Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.14 | ||
Character | \(\chi\) | \(=\) | 276.7 |
Dual form | 276.2.m.a.79.14 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.190297 | − | 1.40135i | 0.134560 | − | 0.990905i | ||||
\(3\) | −0.540641 | − | 0.841254i | −0.312139 | − | 0.485698i | ||||
\(4\) | −1.92757 | − | 0.533346i | −0.963787 | − | 0.266673i | ||||
\(5\) | −0.953526 | + | 0.435461i | −0.426430 | + | 0.194744i | −0.617057 | − | 0.786919i | \(-0.711675\pi\) |
0.190627 | + | 0.981663i | \(0.438948\pi\) | |||||||
\(6\) | −1.28177 | + | 0.597540i | −0.523282 | + | 0.243945i | ||||
\(7\) | −1.56668 | + | 0.460018i | −0.592148 | + | 0.173870i | −0.564058 | − | 0.825735i | \(-0.690761\pi\) |
−0.0280901 | + | 0.999605i | \(0.508943\pi\) | |||||||
\(8\) | −1.11422 | + | 2.59972i | −0.393935 | + | 0.919138i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | 0.428780 | + | 1.41909i | 0.135592 | + | 0.448756i | ||||
\(11\) | −2.54797 | − | 2.94051i | −0.768242 | − | 0.886598i | 0.227960 | − | 0.973670i | \(-0.426794\pi\) |
−0.996202 | + | 0.0870723i | \(0.972249\pi\) | |||||||
\(12\) | 0.593446 | + | 1.90993i | 0.171313 | + | 0.551349i | ||||
\(13\) | −5.84020 | − | 1.71484i | −1.61978 | − | 0.475610i | −0.658821 | − | 0.752300i | \(-0.728944\pi\) |
−0.960959 | + | 0.276690i | \(0.910763\pi\) | |||||||
\(14\) | 0.346513 | + | 2.28301i | 0.0926095 | + | 0.610159i | ||||
\(15\) | 0.881848 | + | 0.566729i | 0.227692 | + | 0.146329i | ||||
\(16\) | 3.43108 | + | 2.05613i | 0.857771 | + | 0.514032i | ||||
\(17\) | 2.19877 | + | 0.316136i | 0.533281 | + | 0.0766742i | 0.403694 | − | 0.914894i | \(-0.367726\pi\) |
0.129586 | + | 0.991568i | \(0.458635\pi\) | |||||||
\(18\) | 1.19566 | + | 0.755243i | 0.281820 | + | 0.178012i | ||||
\(19\) | 0.729960 | + | 5.07698i | 0.167464 | + | 1.16474i | 0.884102 | + | 0.467294i | \(0.154771\pi\) |
−0.716638 | + | 0.697446i | \(0.754320\pi\) | |||||||
\(20\) | 2.07024 | − | 0.330823i | 0.462920 | − | 0.0739743i | ||||
\(21\) | 1.23400 | + | 1.06927i | 0.269281 | + | 0.233334i | ||||
\(22\) | −4.60556 | + | 3.01103i | −0.981910 | + | 0.641954i | ||||
\(23\) | 1.97171 | − | 4.37177i | 0.411129 | − | 0.911577i | ||||
\(24\) | 2.78941 | − | 0.468172i | 0.569386 | − | 0.0955653i | ||||
\(25\) | −2.55472 | + | 2.94830i | −0.510944 | + | 0.589660i | ||||
\(26\) | −3.51446 | + | 7.85785i | −0.689243 | + | 1.54105i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | 3.26524 | − | 0.0511369i | 0.617072 | − | 0.00966397i | ||||
\(29\) | 0.861053 | − | 5.98876i | 0.159894 | − | 1.11208i | −0.738933 | − | 0.673779i | \(-0.764670\pi\) |
0.898826 | − | 0.438305i | \(-0.144421\pi\) | |||||||
\(30\) | 0.962000 | − | 1.12793i | 0.175636 | − | 0.205931i | ||||
\(31\) | 4.03915 | − | 6.28504i | 0.725453 | − | 1.12883i | −0.261089 | − | 0.965315i | \(-0.584082\pi\) |
0.986541 | − | 0.163512i | \(-0.0522821\pi\) | |||||||
\(32\) | 3.53429 | − | 4.41688i | 0.624779 | − | 0.780801i | ||||
\(33\) | −1.09618 | + | 3.73325i | −0.190821 | + | 0.649875i | ||||
\(34\) | 0.861437 | − | 3.02109i | 0.147735 | − | 0.518113i | ||||
\(35\) | 1.29355 | − | 1.12087i | 0.218649 | − | 0.189461i | ||||
\(36\) | 1.28589 | − | 1.53182i | 0.214315 | − | 0.255304i | ||||
\(37\) | −8.62713 | − | 3.93988i | −1.41829 | − | 0.647712i | −0.448978 | − | 0.893543i | \(-0.648212\pi\) |
−0.969313 | + | 0.245831i | \(0.920939\pi\) | |||||||
\(38\) | 7.25355 | − | 0.0567955i | 1.17668 | − | 0.00921344i | ||||
\(39\) | 1.71484 | + | 5.84020i | 0.274594 | + | 0.935181i | ||||
\(40\) | −0.0696382 | − | 2.96409i | −0.0110108 | − | 0.468664i | ||||
\(41\) | −2.05875 | − | 4.50804i | −0.321523 | − | 0.704038i | 0.677995 | − | 0.735066i | \(-0.262849\pi\) |
−0.999518 | + | 0.0310285i | \(0.990122\pi\) | |||||||
\(42\) | 1.73325 | − | 1.52579i | 0.267446 | − | 0.235435i | ||||
\(43\) | −5.88440 | + | 3.78167i | −0.897363 | + | 0.576700i | −0.906007 | − | 0.423263i | \(-0.860885\pi\) |
0.00864441 | + | 0.999963i | \(0.497248\pi\) | |||||||
\(44\) | 3.34309 | + | 7.02701i | 0.503989 | + | 1.05936i | ||||
\(45\) | − | 1.04825i | − | 0.156265i | ||||||
\(46\) | −5.75118 | − | 3.59499i | −0.847965 | − | 0.530053i | ||||
\(47\) | − | 4.82846i | − | 0.704304i | −0.935943 | − | 0.352152i | \(-0.885450\pi\) | ||
0.935943 | − | 0.352152i | \(-0.114550\pi\) | |||||||
\(48\) | −0.125257 | − | 3.99804i | −0.0180794 | − | 0.577067i | ||||
\(49\) | −3.64591 | + | 2.34309i | −0.520845 | + | 0.334727i | ||||
\(50\) | 3.64545 | + | 4.14111i | 0.515545 | + | 0.585642i | ||||
\(51\) | −0.922796 | − | 2.02064i | −0.129217 | − | 0.282946i | ||||
\(52\) | 10.3428 | + | 6.42033i | 1.43429 | + | 0.890339i | ||||
\(53\) | 1.71862 | + | 5.85308i | 0.236071 | + | 0.803983i | 0.989258 | + | 0.146177i | \(0.0466970\pi\) |
−0.753188 | + | 0.657806i | \(0.771485\pi\) | |||||||
\(54\) | −0.0110730 | − | 1.41417i | −0.00150684 | − | 0.192444i | ||||
\(55\) | 3.71003 | + | 1.69431i | 0.500260 | + | 0.228461i | ||||
\(56\) | 0.549704 | − | 4.58548i | 0.0734573 | − | 0.612760i | ||||
\(57\) | 3.87638 | − | 3.35890i | 0.513439 | − | 0.444898i | ||||
\(58\) | −8.22850 | − | 2.34628i | −1.08046 | − | 0.308082i | ||||
\(59\) | 0.221400 | − | 0.754020i | 0.0288239 | − | 0.0981651i | −0.943825 | − | 0.330446i | \(-0.892801\pi\) |
0.972649 | + | 0.232281i | \(0.0746189\pi\) | |||||||
\(60\) | −1.39756 | − | 1.56274i | −0.180425 | − | 0.201749i | ||||
\(61\) | 5.97909 | − | 9.30364i | 0.765543 | − | 1.19121i | −0.211335 | − | 0.977414i | \(-0.567781\pi\) |
0.976879 | − | 0.213795i | \(-0.0685825\pi\) | |||||||
\(62\) | −8.03891 | − | 6.85629i | −1.02094 | − | 0.870750i | ||||
\(63\) | 0.232374 | − | 1.61620i | 0.0292764 | − | 0.203622i | ||||
\(64\) | −5.51704 | − | 5.79330i | −0.689630 | − | 0.724162i | ||||
\(65\) | 6.31552 | − | 0.908035i | 0.783344 | − | 0.112628i | ||||
\(66\) | 5.02300 | + | 2.24656i | 0.618288 | + | 0.276533i | ||||
\(67\) | −0.210130 | + | 0.242503i | −0.0256715 | + | 0.0296265i | −0.768440 | − | 0.639922i | \(-0.778967\pi\) |
0.742769 | + | 0.669548i | \(0.233512\pi\) | |||||||
\(68\) | −4.06969 | − | 1.78208i | −0.493522 | − | 0.216109i | ||||
\(69\) | −4.74375 | + | 0.704851i | −0.571081 | + | 0.0848541i | ||||
\(70\) | −1.32457 | − | 2.02601i | −0.158316 | − | 0.242155i | ||||
\(71\) | 1.24126 | + | 1.07555i | 0.147310 | + | 0.127645i | 0.725398 | − | 0.688329i | \(-0.241656\pi\) |
−0.578088 | + | 0.815974i | \(0.696201\pi\) | |||||||
\(72\) | −1.90192 | − | 2.09349i | −0.224144 | − | 0.246720i | ||||
\(73\) | 0.749719 | + | 5.21441i | 0.0877479 | + | 0.610300i | 0.985484 | + | 0.169767i | \(0.0543015\pi\) |
−0.897736 | + | 0.440533i | \(0.854789\pi\) | |||||||
\(74\) | −7.16287 | + | 11.3399i | −0.832667 | + | 1.31824i | ||||
\(75\) | 3.86145 | + | 0.555193i | 0.445882 | + | 0.0641082i | ||||
\(76\) | 1.30074 | − | 10.1756i | 0.149205 | − | 1.16722i | ||||
\(77\) | 5.34453 | + | 3.43472i | 0.609066 | + | 0.391423i | ||||
\(78\) | 8.51050 | − | 1.29172i | 0.963625 | − | 0.146258i | ||||
\(79\) | −6.00279 | − | 1.76258i | −0.675366 | − | 0.198305i | −0.0739749 | − | 0.997260i | \(-0.523568\pi\) |
−0.601391 | + | 0.798955i | \(0.705387\pi\) | |||||||
\(80\) | −4.16699 | − | 0.466471i | −0.465883 | − | 0.0521530i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −6.70913 | + | 2.02717i | −0.740899 | + | 0.223864i | ||||
\(83\) | 1.34758 | − | 2.95079i | 0.147916 | − | 0.323891i | −0.821142 | − | 0.570724i | \(-0.806663\pi\) |
0.969058 | + | 0.246833i | \(0.0793900\pi\) | |||||||
\(84\) | −1.80834 | − | 2.71924i | −0.197306 | − | 0.296694i | ||||
\(85\) | −2.23425 | + | 0.656035i | −0.242338 | + | 0.0711570i | ||||
\(86\) | 4.17967 | + | 8.96576i | 0.450706 | + | 0.966802i | ||||
\(87\) | −5.50358 | + | 2.51340i | −0.590046 | + | 0.269465i | ||||
\(88\) | 10.4835 | − | 3.34762i | 1.11754 | − | 0.356858i | ||||
\(89\) | 1.59946 | + | 2.48880i | 0.169542 | + | 0.263812i | 0.915619 | − | 0.402047i | \(-0.131701\pi\) |
−0.746077 | + | 0.665860i | \(0.768065\pi\) | |||||||
\(90\) | −1.46897 | − | 0.199480i | −0.154843 | − | 0.0210270i | ||||
\(91\) | 9.93857 | 1.04184 | ||||||||
\(92\) | −6.13228 | + | 7.37531i | −0.639334 | + | 0.768929i | ||||
\(93\) | −7.47104 | −0.774711 | ||||||||
\(94\) | −6.76638 | − | 0.918843i | −0.697899 | − | 0.0947714i | ||||
\(95\) | −2.90686 | − | 4.52316i | −0.298238 | − | 0.464067i | ||||
\(96\) | −5.62649 | − | 0.585285i | −0.574252 | − | 0.0597354i | ||||
\(97\) | 4.73178 | − | 2.16093i | 0.480439 | − | 0.219409i | −0.160448 | − | 0.987044i | \(-0.551294\pi\) |
0.640887 | + | 0.767635i | \(0.278567\pi\) | |||||||
\(98\) | 2.58968 | + | 5.55509i | 0.261597 | + | 0.561149i | ||||
\(99\) | 3.73325 | − | 1.09618i | 0.375206 | − | 0.110170i | ||||
\(100\) | 6.49688 | − | 4.32052i | 0.649688 | − | 0.432052i | ||||
\(101\) | −2.39242 | + | 5.23867i | −0.238055 | + | 0.521267i | −0.990521 | − | 0.137364i | \(-0.956137\pi\) |
0.752466 | + | 0.658631i | \(0.228864\pi\) | |||||||
\(102\) | −3.00723 | + | 0.908639i | −0.297761 | + | 0.0899687i | ||||
\(103\) | 6.40762 | + | 7.39479i | 0.631361 | + | 0.728630i | 0.977823 | − | 0.209434i | \(-0.0671622\pi\) |
−0.346461 | + | 0.938064i | \(0.612617\pi\) | |||||||
\(104\) | 10.9653 | − | 13.2722i | 1.07524 | − | 1.30144i | ||||
\(105\) | −1.64228 | − | 0.482216i | −0.160270 | − | 0.0470594i | ||||
\(106\) | 8.52928 | − | 1.29457i | 0.828437 | − | 0.125739i | ||||
\(107\) | −11.8949 | − | 7.64438i | −1.14992 | − | 0.739010i | −0.180299 | − | 0.983612i | \(-0.557706\pi\) |
−0.969624 | + | 0.244602i | \(0.921343\pi\) | |||||||
\(108\) | −1.98386 | − | 0.253595i | −0.190897 | − | 0.0244022i | ||||
\(109\) | 17.9303 | + | 2.57798i | 1.71741 | + | 0.246926i | 0.929488 | − | 0.368853i | \(-0.120249\pi\) |
0.787919 | + | 0.615779i | \(0.211158\pi\) | |||||||
\(110\) | 3.08034 | − | 4.87664i | 0.293699 | − | 0.464969i | ||||
\(111\) | 1.34974 | + | 9.38766i | 0.128112 | + | 0.891037i | ||||
\(112\) | −6.32126 | − | 1.64293i | −0.597303 | − | 0.155242i | ||||
\(113\) | 11.3040 | + | 9.79501i | 1.06339 | + | 0.921437i | 0.997080 | − | 0.0763622i | \(-0.0243305\pi\) |
0.0663144 | + | 0.997799i | \(0.478876\pi\) | |||||||
\(114\) | −3.96934 | − | 6.07137i | −0.371763 | − | 0.568636i | ||||
\(115\) | 0.0236595 | + | 5.02719i | 0.00220626 | + | 0.468788i | ||||
\(116\) | −4.85383 | + | 11.0845i | −0.450667 | + | 1.02917i | ||||
\(117\) | 3.98598 | − | 4.60006i | 0.368504 | − | 0.425276i | ||||
\(118\) | −1.01452 | − | 0.453748i | −0.0933938 | − | 0.0417709i | ||||
