0.552660i | \(0.813613\pi\) | |||||||
\(734\) | −255.535 | + | 351.714i | −0.348140 | + | 0.479174i | ||||
\(735\) | 641.461 | + | 1227.71i | 0.872736 | + | 1.67035i | ||||
\(736\) | 101.086 | − | 73.4432i | 0.137345 | − | 0.0997870i | ||||
\(737\) | −10.6403 | + | 27.7190i | −0.0144373 | + | 0.0376106i | ||||
\(738\) | −178.761 | + | 144.758i | −0.242223 | + | 0.196148i | ||||
\(739\) | 268.040 | − | 602.028i | 0.362706 | − | 0.814652i | −0.636357 | − | 0.771394i | \(-0.719560\pi\) |
0.999064 | − | 0.0432578i | \(-0.0137737\pi\) | |||||||
\(740\) | −342.642 | + | 442.406i | −0.463029 | + | 0.597845i | ||||
\(741\) | −3604.98 | − | 2619.17i | −4.86502 | − | 3.53465i | ||||
\(742\) | −587.955 | − | 303.829i | −0.792392 | − | 0.409474i | ||||
\(743\) | 274.329 | + | 274.329i | 0.369217 | + | 0.369217i | 0.867192 | − | 0.497974i | \(-0.165923\pi\) |
−0.497974 | + | 0.867192i | \(0.665923\pi\) | |||||||
\(744\) | 73.8880 | − | 347.616i | 0.0993119 | − | 0.467226i | ||||
\(745\) | 596.069 | − | 361.595i | 0.800093 | − | 0.485362i | ||||
\(746\) | 513.112 | − | 109.065i | 0.687818 | − | 0.146200i | ||||
\(747\) | −433.246 | − | 22.7055i | −0.579981 | − | 0.0303955i | ||||
\(748\) | −34.4779 | − | 5.46077i | −0.0460935 | − | 0.00730049i | ||||
\(749\) | 338.395 | + | 197.963i | 0.451796 | + | 0.264304i | ||||
\(750\) | 369.986 | + | 928.459i | 0.493315 | + | 1.23795i | ||||
\(751\) | −92.3351 | + | 159.929i | −0.122950 | + | 0.212955i | −0.920930 | − | 0.389729i | \(-0.872569\pi\) |
0.797980 | + | 0.602684i | \(0.205902\pi\) | |||||||
\(752\) | −64.0612 | + | 24.5908i | −0.0851877 | + | 0.0327005i | ||||
\(753\) | −1588.03 | − | 1031.28i | −2.10894 | − | 1.36956i | ||||
\(754\) | −141.687 | + | 127.575i | −0.187913 | + | 0.169198i | ||||
\(755\) | −88.6903 | + | 1.92337i | −0.117471 | + | 0.00254751i | ||||
\(756\) | −744.367 | + | 817.247i | −0.984612 | + | 1.08102i | ||||
\(757\) | 470.454 | − | 470.454i | 0.621471 | − | 0.621471i | −0.324436 | − | 0.945907i | \(-0.605175\pi\) |
0.945907 | + | 0.324436i | \(0.105175\pi\) | |||||||
\(758\) | −349.732 | − | 538.541i | −0.461388 | − | 0.710476i | ||||
\(759\) | −136.161 | − | 14.3111i | −0.179395 | − | 0.0188552i | ||||
\(760\) | −465.592 | + | 190.406i | −0.612621 | + | 0.250534i | ||||
\(761\) | 34.8320 | + | 331.404i | 0.0457713 | + | 0.435485i | 0.993278 | + | 0.115750i | \(0.0369272\pi\) |
−0.947507 | + | 0.319735i | \(0.896406\pi\) | |||||||
\(762\) | 1272.74 | − | 201.581i | 1.67026 | − | 0.264543i | ||||
\(763\) | 467.611 | − | 374.253i | 0.612859 | − | 0.490502i | ||||
\(764\) | −246.525 | − | 339.313i | −0.322677 | − | 0.444127i | ||||
\(765\) | 56.0719 | − | 1827.25i | 0.0732966 | − | 2.38856i | ||||
\(766\) | 66.3501 | − | 631.279i | 0.0866189 | − | 0.824124i | ||||