\(119\) | −3.59019 | + | 0.516192i | −0.329113 | + | 0.0473192i | ||||
\(120\) | −2.45590 | + | 1.66109i | −0.224192 | + | 0.151636i | ||||
\(121\) | −0.589008 | + | 4.09664i | −0.0535461 | + | 0.372422i | ||||
\(122\) | −11.8999 | − | 10.1493i | −1.07736 | − | 0.918871i | ||||
\(123\) | −2.67936 | + | 4.16916i | −0.241590 | + | 0.375921i | ||||
\(124\) | −11.1379 | + | 9.96061i | −1.00021 | + | 0.894489i | ||||
\(125\) | 2.62876 | − | 8.95272i | 0.235123 | − | 0.800756i | ||||
\(126\) | −2.22064 | − | 0.633196i | −0.197831 | − | 0.0564096i | ||||
\(127\) | −6.33911 | + | 5.49287i | −0.562505 | + | 0.487413i | −0.889076 | − | 0.457759i | \(-0.848652\pi\) |
0.326571 | + | 0.945173i | \(0.394107\pi\) | |||||||
\(128\) | −9.16832 | + | 6.62886i | −0.810373 | + | 0.585914i | ||||
\(129\) | 6.36269 | + | 2.90574i | 0.560204 | + | 0.255837i | ||||
\(130\) | −0.0706509 | − | 9.02307i | −0.00619649 | − | 0.791375i | ||||
\(131\) | −0.891956 | − | 3.03772i | −0.0779306 | − | 0.265407i | 0.911307 | − | 0.411729i | \(-0.135075\pi\) |
−0.989237 | + | 0.146321i | \(0.953257\pi\) | |||||||
\(132\) | 4.10409 | − | 6.61147i | 0.357215 | − | 0.575455i | ||||
\(133\) | −3.47911 | − | 7.61820i | −0.301677 | − | 0.660582i | ||||
\(134\) | 0.299845 | + | 0.340614i | 0.0259027 | + | 0.0294245i | ||||
\(135\) | −0.881848 | + | 0.566729i | −0.0758974 | + | 0.0487763i | ||||
\(136\) | −3.27177 | + | 5.36394i | −0.280552 | + | 0.459954i | ||||
\(137\) | 4.50950i | 0.385272i | 0.981270 | + | 0.192636i | \(0.0617037\pi\) | ||||
−0.981270 | + | 0.192636i | \(0.938296\pi\) | |||||||
\(138\) | 0.0850219 | + | 6.78180i | 0.00723755 | + | 0.577305i | ||||
\(139\) | 13.5418i | 1.14860i | 0.818644 | + | 0.574301i | \(0.194726\pi\) | ||||
−0.818644 | + | 0.574301i | \(0.805274\pi\) | |||||||
\(140\) | −3.09122 | + | 1.47064i | −0.261256 | + | 0.124292i | ||||
\(141\) | −4.06196 | + | 2.61046i | −0.342079 | + | 0.219841i | ||||
\(142\) | 1.74344 | − | 1.53476i | 0.146306 | − | 0.128794i | ||||
\(143\) | 9.83815 | + | 21.5425i | 0.822707 | + | 1.80148i | ||||
\(144\) | −3.29564 | + | 2.26688i | −0.274637 | + | 0.188906i | ||||
\(145\) | 1.78683 | + | 6.08539i | 0.148388 | + | 0.505364i | ||||
\(146\) | 7.44989 | − | 0.0583328i | 0.616557 | − | 0.00482766i | ||||
\(147\) | 3.94226 | + | 1.80037i | 0.325152 | + | 0.148492i | ||||
\(148\) | 14.5281 | + | 12.1957i | 1.19420 | + | 1.00248i | ||||
\(149\) | 6.88791 | − | 5.96840i | 0.564279 | − | 0.488951i | −0.325375 | − | 0.945585i | \(-0.605491\pi\) |
0.889655 | + | 0.456634i | \(0.150945\pi\) | |||||||
\(150\) | 1.51285 | − | 5.30561i | 0.123523 | − | 0.433201i | ||||
\(151\) | 2.15258 | − | 7.33102i | 0.175175 | − | 0.596590i | −0.824359 | − | 0.566067i | \(-0.808464\pi\) |
0.999534 | − | 0.0305232i | \(-0.00971735\pi\) | |||||||
\(152\) | −14.0120 | − | 3.75918i | −1.13653 | − | 0.304909i | ||||
\(153\) | −1.20097 | + | 1.86875i | −0.0970927 | + | 0.151079i | ||||
\(154\) | 5.83031 | − | 6.83596i | 0.469819 | − | 0.550857i | ||||
\(155\) | −1.11455 | + | 7.75184i | −0.0895225 | + | 0.622642i | ||||
\(156\) | −0.190626 | − | 12.1720i | −0.0152623 | − | 0.974542i | ||||
\(157\) | −16.6194 | + | 2.38951i | −1.32637 | + | 0.190704i | −0.768835 | − | 0.639447i | \(-0.779163\pi\) |
−0.557538 | + | 0.830151i | \(0.688254\pi\) | |||||||
\(158\) | −3.61230 | + | 8.07660i | −0.287379 | + | 0.642540i | ||||
\(159\) | 3.99477 | − | 4.61021i | 0.316806 | − | 0.365614i | ||||
\(160\) | −1.44666 | + | 5.75065i | −0.114368 | + | 0.454629i | ||||
\(161\) | −1.07794 | + | 7.75617i | −0.0849534 | + | 0.611272i | ||||
\(162\) | −1.18369 | + | 0.773873i | −0.0929994 | + | 0.0608012i | ||||
\(163\) | −9.67507 | − | 8.38349i | −0.757810 | − | 0.656646i | 0.187705 | − | 0.982225i | \(-0.439895\pi\) |
−0.945515 | + | 0.325580i | \(0.894441\pi\) | |||||||
\(164\) | 1.56405 | + | 9.78761i | 0.122132 | + | 0.764284i | ||||
\(165\) | −0.580446 | − | 4.03709i | −0.0451877 | − | 0.314287i | ||||
\(166\) | −3.87865 | − | 2.44996i | −0.301041 | − | 0.190154i | ||||
\(167\) | −15.8386 | − | 2.27725i | −1.22563 | − | 0.176219i | −0.501054 | − | 0.865416i | \(-0.667054\pi\) |
−0.724574 | + | 0.689197i | \(0.757963\pi\) | |||||||
\(168\) | −4.15474 | + | 2.01665i | −0.320545 | + | 0.155588i | ||||
\(169\) | 20.2310 | + | 13.0017i | 1.55623 | + | 1.00013i | ||||
\(170\) | 0.494164 | + | 3.25581i | 0.0379007 | + | 0.249709i | ||||
\(171\) | −4.92142 | − | 1.44506i | −0.376350 | − | 0.110506i | ||||
\(172\) | 13.3596 | − | 4.15103i | 1.01866 | − | 0.316513i | ||||
\(173\) | −11.8334 | − | 13.6564i | −0.899674 | − | 1.03828i | −0.999065 | − | 0.0432306i | \(-0.986235\pi\) |
0.0993912 | − | 0.995048i | \(-0.468310\pi\) | |||||||
\(174\) | 2.47485 | + | 8.19075i | 0.187618 | + | 0.620939i | ||||
\(175\) | 2.64615 | − | 5.79426i | 0.200030 | − | 0.438005i | ||||
\(176\) | −2.69622 | − | 15.3281i | −0.203235 | − | 1.15540i | ||||
\(177\) | −0.754020 | + | 0.221400i | −0.0566757 | + | 0.0166415i | ||||
\(178\) | 3.79206 | − | 1.76779i | 0.284227 | − | 0.132501i | ||||
\(179\) | −13.1974 | + | 6.02704i | −0.986418 | + | 0.450482i | −0.842259 | − | 0.539072i | \(-0.818775\pi\) |
−0.144159 | + | 0.989555i | \(0.546048\pi\) | |||||||
\(180\) | −0.559083 | + | 2.02059i | −0.0416716 | + | 0.150606i | ||||
\(181\) | 6.91832 | + | 10.7651i | 0.514235 | + | 0.800165i | 0.997145 | − | 0.0755050i | \(-0.0240569\pi\) |
−0.482911 | + | 0.875669i | \(0.660421\pi\) | |||||||
\(182\) | 1.89128 | − | 13.9274i | 0.140191 | − | 1.03237i | ||||
\(183\) | −11.0593 | −0.817524 | ||||||||
\(184\) | 9.16844 | + | 9.99698i | 0.675907 | + | 0.736987i | ||||
\(185\) | 9.94185 | 0.730939 | ||||||||
\(186\) | −1.42172 | + | 10.4696i | −0.104245 | + | 0.767665i | ||||
\(187\) | −4.67280 | − | 7.27102i | −0.341709 | − | 0.531710i | ||||
\(188\) | −2.57524 | + | 9.30722i | −0.187819 | + | 0.678799i | ||||
\(189\) | −1.48526 | + | 0.678297i | −0.108037 | + | 0.0493389i | ||||
\(190\) | −6.89171 | + | 3.21279i | −0.499977 | + | 0.233080i | ||||
\(191\) | 9.63192 | − | 2.82819i | 0.696941 | − | 0.204640i | 0.0859754 | − | 0.996297i | \(-0.472599\pi\) |
0.610966 | + | 0.791657i | \(0.290781\pi\) | |||||||
\(192\) | −1.89090 | + | 7.77332i | −0.136464 | + | 0.560991i | ||||
\(193\) | 5.54898 | − | 12.1506i | 0.399425 | − | 0.874618i | −0.597904 | − | 0.801568i | \(-0.704000\pi\) |
0.997328 | − | 0.0730498i | \(-0.0232732\pi\) | |||||||
\(194\) | −2.12778 | − | 7.04211i | −0.152766 | − | 0.505594i | ||||
\(195\) | −4.17832 | − | 4.82204i | −0.299216 | − | 0.345313i | ||||
\(196\) | 8.27744 | − | 2.57194i | 0.591246 | − | 0.183710i | ||||
\(197\) | −24.7204 | − | 7.25856i | −1.76126 | − | 0.517151i | −0.768771 | − | 0.639524i | \(-0.779131\pi\) |
−0.992484 | + | 0.122373i | \(0.960950\pi\) | |||||||
\(198\) | −0.825709 | − | 5.44020i | −0.0586806 | − | 0.386618i | ||||
\(199\) | 5.52319 | + | 3.54954i | 0.391528 | + | 0.251620i | 0.721563 | − | 0.692349i | \(-0.243424\pi\) |
−0.330035 | + | 0.943969i | \(0.607060\pi\) | |||||||
\(200\) | −4.81823 | − | 9.92659i | −0.340701 | − | 0.701916i | ||||
\(201\) | 0.317611 | + | 0.0456656i | 0.0224026 | + | 0.00322100i | ||||
\(202\) | 6.88594 | + | 4.34952i | 0.484493 | + | 0.306031i | ||||
\(203\) | 1.40594 | + | 9.77855i | 0.0986779 | + | 0.686320i | ||||
\(204\) | 0.701055 | + | 4.38710i | 0.0490837 | + | 0.307159i | ||||
\(205\) | 3.92615 | + | 3.40203i | 0.274214 | + | 0.237608i | ||||
\(206\) | 11.5820 | − | 7.57212i | 0.806960 | − | 0.527575i | ||||
\(207\) | 3.15762 | + | 3.60963i | 0.219470 | + | 0.250886i | ||||
\(208\) | −16.5123 | − | 17.8920i | −1.14492 | − | 1.24058i | ||||
\(209\) | 13.0690 | − | 15.0824i | 0.904003 | − | 1.04327i | ||||
\(210\) | −0.988274 | + | 2.20964i | −0.0681974 | + | 0.152480i | ||||
\(211\) | −17.8658 | + | 2.56871i | −1.22993 | + | 0.176837i | −0.726480 | − | 0.687187i | \(-0.758845\pi\) |
−0.503449 | + | 0.864025i | \(0.667936\pi\) | |||||||
\(212\) | −0.191047 | − | 12.1989i | −0.0131211 | − | 0.837822i | ||||
\(213\) | 0.233740 | − | 1.62570i | 0.0160156 | − | 0.111391i | ||||
\(214\) | −12.9760 | + | 15.2142i | −0.887023 | + | 1.04002i | ||||
\(215\) | 3.96416 | − | 6.16835i | 0.270353 | − | 0.420678i | ||||
\(216\) | −0.732899 | + | 2.73182i | −0.0498674 | + | 0.185877i | ||||
\(217\) | −3.43681 | + | 11.7047i | −0.233306 | + | 0.794568i | ||||
\(218\) | 7.02473 | − | 24.6360i | 0.475775 | − | 1.66856i | ||||
\(219\) | 3.98131 | − | 3.44983i | 0.269032 | − | 0.233118i | ||||
\(220\) | −6.24770 | − | 5.24465i | −0.421220 | − | 0.353594i | ||||
\(221\) | −12.2991 | − | 5.61683i | −0.827330 | − | 0.377829i | ||||
\(222\) | 13.4123 | − | 0.105018i | 0.900172 | − | 0.00704837i | ||||
\(223\) | 0.0738225 | + | 0.251416i | 0.00494352 | + | 0.0168361i | 0.961928 | − | 0.273304i | \(-0.0881164\pi\) |
−0.956984 | + | 0.290140i | \(0.906298\pi\) | |||||||
\(224\) | −3.50524 | + | 8.54566i | −0.234204 | + | 0.570981i | ||||
\(225\) | −1.62060 | − | 3.54862i | −0.108040 | − | 0.236575i | ||||
\(226\) | 15.8774 | − | 13.9770i | 1.05615 | − | 0.929735i | ||||
\(227\) | 22.2607 | − | 14.3061i | 1.47749 | − | 0.949528i | 0.480113 | − | 0.877207i | \(-0.340596\pi\) |
0.997381 | − | 0.0723211i | \(-0.0230406\pi\) | |||||||
\(228\) | −9.26347 | + | 4.40708i | −0.613489 | + | 0.291866i | ||||
\(229\) | − | 3.62915i | − | 0.239821i | −0.992785 | − | 0.119910i | \(-0.961739\pi\) | ||
0.992785 | − | 0.119910i | \(-0.0382607\pi\) | |||||||
\(230\) | 7.04937 | + | 0.923505i | 0.464822 | + | 0.0608941i | ||||
\(231\) | − | 6.35306i | − | 0.418001i | ||||||
\(232\) | 14.6097 | + | 8.91127i | 0.959171 | + | 0.585054i | ||||
\(233\) | −22.8263 | + | 14.6696i | −1.49540 | + | 0.961038i | −0.499923 | + | 0.866070i | \(0.666638\pi\) |
−0.995480 | + | 0.0949679i | \(0.969725\pi\) | |||||||
\(234\) | −5.68779 | − | 6.46114i | −0.371822 | − | 0.422378i | ||||
\(235\) | 2.10261 | + | 4.60406i | 0.137159 | + | 0.300336i | ||||
\(236\) | −0.828920 | + | 1.33535i | −0.0539581 | + | 0.0869237i | ||||
\(237\) | 1.76258 | + | 6.00279i | 0.114492 | + | 0.389923i | ||||
\(238\) | 0.0401630 | + | 5.12936i | 0.00260338 | + | 0.332487i | ||||
\(239\) | 11.7383 | + | 5.36070i | 0.759287 | + | 0.346755i | 0.757148 | − | 0.653243i | \(-0.226592\pi\) |
0.00213847 | + | 0.999998i | \(0.499319\pi\) | |||||||
\(240\) | 1.86042 | + | 3.75769i | 0.120090 | + | 0.242558i | ||||
\(241\) | 5.45843 | − | 4.72976i | 0.351609 | − | 0.304671i | −0.461092 | − | 0.887353i | \(-0.652542\pi\) |
0.812700 | + | 0.582682i | \(0.197997\pi\) | |||||||