\(767\) | −57.8158 | − | 1103.19i | −0.0753792 | − | 1.43832i | ||||
\(768\) | 87.3787 | − | 23.4131i | 0.113774 | − | 0.0304857i | ||||
\(769\) | 900.828 | − | 292.697i | 1.17143 | − | 0.380620i | 0.342252 | − | 0.939608i | \(-0.388810\pi\) |
0.829176 | + | 0.558988i | \(0.188810\pi\) | |||||||
\(770\) | −39.7423 | + | 36.9494i | −0.0516133 | + | 0.0479863i | ||||
\(771\) | 474.646 | − | 1460.81i | 0.615624 | − | 1.89469i | ||||
\(772\) | −17.6020 | − | 0.922479i | −0.0228005 | − | 0.00119492i | ||||
\(773\) | 83.5842 | + | 217.744i | 0.108130 | + | 0.281687i | 0.976960 | − | 0.213423i | \(-0.0684611\pi\) |
−0.868830 | + | 0.495110i | \(0.835128\pi\) | |||||||
\(774\) | −520.799 | + | 300.683i | −0.672867 | + | 0.388480i | ||||
\(775\) | 547.938 | + | 91.8440i | 0.707017 | + | 0.118508i | ||||
\(776\) | −244.433 | −0.314991 | ||||||||
\(777\) | 358.957 | − | 2185.34i | 0.461978 | − | 2.81253i | ||||
\(778\) | −829.522 | + | 422.662i | −1.06622 | + | 0.543268i | ||||
\(779\) | 187.206 | − | 168.561i | 0.240316 | − | 0.216381i | ||||
\(780\) | −817.890 | + | 948.952i | −1.04858 | + | 1.21661i | ||||
\(781\) | 3.55720 | − | 3.95067i | 0.00455467 | − | 0.00505847i | ||||
\(782\) | −128.713 | − | 480.363i | −0.164595 | − | 0.614275i | ||||
\(783\) | 218.101 | − | 428.047i | 0.278545 | − | 0.546676i | ||||
\(784\) | 77.6655 | + | 179.956i | 0.0990632 | + | 0.229535i | ||||
\(785\) | −494.789 | + | 516.725i | −0.630304 | + | 0.658248i | ||||
\(786\) | −67.3103 | − | 640.415i | −0.0856365 | − | 0.814777i | ||||
\(787\) | 845.939 | + | 1044.65i | 1.07489 | + | 1.32738i | 0.941762 | + | 0.336281i | \(0.109169\pi\) |
0.133129 | + | 0.991099i | \(0.457497\pi\) | |||||||
\(788\) | 305.933 | − | 247.739i | 0.388239 | − | 0.314390i | ||||
\(789\) | −2093.52 | + | 220.038i | −2.65338 | + | 0.278882i | ||||
\(790\) | 89.4506 | − | 185.387i | 0.113229 | − | 0.234667i | ||||
\(791\) | −346.194 | − | 254.565i | −0.437667 | − | 0.321827i | ||||
\(792\) | −63.4516 | − | 32.3302i | −0.0801157 | − | 0.0408210i | ||||
\(793\) | 976.191 | − | 261.570i | 1.23101 | − | 0.329848i | ||||
\(794\) | 58.3765 | + | 52.5624i | 0.0735220 | + | 0.0661995i | ||||
\(795\) | 1883.38 | + | 156.750i | 2.36904 | + | 0.197170i | ||||
\(796\) | 373.631 | + | 414.959i | 0.469385 | + | 0.521305i | ||||
\(797\) | 294.518 | + | 578.024i | 0.369533 | + | 0.725250i | 0.998644 | − | 0.0520661i | \(-0.0165807\pi\) |
−0.629110 | + | 0.777316i | \(0.716581\pi\) | |||||||
\(798\) | 1261.68 | − | 1539.94i | 1.58105 | − | 1.92975i | ||||
\(799\) | 273.109i | 0.341814i | ||||||||
\(800\) | 42.4902 | + | 134.887i | 0.0531127 | + | 0.168609i | ||||
\(801\) | 168.514 | + | 291.875i | 0.210379 | + | 0.364388i | ||||
\(802\) | −233.100 | + | 89.4785i | −0.290648 | + | 0.111569i | ||||
\(803\) | −5.56476 | + | 106.182i | −0.00692996 | + | 0.132232i | ||||
\(804\) | −291.250 | − | 94.6329i | −0.362251 | − | 0.117703i | ||||
\(805\) | −711.174 | − | 303.130i | −0.883446 | − | 0.376559i | ||||
\(806\) | 215.198 | + | 662.312i | 0.266995 | + | 0.821726i | ||||
\(807\) | 18.2257 | + | 68.0191i | 0.0225845 | + | 0.0842863i | ||||
\(808\) | 372.316 | − | 19.5123i | 0.460788 | − | 0.0241489i | ||||
\(809\) | 1218.25 | + | 128.043i | 1.50587 | + | 0.158273i | 0.821225 | − | 0.570604i | \(-0.193291\pi\) |
0.684644 | + | 0.728877i | \(0.259958\pi\) | |||||||
\(810\) | 573.033 | − | 1595.36i | 0.707448 | − | 1.96958i | ||||
\(811\) | −379.112 | + | 275.441i | −0.467463 | + | 0.339632i | −0.796452 | − | 0.604702i | \(-0.793292\pi\) |
0.328989 | + | 0.944334i | \(0.393292\pi\) | |||||||
\(812\) | −53.2255 | − | 66.5027i | −0.0655487 | − | 0.0818999i | ||||
\(813\) | −47.3172 | − | 298.749i | −0.0582008 | − | 0.367465i | ||||
\(814\) | 86.2833 | − | 9.06874i | 0.105999 | − | 0.0111410i | ||||
\(815\) | 370.599 | − | 313.651i | 0.454723 | − | 0.384847i | ||||
\(816\) | 37.6348 | − | 358.071i | 0.0461211 | − | 0.438813i | ||||
\(817\) | 552.342 | − | 358.695i | 0.676061 | − | 0.439039i | ||||
\(818\) | 67.1663 | + | 67.1663i | 0.0821104 | + | 0.0821104i | ||||
\(819\) | 760.538 | − | 3479.99i | 0.928618 | − | 4.24907i | ||||
\(820\) | −42.8613 | − | 56.3811i | −0.0522699 | − | 0.0687575i | ||||
\(821\) | 148.189 | + | 164.580i | 0.180498 | + | 0.200463i | 0.826603 | − | 0.562785i | \(-0.190270\pi\) |
−0.646106 | + | 0.763248i | \(0.723603\pi\) | |||||||
\(822\) | 421.869 | − | 649.622i | 0.513223 | − | 0.790294i | ||||
\(823\) | −203.494 | − | 530.120i | −0.247259 | − | 0.644131i | 0.752639 | − | 0.658434i | \(-0.228781\pi\) |
−0.999898 | + | 0.0143022i | \(0.995447\pi\) | |||||||
\(824\) | 24.8518 | + | 14.3482i | 0.0301600 | + | 0.0174129i | ||||
\(825\) | 64.2986 | − | 140.990i | 0.0779377 | − | 0.170898i | ||||
\(826\) | 493.537 | + | 2.82483i | 0.597503 | + | 0.00341989i | ||||
\(827\) | 101.168 | − | 638.752i | 0.122332 | − | 0.772372i | −0.847893 | − | 0.530167i | \(-0.822129\pi\) |
0.970225 | − | 0.242205i | \(-0.0778708\pi\) | |||||||
\(828\) | 53.0966 | − | 1013.14i | 0.0641264 | − | 1.22360i | ||||
\(829\) | −105.699 | − | 497.273i | −0.127501 | − | 0.599847i | −0.994782 | − | 0.102027i | \(-0.967467\pi\) |
0.867280 | − | 0.497820i | \(-0.165866\pi\) | |||||||
\(830\) | 11.0792 | − | 133.118i | 0.0133484 | − | 0.160383i | ||||
\(831\) | 1510.97 | + | 321.166i | 1.81825 | + | 0.386482i | ||||
\(832\) | −125.345 | + | 125.345i | −0.150655 | + | 0.150655i | ||||
\(833\) | 779.445 | − | 31.9070i | 0.935709 | − | 0.0383038i | ||||
\(834\) | −1090.13 | + | 1500.44i | −1.30711 | + | 1.79909i | ||||