\(242\) | 5.62874 | + | 1.60499i | 0.361829 | + | 0.103172i | ||||
\(243\) | −0.281733 | + | 0.959493i | −0.0180732 | + | 0.0615515i | ||||
\(244\) | −16.4872 | + | 14.7445i | −1.05548 | + | 0.943922i | ||||
\(245\) | 2.45615 | − | 3.82184i | 0.156918 | − | 0.244169i | ||||
\(246\) | 5.33259 | + | 4.54811i | 0.339994 | + | 0.289977i | ||||
\(247\) | 4.44309 | − | 30.9024i | 0.282707 | − | 1.96627i | ||||
\(248\) | 11.8388 | + | 17.5035i | 0.751766 | + | 1.11148i | ||||
\(249\) | −3.21091 | + | 0.461660i | −0.203483 | + | 0.0292565i | ||||
\(250\) | −12.0457 | − | 5.38749i | −0.761835 | − | 0.340735i | ||||
\(251\) | 16.4060 | − | 18.9336i | 1.03554 | − | 1.19508i | 0.0550540 | − | 0.998483i | \(-0.482467\pi\) |
0.980485 | − | 0.196593i | \(-0.0629877\pi\) | |||||||
\(252\) | −1.30991 | + | 2.99141i | −0.0825167 | + | 0.188441i | ||||
\(253\) | −17.8791 | + | 5.34130i | −1.12405 | + | 0.335805i | ||||
\(254\) | 6.49113 | + | 9.92859i | 0.407289 | + | 0.622975i | ||||
\(255\) | 1.75982 | + | 1.52489i | 0.110204 | + | 0.0954924i | ||||
\(256\) | 7.54466 | + | 14.1095i | 0.471541 | + | 0.881844i | ||||
\(257\) | −3.57892 | − | 24.8920i | −0.223247 | − | 1.55272i | −0.725638 | − | 0.688077i | \(-0.758455\pi\) |
0.502391 | − | 0.864641i | \(-0.332454\pi\) | |||||||
\(258\) | 5.28277 | − | 8.36342i | 0.328891 | − | 0.520684i | ||||
\(259\) | 15.3283 | + | 2.20388i | 0.952457 | + | 0.136943i | ||||
\(260\) | −12.6579 | − | 1.61806i | −0.785012 | − | 0.100348i | ||||
\(261\) | 5.08987 | + | 3.27106i | 0.315055 | + | 0.202474i | ||||
\(262\) | −4.42666 | + | 0.671874i | −0.273480 | + | 0.0415085i | ||||
\(263\) | −17.7676 | − | 5.21702i | −1.09559 | − | 0.321695i | −0.316494 | − | 0.948595i | \(-0.602506\pi\) |
−0.779100 | + | 0.626899i | \(0.784324\pi\) | |||||||
\(264\) | −8.48400 | − | 7.00941i | −0.522154 | − | 0.431399i | ||||
\(265\) | −4.18754 | − | 4.83267i | −0.257238 | − | 0.296869i | ||||
\(266\) | −11.3378 | + | 3.42574i | −0.695168 | + | 0.210046i | ||||
\(267\) | 1.22898 | − | 2.69110i | 0.0752125 | − | 0.164692i | ||||
\(268\) | 0.534379 | − | 0.355370i | 0.0326424 | − | 0.0217077i | ||||
\(269\) | 3.12283 | − | 0.916944i | 0.190402 | − | 0.0559071i | −0.185141 | − | 0.982712i | \(-0.559274\pi\) |
0.375543 | + | 0.926805i | \(0.377456\pi\) | |||||||
\(270\) | 0.626374 | + | 1.34363i | 0.0381199 | + | 0.0817704i | ||||
\(271\) | 6.70618 | − | 3.06261i | 0.407371 | − | 0.186040i | −0.201181 | − | 0.979554i | \(-0.564478\pi\) |
0.608552 | + | 0.793514i | \(0.291751\pi\) | |||||||
\(272\) | 6.89415 | + | 5.60565i | 0.418019 | + | 0.339892i | ||||
\(273\) | −5.37319 | − | 8.36085i | −0.325201 | − | 0.506022i | ||||
\(274\) | 6.31939 | + | 0.858144i | 0.381768 | + | 0.0518424i | ||||
\(275\) | 15.1789 | 0.915320 | ||||||||
\(276\) | 9.51986 | + | 1.17141i | 0.573028 | + | 0.0705106i | ||||
\(277\) | −6.11285 | −0.367285 | −0.183643 | − | 0.982993i | \(-0.558789\pi\) | ||||
−0.183643 | + | 0.982993i | \(0.558789\pi\) | |||||||
\(278\) | 18.9769 | + | 2.57697i | 1.13816 | + | 0.154556i | ||||
\(279\) | 4.03915 | + | 6.28504i | 0.241818 | + | 0.376275i | ||||
\(280\) | 1.47264 | + | 4.61174i | 0.0880069 | + | 0.275604i | ||||
\(281\) | −15.2781 | + | 6.97728i | −0.911415 | + | 0.416229i | −0.815232 | − | 0.579134i | \(-0.803391\pi\) |
−0.0961830 | + | 0.995364i | \(0.530663\pi\) | |||||||
\(282\) | 2.88520 | + | 6.18900i | 0.171811 | + | 0.368550i | ||||
\(283\) | 17.0900 | − | 5.01807i | 1.01589 | − | 0.298293i | 0.268931 | − | 0.963159i | \(-0.413330\pi\) |
0.746963 | + | 0.664866i | \(0.231511\pi\) | |||||||
\(284\) | −1.81897 | − | 2.73523i | −0.107936 | − | 0.162306i | ||||
\(285\) | −2.23356 | + | 4.89081i | −0.132305 | + | 0.289707i | ||||
\(286\) | 32.0608 | − | 9.68722i | 1.89580 | − | 0.572818i | ||||
\(287\) | 5.29918 | + | 6.11558i | 0.312801 | + | 0.360991i | ||||
\(288\) | 2.54954 | + | 5.04974i | 0.150233 | + | 0.297559i | ||||
\(289\) | −11.5767 | − | 3.39923i | −0.680984 | − | 0.199955i | ||||
\(290\) | 8.86780 | − | 1.34595i | 0.520735 | − | 0.0790368i | ||||
\(291\) | −4.37608 | − | 2.81234i | −0.256531 | − | 0.164862i | ||||
\(292\) | 1.33595 | − | 10.4510i | 0.0781804 | − | 0.611600i | ||||
\(293\) | −3.31092 | − | 0.476039i | −0.193426 | − | 0.0278105i | 0.0449208 | − | 0.998991i | \(-0.485696\pi\) |
−0.238347 | + | 0.971180i | \(0.576606\pi\) | |||||||
\(294\) | 3.27315 | − | 5.18189i | 0.190894 | − | 0.302214i | ||||
\(295\) | 0.117235 | + | 0.815389i | 0.00682570 | + | 0.0474738i | ||||
\(296\) | 19.8551 | − | 18.0382i | 1.15405 | − | 1.04845i | ||||
\(297\) | −2.94051 | − | 2.54797i | −0.170626 | − | 0.147848i | ||||
\(298\) | −7.05309 | − | 10.7881i | −0.408574 | − | 0.624941i | ||||
\(299\) | −19.0120 | + | 22.1509i | −1.09949 | + | 1.28102i | ||||
\(300\) | −7.14713 | − | 3.12967i | −0.412640 | − | 0.180692i | ||||
\(301\) | 7.47932 | − | 8.63159i | 0.431101 | − | 0.497517i | ||||
\(302\) | −9.86371 | − | 4.41160i | −0.567593 | − | 0.253859i | ||||
\(303\) | 5.70049 | − | 0.819606i | 0.327484 | − | 0.0470851i | ||||
\(304\) | −7.93438 | + | 18.9204i | −0.455068 | + | 1.08516i | ||||
\(305\) | −1.64984 | + | 11.4749i | −0.0944698 | + | 0.657052i | ||||
\(306\) | 2.39023 | + | 2.03860i | 0.136640 | + | 0.116539i | ||||
\(307\) | 16.5192 | − | 25.7043i | 0.942799 | − | 1.46702i | 0.0594914 | − | 0.998229i | \(-0.481052\pi\) |
0.883307 | − | 0.468795i | \(-0.155312\pi\) | |||||||
\(308\) | −8.47009 | − | 9.47117i | −0.482628 | − | 0.539670i | ||||
\(309\) | 2.75667 | − | 9.38836i | 0.156821 | − | 0.534085i | ||||
\(310\) | 10.6510 | + | 3.03702i | 0.604934 | + | 0.172491i | ||||
\(311\) | −8.62706 | + | 7.47539i | −0.489196 | + | 0.423890i | −0.864212 | − | 0.503128i | \(-0.832182\pi\) |
0.375016 | + | 0.927018i | \(0.377637\pi\) | |||||||
\(312\) | −17.0936 | − | 2.04917i | −0.967732 | − | 0.116011i | ||||
\(313\) | −0.921233 | − | 0.420713i | −0.0520712 | − | 0.0237801i | 0.389209 | − | 0.921149i | \(-0.372748\pi\) |
−0.441280 | + | 0.897369i | \(0.645476\pi\) | |||||||
\(314\) | 0.185919 | + | 23.7444i | 0.0104920 | + | 1.33997i | ||||
\(315\) | 0.482216 | + | 1.64228i | 0.0271698 | + | 0.0925318i | ||||
\(316\) | 10.6307 | + | 6.59906i | 0.598026 | + | 0.371226i | ||||
\(317\) | 5.48169 | + | 12.0032i | 0.307882 | + | 0.674168i | 0.998811 | − | 0.0487550i | \(-0.0155253\pi\) |
−0.690929 | + | 0.722923i | \(0.742798\pi\) | |||||||
\(318\) | −5.70034 | − | 6.47539i | −0.319659 | − | 0.363122i | ||||
\(319\) | −19.8040 | + | 12.7272i | −1.10881 | + | 0.712588i | ||||
\(320\) | 7.78339 | + | 3.12161i | 0.435105 | + | 0.174503i | ||||
\(321\) | 14.1395i | 0.789189i | ||||||||
\(322\) | 10.6640 | + | 2.98655i | 0.594281 | + | 0.166434i | ||||
\(323\) | 11.3939i | 0.633973i | ||||||||
\(324\) | 0.859216 | + | 1.80603i | 0.0477342 | + | 0.100335i | ||||
\(325\) | 19.9759 | − | 12.8377i | 1.10807 | − | 0.712110i | ||||
\(326\) | −13.5894 | + | 11.9628i | −0.752645 | + | 0.662559i | ||||
\(327\) | −7.52509 | − | 16.4777i | −0.416139 | − | 0.911216i | ||||
\(328\) | 14.0135 | − | 0.329233i | 0.773767 | − | 0.0181788i | ||||
\(329\) | 2.22118 | + | 7.56465i | 0.122458 | + | 0.417052i | ||||
\(330\) | −5.76784 | + | 0.0451624i | −0.317509 | + | 0.00248611i | ||||
\(331\) | −8.85943 | − | 4.04597i | −0.486959 | − | 0.222387i | 0.156778 | − | 0.987634i | \(-0.449889\pi\) |
−0.643736 | + | 0.765247i | \(0.722617\pi\) | |||||||
\(332\) | −4.17135 | + | 4.96913i | −0.228932 | + | 0.272716i | ||||
\(333\) | 7.16768 | − | 6.21083i | 0.392786 | − | 0.340351i | ||||
\(334\) | −6.20526 | + | 21.7621i | −0.339537 | + | 1.19077i | ||||
\(335\) | 0.0947639 | − | 0.322736i | 0.00517750 | − | 0.0176330i | ||||
\(336\) | 2.03541 | + | 6.20602i | 0.111041 | + | 0.338566i | ||||
\(337\) | 7.93054 | − | 12.3402i | 0.432004 | − | 0.672212i | −0.555192 | − | 0.831722i | \(-0.687355\pi\) |
0.987196 | + | 0.159511i | \(0.0509916\pi\) | |||||||
\(338\) | 22.0698 | − | 25.8765i | 1.20044 | − | 1.40750i | ||||
\(339\) | 2.12866 | − | 14.8051i | 0.115613 | − | 0.804105i | ||||
\(340\) | 4.65658 | − | 0.0729267i | 0.252538 | − | 0.00395501i | ||||
\(341\) | −28.7729 | + | 4.13691i | −1.55814 | + | 0.224026i | ||||
\(342\) | −2.96157 | + | 6.62165i | −0.160143 | + | 0.358058i | ||||
\(343\) | 12.1190 | − | 13.9861i | 0.654364 | − | 0.755176i | ||||
\(344\) | −3.27477 | − | 19.5114i | −0.176564 | − | 1.05198i | ||||
\(345\) | 4.21635 | − | 2.73781i | 0.227001 | − | 0.147399i | ||||
\(346\) | −21.3893 | + | 13.9839i | −1.14990 | + | 0.751781i | ||||
\(347\) | 21.4897 | + | 18.6209i | 1.15363 | + | 0.999625i | 0.999934 | + | 0.0115062i | \(0.00366261\pi\) |
0.153694 | + | 0.988118i | \(0.450883\pi\) | |||||||
\(348\) | 11.9491 | − | 1.90945i | 0.640538 | − | 0.102357i | ||||
\(349\) | −2.57445 | − | 17.9057i | −0.137807 | − | 0.958468i | −0.934976 | − | 0.354712i | \(-0.884579\pi\) |
0.797169 | − | 0.603756i | \(-0.206330\pi\) | |||||||
\(350\) | −7.61624 | − | 4.81081i | −0.407105 | − | 0.257149i | ||||
\(351\) | −6.02480 | − | 0.866236i | −0.321580 | − | 0.0462362i | ||||
\(352\) | −21.9931 | + | 0.861457i | −1.17224 | + | 0.0459158i | ||||
\(353\) | 24.5367 | + | 15.7688i | 1.30596 | + | 0.839288i | 0.993847 | − | 0.110758i | \(-0.0353280\pi\) |
0.312110 | + | 0.950046i | \(0.398964\pi\) | |||||||
\(354\) | 0.166772 | + | 1.09878i | 0.00886383 | + | 0.0583995i | ||||
\(355\) | −1.65193 | − | 0.485051i | −0.0876754 | − | 0.0257438i | ||||
\(356\) | −1.75568 | − | 5.65041i | −0.0930506 | − | 0.299471i | ||||
\(357\) | 2.37525 | + | 2.74119i | 0.125712 | + | 0.145079i | ||||
\(358\) | 5.93458 | + | 19.6411i | 0.313652 | + | 1.03806i | ||||
\(359\) | 0.872343 | − | 1.91017i | 0.0460405 | − | 0.100815i | −0.885214 | − | 0.465184i | \(-0.845988\pi\) |
0.931255 | + | 0.364369i | \(0.118715\pi\) | |||||||
\(360\) | 2.72516 | + | 1.16798i | 0.143629 | + | 0.0615581i | ||||
\(361\) | −7.01254 | + | 2.05907i | −0.369081 | + | 0.108372i | ||||
\(362\) | 16.4022 | − | 7.64643i | 0.862083 | − | 0.401887i | ||||
\(363\) | 3.76475 | − | 1.71930i | 0.197598 | − | 0.0902401i | ||||
\(364\) | −19.1573 | − | 5.30070i | −1.00412 | − | 0.277832i | ||||
\(365\) | −2.98554 | − | 4.64560i | −0.156271 | − | 0.243162i | ||||
\(366\) | −2.10454 | + | 15.4979i | −0.110006 | + | 0.810089i | ||||
\(367\) | −29.4470 | −1.53712 | −0.768560 | − | 0.639778i | \(-0.779026\pi\) | ||||
−0.768560 | + | 0.639778i | \(0.779026\pi\) | |||||||
\(368\) | 15.7540 | − | 10.9458i | 0.821235 | − | 0.570590i | ||||
\(369\) | 4.95590 | 0.257994 | ||||||||