\(835\) | 1143.51 | − | 778.367i | 1.36948 | − | 0.932176i | ||||
\(836\) | 71.2474 | + | 31.7214i | 0.0852242 | + | 0.0379443i | ||||
\(837\) | −1104.29 | − | 1363.69i | −1.31934 | − | 1.62925i | ||||
\(838\) | −60.7043 | − | 23.3022i | −0.0724395 | − | 0.0278069i | ||||
\(839\) | −840.077 | − | 1156.27i | −1.00128 | − | 1.37815i | −0.924534 | − | 0.381099i | \(-0.875546\pi\) |
−0.0767500 | − | 0.997050i | \(-0.524454\pi\) | |||||||
\(840\) | −402.033 | − | 389.401i | −0.478610 | − | 0.463573i | ||||
\(841\) | −650.435 | − | 472.569i | −0.773407 | − | 0.561913i | ||||
\(842\) | −428.005 | + | 277.950i | −0.508319 | + | 0.330107i | ||||
\(843\) | −790.469 | + | 2950.07i | −0.937685 | + | 3.49949i | ||||
\(844\) | −563.362 | − | 507.254i | −0.667491 | − | 0.601011i | ||||
\(845\) | 300.498 | − | 1581.61i | 0.355619 | − | 1.87173i | ||||
\(846\) | −172.171 | + | 529.887i | −0.203511 | + | 0.626344i | ||||
\(847\) | −837.172 | − | 48.6806i | −0.988397 | − | 0.0574742i | ||||
\(848\) | 264.123 | + | 41.8329i | 0.311465 | + | 0.0493313i | ||||
\(849\) | −1243.20 | − | 717.764i | −1.46432 | − | 0.845423i | ||||
\(850\) | 561.811 | + | 34.5125i | 0.660954 | + | 0.0406030i | ||||
\(851\) | 617.998 | + | 1070.40i | 0.726203 | + | 1.25782i | ||||
\(852\) | 42.6121 | + | 34.5066i | 0.0500142 | + | 0.0405007i | ||||
\(853\) | 901.666 | − | 459.422i | 1.05705 | − | 0.538595i | 0.163032 | − | 0.986621i | \(-0.447873\pi\) |
0.894021 | + | 0.448026i | \(0.147873\pi\) | |||||||
\(854\) | 91.3457 | + | 442.178i | 0.106962 | + | 0.517772i | ||||
\(855\) | −1177.61 | + | 3910.87i | −1.37732 | + | 4.57412i | ||||
\(856\) | −154.949 | − | 32.9355i | −0.181015 | − | 0.0384760i | ||||
\(857\) | −322.533 | − | 86.4225i | −0.376352 | − | 0.100843i | 0.0656843 | − | 0.997840i | \(-0.479077\pi\) |
−0.442036 | + | 0.896997i | \(0.645744\pi\) | |||||||
\(858\) | 193.969 | − | 10.1655i | 0.226071 | − | 0.0118479i | ||||
\(859\) | −523.255 | − | 1175.25i | −0.609144 | − | 1.36816i | −0.910047 | − | 0.414506i | \(-0.863955\pi\) |
0.300902 | − | 0.953655i | \(-0.402712\pi\) | |||||||
\(860\) | −87.6177 | − | 163.117i | −0.101881 | − | 0.189671i | ||||
\(861\) | 255.406 | + | 115.470i | 0.296638 | + | 0.134111i | ||||
\(862\) | 452.723 | − | 71.7043i | 0.525201 | − | 0.0831836i | ||||
\(863\) | −947.724 | − | 363.797i | −1.09817 | − | 0.421549i | −0.259257 | − | 0.965808i | \(-0.583478\pi\) |
−0.838917 | + | 0.544259i | \(0.816811\pi\) | |||||||
\(864\) | 181.673 | − | 408.045i | 0.210270 | − | 0.472275i | ||||
\(865\) | −388.053 | − | 948.889i | −0.448616 | − | 1.09698i | ||||
\(866\) | 144.487 | − | 64.3296i | 0.166844 | − | 0.0742836i | ||||
\(867\) | 179.045 | + | 91.2280i | 0.206511 | + | 0.105223i | ||||
\(868\) | −300.981 | + | 78.8040i | −0.346752 | + | 0.0907880i | ||||
\(869\) | −30.3520 | + | 9.86196i | −0.0349275 | + | 0.0113486i | ||||
\(870\) | 213.239 | + | 117.024i | 0.245102 | + | 0.134510i | ||||
\(871\) | 586.982 | − | 124.767i | 0.673917 | − | 0.143246i | ||||
\(872\) | −131.807 | + | 202.964i | −0.151154 | + | 0.232757i | ||||
\(873\) | −1249.01 | + | 1542.40i | −1.43071 | + | 1.76678i | ||||
\(874\) | 1111.08i | 1.27125i | ||||||||
\(875\) | 580.946 | − | 654.314i | 0.663938 | − | 0.747788i | ||||
\(876\) | −1096.68 | −1.25192 | ||||||||
\(877\) | −262.002 | − | 212.165i | −0.298748 | − | 0.241921i | 0.468212 | − | 0.883616i | \(-0.344898\pi\) |
−0.766960 | + | 0.641695i | \(0.778232\pi\) | |||||||
\(878\) | 344.629 | + | 223.805i | 0.392516 | + | 0.254903i | ||||
\(879\) | 390.641 | + | 1837.82i | 0.444415 | + | 2.09081i | ||||
\(880\) | 10.5489 | − | 19.2221i | 0.0119874 | − | 0.0218433i | ||||
\(881\) | 444.292 | + | 1367.39i | 0.504304 | + | 1.55209i | 0.801937 | + | 0.597408i | \(0.203803\pi\) |
−0.297633 | + | 0.954680i | \(0.596197\pi\) | |||||||
\(882\) | 1532.40 | + | 429.464i | 1.73741 | + | 0.486921i | ||||
\(883\) | −303.501 | + | 595.654i | −0.343716 | + | 0.674580i | −0.996557 | − | 0.0829150i | \(-0.973577\pi\) |
0.652841 | + | 0.757495i | \(0.273577\pi\) | |||||||
\(884\) | 286.965 | + | 644.534i | 0.324621 | + | 0.729111i | ||||
\(885\) | −1304.50 | + | 533.483i | −1.47401 | + | 0.602805i | ||||
\(886\) | 433.804 | + | 193.142i | 0.489621 | + | 0.217993i | ||||
\(887\) | −6.60957 | + | 17.2185i | −0.00745160 | + | 0.0194121i | −0.937256 | − | 0.348643i | \(-0.886643\pi\) |
0.929804 | + | 0.368055i | \(0.119976\pi\) | |||||||
\(888\) | 139.984 | + | 883.825i | 0.157640 | + | 0.995298i | ||||
\(889\) | −657.864 | − | 916.457i | −0.740004 | − | 1.03089i | ||||
\(890\) | −91.4166 | + | 49.1042i | −0.102715 | + | 0.0551732i | ||||
\(891\) | −240.100 | + | 106.899i | −0.269472 | + | 0.119977i | ||||
\(892\) | 0.472448 | + | 9.01484i | 0.000529650 | + | 0.0101063i | ||||
\(893\) | 157.925 | − | 589.383i | 0.176847 | − | 0.660004i | ||||
\(894\) | 231.796 | − | 1090.51i | 0.259280 | − | 1.21982i | ||||
\(895\) | 817.574 | + | 246.181i | 0.913491 | + | 0.275063i | ||||
\(896\) | −52.6547 | − | 59.1564i | −0.0587664 | − | 0.0660228i | ||||
\(897\) | 1256.26 | + | 2465.55i | 1.40051 | + | 2.74866i | ||||
\(898\) | −143.672 | + | 177.420i | −0.159991 | + | 0.197572i | ||||
\(899\) | 117.097 | − | 67.6061i | 0.130253 | − | 0.0752015i | ||||
\(900\) | 1068.27 | + | 421.133i | 1.18697 | + | 0.467925i | ||||
\(901\) | 532.168 | − | 921.742i | 0.590642 | − | 1.02302i | ||||
\(902\) | −1.71775 | + | 10.8455i | −0.00190438 | + | 0.0120238i | ||||
\(903\) | 612.283 | + | 402.622i | 0.678054 | + | 0.445872i | ||||
\(904\) | 165.132 | + | 53.6548i | 0.182669 | + | 0.0593527i | ||||