\(370\) | 1.89190 | − | 13.9320i | 0.0983554 | − | 0.724291i | ||||
\(371\) | −5.38505 | − | 8.37930i | −0.279578 | − | 0.435031i | ||||
\(372\) | 14.4010 | + | 3.98465i | 0.746656 | + | 0.206595i | ||||
\(373\) | −30.7926 | + | 14.0625i | −1.59438 | + | 0.728129i | −0.997257 | − | 0.0740197i | \(-0.976417\pi\) |
−0.597124 | + | 0.802149i | \(0.703690\pi\) | |||||||
\(374\) | −11.0785 | + | 5.16459i | −0.572855 | + | 0.267054i | ||||
\(375\) | −8.95272 | + | 2.62876i | −0.462317 | + | 0.135748i | ||||
\(376\) | 12.5526 | + | 5.37996i | 0.647353 | + | 0.277450i | ||||
\(377\) | −15.2985 | + | 33.4990i | −0.787911 | + | 1.72529i | ||||
\(378\) | 0.667892 | + | 2.21045i | 0.0343526 | + | 0.113694i | ||||
\(379\) | 14.7709 | + | 17.0465i | 0.758730 | + | 0.875621i | 0.995384 | − | 0.0959727i | \(-0.0305962\pi\) |
−0.236654 | + | 0.971594i | \(0.576051\pi\) | |||||||
\(380\) | 3.19078 | + | 10.2691i | 0.163683 | + | 0.526793i | ||||
\(381\) | 8.04807 | + | 2.36313i | 0.412315 | + | 0.121067i | ||||
\(382\) | −2.13036 | − | 14.0359i | −0.108999 | − | 0.718139i | ||||
\(383\) | −22.1236 | − | 14.2180i | −1.13047 | − | 0.726506i | −0.164808 | − | 0.986326i | \(-0.552701\pi\) |
−0.965657 | + | 0.259820i | \(0.916337\pi\) | |||||||
\(384\) | 10.5333 | + | 4.12905i | 0.537526 | + | 0.210710i | ||||
\(385\) | −6.59184 | − | 0.947763i | −0.335951 | − | 0.0483025i | ||||
\(386\) | −15.9713 | − | 10.0883i | −0.812917 | − | 0.513481i | ||||
\(387\) | −0.995464 | − | 6.92360i | −0.0506023 | − | 0.351947i | ||||
\(388\) | −10.2734 | + | 1.64168i | −0.521552 | + | 0.0833435i | ||||
\(389\) | −0.585508 | − | 0.507346i | −0.0296865 | − | 0.0257235i | 0.639891 | − | 0.768466i | \(-0.278979\pi\) |
−0.669578 | + | 0.742742i | \(0.733525\pi\) | |||||||
\(390\) | −7.55249 | + | 4.93767i | −0.382435 | + | 0.250029i | ||||
\(391\) | 5.71741 | − | 8.98920i | 0.289142 | − | 0.454603i | ||||
\(392\) | −2.02901 | − | 12.0890i | −0.102481 | − | 0.610589i | ||||
\(393\) | −2.07327 | + | 2.39268i | −0.104583 | + | 0.120695i | ||||
\(394\) | −14.8760 | + | 33.2607i | −0.749443 | + | 1.67565i | ||||
\(395\) | 6.49134 | − | 0.933314i | 0.326615 | − | 0.0469601i | ||||
\(396\) | −7.78076 | + | 0.121855i | −0.390998 | + | 0.00612342i | ||||
\(397\) | 0.575615 | − | 4.00349i | 0.0288893 | − | 0.200930i | −0.970265 | − | 0.242045i | \(-0.922182\pi\) |
0.999154 | + | 0.0411151i | \(0.0130910\pi\) | |||||||
\(398\) | 6.02520 | − | 7.06446i | 0.302016 | − | 0.354109i | ||||
\(399\) | −4.52788 | + | 7.04553i | −0.226678 | + | 0.352717i | ||||
\(400\) | −14.8275 | + | 4.86304i | −0.741377 | + | 0.243152i | ||||
\(401\) | 4.83180 | − | 16.4556i | 0.241289 | − | 0.821754i | −0.746424 | − | 0.665471i | \(-0.768231\pi\) |
0.987712 | − | 0.156283i | \(-0.0499511\pi\) | |||||||
\(402\) | 0.124434 | − | 0.436395i | 0.00620621 | − | 0.0217654i | ||||
\(403\) | −34.3673 | + | 29.7794i | −1.71196 | + | 1.48342i | ||||
\(404\) | 7.40559 | − | 8.82193i | 0.368442 | − | 0.438907i | ||||
\(405\) | 0.953526 | + | 0.435461i | 0.0473811 | + | 0.0216382i | ||||
\(406\) | 13.9707 | − | 0.109391i | 0.693356 | − | 0.00542900i | ||||
\(407\) | 10.3964 | + | 35.4069i | 0.515330 | + | 1.75505i | ||||
\(408\) | 6.28128 | − | 0.147572i | 0.310970 | − | 0.00730591i | ||||
\(409\) | −0.148020 | − | 0.324118i | −0.00731912 | − | 0.0160266i | 0.905937 | − | 0.423412i | \(-0.139168\pi\) |
−0.913256 | + | 0.407386i | \(0.866441\pi\) | |||||||
\(410\) | 5.51457 | − | 4.85452i | 0.272345 | − | 0.239748i | ||||
\(411\) | 3.79363 | − | 2.43802i | 0.187126 | − | 0.120259i | ||||
\(412\) | −8.40718 | − | 17.6715i | −0.414192 | − | 0.870611i | ||||
\(413\) | 1.28316i | 0.0631399i | ||||||||
\(414\) | 5.65924 | − | 3.73804i | 0.278137 | − | 0.183715i | ||||
\(415\) | 3.40047i | 0.166922i | ||||||||
\(416\) | −28.2152 | + | 19.7347i | −1.38336 | + | 0.967575i | ||||
\(417\) | 11.3921 | − | 7.32126i | 0.557874 | − | 0.358524i | ||||
\(418\) | −18.6488 | − | 21.1844i | −0.912144 | − | 1.03616i | ||||
\(419\) | −5.38660 | − | 11.7950i | −0.263153 | − | 0.576224i | 0.731223 | − | 0.682139i | \(-0.238950\pi\) |
−0.994375 | + | 0.105915i | \(0.966223\pi\) | |||||||
\(420\) | 2.90842 | + | 1.80541i | 0.141916 | + | 0.0880949i | ||||
\(421\) | 0.278732 | + | 0.949273i | 0.0135846 | + | 0.0462648i | 0.966006 | − | 0.258518i | \(-0.0832342\pi\) |
−0.952422 | + | 0.304783i | \(0.901416\pi\) | |||||||
\(422\) | 0.199862 | + | 25.5250i | 0.00972912 | + | 1.24254i | ||||
\(423\) | 4.39213 | + | 2.00582i | 0.213552 | + | 0.0975261i | ||||
\(424\) | −17.1313 | − | 2.05369i | −0.831968 | − | 0.0997358i | ||||
\(425\) | −6.54931 | + | 5.67501i | −0.317688 | + | 0.275278i | ||||
\(426\) | −2.23370 | − | 0.636918i | −0.108223 | − | 0.0308588i | ||||
\(427\) | −5.08746 | + | 17.3263i | −0.246199 | + | 0.838478i | ||||
\(428\) | 18.8512 | + | 21.0792i | 0.911206 | + | 1.01890i | ||||
\(429\) | 12.8038 | − | 19.9232i | 0.618175 | − | 0.961899i | ||||
\(430\) | −7.88966 | − | 6.72900i | −0.380473 | − | 0.324501i | ||||
\(431\) | −3.73868 | + | 26.0031i | −0.180086 | + | 1.25252i | 0.676470 | + | 0.736470i | \(0.263509\pi\) |
−0.856556 | + | 0.516054i | \(0.827400\pi\) | |||||||
\(432\) | 3.68878 | + | 1.54691i | 0.177476 | + | 0.0744256i | ||||
\(433\) | 9.45654 | − | 1.35965i | 0.454452 | − | 0.0653404i | 0.0887120 | − | 0.996057i | \(-0.471725\pi\) |
0.365740 | + | 0.930717i | \(0.380816\pi\) | |||||||
\(434\) | 15.7484 | + | 7.04356i | 0.755948 | + | 0.338102i | ||||
\(435\) | 4.15332 | − | 4.79319i | 0.199136 | − | 0.229816i | ||||
\(436\) | −33.1869 | − | 14.5323i | −1.58937 | − | 0.695970i | ||||
\(437\) | 23.6347 | + | 6.81911i | 1.13060 | + | 0.326202i | ||||
\(438\) | −4.07679 | − | 6.23571i | −0.194796 | − | 0.297954i | ||||
\(439\) | −21.3236 | − | 18.4770i | −1.01772 | − | 0.881859i | −0.0246866 | − | 0.999695i | \(-0.507859\pi\) |
−0.993033 | + | 0.117836i | \(0.962404\pi\) | |||||||
\(440\) | −8.53852 | + | 7.75719i | −0.407058 | + | 0.369809i | ||||
\(441\) | −0.616779 | − | 4.28979i | −0.0293704 | − | 0.204276i | ||||
\(442\) | −10.2117 | + | 16.1666i | −0.485719 | + | 0.768965i | ||||
\(443\) | −25.3597 | − | 3.64618i | −1.20488 | − | 0.173235i | −0.489519 | − | 0.871993i | \(-0.662827\pi\) |
−0.715358 | + | 0.698758i | \(0.753737\pi\) | |||||||
\(444\) | 2.40515 | − | 18.8153i | 0.114143 | − | 0.892934i | ||||
\(445\) | −2.60890 | − | 1.67664i | −0.123674 | − | 0.0794802i | ||||
\(446\) | 0.366371 | − | 0.0556075i | 0.0173482 | − | 0.00263309i | ||||
\(447\) | −8.74482 | − | 2.56771i | −0.413616 | − | 0.121449i | ||||
\(448\) | 11.3084 | + | 6.53829i | 0.534274 | + | 0.308905i | ||||
\(449\) | −3.09608 | − | 3.57306i | −0.146113 | − | 0.168623i | 0.677975 | − | 0.735085i | \(-0.262858\pi\) |
−0.824088 | + | 0.566461i | \(0.808312\pi\) | |||||||
\(450\) | −5.28127 | + | 1.59574i | −0.248961 | + | 0.0752239i | ||||
\(451\) | −8.01031 | + | 17.5401i | −0.377191 | + | 0.825933i | ||||
\(452\) | −16.5652 | − | 24.9096i | −0.779163 | − | 1.17165i | ||||
\(453\) | −7.33102 | + | 2.15258i | −0.344441 | + | 0.101137i | ||||
\(454\) | −15.8117 | − | 33.9175i | −0.742080 | − | 1.59183i | ||||
\(455\) | −9.47668 | + | 4.32785i | −0.444273 | + | 0.202893i | ||||
\(456\) | 4.41306 | + | 13.8200i | 0.206661 | + | 0.647183i | ||||
\(457\) | −6.69682 | − | 10.4205i | −0.313264 | − | 0.487448i | 0.648543 | − | 0.761178i | \(-0.275379\pi\) |
−0.961807 | + | 0.273730i | \(0.911742\pi\) | |||||||
\(458\) | −5.08571 | − | 0.690616i | −0.237640 | − | 0.0322704i | ||||
\(459\) | 2.22138 | 0.103685 | ||||||||
\(460\) | 2.63563 | − | 9.70291i | 0.122887 | − | 0.452400i | ||||
\(461\) | −11.3488 | −0.528565 | −0.264282 | − | 0.964445i | \(-0.585135\pi\) | ||||
−0.264282 | + | 0.964445i | \(0.585135\pi\) | |||||||
\(462\) | −8.90287 | − | 1.20897i | −0.414199 | − | 0.0562463i | ||||
\(463\) | −15.6286 | − | 24.3186i | −0.726324 | − | 1.13018i | −0.986363 | − | 0.164584i | \(-0.947372\pi\) |
0.260039 | − | 0.965598i | \(-0.416264\pi\) | |||||||
\(464\) | 15.2680 | − | 18.7775i | 0.708799 | − | 0.871723i | ||||
\(465\) | 7.12383 | − | 3.25334i | 0.330360 | − | 0.150870i | ||||
\(466\) | 16.2135 | + | 34.7793i | 0.751075 | + | 1.61112i | ||||
\(467\) | 12.0575 | − | 3.54040i | 0.557954 | − | 0.163830i | 0.00941588 | − | 0.999956i | \(-0.497003\pi\) |
0.548538 | + | 0.836126i | \(0.315185\pi\) | |||||||
\(468\) | −10.1367 | + | 6.74106i | −0.468569 | + | 0.311605i | ||||
\(469\) | 0.217650 | − | 0.476588i | 0.0100502 | − | 0.0220068i | ||||
\(470\) | 6.85203 | − | 2.07035i | 0.316061 | − | 0.0954981i | ||||
\(471\) | 10.9953 | + | 12.6893i | 0.506637 | + | 0.584691i | ||||
\(472\) | 1.71355 | + | 1.41572i | 0.0788725 | + | 0.0651638i | ||||
\(473\) | 26.1133 | + | 7.66757i | 1.20069 | + | 0.352555i | ||||
\(474\) | 8.74743 | − | 1.32768i | 0.401783 | − | 0.0609822i | ||||
\(475\) | −16.8333 | − | 10.8181i | −0.772366 | − | 0.496369i | ||||
\(476\) | 7.19567 | + | 0.919819i | 0.329813 | + | 0.0421598i | ||||
\(477\) | −6.03809 | − | 0.868147i | −0.276465 | − | 0.0397497i | ||||
\(478\) | 9.74598 | − | 15.4293i | 0.445771 | − | 0.705722i | ||||
\(479\) | 3.66857 | + | 25.5155i | 0.167621 | + | 1.16583i | 0.883783 | + | 0.467898i | \(0.154988\pi\) |
−0.716161 | + | 0.697935i | \(0.754102\pi\) | |||||||
\(480\) | 5.61987 | − | 1.89203i | 0.256511 | − | 0.0863590i | ||||
\(481\) | 43.6279 | + | 37.8038i | 1.98926 | + | 1.72370i | ||||
\(482\) | −5.58933 | − | 8.54925i | −0.254587 | − | 0.389408i | ||||
\(483\) | 7.10769 | − | 3.28649i | 0.323411 | − | 0.149540i | ||||
\(484\) | 3.32028 | − | 7.58243i | 0.150922 | − | 0.344656i | ||||
\(485\) | −3.57087 | + | 4.12101i | −0.162145 | + | 0.187125i | ||||
\(486\) | 1.29097 | + | 0.577395i | 0.0585598 | + | 0.0261912i | ||||
\(487\) | 33.8674 | − | 4.86939i | 1.53468 | − | 0.220653i | 0.677441 | − | 0.735577i | \(-0.263089\pi\) |
0.857236 | + | 0.514924i | \(0.172180\pi\) | |||||||
\(488\) | 17.5248 | + | 25.9102i | 0.793311 | + | 1.17290i | ||||
\(489\) | −1.82191 | + | 12.6716i | −0.0823895 | + | 0.573032i | ||||
\(490\) | −4.88835 | − | 4.16922i | −0.220833 | − | 0.188346i | ||||
\(491\) | 12.5617 | − | 19.5464i | 0.566902 | − | 0.882117i | −0.432911 | − | 0.901436i | \(-0.642514\pi\) |
0.999813 | + | 0.0193198i | \(0.00615007\pi\) | |||||||
\(492\) | 7.38827 | − | 6.60735i | 0.333089 | − | 0.297882i | ||||
\(493\) | 3.78652 | − | 12.8957i | 0.170536 | − | 0.580793i | ||||
\(494\) | −42.4596 | − | 12.1070i | −1.91035 | − | 0.544718i | ||||