\(905\) | −306.863 | − | 58.3023i | −0.339075 | − | 0.0644224i | ||||
\(906\) | −94.9240 | + | 105.424i | −0.104773 | + | 0.116362i | ||||
\(907\) | 413.686 | + | 110.847i | 0.456104 | + | 0.122213i | 0.479554 | − | 0.877512i | \(-0.340799\pi\) |
−0.0234504 | + | 0.999725i | \(0.507465\pi\) | |||||||
\(908\) | 6.46579 | + | 9.95645i | 0.00712092 | + | 0.0109653i | ||||
\(909\) | 1779.35 | − | 2449.06i | 1.95748 | − | 2.69423i | ||||
\(910\) | 1063.79 | + | 266.922i | 1.16900 | + | 0.293321i | ||||
\(911\) | −805.460 | + | 585.201i | −0.884149 | + | 0.642372i | −0.934346 | − | 0.356367i | \(-0.884015\pi\) |
0.0501966 | + | 0.998739i | \(0.484015\pi\) | |||||||
\(912\) | −288.272 | + | 750.974i | −0.316087 | + | 0.823436i | ||||
\(913\) | −16.0950 | + | 13.0335i | −0.0176287 | + | 0.0142755i | ||||
\(914\) | 230.034 | − | 516.664i | 0.251678 | − | 0.565278i | ||||
\(915\) | −725.509 | − | 1065.86i | −0.792906 | − | 1.16487i | ||||
\(916\) | 260.469 | + | 189.242i | 0.284355 | + | 0.206596i | ||||
\(917\) | −474.552 | + | 304.330i | −0.517505 | + | 0.331876i | ||||
\(918\) | −1257.06 | − | 1257.06i | −1.36935 | − | 1.36935i | ||||
\(919\) | −93.3919 | + | 439.374i | −0.101623 | + | 0.478100i | 0.897675 | + | 0.440657i | \(0.145255\pi\) |
−0.999299 | + | 0.0374430i | \(0.988079\pi\) | |||||||
\(920\) | 311.296 | + | 25.9086i | 0.338366 | + | 0.0281615i | ||||
\(921\) | 182.790 | − | 38.8532i | 0.198469 | − | 0.0421859i | ||||
\(922\) | −103.640 | − | 5.43156i | −0.112408 | − | 0.00589106i | ||||
\(923\) | −106.123 | − | 16.8083i | −0.114977 | − | 0.0182105i | ||||
\(924\) | −0.496675 | + | 86.7762i | −0.000537527 | + | 0.0939137i | ||||
\(925\) | −1370.93 | + | 278.538i | −1.48209 | + | 0.301122i | ||||
\(926\) | 173.339 | − | 300.232i | 0.187191 | − | 0.324225i | ||||
\(927\) | 217.527 | − | 83.5008i | 0.234657 | − | 0.0900764i | ||||
\(928\) | 28.8652 | + | 18.7453i | 0.0311047 | + | 0.0201996i | ||||
\(929\) | −375.717 | + | 338.297i | −0.404432 | + | 0.364152i | −0.846098 | − | 0.533028i | \(-0.821054\pi\) |
0.441666 | + | 0.897179i | \(0.354388\pi\) | |||||||
\(930\) | 707.283 | − | 537.682i | 0.760520 | − | 0.578152i | ||||
\(931\) | −1700.53 | − | 381.856i | −1.82657 | − | 0.410157i | ||||
\(932\) | −79.1258 | + | 79.1258i | −0.0848989 | + | 0.0848989i | ||||
\(933\) | 1002.39 | + | 1543.55i | 1.07438 | + | 1.65440i | ||||
\(934\) | 670.682 | + | 70.4915i | 0.718074 | + | 0.0754727i | ||||
\(935\) | −56.3778 | − | 66.6142i | −0.0602972 | − | 0.0712452i | ||||
\(936\) | 150.450 | + | 1431.43i | 0.160737 | + | 1.52931i | ||||
\(937\) | 1218.43 | − | 192.981i | 1.30036 | − | 0.205956i | 0.532418 | − | 0.846481i | \(-0.321283\pi\) |
0.767937 | + | 0.640525i | \(0.221283\pi\) | |||||||