\(495\) | −3.08241 | + | 2.67092i | −0.138544 | + | 0.120049i | ||||
\(496\) | 26.7815 | − | 13.2595i | 1.20253 | − | 0.595368i | ||||
\(497\) | −2.43942 | − | 1.11405i | −0.109423 | − | 0.0499718i | ||||
\(498\) | 0.0359200 | + | 4.58747i | 0.00160962 | + | 0.205570i | ||||
\(499\) | 7.52989 | + | 25.6445i | 0.337084 | + | 1.14800i | 0.937404 | + | 0.348243i | \(0.113222\pi\) |
−0.600320 | + | 0.799760i | \(0.704960\pi\) | |||||||
\(500\) | −9.84203 | + | 15.8550i | −0.440149 | + | 0.709057i | ||||
\(501\) | 6.64725 | + | 14.5555i | 0.296977 | + | 0.650290i | ||||
\(502\) | −23.4106 | − | 26.5936i | −1.04486 | − | 1.18693i | ||||
\(503\) | −1.04885 | + | 0.674054i | −0.0467659 | + | 0.0300546i | −0.563815 | − | 0.825901i | \(-0.690667\pi\) |
0.517049 | + | 0.855956i | \(0.327030\pi\) | |||||||
\(504\) | 3.94274 | + | 2.40490i | 0.175624 | + | 0.107123i | ||||
\(505\) | − | 6.03701i | − | 0.268643i | ||||||
\(506\) | 4.08270 | + | 26.0713i | 0.181498 | + | 1.15901i | ||||
\(507\) | − | 24.0486i | − | 1.06804i | ||||||
\(508\) | 15.1487 | − | 7.20697i | 0.672115 | − | 0.319757i | ||||
\(509\) | 31.2944 | − | 20.1117i | 1.38710 | − | 0.891435i | 0.387563 | − | 0.921843i | \(-0.373317\pi\) |
0.999538 | + | 0.0304079i | \(0.00968063\pi\) | |||||||
\(510\) | 2.47180 | − | 2.17594i | 0.109453 | − | 0.0963523i | ||||
\(511\) | −3.57329 | − | 7.82441i | −0.158073 | − | 0.346132i | ||||
\(512\) | 21.2081 | − | 7.88773i | 0.937275 | − | 0.348592i | ||||
\(513\) | 1.44506 | + | 4.92142i | 0.0638009 | + | 0.217286i | ||||
\(514\) | −35.5634 | + | 0.278463i | −1.56864 | + | 0.0122825i | ||||
\(515\) | −9.32997 | − | 4.26085i | −0.411127 | − | 0.187756i | ||||
\(516\) | −10.7148 | − | 8.99456i | −0.471693 | − | 0.395963i | ||||
\(517\) | −14.1982 | + | 12.3028i | −0.624434 | + | 0.541076i | ||||
\(518\) | 6.00535 | − | 21.0610i | 0.263860 | − | 0.925367i | ||||
\(519\) | −5.09092 | + | 17.3381i | −0.223467 | + | 0.761057i | ||||
\(520\) | −4.67624 | + | 17.4303i | −0.205067 | + | 0.764370i | ||||
\(521\) | 11.4043 | − | 17.7454i | 0.499631 | − | 0.777442i | −0.496243 | − | 0.868184i | \(-0.665288\pi\) |
0.995874 | + | 0.0907420i | \(0.0289239\pi\) | |||||||
\(522\) | 5.55250 | − | 6.51023i | 0.243026 | − | 0.284945i | ||||
\(523\) | −4.82304 | + | 33.5450i | −0.210897 | + | 1.46682i | 0.559275 | + | 0.828982i | \(0.311080\pi\) |
−0.770172 | + | 0.637836i | \(0.779830\pi\) | |||||||
\(524\) | 0.0991524 | + | 6.33116i | 0.00433149 | + | 0.276578i | ||||
\(525\) | −6.30505 | + | 0.906530i | −0.275175 | + | 0.0395642i | ||||
\(526\) | −10.6920 | + | 23.9058i | −0.466193 | + | 1.04234i | ||||
\(527\) | 10.8681 | − | 12.5424i | 0.473422 | − | 0.546358i | ||||
\(528\) | −11.4371 | + | 10.5552i | −0.497737 | + | 0.459356i | ||||
\(529\) | −15.2247 | − | 17.2397i | −0.661945 | − | 0.749552i | ||||
\(530\) | −7.56915 | + | 4.94857i | −0.328783 | + | 0.214952i | ||||
\(531\) | 0.593908 | + | 0.514624i | 0.0257734 | + | 0.0223328i | ||||
\(532\) | 2.64311 | + | 16.5402i | 0.114593 | + | 0.717109i | ||||
\(533\) | 4.29297 | + | 29.8583i | 0.185949 | + | 1.29331i | ||||
\(534\) | −3.53730 | − | 2.23434i | −0.153074 | − | 0.0966895i | ||||
\(535\) | 14.6709 | + | 2.10936i | 0.634279 | + | 0.0911955i | ||||
\(536\) | −0.396308 | − | 0.816479i | −0.0171179 | − | 0.0352665i | ||||
\(537\) | 12.2053 | + | 7.84388i | 0.526698 | + | 0.338488i | ||||
\(538\) | −0.690697 | − | 4.55067i | −0.0297781 | − | 0.196193i | ||||
\(539\) | 16.1795 | + | 4.75074i | 0.696903 | + | 0.204629i | ||||
\(540\) | 2.00209 | − | 0.622082i | 0.0861562 | − | 0.0267701i | ||||
\(541\) | −2.55638 | − | 2.95022i | −0.109908 | − | 0.126840i | 0.698130 | − | 0.715971i | \(-0.254016\pi\) |
−0.808038 | + | 0.589131i | \(0.799470\pi\) | |||||||
\(542\) | −3.01563 | − | 9.98052i | −0.129532 | − | 0.428700i | ||||
\(543\) | 5.31586 | − | 11.6401i | 0.228126 | − | 0.499525i | ||||
\(544\) | 9.16742 | − | 8.59440i | 0.393050 | − | 0.368482i | ||||
\(545\) | −18.2196 | + | 5.34975i | −0.780440 | + | 0.229158i | ||||
\(546\) | −12.7390 | + | 5.93869i | −0.545179 | + | 0.254152i | ||||
\(547\) | −5.00776 | + | 2.28697i | −0.214116 | + | 0.0977836i | −0.519586 | − | 0.854418i | \(-0.673914\pi\) |
0.305470 | + | 0.952202i | \(0.401187\pi\) | |||||||
\(548\) | 2.40512 | − | 8.69239i | 0.102742 | − | 0.371320i | ||||
\(549\) | 5.97909 | + | 9.30364i | 0.255181 | + | 0.397070i | ||||
\(550\) | 2.88849 | − | 21.2709i | 0.123166 | − | 0.906996i | ||||
\(551\) | 31.0334 | 1.32207 | ||||||||
\(552\) | 3.45316 | − | 13.1178i | 0.146976 | − | 0.558329i | ||||
\(553\) | 10.2152 | 0.434396 | ||||||||
\(554\) | −1.16326 | + | 8.56625i | −0.0494221 | + | 0.363945i | ||||
\(555\) | −5.37497 | − | 8.36361i | −0.228155 | − | 0.355016i | ||||
\(556\) | 7.22248 | − | 26.1029i | 0.306302 | − | 1.10701i | ||||
\(557\) | 40.6719 | − | 18.5742i | 1.72332 | − | 0.787016i | 0.728541 | − | 0.685002i | \(-0.240199\pi\) |
0.994783 | − | 0.102014i | \(-0.0325286\pi\) | |||||||
\(558\) | 9.57619 | − | 4.46424i | 0.405392 | − | 0.188987i | ||||
\(559\) | 40.8510 | − | 11.9949i | 1.72781 | − | 0.507332i | ||||
\(560\) | 6.74291 | − | 1.18608i | 0.284940 | − | 0.0501211i | ||||
\(561\) | −3.59047 | + | 7.86202i | −0.151590 | + | 0.331935i | ||||
\(562\) | 6.87024 | + | 22.7378i | 0.289804 | + | 0.959134i | ||||
\(563\) | −10.8340 | − | 12.5031i | −0.456597 | − | 0.526941i | 0.480038 | − | 0.877248i | \(-0.340623\pi\) |
−0.936635 | + | 0.350307i | \(0.886077\pi\) | |||||||
\(564\) | 9.22202 | − | 2.86543i | 0.388317 | − | 0.120656i | ||||
\(565\) | −15.0440 | − | 4.41733i | −0.632907 | − | 0.185838i | ||||
\(566\) | −3.77991 | − | 24.9040i | −0.158881 | − | 1.04679i | ||||
\(567\) | 1.37361 | + | 0.882768i | 0.0576864 | + | 0.0370728i | ||||
\(568\) | −4.17917 | + | 2.02851i | −0.175354 | + | 0.0851144i | ||||
\(569\) | 17.3934 | + | 2.50079i | 0.729168 | + | 0.104838i | 0.496893 | − | 0.867812i | \(-0.334474\pi\) |
0.232275 | + | 0.972650i | \(0.425383\pi\) | |||||||
\(570\) | 6.42871 | + | 4.06071i | 0.269269 | + | 0.170084i | ||||
\(571\) | 2.14718 | + | 14.9340i | 0.0898567 | + | 0.624967i | 0.984130 | + | 0.177447i | \(0.0567837\pi\) |
−0.894274 | + | 0.447520i | \(0.852307\pi\) | |||||||
\(572\) | −7.47412 | − | 46.7720i | −0.312509 | − | 1.95563i | ||||
\(573\) | −7.58663 | − | 6.57385i | −0.316936 | − | 0.274627i | ||||
\(574\) | 9.57850 | − | 6.26224i | 0.399799 | − | 0.261381i | ||||
\(575\) | 7.85214 | + | 16.9818i | 0.327457 | + | 0.708191i | ||||
\(576\) | 7.56163 | − | 2.61185i | 0.315068 | − | 0.108827i | ||||
\(577\) | −19.4917 | + | 22.4947i | −0.811451 | + | 0.936465i | −0.998951 | − | 0.0457999i | \(-0.985416\pi\) |
0.187499 | + | 0.982265i | \(0.439962\pi\) | |||||||
\(578\) | −6.96654 | + | 15.5762i | −0.289770 | + | 0.647885i | ||||
\(579\) | −13.2217 | + | 1.90100i | −0.549476 | + | 0.0790027i | ||||
\(580\) | −0.198629 | − | 12.6830i | −0.00824763 | − | 0.526634i | ||||
\(581\) | −0.753806 | + | 5.24284i | −0.0312732 | + | 0.217510i | ||||
\(582\) | −4.77383 | + | 5.59725i | −0.197882 | + | 0.232014i | ||||
\(583\) | 12.8321 | − | 19.9671i | 0.531450 | − | 0.826953i | ||||
\(584\) | −14.3913 | − | 3.86093i | −0.595517 | − | 0.159766i | ||||
\(585\) | −1.79759 | + | 6.12201i | −0.0743210 | + | 0.253114i | ||||
\(586\) | −1.29716 | + | 4.54918i | −0.0535850 | + | 0.187925i | ||||
\(587\) | 24.6548 | − | 21.3635i | 1.01761 | − | 0.881766i | 0.0245900 | − | 0.999698i | \(-0.492172\pi\) |
0.993022 | + | 0.117932i | \(0.0376265\pi\) | |||||||
\(588\) | −6.63878 | − | 5.57293i | −0.273778 | − | 0.229824i | ||||
\(589\) | 34.8574 | + | 15.9189i | 1.43628 | + | 0.655925i | ||||
\(590\) | 1.16496 | − | 0.00912164i | 0.0479605 | − | 0.000375532i | ||||
\(591\) | 7.25856 | + | 24.7204i | 0.298577 | + | 1.01686i | ||||
\(592\) | −21.4995 | − | 31.2565i | −0.883624 | − | 1.28464i | ||||
\(593\) | −7.29896 | − | 15.9825i | −0.299732 | − | 0.656322i | 0.698509 | − | 0.715601i | \(-0.253847\pi\) |
−0.998241 | + | 0.0592788i | \(0.981120\pi\) | |||||||
\(594\) | −4.13017 | + | 3.63582i | −0.169463 | + | 0.149180i | ||||
\(595\) | 3.19856 | − | 2.05559i | 0.131128 | − | 0.0842710i | ||||
\(596\) | −16.4602 | + | 7.83090i | −0.674235 | + | 0.320766i | ||||
\(597\) | − | 6.56542i | − | 0.268705i | ||||||
\(598\) | 27.4232 | + | 30.8578i | 1.12142 | + | 1.26187i | ||||
\(599\) | 17.9038i | 0.731528i | 0.930708 | + | 0.365764i | \(0.119192\pi\) | ||||
−0.930708 | + | 0.365764i | \(0.880808\pi\) | |||||||
\(600\) | −5.74585 | + | 9.42008i | −0.234573 | + | 0.384573i | ||||
\(601\) | 14.2953 | − | 9.18705i | 0.583118 | − | 0.374747i | −0.215573 | − | 0.976488i | \(-0.569162\pi\) |
0.798692 | + | 0.601740i | \(0.205526\pi\) | |||||||
\(602\) | −10.6726 | − | 12.1237i | −0.434983 | − | 0.494126i | ||||
\(603\) | −0.133297 | − | 0.291880i | −0.00542829 | − | 0.0118863i | ||||
\(604\) | −8.05923 | + | 12.9830i | −0.327926 | + | 0.528271i | ||||
\(605\) | −1.22229 | − | 4.16274i | −0.0496932 | − | 0.169239i | ||||
\(606\) | −0.0637705 | − | 8.14435i | −0.00259050 | − | 0.330842i | ||||
\(607\) | 17.4267 | + | 7.95852i | 0.707329 | + | 0.323026i | 0.736396 | − | 0.676551i | \(-0.236526\pi\) |
−0.0290665 | + | 0.999577i | \(0.509253\pi\) | |||||||
\(608\) | 25.0043 | + | 14.7194i | 1.01406 | + | 0.596949i | ||||
\(609\) | 7.46613 | − | 6.46944i | 0.302543 | − | 0.262155i | ||||
\(610\) | 15.7664 | + | 4.49565i | 0.638364 | + | 0.182024i | ||||
\(611\) | −8.28003 | + | 28.1992i | −0.334974 | + | 1.14082i | ||||
\(612\) | 3.31165 | − | 2.96161i | 0.133865 | − | 0.119716i | ||||
\(613\) | −12.4151 | + | 19.3182i | −0.501440 | + | 0.780256i | −0.996044 | − | 0.0888627i | \(-0.971677\pi\) |
0.494604 | + | 0.869119i | \(0.335313\pi\) | |||||||
\(614\) | −32.8773 | − | 28.0406i | −1.32682 | − | 1.13163i | ||||
\(615\) | 0.739331 | − | 5.14216i | 0.0298127 | − | 0.207352i | ||||
\(616\) | −14.8843 | + | 10.0672i | −0.599705 | + | 0.405621i | ||||
\(617\) | −45.4087 | + | 6.52878i | −1.82808 | + | 0.262839i | −0.968654 | − | 0.248413i | \(-0.920091\pi\) |
−0.859431 | + | 0.511252i | \(0.829182\pi\) | |||||||
\(618\) | −12.6318 | − | 5.64964i | −0.508126 | − | 0.227262i | ||||
\(619\) | −18.8680 | + | 21.7748i | −0.758369 | + | 0.875204i | −0.995351 | − | 0.0963096i | \(-0.969296\pi\) |
0.236983 | + | 0.971514i | \(0.423842\pi\) | |||||||
\(620\) | 6.28278 | − | 14.3478i | 0.252323 | − | 0.576221i | ||||
\(621\) | 1.32947 | − | 4.60787i | 0.0533498 | − | 0.184908i | ||||
\(622\) | 8.83394 | + | 13.5121i | 0.354209 | + | 0.541785i | ||||