\(938\) | 40.4242 | + | 265.037i | 0.0430961 | + | 0.282556i | ||||
\(939\) | 76.1632 | + | 104.830i | 0.0811109 | + | 0.111640i | ||||
\(940\) | −161.448 | − | 57.9902i | −0.171753 | − | 0.0616917i | ||||
\(941\) | −159.972 | + | 1522.03i | −0.170002 | + | 1.61746i | 0.493815 | + | 0.869567i | \(0.335602\pi\) |
−0.663817 | + | 0.747895i | \(0.731065\pi\) | |||||||
\(942\) | 59.8750 | + | 1142.48i | 0.0635616 | + | 1.21283i | ||||
\(943\) | −151.104 | + | 40.4883i | −0.160238 | + | 0.0429356i | ||||
\(944\) | −189.662 | + | 61.6249i | −0.200913 | + | 0.0652806i | ||||
\(945\) | −2743.48 | + | 332.697i | −2.90315 | + | 0.352060i | ||||
\(946\) | −8.87117 | + | 27.3026i | −0.00937755 | + | 0.0288611i | ||||
\(947\) | 998.938 | + | 52.3521i | 1.05484 | + | 0.0552821i | 0.571864 | − | 0.820349i | \(-0.306221\pi\) |
0.482981 | + | 0.875631i | \(0.339554\pi\) | |||||||
\(948\) | −117.962 | − | 307.303i | −0.124433 | − | 0.324159i | ||||
\(949\) | 1861.11 | − | 1074.51i | 1.96113 | − | 1.13226i | ||||
\(950\) | −1192.46 | − | 399.346i | −1.25522 | − | 0.420364i | ||||
\(951\) | 463.735 | 0.487629 | ||||||||
\(952\) | −294.913 | + | 111.274i | −0.309783 | + | 0.116885i | ||||
\(953\) | 486.479 | − | 247.874i | 0.510472 | − | 0.260098i | −0.179729 | − | 0.983716i | \(-0.557522\pi\) |
0.690201 | + | 0.723618i | \(0.257522\pi\) | |||||||
\(954\) | 1613.59 | − | 1452.88i | 1.69139 | − | 1.52294i | ||||
\(955\) | 86.9670 | − | 1044.92i | 0.0910649 | − | 1.09416i | ||||
\(956\) | −361.559 | + | 401.552i | −0.378200 | + | 0.420034i | ||||
\(957\) | −9.76076 | − | 36.4277i | −0.0101993 | − | 0.0380644i | ||||
\(958\) | 53.6284 | − | 105.252i | 0.0559795 | − | 0.109866i | ||||
\(959\) | −673.994 | − | 74.7423i | −0.702810 | − | 0.0779378i | ||||
\(960\) | 203.682 | + | 98.2782i | 0.212169 | + | 0.102373i | ||||
\(961\) | 48.8279 | + | 464.566i | 0.0508095 | + | 0.483420i | ||||
\(962\) | −1103.52 | − | 1362.73i | −1.14711 | − | 1.41656i | ||||
\(963\) | −999.589 | + | 809.451i | −1.03799 | + | 0.840551i | ||||
\(964\) | −561.140 | + | 58.9782i | −0.582096 | + | 0.0611807i | ||||
\(965\) | −31.8271 | − | 30.4760i | −0.0329815 | − | 0.0315813i | ||||
\(966\) | −1132.25 | + | 496.363i | −1.17210 | + | 0.513834i | ||||
\(967\) | −302.815 | − | 154.292i | −0.313149 | − | 0.159557i | 0.290352 | − | 0.956920i | \(-0.406228\pi\) |
−0.603500 | + | 0.797363i | \(0.706228\pi\) | |||||||
\(968\) | 327.294 | − | 87.6983i | 0.338114 | − | 0.0905974i | ||||
\(969\) | 2379.25 | + | 2142.28i | 2.45536 | + | 2.21082i | ||||
\(970\) | −462.882 | − | 398.952i | −0.477198 | − | 0.411291i | ||||
\(971\) | 645.928 | + | 717.376i | 0.665220 | + | 0.738801i | 0.977441 | − | 0.211208i | \(-0.0677398\pi\) |
−0.312221 | + | 0.950009i | \(0.601073\pi\) | |||||||