\(623\) | −3.65073 | − | 3.16337i | −0.146263 | − | 0.126738i | ||||
\(624\) | −6.12446 | + | 23.5641i | −0.245175 | + | 0.943321i | ||||
\(625\) | −1.38400 | − | 9.62590i | −0.0553598 | − | 0.385036i | ||||
\(626\) | −0.764875 | + | 1.21091i | −0.0305706 | + | 0.0483978i | ||||
\(627\) | −19.7538 | − | 2.84017i | −0.788891 | − | 0.113425i | ||||
\(628\) | 33.3096 | + | 4.25794i | 1.32920 | + | 0.169911i | ||||
\(629\) | −17.7235 | − | 11.3902i | −0.706684 | − | 0.454158i | ||||
\(630\) | 2.39317 | − | 0.363234i | 0.0953462 | − | 0.0144716i | ||||
\(631\) | −24.7285 | − | 7.26095i | −0.984427 | − | 0.289054i | −0.250376 | − | 0.968149i | \(-0.580554\pi\) |
−0.734051 | + | 0.679095i | \(0.762373\pi\) | |||||||
\(632\) | 11.2706 | − | 13.6416i | 0.448321 | − | 0.542635i | ||||
\(633\) | 11.8199 | + | 13.6409i | 0.469799 | + | 0.542176i | ||||
\(634\) | 17.8639 | − | 5.39759i | 0.709466 | − | 0.214366i | ||||
\(635\) | 3.65257 | − | 7.99802i | 0.144948 | − | 0.317392i | ||||
\(636\) | −10.1591 | + | 6.75593i | −0.402833 | + | 0.267890i | ||||
\(637\) | 25.3109 | − | 7.43194i | 1.00285 | − | 0.294464i | ||||
\(638\) | 14.0667 | + | 30.1743i | 0.556906 | + | 1.19461i | ||||
\(639\) | −1.49400 | + | 0.682285i | −0.0591015 | + | 0.0269908i | ||||
\(640\) | 5.85562 | − | 10.3132i | 0.231464 | − | 0.407666i | ||||
\(641\) | −15.9045 | − | 24.7478i | −0.628188 | − | 0.977480i | −0.998814 | − | 0.0486975i | \(-0.984493\pi\) |
0.370625 | − | 0.928782i | \(-0.379143\pi\) | |||||||
\(642\) | 19.8144 | + | 2.69070i | 0.782012 | + | 0.106194i | ||||
\(643\) | 40.4808 | 1.59641 | 0.798203 | − | 0.602388i | \(-0.205784\pi\) | ||||
0.798203 | + | 0.602388i | \(0.205784\pi\) | |||||||
\(644\) | 6.21453 | − | 14.3757i | 0.244887 | − | 0.566481i | ||||
\(645\) | −7.33233 | −0.288710 | ||||||||
\(646\) | 15.9669 | + | 2.16822i | 0.628207 | + | 0.0853077i | ||||
\(647\) | −9.63421 | − | 14.9911i | −0.378760 | − | 0.589362i | 0.598573 | − | 0.801068i | \(-0.295734\pi\) |
−0.977333 | + | 0.211706i | \(0.932098\pi\) | |||||||
\(648\) | 2.69439 | − | 0.860382i | 0.105846 | − | 0.0337990i | ||||
\(649\) | −2.78133 | + | 1.27019i | −0.109177 | + | 0.0498593i | ||||
\(650\) | −14.1888 | − | 30.4363i | −0.556532 | − | 1.19381i | ||||
\(651\) | 11.7047 | − | 3.43681i | 0.458744 | − | 0.134699i | ||||
\(652\) | 14.1781 | + | 21.3200i | 0.555257 | + | 0.834954i | ||||
\(653\) | −6.58588 | + | 14.4211i | −0.257725 | + | 0.564340i | −0.993623 | − | 0.112753i | \(-0.964033\pi\) |
0.735898 | + | 0.677093i | \(0.236760\pi\) | |||||||
\(654\) | −24.5230 | + | 7.40965i | −0.958925 | + | 0.289740i | ||||
\(655\) | 2.17331 | + | 2.50813i | 0.0849183 | + | 0.0980009i | ||||
\(656\) | 2.20536 | − | 19.7005i | 0.0861049 | − | 0.769176i | ||||
\(657\) | −5.05464 | − | 1.48418i | −0.197200 | − | 0.0579032i | ||||
\(658\) | 11.0234 | − | 1.67313i | 0.429737 | − | 0.0652252i | ||||
\(659\) | −13.3920 | − | 8.60650i | −0.521678 | − | 0.335262i | 0.253158 | − | 0.967425i | \(-0.418531\pi\) |
−0.774835 | + | 0.632163i | \(0.782167\pi\) | |||||||
\(660\) | −1.03432 | + | 8.09137i | −0.0402607 | + | 0.314956i | ||||
\(661\) | 20.7988 | + | 2.99041i | 0.808978 | + | 0.116314i | 0.534379 | − | 0.845245i | \(-0.320546\pi\) |
0.274600 | + | 0.961559i | \(0.411455\pi\) | |||||||
\(662\) | −7.35575 | + | 11.6452i | −0.285889 | + | 0.452605i | ||||
\(663\) | 1.92424 | + | 13.3834i | 0.0747313 | + | 0.519768i | ||||
\(664\) | 6.16970 | + | 6.79114i | 0.239431 | + | 0.263547i | ||||
\(665\) | 6.63485 | + | 5.74913i | 0.257288 | + | 0.222942i | ||||
\(666\) | −7.33956 | − | 11.2263i | −0.284402 | − | 0.435012i | ||||
\(667\) | −24.4837 | − | 15.5724i | −0.948014 | − | 0.602966i | ||||
\(668\) | 29.3155 | + | 12.8370i | 1.13425 | + | 0.496679i | ||||
\(669\) | 0.171593 | − | 0.198029i | 0.00663418 | − | 0.00765625i | ||||
\(670\) | −0.434234 | − | 0.194213i | −0.0167759 | − | 0.00750311i | ||||
\(671\) | −42.5920 | + | 6.12380i | −1.64425 | + | 0.236407i | ||||
\(672\) | 9.08414 | − | 1.67134i | 0.350428 | − | 0.0644732i | ||||
\(673\) | 3.15153 | − | 21.9194i | 0.121483 | − | 0.844930i | −0.834396 | − | 0.551166i | \(-0.814183\pi\) |
0.955878 | − | 0.293764i | \(-0.0949078\pi\) | |||||||
\(674\) | −15.7838 | − | 13.4618i | −0.607967 | − | 0.518528i | ||||
\(675\) | −2.10913 | + | 3.28187i | −0.0811804 | + | 0.126319i | ||||
\(676\) | −32.0623 | − | 35.8518i | −1.23317 | − | 1.37891i | ||||
\(677\) | −0.360831 | + | 1.22888i | −0.0138679 | + | 0.0472297i | −0.966136 | − | 0.258032i | \(-0.916926\pi\) |
0.952268 | + | 0.305262i | \(0.0987441\pi\) | |||||||
\(678\) | −20.3421 | − | 5.80038i | −0.781235 | − | 0.222762i | ||||
\(679\) | −6.41910 | + | 5.56219i | −0.246343 | + | 0.213457i | ||||
\(680\) | 0.783937 | − | 6.53938i | 0.0300626 | − | 0.250774i | ||||
\(681\) | −24.0701 | − | 10.9924i | −0.922367 | − | 0.421231i | ||||
\(682\) | 0.321878 | + | 41.1082i | 0.0123253 | + | 1.57411i | ||||
\(683\) | −13.4812 | − | 45.9129i | −0.515846 | − | 1.75681i | −0.643970 | − | 0.765051i | \(-0.722714\pi\) |
0.128125 | − | 0.991758i | \(-0.459104\pi\) | |||||||
\(684\) | 8.71569 | + | 5.41028i | 0.333253 | + | 0.206867i | ||||
\(685\) | −1.96371 | − | 4.29992i | −0.0750294 | − | 0.164291i | ||||
\(686\) | −17.2932 | − | 19.6445i | −0.660257 | − | 0.750029i | ||||
\(687\) | −3.05303 | + | 1.96206i | −0.116480 | + | 0.0748574i | ||||
\(688\) | −27.9655 | + | 0.876151i | −1.06617 | + | 0.0334029i | ||||
\(689\) | − | 37.1303i | − | 1.41455i | ||||||
\(690\) | −3.03428 | − | 6.42959i | −0.115513 | − | 0.244770i | ||||
\(691\) | − | 30.1218i | − | 1.14589i | −0.819595 | − | 0.572943i | \(-0.805802\pi\) | ||
0.819595 | − | 0.572943i | \(-0.194198\pi\) | |||||||
\(692\) | 15.5261 | + | 32.6351i | 0.590213 | + | 1.24060i | ||||
\(693\) | −5.34453 | + | 3.43472i | −0.203022 | + | 0.130474i | ||||
\(694\) | 30.1839 | − | 26.5711i | 1.14577 | − | 1.00863i | ||||
\(695\) | −5.89693 | − | 12.9125i | −0.223683 | − | 0.489798i | ||||
\(696\) | −0.401940 | − | 17.1082i | −0.0152355 | − | 0.648486i | ||||
\(697\) | −3.10158 | − | 10.5630i | −0.117481 | − | 0.400102i | ||||
\(698\) | −25.5820 | + | 0.200308i | −0.968295 | + | 0.00758177i | ||||
\(699\) | 24.6817 | + | 11.2718i | 0.933548 | + | 0.426337i | ||||
\(700\) | −8.19099 | + | 9.75754i | −0.309590 | + | 0.368800i | ||||
\(701\) | −5.49453 | + | 4.76104i | −0.207526 | + | 0.179822i | −0.752422 | − | 0.658682i | \(-0.771114\pi\) |
0.544896 | + | 0.838503i | \(0.316569\pi\) | |||||||
\(702\) | −2.36040 | + | 8.27803i | −0.0890877 | + | 0.312434i | ||||
\(703\) | 13.7052 | − | 46.6757i | 0.516902 | − | 1.76041i | ||||
\(704\) | −2.97803 | + | 30.9841i | −0.112239 | + | 1.16776i | ||||
\(705\) | 2.73643 | − | 4.25797i | 0.103060 | − | 0.160364i | ||||
\(706\) | 26.7669 | − | 31.3838i | 1.00738 | − | 1.18115i | ||||
\(707\) | 1.33827 | − | 9.30786i | 0.0503307 | − | 0.350058i | ||||
\(708\) | 1.57151 | − | 0.0246115i | 0.0590611 | − | 0.000924957i | ||||
\(709\) | −15.6321 | + | 2.24756i | −0.587078 | + | 0.0844090i | −0.429452 | − | 0.903090i | \(-0.641293\pi\) |
−0.157626 | + | 0.987499i | \(0.550384\pi\) | |||||||
\(710\) | −0.994084 | + | 2.22263i | −0.0373073 | + | 0.0834139i | ||||
\(711\) | 4.09694 | − | 4.72812i | 0.153647 | − | 0.177319i | ||||
\(712\) | −8.25232 | + | 1.38506i | −0.309269 | + | 0.0519074i | ||||
\(713\) | −19.5127 | − | 30.0505i | −0.730757 | − | 1.12540i | ||||
\(714\) | 4.29337 | − | 2.80693i | 0.160676 | − | 0.105047i | ||||
\(715\) | −18.7619 | − | 16.2572i | −0.701653 | − | 0.607986i | ||||
\(716\) | 28.6534 | − | 4.57879i | 1.07083 | − | 0.171117i | ||||
\(717\) | −1.83649 | − | 12.7731i | −0.0685851 | − | 0.477020i | ||||
\(718\) | −2.51081 | − | 1.58596i | −0.0937026 | − | 0.0591875i | ||||
\(719\) | 22.3902 | + | 3.21922i | 0.835013 | + | 0.120057i | 0.546542 | − | 0.837432i | \(-0.315944\pi\) |
0.288471 | + | 0.957489i | \(0.406853\pi\) | |||||||
\(720\) | 2.15535 | − | 3.59665i | 0.0803250 | − | 0.134039i | ||||
\(721\) | −13.4404 | − | 8.63763i | −0.500547 | − | 0.321682i | ||||
\(722\) | 1.55101 | + | 10.2189i | 0.0577227 | + | 0.380307i | ||||
\(723\) | −6.92998 | − | 2.03483i | −0.257729 | − | 0.0756760i | ||||
\(724\) | −7.59403 | − | 24.4404i | −0.282230 | − | 0.908321i | ||||
\(725\) | 15.4569 | + | 17.8382i | 0.574056 | + | 0.662496i | ||||
\(726\) | −1.69293 | − | 5.60292i | −0.0628305 | − | 0.207944i | ||||
\(727\) | −11.0700 | + | 24.2400i | −0.410565 | + | 0.899012i | 0.585524 | + | 0.810655i | \(0.300889\pi\) |
−0.996089 | + | 0.0883565i | \(0.971839\pi\) | |||||||
\(728\) | −11.0737 | + | 25.8374i | −0.410420 | + | 0.957599i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −7.07826 | + | 3.29975i | −0.261978 | + | 0.122129i | ||||
\(731\) | −14.1340 | + | 6.45477i | −0.522764 | + | 0.238738i | ||||
\(732\) | 21.3175 | + | 5.89842i | 0.787919 | + | 0.218012i | ||||
\(733\) | 17.8561 | + | 27.7847i | 0.659532 | + | 1.02625i | 0.996406 | + | 0.0847020i | \(0.0269938\pi\) |
−0.336874 | + | 0.941550i | \(0.609370\pi\) | |||||||
\(734\) | −5.60367 | + | 41.2656i | −0.206835 | + | 1.52314i | ||||
\(735\) | −4.54303 | −0.167572 | ||||||||
\(736\) | −12.3410 | − | 24.1599i | −0.454895 | − | 0.890545i | ||||
\(737\) | 1.24849 | 0.0459887 | ||||||||
\(738\) | 0.943093 | − | 6.94495i | 0.0347157 | − | 0.255647i | ||||
\(739\) | 15.3538 | + | 23.8910i | 0.564799 | + | 0.878844i | 0.999767 | − | 0.0216020i | \(-0.00687666\pi\) |
−0.434968 | + | 0.900446i | \(0.643240\pi\) | |||||||
\(740\) | −19.1636 | − | 5.30245i | −0.704470 | − | 0.194922i | ||||
\(741\) | −28.3988 | + | 12.9693i | −1.04326 | + | 0.476440i | ||||
\(742\) | −12.7671 | + | 5.95179i | −0.468695 | + | 0.218497i | ||||
\(743\) | −14.8937 | + | 4.37317i | −0.546396 | + | 0.160436i | −0.543269 | − | 0.839559i | \(-0.682813\pi\) |
−0.00312688 | + | 0.999995i | \(0.500995\pi\) | |||||||
\(744\) | 8.32437 | − | 19.4226i | 0.305186 | − | 0.712066i | ||||
\(745\) | −3.96879 | + | 8.69044i | −0.145405 | + | 0.318393i | ||||
\(746\) | 13.8468 | + | 45.8273i | 0.506967 | + | 1.67786i | ||||
\(747\) | 2.12432 | + | 2.45160i | 0.0777250 | + | 0.0896994i | ||||
\(748\) | 5.12920 | + | 16.5077i | 0.187542 | + | 0.603580i | ||||
\(749\) | 22.1520 | + | 6.50442i | 0.809417 | + | 0.237666i | ||||
\(750\) | 1.98014 | + | 13.0462i | 0.0723043 | + | 0.476378i | ||||
\(751\) | −6.56327 | − | 4.21796i | −0.239497 | − | 0.153915i | 0.415387 | − | 0.909645i | \(-0.363646\pi\) |
−0.654884 | + | 0.755729i | \(0.727283\pi\) | |||||||
\(752\) | 9.92795 | − | 16.5669i | 0.362035 | − | 0.604131i | ||||
\(753\) | −24.7977 | − | 3.56537i | −0.903678 | − | 0.129929i | ||||
\(754\) | 44.0326 | + | 27.8133i | 1.60357 | + | 1.01290i | ||||
\(755\) | 1.13983 | + | 7.92768i | 0.0414826 | + | 0.288518i | ||||
\(756\) | 3.22472 | − | 0.515308i | 0.117282 | − | 0.0187416i | ||||
\(757\) | 29.3012 | + | 25.3897i | 1.06497 | + | 0.922803i | 0.997191 | − | 0.0748969i | \(-0.0238628\pi\) |
0.0677805 | + | 0.997700i | \(0.478408\pi\) | |||||||
\(758\) | 26.6990 | − | 17.4553i | 0.969753 | − | 0.634006i | ||||
\(759\) | 14.1596 | + | 12.1531i | 0.513959 | + | 0.441131i | ||||
\(760\) | 14.9978 | − | 2.51722i | 0.544028 | − | 0.0913092i | ||||
\(761\) | 8.98849 | − | 10.3733i | 0.325832 | − | 0.376031i | −0.569073 | − | 0.822287i | \(-0.692698\pi\) |
0.894905 | + | 0.446257i | \(0.147243\pi\) | |||||||
\(762\) | 4.84310 | − | 10.8285i | 0.175447 | − | 0.392275i | ||||
\(763\) | −29.2768 | + | 4.20937i | −1.05989 | + | 0.152390i | ||||
\(764\) | −20.0746 | + | 0.314389i | −0.726275 | + | 0.0113742i | ||||
\(765\) | 0.331391 | − | 2.30487i | 0.0119815 | − | 0.0833328i | ||||
\(766\) | −24.1345 | + | 28.2974i | −0.872015 | + | 1.02243i | ||||
\(767\) | −2.58605 | + | 4.02397i | −0.0933767 | + | 0.145297i | ||||
\(768\) | 7.79072 | − | 13.9751i | 0.281123 | − | 0.504285i | ||||
\(769\) | −0.144787 | + | 0.493098i | −0.00522114 | + | 0.0177816i | −0.962062 | − | 0.272830i | \(-0.912040\pi\) |
0.956841 | + | 0.290611i | \(0.0938586\pi\) | |||||||
\(770\) | −2.58256 | + | 9.05713i | −0.0930689 | + | 0.326396i | ||||
\(771\) | −19.0055 | + | 16.4684i | −0.684468 | + | 0.593095i | ||||
\(772\) | −17.1765 | + | 20.4616i | −0.618197 | + | 0.736429i | ||||
\(773\) | 18.8450 | + | 8.60624i | 0.677809 | + | 0.309545i | 0.724411 | − | 0.689369i | \(-0.242112\pi\) |
−0.0466020 | + | 0.998914i | \(0.514839\pi\) | |||||||
\(774\) | −9.89184 | + | 0.0774534i | −0.355555 | + | 0.00278400i | ||||
\(775\) | 8.21131 | + | 27.9651i | 0.294959 | + | 1.00454i | ||||
\(776\) | 0.345573 | + | 14.7090i | 0.0124053 | + | 0.528023i | ||||
\(777\) | −6.43310 | − | 14.0865i | −0.230786 | − | 0.505351i | ||||
\(778\) | −0.822391 | + | 0.723957i | −0.0294841 | + | 0.0259551i | ||||
\(779\) | 21.3844 | − | 13.7429i | 0.766177 | − | 0.492392i | ||||
\(780\) | 5.48220 | + | 11.5233i | 0.196294 | + | 0.412601i | ||||
\(781\) | − | 6.39041i | − | 0.228667i | ||||||
\(782\) | −11.5090 | − | 9.72272i | −0.411562 | − | 0.347684i | ||||
\(783\) | − | 6.05034i | − | 0.216222i | ||||||
\(784\) | −17.3271 | + | 0.542854i | −0.618826 | + | 0.0193876i | ||||
\(785\) | 14.8065 | − | 9.51556i | 0.528466 | − | 0.339625i | ||||
\(786\) | 2.95845 | + | 3.36070i | 0.105524 | + | 0.119872i | ||||
\(787\) | 11.1191 | + | 24.3473i | 0.396351 | + | 0.867888i | 0.997627 | + | 0.0688469i | \(0.0219320\pi\) |
−0.601276 | + | 0.799041i | \(0.705341\pi\) | |||||||
\(788\) | 43.7791 | + | 27.1760i | 1.55956 | + | 0.968103i | ||||
\(789\) | 5.21702 | + | 17.7676i | 0.185731 | + | 0.632542i | ||||
\(790\) | −0.0726177 | − | 9.27426i | −0.00258362 | − | 0.329963i | ||||
\(791\) | −22.2157 | − | 10.1456i | −0.789898 | − | 0.360734i | ||||
\(792\) | −1.30989 | + | 10.9268i | −0.0465451 | + | 0.388266i | ||||
\(793\) | −50.8733 | + | 44.0820i | −1.80656 | + | 1.56540i | ||||
\(794\) | −5.50076 | − | 1.56849i | −0.195215 | − | 0.0556637i | ||||
\(795\) | −1.80155 | + | 6.13552i | −0.0638944 | + | 0.217604i | ||||
\(796\) | −8.75322 | − | 9.78777i | −0.310250 | − | 0.346918i | ||||
\(797\) | −0.851164 | + | 1.32444i | −0.0301498 | + | 0.0469140i | −0.856001 | − | 0.516974i | \(-0.827059\pi\) |
0.825852 | + | 0.563888i | \(0.190695\pi\) | |||||||
\(798\) | 9.01162 | + | 7.68590i | 0.319008 | + | 0.272078i | ||||
\(799\) | 1.52645 | − | 10.6167i | 0.0540019 | − | 0.375592i | ||||
\(800\) | 3.99319 | + | 21.7040i | 0.141181 | + | 0.767353i | ||||
\(801\) | −2.92833 | + | 0.421031i | −0.103468 | + | 0.0148764i | ||||
\(802\) | −22.1406 | − | 9.90251i | −0.781812 | − | 0.349670i | ||||
\(803\) | 13.4228 | − | 15.4907i | 0.473679 | − | 0.546655i | ||||
\(804\) | −0.587864 | − | 0.257421i | −0.0207324 | − | 0.00907853i | ||||
\(805\) | −2.34967 | − | 7.86511i | −0.0828149 | − | 0.277209i | ||||
\(806\) | 35.1914 | + | 53.8276i | 1.23957 | + | 1.89600i | ||||
\(807\) | −2.45971 | − | 2.13135i | −0.0865859 | − | 0.0750271i | ||||
\(808\) | −10.9534 | − | 12.0566i | −0.385338 | − | 0.424150i | ||||
\(809\) | −2.07314 | − | 14.4190i | −0.0728879 | − | 0.506946i | −0.993260 | − | 0.115904i | \(-0.963024\pi\) |
0.920373 | − | 0.391043i | \(-0.127885\pi\) | |||||||
\(810\) | 0.791687 | − | 1.25336i | 0.0278170 | − | 0.0440385i | ||||
\(811\) | −17.0011 | − | 2.44439i | −0.596989 | − | 0.0858341i | −0.162805 | − | 0.986658i | \(-0.552054\pi\) |
−0.434184 | + | 0.900824i | \(0.642963\pi\) | |||||||
\(812\) | 2.50530 | − | 19.5987i | 0.0879186 | − | 0.687781i | ||||
\(813\) | −6.20207 | − | 3.98583i | −0.217516 | − | 0.139789i | ||||
\(814\) | 51.5959 | − | 7.83118i | 1.80843 | − | 0.274483i | ||||
\(815\) | 12.8761 | + | 3.78077i | 0.451030 | + | 0.132434i | ||||
\(816\) | 0.988510 | − | 8.83037i | 0.0346048 | − | 0.309125i | ||||
\(817\) | −23.4949 | − | 27.1145i | −0.821981 | − | 0.948617i | ||||
\(818\) | −0.482372 | + | 0.145749i | −0.0168657 | + | 0.00509600i | ||||
\(819\) | −4.12863 | + | 9.04044i | −0.144266 | + | 0.315898i | ||||
\(820\) | −5.75348 | − | 8.65166i | −0.200920 | − | 0.302129i | ||||
\(821\) | −38.9358 | + | 11.4326i | −1.35887 | + | 0.399000i | −0.878364 | − | 0.477992i | \(-0.841365\pi\) |
−0.480505 | + | 0.876992i | \(0.659547\pi\) | |||||||
\(822\) | −2.69460 | − | 5.78016i | −0.0939851 | − | 0.201606i | ||||
\(823\) | 16.7661 | − | 7.65683i | 0.584430 | − | 0.266900i | −0.101181 | − | 0.994868i | \(-0.532262\pi\) |
0.685611 | + | 0.727968i | \(0.259535\pi\) | |||||||
\(824\) | −26.3638 | + | 8.41858i | −0.918427 | + | 0.293275i | ||||
\(825\) | −8.20631 | − | 12.7693i | −0.285707 | − | 0.444569i | ||||
\(826\) | 1.79815 | + | 0.244181i | 0.0625657 | + | 0.00849613i | ||||
\(827\) | 3.14873 | 0.109492 | 0.0547460 | − | 0.998500i | \(-0.482565\pi\) | ||||
0.0547460 | + | 0.998500i | \(0.482565\pi\) | |||||||
\(828\) | −4.16137 | − | 8.64193i | −0.144618 | − | 0.300328i | ||||
\(829\) | 21.6870 | 0.753220 | 0.376610 | − | 0.926372i | \(-0.377090\pi\) | ||||
0.376610 | + | 0.926372i | \(0.377090\pi\) | |||||||
\(830\) | 4.76525 | + | 0.647099i | 0.165404 | + | 0.0224611i | ||||
\(831\) | 3.30485 | + | 5.14245i | 0.114644 | + | 0.178390i | ||||
\(832\) | 22.2860 | + | 43.2948i | 0.772629 | + | 1.50098i | ||||
\(833\) | −8.75726 | + | 3.99931i | −0.303421 | + | 0.138568i | ||||
\(834\) | −8.09178 | − | 17.3576i | −0.280195 | − | 0.601043i | ||||
\(835\) | 16.0942 | − | 4.72567i | 0.556961 | − | 0.163539i | ||||
\(836\) | −33.2357 | + | 22.1022i | −1.14948 | + | 0.764421i | ||||
\(837\) | 3.10358 | − | 6.79590i | 0.107276 | − | 0.234901i | ||||
\(838\) | −17.5540 | + | 5.30397i | −0.606393 | + | 0.183222i | ||||
\(839\) | −13.9701 | − | 16.1223i | −0.482301 | − | 0.556605i | 0.461491 | − | 0.887145i | \(-0.347315\pi\) |
−0.943792 | + | 0.330540i | \(0.892769\pi\) | |||||||
\(840\) | 3.08348 | − | 3.73216i | 0.106390 | − | 0.128772i | ||||
\(841\) | −7.29852 | − | 2.14304i | −0.251673 | − | 0.0738978i | ||||
\(842\) | 1.38331 | − | 0.209957i | 0.0476719 | − | 0.00723561i | ||||
\(843\) | 14.1296 | + | 9.08056i | 0.486650 | + | 0.312751i | ||||
\(844\) | 35.8076 | + | 4.57726i | 1.23255 | + | 0.157556i | ||||
\(845\) | −24.9525 | − | 3.58762i | −0.858391 | − | 0.123418i | ||||
\(846\) | 3.64666 | − | 5.77321i | 0.125375 | − | 0.198487i | ||||
\(847\) | −0.961742 | − | 6.68906i | −0.0330458 | − | 0.229839i | ||||
\(848\) | −6.13797 | + | 23.6161i | −0.210779 | + | 0.810981i | ||||
\(849\) | −13.4610 | − | 11.6640i | −0.461981 | − | 0.400309i | ||||
\(850\) | 6.70637 | + | 10.2578i | 0.230026 | + | 0.351840i | ||||
\(851\) | −34.2344 | + | 29.9475i | −1.17354 | + | 1.02659i | ||||
\(852\) | −1.31761 | + | 3.00899i | −0.0451407 | + | 0.103086i | ||||
\(853\) | −23.3620 | + | 26.9612i | −0.799899 | + | 0.923132i | −0.998376 | − | 0.0569732i | \(-0.981855\pi\) |
0.198477 | + | 0.980106i | \(0.436401\pi\) | |||||||
\(854\) | 23.3121 | + | 10.4265i | 0.797724 | + | 0.356786i | ||||
\(855\) | 5.32197 | − | 0.765183i | 0.182007 | − | 0.0261687i | ||||
\(856\) | 33.1267 | − | 22.4058i | 1.13225 | − | 0.765815i | ||||
\(857\) | −3.38685 | + | 23.5560i | −0.115692 | + | 0.804659i | 0.846520 | + | 0.532357i | \(0.178694\pi\) |
−0.962212 | + | 0.272301i | \(0.912215\pi\) | |||||||
\(858\) | −25.4828 | − | 21.7340i | −0.869969 | − | 0.741986i | ||||
\(859\) | 2.96480 | − | 4.61332i | 0.101158 | − | 0.157404i | −0.786985 | − | 0.616972i | \(-0.788359\pi\) |
0.888143 | + | 0.459568i | \(0.151996\pi\) | |||||||
\(860\) | −10.9311 | + | 9.77568i | −0.372746 | + | 0.333348i | ||||
\(861\) | 2.27980 | − | 7.76429i | 0.0776954 | − | 0.264606i | ||||
\(862\) | 35.7280 | + | 10.1875i | 1.21690 | + | 0.346988i | ||||
\(863\) | 16.4564 | − | 14.2595i | 0.560181 | − | 0.485400i | −0.328136 | − | 0.944631i | \(-0.606420\pi\) |
0.888317 | + | 0.459231i | \(0.151875\pi\) | |||||||
\(864\) | 2.86972 | − | 4.87490i | 0.0976300 | − | 0.165848i | ||||
\(865\) | 17.2302 | + | 7.86879i | 0.585846 | + | 0.267547i | ||||
\(866\) | −0.105789 | − | 13.5107i | −0.00359486 | − | 0.459111i | ||||
\(867\) | 3.39923 | + | 11.5767i | 0.115444 | + | 0.393166i | ||||
\(868\) | 12.8674 | − | 20.7287i | 0.436747 | − | 0.703577i | ||||
\(869\) | 10.1120 | + | 22.1423i | 0.343027 | + | 0.751125i | ||||
\(870\) | −5.92658 | − | 6.73239i | −0.200930 | − | 0.228250i | ||||
\(871\) | 1.64305 | − | 1.05593i | 0.0556728 | − | 0.0357787i | ||||
\(872\) | −26.6802 | + | 43.7411i | −0.903506 | + | 1.48126i | ||||
\(873\) | 5.20186i | 0.176056i | ||||||||
\(874\) | 14.0536 | − | 31.8228i | 0.475369 | − | 1.07642i | ||||
\(875\) | 15.2353i | 0.515047i | ||||||||
\(876\) | −9.51422 | + | 4.52638i | −0.321456 | + | 0.152932i | ||||
\(877\) | −26.7103 | + | 17.1656i | −0.901942 | + | 0.579643i | −0.907365 | − | 0.420343i | \(-0.861910\pi\) |
0.00542388 | + | 0.999985i | \(0.498274\pi\) | |||||||
\(878\) | −29.9506 | + | 26.3657i | −1.01078 | + | 0.889801i | ||||
\(879\) | 1.38955 | + | 3.04269i | 0.0468684 | + | 0.102627i | ||||
\(880\) | 9.24570 | + | 13.4416i | 0.311672 | + | 0.453118i | ||||
\(881\) | 15.6620 | + | 53.3398i | 0.527666 | + | 1.79706i | 0.600385 | + | 0.799711i | \(0.295014\pi\) |