\(972\) | −585.429 | − | 1148.97i | −0.602293 | − | 1.18207i | ||||
\(973\) | 1602.22 | + | 263.175i | 1.64668 | + | 0.270478i | ||||
\(974\) | − | 357.065i | − | 0.366597i | ||||||
\(975\) | −3097.67 | + | 462.103i | −3.17710 | + | 0.473952i | ||||
\(976\) | −91.2196 | − | 157.997i | −0.0934627 | − | 0.161882i | ||||
\(977\) | −762.205 | + | 292.583i | −0.780149 | + | 0.299471i | −0.715661 | − | 0.698448i | \(-0.753875\pi\) |
−0.0644873 | + | 0.997919i | \(0.520541\pi\) | |||||||
\(978\) | 40.6336 | − | 775.336i | 0.0415477 | − | 0.792777i | ||||
\(979\) | 15.3014 | + | 4.97173i | 0.0156296 | + | 0.00507837i | ||||
\(980\) | −146.640 | + | 467.543i | −0.149633 | + | 0.477085i | ||||
\(981\) | 607.218 | + | 1868.82i | 0.618978 | + | 1.90502i | ||||
\(982\) | 145.094 | + | 541.497i | 0.147753 | + | 0.551423i | ||||
\(983\) | 725.839 | − | 38.0396i | 0.738392 | − | 0.0386975i | 0.320568 | − | 0.947226i | \(-0.396126\pi\) |
0.417824 | + | 0.908528i | \(0.362793\pi\) | |||||||
\(984\) | −112.636 | − | 11.8385i | −0.114467 | − | 0.0120310i | ||||
\(985\) | 983.691 | + | 30.1861i | 0.998671 | + | 0.0306457i | ||||
\(986\) | 110.824 | − | 80.5183i | 0.112397 | − | 0.0816616i | ||||
\(987\) | 671.165 | − | 102.368i | 0.680005 | − | 0.103716i | ||||
\(988\) | −246.585 | − | 1556.87i | −0.249580 | − | 1.57578i | ||||
\(989\) | −406.741 | + | 42.7502i | −0.411265 | + | 0.0432257i | ||||
\(990\) | −67.3901 | − | 164.786i | −0.0680708 | − | 0.166451i | ||||
\(991\) | 30.6453 | − | 291.570i | 0.0309236 | − | 0.294218i | −0.968120 | − | 0.250488i | \(-0.919409\pi\) |
0.999043 | − | 0.0437306i | \(-0.0139243\pi\) | |||||||
\(992\) | 105.433 | − | 68.4687i | 0.106283 | − | 0.0690209i | ||||
\(993\) | −1068.54 | − | 1068.54i | −1.07608 | − | 1.07608i | ||||
\(994\) | 10.2490 | − | 46.8965i | 0.0103109 | − | 0.0471796i | ||||
\(995\) | 30.2661 | + | 1395.63i | 0.0304182 | + | 1.40264i | ||||
\(996\) | −142.934 | − | 158.744i | −0.143508 | − | 0.159381i | ||||
\(997\) | 386.763 | − | 595.563i | 0.387927 | − | 0.597355i | −0.589720 | − | 0.807608i | \(-0.700762\pi\) |
0.977647 | + | 0.210253i | \(0.0674287\pi\) | |||||||
\(998\) | 154.195 | + | 401.691i | 0.154504 | + | 0.402496i | ||||
\(999\) | 3826.43 | + | 2209.19i | 3.83026 | + | 2.21140i |
(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 | 350.3.w.a.23.20 | ✓ | 320 | |
7.4 | even | 3 | inner | 350.3.w.a.123.20 | yes | 320 | |
25.12 | odd | 20 | inner | 350.3.w.a.37.20 | yes | 320 | |
175.137 | odd | 60 | inner | 350.3.w.a.137.20 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.3.w.a.23.20 | ✓ | 320 | 1.1 | even | 1 | trivial | |
350.3.w.a.37.20 | yes | 320 | 25.12 | odd | 20 | inner | |
350.3.w.a.123.20 | yes | 320 | 7.4 | even | 3 | inner | |
350.3.w.a.137.20 | yes | 320 | 175.137 | odd | 60 | inner |