−0.0727191 | + | 0.997352i | \(0.523168\pi\) | |||||||
\(882\) | −6.12888 | + | 0.0479893i | −0.206370 | + | 0.00161588i | ||||
\(883\) | 39.4193 | + | 18.0022i | 1.32656 | + | 0.605822i | 0.947561 | − | 0.319574i | \(-0.103540\pi\) |
0.379003 | + | 0.925396i | \(0.376267\pi\) | |||||||
\(884\) | 20.7118 | + | 17.3866i | 0.696613 | + | 0.584774i | ||||
\(885\) | 0.622567 | − | 0.539457i | 0.0209273 | − | 0.0181337i | ||||
\(886\) | −9.93546 | + | 34.8440i | −0.333788 | + | 1.17061i | ||||
\(887\) | 9.43689 | − | 32.1391i | 0.316860 | − | 1.07912i | −0.634980 | − | 0.772529i | \(-0.718992\pi\) |
0.951840 | − | 0.306596i | \(-0.0991901\pi\) | |||||||
\(888\) | −25.9091 | − | 6.95095i | −0.869454 | − | 0.233259i | ||||
\(889\) | 7.40452 | − | 11.5217i | 0.248340 | − | 0.386424i | ||||
\(890\) | −2.84602 | + | 3.33692i | −0.0953989 | + | 0.111854i | ||||
\(891\) | −0.553727 | + | 3.85125i | −0.0185505 | + | 0.129022i | ||||
\(892\) | −0.00820632 | − | 0.523996i | −0.000274768 | − | 0.0175447i | ||||
\(893\) | 24.5140 | − | 3.52458i | 0.820331 | − | 0.117946i | ||||
\(894\) | −5.26238 | + | 11.7659i | −0.176000 | + | 0.393512i | ||||
\(895\) | 9.95950 | − | 11.4939i | 0.332909 | − | 0.384198i | ||||
\(896\) | 11.3144 | − | 14.6029i | 0.377988 | − | 0.487848i | ||||
\(897\) | 28.9132 | + | 4.01829i | 0.965383 | + | 0.134167i | ||||
\(898\) | −5.59629 | + | 3.65875i | −0.186751 | + | 0.122094i | ||||
\(899\) | −34.1617 | − | 29.6012i | −1.13936 | − | 0.987257i | ||||
\(900\) | 1.23118 | + | 7.70458i | 0.0410395 | + | 0.256819i | ||||
\(901\) | 1.92849 | + | 13.4129i | 0.0642472 | + | 0.446849i | ||||
\(902\) | 23.0556 | + | 14.5631i | 0.767667 | + | 0.484898i | ||||
\(903\) | −11.3050 | − | 1.62541i | −0.376206 | − | 0.0540903i | ||||
\(904\) | −38.0594 | + | 18.4735i | −1.26584 | + | 0.614420i | ||||
\(905\) | −11.2846 | − | 7.25216i | −0.375112 | − | 0.241070i | ||||
\(906\) | 1.62145 | + | 10.6830i | 0.0538691 | + | 0.354918i | ||||
\(907\) | −10.0763 | − | 2.95868i | −0.334579 | − | 0.0982412i | 0.110128 | − | 0.993917i | \(-0.464874\pi\) |
−0.444707 | + | 0.895676i | \(0.646692\pi\) | |||||||
\(908\) | −50.5392 | + | 15.7034i | −1.67720 | + | 0.521134i | ||||
\(909\) | −3.77141 | − | 4.35244i | −0.125090 | − | 0.144361i | ||||
\(910\) | 4.26146 | + | 14.1037i | 0.141266 | + | 0.467534i | ||||
\(911\) | 13.6163 | − | 29.8155i | 0.451127 | − | 0.987831i | −0.538294 | − | 0.842757i | \(-0.680931\pi\) |
0.989421 | − | 0.145074i | \(-0.0463419\pi\) | |||||||
\(912\) | 20.2065 | − | 3.55434i | 0.669105 | − | 0.117696i | ||||
\(913\) | −12.1104 | + | 3.55594i | −0.400796 | + | 0.117684i | ||||
\(914\) | −15.8771 | + | 7.40162i | −0.525168 | + | 0.244824i | ||||
\(915\) | 10.5453 | − | 4.81587i | 0.348616 | − | 0.159208i | ||||
\(916\) | −1.93559 | + | 6.99545i | −0.0639538 | + | 0.231136i | ||||
\(917\) | 2.79481 | + | 4.34882i | 0.0922929 | + | 0.143611i | ||||
\(918\) | 0.422723 | − | 3.11294i | 0.0139519 | − | 0.102742i | ||||
\(919\) | 10.3526 | 0.341502 | 0.170751 | − | 0.985314i | \(-0.445381\pi\) | ||||
0.170751 | + | 0.985314i | \(0.445381\pi\) | |||||||
\(920\) | −13.0956 | − | 5.53988i | −0.431750 | − | 0.182645i | ||||
\(921\) | −30.5548 | −1.00681 | ||||||||
\(922\) | −2.15964 | + | 15.9036i | −0.0711239 | + | 0.523758i | ||||
\(923\) | −5.40478 | − | 8.41001i | −0.177901 | − | 0.276819i | ||||
\(924\) | −3.38838 | + | 12.2460i | −0.111470 | + | 0.402864i | ||||
\(925\) | 33.6558 | − | 15.3701i | 1.10660 | − | 0.505366i | ||||
\(926\) | −37.0530 | + | 17.2734i | −1.21764 | + | 0.567640i | ||||
\(927\) | −9.38836 | + | 2.75667i | −0.308354 | + | 0.0905409i | ||||
\(928\) | −23.4084 | − | 24.9692i | −0.768419 | − | 0.819653i | ||||
\(929\) | 18.1490 | − | 39.7407i | 0.595449 | − | 1.30385i | −0.336644 | − | 0.941632i | \(-0.609292\pi\) |
0.932093 | − | 0.362219i | \(-0.117981\pi\) | |||||||
\(930\) | −3.20343 | − | 10.6021i | −0.105045 | − | 0.347656i | ||||
\(931\) | −14.5572 | − | 16.7999i | −0.477092 | − | 0.550594i | ||||
\(932\) | 51.8235 | − | 16.1024i | 1.69753 | − | 0.527451i | ||||
\(933\) | 10.9528 | + | 3.21604i | 0.358580 | + | 0.105289i | ||||
\(934\) | −2.66684 | − | 17.5705i | −0.0872616 | − | 0.574925i | ||||
\(935\) | 7.62188 | + | 4.89828i | 0.249262 | + | 0.160191i | ||||
\(936\) | 7.51761 | + | 15.4879i | 0.245721 | + | 0.506237i | ||||
\(937\) | −9.93644 | − | 1.42865i | −0.324609 | − | 0.0466718i | −0.0219162 | − | 0.999760i | \(-0.506977\pi\) |
−0.302693 | + | 0.953088i | \(0.597886\pi\) | |||||||
\(938\) | −0.626449 | − | 0.395698i | −0.0204543 | − | 0.0129200i | ||||
\(939\) | 0.144130 | + | 1.00245i | 0.00470350 | + | 0.0327136i | ||||
\(940\) | −1.59737 | − | 9.99609i | −0.0521004 | − | 0.326037i | ||||
\(941\) | −15.1888 | − | 13.1612i | −0.495141 | − | 0.429042i | 0.371157 | − | 0.928570i | \(-0.378961\pi\) |
−0.866298 | + | 0.499528i | \(0.833507\pi\) | |||||||
\(942\) | 19.8745 | − | 12.9936i | 0.647547 | − | 0.423354i | ||||
\(943\) | −23.7674 | + | 0.111856i | −0.773972 | + | 0.00364254i | ||||
\(944\) | 2.31001 | − | 2.13188i | 0.0751843 | − | 0.0693868i | ||||
\(945\) | 1.12087 | − | 1.29355i | 0.0364617 | − | 0.0420791i | ||||
\(946\) | 15.7142 | − | 35.1349i | 0.510914 | − | 1.14233i | ||||
\(947\) | 32.1298 | − | 4.61957i | 1.04408 | − | 0.150116i | 0.401127 | − | 0.916023i | \(-0.368619\pi\) |
0.642952 | + | 0.765907i | \(0.277710\pi\) | |||||||
\(948\) | −0.195933 | − | 12.5109i | −0.00636361 | − | 0.406334i | ||||
\(949\) | 4.56336 | − | 31.7388i | 0.148133 | − | 1.03029i | ||||
\(950\) | −18.3633 | + | 21.5307i | −0.595785 | + | 0.698550i | ||||
\(951\) | 7.13413 | − | 11.1009i | 0.231340 | − | 0.359972i | ||||
\(952\) | 2.65831 | − | 9.90863i | 0.0861562 | − | 0.321141i | ||||
\(953\) | 15.1690 | − | 51.6610i | 0.491373 | − | 1.67346i | −0.223895 | − | 0.974613i | \(-0.571877\pi\) |
0.715268 | − | 0.698850i | \(-0.246304\pi\) | |||||||
\(954\) | −2.36561 | + | 8.29629i | −0.0765895 | + | 0.268602i | ||||
\(955\) | −7.95272 | + | 6.89107i | −0.257344 | + | 0.222990i | ||||
\(956\) | −19.7673 | − | 16.5937i | −0.639320 | − | 0.536679i | ||||
\(957\) | 21.4137 | + | 9.77929i | 0.692205 | + | 0.316120i | ||||
\(958\) | 36.4543 | − | 0.285438i | 1.17778 | − | 0.00922209i | ||||
\(959\) | −2.07445 | − | 7.06492i | −0.0669875 | − | 0.228138i | ||||
\(960\) | −1.58196 | − | 8.23547i | −0.0510574 | − | 0.265799i | ||||
\(961\) | −10.3091 | − | 22.5738i | −0.332552 | − | 0.728188i | ||||
\(962\) | 61.2787 | − | 53.9441i | 1.97570 | − | 1.73923i | ||||
\(963\) | 11.8949 | − | 7.64438i | 0.383307 | − | 0.246337i | ||||
\(964\) | −13.0441 | + | 6.20573i | −0.420123 | + | 0.199873i | ||||
\(965\) | 14.0022i | 0.450748i | ||||||||
\(966\) | −3.25295 | − | 10.5858i | −0.104662 | − | 0.340592i | ||||
\(967\) | 27.4522i | 0.882802i | 0.897310 | + | 0.441401i | \(0.145518\pi\) | ||||
−0.897310 | + | 0.441401i | \(0.854482\pi\) | |||||||
\(968\) | −9.99381 | − | 6.09580i | −0.321213 | − | 0.195926i | ||||
\(969\) | 9.58515 | − | 6.16000i | 0.307919 | − | 0.197888i | ||||
\(970\) | 5.09545 | + | 5.78826i | 0.163605 | + | 0.185850i | ||||
\(971\) | −3.14673 | − | 6.89037i | −0.100983 | − | 0.221122i | 0.852396 | − | 0.522896i | \(-0.175149\pi\) |
−0.953380 | + | 0.301774i | \(0.902421\pi\) | |||||||
\(972\) | 1.05480 | − | 1.69923i | 0.0338328 | − | 0.0545029i | ||||
\(973\) | −6.22948 | − | 21.2157i | −0.199708 | − | 0.680143i | ||||
\(974\) | −0.378869 | − | 48.3867i | −0.0121398 | − | 1.55041i | ||||
\(975\) | −21.5996 | − | 9.86421i | −0.691741 | − | 0.315908i | ||||
\(976\) | 39.6442 | − | 19.6278i | 1.26898 | − | 0.628270i | ||||
\(977\) | −17.1639 | + | 14.8726i | −0.549123 | + | 0.475817i | −0.884678 | − | 0.466203i | \(-0.845622\pi\) |
0.335555 | + | 0.942021i | \(0.391076\pi\) | |||||||
\(978\) | 17.4107 | + | 4.96451i | 0.556734 | + | 0.158748i | ||||
\(979\) | 3.24299 | − | 11.0446i | 0.103646 | − | 0.352987i | ||||
\(980\) | −6.77278 | + | 6.05691i | −0.216348 | + | 0.193481i | ||||
\(981\) | −9.79351 | + | 15.2390i | −0.312683 | + | 0.486544i | ||||
\(982\) | −25.0009 | − | 21.3230i | −0.797812 | − | 0.680444i | ||||
\(983\) | −2.31473 | + | 16.0993i | −0.0738284 | + | 0.513488i | 0.919030 | + | 0.394188i | \(0.128974\pi\) |
−0.992858 | + | 0.119300i | \(0.961935\pi\) | |||||||
\(984\) | −7.85325 | − | 11.6109i | −0.250352 | − | 0.370143i | ||||
\(985\) | 26.7323 | − | 3.84353i | 0.851763 | − | 0.122465i | ||||
\(986\) | −17.3509 | − | 7.76026i | −0.552564 | − | 0.247137i | ||||
\(987\) | 5.16292 | − | 5.95833i | 0.164338 | − | 0.189656i | ||||
\(988\) | −25.0460 | + | 57.1969i | −0.796821 | + | 1.81967i | ||||
\(989\) | 4.93029 | + | 33.1816i | 0.156774 | + | 1.05511i | ||||
\(990\) | 3.15632 | + | 4.82780i | 0.100315 | + | 0.153438i | ||||
\(991\) | −2.47654 | − | 2.14594i | −0.0786699 | − | 0.0681679i | 0.614638 | − | 0.788809i | \(-0.289302\pi\) |
−0.693308 | + | 0.720641i | \(0.743847\pi\) | |||||||
\(992\) | −13.4847 | − | 40.0536i | −0.428141 | − | 1.27170i | ||||
\(993\) | 1.38609 | + | 9.64045i | 0.0439861 | + | 0.305930i | ||||
\(994\) | −2.02539 | + | 3.20649i | −0.0642414 | + | 0.101704i | ||||
\(995\) | −6.81218 | − | 0.979444i | −0.215961 | − | 0.0310505i | ||||
\(996\) | 6.43550 | + | 0.822646i | 0.203917 | + | 0.0260665i | ||||
\(997\) | −12.4638 | − | 8.01003i | −0.394734 | − | 0.253680i | 0.328184 | − | 0.944614i | \(-0.393563\pi\) |
−0.722918 | + | 0.690934i | \(0.757200\pi\) | |||||||
\(998\) | 37.3698 | − | 5.67196i | 1.18292 | − | 0.179543i | ||||
\(999\) | −9.10002 | − | 2.67201i | −0.287912 | − | 0.0845385i |
(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 | 276.2.m.a.7.14 | ✓ | 240 | |
3.2 | odd | 2 | 828.2.u.c.559.11 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.7.22 | yes | 240 | |
12.11 | even | 2 | 828.2.u.c.559.3 | 240 | |||
23.10 | odd | 22 | inner | 276.2.m.a.79.22 | yes | 240 | |
69.56 | even | 22 | 828.2.u.c.631.3 | 240 | |||
92.79 | even | 22 | inner | 276.2.m.a.79.14 | yes | 240 | |
276.263 | odd | 22 | 828.2.u.c.631.11 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.7.14 | ✓ | 240 | 1.1 | even | 1 | trivial | |
276.2.m.a.7.22 | yes | 240 | 4.3 | odd | 2 | inner | |
276.2.m.a.79.14 | yes | 240 | 92.79 | even | 22 | inner | |
276.2.m.a.79.22 | yes | 240 | 23.10 | odd | 22 | inner | |
828.2.u.c.559.3 | 240 | 12.11 | even | 2 | |||
828.2.u.c.559.11 | 240 | 3.2 | odd | 2 | |||
828.2.u.c.631.3 | 240 | 69.56 | even | 22 | |||
828.2.u.c.631.11 | 240 | 276.263 | odd | 22 |